LMFDB - Embedded newform 73.2.h.a.3.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [73,2,Mod(3,73)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(73, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([1]))

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

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

chi := DirichletCharacter("73.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 73 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	73.h (of order $12$, 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:	$0.582907934755$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{12})$
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} + 28 x^{18} + 326 x^{16} + 2044 x^{14} + 7471 x^{12} + 16090 x^{10} + 19590 x^{8} + 12030 x^{6} + \cdots + 1 $ x^20 + 28x^18 + 326x^16 + 2044x^14 + 7471x^12 + 16090x^10 + 19590x^8 + 12030x^6 + 2877x^4 + 230*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			3.1
Root			$-2.49160i$ of defining polynomial
Character	$\chi$	$=$	73.3
Dual form			73.2.h.a.49.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.24580 + 2.15779i) q^{2} +2.90855i q^{3} +(-2.10403 - 3.64429i) q^{4} +(1.39079 + 0.372661i) q^{5} +(-6.27603 - 3.62347i) q^{6} +(2.87065 - 2.87065i) q^{7} +5.50161 q^{8} -5.45964 q^{9} +O(q^{10})$	\(q+(-1.24580 + 2.15779i) q^{2} +2.90855i q^{3} +(-2.10403 - 3.64429i) q^{4} +(1.39079 + 0.372661i) q^{5} +(-6.27603 - 3.62347i) q^{6} +(2.87065 - 2.87065i) q^{7} +5.50161 q^{8} -5.45964 q^{9} +(-2.53677 + 2.53677i) q^{10} +(-0.224728 + 0.838698i) q^{11} +(10.5996 - 6.11967i) q^{12} +(-2.18693 + 0.585985i) q^{13} +(2.61800 + 9.77052i) q^{14} +(-1.08390 + 4.04517i) q^{15} +(-2.64584 + 4.58272i) q^{16} +(0.00830215 - 0.00830215i) q^{17} +(6.80162 - 11.7807i) q^{18} +(-0.315382 - 0.182086i) q^{19} +(-1.56818 - 5.85253i) q^{20} +(8.34943 + 8.34943i) q^{21} +(-1.52977 - 1.52977i) q^{22} +(6.47077 - 3.73590i) q^{23} +16.0017i q^{24} +(-2.53471 - 1.46341i) q^{25} +(1.46004 - 5.44894i) q^{26} -7.15398i q^{27} +(-16.5014 - 4.42155i) q^{28} +(-9.01865 + 2.41654i) q^{29} +(-7.37831 - 7.37831i) q^{30} +(4.51564 - 1.20996i) q^{31} +(-1.09075 - 1.88924i) q^{32} +(-2.43939 - 0.653633i) q^{33} +(0.00757147 + 0.0282571i) q^{34} +(5.06225 - 2.92269i) q^{35} +(11.4873 + 19.8965i) q^{36} +(2.95851 + 5.12430i) q^{37} +(0.785805 - 0.453685i) q^{38} +(-1.70436 - 6.36078i) q^{39} +(7.65158 + 2.05023i) q^{40} +(-1.95865 - 3.39248i) q^{41} +(-28.4180 + 7.61458i) q^{42} +(-0.903686 - 0.903686i) q^{43} +(3.52929 - 0.945671i) q^{44} +(-7.59321 - 2.03459i) q^{45} +18.6167i q^{46} +(0.796053 - 2.97091i) q^{47} +(-13.3291 - 7.69554i) q^{48} -9.48129i q^{49} +(6.31548 - 3.64624i) q^{50} +(0.0241472 + 0.0241472i) q^{51} +(6.73686 + 6.73686i) q^{52} +(0.926027 + 3.45598i) q^{53} +(15.4368 + 8.91243i) q^{54} +(-0.625100 + 1.08270i) q^{55} +(15.7932 - 15.7932i) q^{56} +(0.529605 - 0.917303i) q^{57} +(6.02105 - 22.4709i) q^{58} +(-0.862254 - 3.21797i) q^{59} +(17.0224 - 4.56113i) q^{60} +(8.60146 - 4.96605i) q^{61} +(-3.01474 + 11.2512i) q^{62} +(-15.6727 + 15.6727i) q^{63} -5.14790 q^{64} -3.25993 q^{65} +(4.44939 - 4.44939i) q^{66} +(2.27052 + 1.31088i) q^{67} +(-0.0477234 - 0.0127875i) q^{68} +(10.8660 + 18.8205i) q^{69} +14.5644i q^{70} +(-4.58569 + 7.94266i) q^{71} -30.0368 q^{72} +(3.72245 - 7.69047i) q^{73} -14.7429 q^{74} +(4.25641 - 7.37232i) q^{75} +1.53246i q^{76} +(1.76249 + 3.05273i) q^{77} +(15.8485 + 4.24659i) q^{78} +(-6.89789 - 3.98250i) q^{79} +(-5.38760 + 5.38760i) q^{80} +4.42877 q^{81} +9.76034 q^{82} +(-6.71731 + 6.71731i) q^{83} +(12.8603 - 47.9952i) q^{84} +(0.0146404 - 0.00845266i) q^{85} +(3.07577 - 0.824151i) q^{86} +(-7.02862 - 26.2312i) q^{87} +(-1.23637 + 4.61419i) q^{88} +(-1.94619 + 3.37090i) q^{89} +(13.8498 - 13.8498i) q^{90} +(-4.59574 + 7.96006i) q^{91} +(-27.2294 - 15.7209i) q^{92} +(3.51923 + 13.1340i) q^{93} +(5.41887 + 5.41887i) q^{94} +(-0.370773 - 0.370773i) q^{95} +(5.49494 - 3.17251i) q^{96} +4.75526i q^{97} +(20.4586 + 11.8118i) q^{98} +(1.22694 - 4.57899i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) $ 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9 - 12 * q^10 - 6 * q^11 + 30 * q^12 - 16 * q^13 - 8 * q^14 + 8 * q^15 - 4 * q^16 + 8 * q^17 + 4 * q^18 - 12 * q^19 + 8 * q^20 + 24 * q^21 + 8 * q^22 - 6 * q^23 - 36 * q^25 - 36 * q^26 - 12 * q^28 - 6 * q^29 + 34 * q^30 + 20 * q^31 - 6 * q^32 + 34 * q^33 + 36 * q^34 + 18 * q^35 + 18 * q^36 - 8 * q^37 - 66 * q^38 + 28 * q^39 - 2 * q^40 + 10 * q^41 - 56 * q^42 + 12 * q^43 + 34 * q^44 - 4 * q^45 - 20 * q^47 - 48 * q^48 + 30 * q^50 - 36 * q^51 + 80 * q^52 + 24 * q^53 + 24 * q^54 + 10 * q^55 + 10 * q^57 + 54 * q^58 - 18 * q^59 + 50 * q^60 + 42 * q^61 - 12 * q^62 - 48 * q^63 - 56 * q^64 - 44 * q^65 - 10 * q^66 - 42 * q^67 - 44 * q^68 + 24 * q^69 + 4 * q^71 - 112 * q^72 - 16 * q^73 - 96 * q^74 - 52 * q^75 + 52 * q^77 - 12 * q^78 + 54 * q^79 - 2 * q^80 + 60 * q^81 + 32 * q^82 - 30 * q^83 - 16 * q^84 + 6 * q^85 + 16 * q^86 + 32 * q^87 + 2 * q^88 - 22 * q^89 - 110 * q^90 - 8 * q^91 - 78 * q^92 + 78 * q^93 + 38 * q^94 + 38 * q^95 + 72 * q^96 + 138 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/73\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{1}{12}\right)$

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 $

$2$	−1.24580	+	2.15779i	−0.880913	+	1.52579i	−0.0305858	+	0.999532i	$0.509737\pi$
$2$	−1.24580	+	2.15779i	−0.880913	+	1.52579i	−0.850327	+	0.526254i	$0.823596\pi$
$3$			2.90855i			1.67925i	0.543166	+	0.839625i	$0.317225\pi$
$3$			2.90855i			1.67925i	−0.543166	+	0.839625i	$0.682775\pi$
$4$	−2.10403	−	3.64429i	−1.05202	−	1.82215i
$5$	1.39079	+	0.372661i	0.621980	+	0.166659i	0.556028	−	0.831164i	$-0.312325\pi$
$5$	1.39079	+	0.372661i	0.621980	+	0.166659i	0.0659522	+	0.997823i	$0.478992\pi$
$6$	−6.27603	−	3.62347i	−2.56218	−	1.47927i
$7$	2.87065	−	2.87065i	1.08500	−	1.08500i	0.0889704	−	0.996034i	$-0.471642\pi$
$7$	2.87065	−	2.87065i	1.08500	−	1.08500i	0.996034	−	0.0889704i	$-0.0283576\pi$
$8$	5.50161			1.94511
$9$	−5.45964			−1.81988
$10$	−2.53677	+	2.53677i	−0.802196	+	0.802196i
$11$	−0.224728	+	0.838698i	−0.0677582	+	0.252877i	−0.991494	−	0.130154i	$-0.958453\pi$
$11$	−0.224728	+	0.838698i	−0.0677582	+	0.252877i	0.923736	+	0.383031i	$0.125120\pi$
$12$	10.5996	−	6.11967i	3.05984	−	1.76660i
$13$	−2.18693	+	0.585985i	−0.606544	+	0.162523i	−0.549003	−	0.835820i	$-0.684993\pi$
$13$	−2.18693	+	0.585985i	−0.606544	+	0.162523i	−0.0575408	+	0.998343i	$0.518326\pi$
$14$	2.61800	+	9.77052i	0.699690	+	2.61128i
$15$	−1.08390	+	4.04517i	−0.279862	+	1.04446i
$16$	−2.64584	+	4.58272i	−0.661459	+	1.14568i
$17$	0.00830215	−	0.00830215i	0.00201357	−	0.00201357i	−0.706099	−	0.708113i	$-0.749547\pi$
$17$	0.00830215	−	0.00830215i	0.00201357	−	0.00201357i	0.708113	+	0.706099i	$0.249547\pi$
$18$	6.80162	−	11.7807i	1.60316	−	2.77675i
$19$	−0.315382	−	0.182086i	−0.0723536	−	0.0417733i	0.463387	−	0.886156i	$-0.346634\pi$
$19$	−0.315382	−	0.182086i	−0.0723536	−	0.0417733i	−0.535740	+	0.844383i	$0.679967\pi$
$20$	−1.56818	−	5.85253i	−0.350656	−	1.30867i
$21$	8.34943	+	8.34943i	1.82199	+	1.82199i
$22$	−1.52977	−	1.52977i	−0.326147	−	0.326147i
$23$	6.47077	−	3.73590i	1.34925	−	0.778989i	0.361105	−	0.932525i	$-0.382400\pi$
$23$	6.47077	−	3.73590i	1.34925	−	0.778989i	0.988143	+	0.153537i	$0.0490663\pi$
$24$			16.0017i			3.26633i
$25$	−2.53471	−	1.46341i	−0.506942	−	0.292683i
$26$	1.46004	−	5.44894i	0.286337	−	1.06863i
$27$		−	7.15398i		−	1.37678i
$28$	−16.5014	−	4.42155i	−3.11848	−	0.835594i
$29$	−9.01865	+	2.41654i	−1.67472	+	0.448740i	−0.966378	−	0.257127i	$-0.917224\pi$
$29$	−9.01865	+	2.41654i	−1.67472	+	0.448740i	−0.708344	+	0.705867i	$0.750558\pi$
$30$	−7.37831	−	7.37831i	−1.34709	−	1.34709i
$31$	4.51564	−	1.20996i	0.811033	−	0.217316i	0.170611	−	0.985338i	$-0.445426\pi$
$31$	4.51564	−	1.20996i	0.811033	−	0.217316i	0.640423	+	0.768023i	$0.278759\pi$
$32$	−1.09075	−	1.88924i	−0.192820	−	0.333974i
$33$	−2.43939	−	0.653633i	−0.424643	−	0.113783i
$34$	0.00757147	+	0.0282571i	0.00129850	+	0.00484605i
$35$	5.06225	−	2.92269i	0.855677	−	0.494025i
$36$	11.4873	+	19.8965i	1.91454	+	3.31609i
$37$	2.95851	+	5.12430i	0.486377	+	0.842429i	0.999877	−	0.0156598i	$-0.00498489\pi$
$37$	2.95851	+	5.12430i	0.486377	+	0.842429i	−0.513501	+	0.858089i	$0.671652\pi$
$38$	0.785805	−	0.453685i	0.127474	−	0.0735974i
$39$	−1.70436	−	6.36078i	−0.272917	−	1.01854i
$40$	7.65158	+	2.05023i	1.20982	+	0.324170i
$41$	−1.95865	−	3.39248i	−0.305890	−	0.529816i	0.671569	−	0.740942i	$-0.265621\pi$
$41$	−1.95865	−	3.39248i	−0.305890	−	0.529816i	−0.977459	+	0.211125i	$0.932287\pi$
$42$	−28.4180	+	7.61458i	−4.38499	+	1.17496i
$43$	−0.903686	−	0.903686i	−0.137811	−	0.137811i	0.634836	−	0.772647i	$-0.281068\pi$
$43$	−0.903686	−	0.903686i	−0.137811	−	0.137811i	−0.772647	+	0.634836i	$0.781068\pi$
$44$	3.52929	−	0.945671i	0.532061	−	0.142565i
$45$	−7.59321	−	2.03459i	−1.13193	−	0.303299i
$46$			18.6167i			2.74489i
$47$	0.796053	−	2.97091i	0.116116	−	0.433352i	−0.883252	−	0.468899i	$-0.844651\pi$
$47$	0.796053	−	2.97091i	0.116116	−	0.433352i	0.999368	+	0.0355472i	$0.0113174\pi$
$48$	−13.3291	−	7.69554i	−1.92388	−	1.11076i
$49$		−	9.48129i		−	1.35447i
$50$	6.31548	−	3.64624i	0.893143	−	0.515656i
$51$	0.0241472	+	0.0241472i	0.00338128	+	0.00338128i
$52$	6.73686	+	6.73686i	0.934235	+	0.934235i
$53$	0.926027	+	3.45598i	0.127200	+	0.474715i	0.999909	−	0.0135254i	$-0.00430541\pi$
$53$	0.926027	+	3.45598i	0.127200	+	0.474715i	−0.872709	+	0.488241i	$0.837639\pi$
$54$	15.4368	+	8.91243i	2.10068	+	1.21283i
$55$	−0.625100	+	1.08270i	−0.0842884	+	0.145992i
$56$	15.7932	−	15.7932i	2.11046	−	2.11046i
$57$	0.529605	−	0.917303i	0.0701479	−	0.121500i
$58$	6.02105	−	22.4709i	0.790603	−	2.95057i
$59$	−0.862254	−	3.21797i	−0.112256	−	0.418945i	0.886811	−	0.462132i	$-0.152915\pi$
$59$	−0.862254	−	3.21797i	−0.112256	−	0.418945i	−0.999067	+	0.0431875i	$0.986249\pi$
$60$	17.0224	−	4.56113i	2.19758	−	0.588839i
$61$	8.60146	−	4.96605i	1.10130	−	0.635838i	0.164741	−	0.986337i	$-0.447321\pi$
$61$	8.60146	−	4.96605i	1.10130	−	0.635838i	0.936563	+	0.350499i	$0.113988\pi$
$62$	−3.01474	+	11.2512i	−0.382873	+	1.42890i
$63$	−15.6727	+	15.6727i	−1.97458	+	1.97458i
$64$	−5.14790			−0.643488
$65$	−3.25993			−0.404344
$66$	4.44939	−	4.44939i	0.547682	−	0.547682i
$67$	2.27052	+	1.31088i	0.277388	+	0.160150i	0.632240	−	0.774772i	$-0.282136\pi$
$67$	2.27052	+	1.31088i	0.277388	+	0.160150i	−0.354853	+	0.934922i	$0.615469\pi$
$68$	−0.0477234	−	0.0127875i	−0.00578732	−	0.00155071i
$69$	10.8660	+	18.8205i	1.30812	+	2.26572i
$70$			14.5644i			1.74077i
$71$	−4.58569	+	7.94266i	−0.544222	+	0.942620i	0.454434	+	0.890781i	$0.349842\pi$
$71$	−4.58569	+	7.94266i	−0.544222	+	0.942620i	−0.998655	+	0.0518392i	$0.983492\pi$
$72$	−30.0368			−3.53987
$73$	3.72245	−	7.69047i	0.435680	−	0.900102i
$73$	3.72245	−	7.69047i	0.435680	−	0.900102i
$74$	−14.7429			−1.71382
$75$	4.25641	−	7.37232i	0.491488	−	0.851282i
$76$			1.53246i			0.175785i
$77$	1.76249	+	3.05273i	0.200855	+	0.347890i
$78$	15.8485	+	4.24659i	1.79449	+	0.480832i
$79$	−6.89789	−	3.98250i	−0.776073	−	0.448066i	0.0589635	−	0.998260i	$-0.481220\pi$
$79$	−6.89789	−	3.98250i	−0.776073	−	0.448066i	−0.835037	+	0.550194i	$0.814554\pi$
$80$	−5.38760	+	5.38760i	−0.602352	+	0.602352i
$81$	4.42877			0.492085
$82$	9.76034			1.07785
$83$	−6.71731	+	6.71731i	−0.737320	+	0.737320i	−0.972059	−	0.234738i	$-0.924577\pi$
$83$	−6.71731	+	6.71731i	−0.737320	+	0.737320i	0.234738	+	0.972059i	$0.424577\pi$
$84$	12.8603	−	47.9952i	1.40317	−	5.23670i
$85$	0.0146404	−	0.00845266i	0.00158798	−	0.000916819i
$86$	3.07577	−	0.824151i	0.331669	−	0.0888705i
$87$	−7.02862	−	26.2312i	−0.753547	−	2.81228i
$88$	−1.23637	+	4.61419i	−0.131797	+	0.491874i
$89$	−1.94619	+	3.37090i	−0.206296	+	0.357315i	−0.950545	−	0.310588i	$-0.899474\pi$
$89$	−1.94619	+	3.37090i	−0.206296	+	0.357315i	0.744249	+	0.667902i	$0.232808\pi$
$90$	13.8498	−	13.8498i	1.45990	−	1.45990i
$91$	−4.59574	+	7.96006i	−0.481765	+	0.834441i
$92$	−27.2294	−	15.7209i	−2.83886	−	1.63902i
$93$	3.51923	+	13.1340i	0.364927	+	1.36193i
$94$	5.41887	+	5.41887i	0.558914	+	0.558914i
$95$	−0.370773	−	0.370773i	−0.0380406	−	0.0380406i
$96$	5.49494	−	3.17251i	0.560825	−	0.323793i
$97$			4.75526i			0.482823i	0.970423	+	0.241412i	$0.0776104\pi$
$97$			4.75526i			0.482823i	−0.970423	+	0.241412i	$0.922390\pi$
$98$	20.4586	+	11.8118i	2.06663	+	1.19317i
$99$	1.22694	−	4.57899i	0.123312	−	0.460206i
$100$			12.3163i			1.23163i
$101$	−11.7934	−	3.16003i	−1.17349	−	0.314435i	−0.381147	−	0.924514i	$-0.624471\pi$
$101$	−11.7934	−	3.16003i	−1.17349	−	0.314435i	−0.792340	+	0.610079i	$0.791138\pi$
$102$	−0.0821871	+	0.0220220i	−0.00813773	+	0.00218050i
$103$	−0.0529414	−	0.0529414i	−0.00521647	−	0.00521647i	0.704494	−	0.709710i	$-0.251174\pi$
$103$	−0.0529414	−	0.0529414i	−0.00521647	−	0.00521647i	−0.709710	+	0.704494i	$0.751174\pi$
$104$	−12.0316	+	3.22386i	−1.17980	+	0.316125i
$105$	8.50079	+	14.7238i	0.829592	+	1.43690i
$106$	−8.61092	−	2.30729i	−0.836366	−	0.224104i
$107$	−0.400955	−	1.49638i	−0.0387618	−	0.144661i	0.943833	−	0.330423i	$-0.107191\pi$
$107$	−0.400955	−	1.49638i	−0.0387618	−	0.144661i	−0.982595	+	0.185762i	$0.940525\pi$
$108$	−26.0712	+	15.0522i	−2.50870	+	1.44840i
$109$	−7.38101	−	12.7843i	−0.706973	−	1.22451i	−0.965975	−	0.258636i	$-0.916727\pi$
$109$	−7.38101	−	12.7843i	−0.706973	−	1.22451i	0.259002	−	0.965877i	$-0.416606\pi$
$110$	−1.55750	−	2.69766i	−0.148502	−	0.257212i
$111$	−14.9043	+	8.60498i	−1.41465	+	0.816748i
$112$	5.56013	+	20.7507i	0.525383	+	1.96076i
$113$	−13.4601	−	3.60661i	−1.26622	−	0.339282i	−0.437636	−	0.899152i	$-0.644184\pi$
$113$	−13.4601	−	3.60661i	−1.26622	−	0.339282i	−0.828580	+	0.559870i	$0.810851\pi$
$114$	1.31956	+	2.28555i	0.123588	+	0.214061i
$115$	10.3917	−	2.78445i	0.969030	−	0.259651i
$116$	27.7821	+	27.7821i	2.57950	+	2.57950i
$117$	11.9398	−	3.19927i	1.10384	−	0.295772i
$118$	8.01790	+	2.14839i	0.738108	+	0.197775i
$119$		−	0.0476652i		−	0.00436946i
$120$	−5.96320	+	22.2550i	−0.544363	+	2.03159i
$121$	8.87337	+	5.12304i	0.806670	+	0.465731i
$122$			24.7468i			2.24047i
$123$	9.86719	−	5.69682i	0.889694	−	0.513665i
$124$	−13.9105	−	13.9105i	−1.24920	−	1.24920i
$125$	−8.07053	−	8.07053i	−0.721850	−	0.721850i
$126$	−14.2934	−	53.3435i	−1.27335	−	4.75222i
$127$	17.0220	+	9.82764i	1.51046	+	0.872062i	0.999926	+	0.0122016i	$0.00388400\pi$
$127$	17.0220	+	9.82764i	1.51046	+	0.872062i	0.510530	+	0.859860i	$0.329449\pi$
$128$	8.59476	−	14.8866i	0.759677	−	1.31580i
$129$	2.62841	−	2.62841i	0.231419	−	0.231419i
$130$	4.06121	−	7.03423i	0.356192	−	0.616943i
$131$	0.927176	−	3.46027i	0.0810078	−	0.302325i	−0.913521	−	0.406793i	$-0.866647\pi$
$131$	0.927176	−	3.46027i	0.0810078	−	0.302325i	0.994528	+	0.104468i	$0.0333138\pi$
$132$	2.75053	+	10.2651i	0.239403	+	0.893463i
$133$	−1.42806	+	0.382647i	−0.123828	+	0.0331797i
$134$	−5.65721	+	3.26619i	−0.488709	+	0.282156i
$135$	2.66601	−	9.94968i	0.229454	−	0.856332i
$136$	0.0456752	−	0.0456752i	0.00391662	−	0.00391662i
$137$	16.4807			1.40804			0.704019	−	0.710181i	$-0.251387\pi$
$137$	16.4807			1.40804			0.704019	+	0.710181i	$0.251387\pi$
$138$	−54.1476			−4.60935
$139$	3.23124	−	3.23124i	0.274070	−	0.274070i	−0.556666	−	0.830736i	$-0.687920\pi$
$139$	3.23124	−	3.23124i	0.274070	−	0.274070i	0.830736	+	0.556666i	$0.187920\pi$
$140$	−21.3023	−	12.2989i	−1.80037	−	1.03944i
$141$	8.64103	+	2.31536i	0.727706	+	0.194988i
$142$	−11.4257	−	19.7899i	−0.958824	−	1.66073i
$143$		−	1.96586i		−	0.164393i
$144$	14.4453	−	25.0200i	1.20378	−	2.08500i
$145$	−13.4436			−1.11643
$146$	11.9570	+	17.6130i	0.989567	+	1.45767i
$147$	27.5768			2.27449
$148$	12.4496	−	21.5634i	1.02335	−	1.77250i
$149$			5.50009i			0.450585i	0.974291	+	0.225293i	$0.0723338\pi$
$149$			5.50009i			0.450585i	−0.974291	+	0.225293i	$0.927666\pi$
$150$	10.6053	+	18.3689i	0.865916	+	1.49981i
$151$	−15.1698	−	4.06472i	−1.23450	−	0.330782i	−0.418168	−	0.908370i	$-0.637328\pi$
$151$	−15.1698	−	4.06472i	−1.23450	−	0.330782i	−0.816329	+	0.577587i	$0.803994\pi$
$152$	−1.73511	−	1.00176i	−0.140736	−	0.0812539i
$153$	−0.0453268	+	0.0453268i	−0.00366445	+	0.00366445i
$154$	−8.78285			−0.707742
$155$	6.73121			0.540664
$156$	−19.5945	+	19.5945i	−1.56881	+	1.56881i
$157$	−5.61018	+	20.9375i	−0.447741	+	1.67099i	0.260856	+	0.965378i	$0.415995\pi$
$157$	−5.61018	+	20.9375i	−0.447741	+	1.67099i	−0.708597	+	0.705614i	$0.750671\pi$
$158$	17.1868	−	9.92279i	1.36731	−	0.789415i
$159$	−10.0519	+	2.69339i	−0.797166	+	0.213600i
$160$	−0.812962	−	3.03402i	−0.0642703	−	0.239860i
$161$	7.85085	−	29.2998i	0.618734	−	2.30915i
$162$	−5.51735	+	9.55634i	−0.433484	+	0.750817i
$163$	0.936049	−	0.936049i	0.0733170	−	0.0733170i	−0.669497	−	0.742814i	$-0.733490\pi$
$163$	0.936049	−	0.936049i	0.0733170	−	0.0733170i	0.742814	+	0.669497i	$0.233490\pi$
$164$	−8.24212	+	14.2758i	−0.643602	+	1.11475i
$165$	−3.14910	−	1.81813i	−0.245157	−	0.141541i
$166$	−6.12611	−	22.8629i	−0.475478	−	1.77451i
$167$	−3.23413	−	3.23413i	−0.250265	−	0.250265i	0.570814	−	0.821079i	$-0.306628\pi$
$167$	−3.23413	−	3.23413i	−0.250265	−	0.250265i	−0.821079	+	0.570814i	$0.806628\pi$
$168$	45.9353	+	45.9353i	3.54398	+	3.54398i
$169$	−6.81906	+	3.93699i	−0.524543	+	0.302845i
$170$			0.0421213i			0.00323055i
$171$	1.72187	+	0.994123i	0.131675	+	0.0760225i
$172$	−1.39191	+	5.19468i	−0.106132	+	0.396091i
$173$		−	15.3712i		−	1.16865i	−0.811520	−	0.584324i	$-0.801360\pi$
$173$		−	15.3712i		−	1.16865i	0.811520	−	0.584324i	$-0.198640\pi$
$174$	65.3576	+	17.5125i	4.95474	+	1.32762i
$175$	−11.4772	+	3.07531i	−0.867596	+	0.232472i
$176$	−3.24892	−	3.24892i	−0.244897	−	0.244897i
$177$	9.35963	−	2.50790i	0.703513	−	0.188506i
$178$	−4.84912	−	8.39893i	−0.363457	−	0.629526i
$179$	16.7646	+	4.49207i	1.25305	+	0.335753i	0.823513	−	0.567297i	$-0.192011\pi$
$179$	16.7646	+	4.49207i	1.25305	+	0.335753i	0.429535	+	0.903050i	$0.358677\pi$
$180$	8.56170	+	31.9527i	0.638152	+	2.38161i
$181$	0.0926543	−	0.0534940i	0.00688694	−	0.00397618i	−0.496553	−	0.868007i	$-0.665401\pi$
$181$	0.0926543	−	0.0534940i	0.00688694	−	0.00397618i	0.503440	+	0.864030i	$0.332068\pi$
$182$	−11.4508	−	19.8333i	−0.848786	−	1.47014i
$183$	14.4440	+	25.0177i	1.06773	+	1.84936i
$184$	35.5996	−	20.5534i	2.62444	−	1.51522i
$185$	2.20505	+	8.22934i	0.162118	+	0.605033i
$186$	−32.7245	−	8.76852i	−2.39948	−	0.642939i
$187$	0.00509727	+	0.00882873i	0.000372749	+	0.000645620i
$188$	−12.5018	+	3.34984i	−0.911786	+	0.244312i
$189$	−20.5366	−	20.5366i	−1.49382	−	1.49382i
$190$	1.26196	−	0.338141i	0.0915522	−	0.0245313i
$191$	10.4050	+	2.78801i	0.752879	+	0.201733i	0.614795	−	0.788687i	$-0.289239\pi$
$191$	10.4050	+	2.78801i	0.752879	+	0.201733i	0.138084	+	0.990421i	$0.455906\pi$
$192$		−	14.9729i		−	1.08058i
$193$	−5.41858	+	20.2224i	−0.390038	+	1.45564i	0.440031	+	0.897982i	$0.354967\pi$
$193$	−5.41858	+	20.2224i	−0.390038	+	1.45564i	−0.830070	+	0.557660i	$0.811699\pi$
$194$	−10.2608	−	5.92410i	−0.736685	−	0.425325i
$195$		−	9.48165i		−	0.678995i
$196$	−34.5526	+	19.9489i	−2.46804	+	1.42492i
$197$	−8.38947	−	8.38947i	−0.597725	−	0.597725i	0.341982	−	0.939707i	$-0.388902\pi$
$197$	−8.38947	−	8.38947i	−0.597725	−	0.597725i	−0.939707	+	0.341982i	$0.888902\pi$
$198$	8.35197	+	8.35197i	0.593549	+	0.593549i
$199$	4.67472	+	17.4463i	0.331382	+	1.23673i	0.907739	+	0.419536i	$0.137807\pi$
$199$	4.67472	+	17.4463i	0.331382	+	1.23673i	−0.576356	+	0.817198i	$0.695526\pi$
$200$	−13.9450	−	8.05113i	−0.986059	−	0.569301i
$201$	−3.81276	+	6.60390i	−0.268932	+	0.465803i
$202$	21.5109	−	21.5109i	1.51350	−	1.51350i
$203$	−18.9524	+	32.8265i	−1.33020	+	2.30397i
$204$	0.0371929	−	0.138806i	0.00260403	−	0.00971835i
$205$	−1.45982	−	5.44814i	−0.101959	−	0.380514i
$206$	0.180191	−	0.0482820i	0.0125545	−	0.00336396i
$207$	−35.3281	+	20.3967i	−2.45547	+	1.41767i
$208$	3.10084	−	11.5725i	0.215005	−	0.802408i
$209$	0.223590	−	0.223590i	0.0154661	−	0.0154661i
$210$	−42.3611			−2.92319
$211$	18.8596			1.29835			0.649173	−	0.760641i	$-0.275115\pi$
$211$	18.8596			1.29835			0.649173	+	0.760641i	$0.275115\pi$
$212$	10.6462	−	10.6462i	0.731184	−	0.731184i
$213$	−23.1016	−	13.3377i	−1.58289	−	0.913884i
$214$	3.72839	+	0.999019i	0.254867	+	0.0682915i
$215$	−0.920069	−	1.59361i	−0.0627482	−	0.108683i
$216$		−	39.3584i		−	2.67800i
$217$	9.48946	−	16.4362i	0.644186	−	1.11576i
$218$	36.7810			2.49113
$219$	22.3681	+	10.8269i	1.51150	+	0.731615i
$220$	5.26092			0.354691
$221$	−0.0132913	+	0.0230211i	−0.000894067	+	0.00154857i
$222$		−	42.8803i		−	2.87794i
$223$	−1.15418	−	1.99910i	−0.0772896	−	0.133870i	0.824790	−	0.565439i	$-0.191293\pi$
$223$	−1.15418	−	1.99910i	−0.0772896	−	0.133870i	−0.902080	+	0.431570i	$0.857960\pi$
$224$	−8.55453	−	2.29218i	−0.571574	−	0.153153i
$225$	13.8386	+	7.98972i	0.922573	+	0.532648i
$226$	24.5509	−	24.5509i	1.63310	−	1.63310i
$227$	−29.4822			−1.95680			−0.978400	−	0.206722i	$-0.933720\pi$
$227$	−29.4822			−1.95680			−0.978400	+	0.206722i	$0.933720\pi$
$228$	−4.45722			−0.295187
$229$	−10.5917	+	10.5917i	−0.699920	+	0.699920i	−0.964393	−	0.264473i	$-0.914802\pi$
$229$	−10.5917	+	10.5917i	−0.699920	+	0.699920i	0.264473	+	0.964393i	$0.414802\pi$
$230$	−6.93772	+	25.8919i	−0.457460	+	1.70726i
$231$	−8.87900	+	5.12629i	−0.584195	+	0.337285i
$232$	−49.6171	+	13.2949i	−3.25752	+	0.872851i
$233$	4.50495	+	16.8127i	0.295129	+	1.10144i	0.941115	+	0.338088i	$0.109780\pi$
$233$	4.50495	+	16.8127i	0.295129	+	1.10144i	−0.645985	+	0.763350i	$0.723553\pi$
$234$	−7.97129	+	29.7493i	−0.521100	+	1.94477i
$235$	2.21429	−	3.83525i	0.144444	−	0.250184i
$236$	−9.91302	+	9.91302i	−0.645283	+	0.645283i
$237$	11.5833	−	20.0628i	0.752415	−	1.30322i
$238$	0.102851	+	0.0593813i	0.00666686	+	0.00384912i
$239$	4.38070	+	16.3490i	0.283364	+	1.05753i	0.950027	+	0.312169i	$0.101056\pi$
$239$	4.38070	+	16.3490i	0.283364	+	1.05753i	−0.666663	+	0.745360i	$0.732278\pi$
$240$	−15.6701	−	15.6701i	−1.01150	−	1.01150i
$241$	−10.5886	−	10.5886i	−0.682073	−	0.682073i	0.278394	−	0.960467i	$-0.410198\pi$
$241$	−10.5886	−	10.5886i	−0.682073	−	0.682073i	−0.960467	+	0.278394i	$0.910198\pi$
$242$	−22.1089	+	12.7646i	−1.42121	+	0.820537i
$243$		−	8.58068i		−	0.550451i
$244$	−36.1955	−	20.8975i	−2.31718	−	1.33782i
$245$	3.53331	−	13.1865i	0.225735	−	0.842453i
$246$			28.3884i			1.80998i
$247$	0.796416	+	0.213399i	0.0506748	+	0.0135783i
$248$	24.8433	−	6.65674i	1.57755	−	0.422703i
$249$	−19.5376	−	19.5376i	−1.23815	−	1.23815i
$250$	27.4688	−	7.36023i	1.73728	−	0.465502i
$251$	−6.56368	−	11.3686i	−0.414296	−	0.717581i	0.581059	−	0.813862i	$-0.302639\pi$
$251$	−6.56368	−	11.3686i	−0.414296	−	0.717581i	−0.995354	+	0.0962806i	$0.969305\pi$
$252$	90.0919	+	24.1401i	5.67526	+	1.52068i
$253$	1.67912	+	6.26658i	0.105566	+	0.393976i
$254$	−42.4119	+	24.4865i	−2.66116	+	1.53642i
$255$	0.0245849	+	0.0425824i	0.00153957	+	0.00266661i
$256$	16.2668	+	28.1749i	1.01667	+	1.76093i
$257$	−2.96930	+	1.71433i	−0.185220	+	0.106937i	−0.589743	−	0.807591i	$-0.700771\pi$
$257$	−2.96930	+	1.71433i	−0.185220	+	0.106937i	0.404523	+	0.914528i	$0.367438\pi$
$258$	2.39708	+	8.94603i	0.149236	+	0.556956i
$259$	23.2029	+	6.21721i	1.44176	+	0.386319i
$260$	6.85899	+	11.8801i	0.425376	+	0.736774i
$261$	49.2386	−	13.1934i	3.04779	−	0.816654i
$262$	6.31145	+	6.31145i	0.389923	+	0.389923i
$263$	21.1217	−	5.65955i	1.30242	−	0.348983i	0.460057	−	0.887889i	$-0.347829\pi$
$263$	21.1217	−	5.65955i	1.30242	−	0.348983i	0.842366	+	0.538906i	$0.181162\pi$
$264$	−13.4206	−	3.59603i	−0.825979	−	0.221320i
$265$			5.15164i			0.316462i
$266$	0.953402	−	3.55814i	0.0584568	−	0.218164i
$267$	−9.80442	−	5.66058i	−0.600021	−	0.346422i
$268$		−	11.0326i		−	0.673921i
$269$	16.5161	−	9.53560i	1.00701	−	0.581396i	0.0966933	−	0.995314i	$-0.469173\pi$
$269$	16.5161	−	9.53560i	1.00701	−	0.581396i	0.910314	+	0.413918i	$0.135840\pi$
$270$	18.1480	+	18.1480i	1.10445	+	1.10445i
$271$	−8.64825	−	8.64825i	−0.525344	−	0.525344i	0.393837	−	0.919180i	$-0.371148\pi$
$271$	−8.64825	−	8.64825i	−0.525344	−	0.525344i	−0.919180	+	0.393837i	$0.871148\pi$
$272$	0.0160803	+	0.0600126i	0.000975013	+	0.00363880i
$273$	−23.1522	−	13.3669i	−1.40124	−	0.809004i
$274$	−20.5316	+	35.5618i	−1.24036	+	2.14837i
$275$	1.79698	−	1.79698i	0.108362	−	0.108362i
$276$	45.7250	−	79.1980i	2.75232	−	4.76716i
$277$	−5.34031	+	19.9303i	−0.320868	+	1.19750i	0.597533	+	0.801845i	$0.296148\pi$
$277$	−5.34031	+	19.9303i	−0.320868	+	1.19750i	−0.918401	+	0.395652i	$0.870519\pi$
$278$	2.94686	+	10.9978i	0.176741	+	0.659605i
$279$	−24.6538	+	6.60596i	−1.47598	+	0.395489i
$280$	27.8505	−	16.0795i	1.66439	−	0.960935i
$281$	2.53632	−	9.46567i	0.151304	−	0.564675i	−0.848089	−	0.529853i	$-0.822247\pi$
$281$	2.53632	−	9.46567i	0.151304	−	0.564675i	0.999394	−	0.0348215i	$-0.0110863\pi$
$282$	−15.7610	+	15.7610i	−0.938557	+	0.938557i
$283$	8.48052			0.504115			0.252057	−	0.967712i	$-0.418893\pi$
$283$	8.48052			0.504115			0.252057	+	0.967712i	$0.418893\pi$
$284$	38.5938			2.29012
$285$	1.07841	−	1.07841i	0.0638796	−	0.0638796i
$286$	4.24190	+	2.44906i	0.250829	+	0.144816i
$287$	−15.3612	−	4.11603i	−0.906745	−	0.242962i
$288$	5.95513	+	10.3146i	0.350909	+	0.607792i
$289$			16.9999i			0.999992i
$290$	16.7480	−	29.0084i	0.983478	−	1.70343i
$291$	−13.8309			−0.810781
$292$	−35.8585	+	2.61532i	−2.09846	+	0.153050i
$293$	1.84134			0.107572			0.0537860	−	0.998552i	$-0.482871\pi$
$293$	1.84134			0.107572			0.0537860	+	0.998552i	$0.482871\pi$
$294$	−34.3551	+	59.5048i	−2.00363	+	3.47039i
$295$		−	4.79685i		−	0.279284i
$296$	16.2766	+	28.1919i	0.946058	+	1.63862i
$297$	6.00003	+	1.60770i	0.348157	+	0.0932884i
$298$	−11.8680	−	6.85201i	−0.687497	−	0.396926i
$299$	−11.9619	+	11.9619i	−0.691775	+	0.691775i
$300$	−35.8225			−2.06821
$301$	−5.18834			−0.299051
$302$	27.6693	−	27.6693i	1.59219	−	1.59219i
$303$	9.19110	−	34.3017i	0.528015	−	1.97058i
$304$	1.66890	−	0.963538i	0.0957178	−	0.0552627i
$305$	13.8135	−	3.70131i	0.790957	−	0.211936i
$306$	−0.0413375	−	0.154274i	−0.00236311	−	0.00881924i
$307$	3.11327	−	11.6189i	0.177684	−	0.663125i	−0.818395	−	0.574656i	$-0.805136\pi$
$307$	3.11327	−	11.6189i	0.177684	−	0.663125i	0.996079	−	0.0884691i	$-0.0281975\pi$
$308$	7.41668	−	12.8461i	0.422605	−	0.731973i
$309$	0.153983	−	0.153983i	0.00875976	−	0.00875976i
$310$	−8.38574	+	14.5245i	−0.476278	+	0.824938i
$311$	−4.68087	−	2.70250i	−0.265428	−	0.153245i	0.361380	−	0.932419i	$-0.382306\pi$
$311$	−4.68087	−	2.70250i	−0.265428	−	0.153245i	−0.626808	+	0.779174i	$0.715639\pi$
$312$	−9.37675	−	34.9945i	−0.530854	−	1.98117i
$313$	3.65618	+	3.65618i	0.206660	+	0.206660i	0.802846	−	0.596186i	$-0.203318\pi$
$313$	3.65618	+	3.65618i	0.206660	+	0.206660i	−0.596186	+	0.802846i	$0.703318\pi$
$314$	−38.1894	−	38.1894i	−2.15515	−	2.15515i
$315$	−27.6381	+	15.9569i	−1.55723	+	0.899067i
$316$			33.5172i			1.88549i
$317$	5.04171	+	2.91083i	0.283171	+	0.163489i	0.634858	−	0.772629i	$-0.281059\pi$
$317$	5.04171	+	2.91083i	0.283171	+	0.163489i	−0.351687	+	0.936118i	$0.614392\pi$
$318$	6.71086	−	25.0453i	0.376326	−	1.40447i
$319$		−	8.10699i		−	0.453904i
$320$	−7.15965	−	1.91842i	−0.400237	−	0.107243i
$321$	4.35230	−	1.16620i	0.242922	−	0.0650907i
$322$	53.4421	+	53.4421i	2.97821	+	2.97821i
$323$	−0.00413005	+	0.00110664i	−0.000229802	+	6.15753e-5i
$324$	−9.31826	−	16.1397i	−0.517681	−	0.896650i
$325$	6.40076	+	1.71508i	0.355050	+	0.0951354i
$326$	0.853666	+	3.18592i	0.0472802	+	0.176452i
$327$	37.1837	−	21.4680i	2.05626	−	1.18718i
$328$	−10.7757	−	18.6641i	−0.594990	−	1.03055i
$329$	−6.24326	−	10.8136i	−0.344202	−	0.596176i
$330$	7.84628	−	4.53005i	0.431924	−	0.249371i
$331$	0.378678	+	1.41324i	0.0208140	+	0.0776789i	0.975552	−	0.219770i	$-0.0705308\pi$
$331$	0.378678	+	1.41324i	0.0208140	+	0.0776789i	−0.954738	+	0.297449i	$0.903864\pi$
$332$	38.6133	+	10.3464i	2.11918	+	0.567832i
$333$	−16.1524	−	27.9768i	−0.885148	−	1.53312i
$334$	11.0077	−	2.94949i	0.602312	−	0.161389i
$335$	2.66929	+	2.66929i	0.145839	+	0.145839i
$336$	−60.3543	+	16.1719i	−3.29260	+	0.882249i
$337$	−18.7966	−	5.03655i	−1.02392	−	0.274358i	−0.292484	−	0.956270i	$-0.594482\pi$
$337$	−18.7966	−	5.03655i	−1.02392	−	0.274358i	−0.731434	+	0.681912i	$0.761149\pi$
$338$		−	19.6188i		−	1.06712i
$339$	10.4900	−	39.1492i	0.569739	−	2.12629i
$340$	−0.0616079	−	0.0355693i	−0.00334116	−	0.00192902i
$341$			4.05917i			0.219816i
$342$	−4.29021	+	2.47696i	−0.231988	+	0.133938i
$343$	−7.12293	−	7.12293i	−0.384602	−	0.384602i
$344$	−4.97173	−	4.97173i	−0.268058	−	0.268058i
$345$	8.09869	+	30.2247i	0.436019	+	1.62724i
$346$	33.1677	+	19.1494i	1.78311	+	1.02948i
$347$	−5.53414	+	9.58540i	−0.297088	+	0.514571i	−0.975468	−	0.220139i	$-0.929349\pi$
$347$	−5.53414	+	9.58540i	−0.297088	+	0.514571i	0.678380	+	0.734711i	$0.262682\pi$
$348$	−80.8056	+	80.8056i	−4.33163	+	4.33163i
$349$	9.03542	−	15.6498i	0.483655	−	0.837715i	−0.516169	−	0.856487i	$-0.672642\pi$
$349$	9.03542	−	15.6498i	0.483655	−	0.837715i	0.999824	+	0.0187717i	$0.00597558\pi$
$350$	7.66244	−	28.5966i	0.409575	−	1.52855i
$351$	4.19213	+	15.6452i	0.223759	+	0.835081i
$352$	1.82963	−	0.490247i	0.0975194	−	0.0261302i
$353$	−5.89577	+	3.40392i	−0.313800	+	0.181173i	−0.648626	−	0.761107i	$-0.724656\pi$
$353$	−5.89577	+	3.40392i	−0.313800	+	0.181173i	0.334826	+	0.942280i	$0.391323\pi$
$354$	−6.24869	+	23.3204i	−0.332114	+	1.23947i
$355$	−9.33765	+	9.33765i	−0.495591	+	0.495591i
$356$	16.3794			0.868105
$357$	0.138636			0.00733742
$358$	−30.5783	+	30.5783i	−1.61611	+	1.61611i
$359$	9.95425	+	5.74709i	0.525365	+	0.303320i	0.739127	−	0.673566i	$-0.235238\pi$
$359$	9.95425	+	5.74709i	0.525365	+	0.303320i	−0.213762	+	0.976886i	$0.568572\pi$
$360$	−41.7749	−	11.1935i	−2.20173	−	0.589952i
$361$	−9.43369	−	16.3396i	−0.496510	−	0.859981i
$362$			0.266571i			0.0140107i
$363$	−14.9006	+	25.8086i	−0.782079	+	1.35460i
$364$	38.6784			2.02730
$365$	8.04308	−	9.30862i	0.420994	−	0.487235i
$366$	−71.9773			−3.76231
$367$	−18.3957	+	31.8622i	−0.960246	+	1.66319i	−0.238367	+	0.971175i	$0.576612\pi$
$367$	−18.3957	+	31.8622i	−0.960246	+	1.66319i	−0.721879	+	0.692020i	$0.756721\pi$
$368$			39.5383i			2.06108i
$369$	10.6935	+	18.5217i	0.556683	+	0.964203i
$370$	−20.5042	−	5.49409i	−1.06596	−	0.285624i
$371$	12.5792	+	7.26262i	0.653081	+	0.377056i
$372$	40.4594	−	40.4594i	2.09772	−	2.09772i
$373$	25.1169			1.30050			0.650252	−	0.759718i	$-0.274663\pi$
$373$	25.1169			1.30050			0.650252	+	0.759718i	$0.274663\pi$
$374$	−0.0254007			−0.00131344
$375$	23.4735	−	23.4735i	1.21217	−	1.21217i
$376$	4.37957	−	16.3448i	0.225859	−	0.842918i
$377$	18.3071	−	10.5696i	0.942862	−	0.544362i
$378$	69.8981	−	18.7291i	3.59517	−	0.963323i
$379$	−2.61804	−	9.77068i	−0.134480	−	0.501886i	−0.999999	−	0.00101082i	$-0.999678\pi$
$379$	−2.61804	−	9.77068i	−0.134480	−	0.501886i	0.865520	−	0.500875i	$-0.166988\pi$
$380$	−0.571087	+	2.13133i	−0.0292961	+	0.109335i
$381$	−28.5841	+	49.5092i	−1.46441	+	2.53643i
$382$	−18.9785	+	18.9785i	−0.971023	+	0.971023i
$383$	−4.72520	+	8.18429i	−0.241447	+	0.418198i	−0.961127	−	0.276108i	$-0.910955\pi$
$383$	−4.72520	+	8.18429i	−0.241447	+	0.418198i	0.719680	+	0.694306i	$0.244289\pi$
$384$	43.2983	+	24.9983i	2.20956	+	1.27569i
$385$	1.31362	+	4.90251i	0.0669485	+	0.249855i
$386$	−36.8852	−	36.8852i	−1.87741	−	1.87741i
$387$	4.93380	+	4.93380i	0.250799	+	0.250799i
$388$	17.3295	−	10.0052i	0.879774	−	0.507938i
$389$		−	18.5932i		−	0.942715i	−0.881942	−	0.471357i	$-0.843764\pi$
$389$		−	18.5932i		−	0.942715i	0.881942	−	0.471357i	$-0.156236\pi$
$390$	20.4594	+	11.8122i	1.03600	+	0.598136i
$391$	0.0227053	−	0.0847373i	0.00114826	−	0.00428535i
$392$		−	52.1624i		−	2.63460i
$393$	10.0644	+	2.69674i	0.507679	+	0.136032i
$394$	28.5543	−	7.65110i	1.43854	−	0.385457i
$395$	−8.10939	−	8.10939i	−0.408028	−	0.408028i
$396$	−19.2687	+	5.16303i	−0.968288	+	0.259452i
$397$	10.6777	+	18.4944i	0.535901	+	0.928207i	0.999119	+	0.0419632i	$0.0133612\pi$
$397$	10.6777	+	18.4944i	0.535901	+	0.928207i	−0.463218	+	0.886244i	$0.653305\pi$
$398$	−43.4692	−	11.6475i	−2.17891	−	0.583838i
$399$	−1.11295	−	4.15357i	−0.0557170	−	0.207939i
$400$	13.4128	−	7.74391i	0.670642	−	0.387196i
$401$	2.86450	+	4.96146i	0.143046	+	0.247763i	0.928642	−	0.370976i	$-0.120977\pi$
$401$	2.86450	+	4.96146i	0.143046	+	0.247763i	−0.785596	+	0.618740i	$0.787644\pi$
$402$	−9.49988	−	16.4543i	−0.473811	−	0.820664i
$403$	−9.16636	+	5.29220i	−0.456609	+	0.263623i
$404$	13.2976	+	49.6274i	0.661581	+	2.46906i
$405$	6.15948	+	1.65043i	0.306067	+	0.0820104i
$406$	−47.2217	−	81.7904i	−2.34357	−	4.05919i
$407$	−4.96260	+	1.32972i	−0.245987	+	0.0659120i
$408$	0.132848	+	0.132848i	0.00657698	+	0.00657698i
$409$	−30.5105	+	8.17525i	−1.50865	+	0.404240i	−0.915985	−	0.401212i	$-0.868589\pi$
$409$	−30.5105	+	8.17525i	−1.50865	+	0.404240i	−0.592660	+	0.805453i	$0.701922\pi$
$410$	13.5746	+	3.63730i	0.670400	+	0.179633i
$411$			47.9348i			2.36445i
$412$	−0.0815435	+	0.304324i	−0.00401736	+	0.0149930i
$413$	−11.7129	−	6.76246i	−0.576355	−	0.332759i
$414$		−	101.641i		−	4.99536i
$415$	−11.8456	+	6.83908i	−0.581480	+	0.335717i
$416$	3.49246	+	3.49246i	0.171232	+	0.171232i
$417$	9.39822	+	9.39822i	0.460233	+	0.460233i
$418$	0.203912	+	0.761009i	0.00997364	+	0.0372221i
$419$	−6.32093	−	3.64939i	−0.308797	−	0.178284i	0.337591	−	0.941293i	$-0.390388\pi$
$419$	−6.32093	−	3.64939i	−0.308797	−	0.178284i	−0.646388	+	0.763009i	$0.723721\pi$
$420$	35.7719	−	61.9587i	1.74549	−	3.02327i
$421$	−10.8590	+	10.8590i	−0.529234	+	0.529234i	−0.920344	−	0.391110i	$-0.872091\pi$
$421$	−10.8590	+	10.8590i	−0.529234	+	0.529234i	0.391110	+	0.920344i	$0.372091\pi$
$422$	−23.4952	+	40.6950i	−1.14373	+	1.98100i
$423$	−4.34617	+	16.2201i	−0.211318	+	0.788649i
$424$	5.09464	+	19.0135i	0.247418	+	0.923375i
$425$	−0.0331930	+	0.00889404i	−0.00161010	+	0.000431425i
$426$	57.5599	−	33.2322i	2.78878	−	1.61011i
$427$	10.4360	−	38.9476i	0.505032	−	1.88481i
$428$	−4.60964	+	4.60964i	−0.222815	+	0.222815i
$429$	5.71779			0.276057
$430$	4.58488			0.221103
$431$	−1.92739	+	1.92739i	−0.0928390	+	0.0928390i	−0.752001	−	0.659162i	$-0.770911\pi$
$431$	−1.92739	+	1.92739i	−0.0928390	+	0.0928390i	0.659162	+	0.752001i	$0.270911\pi$
$432$	32.7847	+	18.9283i	1.57736	+	0.910687i
$433$	34.8472	+	9.33729i	1.67465	+	0.448722i	0.966359	−	0.257197i	$-0.0827990\pi$
$433$	34.8472	+	9.33729i	1.67465	+	0.448722i	0.708293	+	0.705919i	$0.249466\pi$
$434$	23.6439	+	40.9525i	1.13494	+	1.96578i
$435$		−	39.1013i		−	1.87477i
$436$	−31.0598	+	53.7971i	−1.48749	+	2.57641i
$437$	−2.72102			−0.130164
$438$	−51.2283	+	34.7774i	−2.44778	+	1.66173i
$439$	−19.1949			−0.916124			−0.458062	−	0.888920i	$-0.651456\pi$
$439$	−19.1949			−0.916124			−0.458062	+	0.888920i	$0.651456\pi$
$440$	−3.43905	+	5.95661i	−0.163950	+	0.283970i
$441$			51.7645i			2.46497i
$442$	−0.0331165	−	0.0573594i	−0.00157519	−	0.00272831i
$443$	9.83181	+	2.63443i	0.467124	+	0.125165i	0.484701	−	0.874680i	$-0.338929\pi$
$443$	9.83181	+	2.63443i	0.467124	+	0.125165i	−0.0175770	+	0.999846i	$0.505595\pi$
$444$	62.7181	+	36.2103i	2.97647	+	1.71846i
$445$	−3.96294	+	3.96294i	−0.187861	+	0.187861i
$446$	5.75151			0.272342
$447$	−15.9973			−0.756645
$448$	−14.7778	+	14.7778i	−0.698188	+	0.698188i
$449$	6.26823	−	23.3933i	0.295816	−	1.10400i	−0.644751	−	0.764393i	$-0.723039\pi$
$449$	6.26823	−	23.3933i	0.295816	−	1.10400i	0.940567	−	0.339608i	$-0.110294\pi$
$450$	−34.4802	+	19.9072i	−1.62541	+	0.938433i
$451$	3.28543	−	0.880328i	0.154705	−	0.0414530i
$452$	15.1769	+	56.6408i	0.713860	+	2.66416i
$453$	11.8224	−	44.1219i	0.555466	−	2.07303i
$454$	36.7288	−	63.6162i	1.72377	−	2.98566i
$455$	−9.35812	+	9.35812i	−0.438715	+	0.438715i
$456$	2.91368	−	5.04664i	0.136446	−	0.236331i
$457$	0.558941	+	0.322705i	0.0261462	+	0.0150955i	0.513016	−	0.858379i	$-0.328528\pi$
$457$	0.558941	+	0.322705i	0.0261462	+	0.0150955i	−0.486870	+	0.873474i	$0.661861\pi$
$458$	−9.65952	−	36.0498i	−0.451360	−	1.68450i
$459$	−0.0593935	−	0.0593935i	−0.00277225	−	0.00277225i
$460$	−32.0118	−	32.0118i	−1.49256	−	1.49256i
$461$	−12.6510	+	7.30405i	−0.589215	+	0.340184i	−0.764787	−	0.644283i	$-0.777156\pi$
$461$	−12.6510	+	7.30405i	−0.589215	+	0.340184i	0.175572	+	0.984467i	$0.443823\pi$
$462$		−	25.5453i		−	1.18848i
$463$	3.82225	+	2.20678i	0.177635	+	0.102558i	0.586181	−	0.810180i	$-0.300631\pi$
$463$	3.82225	+	2.20678i	0.177635	+	0.102558i	−0.408546	+	0.912738i	$0.633964\pi$
$464$	12.7875	−	47.7238i	0.593647	−	2.21552i
$465$			19.5780i			0.907910i
$466$	−41.8905	−	11.2245i	−1.94054	−	0.519966i
$467$	6.33404	−	1.69720i	0.293104	−	0.0785371i	−0.109271	−	0.994012i	$-0.534851\pi$
$467$	6.33404	−	1.69720i	0.293104	−	0.0785371i	0.402375	+	0.915475i	$0.368185\pi$
$468$	−36.7809	−	36.7809i	−1.70020	−	1.70020i
$469$	10.2809	−	2.75477i	0.474730	−	0.127204i
$470$	5.51711	+	9.55591i	0.254485	+	0.440781i
$471$	−60.8976	−	16.3175i	−2.80601	−	0.751869i
$472$	−4.74378	−	17.7040i	−0.218350	−	0.814894i
$473$	0.961003	−	0.554836i	0.0441870	−	0.0255114i
$474$	28.8609	+	49.9885i	1.32562	+	2.29605i
$475$	0.532934	+	0.923069i	0.0244527	+	0.0423533i
$476$	−0.173706	+	0.100289i	−0.00796179	+	0.00459674i
$477$	−5.05578	−	18.8684i	−0.231488	−	0.863926i
$478$	−40.7351	−	10.9149i	−1.86318	−	0.499238i
$479$	20.7144	+	35.8784i	0.946466	+	1.63933i	0.752790	+	0.658261i	$0.228708\pi$
$479$	20.7144	+	35.8784i	0.946466	+	1.63933i	0.193676	+	0.981066i	$0.437959\pi$
$480$	8.82458	−	2.36454i	0.402785	−	0.107926i
$481$	−9.47281	−	9.47281i	−0.431923	−	0.431923i
$482$	36.0393	−	9.65670i	1.64154	−	0.439850i
$483$	85.2198	+	22.8346i	3.87763	+	1.03901i
$484$		−	43.1162i		−	1.95983i
$485$	−1.77210	+	6.61356i	−0.0804669	+	0.300306i
$486$	18.5153	+	10.6898i	0.839870	+	0.484899i
$487$		−	0.274644i		−	0.0124453i	−0.999981	−	0.00622266i	$-0.998019\pi$
$487$		−	0.274644i		−	0.0124453i	0.999981	−	0.00622266i	$-0.00198075\pi$
$488$	47.3218	−	27.3213i	2.14216	−	1.23678i
$489$	2.72254	+	2.72254i	0.123118	+	0.123118i
$490$	24.0518	+	24.0518i	1.08655	+	1.08655i
$491$	3.46142	+	12.9182i	0.156212	+	0.582990i	0.998999	+	0.0447425i	$0.0142467\pi$
$491$	3.46142	+	12.9182i	0.156212	+	0.582990i	−0.842787	+	0.538247i	$0.819087\pi$
$492$	−41.5217	−	23.9726i	−1.87195	−	1.08077i
$493$	−0.0548118	+	0.0949367i	−0.00246860	+	0.00427574i
$494$	−1.45264	+	1.45264i	−0.0653576	+	0.0653576i
$495$	3.41282	−	5.91118i	0.153395	−	0.265688i
$496$	−6.40273	+	23.8953i	−0.287491	+	1.07293i
$497$	9.63667	+	35.9645i	0.432264	+	1.61323i
$498$	66.4979	−	17.8181i	2.97984	−	0.798447i
$499$	17.6846	−	10.2102i	0.791673	−	0.457073i	−0.0488780	−	0.998805i	$-0.515565\pi$
$499$	17.6846	−	10.2102i	0.791673	−	0.457073i	0.840551	+	0.541732i	$0.182231\pi$
$500$	−12.4307	+	46.3920i	−0.555918	+	2.07471i
$501$	9.40663	−	9.40663i	0.420257	−	0.420257i
$502$	32.7081			1.45983
$503$	9.59190			0.427682			0.213841	−	0.976869i	$-0.431403\pi$
$503$	9.59190			0.427682			0.213841	+	0.976869i	$0.431403\pi$
$504$	−86.2253	+	86.2253i	−3.84078	+	3.84078i
$505$	−15.2245	−	8.78988i	−0.677482	−	0.391145i
$506$	−15.6138	−	4.18370i	−0.694118	−	0.185988i
$507$	−11.4509	−	19.8336i	−0.508553	−	0.880839i
$508$		−	82.7106i		−	3.66969i
$509$	0.439934	−	0.761988i	0.0194997	−	0.0337745i	−0.856111	−	0.516792i	$-0.827126\pi$
$509$	0.439934	−	0.761988i	0.0194997	−	0.0337745i	0.875611	+	0.483018i	$0.160459\pi$
$510$	−0.122512			−0.00542491
$511$	−11.3908	−	32.7625i	−0.503900	−	1.44933i
$512$	−46.6816			−2.06305
$513$	−1.30264	+	2.25624i	−0.0575129	+	0.0996153i
$514$		−	8.54283i		−	0.376808i
$515$	−0.0539012	−	0.0933596i	−0.00237517	−	0.00411391i
$516$	−15.1090	−	4.04844i	−0.665135	−	0.178222i
$517$	2.31280	+	1.33530i	0.101717	+	0.0587263i
$518$	−42.3216	+	42.3216i	−1.85951	+	1.85951i
$519$	44.7078			1.96245
$520$	−17.9348			−0.786495
$521$	16.0707	−	16.0707i	0.704071	−	0.704071i	−0.261210	−	0.965282i	$-0.584122\pi$
$521$	16.0707	−	16.0707i	0.704071	−	0.704071i	0.965282	+	0.261210i	$0.0841217\pi$
$522$	−32.8728	+	122.683i	−1.43880	+	5.36968i
$523$	29.4387	−	16.9964i	1.28726	−	0.743202i	0.309099	−	0.951030i	$-0.399973\pi$
$523$	29.4387	−	16.9964i	1.28726	−	0.743202i	0.978166	+	0.207827i	$0.0666392\pi$
$524$	−14.5610	+	3.90162i	−0.636102	+	0.170443i
$525$	−8.94469	−	33.3820i	−0.390378	−	1.45691i
$526$	−14.1013	+	52.6269i	−0.614848	+	2.29464i
$527$	0.0274443	−	0.0475348i	0.00119549	−	0.00207065i
$528$	9.44965	−	9.44965i	0.411243	−	0.411243i
$529$	16.4139	−	28.4297i	0.713647	−	1.23607i
$530$	−11.1161	−	6.41790i	−0.482854	−	0.278776i
$531$	4.70760	+	17.5690i	0.204292	+	0.762429i
$532$	4.39915	+	4.39915i	0.190727	+	0.190727i
$533$	6.27136	+	6.27136i	0.271643	+	0.271643i
$534$	24.4287	−	14.1039i	1.05713	−	0.610335i
$535$		−	2.23057i		−	0.0964362i
$536$	12.4915	+	7.21196i	0.539550	+	0.311509i
$537$	−13.0654	+	48.7607i	−0.563814	+	2.10418i
$538$			47.5178i			2.04864i
$539$	7.95194	+	2.13072i	0.342514	+	0.0917764i
$540$	−41.8689	+	11.2187i	−1.80175	+	0.482778i
$541$	6.13158	+	6.13158i	0.263617	+	0.263617i	0.826522	−	0.562905i	$-0.190316\pi$
$541$	6.13158	+	6.13158i	0.263617	+	0.263617i	−0.562905	+	0.826522i	$0.690316\pi$
$542$	29.4351	−	7.88710i	1.26434	−	0.338780i
$543$	0.155590	+	0.269489i	0.00667699	+	0.0115649i
$544$	−0.0247404	−	0.00662916i	−0.00106073	−	0.000284223i
$545$	−5.50123	−	20.5309i	−0.235647	−	0.879446i
$546$	57.6860	−	33.3050i	2.46873	−	1.42532i
$547$	−9.75507	−	16.8963i	−0.417097	−	0.722432i	0.578549	−	0.815647i	$-0.303619\pi$
$547$	−9.75507	−	16.8963i	−0.417097	−	0.722432i	−0.995646	+	0.0932149i	$0.970286\pi$
$548$	−34.6758	−	60.0603i	−1.48128	−	2.56565i
$549$	−46.9609	+	27.1129i	−2.00424	+	1.15715i
$550$	1.63883	+	6.11619i	0.0698799	+	0.260795i
$551$	3.28434	+	0.880036i	0.139917	+	0.0374908i
$552$	59.7807	+	103.543i	2.54443	+	4.40709i
$553$	−31.2338	+	8.36908i	−1.32820	+	0.355889i
$554$	−36.3524	−	36.3524i	−1.54447	−	1.54447i
$555$	−23.9354	+	6.41348i	−1.01600	+	0.272237i
$556$	−18.5742	−	4.97695i	−0.787722	−	0.211070i
$557$		−	12.9348i		−	0.548065i	−0.961720	−	0.274032i	$-0.911642\pi$
$557$		−	12.9348i		−	0.548065i	0.961720	−	0.274032i	$-0.0883575\pi$
$558$	16.4594	−	61.4274i	0.696782	−	2.60043i
$559$	2.50584	+	1.44675i	0.105986	+	0.0611909i
$560$			30.9319i			1.30711i
$561$	−0.0256788	+	0.0148256i	−0.00108416	+	0.000625939i
$562$	17.2652	+	17.2652i	0.728287	+	0.728287i
$563$	−20.0341	−	20.0341i	−0.844337	−	0.844337i	0.145082	−	0.989420i	$-0.453655\pi$
$563$	−20.0341	−	20.0341i	−0.844337	−	0.844337i	−0.989420	+	0.145082i	$0.953655\pi$
$564$	−9.74318	−	36.3620i	−0.410262	−	1.53112i
$565$	−17.3761	−	10.0321i	−0.731017	−	0.422053i
$566$	−10.5650	+	18.2992i	−0.444081	+	0.769172i
$567$	12.7134	−	12.7134i	0.533915	−	0.533915i
$568$	−25.2287	+	43.6974i	−1.05857	+	1.83350i
$569$	3.82367	−	14.2701i	0.160296	−	0.598234i	−0.838297	−	0.545214i	$-0.816448\pi$
$569$	3.82367	−	14.2701i	0.160296	−	0.598234i	0.998593	−	0.0530205i	$-0.0168849\pi$
$570$	0.983499	+	3.67047i	0.0411942	+	0.153739i
$571$	4.10166	−	1.09904i	0.171649	−	0.0459932i	−0.171971	−	0.985102i	$-0.555013\pi$
$571$	4.10166	−	1.09904i	0.171649	−	0.0459932i	0.343620	+	0.939109i	$0.388347\pi$
$572$	−7.16415	+	4.13623i	−0.299548	+	0.172944i
$573$	−8.10905	+	30.2634i	−0.338761	+	1.26427i
$574$	28.0185	−	28.0185i	1.16947	−	1.16947i
$575$	−21.8687			−0.911987
$576$	28.1057			1.17107
$577$	4.98908	−	4.98908i	0.207698	−	0.207698i	−0.595590	−	0.803288i	$-0.703082\pi$
$577$	4.98908	−	4.98908i	0.207698	−	0.207698i	0.803288	+	0.595590i	$0.203082\pi$
$578$	−36.6821	−	21.1784i	−1.52577	−	0.880906i
$579$	−58.8179	−	15.7602i	−2.44439	−	0.654972i
$580$	28.2858	+	48.9924i	1.17450	+	2.03430i
$581$			38.5661i			1.59999i
$582$	17.2305	−	29.8441i	0.714228	−	1.23708i
$583$	−3.10663			−0.128663
$584$	20.4795	−	42.3100i	0.847446	−	1.75080i
$585$	17.7980			0.735858
$586$	−2.29394	+	3.97321i	−0.0947616	+	0.164132i
$587$		−	10.2038i		−	0.421156i	−0.977577	−	0.210578i	$-0.932465\pi$
$587$		−	10.2038i		−	0.421156i	0.977577	−	0.210578i	$-0.0675346\pi$
$588$	−58.0224	−	100.498i	−2.39280	−	4.14446i
$589$	−1.64447	−	0.440634i	−0.0677592	−	0.0181560i
$590$	10.3506	+	5.97592i	0.426127	+	0.246025i
$591$	24.4012	−	24.4012i	1.00373	−	1.00373i
$592$	−31.3110			−1.28687
$593$	−16.4534			−0.675659			−0.337830	−	0.941207i	$-0.609693\pi$
$593$	−16.4534			−0.675659			−0.337830	+	0.941207i	$0.609693\pi$
$594$	−10.9439	+	10.9439i	−0.449034	+	0.449034i
$595$	0.0177629	−	0.0662922i	0.000728210	−	0.00271772i
$596$	20.0439	−	11.5724i	0.821032	−	0.474023i
$597$	−50.7434	+	13.5966i	−2.07679	+	0.556473i
$598$	−10.9091	−	40.7134i	−0.446107	−	1.66489i
$599$	−2.37012	+	8.84542i	−0.0968406	+	0.361414i	−0.997292	−	0.0735423i	$-0.976570\pi$
$599$	−2.37012	+	8.84542i	−0.0968406	+	0.361414i	0.900451	+	0.434957i	$0.143236\pi$
$600$	23.4171	−	40.5596i	0.955999	−	1.65584i
$601$	20.1163	−	20.1163i	0.820562	−	0.820562i	−0.165627	−	0.986189i	$-0.552965\pi$
$601$	20.1163	−	20.1163i	0.820562	−	0.820562i	0.986189	+	0.165627i	$0.0529647\pi$
$602$	6.46363	−	11.1953i	0.263438	−	0.456288i
$603$	−12.3962	−	7.15695i	−0.504812	−	0.291454i
$604$	17.1046	+	63.8353i	0.695977	+	2.59742i
$605$	10.4318	+	10.4318i	0.424114	+	0.424114i
$606$	62.5654	+	62.5654i	2.54155	+	2.54155i
$607$	37.7392	−	21.7887i	1.53179	−	0.884378i	0.532507	−	0.846425i	$-0.321250\pi$
$607$	37.7392	−	21.7887i	1.53179	−	0.884378i	0.999280	−	0.0379523i	$-0.0120835\pi$
$608$			0.794443i			0.0322189i
$609$	−95.4773	−	55.1239i	−3.86894	−	2.23373i
$610$	−9.22217	+	34.4176i	−0.373395	+	1.39353i
$611$			6.96364i			0.281719i
$612$	0.260553	+	0.0698149i	0.0105322	+	0.00282210i
$613$	12.3260	−	3.30275i	0.497844	−	0.133397i	−0.00115535	−	0.999999i	$-0.500368\pi$
$613$	12.3260	−	3.30275i	0.497844	−	0.133397i	0.498999	+	0.866602i	$0.333701\pi$
$614$	21.1926	+	21.1926i	0.855263	+	0.855263i
$615$	15.8462	−	4.24597i	0.638979	−	0.171214i
$616$	9.69654	+	16.7949i	0.390685	+	0.676686i
$617$	16.1177	+	4.31874i	0.648876	+	0.173866i	0.568221	−	0.822876i	$-0.307632\pi$
$617$	16.1177	+	4.31874i	0.648876	+	0.173866i	0.0806553	+	0.996742i	$0.474299\pi$
$618$	0.140430	+	0.524093i	0.00564894	+	0.0210821i
$619$	28.9589	−	16.7194i	1.16396	−	0.672010i	0.211707	−	0.977333i	$-0.432098\pi$
$619$	28.9589	−	16.7194i	1.16396	−	0.672010i	0.952249	+	0.305323i	$0.0987645\pi$
$620$	−14.1627	−	24.5305i	−0.568787	−	0.985168i
$621$	−26.7266	−	46.2917i	−1.07250	−	1.85762i
$622$	11.6628	−	6.73355i	0.467637	−	0.269991i
$623$	4.08985	+	15.2635i	0.163856	+	0.611520i
$624$	33.6591	+	9.01894i	1.34744	+	0.361047i
$625$	−0.899762	−	1.55843i	−0.0359905	−	0.0623374i
$626$	−12.4441	+	3.33439i	−0.497367	+	0.133269i
$627$	0.650322	+	0.650322i	0.0259714	+	0.0259714i
$628$	88.1062	−	23.6080i	3.51582	−	0.942061i
$629$	0.0671047	+	0.0179807i	0.00267564	+	0.000716936i
$630$		−	79.5162i		−	3.16800i
$631$	−7.41229	+	27.6630i	−0.295078	+	1.10125i	0.646077	+	0.763273i	$0.276409\pi$
$631$	−7.41229	+	27.6630i	−0.295078	+	1.10125i	−0.941155	+	0.337975i	$0.890258\pi$
$632$	−37.9495	−	21.9102i	−1.50955	−	0.871539i
$633$			54.8539i			2.18025i
$634$	−12.5619	+	7.25263i	−0.498898	+	0.288039i
$635$	20.0116	+	20.0116i	0.794136	+	0.794136i
$636$	30.9650	+	30.9650i	1.22784	+	1.22784i
$637$	5.55589	+	20.7349i	0.220133	+	0.821546i
$638$	17.4932	+	10.0997i	0.692561	+	0.399850i
$639$	25.0362	−	43.3641i	0.990419	−	1.71546i
$640$	17.5011	−	17.5011i	0.691793	−	0.691793i
$641$	9.62150	−	16.6649i	0.380027	−	0.658225i	−0.611039	−	0.791600i	$-0.709248\pi$
$641$	9.62150	−	16.6649i	0.380027	−	0.658225i	0.991066	+	0.133375i	$0.0425815\pi$
$642$	−2.90569	+	10.8442i	−0.114679	+	0.427986i
$643$	−5.82610	−	21.7433i	−0.229759	−	0.857473i	−0.980442	−	0.196810i	$-0.936942\pi$
$643$	−5.82610	−	21.7433i	−0.229759	−	0.857473i	0.750683	−	0.660663i	$-0.229725\pi$
$644$	−123.295	+	33.0369i	−4.85852	+	1.30184i
$645$	4.63508	−	2.67606i	0.182506	−	0.105370i
$646$	0.00275731	−	0.0102904i	0.000108485	−	0.000404872i
$647$	29.8540	−	29.8540i	1.17368	−	1.17368i	0.192355	−	0.981325i	$-0.438387\pi$
$647$	29.8540	−	29.8540i	1.17368	−	1.17368i	0.981325	−	0.192355i	$-0.0616126\pi$
$648$	24.3653			0.957161
$649$	2.89268			0.113548
$650$	−11.6748	+	11.6748i	−0.457925	+	0.457925i
$651$	47.8055	+	27.6005i	1.87365	+	1.08175i
$652$	−5.38071	−	1.44176i	−0.210725	−	0.0564636i
$653$	14.1299	+	24.4737i	0.552946	+	0.957730i	0.998060	+	0.0622563i	$0.0198296\pi$
$653$	14.1299	+	24.4737i	0.552946	+	0.957730i	−0.445115	+	0.895474i	$0.646837\pi$
$654$			106.979i			4.18322i
$655$	2.57901	−	4.46698i	0.100770	−	0.174539i
$656$	20.7291			0.809334
$657$	−20.3232	+	41.9872i	−0.792885	+	1.63808i
$658$	31.1114			1.21285
$659$	−19.5389	+	33.8423i	−0.761127	+	1.31831i	0.181143	+	0.983457i	$0.442020\pi$
$659$	−19.5389	+	33.8423i	−0.761127	+	1.31831i	−0.942270	+	0.334854i	$0.891313\pi$
$660$			15.3016i			0.595615i
$661$	9.07984	+	15.7268i	0.353165	+	0.611700i	0.986802	−	0.161931i	$-0.0517721\pi$
$661$	9.07984	+	15.7268i	0.353165	+	0.611700i	−0.633637	+	0.773630i	$0.718439\pi$
$662$	−3.52124	−	0.943512i	−0.136857	−	0.0366707i
$663$	−0.0669580	−	0.0386582i	−0.00260043	−	0.00150136i
$664$	−36.9560	+	36.9560i	−1.43417	+	1.43417i
$665$	−2.12872			−0.0825484
$666$	80.4908			3.11895
$667$	−49.3296	+	49.3296i	−1.91005	+	1.91005i
$668$	−4.98140	+	18.5908i	−0.192736	+	0.719301i
$669$	5.81447	−	3.35699i	0.224800	−	0.129789i
$670$	−9.08517	+	2.43436i	−0.350991	+	0.0940477i
$671$	2.23203	+	8.33004i	0.0861664	+	0.321577i
$672$	6.66691	−	24.8812i	0.257182	−	0.959815i
$673$	−3.47711	+	6.02253i	−0.134033	+	0.232151i	−0.925228	−	0.379413i	$-0.876126\pi$
$673$	−3.47711	+	6.02253i	−0.134033	+	0.232151i	0.791195	+	0.611564i	$0.209459\pi$
$674$	34.2846	−	34.2846i	1.32060	−	1.32060i
$675$	−10.4692	+	18.1333i	−0.402961	+	0.697950i
$676$	28.6951	+	16.5671i	1.10366	+	0.637196i
$677$	2.47051	+	9.22006i	0.0949493	+	0.354356i	0.997012	−	0.0772499i	$-0.0246139\pi$
$677$	2.47051	+	9.22006i	0.0949493	+	0.354356i	−0.902062	+	0.431605i	$0.857947\pi$
$678$	71.4073	+	71.4073i	2.74238	+	2.74238i
$679$	13.6507	+	13.6507i	0.523866	+	0.523866i
$680$	0.0805459	−	0.0465032i	0.00308880	−	0.00178332i
$681$		−	85.7502i		−	3.28596i
$682$	−8.75883	−	5.05691i	−0.335393	−	0.193639i
$683$	4.77536	−	17.8219i	0.182724	−	0.681936i	−0.812382	−	0.583125i	$-0.801830\pi$
$683$	4.77536	−	17.8219i	0.182724	−	0.681936i	0.995106	−	0.0988104i	$-0.0315037\pi$
$684$		−	8.36667i		−	0.319908i
$685$	22.9211	+	6.14170i	0.875772	+	0.234662i
$686$	24.2435	−	6.49603i	0.925621	−	0.248019i
$687$	−30.8065	−	30.8065i	−1.17534	−	1.17534i
$688$	6.53235	−	1.75034i	0.249043	−	0.0667310i
$689$	−4.05031	−	7.01534i	−0.154304	−	0.267263i
$690$	−75.3079	−	20.1787i	−2.86692	−	0.768189i
$691$	−1.05296	−	3.92971i	−0.0400566	−	0.149493i	0.943001	−	0.332789i	$-0.107990\pi$
$691$	−1.05296	−	3.92971i	−0.0400566	−	0.149493i	−0.983058	+	0.183296i	$0.941323\pi$
$692$	−56.0170	+	32.3414i	−2.12945	+	1.22944i
$693$	−9.62258	−	16.6668i	−0.365532	−	0.633119i
$694$	−13.7888	−	23.8830i	−0.523417	−	0.906586i
$695$	5.69813	−	3.28982i	0.216143	−	0.124790i
$696$	−38.6687	−	144.314i	−1.46573	−	5.47019i
$697$	−0.0444259	−	0.0119039i	−0.00168275	−	0.000450892i
$698$	22.5126	+	38.9930i	0.852116	+	1.47591i
$699$	−48.9005	+	13.1029i	−1.84959	+	0.495596i
$700$	35.3558	+	35.3558i	1.33632	+	1.33632i
$701$	−19.1721	+	5.13716i	−0.724121	+	0.194028i	−0.602010	−	0.798489i	$-0.705633\pi$
$701$	−19.1721	+	5.13716i	−0.724121	+	0.194028i	−0.122111	+	0.992516i	$0.538967\pi$
$702$	−38.9816	−	10.4451i	−1.47127	−	0.394225i
$703$		−	2.15481i		−	0.0812704i
$704$	1.15688	−	4.31754i	0.0436016	−	0.162723i
$705$	11.1550	+	6.44035i	0.420122	+	0.242558i
$706$		−	16.9624i		−	0.638389i
$707$	−42.9261	+	24.7834i	−1.61440	+	0.932076i
$708$	−28.8325	−	28.8325i	−1.08359	−	1.08359i
$709$	7.08260	+	7.08260i	0.265993	+	0.265993i	0.827483	−	0.561490i	$-0.189772\pi$
$709$	7.08260	+	7.08260i	0.265993	+	0.265993i	−0.561490	+	0.827483i	$0.689772\pi$
$710$	−8.51583	−	31.7815i	−0.319593	−	1.19274i
$711$	37.6600	+	21.7430i	1.41236	+	0.815427i
$712$	−10.7072	+	18.5454i	−0.401268	+	0.695017i
$713$	24.6994	−	24.6994i	0.924999	−	0.924999i
$714$	−0.172713	+	0.299148i	−0.00646363	+	0.0111953i
$715$	0.732598	−	2.73409i	0.0273976	−	0.102249i
$716$	−18.9029	−	70.5467i	−0.706436	−	2.63645i
$717$	−47.5518	+	12.7415i	−1.77585	+	0.475839i
$718$	−24.8020	+	14.3194i	−0.925602	+	0.534397i
$719$	13.7182	−	51.1971i	0.511603	−	1.90933i	0.108735	−	0.994071i	$-0.465320\pi$
$719$	13.7182	−	51.1971i	0.511603	−	1.90933i	0.402868	−	0.915258i	$-0.368013\pi$
$720$	29.4144	−	29.4144i	1.09621	−	1.09621i
$721$	−0.303953			−0.0113198
$722$	47.0099			1.74953
$723$	30.7975	−	30.7975i	1.14537	−	1.14537i
$724$	−0.389895	−	0.225106i	−0.0144903	−	0.00836600i
$725$	26.3961	+	7.07280i	0.980325	+	0.262677i
$726$	−37.1263	−	64.3047i	−1.37789	−	2.38657i
$727$		−	23.0940i		−	0.856511i	−0.903658	−	0.428255i	$-0.859128\pi$
$727$		−	23.0940i		−	0.856511i	0.903658	−	0.428255i	$-0.140872\pi$
$728$	−25.2840	+	43.7932i	−0.937087	+	1.62308i
$729$	38.2436			1.41643
$730$	10.0660	+	28.9519i	0.372558	+	1.07156i
$731$	−0.0150051			−0.000554983
$732$	60.7813	−	105.276i	2.24654	−	3.89112i
$733$			33.8976i			1.25204i	0.779809	+	0.626018i	$0.215316\pi$
$733$			33.8976i			1.25204i	−0.779809	+	0.626018i	$0.784684\pi$
$734$	−45.8346	−	79.3879i	−1.69179	−	2.93026i
$735$	38.3535	+	10.2768i	1.41469	+	0.379065i
$736$	−14.1160	−	8.14989i	−0.520324	−	0.300409i
$737$	−1.60968	+	1.60968i	−0.0592935	+	0.0592935i
$738$	−53.2879			−1.96156
$739$	−38.9259			−1.43191			−0.715956	−	0.698146i	$-0.754009\pi$
$739$	−38.9259			−1.43191			−0.715956	+	0.698146i	$0.754009\pi$
$740$	25.3506	−	25.3506i	0.931907	−	0.931907i
$741$	−0.620681	+	2.31641i	−0.0228013	+	0.0850956i
$742$	−31.3424	+	18.0955i	−1.15061	+	0.664308i
$743$	6.57850	−	1.76270i	0.241342	−	0.0646673i	−0.136121	−	0.990692i	$-0.543463\pi$
$743$	6.57850	−	1.76270i	0.241342	−	0.0646673i	0.377462	+	0.926025i	$0.376797\pi$
$744$	19.3614	+	72.2579i	0.709825	+	2.64910i
$745$	−2.04967	+	7.64947i	−0.0750941	+	0.280255i
$746$	−31.2906	+	54.1970i	−1.14563	+	1.98429i
$747$	36.6741	−	36.6741i	1.34184	−	1.34184i
$748$	0.0214496	−	0.0371518i	0.000784276	−	0.00135841i
$749$	−5.44660	−	3.14460i	−0.199014	−	0.114901i
$750$	21.4076	+	79.8941i	0.781694	+	2.91732i
$751$	−26.6425	−	26.6425i	−0.972199	−	0.972199i	0.0274252	−	0.999624i	$-0.491269\pi$
$751$	−26.6425	−	26.6425i	−0.972199	−	0.972199i	−0.999624	+	0.0274252i	$0.991269\pi$
$752$	11.5086	+	11.5086i	0.419677	+	0.419677i
$753$	33.0662	−	19.0908i	1.20500	−	0.695706i
$754$			52.6704i			1.91814i
$755$	−19.5832	−	11.3063i	−0.712704	−	0.411480i
$756$	−31.6317	+	118.051i	−1.15043	+	4.29347i
$757$			33.9997i			1.23574i	0.786280	+	0.617870i	$0.212004\pi$
$757$			33.9997i			1.23574i	−0.786280	+	0.617870i	$0.787996\pi$
$758$	24.3446	+	6.52312i	0.884236	+	0.236930i
$759$	−18.2266	+	4.88381i	−0.661585	+	0.177271i
$760$	−2.03985	−	2.03985i	−0.0739931	−	0.0739931i
$761$	−41.6464	+	11.1591i	−1.50968	+	0.404518i	−0.916329	−	0.400425i	$-0.868862\pi$
$761$	−41.6464	+	11.1591i	−1.50968	+	0.404518i	−0.593352	+	0.804943i	$0.702196\pi$
$762$	−71.2202	−	123.357i	−2.58004	−	4.46875i
$763$	−57.8876	−	15.5109i	−2.09567	−	0.561533i
$764$	−11.7321	−	43.7849i	−0.424453	−	1.58408i
$765$	−0.0799315	+	0.0461485i	−0.00288993	+	0.00166850i
$766$	−11.7733	−	20.3920i	−0.425387	−	0.736792i
$767$	3.77137	+	6.53220i	0.136176	+	0.235864i
$768$	−81.9481	+	47.3127i	−2.95705	+	1.70725i
$769$	−9.75237	−	36.3963i	−0.351679	−	1.31249i	−0.884612	−	0.466328i	$-0.845577\pi$
$769$	−9.75237	−	36.3963i	−0.351679	−	1.31249i	0.532933	−	0.846158i	$-0.321090\pi$
$770$	−12.2151	−	3.27302i	−0.440201	−	0.117952i
$771$	−4.98620	−	8.63636i	−0.179574	−	0.311031i
$772$	85.0973	−	22.8017i	3.06272	−	0.820653i
$773$	30.4763	+	30.4763i	1.09616	+	1.09616i	0.994856	+	0.101301i	$0.0323005\pi$
$773$	30.4763	+	30.4763i	1.09616	+	1.09616i	0.101301	+	0.994856i	$0.467699\pi$
$774$	−16.7926	+	4.49957i	−0.603599	+	0.161734i
$775$	−13.2165	−	3.54135i	−0.474751	−	0.127209i
$776$			26.1616i			0.939146i
$777$	−18.0830	+	67.4869i	−0.648726	+	2.42108i
$778$	40.1203	+	23.1634i	1.43838	+	0.830450i
$779$			1.42657i			0.0511121i
$780$	−34.5539	+	19.9497i	−1.23723	+	0.714313i
$781$	−5.63095	−	5.63095i	−0.201491	−	0.201491i
$782$	0.154559	+	0.154559i	0.00552701	+	0.00552701i
$783$	17.2879	+	64.5193i	0.617819	+	2.30573i
$784$	43.4501	+	25.0859i	1.55179	+	0.895927i
$785$	−15.6051	+	27.0289i	−0.556971	+	0.964703i
$786$	−18.3571	+	18.3571i	−0.654778	+	0.654778i
$787$	10.1775	−	17.6280i	0.362789	−	0.628369i	−0.625630	−	0.780120i	$-0.715158\pi$
$787$	10.1775	−	17.6280i	0.362789	−	0.628369i	0.988419	+	0.151751i	$0.0484912\pi$
$788$	−12.9219	+	48.2254i	−0.460325	+	1.71796i
$789$	16.4611	+	61.4336i	0.586030	+	2.18709i
$790$	27.6010	−	7.39567i	0.982000	−	0.263126i
$791$	−48.9925	+	28.2858i	−1.74197	+	1.00573i
$792$	6.75012	−	25.1918i	0.239855	−	0.895152i
$793$	−15.9007	+	15.9007i	−0.564651	+	0.564651i
$794$	−53.2093			−1.88833
$795$	−14.9838			−0.531420
$796$	53.7436	−	53.7436i	1.90489	−	1.90489i
$797$	10.0543	+	5.80486i	0.356142	+	0.205619i	0.667387	−	0.744711i	$-0.267413\pi$
$797$	10.0543	+	5.80486i	0.356142	+	0.205619i	−0.311245	+	0.950330i	$0.600746\pi$
$798$	10.3490	+	2.77301i	0.366352	+	0.0981636i
$799$	−0.0180560	−	0.0312739i	−0.000638776	−	0.00110639i
$800$			6.38490i			0.225740i
$801$	10.6255	−	18.4039i	0.375434	−	0.650270i
$802$	−14.2744			−0.504045
$803$	5.61344	+	4.85028i	0.198094	+	0.171163i
$804$	32.0887			1.13168
$805$	21.8378	−	37.8241i	0.769680	−	1.33313i
$806$		−	26.3721i		−	0.928916i
$807$	27.7347	+	48.0380i	0.976309	+	1.69102i
$808$	−64.8827	−	17.3853i	−2.28257	−	0.611612i
$809$	26.9388	+	15.5531i	0.947117	+	0.546818i	0.892184	−	0.451672i	$-0.149172\pi$
$809$	26.9388	+	15.5531i	0.947117	+	0.546818i	0.0549327	+	0.998490i	$0.482506\pi$
$810$	−11.2347	+	11.2347i	−0.394749	+	0.394749i
$811$	30.7575			1.08004			0.540021	−	0.841652i	$-0.318416\pi$
$811$	30.7575			1.08004			0.540021	+	0.841652i	$0.318416\pi$
$812$	159.506			5.59755
$813$	25.1538	−	25.1538i	0.882184	−	0.882184i
$814$	3.31314	−	12.3648i	0.116125	−	0.433386i
$815$	1.65068	−	0.953018i	0.0578207	−	0.0333828i
$816$	−0.174549	+	0.0467704i	−0.00611045	+	0.00163729i
$817$	0.120458	+	0.449555i	0.00421429	+	0.0157279i
$818$	20.3695	−	76.0198i	0.712201	−	2.65797i
$819$	25.0911	−	43.4591i	0.876755	−	1.51858i
$820$	−16.7831	+	16.7831i	−0.586090	+	0.586090i
$821$	−3.08203	+	5.33824i	−0.107564	+	0.186306i	−0.914783	−	0.403946i	$-0.867638\pi$
$821$	−3.08203	+	5.33824i	−0.107564	+	0.186306i	0.807219	+	0.590252i	$0.200972\pi$
$822$	−103.433	−	59.7171i	−3.60764	−	2.08287i
$823$	−9.60553	−	35.8483i	−0.334828	−	1.24959i	−0.904056	−	0.427415i	$-0.859424\pi$
$823$	−9.60553	−	35.8483i	−0.334828	−	1.24959i	0.569228	−	0.822180i	$-0.307242\pi$
$824$	−0.291263	−	0.291263i	−0.0101466	−	0.0101466i
$825$	5.22661	+	5.22661i	0.181967	+	0.181967i
$826$	29.1839	−	16.8493i	1.01544	−	0.586263i
$827$		−	19.4903i		−	0.677745i	−0.940832	−	0.338873i	$-0.889954\pi$
$827$		−	19.4903i		−	0.677745i	0.940832	−	0.338873i	$-0.110046\pi$
$828$	148.663	+	85.8305i	5.16639	+	2.98282i
$829$	−5.99109	+	22.3591i	−0.208079	+	0.776562i	0.780410	+	0.625269i	$0.215011\pi$
$829$	−5.99109	+	22.3591i	−0.208079	+	0.776562i	−0.988489	+	0.151294i	$0.951656\pi$
$830$		−	34.0805i		−	1.18295i
$831$	−57.9682	−	15.5325i	−2.01090	−	0.538818i
$832$	11.2581	−	3.01659i	0.390304	−	0.104582i
$833$	−0.0787151	−	0.0787151i	−0.00272732	−	0.00272732i
$834$	−31.9877	+	8.57107i	−1.10764	+	0.296792i
$835$	−3.29276	−	5.70323i	−0.113951	−	0.197369i
$836$	−1.28527	−	0.344387i	−0.0444519	−	0.0119109i
$837$	−8.65605	−	32.3048i	−0.299197	−	1.11662i
$838$	15.7492	−	9.09281i	0.544047	−	0.314106i
$839$	16.7226	+	28.9643i	0.577327	+	0.999960i	0.995785	+	0.0917236i	$0.0292376\pi$
$839$	16.7226	+	28.9643i	0.577327	+	0.999960i	−0.418457	+	0.908236i	$0.637429\pi$
$840$	46.7680	+	81.0046i	1.61365	+	2.79492i
$841$	50.3817	−	29.0879i	1.73730	−	1.00303i
$842$	−9.90326	−	36.9595i	−0.341289	−	1.27371i
$843$	27.5313	+	7.37700i	0.948230	+	0.254077i
$844$	−39.6811	−	68.7298i	−1.36588	−	2.36578i
$845$	−10.9510	+	2.93432i	−0.376727	+	0.100944i
$846$	−29.5851	−	29.5851i	−1.01716	−	1.01716i
$847$	40.1788	−	10.7659i	1.38056	−	0.369920i
$848$	−18.2879	−	4.90023i	−0.628010	−	0.168275i
$849$			24.6660i			0.846535i
$850$	0.0221604	−	0.0827037i	0.000760095	−	0.00283671i
$851$	38.2877	+	22.1054i	1.31249	+	0.757764i
$852$			112.252i			3.84568i
$853$	−20.3293	+	11.7371i	−0.696062	+	0.401872i	−0.805879	−	0.592080i	$-0.798307\pi$
$853$	−20.3293	+	11.7371i	−0.696062	+	0.401872i	0.109817	+	0.993952i	$0.464974\pi$
$854$	71.0395	+	71.0395i	2.43092	+	2.43092i
$855$	2.02429	+	2.02429i	0.0692293	+	0.0692293i
$856$	−2.20590	−	8.23252i	−0.0753960	−	0.281382i
$857$	−0.811717	−	0.468645i	−0.0277277	−	0.0160086i	0.486072	−	0.873919i	$-0.338429\pi$
$857$	−0.811717	−	0.468645i	−0.0277277	−	0.0160086i	−0.513800	+	0.857910i	$0.671763\pi$
$858$	−7.12321	+	12.3378i	−0.243183	+	0.421205i
$859$	−9.15974	+	9.15974i	−0.312526	+	0.312526i	−0.845888	−	0.533361i	$-0.820929\pi$
$859$	−9.15974	+	9.15974i	−0.312526	+	0.312526i	0.533361	+	0.845888i	$0.320929\pi$
$860$	−3.87171	+	6.70599i	−0.132024	+	0.228672i
$861$	11.9717	−	44.6789i	0.407993	−	1.52265i
$862$	−1.75776	−	6.56003i	−0.0598694	−	0.223436i
$863$	22.2962	−	5.97425i	0.758972	−	0.203366i	0.141478	−	0.989941i	$-0.454815\pi$
$863$	22.2962	−	5.97425i	0.758972	−	0.203366i	0.617494	+	0.786576i	$0.288148\pi$
$864$	−13.5156	+	7.80323i	−0.459810	+	0.265471i
$865$	5.72823	−	21.3781i	0.194766	−	0.726876i
$866$	−63.5606	+	63.5606i	−2.15988	+	2.15988i
$867$	−49.4449			−1.67924
$868$	−79.8645			−2.71078
$869$	4.89026	−	4.89026i	0.165891	−	0.165891i
$870$	84.3724	+	48.7124i	2.86049	+	1.65151i
$871$	−5.73361	−	1.53632i	−0.194276	−	0.0520561i
$872$	−40.6074	−	70.3341i	−1.37514	−	2.38181i
$873$		−	25.9620i		−	0.878681i
$874$	3.38984	−	5.87138i	0.114663	−	0.198602i
$875$	−46.3354			−1.56642
$876$	−7.60678	−	104.296i	−0.257009	−	3.52384i
$877$	11.6855			0.394591			0.197295	−	0.980344i	$-0.436784\pi$
$877$	11.6855			0.394591			0.197295	+	0.980344i	$0.436784\pi$
$878$	23.9130	−	41.4186i	0.807025	−	1.39781i
$879$			5.35561i			0.180640i
$880$	−3.30782	−	5.72932i	−0.111507	−	0.193135i
$881$	−19.8303	−	5.31351i	−0.668099	−	0.179017i	−0.0912008	−	0.995833i	$-0.529071\pi$
$881$	−19.8303	−	5.31351i	−0.668099	−	0.179017i	−0.576898	+	0.816816i	$0.695737\pi$
$882$	−111.697	−	64.4881i	−3.76102	−	2.17143i
$883$	−41.9389	+	41.9389i	−1.41136	+	1.41136i	−0.660758	+	0.750599i	$0.729765\pi$
$883$	−41.9389	+	41.9389i	−1.41136	+	1.41136i	−0.750599	+	0.660758i	$0.770235\pi$
$884$	0.111861			0.00376229
$885$	13.9519			0.468987
$886$	−17.9330	+	17.9330i	−0.602471	+	0.602471i
$887$	−4.85547	+	18.1209i	−0.163031	+	0.608439i	0.835252	+	0.549867i	$0.185321\pi$
$887$	−4.85547	+	18.1209i	−0.163031	+	0.608439i	−0.998283	+	0.0585723i	$0.981345\pi$
$888$	−81.9974	+	47.3412i	−2.75165	+	1.58867i
$889$	77.0759	−	20.6524i	2.58504	−	0.692660i
$890$	−3.61416	−	13.4882i	−0.121147	−	0.452126i
$891$	−0.995269	+	3.71440i	−0.0333428	+	0.124437i
$892$	−4.85686	+	8.41234i	−0.162620	+	0.281666i
$893$	−0.792022	+	0.792022i	−0.0265040	+	0.0265040i
$894$	19.9294	−	34.5187i	0.666539	−	1.15448i
$895$	21.6421	+	12.4951i	0.723414	+	0.417664i
$896$	−18.0616	−	67.4067i	−0.603395	−	2.25190i
$897$	−34.7918	−	34.7918i	−1.16166	−	1.16166i
$898$	42.6689	+	42.6689i	1.42388	+	1.42388i
$899$	−37.8011	+	21.8245i	−1.26074	+	0.727887i
$900$		−	67.2425i		−	2.24142i
$901$	0.0363801	+	0.0210041i	0.00121200	+	0.000699747i
$902$	−2.19342	+	8.18597i	−0.0730330	+	0.272563i
$903$		−	15.0905i		−	0.502181i
$904$	−74.0520	−	19.8422i	−2.46293	−	0.659941i
$905$	0.148798	−	0.0398702i	0.00494620	−	0.00132533i
$906$	80.4774	+	80.4774i	2.67368	+	2.67368i
$907$	−16.7938	+	4.49988i	−0.557629	+	0.149416i	−0.526617	−	0.850103i	$-0.676540\pi$
$907$	−16.7938	+	4.49988i	−0.557629	+	0.149416i	−0.0310121	+	0.999519i	$0.509873\pi$
$908$	62.0314	+	107.442i	2.05858	+	3.56557i
$909$	64.3878	+	17.2527i	2.13561	+	0.572234i
$910$	−8.53449	−	31.8512i	−0.282916	−	1.05586i
$911$	−21.3750	+	12.3409i	−0.708185	+	0.408871i	−0.810389	−	0.585893i	$-0.800744\pi$
$911$	−21.3750	+	12.3409i	−0.708185	+	0.408871i	0.102204	+	0.994764i	$0.467411\pi$
$912$	2.80250	+	4.85407i	0.0927999	+	0.160734i
$913$	−4.12422	−	7.14336i	−0.136492	−	0.236411i
$914$	−1.39266	+	0.804051i	−0.0460650	+	0.0265956i
$915$	10.7654	+	40.1771i	0.355894	+	1.32821i
$916$	60.8846	+	16.3140i	2.01168	+	0.539029i
$917$	−7.27163	−	12.5948i	−0.240130	−	0.415918i
$918$	0.202151	−	0.0541661i	0.00667197	−	0.00178775i
$919$	8.88586	+	8.88586i	0.293118	+	0.293118i	0.838311	−	0.545193i	$-0.183544\pi$
$919$	8.88586	+	8.88586i	0.293118	+	0.293118i	−0.545193	+	0.838311i	$0.683544\pi$
$920$	57.1710	−	15.3189i	1.88487	−	0.505050i
$921$	33.7941	+	9.05510i	1.11355	+	0.298376i
$922$		−	36.3975i		−	1.19869i
$923$	5.37430	−	20.0571i	0.176897	−	0.660189i
$924$	37.3634	+	21.5718i	1.22917	+	0.709659i
$925$		−	17.3181i		−	0.569417i
$926$	−9.52352	+	5.49841i	−0.312962	+	0.180689i
$927$	0.289041	+	0.289041i	0.00949336	+	0.00949336i
$928$	14.4026	+	14.4026i	0.472787	+	0.472787i
$929$	−12.8242	−	47.8605i	−0.420748	−	1.57025i	−0.773036	−	0.634362i	$-0.781263\pi$
$929$	−12.8242	−	47.8605i	−0.420748	−	1.57025i	0.352288	−	0.935892i	$-0.385404\pi$
$930$	−42.2453	−	24.3903i	−1.38528	−	0.799790i
$931$	−1.72641	+	2.99023i	−0.0565808	+	0.0980007i
$932$	51.7918	−	51.7918i	1.69650	−	1.69650i
$933$	7.86035	−	13.6145i	0.257336	−	0.445719i
$934$	−4.22874	+	15.7819i	−0.138369	+	0.516399i
$935$	0.00379910	+	0.0141784i	0.000124244	+	0.000463685i
$936$	65.6883	−	17.6011i	2.14709	−	0.575311i
$937$	−30.0284	+	17.3369i	−0.980986	+	0.566373i	−0.902568	−	0.430548i	$-0.858320\pi$
$937$	−30.0284	+	17.3369i	−0.980986	+	0.566373i	−0.0784185	+	0.996921i	$0.524987\pi$
$938$	−6.86379	+	25.6160i	−0.224111	+	0.836392i
$939$	−10.6342	+	10.6342i	−0.347033	+	0.347033i
$940$	−18.6357			−0.607830
$941$	11.2111			0.365472			0.182736	−	0.983162i	$-0.441505\pi$
$941$	11.2111			0.365472			0.182736	+	0.983162i	$0.441505\pi$
$942$	111.076	−	111.076i	3.61904	−	3.61904i
$943$	−25.3479	−	14.6346i	−0.825442	−	0.476569i
$944$	17.0285	+	4.56276i	0.554229	+	0.148505i
$945$	−20.9089	−	36.2153i	−0.680166	−	1.17808i
$946$			2.76486i			0.0898932i
$947$	−18.5313	+	32.0972i	−0.602187	+	1.04302i	0.390302	+	0.920687i	$0.372371\pi$
$947$	−18.5313	+	32.0972i	−0.602187	+	1.04302i	−0.992489	+	0.122332i	$0.960963\pi$
$948$	−97.4864			−3.16621
$949$	−3.63422	+	18.9998i	−0.117972	+	0.616759i
$950$	−2.65572			−0.0861628
$951$	−8.46629	+	14.6641i	−0.274538	+	0.475514i
$952$		−	0.262235i		−	0.00849909i
$953$	−5.67961	−	9.83737i	−0.183980	−	0.318664i	0.759252	−	0.650797i	$-0.225565\pi$
$953$	−5.67961	−	9.83737i	−0.183980	−	0.318664i	−0.943233	+	0.332133i	$0.892232\pi$
$954$	47.0125	+	12.5970i	1.52209	+	0.407842i
$955$	13.4322	+	7.75506i	0.434655	+	0.250948i
$956$	50.3633	−	50.3633i	1.62887	−	1.62887i
$957$	23.5796			0.762219
$958$	−103.224			−3.33502
$959$	47.3103	−	47.3103i	1.52773	−	1.52773i
$960$	5.57982	−	20.8242i	0.180088	−	0.672097i
$961$	−7.91977	+	4.57248i	−0.255476	+	0.147499i
$962$	32.2415	−	8.63910i	1.03951	−	0.278536i
$963$	2.18907	+	8.16972i	0.0705418	+	0.263266i
$964$	−16.3092	+	60.8668i	−0.525284	+	1.96039i
$965$	−15.0722	+	26.1058i	−0.485192	+	0.840377i
$966$	−155.439	+	155.439i	−5.00116	+	5.00116i
$967$	−17.0457	+	29.5241i	−0.548154	+	0.949430i	0.450248	+	0.892904i	$0.351336\pi$
$967$	−17.0457	+	29.5241i	−0.548154	+	0.949430i	−0.998401	+	0.0565260i	$0.981998\pi$
$968$	48.8178	+	28.1850i	1.56906	+	0.905899i
$969$	−0.00321873	−	0.0120124i	−0.000103400	−	0.000385895i
$970$	−12.0630	−	12.0630i	−0.387319	−	0.387319i
$971$	−4.98357	−	4.98357i	−0.159930	−	0.159930i	0.622605	−	0.782536i	$-0.286074\pi$
$971$	−4.98357	−	4.98357i	−0.159930	−	0.159930i	−0.782536	+	0.622605i	$0.786074\pi$
$972$	−31.2705	+	18.0540i	−1.00300	+	0.579083i
$973$		−	18.5515i		−	0.594735i
$974$	0.592624	+	0.342152i	0.0189889	+	0.0109633i
$975$	−4.98838	+	18.6169i	−0.159756	+	0.596218i
$976$			52.5575i			1.68232i
$977$	−19.9311	−	5.34052i	−0.637652	−	0.170858i	−0.0745124	−	0.997220i	$-0.523740\pi$
$977$	−19.9311	−	5.34052i	−0.637652	−	0.170858i	−0.563140	+	0.826362i	$0.690407\pi$
$978$	−9.26641	+	2.48293i	−0.296307	+	0.0793952i
$979$	−2.38980	−	2.38980i	−0.0763784	−	0.0763784i
$980$	−55.4895	+	14.8684i	−1.77255	+	0.474953i
$981$	40.2977	+	69.7976i	1.28661	+	2.22847i
$982$	−32.1870	−	8.62447i	−1.02713	−	0.275218i
$983$	−12.1897	−	45.4927i	−0.388792	−	1.45099i	−0.832102	−	0.554623i	$-0.812863\pi$
$983$	−12.1897	−	45.4927i	−0.388792	−	1.45099i	0.443310	−	0.896368i	$-0.353804\pi$
$984$	54.2854	−	31.3417i	1.73056	−	0.999137i
$985$	−8.54156	−	14.7944i	−0.272157	−	0.471389i
$986$	−0.136569	−	0.236544i	−0.00434924	−	0.00753310i
$987$	31.4520	−	18.1588i	1.00113	−	0.578002i
$988$	−0.897997	−	3.35137i	−0.0285691	−	0.106621i
$989$	−9.22362	−	2.47146i	−0.293294	−	0.0785879i
$990$	8.50338	+	14.7283i	0.270255	+	0.468096i
$991$	17.5240	−	4.69553i	0.556667	−	0.149158i	0.0304922	−	0.999535i	$-0.490293\pi$
$991$	17.5240	−	4.69553i	0.556667	−	0.149158i	0.526175	+	0.850377i	$0.323626\pi$
$992$	−7.21137	−	7.21137i	−0.228961	−	0.228961i
$993$	−4.11049	+	1.10140i	−0.130442	+	0.0349519i
$994$	−89.6092	−	24.0107i	−2.84223	−	0.761574i
$995$			26.0062i			0.824452i
$996$	−30.0930	+	112.308i	−0.953532	+	3.55863i
$997$	−47.1609	−	27.2284i	−1.49360	−	0.862331i	−0.493628	−	0.869673i	$-0.664329\pi$
$997$	−47.1609	−	27.2284i	−1.49360	−	0.862331i	−0.999973	+	0.00734269i	$0.997663\pi$
$998$			50.8796i			1.61057i
$999$	36.6591	−	21.1652i	1.15984	−	0.669636i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	73.2.h.a.3.1	✓	20
3.2	odd	2		657.2.be.c.514.5		20
73.7	odd	24		5329.2.a.m.1.19		20
73.49	even	12	inner	73.2.h.a.49.1	yes	20
73.66	odd	24		5329.2.a.m.1.20		20
219.122	odd	12		657.2.be.c.487.5		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
73.2.h.a.3.1	✓	20	1.1	even	1	trivial
73.2.h.a.49.1	yes	20	73.49	even	12	inner
657.2.be.c.487.5		20	219.122	odd	12
657.2.be.c.514.5		20	3.2	odd	2
5329.2.a.m.1.19		20	73.7	odd	24
5329.2.a.m.1.20		20	73.66	odd	24

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:	\( N \)	\(=\)	\( 73 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	73.h (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.24580 + 2.15779i) q^{2} +2.90855i q^{3} +(-2.10403 - 3.64429i) q^{4} +(1.39079 + 0.372661i) q^{5} +(-6.27603 - 3.62347i) q^{6} +(2.87065 - 2.87065i) q^{7} +5.50161 q^{8} -5.45964 q^{9} +O(q^{10})\)	\(q+(-1.24580 + 2.15779i) q^{2} +2.90855i q^{3} +(-2.10403 - 3.64429i) q^{4} +(1.39079 + 0.372661i) q^{5} +(-6.27603 - 3.62347i) q^{6} +(2.87065 - 2.87065i) q^{7} +5.50161 q^{8} -5.45964 q^{9} +(-2.53677 + 2.53677i) q^{10} +(-0.224728 + 0.838698i) q^{11} +(10.5996 - 6.11967i) q^{12} +(-2.18693 + 0.585985i) q^{13} +(2.61800 + 9.77052i) q^{14} +(-1.08390 + 4.04517i) q^{15} +(-2.64584 + 4.58272i) q^{16} +(0.00830215 - 0.00830215i) q^{17} +(6.80162 - 11.7807i) q^{18} +(-0.315382 - 0.182086i) q^{19} +(-1.56818 - 5.85253i) q^{20} +(8.34943 + 8.34943i) q^{21} +(-1.52977 - 1.52977i) q^{22} +(6.47077 - 3.73590i) q^{23} +16.0017i q^{24} +(-2.53471 - 1.46341i) q^{25} +(1.46004 - 5.44894i) q^{26} -7.15398i q^{27} +(-16.5014 - 4.42155i) q^{28} +(-9.01865 + 2.41654i) q^{29} +(-7.37831 - 7.37831i) q^{30} +(4.51564 - 1.20996i) q^{31} +(-1.09075 - 1.88924i) q^{32} +(-2.43939 - 0.653633i) q^{33} +(0.00757147 + 0.0282571i) q^{34} +(5.06225 - 2.92269i) q^{35} +(11.4873 + 19.8965i) q^{36} +(2.95851 + 5.12430i) q^{37} +(0.785805 - 0.453685i) q^{38} +(-1.70436 - 6.36078i) q^{39} +(7.65158 + 2.05023i) q^{40} +(-1.95865 - 3.39248i) q^{41} +(-28.4180 + 7.61458i) q^{42} +(-0.903686 - 0.903686i) q^{43} +(3.52929 - 0.945671i) q^{44} +(-7.59321 - 2.03459i) q^{45} +18.6167i q^{46} +(0.796053 - 2.97091i) q^{47} +(-13.3291 - 7.69554i) q^{48} -9.48129i q^{49} +(6.31548 - 3.64624i) q^{50} +(0.0241472 + 0.0241472i) q^{51} +(6.73686 + 6.73686i) q^{52} +(0.926027 + 3.45598i) q^{53} +(15.4368 + 8.91243i) q^{54} +(-0.625100 + 1.08270i) q^{55} +(15.7932 - 15.7932i) q^{56} +(0.529605 - 0.917303i) q^{57} +(6.02105 - 22.4709i) q^{58} +(-0.862254 - 3.21797i) q^{59} +(17.0224 - 4.56113i) q^{60} +(8.60146 - 4.96605i) q^{61} +(-3.01474 + 11.2512i) q^{62} +(-15.6727 + 15.6727i) q^{63} -5.14790 q^{64} -3.25993 q^{65} +(4.44939 - 4.44939i) q^{66} +(2.27052 + 1.31088i) q^{67} +(-0.0477234 - 0.0127875i) q^{68} +(10.8660 + 18.8205i) q^{69} +14.5644i q^{70} +(-4.58569 + 7.94266i) q^{71} -30.0368 q^{72} +(3.72245 - 7.69047i) q^{73} -14.7429 q^{74} +(4.25641 - 7.37232i) q^{75} +1.53246i q^{76} +(1.76249 + 3.05273i) q^{77} +(15.8485 + 4.24659i) q^{78} +(-6.89789 - 3.98250i) q^{79} +(-5.38760 + 5.38760i) q^{80} +4.42877 q^{81} +9.76034 q^{82} +(-6.71731 + 6.71731i) q^{83} +(12.8603 - 47.9952i) q^{84} +(0.0146404 - 0.00845266i) q^{85} +(3.07577 - 0.824151i) q^{86} +(-7.02862 - 26.2312i) q^{87} +(-1.23637 + 4.61419i) q^{88} +(-1.94619 + 3.37090i) q^{89} +(13.8498 - 13.8498i) q^{90} +(-4.59574 + 7.96006i) q^{91} +(-27.2294 - 15.7209i) q^{92} +(3.51923 + 13.1340i) q^{93} +(5.41887 + 5.41887i) q^{94} +(-0.370773 - 0.370773i) q^{95} +(5.49494 - 3.17251i) q^{96} +4.75526i q^{97} +(20.4586 + 11.8118i) q^{98} +(1.22694 - 4.57899i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9 - 12 * q^10 - 6 * q^11 + 30 * q^12 - 16 * q^13 - 8 * q^14 + 8 * q^15 - 4 * q^16 + 8 * q^17 + 4 * q^18 - 12 * q^19 + 8 * q^20 + 24 * q^21 + 8 * q^22 - 6 * q^23 - 36 * q^25 - 36 * q^26 - 12 * q^28 - 6 * q^29 + 34 * q^30 + 20 * q^31 - 6 * q^32 + 34 * q^33 + 36 * q^34 + 18 * q^35 + 18 * q^36 - 8 * q^37 - 66 * q^38 + 28 * q^39 - 2 * q^40 + 10 * q^41 - 56 * q^42 + 12 * q^43 + 34 * q^44 - 4 * q^45 - 20 * q^47 - 48 * q^48 + 30 * q^50 - 36 * q^51 + 80 * q^52 + 24 * q^53 + 24 * q^54 + 10 * q^55 + 10 * q^57 + 54 * q^58 - 18 * q^59 + 50 * q^60 + 42 * q^61 - 12 * q^62 - 48 * q^63 - 56 * q^64 - 44 * q^65 - 10 * q^66 - 42 * q^67 - 44 * q^68 + 24 * q^69 + 4 * q^71 - 112 * q^72 - 16 * q^73 - 96 * q^74 - 52 * q^75 + 52 * q^77 - 12 * q^78 + 54 * q^79 - 2 * q^80 + 60 * q^81 + 32 * q^82 - 30 * q^83 - 16 * q^84 + 6 * q^85 + 16 * q^86 + 32 * q^87 + 2 * q^88 - 22 * q^89 - 110 * q^90 - 8 * q^91 - 78 * q^92 + 78 * q^93 + 38 * q^94 + 38 * q^95 + 72 * q^96 + 138 * q^98 - 32 * q^99

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