LMFDB - Embedded newform 73.2.h.a.24.5

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			24.5
Root			$1.62072i$ of defining polynomial
Character	$\chi$	$=$	73.24
Dual form			73.2.h.a.70.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.810359 + 1.40358i) q^{2} -2.72609i q^{3} +(-0.313364 + 0.542762i) q^{4} +(0.159770 + 0.596269i) q^{5} +(3.82630 - 2.20911i) q^{6} +(-3.13775 + 3.13775i) q^{7} +2.22569 q^{8} -4.43157 q^{9} +O(q^{10})$	\(q+(0.810359 + 1.40358i) q^{2} -2.72609i q^{3} +(-0.313364 + 0.542762i) q^{4} +(0.159770 + 0.596269i) q^{5} +(3.82630 - 2.20911i) q^{6} +(-3.13775 + 3.13775i) q^{7} +2.22569 q^{8} -4.43157 q^{9} +(-0.707442 + 0.707442i) q^{10} +(-2.57922 + 0.691101i) q^{11} +(1.47962 + 0.854259i) q^{12} +(-0.269803 + 1.00692i) q^{13} +(-6.94680 - 1.86139i) q^{14} +(1.62548 - 0.435547i) q^{15} +(2.43033 + 4.20946i) q^{16} +(3.24855 - 3.24855i) q^{17} +(-3.59116 - 6.22008i) q^{18} +(2.14965 - 1.24110i) q^{19} +(-0.373698 - 0.100132i) q^{20} +(8.55380 + 8.55380i) q^{21} +(-3.06012 - 3.06012i) q^{22} +(-8.04225 - 4.64319i) q^{23} -6.06743i q^{24} +(4.00012 - 2.30947i) q^{25} +(-1.63193 + 0.437275i) q^{26} +3.90259i q^{27} +(-0.719795 - 2.68631i) q^{28} +(-0.0704997 + 0.263108i) q^{29} +(1.92855 + 1.92855i) q^{30} +(-0.667622 + 2.49160i) q^{31} +(-1.71320 + 2.96735i) q^{32} +(1.88400 + 7.03120i) q^{33} +(7.19211 + 1.92712i) q^{34} +(-2.37226 - 1.36963i) q^{35} +(1.38869 - 2.40529i) q^{36} +(-5.01018 + 8.67788i) q^{37} +(3.48398 + 2.01148i) q^{38} +(2.74495 + 0.735508i) q^{39} +(0.355598 + 1.32711i) q^{40} +(3.11012 - 5.38688i) q^{41} +(-5.07432 + 18.9376i) q^{42} +(1.03461 + 1.03461i) q^{43} +(0.433132 - 1.61647i) q^{44} +(-0.708031 - 2.64241i) q^{45} -15.0506i q^{46} +(4.47879 - 1.20009i) q^{47} +(11.4754 - 6.62531i) q^{48} -12.6910i q^{49} +(6.48306 + 3.74300i) q^{50} +(-8.85585 - 8.85585i) q^{51} +(-0.461971 - 0.461971i) q^{52} +(-6.58779 - 1.76519i) q^{53} +(-5.47761 + 3.16250i) q^{54} +(-0.824164 - 1.42749i) q^{55} +(-6.98365 + 6.98365i) q^{56} +(-3.38335 - 5.86014i) q^{57} +(-0.426425 + 0.114260i) q^{58} +(7.25728 + 1.94458i) q^{59} +(-0.272969 + 1.01874i) q^{60} +(9.38159 + 5.41646i) q^{61} +(-4.03818 + 1.08203i) q^{62} +(13.9052 - 13.9052i) q^{63} +4.16811 q^{64} -0.643501 q^{65} +(-8.34216 + 8.34216i) q^{66} +(-2.25935 + 1.30443i) q^{67} +(0.745212 + 2.78117i) q^{68} +(-12.6578 + 21.9239i) q^{69} -4.43956i q^{70} +(0.381693 + 0.661111i) q^{71} -9.86329 q^{72} +(-6.23564 + 5.84096i) q^{73} -16.2402 q^{74} +(-6.29582 - 10.9047i) q^{75} +1.55567i q^{76} +(5.92446 - 10.2615i) q^{77} +(1.19205 + 4.44880i) q^{78} +(8.94187 - 5.16259i) q^{79} +(-2.12168 + 2.12168i) q^{80} -2.65589 q^{81} +10.0812 q^{82} +(-6.24862 + 6.24862i) q^{83} +(-7.32313 + 1.96223i) q^{84} +(2.45603 + 1.41799i) q^{85} +(-0.613756 + 2.29057i) q^{86} +(0.717258 + 0.192189i) q^{87} +(-5.74055 + 1.53818i) q^{88} +(1.28978 + 2.23396i) q^{89} +(3.13508 - 3.13508i) q^{90} +(-2.31289 - 4.00604i) q^{91} +(5.04030 - 2.91002i) q^{92} +(6.79233 + 1.82000i) q^{93} +(5.31385 + 5.31385i) q^{94} +(1.08348 + 1.08348i) q^{95} +(8.08926 + 4.67034i) q^{96} +1.53481i q^{97} +(17.8128 - 10.2842i) q^{98} +(11.4300 - 3.06266i) 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 $\left(\mathbb{Z}/73\mathbb{Z}\right)^\times$.

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

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 $

$2$	0.810359	+	1.40358i	0.573010	+	0.992483i	0.996255	+	0.0864676i	$0.0275579\pi$
$2$	0.810359	+	1.40358i	0.573010	+	0.992483i	−0.423244	+	0.906016i	$0.639109\pi$
$3$		−	2.72609i		−	1.57391i	−0.617011	−	0.786955i	$-0.711657\pi$
$3$		−	2.72609i		−	1.57391i	0.617011	−	0.786955i	$-0.288343\pi$
$4$	−0.313364	+	0.542762i	−0.156682	+	0.271381i
$5$	0.159770	+	0.596269i	0.0714512	+	0.266660i	0.992405	−	0.123012i	$-0.0392553\pi$
$5$	0.159770	+	0.596269i	0.0714512	+	0.266660i	−0.920954	+	0.389671i	$0.872589\pi$
$6$	3.82630	−	2.20911i	1.56208	−	0.901866i
$7$	−3.13775	+	3.13775i	−1.18596	+	1.18596i	−0.207784	+	0.978175i	$0.566625\pi$
$7$	−3.13775	+	3.13775i	−1.18596	+	1.18596i	−0.978175	+	0.207784i	$0.933375\pi$
$8$	2.22569			0.786899
$9$	−4.43157			−1.47719
$10$	−0.707442	+	0.707442i	−0.223713	+	0.223713i
$11$	−2.57922	+	0.691101i	−0.777666	+	0.208375i	−0.625755	−	0.780019i	$-0.715209\pi$
$11$	−2.57922	+	0.691101i	−0.777666	+	0.208375i	−0.151910	+	0.988394i	$0.548542\pi$
$12$	1.47962	+	0.854259i	0.427129	+	0.246603i
$13$	−0.269803	+	1.00692i	−0.0748299	+	0.279269i	−0.993195	−	0.116466i	$-0.962843\pi$
$13$	−0.269803	+	1.00692i	−0.0748299	+	0.279269i	0.918365	+	0.395735i	$0.129510\pi$
$14$	−6.94680	−	1.86139i	−1.85661	−	0.497477i
$15$	1.62548	−	0.435547i	0.419698	−	0.112458i
$16$	2.43033	+	4.20946i	0.607583	+	1.05237i
$17$	3.24855	−	3.24855i	0.787890	−	0.787890i	−0.193258	−	0.981148i	$-0.561906\pi$
$17$	3.24855	−	3.24855i	0.787890	−	0.787890i	0.981148	+	0.193258i	$0.0619055\pi$
$18$	−3.59116	−	6.22008i	−0.846445	−	1.46609i
$19$	2.14965	−	1.24110i	0.493164	−	0.284728i	−0.232722	−	0.972543i	$-0.574763\pi$
$19$	2.14965	−	1.24110i	0.493164	−	0.284728i	0.725886	+	0.687815i	$0.241430\pi$
$20$	−0.373698	−	0.100132i	−0.0835615	−	0.0223902i
$21$	8.55380	+	8.55380i	1.86659	+	1.86659i
$22$	−3.06012	−	3.06012i	−0.652419	−	0.652419i
$23$	−8.04225	−	4.64319i	−1.67692	−	0.968173i	−0.963603	−	0.267336i	$-0.913857\pi$
$23$	−8.04225	−	4.64319i	−1.67692	−	0.968173i	−0.713322	−	0.700837i	$-0.752810\pi$
$24$		−	6.06743i		−	1.23851i
$25$	4.00012	−	2.30947i	0.800023	−	0.461894i
$26$	−1.63193	+	0.437275i	−0.320048	+	0.0857567i
$27$			3.90259i			0.751054i
$28$	−0.719795	−	2.68631i	−0.136028	−	0.507665i
$29$	−0.0704997	+	0.263108i	−0.0130915	+	0.0488580i	−0.972163	−	0.234307i	$-0.924718\pi$
$29$	−0.0704997	+	0.263108i	−0.0130915	+	0.0488580i	0.959071	+	0.283165i	$0.0913845\pi$
$30$	1.92855	+	1.92855i	0.352104	+	0.352104i
$31$	−0.667622	+	2.49160i	−0.119909	+	0.447505i	−0.999607	−	0.0280269i	$-0.991078\pi$
$31$	−0.667622	+	2.49160i	−0.119909	+	0.447505i	0.879699	+	0.475532i	$0.157744\pi$
$32$	−1.71320	+	2.96735i	−0.302854	+	0.524558i
$33$	1.88400	+	7.03120i	0.327963	+	1.22398i
$34$	7.19211	+	1.92712i	1.23344	+	0.330498i
$35$	−2.37226	−	1.36963i	−0.400985	−	0.231509i
$36$	1.38869	−	2.40529i	0.231449	−	0.400882i
$37$	−5.01018	+	8.67788i	−0.823668	+	1.42663i	0.0792653	+	0.996854i	$0.474743\pi$
$37$	−5.01018	+	8.67788i	−0.823668	+	1.42663i	−0.902933	+	0.429781i	$0.858591\pi$
$38$	3.48398	+	2.01148i	0.565176	+	0.326304i
$39$	2.74495	+	0.735508i	0.439544	+	0.117776i
$40$	0.355598	+	1.32711i	0.0562249	+	0.209834i
$41$	3.11012	−	5.38688i	0.485719	−	0.841290i	−0.514147	−	0.857702i	$-0.671891\pi$
$41$	3.11012	−	5.38688i	0.485719	−	0.841290i	0.999865	+	0.0164128i	$0.00522459\pi$
$42$	−5.07432	+	18.9376i	−0.782984	+	2.92214i
$43$	1.03461	+	1.03461i	0.157777	+	0.157777i	0.781581	−	0.623804i	$-0.214414\pi$
$43$	1.03461	+	1.03461i	0.157777	+	0.157777i	−0.623804	+	0.781581i	$0.714414\pi$
$44$	0.433132	−	1.61647i	0.0652972	−	0.243692i
$45$	−0.708031	−	2.64241i	−0.105547	−	0.393907i
$46$		−	15.0506i		−	2.21909i
$47$	4.47879	−	1.20009i	0.653298	−	0.175051i	0.0830785	−	0.996543i	$-0.473525\pi$
$47$	4.47879	−	1.20009i	0.653298	−	0.175051i	0.570220	+	0.821492i	$0.306858\pi$
$48$	11.4754	−	6.62531i	1.65633	−	0.956281i
$49$		−	12.6910i		−	1.81300i
$50$	6.48306	+	3.74300i	0.916843	+	0.529340i
$51$	−8.85585	−	8.85585i	−1.24007	−	1.24007i
$52$	−0.461971	−	0.461971i	−0.0640639	−	0.0640639i
$53$	−6.58779	−	1.76519i	−0.904902	−	0.242468i	−0.223782	−	0.974639i	$-0.571840\pi$
$53$	−6.58779	−	1.76519i	−0.904902	−	0.242468i	−0.681120	+	0.732171i	$0.738507\pi$
$54$	−5.47761	+	3.16250i	−0.745409	+	0.430362i
$55$	−0.824164	−	1.42749i	−0.111130	−	0.192483i
$56$	−6.98365	+	6.98365i	−0.933230	+	0.933230i
$57$	−3.38335	−	5.86014i	−0.448136	−	0.776195i
$58$	−0.426425	+	0.114260i	−0.0559923	+	0.0150031i
$59$	7.25728	+	1.94458i	0.944817	+	0.253163i	0.698162	−	0.715940i	$-0.254002\pi$
$59$	7.25728	+	1.94458i	0.944817	+	0.253163i	0.246655	+	0.969103i	$0.420668\pi$
$60$	−0.272969	+	1.01874i	−0.0352402	+	0.131518i
$61$	9.38159	+	5.41646i	1.20119	+	0.693507i	0.960820	−	0.277175i	$-0.0893981\pi$
$61$	9.38159	+	5.41646i	1.20119	+	0.693507i	0.240369	+	0.970681i	$0.422731\pi$
$62$	−4.03818	+	1.08203i	−0.512850	+	0.137418i
$63$	13.9052	−	13.9052i	1.75189	−	1.75189i
$64$	4.16811			0.521014
$65$	−0.643501			−0.0798165
$66$	−8.34216	+	8.34216i	−1.02685	+	1.02685i
$67$	−2.25935	+	1.30443i	−0.276023	+	0.159362i	−0.631622	−	0.775277i	$-0.717610\pi$
$67$	−2.25935	+	1.30443i	−0.276023	+	0.159362i	0.355599	+	0.934639i	$0.384277\pi$
$68$	0.745212	+	2.78117i	0.0903703	+	0.337267i
$69$	−12.6578	+	21.9239i	−1.52382	+	2.63933i
$70$		−	4.43956i		−	0.530628i
$71$	0.381693	+	0.661111i	0.0452986	+	0.0784595i	0.887786	−	0.460257i	$-0.152243\pi$
$71$	0.381693	+	0.661111i	0.0452986	+	0.0784595i	−0.842487	+	0.538716i	$0.818909\pi$
$72$	−9.86329			−1.16240
$73$	−6.23564	+	5.84096i	−0.729827	+	0.683632i
$73$	−6.23564	+	5.84096i	−0.729827	+	0.683632i
$74$	−16.2402			−1.88788
$75$	−6.29582	−	10.9047i	−0.726979	−	1.25916i
$76$			1.55567i			0.178447i
$77$	5.92446	−	10.2615i	0.675155	−	1.16940i
$78$	1.19205	+	4.44880i	0.134973	+	0.503727i
$79$	8.94187	−	5.16259i	1.00604	−	0.580837i	0.0960095	−	0.995380i	$-0.469392\pi$
$79$	8.94187	−	5.16259i	1.00604	−	0.580837i	0.910029	+	0.414544i	$0.136059\pi$
$80$	−2.12168	+	2.12168i	−0.237211	+	0.237211i
$81$	−2.65589			−0.295099
$82$	10.0812			1.11329
$83$	−6.24862	+	6.24862i	−0.685875	+	0.685875i	−0.961318	−	0.275443i	$-0.911176\pi$
$83$	−6.24862	+	6.24862i	−0.685875	+	0.685875i	0.275443	+	0.961318i	$0.411176\pi$
$84$	−7.32313	+	1.96223i	−0.799019	+	0.214096i
$85$	2.45603	+	1.41799i	0.266394	+	0.153803i
$86$	−0.613756	+	2.29057i	−0.0661830	+	0.246998i
$87$	0.717258	+	0.192189i	0.0768981	+	0.0206048i
$88$	−5.74055	+	1.53818i	−0.611944	+	0.163970i
$89$	1.28978	+	2.23396i	0.136716	+	0.236799i	0.926252	−	0.376906i	$-0.123012\pi$
$89$	1.28978	+	2.23396i	0.136716	+	0.236799i	−0.789536	+	0.613705i	$0.789679\pi$
$90$	3.13508	−	3.13508i	0.330466	−	0.330466i
$91$	−2.31289	−	4.00604i	−0.242456	−	0.419947i
$92$	5.04030	−	2.91002i	0.525488	−	0.303391i
$93$	6.79233	+	1.82000i	0.704332	+	0.188725i
$94$	5.31385	+	5.31385i	0.548082	+	0.548082i
$95$	1.08348	+	1.08348i	0.111163	+	0.111163i
$96$	8.08926	+	4.67034i	0.825607	+	0.476664i
$97$			1.53481i			0.155836i	0.996960	+	0.0779182i	$0.0248273\pi$
$97$			1.53481i			0.155836i	−0.996960	+	0.0779182i	$0.975173\pi$
$98$	17.8128	−	10.2842i	1.79937	−	1.03887i
$99$	11.4300	−	3.06266i	1.14876	−	0.307809i
$100$			2.89482i			0.289482i
$101$	−2.43263	−	9.07870i	−0.242056	−	0.903364i	−0.974840	−	0.222904i	$-0.928446\pi$
$101$	−2.43263	−	9.07870i	−0.242056	−	0.903364i	0.732785	−	0.680461i	$-0.238220\pi$
$102$	5.25350	−	19.6063i	0.520174	−	1.94132i
$103$	−8.23674	−	8.23674i	−0.811590	−	0.811590i	0.173282	−	0.984872i	$-0.444563\pi$
$103$	−8.23674	−	8.23674i	−0.811590	−	0.811590i	−0.984872	+	0.173282i	$0.944563\pi$
$104$	−0.600497	+	2.24109i	−0.0588836	+	0.219757i
$105$	−3.73372	+	6.46700i	−0.364374	+	0.631115i
$106$	−2.86088	−	10.6769i	−0.277873	−	1.03704i
$107$	0.826651	+	0.221501i	0.0799154	+	0.0214133i	0.298555	−	0.954392i	$-0.403495\pi$
$107$	0.826651	+	0.221501i	0.0799154	+	0.0214133i	−0.218640	+	0.975806i	$0.570162\pi$
$108$	−2.11818	−	1.22293i	−0.203822	−	0.117677i
$109$	−6.54180	+	11.3307i	−0.626590	+	1.08529i	0.361641	+	0.932318i	$0.382217\pi$
$109$	−6.54180	+	11.3307i	−0.626590	+	1.08529i	−0.988231	+	0.152969i	$0.951117\pi$
$110$	1.33574	−	2.31357i	0.127358	−	0.220590i
$111$	23.6567	+	13.6582i	2.24539	+	1.29638i
$112$	−20.8340	−	5.58246i	−1.96863	−	0.527493i
$113$	0.143936	+	0.537177i	0.0135404	+	0.0505333i	0.972365	−	0.233464i	$-0.0750060\pi$
$113$	0.143936	+	0.537177i	0.0135404	+	0.0505333i	−0.958825	+	0.283997i	$0.908339\pi$
$114$	5.48346	−	9.49764i	0.513573	−	0.889535i
$115$	1.48368	−	5.53719i	0.138354	−	0.516345i
$116$	−0.120713	−	0.120713i	−0.0112079	−	0.0112079i
$117$	1.19565	−	4.46223i	0.110538	−	0.412534i
$118$	3.15162	+	11.7620i	0.290130	+	1.08278i
$119$			20.3863i			1.86881i
$120$	3.61782	−	0.969391i	0.330260	−	0.0884929i
$121$	−3.35150	+	1.93499i	−0.304682	+	0.175908i
$122$			17.5571i			1.58955i
$123$	−14.6851	−	8.47846i	−1.32411	−	0.764477i
$124$	−1.14314	−	1.14314i	−0.102657	−	0.102657i
$125$	4.19866	+	4.19866i	0.375539	+	0.375539i
$126$	30.7852	+	8.24888i	2.74257	+	0.734869i
$127$	0.908178	−	0.524337i	0.0805878	−	0.0465274i	−0.459165	−	0.888351i	$-0.651851\pi$
$127$	0.908178	−	0.524337i	0.0805878	−	0.0465274i	0.539752	+	0.841824i	$0.318518\pi$
$128$	6.80406	+	11.7850i	0.601400	+	1.04166i
$129$	2.82044	−	2.82044i	0.248326	−	0.248326i
$130$	−0.521467	−	0.903207i	−0.0457357	−	0.0792165i
$131$	16.2703	−	4.35962i	1.42154	−	0.380902i	0.535513	−	0.844527i	$-0.320118\pi$
$131$	16.2703	−	4.35962i	1.42154	−	0.380902i	0.886031	+	0.463626i	$0.153452\pi$
$132$	−4.40665	−	1.18076i	−0.383550	−	0.102772i
$133$	−2.85080	+	10.6393i	−0.247196	+	0.922547i
$134$	−3.66176	−	2.11412i	−0.316328	−	0.182632i
$135$	−2.32699	+	0.623516i	−0.200276	+	0.0536637i
$136$	7.23026	−	7.23026i	0.619990	−	0.619990i
$137$	−1.46118			−0.124837			−0.0624184	−	0.998050i	$-0.519881\pi$
$137$	−1.46118			−0.124837			−0.0624184	+	0.998050i	$0.519881\pi$
$138$	−41.0294			−3.49265
$139$	−10.7840	+	10.7840i	−0.914683	+	0.914683i	−0.996636	−	0.0819534i	$-0.973884\pi$
$139$	−10.7840	+	10.7840i	−0.914683	+	0.914683i	0.0819534	+	0.996636i	$0.473884\pi$
$140$	1.48676	−	0.858383i	0.125654	−	0.0725466i
$141$	−3.27155	−	12.2096i	−0.275514	−	1.02823i
$142$	−0.618616	+	1.07148i	−0.0519131	+	0.0899162i
$143$		−	2.78353i		−	0.232771i
$144$	−10.7702	−	18.6545i	−0.897516	−	1.55454i
$145$	−0.168147			−0.0139639
$146$	−13.2514	−	4.01897i	−1.09669	−	0.332612i
$147$	−34.5967			−2.85349
$148$	−3.14002	−	5.43867i	−0.258108	−	0.447056i
$149$		−	12.5646i		−	1.02933i	−0.857391	−	0.514665i	$-0.827916\pi$
$149$		−	12.5646i		−	1.02933i	0.857391	−	0.514665i	$-0.172084\pi$
$150$	10.2038	−	17.6734i	0.833133	−	1.44303i
$151$	−0.502447	−	1.87516i	−0.0408885	−	0.152598i	0.942463	−	0.334309i	$-0.108503\pi$
$151$	−0.502447	−	1.87516i	−0.0408885	−	0.152598i	−0.983352	+	0.181711i	$0.941836\pi$
$152$	4.78445	−	2.76230i	0.388070	−	0.224052i
$153$	−14.3962	+	14.3962i	−1.16386	+	1.16386i
$154$	19.2038			1.54748
$155$	−1.59233			−0.127899
$156$	−1.25938	+	1.25938i	−0.100831	+	0.100831i
$157$	0.190407	−	0.0510195i	0.0151962	−	0.00407180i	−0.251213	−	0.967932i	$-0.580829\pi$
$157$	0.190407	−	0.0510195i	0.0151962	−	0.00407180i	0.266409	+	0.963860i	$0.414163\pi$
$158$	14.4923	+	8.36711i	1.15294	+	0.665651i
$159$	−4.81207	+	17.9589i	−0.381622	+	1.42423i
$160$	−2.04306	−	0.547435i	−0.161518	−	0.0432785i
$161$	39.8038	−	10.6654i	3.13698	−	0.840550i
$162$	−2.15223	−	3.72777i	−0.169095	−	0.292881i
$163$	−6.75989	+	6.75989i	−0.529476	+	0.529476i	−0.920416	−	0.390940i	$-0.872150\pi$
$163$	−6.75989	+	6.75989i	−0.529476	+	0.529476i	0.390940	+	0.920416i	$0.372150\pi$
$164$	1.94920	+	3.37611i	0.152207	+	0.263630i
$165$	−3.89148	+	2.24675i	−0.302951	+	0.174909i
$166$	−13.8341	−	3.70683i	−1.07373	−	0.287706i
$167$	−7.88173	−	7.88173i	−0.609907	−	0.609907i	0.333015	−	0.942922i	$-0.391934\pi$
$167$	−7.88173	−	7.88173i	−0.609907	−	0.609907i	−0.942922	+	0.333015i	$0.891934\pi$
$168$	19.0381	+	19.0381i	1.46882	+	1.46882i
$169$	10.3172	+	5.95666i	0.793634	+	0.458205i
$170$			4.59633i			0.352522i
$171$	−9.52633	+	5.50003i	−0.728496	+	0.420598i
$172$	−0.885757	+	0.237338i	−0.0675383	+	0.0180968i
$173$		−	1.60541i		−	0.122057i	−0.998136	−	0.0610286i	$-0.980562\pi$
$173$		−	1.60541i		−	0.122057i	0.998136	−	0.0610286i	$-0.0194381\pi$
$174$	0.311484	+	1.16247i	0.0236135	+	0.0881268i
$175$	−5.30483	+	19.7979i	−0.401008	+	1.49658i
$176$	−9.17754	−	9.17754i	−0.691783	−	0.691783i
$177$	5.30111	−	19.7840i	0.398456	−	1.48706i
$178$	−2.09036	+	3.62062i	−0.156679	+	0.271377i
$179$	0.961855	+	3.58969i	0.0718924	+	0.268306i	0.992511	−	0.122158i	$-0.0389814\pi$
$179$	0.961855	+	3.58969i	0.0718924	+	0.268306i	−0.920618	+	0.390464i	$0.872315\pi$
$180$	1.65607	+	0.443743i	0.123436	+	0.0330746i
$181$	−7.78246	−	4.49321i	−0.578466	−	0.333977i	0.182058	−	0.983288i	$-0.441724\pi$
$181$	−7.78246	−	4.49321i	−0.578466	−	0.333977i	−0.760523	+	0.649310i	$0.775058\pi$
$182$	3.74854	−	6.49266i	0.277860	−	0.481268i
$183$	14.7658	−	25.5751i	1.09152	−	1.89056i
$184$	−17.8995	−	10.3343i	−1.31957	−	0.761855i
$185$	−5.97482	−	1.60095i	−0.439278	−	0.117704i
$186$	2.94971	+	11.0085i	0.216283	+	0.807179i
$187$	−6.13367	+	10.6238i	−0.448538	+	0.776891i
$188$	−0.752128	+	2.80698i	−0.0548546	+	0.204720i
$189$	−12.2454	−	12.2454i	−0.890719	−	0.890719i
$190$	−0.642746	+	2.39876i	−0.0466297	+	0.174024i
$191$	3.42276	+	12.7739i	0.247662	+	0.924288i	0.972027	+	0.234871i	$0.0754667\pi$
$191$	3.42276	+	12.7739i	0.247662	+	0.924288i	−0.724364	+	0.689417i	$0.757867\pi$
$192$		−	11.3626i		−	0.820028i
$193$	7.26397	−	1.94637i	0.522872	−	0.140103i	0.0122771	−	0.999925i	$-0.496092\pi$
$193$	7.26397	−	1.94637i	0.522872	−	0.140103i	0.510595	+	0.859822i	$0.329425\pi$
$194$	−2.15423	+	1.24375i	−0.154665	+	0.0892959i
$195$			1.75424i			0.125624i
$196$	6.88818	+	3.97689i	0.492013	+	0.284064i
$197$	−12.9191	−	12.9191i	−0.920446	−	0.920446i	0.0766144	−	0.997061i	$-0.475589\pi$
$197$	−12.9191	−	12.9191i	−0.920446	−	0.920446i	−0.997061	+	0.0766144i	$0.975589\pi$
$198$	13.5611	+	13.5611i	0.963747	+	0.963747i
$199$	10.1045	+	2.70750i	0.716292	+	0.191930i	0.598517	−	0.801110i	$-0.295757\pi$
$199$	10.1045	+	2.70750i	0.716292	+	0.191930i	0.117775	+	0.993040i	$0.462424\pi$
$200$	8.90301	−	5.14015i	0.629538	−	0.363464i
$201$	3.55601	+	6.15918i	0.250821	+	0.434435i
$202$	10.7714	−	10.7714i	0.757874	−	0.757874i
$203$	−0.604358	−	1.04678i	−0.0424176	−	0.0734695i
$204$	7.58172	−	2.03152i	0.530827	−	0.142235i
$205$	3.70893	+	0.993806i	0.259043	+	0.0694104i
$206$	4.88623	−	18.2357i	0.340440	−	1.27054i
$207$	35.6398	+	20.5766i	2.47714	+	1.43018i
$208$	−4.89430	+	1.31142i	−0.339359	+	0.0909309i
$209$	−4.68670	+	4.68670i	−0.324186	+	0.324186i
$210$	−12.1026			−0.835161
$211$	−0.393617			−0.0270977			−0.0135488	−	0.999908i	$-0.504313\pi$
$211$	−0.393617			−0.0270977			−0.0135488	+	0.999908i	$0.504313\pi$
$212$	3.02245	−	3.02245i	0.207583	−	0.207583i
$213$	1.80225	−	1.04053i	0.123488	−	0.0712959i
$214$	0.358990	+	1.33977i	0.0245401	+	0.0915847i
$215$	−0.451606	+	0.782205i	−0.0307993	+	0.0533460i
$216$			8.68595i			0.591004i
$217$	−5.72319	−	9.91286i	−0.388516	−	0.672929i
$218$	−21.2048			−1.43617
$219$	15.9230	+	16.9989i	1.07598	+	1.14868i
$220$	1.03305			0.0696485
$221$	2.39456	+	4.14750i	0.161076	+	0.278991i
$222$			44.2722i			2.97135i
$223$	11.9888	−	20.7653i	0.802832	−	1.39055i	−0.114913	−	0.993376i	$-0.536659\pi$
$223$	11.9888	−	20.7653i	0.802832	−	1.39055i	0.917745	−	0.397170i	$-0.130008\pi$
$224$	−3.93521	−	14.6864i	−0.262932	−	0.981276i
$225$	−17.7268	+	10.2346i	−1.18179	+	0.682305i
$226$	−0.637332	+	0.637332i	−0.0423947	+	0.0423947i
$227$	−2.19646			−0.145784			−0.0728922	−	0.997340i	$-0.523223\pi$
$227$	−2.19646			−0.145784			−0.0728922	+	0.997340i	$0.523223\pi$
$228$	4.24088			0.280859
$229$	14.4402	−	14.4402i	0.954237	−	0.954237i	−0.0447606	−	0.998998i	$-0.514253\pi$
$229$	14.4402	−	14.4402i	0.954237	−	0.954237i	0.998998	+	0.0447606i	$0.0142525\pi$
$230$	8.97422	−	2.40463i	0.591742	−	0.158557i
$231$	−27.9737	−	16.1506i	−1.84053	−	1.06263i
$232$	−0.156910	+	0.585597i	−0.0103017	+	0.0384463i
$233$	25.1584	+	6.74116i	1.64818	+	0.441628i	0.959102	−	0.283060i	$-0.0913495\pi$
$233$	25.1584	+	6.74116i	1.64818	+	0.441628i	0.689077	+	0.724688i	$0.258016\pi$
$234$	7.23202	−	1.93781i	0.472772	−	0.126679i
$235$	1.43115	+	2.47882i	0.0933579	+	0.161701i
$236$	−3.32961	+	3.32961i	−0.216739	+	0.216739i
$237$	−14.0737	−	24.3763i	−0.914185	−	1.58341i
$238$	−28.6139	+	16.5202i	−1.85476	+	1.07085i
$239$	−2.25230	−	0.603503i	−0.145689	−	0.0390374i	0.185237	−	0.982694i	$-0.440695\pi$
$239$	−2.25230	−	0.603503i	−0.145689	−	0.0390374i	−0.330927	+	0.943656i	$0.607361\pi$
$240$	5.78389	+	5.78389i	0.373348	+	0.373348i
$241$	−8.44177	−	8.44177i	−0.543782	−	0.543782i	0.380853	−	0.924636i	$-0.375630\pi$
$241$	−8.44177	−	8.44177i	−0.543782	−	0.543782i	−0.924636	+	0.380853i	$0.875630\pi$
$242$	−5.43184	−	3.13607i	−0.349172	−	0.201594i
$243$			18.9480i			1.21551i
$244$	−5.87970	+	3.39465i	−0.376409	+	0.217320i
$245$	7.56723	−	2.02763i	0.483453	−	0.129541i
$246$		−	27.4824i		−	1.75221i
$247$	0.669706	+	2.49938i	0.0426124	+	0.159032i
$248$	−1.48592	+	5.54552i	−0.0943559	+	0.352141i
$249$	17.0343	+	17.0343i	1.07950	+	1.07950i
$250$	−2.49075	+	9.29559i	−0.157529	+	0.587905i
$251$	−4.46495	+	7.73351i	−0.281825	+	0.488135i	−0.971834	−	0.235665i	$-0.924273\pi$
$251$	−4.46495	+	7.73351i	−0.281825	+	0.488135i	0.690009	+	0.723800i	$0.257606\pi$
$252$	3.18982	+	11.9046i	0.200940	+	0.749918i
$253$	23.9517	+	6.41784i	1.50583	+	0.403486i
$254$	1.47190	+	0.849802i	0.0923553	+	0.0533213i
$255$	3.86557	−	6.69536i	0.242071	−	0.419280i
$256$	−6.85936	+	11.8808i	−0.428710	+	0.742548i
$257$	−11.3713	−	6.56524i	−0.709324	−	0.409529i	0.101486	−	0.994837i	$-0.467640\pi$
$257$	−11.3713	−	6.56524i	−0.709324	−	0.409529i	−0.810811	+	0.585308i	$0.800974\pi$
$258$	6.24429	+	1.67315i	0.388753	+	0.104166i
$259$	−11.5083	−	42.9497i	−0.715094	−	2.66877i
$260$	0.201650	−	0.349268i	0.0125058	−	0.0216607i
$261$	0.312424	−	1.16598i	0.0193386	−	0.0721726i
$262$	19.3039	+	19.3039i	1.19260	+	1.19260i
$263$	−0.402590	+	1.50249i	−0.0248248	+	0.0926473i	−0.977227	−	0.212198i	$-0.931938\pi$
$263$	−0.402590	+	1.50249i	−0.0248248	+	0.0926473i	0.952402	+	0.304845i	$0.0986046\pi$
$264$	4.19321	+	15.6493i	0.258074	+	0.963145i
$265$		−	4.21012i		−	0.258625i
$266$	−17.2434	+	4.62035i	−1.05726	+	0.283292i
$267$	6.08997	−	3.51605i	0.372700	−	0.215179i
$268$		−	1.63505i		−	0.0998766i
$269$	−7.90048	−	4.56134i	−0.481701	−	0.278110i	0.239424	−	0.970915i	$-0.423041\pi$
$269$	−7.90048	−	4.56134i	−0.481701	−	0.278110i	−0.721125	+	0.692805i	$0.756375\pi$
$270$	−2.76086	−	2.76086i	−0.168020	−	0.168020i
$271$	−20.1396	−	20.1396i	−1.22339	−	1.22339i	−0.966418	−	0.256976i	$-0.917274\pi$
$271$	−20.1396	−	20.1396i	−1.22339	−	1.22339i	−0.256976	−	0.966418i	$-0.582726\pi$
$272$	21.5697	+	5.77959i	1.30786	+	0.350439i
$273$	−10.9208	+	6.30514i	−0.660958	+	0.381604i
$274$	−1.18408	−	2.05089i	−0.0715328	−	0.123898i
$275$	−8.72112	+	8.72112i	−0.525904	+	0.525904i
$276$	−7.93298	−	13.7403i	−0.477509	−	0.827070i
$277$	13.5268	−	3.62449i	0.812747	−	0.217775i	0.171574	−	0.985171i	$-0.445115\pi$
$277$	13.5268	−	3.62449i	0.812747	−	0.217775i	0.641173	+	0.767396i	$0.278448\pi$
$278$	−23.8750	−	6.39730i	−1.43193	−	0.383685i
$279$	2.95862	−	11.0417i	0.177128	−	0.661050i
$280$	−5.27991	−	3.04836i	−0.315535	−	0.182174i
$281$	−19.3303	+	5.17955i	−1.15315	+	0.308986i	−0.784227	−	0.620474i	$-0.786940\pi$
$281$	−19.3303	+	5.17955i	−1.15315	+	0.308986i	−0.368924	+	0.929460i	$0.620274\pi$
$282$	14.4860	−	14.4860i	0.862631	−	0.862631i
$283$	17.3689			1.03247			0.516236	−	0.856446i	$-0.327333\pi$
$283$	17.3689			1.03247			0.516236	+	0.856446i	$0.327333\pi$
$284$	−0.478435			−0.0283899
$285$	2.95366	−	2.95366i	0.174960	−	0.174960i
$286$	3.90692	−	2.25566i	0.231021	−	0.133380i
$287$	7.14392	+	26.6615i	0.421692	+	1.57378i
$288$	7.59216	−	13.1500i	0.447373	−	0.774872i
$289$		−	4.10619i		−	0.241540i
$290$	−0.136260	−	0.236008i	−0.00800144	−	0.0138589i
$291$	4.18403			0.245272
$292$	−1.21623	−	5.21482i	−0.0711743	−	0.305174i
$293$	8.23207			0.480923			0.240461	−	0.970659i	$-0.422701\pi$
$293$	8.23207			0.480923			0.240461	+	0.970659i	$0.422701\pi$
$294$	−28.0358	−	48.5594i	−1.63508	−	2.83204i
$295$			4.63797i			0.270033i
$296$	−11.1511	+	19.3142i	−0.648144	+	1.12262i
$297$	−2.69709	−	10.0657i	−0.156501	−	0.584069i
$298$	17.6354	−	10.1818i	1.02159	−	0.589817i
$299$	6.84515	−	6.84515i	0.395865	−	0.395865i
$300$	7.89153			0.455618
$301$	−6.49270			−0.374233
$302$	2.22478	−	2.22478i	0.128022	−	0.128022i
$303$	−24.7494	+	6.63157i	−1.42181	+	0.380974i
$304$	10.4487	+	6.03258i	0.599276	+	0.345992i
$305$	−1.73077	+	6.45933i	−0.0991038	+	0.369860i
$306$	−31.8723	−	8.54017i	−1.82202	−	0.488209i
$307$	−17.4161	+	4.66662i	−0.993987	+	0.266338i	−0.718924	−	0.695088i	$-0.755365\pi$
$307$	−17.4161	+	4.66662i	−0.993987	+	0.266338i	−0.275063	+	0.961426i	$0.588699\pi$
$308$	3.71303	+	6.43115i	0.211569	+	0.366449i
$309$	−22.4541	+	22.4541i	−1.27737	+	1.27737i
$310$	−1.29036	−	2.23497i	−0.0732875	−	0.126938i
$311$	9.70465	−	5.60298i	0.550300	−	0.317716i	−0.198943	−	0.980011i	$-0.563751\pi$
$311$	9.70465	−	5.60298i	0.550300	−	0.317716i	0.749243	+	0.662295i	$0.230417\pi$
$312$	6.10941	+	1.63701i	0.345877	+	0.0926775i
$313$	−10.4829	−	10.4829i	−0.592530	−	0.592530i	0.345784	−	0.938314i	$-0.387613\pi$
$313$	−10.4829	−	10.4829i	−0.592530	−	0.592530i	−0.938314	+	0.345784i	$0.887613\pi$
$314$	0.225908	+	0.225908i	0.0127488	+	0.0127488i
$315$	10.5128	+	6.06959i	0.592332	+	0.341983i
$316$			6.47108i			0.364027i
$317$	−13.1811	+	7.61009i	−0.740322	+	0.427425i	−0.822186	−	0.569219i	$-0.807246\pi$
$317$	−13.1811	+	7.61009i	−0.740322	+	0.427425i	0.0818645	+	0.996643i	$0.473913\pi$
$318$	−29.1063	+	7.79902i	−1.63220	+	0.437347i
$319$		−	0.727338i		−	0.0407231i
$320$	0.665938	+	2.48531i	0.0372271	+	0.138933i
$321$	0.603831	−	2.25353i	0.0337025	−	0.125780i
$322$	47.2251	+	47.2251i	2.63175	+	2.63175i
$323$	2.95147	−	11.0150i	0.164224	−	0.612893i
$324$	0.832261	−	1.44152i	0.0462367	−	0.0800844i
$325$	1.24620	+	4.65090i	0.0691270	+	0.257985i
$326$	−14.9660	−	4.01013i	−0.828891	−	0.222101i
$327$	30.8886	+	17.8335i	1.70814	+	0.986196i
$328$	6.92215	−	11.9895i	0.382212	−	0.662010i
$329$	−10.2877	+	17.8189i	−0.567182	+	0.982387i
$330$	−6.30699	−	3.64134i	−0.347189	−	0.200449i
$331$	26.9905	+	7.23209i	1.48353	+	0.397511i	0.907548	−	0.419949i	$-0.137952\pi$
$331$	26.9905	+	7.23209i	1.48353	+	0.397511i	0.575985	+	0.817460i	$0.304619\pi$
$332$	−1.43342	−	5.34961i	−0.0786693	−	0.293598i
$333$	22.2029	−	38.4566i	1.21671	−	2.10741i
$334$	4.67563	−	17.4497i	0.255839	−	0.954805i
$335$	−1.13877	−	1.13877i	−0.0622176	−	0.0622176i
$336$	−15.2183	+	56.7955i	−0.830226	+	3.09845i
$337$	1.51774	+	5.66429i	0.0826766	+	0.308553i	0.994864	−	0.101220i	$-0.0322745\pi$
$337$	1.51774	+	5.66429i	0.0826766	+	0.308553i	−0.912187	+	0.409773i	$0.865608\pi$
$338$			19.3081i			1.05022i
$339$	1.46439	−	0.392383i	0.0795349	−	0.0213113i
$340$	−1.53926	+	0.888694i	−0.0834783	+	0.0481962i
$341$		−	6.88779i		−	0.372995i
$342$	−15.4395	−	8.91399i	−0.834872	−	0.482014i
$343$	17.8568	+	17.8568i	0.964179	+	0.964179i
$344$	2.30272	+	2.30272i	0.124154	+	0.124154i
$345$	−15.0949	−	4.04466i	−0.812681	−	0.217757i
$346$	2.25333	−	1.30096i	0.121140	−	0.0699401i
$347$	−6.13792	−	10.6312i	−0.329501	−	0.570712i	0.652912	−	0.757434i	$-0.273547\pi$
$347$	−6.13792	−	10.6312i	−0.329501	−	0.570712i	−0.982413	+	0.186722i	$0.940214\pi$
$348$	−0.329075	+	0.329075i	−0.0176403	+	0.0176403i
$349$	0.526240	+	0.911475i	0.0281690	+	0.0487901i	0.879766	−	0.475407i	$-0.157699\pi$
$349$	0.526240	+	0.911475i	0.0281690	+	0.0487901i	−0.851597	+	0.524197i	$0.824366\pi$
$350$	−32.0868	+	8.59764i	−1.71511	+	0.459563i
$351$	−3.92959	−	1.05293i	−0.209746	−	0.0562013i
$352$	2.36799	−	8.83745i	0.126214	−	0.471038i
$353$	−11.1047	−	6.41130i	−0.591044	−	0.341239i	0.174467	−	0.984663i	$-0.444180\pi$
$353$	−11.1047	−	6.41130i	−0.591044	−	0.341239i	−0.765510	+	0.643424i	$0.777513\pi$
$354$	32.0643	−	8.59160i	1.70420	−	0.456638i
$355$	−0.333217	+	0.333217i	−0.0176853	+	0.0176853i
$356$	−1.61668			−0.0856837
$357$	55.5749			2.94134
$358$	−4.25898	+	4.25898i	−0.225094	+	0.225094i
$359$	−13.2169	+	7.63081i	−0.697564	+	0.402739i	−0.806439	−	0.591317i	$-0.798608\pi$
$359$	−13.2169	+	7.63081i	−0.697564	+	0.402739i	0.108876	+	0.994055i	$0.465275\pi$
$360$	−1.57586	−	5.88117i	−0.0830549	−	0.309965i
$361$	−6.41934	+	11.1186i	−0.337860	+	0.585190i
$362$		−	14.5644i		−	0.765490i
$363$	5.27496	+	9.13649i	0.276863	+	0.479541i
$364$	2.89910			0.151954
$365$	−4.47905	−	2.78491i	−0.234444	−	0.145769i
$366$	47.8623			2.50180
$367$	8.65011	+	14.9824i	0.451532	+	0.782076i	0.998481	−	0.0550892i	$-0.0175443\pi$
$367$	8.65011	+	14.9824i	0.451532	+	0.782076i	−0.546949	+	0.837166i	$0.684211\pi$
$368$		−	45.1381i		−	2.35298i
$369$	−13.7827	+	23.8723i	−0.717499	+	1.24274i
$370$	−2.59469	−	9.68351i	−0.134891	−	0.503422i
$371$	26.2096	−	15.1321i	1.36073	−	0.785620i
$372$	−3.11630	+	3.11630i	−0.161573	+	0.161573i
$373$	1.32777			0.0687491			0.0343745	−	0.999409i	$-0.489056\pi$
$373$	1.32777			0.0687491			0.0343745	+	0.999409i	$0.489056\pi$
$374$	−19.8819			−1.02807
$375$	11.4459	−	11.4459i	0.591065	−	0.591065i
$376$	9.96838	−	2.67102i	0.514080	−	0.137747i
$377$	−0.245908	−	0.141975i	−0.0126649	−	0.00731208i
$378$	7.26424	−	27.1105i	0.373632	−	1.39442i
$379$	−15.0250	−	4.02592i	−0.771780	−	0.206798i	−0.148622	−	0.988894i	$-0.547484\pi$
$379$	−15.0250	−	4.02592i	−0.771780	−	0.206798i	−0.623158	+	0.782096i	$0.714151\pi$
$380$	−0.927595	+	0.248548i	−0.0475846	+	0.0127503i
$381$	−1.42939	−	2.47578i	−0.0732299	−	0.126838i
$382$	−15.1556	+	15.1556i	−0.775427	+	0.775427i
$383$	10.3152	+	17.8664i	0.527080	+	0.912929i	0.999502	+	0.0315565i	$0.0100464\pi$
$383$	10.3152	+	17.8664i	0.527080	+	0.912929i	−0.472422	+	0.881372i	$0.656620\pi$
$384$	32.1269	−	18.5485i	1.63947	−	0.946549i
$385$	7.06515	+	1.89310i	0.360073	+	0.0964813i
$386$	8.61832	+	8.61832i	0.438661	+	0.438661i
$387$	−4.58495	−	4.58495i	−0.233066	−	0.233066i
$388$	−0.833037	−	0.480954i	−0.0422911	−	0.0244168i
$389$			16.4139i			0.832219i	0.909315	+	0.416110i	$0.136607\pi$
$389$			16.4139i			0.832219i	−0.909315	+	0.416110i	$0.863393\pi$
$390$	−2.46222	+	1.42157i	−0.124680	+	0.0719838i
$391$	−41.2093	+	11.0420i	−2.08405	+	0.558418i
$392$		−	28.2461i		−	1.42664i
$393$	−11.8847	−	44.3543i	−0.599504	−	2.23738i
$394$	7.66391	−	28.6021i	0.386102	−	1.44095i
$395$	4.50693	+	4.50693i	0.226768	+	0.226768i
$396$	−1.91946	+	7.16351i	−0.0964563	+	0.359980i
$397$	9.04694	−	15.6698i	0.454053	−	0.786442i	−0.544580	−	0.838709i	$-0.683311\pi$
$397$	9.04694	−	15.6698i	0.454053	−	0.786442i	0.998633	+	0.0522662i	$0.0166444\pi$
$398$	4.38810	+	16.3766i	0.219956	+	0.820885i
$399$	29.0038	+	7.77154i	1.45201	+	0.389064i
$400$	19.4432	+	11.2256i	0.972162	+	0.561278i
$401$	3.98656	−	6.90492i	0.199079	−	0.344815i	−0.749151	−	0.662399i	$-0.769538\pi$
$401$	3.98656	−	6.90492i	0.199079	−	0.344815i	0.948230	+	0.317584i	$0.102872\pi$
$402$	−5.76328	+	9.98230i	−0.287446	+	0.497872i
$403$	−2.32871	−	1.34448i	−0.116002	−	0.0669735i
$404$	5.68987	+	1.52460i	0.283082	+	0.0758515i
$405$	−0.424332	−	1.58363i	−0.0210852	−	0.0786910i
$406$	0.979495	−	1.69653i	0.0486115	−	0.0841976i
$407$	6.92508	−	25.8447i	0.343263	−	1.28108i
$408$	−19.7103	−	19.7103i	−0.975808	−	0.975808i
$409$	5.33189	−	19.8989i	0.263645	−	0.983937i	−0.699429	−	0.714702i	$-0.746562\pi$
$409$	5.33189	−	19.8989i	0.263645	−	0.983937i	0.963074	−	0.269235i	$-0.0867709\pi$
$410$	1.61068	+	6.01114i	0.0795458	+	0.296869i
$411$			3.98330i			0.196482i
$412$	7.05169	−	1.88949i	0.347412	−	0.0930887i
$413$	−28.8731	+	16.6699i	−1.42075	+	0.820273i
$414$			66.6979i			3.27802i
$415$	−4.72420	−	2.72752i	−0.231902	−	0.133889i
$416$	−2.52565	−	2.52565i	−0.123830	−	0.123830i
$417$	29.3980	+	29.3980i	1.43963	+	1.43963i
$418$	−10.3761	−	2.78027i	−0.507511	−	0.135987i
$419$	−23.2874	+	13.4450i	−1.13766	+	0.656831i	−0.945851	−	0.324601i	$-0.894770\pi$
$419$	−23.2874	+	13.4450i	−1.13766	+	0.656831i	−0.191813	+	0.981432i	$0.561437\pi$
$420$	−2.34003	−	4.05305i	−0.114182	−	0.197769i
$421$	−17.1208	+	17.1208i	−0.834417	+	0.834417i	−0.988118	−	0.153700i	$-0.950881\pi$
$421$	−17.1208	+	17.1208i	−0.834417	+	0.834417i	0.153700	+	0.988118i	$0.450881\pi$
$422$	−0.318971	−	0.552474i	−0.0155273	−	0.0268940i
$423$	−19.8481	+	5.31827i	−0.965046	+	0.258583i
$424$	−14.6624	−	3.92877i	−0.712067	−	0.190798i
$425$	5.49216	−	20.4970i	0.266409	−	0.994251i
$426$	2.92094	+	1.68640i	0.141520	+	0.0817066i
$427$	−46.4326	+	12.4416i	−2.24703	+	0.602090i
$428$	−0.379265	+	0.379265i	−0.0183325	+	0.0183325i
$429$	−7.58816			−0.366360
$430$	−1.46385			−0.0705933
$431$	15.4771	−	15.4771i	0.745504	−	0.745504i	−0.228127	−	0.973631i	$-0.573260\pi$
$431$	15.4771	−	15.4771i	0.745504	−	0.745504i	0.973631	+	0.228127i	$0.0732603\pi$
$432$	−16.4278	+	9.48460i	−0.790383	+	0.456328i
$433$	−8.26413	−	30.8421i	−0.397149	−	1.48218i	−0.818089	−	0.575091i	$-0.804967\pi$
$433$	−8.26413	−	30.8421i	−0.397149	−	1.48218i	0.420941	−	0.907088i	$-0.361700\pi$
$434$	9.27568	−	16.0660i	0.445247	−	0.771190i
$435$			0.458384i			0.0219778i
$436$	−4.09993	−	7.10128i	−0.196351	−	0.340090i
$437$	−23.0507			−1.10266
$438$	−10.9561	+	36.1245i	−0.523501	+	1.72609i
$439$	28.3763			1.35433			0.677163	−	0.735833i	$-0.263209\pi$
$439$	28.3763			1.35433			0.677163	+	0.735833i	$0.263209\pi$
$440$	−1.83433	−	3.17716i	−0.0874484	−	0.151465i
$441$			56.2409i			2.67814i
$442$	−3.88091	+	6.72193i	−0.184596	+	0.319730i
$443$	2.33833	+	8.72675i	0.111097	+	0.414621i	0.998965	−	0.0454775i	$-0.0144809\pi$
$443$	2.33833	+	8.72675i	0.111097	+	0.414621i	−0.887868	+	0.460098i	$0.847814\pi$
$444$	−14.8263	+	8.55997i	−0.703625	+	0.406238i
$445$	−1.12597	+	1.12597i	−0.0533762	+	0.0533762i
$446$	38.8611			1.84012
$447$	−34.2522			−1.62007
$448$	−13.0785	+	13.0785i	−0.617900	+	0.617900i
$449$	−13.5942	+	3.64255i	−0.641548	+	0.171902i	−0.564905	−	0.825156i	$-0.691087\pi$
$449$	−13.5942	+	3.64255i	−0.641548	+	0.171902i	−0.0766437	+	0.997059i	$0.524420\pi$
$450$	−28.7301	−	16.5874i	−1.35435	−	0.781936i
$451$	−4.29881	+	16.0434i	−0.202423	+	0.755454i
$452$	−0.336664	−	0.0902087i	−0.0158353	−	0.00424306i
$453$	−5.11185	+	1.36972i	−0.240176	+	0.0643549i
$454$	−1.77992	−	3.08292i	−0.0835360	−	0.144689i
$455$	2.01915	−	2.01915i	0.0946590	−	0.0946590i
$456$	−7.53029	−	13.0428i	−0.352638	−	0.610787i
$457$	−13.7473	+	7.93701i	−0.643072	+	0.371278i	−0.785797	−	0.618485i	$-0.787747\pi$
$457$	−13.7473	+	7.93701i	−0.643072	+	0.371278i	0.142725	+	0.989762i	$0.454413\pi$
$458$	31.9698	+	8.56629i	1.49385	+	0.400276i
$459$	12.6778	+	12.6778i	0.591748	+	0.591748i
$460$	2.54044	+	2.54044i	0.118449	+	0.118449i
$461$	−18.2989	−	10.5649i	−0.852263	−	0.492054i	0.00915089	−	0.999958i	$-0.497087\pi$
$461$	−18.2989	−	10.5649i	−0.852263	−	0.492054i	−0.861414	+	0.507904i	$0.830420\pi$
$462$		−	52.3512i		−	2.43560i
$463$	26.2271	−	15.1422i	1.21888	−	0.703720i	0.254200	−	0.967152i	$-0.418188\pi$
$463$	26.2271	−	15.1422i	1.21888	−	0.703720i	0.964678	+	0.263432i	$0.0848545\pi$
$464$	−1.27888	+	0.342676i	−0.0593706	+	0.0159083i
$465$			4.34084i			0.201301i
$466$	10.9255	+	40.7746i	0.506115	+	1.88885i
$467$	−8.46723	+	31.6001i	−0.391817	+	1.46228i	0.435318	+	0.900277i	$0.356636\pi$
$467$	−8.46723	+	31.6001i	−0.391817	+	1.46228i	−0.827135	+	0.562003i	$0.810031\pi$
$468$	2.04726	+	2.04726i	0.0946345	+	0.0946345i
$469$	2.99628	−	11.1823i	0.138355	−	0.516349i
$470$	−2.31949	+	4.01747i	−0.106990	+	0.185312i
$471$	−0.139084	−	0.519068i	−0.00640864	−	0.0239174i
$472$	16.1524	+	4.32803i	0.743476	+	0.199214i
$473$	−3.38351	−	1.95347i	−0.155574	−	0.0898207i
$474$	22.8095	−	39.5072i	1.04767	−	1.81463i
$475$	5.73257	−	9.92910i	0.263028	−	0.455578i
$476$	−11.0649	−	6.38833i	−0.507160	−	0.292809i
$477$	29.1942	+	7.82257i	1.33671	+	0.358171i
$478$	−0.978109	−	3.65035i	−0.0447376	−	0.166963i
$479$	12.5454	−	21.7292i	0.573212	−	0.992832i	−0.423021	−	0.906120i	$-0.639030\pi$
$479$	12.5454	−	21.7292i	0.573212	−	0.992832i	0.996233	−	0.0867125i	$-0.0276362\pi$
$480$	−1.49236	+	5.56955i	−0.0681165	+	0.254214i
$481$	−7.38616	−	7.38616i	−0.336780	−	0.336780i
$482$	5.00786	−	18.6896i	0.228102	−	0.851288i
$483$	−29.0748	−	108.509i	−1.32295	−	4.93732i
$484$		−	2.42542i		−	0.110247i
$485$	−0.915160	+	0.245216i	−0.0415553	+	0.0111347i
$486$	−26.5951	+	15.3547i	−1.20638	+	0.696502i
$487$		−	10.9412i		−	0.495793i	−0.968787	−	0.247896i	$-0.920261\pi$
$487$		−	10.9412i		−	0.495793i	0.968787	−	0.247896i	$-0.0797393\pi$
$488$	20.8805	+	12.0553i	0.945215	+	0.545720i
$489$	18.4281	+	18.4281i	0.833347	+	0.833347i
$490$	8.97813	+	8.97813i	0.405590	+	0.405590i
$491$	−14.6498	−	3.92539i	−0.661134	−	0.177150i	−0.0873765	−	0.996175i	$-0.527848\pi$
$491$	−14.6498	−	3.92539i	−0.661134	−	0.177150i	−0.573758	+	0.819025i	$0.694515\pi$
$492$	9.20358	−	5.31369i	0.414929	−	0.239560i
$493$	0.625700	+	1.08374i	0.0281801	+	0.0488094i
$494$	−2.96538	+	2.96538i	−0.133419	+	0.133419i
$495$	3.65234	+	6.32604i	0.164161	+	0.284335i
$496$	−12.1108	+	3.24509i	−0.543793	+	0.145709i
$497$	−3.27206	−	0.876746i	−0.146772	−	0.0393274i
$498$	−10.1052	+	37.7130i	−0.452823	+	1.68996i
$499$	−22.3291	−	12.8917i	−0.999589	−	0.577113i	−0.0914621	−	0.995809i	$-0.529154\pi$
$499$	−22.3291	−	12.8917i	−0.999589	−	0.577113i	−0.908127	+	0.418696i	$0.862487\pi$
$500$	−3.59458	+	0.963165i	−0.160755	+	0.0430741i
$501$	−21.4863	+	21.4863i	−0.959938	+	0.959938i
$502$	−14.4728			−0.645955
$503$	7.58489			0.338193			0.169097	−	0.985599i	$-0.445915\pi$
$503$	7.58489			0.338193			0.169097	+	0.985599i	$0.445915\pi$
$504$	30.9486	−	30.9486i	1.37856	−	1.37856i
$505$	5.02469	−	2.90100i	0.223596	−	0.129093i
$506$	10.4015	+	38.8189i	0.462403	+	1.72571i
$507$	16.2384	−	28.1257i	0.721172	−	1.24911i
$508$			0.657233i			0.0291600i
$509$	0.401527	+	0.695466i	0.0177974	+	0.0308260i	0.874787	−	0.484508i	$-0.161001\pi$
$509$	0.401527	+	0.695466i	0.0177974	+	0.0308260i	−0.856990	+	0.515334i	$0.827668\pi$
$510$	12.5300			0.554838
$511$	1.23842	−	37.8934i	0.0547844	−	1.67630i
$512$	4.98207			0.220178
$513$	4.84351	+	8.38921i	0.213846	+	0.370392i
$514$		−	21.2808i		−	0.938657i
$515$	3.59533	−	6.22729i	0.158429	−	0.274407i
$516$	0.647004	+	2.41465i	0.0284828	+	0.106299i
$517$	−10.7224	+	6.19059i	−0.471571	+	0.272262i
$518$	50.9576	−	50.9576i	2.23895	−	2.23895i
$519$	−4.37650			−0.192107
$520$	−1.43223			−0.0628075
$521$	−4.54184	+	4.54184i	−0.198981	+	0.198981i	−0.799563	−	0.600582i	$-0.794936\pi$
$521$	−4.54184	+	4.54184i	−0.198981	+	0.198981i	0.600582	+	0.799563i	$0.294936\pi$
$522$	1.88973	−	0.506352i	0.0827113	−	0.0221624i
$523$	12.8260	+	7.40511i	0.560843	+	0.323803i	0.753484	−	0.657467i	$-0.228372\pi$
$523$	12.8260	+	7.40511i	0.560843	+	0.323803i	−0.192641	+	0.981269i	$0.561705\pi$
$524$	−2.73229	+	10.1971i	−0.119361	+	0.445461i
$525$	53.9709	+	14.4615i	2.35548	+	0.631150i
$526$	−2.43511	+	0.652485i	−0.106176	+	0.0284497i
$527$	5.92529	+	10.2629i	0.258110	+	0.447059i
$528$	−25.0188	+	25.0188i	−1.08880	+	1.08880i
$529$	31.6185	+	54.7649i	1.37472	+	2.38108i
$530$	5.90925	−	3.41171i	0.256681	−	0.148195i
$531$	−32.1611	−	8.61755i	−1.39567	−	0.373970i
$532$	−4.88129	−	4.88129i	−0.211631	−	0.211631i
$533$	4.58503	+	4.58503i	0.198600	+	0.198600i
$534$	9.87013	+	5.69852i	0.427122	+	0.246599i
$535$			0.528296i			0.0228402i
$536$	−5.02860	+	2.90326i	−0.217202	+	0.125402i
$537$	9.78582	−	2.62210i	0.422289	−	0.113152i
$538$		−	14.7853i		−	0.637440i
$539$	8.77074	+	32.7329i	0.377783	+	1.40990i
$540$	0.390775	−	1.45839i	0.0168163	−	0.0627592i
$541$	17.4794	+	17.4794i	0.751498	+	0.751498i	0.974759	−	0.223261i	$-0.0716701\pi$
$541$	17.4794	+	17.4794i	0.751498	+	0.751498i	−0.223261	+	0.974759i	$0.571670\pi$
$542$	11.9473	−	44.5879i	0.513180	−	1.91522i
$543$	−12.2489	+	21.2157i	−0.525650	+	0.910453i
$544$	4.07417	+	15.2050i	0.174679	+	0.651909i
$545$	−7.80134	−	2.09036i	−0.334173	−	0.0895413i
$546$	−17.6996	−	10.2189i	−0.757472	−	0.437327i
$547$	−1.75815	+	3.04520i	−0.0751730	+	0.130204i	−0.901162	−	0.433483i	$-0.857284\pi$
$547$	−1.75815	+	3.04520i	−0.0751730	+	0.130204i	0.825988	+	0.563687i	$0.190618\pi$
$548$	0.457881	−	0.793072i	0.0195597	−	0.0338784i
$549$	−41.5752	−	24.0034i	−1.77438	−	1.02444i
$550$	−19.3081	−	5.17358i	−0.823299	−	0.220602i
$551$	0.174994	+	0.653088i	0.00745502	+	0.0278225i
$552$	−28.1722	+	48.7957i	−1.19909	+	2.07688i
$553$	−11.8584	+	44.2563i	−0.504272	+	1.88197i
$554$	16.0488	+	16.0488i	0.681850	+	0.681850i
$555$	−4.36433	+	16.2879i	−0.185256	+	0.691383i
$556$	−2.47382	−	9.23242i	−0.104913	−	0.391542i
$557$		−	13.6811i		−	0.579687i	−0.957074	−	0.289843i	$-0.906397\pi$
$557$		−	13.6811i		−	0.579687i	0.957074	−	0.289843i	$-0.0936032\pi$
$558$	17.8955	−	4.79508i	0.757577	−	0.202992i
$559$	−1.32091	+	0.762628i	−0.0558685	+	0.0322557i
$560$		−	13.3146i		−	0.562644i
$561$	28.9615	+	16.7209i	1.22276	+	0.705959i
$562$	−22.9344	−	22.9344i	−0.967431	−	0.967431i
$563$	31.4663	+	31.4663i	1.32615	+	1.32615i	0.908703	+	0.417443i	$0.137074\pi$
$563$	31.4663	+	31.4663i	1.32615	+	1.32615i	0.417443	+	0.908703i	$0.362926\pi$
$564$	7.65208	+	2.05037i	0.322211	+	0.0863361i
$565$	−0.297305	+	0.171649i	−0.0125077	+	0.00722134i
$566$	14.0750	+	24.3787i	0.591618	+	1.02471i
$567$	8.33353	−	8.33353i	0.349976	−	0.349976i
$568$	0.849529	+	1.47143i	0.0356454	+	0.0617397i
$569$	37.0119	−	9.91730i	1.55162	−	0.415755i	0.621620	−	0.783319i	$-0.286475\pi$
$569$	37.0119	−	9.91730i	1.55162	−	0.415755i	0.929998	+	0.367564i	$0.119808\pi$
$570$	6.53924	+	1.75218i	0.273899	+	0.0733909i
$571$	10.5118	−	39.2305i	0.439904	−	1.64174i	−0.289148	−	0.957284i	$-0.593372\pi$
$571$	10.5118	−	39.2305i	0.439904	−	1.64174i	0.729052	−	0.684459i	$-0.239961\pi$
$572$	1.51080	+	0.872259i	0.0631696	+	0.0364710i
$573$	34.8228	−	9.33075i	1.45475	−	0.389798i
$574$	−31.6325	+	31.6325i	−1.32031	+	1.32031i
$575$	−42.8932			−1.78877
$576$	−18.4713			−0.769636
$577$	−0.659186	+	0.659186i	−0.0274423	+	0.0274423i	−0.720695	−	0.693253i	$-0.756177\pi$
$577$	−0.659186	+	0.659186i	−0.0274423	+	0.0274423i	0.693253	+	0.720695i	$0.256177\pi$
$578$	5.76337	−	3.32749i	0.239725	−	0.138405i
$579$	−5.30599	−	19.8022i	−0.220509	−	0.822953i
$580$	0.0526912	−	0.0912639i	0.00218788	−	0.00378953i
$581$		−	39.2132i		−	1.62684i
$582$	3.39057	+	5.87264i	0.140544	+	0.243429i
$583$	18.2113			0.754235
$584$	−13.8786	+	13.0001i	−0.574300	+	0.537950i
$585$	2.85172			0.117904
$586$	6.67093	+	11.5544i	0.275574	+	0.477308i
$587$			6.59961i			0.272395i	0.990682	+	0.136198i	$0.0434882\pi$
$587$			6.59961i			0.272395i	−0.990682	+	0.136198i	$0.956512\pi$
$588$	10.8414	−	18.7778i	0.447090	−	0.774383i
$589$	1.65717	+	6.18466i	0.0682827	+	0.254834i
$590$	−6.50978	+	3.75843i	−0.268004	+	0.154732i
$591$	−35.2186	+	35.2186i	−1.44870	+	1.44870i
$592$	−48.7056			−2.00179
$593$	24.2471			0.995711			0.497855	−	0.867260i	$-0.334121\pi$
$593$	24.2471			0.995711			0.497855	+	0.867260i	$0.334121\pi$
$594$	11.9424	−	11.9424i	0.490002	−	0.490002i
$595$	−12.1557	+	3.25711i	−0.498336	+	0.133529i
$596$	6.81958	+	3.93728i	0.279341	+	0.161277i
$597$	7.38090	−	27.5459i	0.302080	−	1.12738i
$598$	15.1548	+	4.06071i	0.619724	+	0.166055i
$599$	−43.5821	+	11.6778i	−1.78072	+	0.477142i	−0.990714	−	0.135960i	$-0.956588\pi$
$599$	−43.5821	+	11.6778i	−1.78072	+	0.477142i	−0.790004	+	0.613102i	$0.789921\pi$
$600$	−14.0125	−	24.2704i	−0.572059	−	0.990835i
$601$	−0.270312	+	0.270312i	−0.0110263	+	0.0110263i	−0.712598	−	0.701572i	$-0.752482\pi$
$601$	−0.270312	+	0.270312i	−0.0110263	+	0.0110263i	0.701572	+	0.712598i	$0.252482\pi$
$602$	−5.26142	−	9.11304i	−0.214439	−	0.371420i
$603$	10.0125	−	5.78069i	0.407739	−	0.235408i
$604$	1.17521	+	0.314897i	0.0478188	+	0.0128130i
$605$	−1.68924	−	1.68924i	−0.0686775	−	0.0686775i
$606$	−29.3638	−	29.3638i	−1.19282	−	1.19282i
$607$	10.6491	+	6.14828i	0.432235	+	0.249551i	0.700298	−	0.713850i	$-0.253050\pi$
$607$	10.6491	+	6.14828i	0.432235	+	0.249551i	−0.268063	+	0.963401i	$0.586384\pi$
$608$			8.50501i			0.344924i
$609$	−2.85362	+	1.64754i	−0.115634	+	0.0667615i
$610$	−10.4688	+	2.80510i	−0.423868	+	0.113575i
$611$			4.83356i			0.195545i
$612$	−3.30246	−	12.3250i	−0.133494	−	0.498207i
$613$	−5.65436	+	21.1024i	−0.228378	+	0.852317i	0.752645	+	0.658426i	$0.228777\pi$
$613$	−5.65436	+	21.1024i	−0.228378	+	0.852317i	−0.981023	+	0.193891i	$0.937889\pi$
$614$	−20.6633	−	20.6633i	−0.833901	−	0.833901i
$615$	2.70920	−	10.1109i	0.109246	−	0.407710i
$616$	13.1860	−	22.8388i	0.531279	−	0.920202i
$617$	−5.92480	−	22.1116i	−0.238523	−	0.890181i	−0.976529	−	0.215387i	$-0.930899\pi$
$617$	−5.92480	−	22.1116i	−0.238523	−	0.890181i	0.738005	−	0.674795i	$-0.235768\pi$
$618$	−49.7121	−	13.3203i	−1.99971	−	0.535822i
$619$	12.9858	+	7.49738i	0.521945	+	0.301345i	0.737730	−	0.675096i	$-0.235898\pi$
$619$	12.9858	+	7.49738i	0.521945	+	0.301345i	−0.215785	+	0.976441i	$0.569231\pi$
$620$	0.498979	−	0.864257i	0.0200395	−	0.0347094i
$621$	18.1205	−	31.3856i	0.727150	−	1.25946i
$622$	15.7285	+	9.08086i	0.630656	+	0.364109i
$623$	−11.0566	−	2.96261i	−0.442973	−	0.118694i
$624$	3.57506	+	13.3423i	0.143117	+	0.534120i
$625$	9.71463	−	16.8262i	0.388585	−	0.673049i
$626$	6.21872	−	23.2086i	0.248550	−	0.927602i
$627$	12.7764	+	12.7764i	0.510240	+	0.510240i
$628$	−0.0319753	+	0.119334i	−0.00127595	+	0.00476193i
$629$	11.9147	+	44.4664i	0.475071	+	1.77299i
$630$			19.6742i			0.783839i
$631$	15.5779	−	4.17409i	0.620147	−	0.166168i	0.0649525	−	0.997888i	$-0.479310\pi$
$631$	15.5779	−	4.17409i	0.620147	−	0.166168i	0.555195	+	0.831720i	$0.312644\pi$
$632$	19.9018	−	11.4903i	0.791651	−	0.457060i
$633$			1.07303i			0.0426493i
$634$	−21.3628	−	12.3338i	−0.848424	−	0.489838i
$635$	0.457745	+	0.457745i	0.0181651	+	0.0181651i
$636$	−8.23949	−	8.23949i	−0.326717	−	0.326717i
$637$	12.7788	+	3.42406i	0.506314	+	0.135666i
$638$	1.02088	−	0.589405i	0.0404170	−	0.0233348i
$639$	−1.69150	−	2.92976i	−0.0669146	−	0.115900i
$640$	−5.93994	+	5.93994i	−0.234797	+	0.234797i
$641$	−13.5485	−	23.4668i	−0.535135	−	0.926882i	−0.999157	−	0.0410577i	$-0.986927\pi$
$641$	−13.5485	−	23.4668i	−0.535135	−	0.926882i	0.464021	−	0.885824i	$-0.346406\pi$
$642$	3.65233	−	0.978639i	0.144146	−	0.0386238i
$643$	14.1862	+	3.80119i	0.559450	+	0.149904i	0.527454	−	0.849584i	$-0.323147\pi$
$643$	14.1862	+	3.80119i	0.559450	+	0.149904i	0.0319966	+	0.999488i	$0.489813\pi$
$644$	−6.68430	+	24.9461i	−0.263398	+	0.983015i
$645$	2.13236	+	1.23112i	0.0839617	+	0.0484753i
$646$	17.8523	−	4.78350i	0.702388	−	0.188204i
$647$	−9.18115	+	9.18115i	−0.360948	+	0.360948i	−0.864162	−	0.503214i	$-0.832151\pi$
$647$	−9.18115	+	9.18115i	−0.360948	+	0.360948i	0.503214	+	0.864162i	$0.332151\pi$
$648$	−5.91119			−0.232213
$649$	−20.0621			−0.787504
$650$	−5.51805	+	5.51805i	−0.216436	+	0.216436i
$651$	−27.0234	+	15.6019i	−1.05913	+	0.611488i
$652$	−1.55071	−	5.78732i	−0.0607304	−	0.226649i
$653$	−0.870375	+	1.50753i	−0.0340604	+	0.0589943i	−0.882553	−	0.470213i	$-0.844177\pi$
$653$	−0.870375	+	1.50753i	−0.0340604	+	0.0589943i	0.848493	+	0.529207i	$0.177511\pi$
$654$			57.8063i			2.26040i
$655$	5.19901	+	9.00495i	0.203142	+	0.351852i
$656$	30.2345			1.18046
$657$	27.6337	−	25.8846i	1.07809	−	1.00986i
$658$	−33.3471			−1.30000
$659$	−2.08912	−	3.61846i	−0.0813804	−	0.140955i	0.822463	−	0.568819i	$-0.192600\pi$
$659$	−2.08912	−	3.61846i	−0.0813804	−	0.140955i	−0.903843	+	0.427864i	$0.859266\pi$
$660$		−	2.81620i		−	0.109620i
$661$	−0.151861	+	0.263031i	−0.00590671	+	0.0102307i	−0.868964	−	0.494876i	$-0.835214\pi$
$661$	−0.151861	+	0.263031i	−0.00590671	+	0.0102307i	0.863057	+	0.505107i	$0.168547\pi$
$662$	11.7212	+	43.7440i	0.455556	+	1.70016i
$663$	11.3065	−	6.52779i	0.439107	−	0.253518i
$664$	−13.9075	+	13.9075i	−0.539714	+	0.539714i
$665$	−6.79938			−0.263669
$666$	71.9694			2.78876
$667$	1.78864	−	1.78864i	0.0692564	−	0.0692564i
$668$	6.74776	−	1.80806i	0.261079	−	0.0699558i
$669$	−56.6080	−	32.6827i	−2.18859	−	1.26358i
$670$	0.675545	−	2.52117i	0.0260986	−	0.0974012i
$671$	−27.9405	−	7.48665i	−1.07863	−	0.289019i
$672$	−40.0364	+	10.7277i	−1.54444	+	0.413831i
$673$	−18.4522	−	31.9602i	−0.711281	−	1.23198i	−0.964376	−	0.264534i	$-0.914782\pi$
$673$	−18.4522	−	31.9602i	−0.711281	−	1.23198i	0.253095	−	0.967441i	$-0.418551\pi$
$674$	−6.72038	+	6.72038i	−0.258859	+	0.258859i
$675$	9.01291	+	15.6108i	0.346907	+	0.600861i
$676$	−6.46610	+	3.73320i	−0.248696	+	0.143585i
$677$	29.6162	+	7.93564i	1.13824	+	0.304991i	0.778245	−	0.627961i	$-0.216110\pi$
$677$	29.6162	+	7.93564i	1.13824	+	0.304991i	0.359999	+	0.932953i	$0.382777\pi$
$678$	1.73743	+	1.73743i	0.0667254	+	0.0667254i
$679$	−4.81585	−	4.81585i	−0.184816	−	0.184816i
$680$	5.46636	+	3.15600i	0.209625	+	0.121027i
$681$			5.98776i			0.229451i
$682$	9.66759	−	5.58159i	0.370191	−	0.213730i
$683$	36.4955	−	9.77894i	1.39646	−	0.374181i	0.519389	−	0.854538i	$-0.326160\pi$
$683$	36.4955	−	9.77894i	1.39646	−	0.374181i	0.877073	+	0.480357i	$0.159493\pi$
$684$		−	6.89404i		−	0.263600i
$685$	−0.233452	−	0.871255i	−0.00891975	−	0.0332889i
$686$	−10.5931	+	39.5340i	−0.404447	+	1.50942i
$687$	−39.3654	−	39.3654i	−1.50188	−	1.50188i
$688$	−1.84070	+	6.86960i	−0.0701762	+	0.261901i
$689$	3.55481	−	6.15711i	0.135428	−	0.234567i
$690$	−6.55525	−	24.4645i	−0.249554	−	0.931349i
$691$	−14.7416	−	3.95001i	−0.560798	−	0.150265i	−0.0327250	−	0.999464i	$-0.510419\pi$
$691$	−14.7416	−	3.95001i	−0.560798	−	0.150265i	−0.528073	+	0.849199i	$0.677085\pi$
$692$	0.871358	+	0.503079i	0.0331240	+	0.0191242i
$693$	−26.2547	+	45.4744i	−0.997333	+	1.72743i
$694$	9.94784	−	17.2302i	0.377615	−	0.654048i
$695$	−8.15308	−	4.70719i	−0.309264	−	0.178554i
$696$	1.59639	+	0.427752i	0.0605110	+	0.0162139i
$697$	−7.39619	−	27.6029i	−0.280151	−	1.04554i
$698$	−0.852887	+	1.47724i	−0.0322823	+	0.0559145i
$699$	18.3770	−	68.5840i	0.695083	−	2.59408i
$700$	−9.08321	−	9.08321i	−0.343313	−	0.343313i
$701$	−4.63345	+	17.2923i	−0.175003	+	0.653120i	0.821548	+	0.570139i	$0.193111\pi$
$701$	−4.63345	+	17.2923i	−0.175003	+	0.653120i	−0.996551	+	0.0829809i	$0.973556\pi$
$702$	−1.70651	−	6.36877i	−0.0644079	−	0.240374i
$703$			24.8725i			0.938086i
$704$	−10.7505	+	2.88058i	−0.405174	+	0.108566i
$705$	6.75750	−	3.90144i	0.254502	−	0.146937i
$706$		−	20.7818i		−	0.782134i
$707$	36.1197	+	20.8537i	1.35842	+	0.784285i
$708$	9.07683	+	9.07683i	0.341128	+	0.341128i
$709$	−29.1344	−	29.1344i	−1.09417	−	1.09417i	−0.995079	−	0.0990867i	$-0.968408\pi$
$709$	−29.1344	−	29.1344i	−1.09417	−	1.09417i	−0.0990867	−	0.995079i	$-0.531592\pi$
$710$	−0.737724	−	0.197672i	−0.0276863	−	0.00741851i
$711$	−39.6265	+	22.8784i	−1.48611	+	0.858007i
$712$	2.87064	+	4.97209i	0.107582	+	0.186337i
$713$	16.9382	−	16.9382i	0.634340	−	0.634340i
$714$	45.0356	+	78.0040i	1.68542	+	2.91923i
$715$	1.65973	−	0.444724i	0.0620705	−	0.0166317i
$716$	−2.24976	−	0.602821i	−0.0840774	−	0.0225285i
$717$	−1.64520	+	6.13999i	−0.0614413	+	0.229302i
$718$	−21.4210	−	12.3674i	−0.799423	−	0.461547i
$719$	9.12607	−	2.44532i	0.340345	−	0.0911951i	−0.0845983	−	0.996415i	$-0.526961\pi$
$719$	9.12607	−	2.44532i	0.340345	−	0.0911951i	0.424943	+	0.905220i	$0.360294\pi$
$720$	9.40236	−	9.40236i	0.350405	−	0.350405i
$721$	51.6897			1.92502
$722$	−20.8079			−0.774389
$723$	−23.0130	+	23.0130i	−0.855864	+	0.855864i
$724$	4.87749	−	2.81602i	0.181270	−	0.104656i
$725$	0.325634	+	1.21528i	0.0120937	+	0.0451344i
$726$	−8.54922	+	14.8077i	−0.317291	+	0.549564i
$727$		−	32.1077i		−	1.19081i	−0.803426	−	0.595405i	$-0.796992\pi$
$727$		−	32.1077i		−	1.19081i	0.803426	−	0.595405i	$-0.203008\pi$
$728$	−5.14776	−	8.91619i	−0.190789	−	0.330456i
$729$	43.6862			1.61801
$730$	0.279215	−	8.54350i	0.0103342	−	0.316209i
$731$	6.72197			0.248621
$732$	9.25412	+	16.0286i	0.342042	+	0.592434i
$733$			37.0784i			1.36952i	0.728767	+	0.684761i	$0.240094\pi$
$733$			37.0784i			1.36952i	−0.728767	+	0.684761i	$0.759906\pi$
$734$	−14.0194	+	24.2823i	−0.517465	+	0.896276i
$735$	−5.52751	−	20.6290i	−0.203885	−	0.760911i
$736$	27.5560	−	15.9094i	1.01573	−	0.586430i
$737$	4.92587	−	4.92587i	0.181447	−	0.181447i
$738$	−44.6758			−1.64454
$739$	8.44760			0.310750			0.155375	−	0.987856i	$-0.450341\pi$
$739$	8.44760			0.310750			0.155375	+	0.987856i	$0.450341\pi$
$740$	2.74123	−	2.74123i	0.100770	−	0.100770i
$741$	6.81353	−	1.82568i	0.250301	−	0.0670680i
$742$	42.4783	+	24.5249i	1.55943	+	0.900337i
$743$	−3.54479	+	13.2293i	−0.130046	+	0.485337i	−0.999969	−	0.00784975i	$-0.997501\pi$
$743$	−3.54479	+	13.2293i	−0.130046	+	0.485337i	0.869924	+	0.493187i	$0.164168\pi$
$744$	15.1176	+	4.05075i	0.554238	+	0.148508i
$745$	7.49186	−	2.00744i	0.274481	−	0.0735469i
$746$	1.07597	+	1.86363i	0.0393939	+	0.0682323i
$747$	27.6912	−	27.6912i	1.01317	−	1.01317i
$748$	−3.84414	−	6.65825i	−0.140556	−	0.243450i
$749$	−3.28884	+	1.89881i	−0.120172	+	0.0693811i
$750$	25.3406	+	6.79000i	0.925308	+	0.247936i
$751$	−18.2687	−	18.2687i	−0.666635	−	0.666635i	0.290300	−	0.956936i	$-0.406245\pi$
$751$	−18.2687	−	18.2687i	−0.666635	−	0.666635i	−0.956936	+	0.290300i	$0.906245\pi$
$752$	15.9367	+	15.9367i	0.581150	+	0.581150i
$753$	21.0823	+	12.1718i	0.768280	+	0.443567i
$754$		−	0.460203i		−	0.0167596i
$755$	1.03782	−	0.599187i	0.0377702	−	0.0218066i
$756$	10.4836	−	2.80907i	0.381284	−	0.102165i
$757$			51.9383i			1.88773i	0.330334	+	0.943864i	$0.392839\pi$
$757$			51.9383i			1.88773i	−0.330334	+	0.943864i	$0.607161\pi$
$758$	−6.52489	−	24.3512i	−0.236995	−	0.884476i
$759$	17.4956	−	65.2945i	0.635050	−	2.37004i
$760$	2.41149	+	2.41149i	0.0874738	+	0.0874738i
$761$	−14.1715	+	52.8888i	−0.513717	+	1.91722i	−0.138198	+	0.990405i	$0.544131\pi$
$761$	−14.1715	+	52.8888i	−0.513717	+	1.91722i	−0.375519	+	0.926815i	$0.622536\pi$
$762$	2.31664	−	4.01254i	0.0839230	−	0.145359i
$763$	−15.0265	−	56.0795i	−0.543994	−	2.03022i
$764$	−8.00577	−	2.14514i	−0.289639	−	0.0776084i
$765$	−10.8841	−	6.28392i	−0.393515	−	0.227196i
$766$	−16.7180	+	28.9564i	−0.604044	+	1.04624i
$767$	−3.91607	+	6.78284i	−0.141401	+	0.244914i
$768$	32.3880	+	18.6992i	1.16870	+	0.674751i
$769$	−3.22272	−	0.863524i	−0.116214	−	0.0311395i	0.200243	−	0.979746i	$-0.435827\pi$
$769$	−3.22272	−	0.863524i	−0.116214	−	0.0311395i	−0.316457	+	0.948607i	$0.602493\pi$
$770$	3.06818	+	11.4506i	0.110570	+	0.412651i
$771$	−17.8975	+	30.9993i	−0.644561	+	1.11641i
$772$	−1.21985	+	4.55253i	−0.0439032	+	0.163849i
$773$	−23.1510	−	23.1510i	−0.832685	−	0.832685i	0.155199	−	0.987883i	$-0.450398\pi$
$773$	−23.1510	−	23.1510i	−0.832685	−	0.832685i	−0.987883	+	0.155199i	$0.950398\pi$
$774$	2.71990	−	10.1508i	0.0977648	−	0.364863i
$775$	3.08371	+	11.5085i	0.110770	+	0.413399i
$776$			3.41601i			0.122628i
$777$	−117.085	+	31.3728i	−4.20039	+	1.12549i
$778$	−23.0383	+	13.3012i	−0.825963	+	0.476870i
$779$		−	15.4399i		−	0.553191i
$780$	−0.952136	−	0.549716i	−0.0340920	−	0.0196830i
$781$	−1.44137	−	1.44137i	−0.0515761	−	0.0515761i
$782$	−48.8927	−	48.8927i	−1.74840	−	1.74840i
$783$	−1.02680	−	0.275132i	−0.0366950	−	0.00983240i
$784$	53.4221	−	30.8433i	1.90793	−	1.10155i
$785$	0.0608427	+	0.105383i	0.00217157	+	0.00376127i
$786$	52.6241	−	52.6241i	1.87704	−	1.87704i
$787$	24.7317	+	42.8365i	0.881588	+	1.52696i	0.849575	+	0.527468i	$0.176859\pi$
$787$	24.7317	+	42.8365i	0.881588	+	1.52696i	0.0320135	+	0.999487i	$0.489808\pi$
$788$	11.0604	−	2.96362i	0.394009	−	0.105574i
$789$	4.09591	+	1.09750i	0.145818	+	0.0390719i
$790$	−2.67362	+	9.97809i	−0.0951232	+	0.355005i
$791$	−2.13716	−	1.23389i	−0.0759887	−	0.0438721i
$792$	25.4396	−	6.81653i	0.903958	−	0.242215i
$793$	−7.98512	+	7.98512i	−0.283560	+	0.283560i
$794$	29.3251			1.04071
$795$	−11.4772			−0.407053
$796$	−4.63593	+	4.63593i	−0.164316	+	0.164316i
$797$	37.8977	−	21.8802i	1.34241	−	0.775038i	0.355246	−	0.934773i	$-0.384397\pi$
$797$	37.8977	−	21.8802i	1.34241	−	0.775038i	0.987160	+	0.159735i	$0.0510639\pi$
$798$	12.5955	+	47.0070i	0.445875	+	1.66403i
$799$	10.6510	−	18.4481i	0.376806	−	0.652647i
$800$			15.8263i			0.559545i
$801$	−5.71573	−	9.89994i	−0.201956	−	0.349797i
$802$	12.9222			0.456298
$803$	12.0464	−	19.3746i	0.425109	−	0.683715i
$804$	−4.45730			−0.157197
$805$	12.7189	+	22.0297i	0.448282	+	0.776447i
$806$		−	4.35806i		−	0.153506i
$807$	−12.4346	+	21.5374i	−0.437720	+	0.758153i
$808$	−5.41427	−	20.2063i	−0.190474	−	0.710857i
$809$	−10.0078	+	5.77801i	−0.351856	+	0.203144i	−0.665502	−	0.746396i	$-0.731783\pi$
$809$	−10.0078	+	5.77801i	−0.351856	+	0.203144i	0.313646	+	0.949540i	$0.398449\pi$
$810$	1.87889	−	1.87889i	0.0660175	−	0.0660175i
$811$	46.3299			1.62686			0.813431	−	0.581662i	$-0.197597\pi$
$811$	46.3299			1.62686			0.813431	+	0.581662i	$0.197597\pi$
$812$	0.757537			0.0265843
$813$	−54.9024	+	54.9024i	−1.92551	+	1.92551i
$814$	41.8870	−	11.2236i	1.46814	−	0.393387i
$815$	−5.11074	−	2.95069i	−0.179021	−	0.103358i
$816$	15.7557	−	58.8010i	0.551559	−	2.05845i
$817$	3.50811	+	0.939994i	0.122733	+	0.0328862i
$818$	32.2505	−	8.64149i	1.12761	−	0.302143i
$819$	10.2497	+	17.7530i	0.358154	+	0.620341i
$820$	−1.70165	+	1.70165i	−0.0594241	+	0.0594241i
$821$	21.9792	+	38.0691i	0.767080	+	1.32862i	0.939140	+	0.343535i	$0.111624\pi$
$821$	21.9792	+	38.0691i	0.767080	+	1.32862i	−0.172060	+	0.985086i	$0.555042\pi$
$822$	−5.59090	+	3.22791i	−0.195005	+	0.112586i
$823$	19.9589	+	5.34798i	0.695725	+	0.186419i	0.589315	−	0.807903i	$-0.299398\pi$
$823$	19.9589	+	5.34798i	0.695725	+	0.186419i	0.106410	+	0.994322i	$0.466064\pi$
$824$	−18.3324	−	18.3324i	−0.638640	−	0.638640i
$825$	23.7746	+	23.7746i	0.827724	+	0.827724i
$826$	−46.7952	−	27.0172i	−1.62821	−	0.940050i
$827$			46.6194i			1.62111i	0.585659	+	0.810557i	$0.300836\pi$
$827$			46.6194i			1.62111i	−0.585659	+	0.810557i	$0.699164\pi$
$828$	−22.3365	+	12.8960i	−0.776245	+	0.448166i
$829$	−10.8838	+	2.91629i	−0.378008	+	0.101287i	−0.442820	−	0.896610i	$-0.646022\pi$
$829$	−10.8838	+	2.91629i	−0.378008	+	0.101287i	0.0648118	+	0.997898i	$0.479355\pi$
$830$		−	8.84107i		−	0.306878i
$831$	−9.88070	−	36.8753i	−0.342758	−	1.27919i
$832$	−1.12457	+	4.19695i	−0.0389874	+	0.145503i
$833$	−41.2273	−	41.2273i	−1.42844	−	1.42844i
$834$	−17.4396	+	65.0855i	−0.603885	+	2.25373i
$835$	3.44037	−	5.95890i	0.119059	−	0.206216i
$836$	−1.07512	−	4.01241i	−0.0371839	−	0.138772i
$837$	−9.72370	−	2.60546i	−0.336100	−	0.0900578i
$838$	−37.7423	−	21.7905i	−1.30379	−	0.752742i
$839$	−3.84949	+	6.66752i	−0.132899	+	0.230188i	−0.924793	−	0.380471i	$-0.875762\pi$
$839$	−3.84949	+	6.66752i	−0.132899	+	0.230188i	0.791894	+	0.610659i	$0.209095\pi$
$840$	−8.31010	+	14.3935i	−0.286726	+	0.496624i
$841$	25.0505	+	14.4629i	0.863810	+	0.498721i
$842$	−37.9045	−	10.1565i	−1.30628	−	0.350015i
$843$	14.1199	+	52.6962i	0.486316	+	1.81496i
$844$	0.123345	−	0.213640i	0.00424572	−	0.00735380i
$845$	−1.90339	+	7.10354i	−0.0654786	+	0.244369i
$846$	−23.5487	−	23.5487i	−0.809621	−	0.809621i
$847$	4.44466	−	16.5877i	0.152720	−	0.569960i
$848$	−8.58001	−	32.0210i	−0.294639	−	1.09961i
$849$		−	47.3491i		−	1.62502i
$850$	33.2199	−	8.90124i	1.13943	−	0.305310i
$851$	80.5862	−	46.5264i	2.76246	−	1.59491i
$852$			1.30426i			0.0446831i
$853$	−13.9801	−	8.07141i	−0.478669	−	0.276360i	0.241193	−	0.970477i	$-0.422461\pi$
$853$	−13.9801	−	8.07141i	−0.478669	−	0.276360i	−0.719862	+	0.694118i	$0.755795\pi$
$854$	−55.0899	−	55.0899i	−1.88514	−	1.88514i
$855$	−4.80151	−	4.80151i	−0.164208	−	0.164208i
$856$	1.83987	+	0.492991i	0.0628854	+	0.0168501i
$857$	−13.2293	+	7.63797i	−0.451906	+	0.260908i	−0.708635	−	0.705575i	$-0.750689\pi$
$857$	−13.2293	+	7.63797i	−0.451906	+	0.260908i	0.256729	+	0.966483i	$0.417355\pi$
$858$	−6.14914	−	10.6506i	−0.209928	−	0.363606i
$859$	−18.8406	+	18.8406i	−0.642833	+	0.642833i	−0.951251	−	0.308418i	$-0.900200\pi$
$859$	−18.8406	+	18.8406i	−0.642833	+	0.642833i	0.308418	+	0.951251i	$0.400200\pi$
$860$	−0.283034	−	0.490230i	−0.00965139	−	0.0167167i
$861$	72.6816	−	19.4750i	2.47698	−	0.663705i
$862$	34.2653	+	9.18137i	1.16708	+	0.312719i
$863$	−9.59973	+	35.8267i	−0.326779	+	1.21955i	0.585733	+	0.810504i	$0.300807\pi$
$863$	−9.59973	+	35.8267i	−0.326779	+	1.21955i	−0.912512	+	0.409051i	$0.865860\pi$
$864$	−11.5803	−	6.68592i	−0.393971	−	0.227460i
$865$	0.957258	−	0.256496i	0.0325477	−	0.00872114i
$866$	36.5926	−	36.5926i	1.24347	−	1.24347i
$867$	−11.1938			−0.380163
$868$	7.17377			0.243494
$869$	−19.4952	+	19.4952i	−0.661330	+	0.661330i
$870$	−0.643381	+	0.371456i	−0.0218126	+	0.0125935i
$871$	−0.703881	−	2.62692i	−0.0238501	−	0.0890098i
$872$	−14.5600	+	25.2186i	−0.493064	+	0.854011i
$873$		−	6.80162i		−	0.230200i
$874$	−18.6793	−	32.3536i	−0.631838	−	1.09438i
$875$	−26.3487			−0.890748
$876$	−14.2161	+	3.31554i	−0.480316	+	0.112022i
$877$	−48.1970			−1.62750			−0.813749	−	0.581216i	$-0.802577\pi$
$877$	−48.1970			−1.62750			−0.813749	+	0.581216i	$0.802577\pi$
$878$	22.9950	+	39.8284i	0.776042	+	1.34414i
$879$		−	22.4414i		−	0.756928i
$880$	4.00599	−	6.93858i	0.135042	−	0.233899i
$881$	−13.3152	−	49.6931i	−0.448601	−	1.67420i	−0.706250	−	0.707963i	$-0.749614\pi$
$881$	−13.3152	−	49.6931i	−0.448601	−	1.67420i	0.257649	−	0.966239i	$-0.417052\pi$
$882$	−78.9388	+	45.5753i	−2.65801	+	1.53460i
$883$	−27.9397	+	27.9397i	−0.940247	+	0.940247i	−0.998313	−	0.0580662i	$-0.981507\pi$
$883$	−27.9397	+	27.9397i	−0.940247	+	0.940247i	0.0580662	+	0.998313i	$0.481507\pi$
$884$	−3.00147			−0.100951
$885$	12.6435			0.425008
$886$	−10.3538	+	10.3538i	−0.347844	+	0.347844i
$887$	26.8810	−	7.20275i	0.902577	−	0.241845i	0.222454	−	0.974943i	$-0.428593\pi$
$887$	26.8810	−	7.20275i	0.902577	−	0.241845i	0.680123	+	0.733098i	$0.261927\pi$
$888$	52.6524	+	30.3989i	1.76690	+	1.02012i
$889$	−1.20440	+	4.49488i	−0.0403942	+	0.150753i
$890$	−2.49284	−	0.667954i	−0.0835601	−	0.0223899i
$891$	6.85015	−	1.83549i	0.229489	−	0.0614913i
$892$	7.51374	+	13.0142i	0.251579	+	0.435747i
$893$	8.13839	−	8.13839i	0.272341	−	0.272341i
$894$	−27.7566	−	48.0758i	−0.928318	−	1.60789i
$895$	−1.98675	+	1.14705i	−0.0664096	+	0.0383416i
$896$	−58.3278	−	15.6289i	−1.94860	−	0.522125i
$897$	−18.6605	−	18.6605i	−0.623056	−	0.623056i
$898$	−16.1288	−	16.1288i	−0.538224	−	0.538224i
$899$	−0.608494	−	0.351314i	−0.0202944	−	0.0117170i
$900$		−	12.8286i		−	0.427619i
$901$	−27.1351	+	15.6665i	−0.904001	+	0.521925i
$902$	−26.0018	+	6.96716i	−0.865766	+	0.231981i
$903$			17.6997i			0.589009i
$904$	0.320357	+	1.19559i	0.0106549	+	0.0397646i
$905$	1.43576	−	5.35832i	0.0477262	−	0.178117i
$906$	−6.06494	−	6.06494i	−0.201494	−	0.201494i
$907$	7.59720	−	28.3531i	0.252261	−	0.941450i	−0.717333	−	0.696731i	$-0.754637\pi$
$907$	7.59720	−	28.3531i	0.252261	−	0.941450i	0.969594	−	0.244720i	$-0.0786960\pi$
$908$	0.688292	−	1.19216i	0.0228418	−	0.0395631i
$909$	10.7804	+	40.2329i	0.357562	+	1.33444i
$910$	4.47027	+	1.19781i	0.148188	+	0.0397069i
$911$	28.5847	+	16.5034i	0.947053	+	0.546781i	0.892164	−	0.451711i	$-0.149186\pi$
$911$	28.5847	+	16.5034i	0.947053	+	0.546781i	0.0548885	+	0.998492i	$0.482520\pi$
$912$	16.4454	−	28.4842i	0.544560	−	0.943206i
$913$	11.7982	−	20.4350i	0.390462	−	0.676300i
$914$	−22.2805	−	12.8637i	−0.736973	−	0.425492i
$915$	17.6087	+	4.71825i	0.582127	+	0.155980i
$916$	3.31256	+	12.3627i	0.109450	+	0.408474i
$917$	−37.3728	+	64.7316i	−1.23416	+	2.13763i
$918$	−7.52076	+	28.0679i	−0.248222	+	0.926377i
$919$	39.7190	+	39.7190i	1.31021	+	1.31021i	0.921258	+	0.388951i	$0.127162\pi$
$919$	39.7190	+	39.7190i	1.31021	+	1.31021i	0.388951	+	0.921258i	$0.372838\pi$
$920$	3.30222	−	12.3240i	0.108871	−	0.406312i
$921$	12.7216	+	47.4778i	0.419192	+	1.56445i
$922$		−	34.2453i		−	1.12781i
$923$	−0.768667	+	0.205964i	−0.0253010	+	0.00677938i
$924$	17.5319	−	10.1220i	0.576757	−	0.332991i
$925$			46.2834i			1.52179i
$926$	42.5068	+	24.5413i	1.39686	+	0.806477i
$927$	36.5017	+	36.5017i	1.19887	+	1.19887i
$928$	−0.659954	−	0.659954i	−0.0216641	−	0.0216641i
$929$	−54.3258	−	14.5565i	−1.78237	−	0.477585i	−0.791358	−	0.611353i	$-0.790625\pi$
$929$	−54.3258	−	14.5565i	−1.78237	−	0.477585i	−0.991013	+	0.133769i	$0.957292\pi$
$930$	−6.09273	+	3.51764i	−0.199788	+	0.115348i
$931$	−15.7508	−	27.2811i	−0.516211	−	0.894103i
$932$	−11.5426	+	11.5426i	−0.378090	+	0.378090i
$933$	−15.2742	−	26.4558i	−0.500056	−	0.866123i
$934$	−51.2149	+	13.7230i	−1.67580	+	0.449030i
$935$	−7.31463	−	1.95995i	−0.239214	−	0.0640972i
$936$	2.66115	−	9.93154i	0.0869823	−	0.324622i
$937$	−8.96731	−	5.17728i	−0.292949	−	0.169134i	0.346322	−	0.938116i	$-0.387431\pi$
$937$	−8.96731	−	5.17728i	−0.292949	−	0.169134i	−0.639271	+	0.768981i	$0.720764\pi$
$938$	18.1233	−	4.85612i	0.591746	−	0.158558i
$939$	−28.5774	+	28.5774i	−0.932588	+	0.932588i
$940$	−1.79388			−0.0585100
$941$	45.5810			1.48590			0.742949	−	0.669348i	$-0.233426\pi$
$941$	45.5810			1.48590			0.742949	+	0.669348i	$0.233426\pi$
$942$	0.615847	−	0.615847i	0.0200654	−	0.0200654i
$943$	−50.0247	+	28.8818i	−1.62903	+	0.940520i
$944$	9.45197	+	35.2752i	0.307635	+	1.14811i
$945$	5.34509	−	9.25797i	0.173876	−	0.301162i
$946$		−	6.33205i		−	0.205873i
$947$	6.02790	+	10.4406i	0.195880	+	0.339275i	0.947189	−	0.320676i	$-0.103910\pi$
$947$	6.02790	+	10.4406i	0.195880	+	0.339275i	−0.751308	+	0.659951i	$0.770577\pi$
$948$	17.6408			0.572945
$949$	−4.19898	−	7.85469i	−0.136305	−	0.254974i
$950$	18.5818			0.602872
$951$	20.7458	+	35.9327i	0.672728	+	1.16520i
$952$			45.3735i			1.47056i
$953$	−7.51908	+	13.0234i	−0.243567	+	0.421870i	−0.961728	−	0.274007i	$-0.911651\pi$
$953$	−7.51908	+	13.0234i	−0.243567	+	0.421870i	0.718161	+	0.695877i	$0.244984\pi$
$954$	12.6782	+	47.3156i	0.410472	+	1.53190i
$955$	−7.06983	+	4.08177i	−0.228774	+	0.132083i
$956$	1.03335	−	1.03335i	0.0334209	−	0.0334209i
$957$	−1.98279			−0.0640945
$958$	40.6650			1.31383
$959$	4.58481	−	4.58481i	0.148051	−	0.148051i
$960$	6.77519	−	1.81541i	0.218668	−	0.0585920i
$961$	21.0844	+	12.1731i	0.680143	+	0.392681i
$962$	4.38165	−	16.3525i	0.141270	−	0.527227i
$963$	−3.66336	−	0.981595i	−0.118050	−	0.0316315i
$964$	7.22722	−	1.93653i	0.232773	−	0.0623714i
$965$	2.32112	+	4.02031i	0.0747196	+	0.129418i
$966$	128.740	−	128.740i	4.14214	−	4.14214i
$967$	−9.67712	−	16.7613i	−0.311195	−	0.539006i	0.667426	−	0.744676i	$-0.267396\pi$
$967$	−9.67712	−	16.7613i	−0.311195	−	0.539006i	−0.978621	+	0.205670i	$0.934063\pi$
$968$	−7.45939	+	4.30668i	−0.239754	+	0.138422i
$969$	−30.0280	−	8.04597i	−0.964638	−	0.258474i
$970$	−1.08579	−	1.08579i	−0.0348626	−	0.0348626i
$971$	−35.6337	−	35.6337i	−1.14354	−	1.14354i	−0.987798	−	0.155742i	$-0.950223\pi$
$971$	−35.6337	−	35.6337i	−1.14354	−	1.14354i	−0.155742	−	0.987798i	$-0.549777\pi$
$972$	−10.2842	−	5.93761i	−0.329867	−	0.190449i
$973$		−	67.6747i		−	2.16955i
$974$	15.3569	−	8.86630i	0.492066	−	0.284094i
$975$	12.6788	−	3.39726i	0.406045	−	0.108800i
$976$			52.6552i			1.68545i
$977$	−11.4938	−	42.8953i	−0.367718	−	1.37234i	−0.863699	−	0.504008i	$-0.831858\pi$
$977$	−11.4938	−	42.8953i	−0.367718	−	1.37234i	0.495981	−	0.868333i	$-0.334809\pi$
$978$	−10.9320	+	40.7987i	−0.349566	+	1.30460i
$979$	−4.87051	−	4.87051i	−0.155662	−	0.155662i
$980$	−1.27077	+	4.74259i	−0.0405934	+	0.151497i
$981$	28.9904	−	50.2129i	0.925593	−	1.60317i
$982$	−6.36195	−	23.7431i	−0.203018	−	0.757674i
$983$	−23.5371	−	6.30675i	−0.750717	−	0.201154i	−0.136881	−	0.990588i	$-0.543708\pi$
$983$	−23.5371	−	6.30675i	−0.750717	−	0.201154i	−0.613836	+	0.789434i	$0.710374\pi$
$984$	−32.6845	−	18.8704i	−1.04194	−	0.601567i
$985$	5.63917	−	9.76733i	0.179679	−	0.311213i
$986$	−1.01408	+	1.75644i	−0.0322950	+	0.0559365i
$987$	48.5759	+	28.0453i	1.54619	+	0.892692i
$988$	−1.56643	−	0.419723i	−0.0498347	−	0.0133532i
$989$	−3.51670	−	13.1245i	−0.111824	−	0.417334i
$990$	−5.91942	+	10.2527i	−0.188131	+	0.325853i
$991$	−12.6707	+	47.2877i	−0.402498	+	1.50214i	0.406126	+	0.913817i	$0.366879\pi$
$991$	−12.6707	+	47.2877i	−0.402498	+	1.50214i	−0.808624	+	0.588325i	$0.799787\pi$
$992$	−6.24968	−	6.24968i	−0.198427	−	0.198427i
$993$	19.7153	−	73.5786i	0.625647	−	2.33495i
$994$	−1.42096	−	5.30309i	−0.0450700	−	0.168204i
$995$			6.45760i			0.204720i
$996$	−14.5835	+	3.90764i	−0.462096	+	0.123818i
$997$	−2.04609	+	1.18131i	−0.0648004	+	0.0374126i	−0.532050	−	0.846713i	$-0.678578\pi$
$997$	−2.04609	+	1.18131i	−0.0648004	+	0.0374126i	0.467250	+	0.884125i	$0.345245\pi$
$998$		−	41.7877i		−	1.32277i
$999$	−33.8662	−	19.5527i	−1.07148	−	0.618619i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	73.2.h.a.24.5	✓	20
3.2	odd	2		657.2.be.c.316.1		20
73.17	odd	24		5329.2.a.m.1.3		20
73.56	odd	24		5329.2.a.m.1.4		20
73.70	even	12	inner	73.2.h.a.70.5	yes	20
219.143	odd	12		657.2.be.c.289.1		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
73.2.h.a.24.5	✓	20	1.1	even	1	trivial
73.2.h.a.70.5	yes	20	73.70	even	12	inner
657.2.be.c.289.1		20	219.143	odd	12
657.2.be.c.316.1		20	3.2	odd	2
5329.2.a.m.1.3		20	73.17	odd	24
5329.2.a.m.1.4		20	73.56	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)

\(f(q)\)	\(=\)	\(q+(0.810359 + 1.40358i) q^{2} -2.72609i q^{3} +(-0.313364 + 0.542762i) q^{4} +(0.159770 + 0.596269i) q^{5} +(3.82630 - 2.20911i) q^{6} +(-3.13775 + 3.13775i) q^{7} +2.22569 q^{8} -4.43157 q^{9} +O(q^{10})\)	\(q+(0.810359 + 1.40358i) q^{2} -2.72609i q^{3} +(-0.313364 + 0.542762i) q^{4} +(0.159770 + 0.596269i) q^{5} +(3.82630 - 2.20911i) q^{6} +(-3.13775 + 3.13775i) q^{7} +2.22569 q^{8} -4.43157 q^{9} +(-0.707442 + 0.707442i) q^{10} +(-2.57922 + 0.691101i) q^{11} +(1.47962 + 0.854259i) q^{12} +(-0.269803 + 1.00692i) q^{13} +(-6.94680 - 1.86139i) q^{14} +(1.62548 - 0.435547i) q^{15} +(2.43033 + 4.20946i) q^{16} +(3.24855 - 3.24855i) q^{17} +(-3.59116 - 6.22008i) q^{18} +(2.14965 - 1.24110i) q^{19} +(-0.373698 - 0.100132i) q^{20} +(8.55380 + 8.55380i) q^{21} +(-3.06012 - 3.06012i) q^{22} +(-8.04225 - 4.64319i) q^{23} -6.06743i q^{24} +(4.00012 - 2.30947i) q^{25} +(-1.63193 + 0.437275i) q^{26} +3.90259i q^{27} +(-0.719795 - 2.68631i) q^{28} +(-0.0704997 + 0.263108i) q^{29} +(1.92855 + 1.92855i) q^{30} +(-0.667622 + 2.49160i) q^{31} +(-1.71320 + 2.96735i) q^{32} +(1.88400 + 7.03120i) q^{33} +(7.19211 + 1.92712i) q^{34} +(-2.37226 - 1.36963i) q^{35} +(1.38869 - 2.40529i) q^{36} +(-5.01018 + 8.67788i) q^{37} +(3.48398 + 2.01148i) q^{38} +(2.74495 + 0.735508i) q^{39} +(0.355598 + 1.32711i) q^{40} +(3.11012 - 5.38688i) q^{41} +(-5.07432 + 18.9376i) q^{42} +(1.03461 + 1.03461i) q^{43} +(0.433132 - 1.61647i) q^{44} +(-0.708031 - 2.64241i) q^{45} -15.0506i q^{46} +(4.47879 - 1.20009i) q^{47} +(11.4754 - 6.62531i) q^{48} -12.6910i q^{49} +(6.48306 + 3.74300i) q^{50} +(-8.85585 - 8.85585i) q^{51} +(-0.461971 - 0.461971i) q^{52} +(-6.58779 - 1.76519i) q^{53} +(-5.47761 + 3.16250i) q^{54} +(-0.824164 - 1.42749i) q^{55} +(-6.98365 + 6.98365i) q^{56} +(-3.38335 - 5.86014i) q^{57} +(-0.426425 + 0.114260i) q^{58} +(7.25728 + 1.94458i) q^{59} +(-0.272969 + 1.01874i) q^{60} +(9.38159 + 5.41646i) q^{61} +(-4.03818 + 1.08203i) q^{62} +(13.9052 - 13.9052i) q^{63} +4.16811 q^{64} -0.643501 q^{65} +(-8.34216 + 8.34216i) q^{66} +(-2.25935 + 1.30443i) q^{67} +(0.745212 + 2.78117i) q^{68} +(-12.6578 + 21.9239i) q^{69} -4.43956i q^{70} +(0.381693 + 0.661111i) q^{71} -9.86329 q^{72} +(-6.23564 + 5.84096i) q^{73} -16.2402 q^{74} +(-6.29582 - 10.9047i) q^{75} +1.55567i q^{76} +(5.92446 - 10.2615i) q^{77} +(1.19205 + 4.44880i) q^{78} +(8.94187 - 5.16259i) q^{79} +(-2.12168 + 2.12168i) q^{80} -2.65589 q^{81} +10.0812 q^{82} +(-6.24862 + 6.24862i) q^{83} +(-7.32313 + 1.96223i) q^{84} +(2.45603 + 1.41799i) q^{85} +(-0.613756 + 2.29057i) q^{86} +(0.717258 + 0.192189i) q^{87} +(-5.74055 + 1.53818i) q^{88} +(1.28978 + 2.23396i) q^{89} +(3.13508 - 3.13508i) q^{90} +(-2.31289 - 4.00604i) q^{91} +(5.04030 - 2.91002i) q^{92} +(6.79233 + 1.82000i) q^{93} +(5.31385 + 5.31385i) q^{94} +(1.08348 + 1.08348i) q^{95} +(8.08926 + 4.67034i) q^{96} +1.53481i q^{97} +(17.8128 - 10.2842i) q^{98} +(11.4300 - 3.06266i) 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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