LMFDB - Embedded newform 93.2.f.b.64.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [93,2,Mod(4,93)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(93, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("93.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 93 = 3 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	93.f (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.742608738798$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 3 x^{15} + 13 x^{14} - 28 x^{13} + 90 x^{12} - 119 x^{11} + 382 x^{10} - 356 x^{9} + 1869 x^{8} + \cdots + 81 $ x^16 - 3x^15 + 13x^14 - 28x^13 + 90x^12 - 119x^11 + 382x^10 - 356x^9 + 1869x^8 - 2812x^7 + 5846x^6 - 4987x^5 + 4006x^4 - 1014x^3 + 2493x^2 + 729*x + 81
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			64.3
Root			$-0.133750 - 0.0971754i$ of defining polynomial
Character	$\chi$	$=$	93.64
Dual form			93.2.f.b.16.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.133750 + 0.0971754i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-0.609588 - 1.87612i) q^{4} +3.79477 q^{5} -0.165325 q^{6} +(0.672649 + 2.07020i) q^{7} +(0.202956 - 0.624635i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})$	\(q+(0.133750 + 0.0971754i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-0.609588 - 1.87612i) q^{4} +3.79477 q^{5} -0.165325 q^{6} +(0.672649 + 2.07020i) q^{7} +(0.202956 - 0.624635i) q^{8} +(0.309017 - 0.951057i) q^{9} +(0.507553 + 0.368759i) q^{10} +(-0.567729 - 1.74729i) q^{11} +(1.59592 + 1.15951i) q^{12} +(-4.39127 + 3.19045i) q^{13} +(-0.111205 + 0.342255i) q^{14} +(-3.07004 + 2.23051i) q^{15} +(-3.10400 + 2.25519i) q^{16} +(1.38416 - 4.26000i) q^{17} +(0.133750 - 0.0971754i) q^{18} +(-4.00286 - 2.90825i) q^{19} +(-2.31325 - 7.11944i) q^{20} +(-1.76102 - 1.27945i) q^{21} +(0.0938596 - 0.288870i) q^{22} +(-2.46512 + 7.58684i) q^{23} +(0.202956 + 0.624635i) q^{24} +9.40030 q^{25} -0.897368 q^{26} +(0.309017 + 0.951057i) q^{27} +(3.47390 - 2.52394i) q^{28} +(3.33754 + 2.42486i) q^{29} -0.627369 q^{30} +(-5.56493 - 0.177633i) q^{31} -1.94787 q^{32} +(1.48633 + 1.07988i) q^{33} +(0.599099 - 0.435271i) q^{34} +(2.55255 + 7.85594i) q^{35} -1.97267 q^{36} -0.574944 q^{37} +(-0.252774 - 0.777959i) q^{38} +(1.67732 - 5.16225i) q^{39} +(0.770172 - 2.37035i) q^{40} +(-0.507553 - 0.368759i) q^{41} +(-0.111205 - 0.342255i) q^{42} +(1.01128 + 0.734741i) q^{43} +(-2.93204 + 2.13025i) q^{44} +(1.17265 - 3.60904i) q^{45} +(-1.06696 + 0.775195i) q^{46} +(1.43433 - 1.04210i) q^{47} +(1.18562 - 3.64897i) q^{48} +(1.82984 - 1.32946i) q^{49} +(1.25729 + 0.913478i) q^{50} +(1.38416 + 4.26000i) q^{51} +(8.66252 + 6.29369i) q^{52} +(1.76892 - 5.44418i) q^{53} +(-0.0510881 + 0.157233i) q^{54} +(-2.15440 - 6.63057i) q^{55} +1.42964 q^{56} +4.94781 q^{57} +(0.210760 + 0.648653i) q^{58} +(6.12685 - 4.45142i) q^{59} +(6.05616 + 4.40006i) q^{60} -6.32685 q^{61} +(-0.727050 - 0.564533i) q^{62} +2.17674 q^{63} +(5.94747 + 4.32109i) q^{64} +(-16.6639 + 12.1070i) q^{65} +(0.0938596 + 0.288870i) q^{66} +6.33093 q^{67} -8.83603 q^{68} +(-2.46512 - 7.58684i) q^{69} +(-0.422000 + 1.29878i) q^{70} +(0.761928 - 2.34497i) q^{71} +(-0.531346 - 0.386046i) q^{72} +(-2.86808 - 8.82704i) q^{73} +(-0.0768990 - 0.0558704i) q^{74} +(-7.60500 + 5.52536i) q^{75} +(-3.01612 + 9.28267i) q^{76} +(3.23536 - 2.35063i) q^{77} +(0.725986 - 0.527459i) q^{78} +(-0.169494 + 0.521649i) q^{79} +(-11.7790 + 8.55792i) q^{80} +(-0.809017 - 0.587785i) q^{81} +(-0.0320511 - 0.0986432i) q^{82} +(-0.206650 - 0.150140i) q^{83} +(-1.32691 + 4.08382i) q^{84} +(5.25256 - 16.1657i) q^{85} +(0.0638610 + 0.196544i) q^{86} -4.12542 q^{87} -1.20664 q^{88} +(1.79170 + 5.51429i) q^{89} +(0.507553 - 0.368759i) q^{90} +(-9.55865 - 6.94477i) q^{91} +15.7365 q^{92} +(4.60653 - 3.12728i) q^{93} +0.293109 q^{94} +(-15.1899 - 11.0361i) q^{95} +(1.57586 - 1.14493i) q^{96} +(3.28602 + 10.1133i) q^{97} +0.373933 q^{98} -1.83721 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 3 q^{2} - 4 q^{3} - 9 q^{4} + 6 q^{5} + 2 q^{6} - 7 q^{7} - 2 q^{8} - 4 q^{9}+O(q^{10}) $ 16 * q - 3 * q^2 - 4 * q^3 - 9 * q^4 + 6 * q^5 + 2 * q^6 - 7 * q^7 - 2 * q^8 - 4 * q^9	\( 16 q - 3 q^{2} - 4 q^{3} - 9 q^{4} + 6 q^{5} + 2 q^{6} - 7 q^{7} - 2 q^{8} - 4 q^{9} - 3 q^{10} + 10 q^{11} - 4 q^{12} - 3 q^{13} - 4 q^{14} - 4 q^{15} - 17 q^{16} - q^{17} - 3 q^{18} - 4 q^{19} + 7 q^{20} + 8 q^{21} + 10 q^{22} + 7 q^{23} - 2 q^{24} + 30 q^{25} - 16 q^{26} - 4 q^{27} + 9 q^{28} - 2 q^{29} + 12 q^{30} - 13 q^{31} + 108 q^{32} - 5 q^{33} - 4 q^{34} - 33 q^{35} + 26 q^{36} - 28 q^{37} - 62 q^{38} + 7 q^{39} - 27 q^{40} + 3 q^{41} - 4 q^{42} - 13 q^{43} - 64 q^{44} + q^{45} - q^{46} - 20 q^{47} - 2 q^{48} + q^{49} - 44 q^{50} - q^{51} + 88 q^{52} - 4 q^{53} + 2 q^{54} - 8 q^{55} + 104 q^{56} - 14 q^{57} - 31 q^{58} + 49 q^{59} - 8 q^{60} - 13 q^{62} - 2 q^{63} - 26 q^{64} - q^{65} + 10 q^{66} + 60 q^{67} - 30 q^{68} + 7 q^{69} + 85 q^{70} + 23 q^{71} - 7 q^{72} - 17 q^{73} + 70 q^{74} - 5 q^{75} + 7 q^{76} + 2 q^{77} + 19 q^{78} - 13 q^{79} - 94 q^{80} - 4 q^{81} - 9 q^{82} - 49 q^{83} - 6 q^{84} - 4 q^{85} + 24 q^{86} - 2 q^{87} - 32 q^{88} + 3 q^{89} - 3 q^{90} - 2 q^{91} - 70 q^{92} + 17 q^{93} + 74 q^{94} - 10 q^{95} - 32 q^{96} + 3 q^{97} - 82 q^{98} - 10 q^{99}+O(q^{100}) \) 16 * q - 3 * q^2 - 4 * q^3 - 9 * q^4 + 6 * q^5 + 2 * q^6 - 7 * q^7 - 2 * q^8 - 4 * q^9 - 3 * q^10 + 10 * q^11 - 4 * q^12 - 3 * q^13 - 4 * q^14 - 4 * q^15 - 17 * q^16 - q^17 - 3 * q^18 - 4 * q^19 + 7 * q^20 + 8 * q^21 + 10 * q^22 + 7 * q^23 - 2 * q^24 + 30 * q^25 - 16 * q^26 - 4 * q^27 + 9 * q^28 - 2 * q^29 + 12 * q^30 - 13 * q^31 + 108 * q^32 - 5 * q^33 - 4 * q^34 - 33 * q^35 + 26 * q^36 - 28 * q^37 - 62 * q^38 + 7 * q^39 - 27 * q^40 + 3 * q^41 - 4 * q^42 - 13 * q^43 - 64 * q^44 + q^45 - q^46 - 20 * q^47 - 2 * q^48 + q^49 - 44 * q^50 - q^51 + 88 * q^52 - 4 * q^53 + 2 * q^54 - 8 * q^55 + 104 * q^56 - 14 * q^57 - 31 * q^58 + 49 * q^59 - 8 * q^60 - 13 * q^62 - 2 * q^63 - 26 * q^64 - q^65 + 10 * q^66 + 60 * q^67 - 30 * q^68 + 7 * q^69 + 85 * q^70 + 23 * q^71 - 7 * q^72 - 17 * q^73 + 70 * q^74 - 5 * q^75 + 7 * q^76 + 2 * q^77 + 19 * q^78 - 13 * q^79 - 94 * q^80 - 4 * q^81 - 9 * q^82 - 49 * q^83 - 6 * q^84 - 4 * q^85 + 24 * q^86 - 2 * q^87 - 32 * q^88 + 3 * q^89 - 3 * q^90 - 2 * q^91 - 70 * q^92 + 17 * q^93 + 74 * q^94 - 10 * q^95 - 32 * q^96 + 3 * q^97 - 82 * q^98 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/93\mathbb{Z}\right)^\times$.

$n$	$32$	$34$
$\chi(n)$	$1$	$e\left(\frac{4}{5}\right)$

Coefficient data

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

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

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

$2$	0.133750	+	0.0971754i	0.0945759	+	0.0687134i	0.634068	−	0.773277i	$-0.281384\pi$
$2$	0.133750	+	0.0971754i	0.0945759	+	0.0687134i	−0.539492	+	0.841990i	$0.681384\pi$
$3$	−0.809017	+	0.587785i	−0.467086	+	0.339358i
$3$	−0.809017	+	0.587785i	−0.467086	+	0.339358i
$4$	−0.609588	−	1.87612i	−0.304794	−	0.938059i
$5$	3.79477			1.69707			0.848537	−	0.529136i	$-0.177484\pi$
$5$	3.79477			1.69707			0.848537	+	0.529136i	$0.177484\pi$
$6$	−0.165325			−0.0674935
$7$	0.672649	+	2.07020i	0.254237	+	0.782463i	0.993979	+	0.109571i	$0.0349478\pi$
$7$	0.672649	+	2.07020i	0.254237	+	0.782463i	−0.739741	+	0.672891i	$0.765052\pi$
$8$	0.202956	−	0.624635i	0.0717558	−	0.220842i
$9$	0.309017	−	0.951057i	0.103006	−	0.317019i
$10$	0.507553	+	0.368759i	0.160502	+	0.116612i
$11$	−0.567729	−	1.74729i	−0.171177	−	0.526828i	0.828262	−	0.560342i	$-0.189330\pi$
$11$	−0.567729	−	1.74729i	−0.171177	−	0.526828i	−0.999438	+	0.0335139i	$0.989330\pi$
$12$	1.59592	+	1.15951i	0.460703	+	0.334720i
$13$	−4.39127	+	3.19045i	−1.21792	+	0.884871i	−0.995926	−	0.0901774i	$-0.971257\pi$
$13$	−4.39127	+	3.19045i	−1.21792	+	0.884871i	−0.221994	+	0.975048i	$0.571257\pi$
$14$	−0.111205	+	0.342255i	−0.0297209	+	0.0914716i
$15$	−3.07004	+	2.23051i	−0.792680	+	0.575916i
$16$	−3.10400	+	2.25519i	−0.776000	+	0.563797i
$17$	1.38416	−	4.26000i	0.335708	−	1.03320i	−0.630665	−	0.776055i	$-0.717218\pi$
$17$	1.38416	−	4.26000i	0.335708	−	1.03320i	0.966372	−	0.257146i	$-0.0827822\pi$
$18$	0.133750	−	0.0971754i	0.0315253	−	0.0229045i
$19$	−4.00286	−	2.90825i	−0.918319	−	0.667198i	0.0247858	−	0.999693i	$-0.492110\pi$
$19$	−4.00286	−	2.90825i	−0.918319	−	0.667198i	−0.943105	+	0.332495i	$0.892110\pi$
$20$	−2.31325	−	7.11944i	−0.517258	−	1.59196i
$21$	−1.76102	−	1.27945i	−0.384286	−	0.279200i
$22$	0.0938596	−	0.288870i	0.0200109	−	0.0615873i
$23$	−2.46512	+	7.58684i	−0.514012	+	1.58197i	0.271060	+	0.962562i	$0.412626\pi$
$23$	−2.46512	+	7.58684i	−0.514012	+	1.58197i	−0.785072	+	0.619404i	$0.787374\pi$
$24$	0.202956	+	0.624635i	0.0414283	+	0.127503i
$25$	9.40030			1.88006
$26$	−0.897368			−0.175988
$27$	0.309017	+	0.951057i	0.0594703	+	0.183031i
$28$	3.47390	−	2.52394i	0.656506	−	0.476980i
$29$	3.33754	+	2.42486i	0.619765	+	0.450286i	0.852839	−	0.522173i	$-0.174879\pi$
$29$	3.33754	+	2.42486i	0.619765	+	0.450286i	−0.233074	+	0.972459i	$0.574879\pi$
$30$	−0.627369			−0.114541
$31$	−5.56493	−	0.177633i	−0.999491	−	0.0319039i
$31$	−5.56493	−	0.177633i	−0.999491	−	0.0319039i
$32$	−1.94787			−0.344338
$33$	1.48633	+	1.07988i	0.258738	+	0.187984i
$34$	0.599099	−	0.435271i	0.102745	−	0.0746483i
$35$	2.55255	+	7.85594i	0.431460	+	1.32790i
$36$	−1.97267			−0.328778
$37$	−0.574944			−0.0945201			−0.0472601	−	0.998883i	$-0.515049\pi$
$37$	−0.574944			−0.0945201			−0.0472601	+	0.998883i	$0.515049\pi$
$38$	−0.252774	−	0.777959i	−0.0410054	−	0.126202i
$39$	1.67732	−	5.16225i	0.268586	−	0.826622i
$40$	0.770172	−	2.37035i	0.121775	−	0.374785i
$41$	−0.507553	−	0.368759i	−0.0792664	−	0.0575904i	0.547446	−	0.836841i	$-0.315600\pi$
$41$	−0.507553	−	0.368759i	−0.0792664	−	0.0575904i	−0.626713	+	0.779250i	$0.715600\pi$
$42$	−0.111205	−	0.342255i	−0.0171594	−	0.0528111i
$43$	1.01128	+	0.734741i	0.154219	+	0.112047i	0.662219	−	0.749310i	$-0.269615\pi$
$43$	1.01128	+	0.734741i	0.154219	+	0.112047i	−0.508000	+	0.861357i	$0.669615\pi$
$44$	−2.93204	+	2.13025i	−0.442022	+	0.321148i
$45$	1.17265	−	3.60904i	0.174808	−	0.538004i
$46$	−1.06696	+	0.775195i	−0.157315	+	0.114296i
$47$	1.43433	−	1.04210i	0.209218	−	0.152006i	−0.478242	−	0.878228i	$-0.658726\pi$
$47$	1.43433	−	1.04210i	0.209218	−	0.152006i	0.687460	+	0.726222i	$0.258726\pi$
$48$	1.18562	−	3.64897i	0.171130	−	0.526683i
$49$	1.82984	−	1.32946i	0.261406	−	0.189923i
$50$	1.25729	+	0.913478i	0.177808	+	0.129185i
$51$	1.38416	+	4.26000i	0.193821	+	0.596519i
$52$	8.66252	+	6.29369i	1.20128	+	0.872778i
$53$	1.76892	−	5.44418i	0.242980	−	0.747816i	−0.752982	−	0.658041i	$-0.771385\pi$
$53$	1.76892	−	5.44418i	0.242980	−	0.747816i	0.995962	−	0.0897746i	$-0.0286147\pi$
$54$	−0.0510881	+	0.157233i	−0.00695221	+	0.0213967i
$55$	−2.15440	−	6.63057i	−0.290500	−	0.894066i
$56$	1.42964			0.191043
$57$	4.94781			0.655353
$58$	0.210760	+	0.648653i	0.0276742	+	0.0851723i
$59$	6.12685	−	4.45142i	0.797648	−	0.579525i	−0.112575	−	0.993643i	$-0.535910\pi$
$59$	6.12685	−	4.45142i	0.797648	−	0.579525i	0.910223	+	0.414118i	$0.135910\pi$
$60$	6.05616	+	4.40006i	0.781847	+	0.568045i
$61$	−6.32685			−0.810070			−0.405035	−	0.914301i	$-0.632741\pi$
$61$	−6.32685			−0.810070			−0.405035	+	0.914301i	$0.632741\pi$
$62$	−0.727050	−	0.564533i	−0.0923355	−	0.0716957i
$63$	2.17674			0.274243
$64$	5.94747	+	4.32109i	0.743434	+	0.540136i
$65$	−16.6639	+	12.1070i	−2.06690	+	1.50169i
$66$	0.0938596	+	0.288870i	0.0115533	+	0.0355575i
$67$	6.33093			0.773446			0.386723	−	0.922196i	$-0.373607\pi$
$67$	6.33093			0.773446			0.386723	+	0.922196i	$0.373607\pi$
$68$	−8.83603			−1.07153
$69$	−2.46512	−	7.58684i	−0.296765	−	0.913349i
$70$	−0.422000	+	1.29878i	−0.0504386	+	0.155234i
$71$	0.761928	−	2.34497i	0.0904242	−	0.278297i	−0.895610	−	0.444840i	$-0.853260\pi$
$71$	0.761928	−	2.34497i	0.0904242	−	0.278297i	0.986034	+	0.166543i	$0.0532605\pi$
$72$	−0.531346	−	0.386046i	−0.0626197	−	0.0454959i
$73$	−2.86808	−	8.82704i	−0.335683	−	1.03313i	−0.966385	−	0.257101i	$-0.917233\pi$
$73$	−2.86808	−	8.82704i	−0.335683	−	1.03313i	0.630701	−	0.776026i	$-0.282767\pi$
$74$	−0.0768990	−	0.0558704i	−0.00893932	−	0.00649480i
$75$	−7.60500	+	5.52536i	−0.878150	+	0.638013i
$76$	−3.01612	+	9.28267i	−0.345973	+	1.06480i
$77$	3.23536	−	2.35063i	0.368703	−	0.267879i
$78$	0.725986	−	0.527459i	0.0822017	−	0.0597230i
$79$	−0.169494	+	0.521649i	−0.0190696	+	0.0586901i	−0.960138	−	0.279525i	$-0.909823\pi$
$79$	−0.169494	+	0.521649i	−0.0190696	+	0.0586901i	0.941069	+	0.338215i	$0.109823\pi$
$80$	−11.7790	+	8.55792i	−1.31693	+	0.956805i
$81$	−0.809017	−	0.587785i	−0.0898908	−	0.0653095i
$82$	−0.0320511	−	0.0986432i	−0.00353946	−	0.0108933i
$83$	−0.206650	−	0.150140i	−0.0226827	−	0.0164800i	0.576386	−	0.817177i	$-0.304462\pi$
$83$	−0.206650	−	0.150140i	−0.0226827	−	0.0164800i	−0.599069	+	0.800698i	$0.704462\pi$
$84$	−1.32691	+	4.08382i	−0.144778	+	0.445581i
$85$	5.25256	−	16.1657i	0.569720	−	1.75342i
$86$	0.0638610	+	0.196544i	0.00688631	+	0.0211939i
$87$	−4.12542			−0.442292
$88$	−1.20664			−0.128629
$89$	1.79170	+	5.51429i	0.189920	+	0.584514i	0.999998	−	0.00180792i	$-0.000575478\pi$
$89$	1.79170	+	5.51429i	0.189920	+	0.584514i	−0.810078	+	0.586322i	$0.800575\pi$
$90$	0.507553	−	0.368759i	0.0535007	−	0.0388706i
$91$	−9.55865	−	6.94477i	−1.00202	−	0.728009i
$92$	15.7365			1.64065
$93$	4.60653	−	3.12728i	0.477675	−	0.324283i
$94$	0.293109			0.0302319
$95$	−15.1899	−	11.0361i	−1.55846	−	1.13228i
$96$	1.57586	−	1.14493i	0.160836	−	0.116854i
$97$	3.28602	+	10.1133i	0.333645	+	1.02685i	0.967386	+	0.253308i	$0.0815187\pi$
$97$	3.28602	+	10.1133i	0.333645	+	1.02685i	−0.633741	+	0.773546i	$0.718481\pi$
$98$	0.373933			0.0377729
$99$	−1.83721			−0.184647
$100$	−5.73031	−	17.6361i	−0.573031	−	1.76361i
$101$	−3.47541	+	10.6962i	−0.345816	+	1.06431i	0.615329	+	0.788270i	$0.289023\pi$
$101$	−3.47541	+	10.6962i	−0.345816	+	1.06431i	−0.961145	+	0.276043i	$0.910977\pi$
$102$	−0.228835	+	0.704283i	−0.0226581	+	0.0697344i
$103$	9.73489	+	7.07281i	0.959207	+	0.696905i	0.952966	−	0.303076i	$-0.0980136\pi$
$103$	9.73489	+	7.07281i	0.959207	+	0.696905i	0.00624039	+	0.999981i	$0.498014\pi$
$104$	1.10163	+	3.39046i	0.108024	+	0.332462i
$105$	−6.68266	−	4.85524i	−0.652161	−	0.473823i
$106$	0.765634	−	0.556266i	0.0743650	−	0.0540293i
$107$	1.54830	−	4.76518i	0.149680	−	0.460668i	−0.847903	−	0.530151i	$-0.822135\pi$
$107$	1.54830	−	4.76518i	0.149680	−	0.460668i	0.997583	+	0.0694835i	$0.0221351\pi$
$108$	1.59592	−	1.15951i	0.153568	−	0.111573i
$109$	−11.7112	+	8.50871i	−1.12173	+	0.814987i	−0.984471	−	0.175548i	$-0.943830\pi$
$109$	−11.7112	+	8.50871i	−1.12173	+	0.814987i	−0.137262	+	0.990535i	$0.543830\pi$
$110$	0.356176	−	1.09620i	0.0339600	−	0.104518i
$111$	0.465139	−	0.337943i	0.0441491	−	0.0320762i
$112$	−6.75659	−	4.90895i	−0.638438	−	0.463852i
$113$	1.03361	+	3.18113i	0.0972341	+	0.299256i	0.987829	−	0.155541i	$-0.0497120\pi$
$113$	1.03361	+	3.18113i	0.0972341	+	0.299256i	−0.890595	+	0.454797i	$0.849712\pi$
$114$	0.661772	+	0.480805i	0.0619806	+	0.0450315i
$115$	−9.35455	+	28.7903i	−0.872316	+	2.68471i
$116$	2.51481	−	7.73978i	0.233494	−	0.718621i
$117$	1.67732	+	5.16225i	0.155068	+	0.477250i
$118$	1.25204			0.115259
$119$	9.75011			0.893791
$120$	0.770172	+	2.37035i	0.0703068	+	0.216382i
$121$	6.16848	−	4.48166i	0.560771	−	0.407424i
$122$	−0.846218	−	0.614814i	−0.0766130	−	0.0556626i
$123$	0.627369			0.0565680
$124$	3.05905	+	10.5488i	0.274711	+	0.947306i
$125$	16.6981			1.49353
$126$	0.291140	+	0.211525i	0.0259368	+	0.0188442i
$127$	0.301959	−	0.219386i	0.0267946	−	0.0194674i	−0.574307	−	0.818640i	$-0.694729\pi$
$127$	0.301959	−	0.219386i	0.0267946	−	0.0194674i	0.601102	+	0.799172i	$0.294729\pi$
$128$	1.57942	+	4.86096i	0.139603	+	0.429653i
$129$	−1.25002			−0.110058
$130$	−3.40531			−0.298665
$131$	−6.67754	−	20.5514i	−0.583419	−	1.79558i	−0.605527	−	0.795825i	$-0.707038\pi$
$131$	−6.67754	−	20.5514i	−0.583419	−	1.79558i	0.0221075	−	0.999756i	$-0.492962\pi$
$132$	1.11994	−	3.44682i	0.0974783	−	0.300007i
$133$	3.32814	−	10.2430i	0.288586	−	0.888177i
$134$	0.846765	+	0.615211i	0.0731494	+	0.0531461i
$135$	1.17265	+	3.60904i	0.100926	+	0.310617i
$136$	−2.38002	−	1.72919i	−0.204085	−	0.148276i
$137$	17.8926	−	12.9997i	1.52867	−	1.11064i	0.571691	−	0.820469i	$-0.306288\pi$
$137$	17.8926	−	12.9997i	1.52867	−	1.11064i	0.956975	−	0.290171i	$-0.0937123\pi$
$138$	0.407544	−	1.25429i	0.0346925	−	0.106772i
$139$	8.05487	−	5.85221i	0.683205	−	0.496378i	−0.191214	−	0.981548i	$-0.561242\pi$
$139$	8.05487	−	5.85221i	0.683205	−	0.496378i	0.874420	+	0.485171i	$0.161242\pi$
$140$	13.1827	−	9.57777i	1.11414	−	0.809470i
$141$	−0.547865	+	1.68615i	−0.0461385	+	0.142000i
$142$	0.329782	−	0.239601i	0.0276747	−	0.0201068i
$143$	8.06769	+	5.86152i	0.674654	+	0.490165i
$144$	1.18562	+	3.64897i	0.0988018	+	0.304081i
$145$	12.6652	+	9.20180i	1.05179	+	0.764168i
$146$	0.474164	−	1.45933i	0.0392421	−	0.120775i
$147$	−0.698938	+	2.15111i	−0.0576474	+	0.177420i
$148$	0.350479	+	1.07866i	0.0288092	+	0.0886655i
$149$	8.30109			0.680052			0.340026	−	0.940416i	$-0.389564\pi$
$149$	8.30109			0.680052			0.340026	+	0.940416i	$0.389564\pi$
$150$	−1.55410			−0.126892
$151$	2.28135	+	7.02129i	0.185654	+	0.571384i	0.999959	−	0.00905290i	$-0.00288167\pi$
$151$	2.28135	+	7.02129i	0.185654	+	0.571384i	−0.814305	+	0.580437i	$0.802882\pi$
$152$	−2.62900	+	1.91008i	−0.213240	+	0.154928i
$153$	−3.62377	−	2.63282i	−0.292965	−	0.212851i
$154$	0.661154			0.0532773
$155$	−21.1176	−	0.674078i	−1.69621	−	0.0541433i
$156$	−10.7075			−0.857283
$157$	−13.4937	−	9.80377i	−1.07692	−	0.782426i	−0.0997745	−	0.995010i	$-0.531812\pi$
$157$	−13.4937	−	9.80377i	−1.07692	−	0.782426i	−0.977143	+	0.212584i	$0.931812\pi$
$158$	−0.0733613	+	0.0533001i	−0.00583631	+	0.00424033i
$159$	1.76892	+	5.44418i	0.140285	+	0.431752i
$160$	−7.39172			−0.584367
$161$	−17.3645			−1.36851
$162$	−0.0510881	−	0.157233i	−0.00401386	−	0.0123534i
$163$	1.29023	−	3.97093i	0.101059	−	0.311027i	−0.887726	−	0.460371i	$-0.847716\pi$
$163$	1.29023	−	3.97093i	0.101059	−	0.311027i	0.988785	+	0.149344i	$0.0477163\pi$
$164$	−0.382437	+	1.17702i	−0.0298633	+	0.0919098i
$165$	5.64030	+	4.09792i	0.439097	+	0.319022i
$166$	−0.0130496	−	0.0401625i	−0.00101284	−	0.00311722i
$167$	7.23255	+	5.25476i	0.559672	+	0.406625i	0.831339	−	0.555766i	$-0.187575\pi$
$167$	7.23255	+	5.25476i	0.559672	+	0.406625i	−0.271667	+	0.962391i	$0.587575\pi$
$168$	−1.15660	+	0.840320i	−0.0892337	+	0.0648321i
$169$	5.08711	−	15.6565i	0.391316	−	1.20435i
$170$	2.27344	−	1.65175i	0.174365	−	0.126684i
$171$	−4.00286	+	2.90825i	−0.306106	+	0.222399i
$172$	0.761995	−	2.34518i	0.0581015	−	0.178818i
$173$	−10.5483	+	7.66380i	−0.801974	+	0.582668i	−0.911492	−	0.411317i	$-0.865069\pi$
$173$	−10.5483	+	7.66380i	−0.801974	+	0.582668i	0.109519	+	0.993985i	$0.465069\pi$
$174$	−0.551777	−	0.400889i	−0.0418301	−	0.0303914i
$175$	6.32310	+	19.4605i	0.477982	+	1.47108i
$176$	5.70270	+	4.14325i	0.429857	+	0.312309i
$177$	−2.34025	+	7.20254i	−0.175904	+	0.541376i
$178$	−0.296213	+	0.911648i	−0.0222021	+	0.0683309i
$179$	−1.47134	−	4.52830i	−0.109973	−	0.338461i	0.880893	−	0.473316i	$-0.156943\pi$
$179$	−1.47134	−	4.52830i	−0.109973	−	0.338461i	−0.990865	+	0.134855i	$0.956943\pi$
$180$	−7.48583			−0.557960
$181$	0.605695			0.0450209			0.0225105	−	0.999747i	$-0.492834\pi$
$181$	0.605695			0.0450209			0.0225105	+	0.999747i	$0.492834\pi$
$182$	−0.603614	−	1.85773i	−0.0447428	−	0.137704i
$183$	5.11853	−	3.71883i	0.378372	−	0.274904i
$184$	4.23870	+	3.07959i	0.312481	+	0.227031i
$185$	−2.18178			−0.160408
$186$	0.920020	+	0.0293672i	0.0674592	+	0.00215331i
$187$	−8.22928			−0.601785
$188$	−2.82945	−	2.05572i	−0.206359	−	0.149929i
$189$	−1.76102	+	1.27945i	−0.128095	+	0.0930666i
$190$	−0.959221	−	2.95218i	−0.0695892	−	0.214174i
$191$	17.3175			1.25305			0.626524	−	0.779402i	$-0.284477\pi$
$191$	17.3175			1.25305			0.626524	+	0.779402i	$0.284477\pi$
$192$	−7.35148			−0.530547
$193$	3.56122	+	10.9603i	0.256342	+	0.788939i	0.993562	+	0.113287i	$0.0361379\pi$
$193$	3.56122	+	10.9603i	0.256342	+	0.788939i	−0.737220	+	0.675652i	$0.763862\pi$
$194$	−0.543261	+	1.67198i	−0.0390038	+	0.120041i
$195$	6.36504	−	19.5896i	0.455810	−	1.40284i
$196$	−3.60967	−	2.62258i	−0.257834	−	0.187327i
$197$	−3.75741	−	11.5641i	−0.267705	−	0.823910i	−0.991058	−	0.133432i	$-0.957400\pi$
$197$	−3.75741	−	11.5641i	−0.267705	−	0.823910i	0.723353	−	0.690478i	$-0.242600\pi$
$198$	−0.245728	−	0.178532i	−0.0174631	−	0.0126877i
$199$	−10.2693	+	7.46109i	−0.727972	+	0.528903i	−0.888921	−	0.458060i	$-0.848545\pi$
$199$	−10.2693	+	7.46109i	−0.727972	+	0.528903i	0.160949	+	0.986963i	$0.448545\pi$
$200$	1.90785	−	5.87175i	0.134905	−	0.415196i
$201$	−5.12183	+	3.72123i	−0.361266	+	0.262475i
$202$	−1.50425	+	1.09290i	−0.105838	+	0.0768961i
$203$	−2.77496	+	8.54045i	−0.194764	+	0.599422i
$204$	7.14850	−	5.19369i	0.500495	−	0.363631i
$205$	−1.92605	−	1.39935i	−0.134521	−	0.0977352i
$206$	0.614742	+	1.89198i	0.0428311	+	0.131821i
$207$	6.45376	+	4.68893i	0.448567	+	0.325903i
$208$	6.43545	−	19.8063i	0.446218	−	1.37332i
$209$	−2.80901	+	8.64526i	−0.194304	+	0.598005i
$210$	−0.422000	−	1.29878i	−0.0291207	−	0.0896244i
$211$	−20.1319			−1.38593			−0.692967	−	0.720969i	$-0.743697\pi$
$211$	−20.1319			−1.38593			−0.692967	+	0.720969i	$0.743697\pi$
$212$	−11.2922			−0.775554
$213$	0.761928	+	2.34497i	0.0522065	+	0.160675i
$214$	0.670145	−	0.486889i	0.0458102	−	0.0332830i
$215$	3.83759	+	2.78817i	0.261722	+	0.190152i
$216$	0.656780			0.0446882
$217$	−3.37551	−	11.6400i	−0.229144	−	0.790175i
$218$	−2.39322			−0.162089
$219$	7.50873	+	5.45541i	0.507393	+	0.368642i
$220$	−11.1264	+	8.08383i	−0.750144	+	0.545012i
$221$	7.51308	+	23.1229i	0.505385	+	1.55541i
$222$	0.0950523			0.00637950
$223$	−3.16186			−0.211734			−0.105867	−	0.994380i	$-0.533762\pi$
$223$	−3.16186			−0.211734			−0.105867	+	0.994380i	$0.533762\pi$
$224$	−1.31023	−	4.03248i	−0.0875436	−	0.269432i
$225$	2.90485	−	8.94021i	0.193657	−	0.596014i
$226$	−0.170882	+	0.525920i	−0.0113669	+	0.0349837i
$227$	−16.6570	−	12.1020i	−1.10556	−	0.803238i	−0.123603	−	0.992332i	$-0.539445\pi$
$227$	−16.6570	−	12.1020i	−1.10556	−	0.803238i	−0.981959	+	0.189094i	$0.939445\pi$
$228$	−3.01612	−	9.28267i	−0.199748	−	0.614760i
$229$	−11.5935	−	8.42314i	−0.766117	−	0.556617i	0.134663	−	0.990891i	$-0.457005\pi$
$229$	−11.5935	−	8.42314i	−0.766117	−	0.556617i	−0.900780	+	0.434275i	$0.857005\pi$
$230$	−4.04889	+	2.94169i	−0.266976	+	0.193969i
$231$	−1.23580	+	3.80339i	−0.0813095	+	0.250245i
$232$	2.19203	−	1.59260i	0.143914	−	0.104559i
$233$	−20.9378	+	15.2122i	−1.37168	+	0.996584i	−0.374076	+	0.927398i	$0.622040\pi$
$233$	−20.9378	+	15.2122i	−1.37168	+	0.996584i	−0.997604	+	0.0691854i	$0.977960\pi$
$234$	−0.277302	+	0.853447i	−0.0181278	+	0.0557916i
$235$	5.44295	−	3.95454i	0.355059	−	0.257965i
$236$	−12.0862	−	8.78117i	−0.786747	−	0.571605i
$237$	−0.169494	−	0.521649i	−0.0110098	−	0.0338847i
$238$	1.30408	+	0.947471i	0.0845310	+	0.0614154i
$239$	−0.0657790	+	0.202447i	−0.00425489	+	0.0130952i	−0.953161	−	0.302462i	$-0.902191\pi$
$239$	−0.0657790	+	0.202447i	−0.00425489	+	0.0130952i	0.948907	+	0.315557i	$0.102191\pi$
$240$	4.49917	−	13.8470i	0.290420	−	0.893821i
$241$	6.48089	+	19.9461i	0.417471	+	1.28484i	0.910022	+	0.414560i	$0.136065\pi$
$241$	6.48089	+	19.9461i	0.417471	+	1.28484i	−0.492551	+	0.870284i	$0.663935\pi$
$242$	1.26054			0.0810309
$243$	1.00000			0.0641500
$244$	3.85677	+	11.8699i	0.246904	+	0.759893i
$245$	6.94384	−	5.04499i	0.443625	−	0.322313i
$246$	0.0839110	+	0.0609649i	0.00534997	+	0.00388698i
$247$	26.8563			1.70882
$248$	−1.24039	+	3.44000i	−0.0787650	+	0.218440i
$249$	0.255433			0.0161874
$250$	2.23338	+	1.62265i	0.141251	+	0.102625i
$251$	21.4699	−	15.5988i	1.35517	−	0.984589i	0.356434	−	0.934320i	$-0.383992\pi$
$251$	21.4699	−	15.5988i	1.35517	−	0.984589i	0.998736	−	0.0502684i	$-0.0160077\pi$
$252$	−1.32691	−	4.08382i	−0.0835877	−	0.257256i
$253$	14.6559			0.921411
$254$	0.0617062			0.00387179
$255$	5.25256	+	16.1657i	0.328928	+	1.01234i
$256$	4.28234	−	13.1797i	0.267647	−	0.823731i
$257$	−8.06572	+	24.8237i	−0.503126	+	1.54846i	0.300772	+	0.953696i	$0.402756\pi$
$257$	−8.06572	+	24.8237i	−0.503126	+	1.54846i	−0.803898	+	0.594767i	$0.797244\pi$
$258$	−0.167190	−	0.121471i	−0.0104088	−	0.00756244i
$259$	−0.386735	−	1.19025i	−0.0240306	−	0.0739585i
$260$	32.8723	+	23.8831i	2.03865	+	1.48117i
$261$	3.33754	−	2.42486i	0.206588	−	0.150095i
$262$	1.10396	−	3.39765i	0.0682030	−	0.209907i
$263$	0.0470381	−	0.0341752i	0.00290049	−	0.00210733i	−0.586334	−	0.810069i	$-0.699429\pi$
$263$	0.0470381	−	0.0341752i	0.00290049	−	0.00210733i	0.589235	+	0.807962i	$0.299429\pi$
$264$	0.976194	−	0.709247i	0.0600806	−	0.0436511i
$265$	6.71265	−	20.6594i	0.412355	−	1.26910i
$266$	1.44050	−	1.04659i	0.0883229	−	0.0641704i
$267$	−4.69074	−	3.40802i	−0.287068	−	0.208567i
$268$	−3.85926	−	11.8776i	−0.235742	−	0.725539i
$269$	−20.6190	−	14.9806i	−1.25716	−	0.913384i	−0.258550	−	0.965998i	$-0.583245\pi$
$269$	−20.6190	−	14.9806i	−1.25716	−	0.913384i	−0.998615	+	0.0526142i	$0.983245\pi$
$270$	−0.193868	+	0.596664i	−0.0117984	+	0.0363118i
$271$	−0.222463	+	0.684670i	−0.0135136	+	0.0415907i	−0.957586	−	0.288148i	$-0.906961\pi$
$271$	−0.222463	+	0.684670i	−0.0135136	+	0.0415907i	0.944072	+	0.329738i	$0.106961\pi$
$272$	5.31067	+	16.3446i	0.322007	+	0.991035i
$273$	11.8151			0.715085
$274$	3.65639			0.220891
$275$	−5.33682	−	16.4250i	−0.321822	−	0.990468i
$276$	−12.7311	+	9.24970i	−0.766323	+	0.556766i
$277$	26.4925	+	19.2479i	1.59178	+	1.15650i	0.901343	+	0.433106i	$0.142583\pi$
$277$	26.4925	+	19.2479i	1.59178	+	1.15650i	0.690439	+	0.723391i	$0.257417\pi$
$278$	1.64603			0.0987225
$279$	−1.88860	+	5.23767i	−0.113067	+	0.313571i
$280$	5.42515			0.324215
$281$	−9.92831	−	7.21334i	−0.592273	−	0.430312i	0.250855	−	0.968025i	$-0.419288\pi$
$281$	−9.92831	−	7.21334i	−0.592273	−	0.430312i	−0.843128	+	0.537713i	$0.819288\pi$
$282$	−0.237130	+	0.172285i	−0.0141209	+	0.0102594i
$283$	−1.66324	−	5.11892i	−0.0988693	−	0.304288i	0.889373	−	0.457181i	$-0.151141\pi$
$283$	−1.66324	−	5.11892i	−0.0988693	−	0.304288i	−0.988243	+	0.152893i	$0.951141\pi$
$284$	−4.86391			−0.288620
$285$	18.7758			1.11218
$286$	0.509462	+	1.56796i	0.0301251	+	0.0927155i
$287$	0.422000	−	1.29878i	0.0249098	−	0.0766646i
$288$	−0.601925	+	1.85253i	−0.0354688	+	0.109162i
$289$	−2.47841	−	1.80067i	−0.145789	−	0.105922i
$290$	0.799787	+	2.46149i	0.0469651	+	0.144544i
$291$	−8.60292	−	6.25039i	−0.504312	−	0.366404i
$292$	−14.8122	+	10.7617i	−0.866820	+	0.629782i
$293$	−4.77290	+	14.6895i	−0.278836	+	0.858168i	0.709343	+	0.704863i	$0.248992\pi$
$293$	−4.77290	+	14.6895i	−0.278836	+	0.858168i	−0.988179	+	0.153305i	$0.951008\pi$
$294$	−0.302518	+	0.219792i	−0.0176432	+	0.0128185i
$295$	23.2500	−	16.8921i	1.35367	−	0.983497i
$296$	−0.116688	+	0.359130i	−0.00678237	+	0.0208740i
$297$	1.48633	−	1.07988i	0.0862458	−	0.0626613i
$298$	1.11027	+	0.806662i	0.0643165	+	0.0467287i
$299$	−13.3804	−	41.1807i	−0.773810	−	2.38154i
$300$	15.0021	+	10.8997i	0.866149	+	0.629294i
$301$	−0.840822	+	2.58778i	−0.0484642	+	0.149157i
$302$	−0.377164	+	1.16079i	−0.0217034	+	0.0667961i
$303$	−3.47541	−	10.6962i	−0.199657	−	0.614482i
$304$	18.9835			1.08878
$305$	−24.0089			−1.37475
$306$	−0.228835	−	0.704283i	−0.0130816	−	0.0402612i
$307$	−6.34180	+	4.60759i	−0.361946	+	0.262969i	−0.753863	−	0.657031i	$-0.771812\pi$
$307$	−6.34180	+	4.60759i	−0.361946	+	0.262969i	0.391917	+	0.920000i	$0.371812\pi$
$308$	−6.38229	−	4.63701i	−0.363665	−	0.264218i
$309$	−12.0330			−0.684532
$310$	−2.75899	−	2.14227i	−0.156700	−	0.121673i
$311$	18.3548			1.04080			0.520401	−	0.853922i	$-0.325782\pi$
$311$	18.3548			1.04080			0.520401	+	0.853922i	$0.325782\pi$
$312$	−2.88410	−	2.09542i	−0.163280	−	0.118630i
$313$	−7.25680	+	5.27238i	−0.410179	+	0.298012i	−0.773674	−	0.633584i	$-0.781583\pi$
$313$	−7.25680	+	5.27238i	−0.410179	+	0.298012i	0.363495	+	0.931596i	$0.381583\pi$
$314$	−0.852108	−	2.62252i	−0.0480872	−	0.147997i
$315$	8.26023			0.465411
$316$	1.08200			0.0608670
$317$	6.31352	+	19.4310i	0.354603	+	1.09136i	0.956239	+	0.292585i	$0.0945156\pi$
$317$	6.31352	+	19.4310i	0.354603	+	1.09136i	−0.601637	+	0.798770i	$0.705484\pi$
$318$	−0.292446	+	0.900057i	−0.0163996	+	0.0504727i
$319$	2.34212	−	7.20831i	0.131134	−	0.403588i
$320$	22.5693	+	16.3976i	1.26166	+	0.916651i
$321$	1.54830	+	4.76518i	0.0864178	+	0.265967i
$322$	−2.32250	−	1.68740i	−0.129428	−	0.0940350i
$323$	−17.9297	+	13.0267i	−0.997637	+	0.724825i
$324$	−0.609588	+	1.87612i	−0.0338660	+	0.104229i
$325$	−41.2793	+	29.9911i	−2.28976	+	1.66361i
$326$	0.558445	−	0.405734i	0.0309294	−	0.0224715i
$327$	4.47329	−	13.7674i	0.247374	−	0.761338i
$328$	−0.333350	+	0.242193i	−0.0184062	+	0.0133729i
$329$	3.12216	+	2.26838i	0.172130	+	0.125060i
$330$	0.356176	+	1.09620i	0.0196068	+	0.0603436i
$331$	−14.3433	−	10.4210i	−0.788378	−	0.572790i	0.119104	−	0.992882i	$-0.461998\pi$
$331$	−14.3433	−	10.4210i	−0.788378	−	0.572790i	−0.907482	+	0.420092i	$0.861998\pi$
$332$	−0.155709	+	0.479222i	−0.00854563	+	0.0263007i
$333$	−0.177667	+	0.546804i	−0.00973611	+	0.0299647i
$334$	0.456724	+	1.40565i	0.0249908	+	0.0769139i
$335$	24.0244			1.31260
$336$	8.35161			0.455618
$337$	−3.16716	−	9.74750i	−0.172526	−	0.530980i	0.826986	−	0.562223i	$-0.190054\pi$
$337$	−3.16716	−	9.74750i	−0.172526	−	0.530980i	−0.999512	+	0.0312424i	$0.990054\pi$
$338$	2.20183	−	1.59972i	0.119764	−	0.0870135i
$339$	−2.70603	−	1.96605i	−0.146972	−	0.106781i
$340$	−33.5307			−1.81846
$341$	2.84900	+	9.82440i	0.154282	+	0.532021i
$342$	−0.817995			−0.0442321
$343$	16.3102	+	11.8501i	0.880669	+	0.639843i
$344$	0.664191	−	0.482563i	0.0358108	−	0.0260181i
$345$	−9.35455	−	28.7903i	−0.503632	−	1.55002i
$346$	−2.15557			−0.115884
$347$	5.75932			0.309177			0.154588	−	0.987979i	$-0.450595\pi$
$347$	5.75932			0.309177			0.154588	+	0.987979i	$0.450595\pi$
$348$	2.51481	+	7.73978i	0.134808	+	0.414896i
$349$	5.77449	−	17.7720i	0.309101	−	0.951316i	−0.669014	−	0.743250i	$-0.733283\pi$
$349$	5.77449	−	17.7720i	0.309101	−	0.951316i	0.978115	−	0.208066i	$-0.0667168\pi$
$350$	−1.04536	+	3.21730i	−0.0558771	+	0.171972i
$351$	−4.39127	−	3.19045i	−0.234389	−	0.170293i
$352$	1.10586	+	3.40349i	0.0589427	+	0.181407i
$353$	2.51495	+	1.82722i	0.133857	+	0.0972528i	0.652699	−	0.757617i	$-0.273637\pi$
$353$	2.51495	+	1.82722i	0.133857	+	0.0972528i	−0.518842	+	0.854870i	$0.673637\pi$
$354$	−1.01292	+	0.735929i	−0.0538361	+	0.0391142i
$355$	2.89134	−	8.89864i	0.153457	−	0.472291i
$356$	9.25326	−	6.72289i	0.490422	−	0.356312i
$357$	−7.88800	+	5.73097i	−0.417477	+	0.303315i
$358$	0.243248	−	0.748640i	0.0128561	−	0.0395669i
$359$	−0.0260459	+	0.0189235i	−0.00137465	+	0.000998742i	−0.588472	−	0.808517i	$-0.700270\pi$
$359$	−0.0260459	+	0.0189235i	−0.00137465	+	0.000998742i	0.587098	+	0.809516i	$0.300270\pi$
$360$	−2.01634	−	1.46496i	−0.106270	−	0.0772099i
$361$	1.69366	+	5.21256i	0.0891401	+	0.274345i
$362$	0.0810119	+	0.0588586i	0.00425789	+	0.00309354i
$363$	−2.35615	+	7.25148i	−0.123666	+	0.380604i
$364$	−7.20237	+	22.1666i	−0.377507	+	1.16185i
$365$	−10.8837	−	33.4966i	−0.569679	−	1.75329i
$366$	1.04598			0.0546744
$367$	−17.4915			−0.913049			−0.456525	−	0.889711i	$-0.650906\pi$
$367$	−17.4915			−0.913049			−0.456525	+	0.889711i	$0.650906\pi$
$368$	−9.45804	−	29.1089i	−0.493034	−	1.51740i
$369$	−0.507553	+	0.368759i	−0.0264221	+	0.0191968i
$370$	−0.291814	−	0.212015i	−0.0151707	−	0.0110222i
$371$	12.4604			0.646912
$372$	−8.67523	−	6.73605i	−0.449790	−	0.349248i
$373$	−28.5776			−1.47969			−0.739845	−	0.672778i	$-0.765101\pi$
$373$	−28.5776			−1.47969			−0.739845	+	0.672778i	$0.765101\pi$
$374$	−1.10067	−	0.799684i	−0.0569143	−	0.0413507i
$375$	−13.5091	+	9.81491i	−0.697605	+	0.506840i
$376$	−0.359827	−	1.10743i	−0.0185566	−	0.0571115i
$377$	−22.3924			−1.15327
$378$	−0.359869			−0.0185096
$379$	1.73044	+	5.32576i	0.0888869	+	0.273566i	0.985612	−	0.169021i	$-0.0540607\pi$
$379$	1.73044	+	5.32576i	0.0888869	+	0.273566i	−0.896725	+	0.442587i	$0.854061\pi$
$380$	−11.4455	+	35.2256i	−0.587142	+	1.80704i
$381$	−0.115338	+	0.354975i	−0.00590896	+	0.0181859i
$382$	2.31622	+	1.68283i	0.118508	+	0.0861012i
$383$	−2.67494	−	8.23260i	−0.136683	−	0.420666i	0.859165	−	0.511698i	$-0.170983\pi$
$383$	−2.67494	−	8.23260i	−0.136683	−	0.420666i	−0.995848	+	0.0910320i	$0.970983\pi$
$384$	−4.13498	−	3.00424i	−0.211012	−	0.153310i
$385$	12.2775	−	8.92009i	0.625717	−	0.454610i
$386$	−0.588757	+	1.81201i	−0.0299669	+	0.0922287i
$387$	1.01128	−	0.734741i	0.0514065	−	0.0373490i
$388$	16.9707	−	12.3299i	0.861557	−	0.625958i
$389$	0.395952	−	1.21861i	0.0200755	−	0.0617862i	−0.940517	−	0.339747i	$-0.889659\pi$
$389$	0.395952	−	1.21861i	0.0200755	−	0.0617862i	0.960592	+	0.277961i	$0.0896585\pi$
$390$	2.75495	−	2.00159i	0.139502	−	0.101354i
$391$	28.9078	+	21.0028i	1.46193	+	1.06216i
$392$	−0.459048	−	1.41281i	−0.0231854	−	0.0713574i
$393$	17.4820	+	12.7014i	0.881852	+	0.640703i
$394$	0.621193	−	1.91184i	0.0312953	−	0.0963169i
$395$	−0.643191	+	1.97954i	−0.0323624	+	0.0996014i
$396$	1.11994	+	3.44682i	0.0562791	+	0.173209i
$397$	−27.3148			−1.37089			−0.685446	−	0.728123i	$-0.740393\pi$
$397$	−27.3148			−1.37089			−0.685446	+	0.728123i	$0.740393\pi$
$398$	−2.09856			−0.105191
$399$	3.32814	+	10.2430i	0.166615	+	0.512789i
$400$	−29.1785	+	21.1994i	−1.45893	+	1.05997i
$401$	−0.198881	−	0.144495i	−0.00993162	−	0.00721574i	0.582808	−	0.812610i	$-0.301954\pi$
$401$	−0.198881	−	0.144495i	−0.00993162	−	0.00721574i	−0.592740	+	0.805394i	$0.701954\pi$
$402$	−1.04666			−0.0522026
$403$	25.0039	−	16.9746i	1.24553	−	0.845564i
$404$	22.1859			1.10379
$405$	−3.07004	−	2.23051i	−0.152551	−	0.110835i
$406$	−1.20107	+	0.872632i	−0.0596083	+	0.0433080i
$407$	0.326412	+	1.00459i	0.0161796	+	0.0497958i
$408$	2.94187			0.145644
$409$	13.3898			0.662082			0.331041	−	0.943616i	$-0.392600\pi$
$409$	13.3898			0.662082			0.331041	+	0.943616i	$0.392600\pi$
$410$	−0.121627	−	0.374329i	−0.00600672	−	0.0184868i
$411$	−6.83435	+	21.0340i	−0.337114	+	1.03753i
$412$	7.33516	−	22.5753i	0.361377	−	1.11221i
$413$	13.3365	+	9.68957i	0.656249	+	0.476793i
$414$	0.407544	+	1.25429i	0.0200297	+	0.0616451i
$415$	−0.784188	−	0.569746i	−0.0384943	−	0.0279677i
$416$	8.55363	−	6.21457i	0.419376	−	0.304695i
$417$	−3.07669	+	9.46907i	−0.150666	+	0.463702i
$418$	−1.21581	+	0.883340i	−0.0594674	+	0.0432056i
$419$	−15.1726	+	11.0236i	−0.741232	+	0.538537i	−0.893097	−	0.449865i	$-0.851472\pi$
$419$	−15.1726	+	11.0236i	−0.741232	+	0.538537i	0.151865	+	0.988401i	$0.451472\pi$
$420$	−5.03533	+	15.4972i	−0.245699	+	0.756184i
$421$	1.45013	−	1.05358i	0.0706750	−	0.0513484i	−0.551887	−	0.833919i	$-0.686092\pi$
$421$	1.45013	−	1.05358i	0.0706750	−	0.0513484i	0.622562	+	0.782571i	$0.286092\pi$
$422$	−2.69265	−	1.95632i	−0.131076	−	0.0952323i
$423$	−0.547865	−	1.68615i	−0.0266381	−	0.0819836i
$424$	−3.04161	−	2.20986i	−0.147714	−	0.107320i
$425$	13.0115	−	40.0453i	0.631150	−	1.94248i
$426$	−0.125966	+	0.387682i	−0.00610305	+	0.0187833i
$427$	−4.25575	−	13.0978i	−0.205950	−	0.633849i
$428$	−9.88388			−0.477755
$429$	−9.97221			−0.481463
$430$	0.242338	+	0.745839i	0.0116866	+	0.0359676i
$431$	31.4794	−	22.8711i	1.51631	−	1.10166i	0.553028	−	0.833162i	$-0.313472\pi$
$431$	31.4794	−	22.8711i	1.51631	−	1.10166i	0.963280	−	0.268500i	$-0.0865279\pi$
$432$	−3.10400	−	2.25519i	−0.149341	−	0.108503i
$433$	4.39518			0.211219			0.105609	−	0.994408i	$-0.466321\pi$
$433$	4.39518			0.211219			0.105609	+	0.994408i	$0.466321\pi$
$434$	0.679647	−	1.88487i	0.0326241	−	0.0904768i
$435$	−15.6550			−0.750602
$436$	23.1024	+	16.7849i	1.10640	+	0.803849i
$437$	31.9319	−	23.1999i	1.52751	−	1.10980i
$438$	0.474164	+	1.45933i	0.0226564	+	0.0697294i
$439$	−21.3648			−1.01968			−0.509842	−	0.860268i	$-0.670296\pi$
$439$	−21.3648			−1.01968			−0.509842	+	0.860268i	$0.670296\pi$
$440$	−4.57893			−0.218292
$441$	−0.698938	−	2.15111i	−0.0332827	−	0.102434i
$442$	−1.24210	+	3.82279i	−0.0590806	+	0.181831i
$443$	−8.60621	+	26.4872i	−0.408893	+	1.25844i	0.508707	+	0.860940i	$0.330124\pi$
$443$	−8.60621	+	26.4872i	−0.408893	+	1.25844i	−0.917600	+	0.397504i	$0.869876\pi$
$444$	−0.917565	−	0.666650i	−0.0435457	−	0.0316378i
$445$	6.79910	+	20.9255i	0.322308	+	0.991963i
$446$	−0.422901	−	0.307255i	−0.0200249	−	0.0145490i
$447$	−6.71572	+	4.87926i	−0.317643	+	0.230781i
$448$	−4.94496	+	15.2190i	−0.233628	+	0.719032i
$449$	20.2252	−	14.6945i	0.954485	−	0.693474i	0.00262175	−	0.999997i	$-0.499165\pi$
$449$	20.2252	−	14.6945i	0.954485	−	0.693474i	0.951863	+	0.306522i	$0.0991655\pi$
$450$	1.25729	−	0.913478i	0.0592694	−	0.0430617i
$451$	−0.356176	+	1.09620i	−0.0167717	+	0.0516179i
$452$	5.33811	−	3.87836i	0.251083	−	0.182423i
$453$	−5.97266	−	4.33939i	−0.280620	−	0.203883i
$454$	−1.05186	−	3.23729i	−0.0493663	−	0.151934i
$455$	−36.2729	−	26.3538i	−1.70050	−	1.23549i
$456$	1.00419	−	3.09057i	0.0470254	−	0.144729i
$457$	−2.18390	+	6.72134i	−0.102158	+	0.314411i	−0.989053	−	0.147561i	$-0.952858\pi$
$457$	−2.18390	+	6.72134i	−0.102158	+	0.314411i	0.886895	+	0.461972i	$0.152858\pi$
$458$	−0.732108	−	2.25320i	−0.0342092	−	0.105285i
$459$	4.47923			0.209072
$460$	59.7165			2.78430
$461$	2.57562	+	7.92694i	0.119958	+	0.369194i	0.992949	−	0.118543i	$-0.0378224\pi$
$461$	2.57562	+	7.92694i	0.119958	+	0.369194i	−0.872990	+	0.487737i	$0.837822\pi$
$462$	−0.534885	+	0.388617i	−0.0248851	+	0.0180801i
$463$	−13.8115	−	10.0346i	−0.641874	−	0.466349i	0.218619	−	0.975810i	$-0.429845\pi$
$463$	−13.8115	−	10.0346i	−0.641874	−	0.466349i	−0.860494	+	0.509461i	$0.829845\pi$
$464$	−15.8282			−0.734807
$465$	17.4807	−	11.8673i	0.810650	−	0.550333i
$466$	−4.27869			−0.198206
$467$	32.1520	+	23.3598i	1.48782	+	1.08096i	0.974931	+	0.222507i	$0.0714240\pi$
$467$	32.1520	+	23.3598i	1.48782	+	1.08096i	0.512887	+	0.858456i	$0.328576\pi$
$468$	8.66252	−	6.29369i	0.400425	−	0.290926i
$469$	4.25850	+	13.1063i	0.196639	+	0.605193i
$470$	1.11228			0.0513057
$471$	16.6792			0.768536
$472$	−1.53703	−	4.73049i	−0.0707475	−	0.217738i
$473$	0.709670	−	2.18414i	0.0326307	−	0.100427i
$474$	0.0280215	−	0.0862414i	0.00128707	−	0.00396120i
$475$	−37.6281	−	27.3384i	−1.72649	−	1.25437i
$476$	−5.94355	−	18.2924i	−0.272422	−	0.838429i
$477$	−4.63110	−	3.36469i	−0.212043	−	0.154058i
$478$	−0.0284708	+	0.0206853i	−0.00130223	+	0.000946122i
$479$	−8.98173	+	27.6429i	−0.410386	+	1.26304i	0.505928	+	0.862576i	$0.331150\pi$
$479$	−8.98173	+	27.6429i	−0.410386	+	1.26304i	−0.916313	+	0.400462i	$0.868850\pi$
$480$	5.98003	−	4.34475i	0.272950	−	0.198310i
$481$	2.52473	−	1.83433i	0.115118	−	0.0836381i
$482$	−1.07145	+	3.29759i	−0.0488033	+	0.150201i
$483$	14.0481	−	10.2066i	0.639212	−	0.464415i
$484$	−12.1684	−	8.84083i	−0.553107	−	0.401856i
$485$	12.4697	+	38.3778i	0.566220	+	1.74265i
$486$	0.133750	+	0.0971754i	0.00606704	+	0.00440797i
$487$	−3.03234	+	9.33260i	−0.137409	+	0.422900i	−0.995957	−	0.0898325i	$-0.971367\pi$
$487$	−3.03234	+	9.33260i	−0.137409	+	0.422900i	0.858548	+	0.512733i	$0.171367\pi$
$488$	−1.28407	+	3.95197i	−0.0581272	+	0.178897i
$489$	1.29023	+	3.97093i	0.0583463	+	0.179571i
$490$	1.41899			0.0641035
$491$	20.2163			0.912347			0.456173	−	0.889891i	$-0.349220\pi$
$491$	20.2163			0.912347			0.456173	+	0.889891i	$0.349220\pi$
$492$	−0.382437	−	1.17702i	−0.0172416	−	0.0530641i
$493$	14.9496	−	10.8615i	0.673296	−	0.489178i
$494$	3.59204	+	2.60977i	0.161613	+	0.117419i
$495$	−6.97179			−0.313359
$496$	17.6741	−	11.9986i	0.793592	−	0.538752i
$497$	5.36708			0.240746
$498$	0.0341643	+	0.0248218i	0.00153094	+	0.00111229i
$499$	−12.1411	+	8.82104i	−0.543511	+	0.394884i	−0.825387	−	0.564567i	$-0.809043\pi$
$499$	−12.1411	+	8.82104i	−0.543511	+	0.394884i	0.281876	+	0.959451i	$0.409043\pi$
$500$	−10.1790	−	31.3277i	−0.455218	−	1.40102i
$501$	−8.93993			−0.399406
$502$	4.38743			0.195821
$503$	−0.901713	−	2.77519i	−0.0402054	−	0.123739i	0.928939	−	0.370232i	$-0.120722\pi$
$503$	−0.901713	−	2.77519i	−0.0402054	−	0.123739i	−0.969145	+	0.246493i	$0.920722\pi$
$504$	0.441782	−	1.35967i	0.0196786	−	0.0605644i
$505$	−13.1884	+	40.5897i	−0.586876	+	1.80622i
$506$	1.96024	+	1.42420i	0.0871432	+	0.0633133i
$507$	5.08711	+	15.6565i	0.225926	+	0.695330i
$508$	−0.595665	−	0.432776i	−0.0264284	−	0.0192013i
$509$	30.4174	−	22.0996i	1.34823	−	0.979546i	0.349132	−	0.937074i	$-0.386477\pi$
$509$	30.4174	−	22.0996i	1.34823	−	0.979546i	0.999098	−	0.0424725i	$-0.0135235\pi$
$510$	−0.868378	+	2.67259i	−0.0384524	+	0.118344i
$511$	16.3445	−	11.8750i	0.723040	−	0.525319i
$512$	10.1235	−	7.35513i	0.447399	−	0.325054i
$513$	1.52896	−	4.70565i	0.0675051	−	0.207759i
$514$	−3.49105	+	2.53640i	−0.153984	+	0.111876i
$515$	36.9417	+	26.8397i	1.62784	+	1.18270i
$516$	0.761995	+	2.34518i	0.0335449	+	0.103241i
$517$	−2.63516	−	1.91456i	−0.115894	−	0.0842022i
$518$	0.0639369	−	0.196777i	0.00280923	−	0.00864591i
$519$	4.02910	−	12.4003i	0.176858	−	0.544312i
$520$	4.18043	+	12.8660i	0.183324	+	0.564213i
$521$	−3.89717			−0.170738			−0.0853690	−	0.996349i	$-0.527207\pi$
$521$	−3.89717			−0.170738			−0.0853690	+	0.996349i	$0.527207\pi$
$522$	0.682034			0.0298518
$523$	7.43511	+	22.8829i	0.325115	+	1.00060i	0.971389	+	0.237494i	$0.0763262\pi$
$523$	7.43511	+	22.8829i	0.325115	+	1.00060i	−0.646274	+	0.763105i	$0.723674\pi$
$524$	−34.4862	+	25.0557i	−1.50654	+	1.09456i
$525$	−16.5541	−	12.0273i	−0.722480	−	0.524912i
$526$	0.00961235			0.000419118
$527$	−8.45946	+	23.4607i	−0.368500	+	1.02197i
$528$	−7.04892			−0.306765
$529$	−32.8760	−	23.8858i	−1.42939	−	1.03851i
$530$	2.90541	−	2.11090i	0.126203	−	0.0916918i
$531$	−2.34025	−	7.20254i	−0.101558	−	0.312564i
$532$	−21.2458			−0.921122
$533$	3.40531			0.147500
$534$	−0.296213	−	0.911648i	−0.0128184	−	0.0394509i
$535$	5.87546	−	18.0828i	0.254018	−	0.781787i
$536$	1.28490	−	3.95452i	0.0554993	−	0.170809i
$537$	3.85201	+	2.79865i	0.166226	+	0.120770i
$538$	−1.30206	−	4.00733i	−0.0561358	−	0.172768i
$539$	−3.36180	−	2.44249i	−0.144803	−	0.105206i
$540$	6.05616	−	4.40006i	0.260616	−	0.189348i
$541$	0.940937	−	2.89591i	0.0404540	−	0.124505i	−0.928790	−	0.370607i	$-0.879150\pi$
$541$	0.940937	−	2.89591i	0.0404540	−	0.124505i	0.969244	+	0.246102i	$0.0791498\pi$
$542$	−0.0962876	+	0.0699570i	−0.00413590	+	0.00300491i
$543$	−0.490017	+	0.356018i	−0.0210287	+	0.0152782i
$544$	−2.69616	+	8.29792i	−0.115597	+	0.355771i
$545$	−44.4415	+	32.2886i	−1.90366	+	1.38309i
$546$	1.58028	+	1.14814i	0.0676298	+	0.0491359i
$547$	2.50709	+	7.71604i	0.107196	+	0.329914i	0.990239	−	0.139376i	$-0.0445098\pi$
$547$	2.50709	+	7.71604i	0.107196	+	0.329914i	−0.883044	+	0.469290i	$0.844510\pi$
$548$	−35.2961	−	25.6441i	−1.50777	−	1.09546i
$549$	−1.95510	+	6.01719i	−0.0834418	+	0.256807i
$550$	0.882308	−	2.71547i	0.0376217	−	0.115788i
$551$	−6.30759	−	19.4128i	−0.268712	−	0.827012i
$552$	−5.23932			−0.223000
$553$	−1.19393			−0.0507710
$554$	1.67296	+	5.14884i	0.0710773	+	0.218753i
$555$	1.76510	−	1.28242i	0.0749242	−	0.0544356i
$556$	−15.8896	−	11.5445i	−0.673869	−	0.489594i
$557$	−38.3245			−1.62386			−0.811930	−	0.583755i	$-0.801583\pi$
$557$	−38.3245			−1.62386			−0.811930	+	0.583755i	$0.801583\pi$
$558$	−0.761574	+	0.517016i	−0.0322400	+	0.0218870i
$559$	−6.78498			−0.286974
$560$	−25.6397	−	18.6284i	−1.08348	−	0.787192i
$561$	6.65763	−	4.83705i	0.281085	−	0.204220i
$562$	−0.626957	−	1.92957i	−0.0264466	−	0.0813942i
$563$	−9.87177			−0.416045			−0.208023	−	0.978124i	$-0.566703\pi$
$563$	−9.87177			−0.416045			−0.208023	+	0.978124i	$0.566703\pi$
$564$	3.49740			0.147267
$565$	3.92233	+	12.0717i	0.165014	+	0.507859i
$566$	0.274974	−	0.846284i	0.0115580	−	0.0355720i
$567$	0.672649	−	2.07020i	0.0282486	−	0.0869403i
$568$	−1.31011	−	0.951854i	−0.0549712	−	0.0399389i
$569$	7.68052	+	23.6382i	0.321984	+	0.990965i	0.972784	+	0.231715i	$0.0744338\pi$
$569$	7.68052	+	23.6382i	0.321984	+	0.990965i	−0.650800	+	0.759250i	$0.725566\pi$
$570$	2.51127	+	1.82455i	0.105186	+	0.0764218i
$571$	31.3778	−	22.7973i	1.31312	−	0.954037i	0.313129	−	0.949711i	$-0.398623\pi$
$571$	31.3778	−	22.7973i	1.31312	−	0.954037i	0.999991	−	0.00432648i	$-0.00137716\pi$
$572$	6.07894	−	18.7091i	0.254173	−	0.782265i
$573$	−14.0101	+	10.1790i	−0.585281	+	0.425232i
$574$	0.182652	−	0.132705i	0.00762376	−	0.00553898i
$575$	−23.1728	+	71.3186i	−0.966373	+	2.97419i
$576$	5.94747	−	4.32109i	0.247811	−	0.180045i
$577$	−7.66964	−	5.57232i	−0.319291	−	0.231979i	0.416582	−	0.909098i	$-0.363228\pi$
$577$	−7.66964	−	5.57232i	−0.319291	−	0.231979i	−0.735873	+	0.677120i	$0.763228\pi$
$578$	−0.156508	−	0.481681i	−0.00650986	−	0.0200353i
$579$	−9.32338	−	6.77383i	−0.387467	−	0.281511i
$580$	9.54312	−	29.3707i	0.396256	−	1.21955i
$581$	0.171817	−	0.528798i	0.00712816	−	0.0219382i
$582$	−0.543261	−	1.67198i	−0.0225189	−	0.0693060i
$583$	−10.5168			−0.435563
$584$	−6.09577			−0.252245
$585$	6.36504	+	19.5896i	0.263162	+	0.809929i
$586$	−2.06583	+	1.50091i	−0.0853387	+	0.0620022i
$587$	−15.4920	−	11.2556i	−0.639425	−	0.464569i	0.220228	−	0.975448i	$-0.429320\pi$
$587$	−15.4920	−	11.2556i	−0.639425	−	0.464569i	−0.859653	+	0.510879i	$0.829320\pi$
$588$	4.46180			0.184002
$589$	21.7590	+	16.8952i	0.896566	+	0.696156i
$590$	4.75120			0.195604
$591$	9.83703	+	7.14702i	0.404642	+	0.293989i
$592$	1.78462	−	1.29661i	0.0733476	−	0.0532902i
$593$	−4.72997	−	14.5574i	−0.194237	−	0.597799i	−0.999985	−	0.00554061i	$-0.998236\pi$
$593$	−4.72997	−	14.5574i	−0.194237	−	0.597799i	0.805748	−	0.592259i	$-0.201764\pi$
$594$	0.303736			0.0124624
$595$	36.9994			1.51683
$596$	−5.06024	−	15.5738i	−0.207276	−	0.637929i
$597$	3.92253	−	12.0723i	0.160538	−	0.494086i
$598$	2.21211	−	6.80819i	0.0904601	−	0.278408i
$599$	−18.0799	−	13.1358i	−0.738726	−	0.536716i	0.153586	−	0.988135i	$-0.450918\pi$
$599$	−18.0799	−	13.1358i	−0.738726	−	0.536716i	−0.892312	+	0.451419i	$0.850918\pi$
$600$	1.90785	+	5.87175i	0.0778876	+	0.239713i
$601$	−30.1238	−	21.8862i	−1.22877	−	0.892757i	−0.231977	−	0.972721i	$-0.574519\pi$
$601$	−30.1238	−	21.8862i	−1.22877	−	0.892757i	−0.996798	+	0.0799642i	$0.974519\pi$
$602$	−0.363929	+	0.264410i	−0.0148327	+	0.0107766i
$603$	1.95637	−	6.02107i	0.0796694	−	0.245197i
$604$	11.7821	−	8.56018i	0.479406	−	0.348309i
$605$	23.4080	−	17.0069i	0.951670	−	0.691428i
$606$	0.574571	−	1.76835i	0.0233404	−	0.0718342i
$607$	4.47996	−	3.25488i	0.181836	−	0.132112i	−0.493144	−	0.869948i	$-0.664152\pi$
$607$	4.47996	−	3.25488i	0.181836	−	0.132112i	0.674980	+	0.737836i	$0.264152\pi$
$608$	7.79705	+	5.66489i	0.316212	+	0.229742i
$609$	−2.77496	−	8.54045i	−0.112447	−	0.346077i
$610$	−3.21121	−	2.33308i	−0.130018	−	0.0944636i
$611$	−2.97376	+	9.15230i	−0.120306	+	0.370262i
$612$	−2.73048	+	8.40356i	−0.110373	+	0.339694i
$613$	2.08442	+	6.41518i	0.0841889	+	0.259107i	0.984286	−	0.176583i	$-0.0565044\pi$
$613$	2.08442	+	6.41518i	0.0841889	+	0.259107i	−0.900097	+	0.435690i	$0.856504\pi$
$614$	−1.29596			−0.0523008
$615$	2.38072			0.0960001
$616$	−0.811647	−	2.49799i	−0.0327022	−	0.100647i
$617$	−1.94324	+	1.41185i	−0.0782318	+	0.0568388i	−0.626214	−	0.779651i	$-0.715396\pi$
$617$	−1.94324	+	1.41185i	−0.0782318	+	0.0568388i	0.547982	+	0.836490i	$0.315396\pi$
$618$	−1.60942	−	1.16931i	−0.0647402	−	0.0470365i
$619$	19.7390			0.793377			0.396689	−	0.917953i	$-0.370159\pi$
$619$	19.7390			0.793377			0.396689	+	0.917953i	$0.370159\pi$
$620$	11.6084	+	40.0301i	0.466205	+	1.60765i
$621$	−7.97728			−0.320117
$622$	2.45496	+	1.78363i	0.0984348	+	0.0715171i
$623$	−10.2105	+	7.41837i	−0.409075	+	0.297211i
$624$	6.43545	+	19.8063i	0.257624	+	0.792886i
$625$	16.3641			0.654564
$626$	−1.48295			−0.0592704
$627$	−2.80901	−	8.64526i	−0.112181	−	0.345258i
$628$	−10.1674	+	31.2921i	−0.405724	+	1.24869i
$629$	−0.795813	+	2.44926i	−0.0317311	+	0.0976584i
$630$	1.10481	+	0.802691i	0.0440166	+	0.0319800i
$631$	11.7348	+	36.1161i	0.467156	+	1.43776i	0.856250	+	0.516562i	$0.172788\pi$
$631$	11.7348	+	36.1161i	0.467156	+	1.43776i	−0.389094	+	0.921198i	$0.627212\pi$
$632$	0.291440	+	0.211744i	0.0115929	+	0.00842271i
$633$	16.2870	−	11.8332i	0.647351	−	0.470328i
$634$	−1.04378	+	3.21243i	−0.0414539	+	0.127582i
$635$	1.14587	−	0.832521i	0.0454723	−	0.0330376i
$636$	9.13561	−	6.63741i	0.362251	−	0.263191i
$637$	−3.79377	+	11.6760i	−0.150315	+	0.462621i
$638$	1.01373	−	0.736518i	0.0401340	−	0.0291590i
$639$	−1.99475	−	1.44927i	−0.0789112	−	0.0573324i
$640$	5.99355	+	18.4463i	0.236916	+	0.729152i
$641$	21.0275	+	15.2774i	0.830536	+	0.603420i	0.919711	−	0.392596i	$-0.128423\pi$
$641$	21.0275	+	15.2774i	0.830536	+	0.603420i	−0.0891747	+	0.996016i	$0.528423\pi$
$642$	−0.255973	+	0.787803i	−0.0101024	+	0.0310921i
$643$	−1.25958	+	3.87659i	−0.0496730	+	0.152878i	−0.972816	−	0.231578i	$-0.925611\pi$
$643$	−1.25958	+	3.87659i	−0.0496730	+	0.152878i	0.923143	+	0.384456i	$0.125611\pi$
$644$	10.5852	+	32.5778i	0.417114	+	1.28374i
$645$	−4.74353			−0.186776
$646$	−3.66398			−0.144158
$647$	−13.9697	−	42.9944i	−0.549207	−	1.69029i	−0.710771	−	0.703423i	$-0.751654\pi$
$647$	−13.9697	−	42.9944i	−0.549207	−	1.69029i	0.161564	−	0.986862i	$-0.448346\pi$
$648$	−0.531346	+	0.386046i	−0.0208732	+	0.0151653i
$649$	−11.2563	−	8.17819i	−0.441849	−	0.321022i
$650$	−8.43552			−0.330868
$651$	9.57267	+	7.43289i	0.375183	+	0.291318i
$652$	−8.23644			−0.322564
$653$	25.5028	+	18.5289i	0.998002	+	0.725091i	0.961659	−	0.274248i	$-0.0884290\pi$
$653$	25.5028	+	18.5289i	0.998002	+	0.725091i	0.0363434	+	0.999339i	$0.488429\pi$
$654$	1.93616	−	1.40670i	0.0757097	−	0.0550063i
$655$	−25.3397	−	77.9877i	−0.990106	−	3.04723i
$656$	2.40706			0.0939800
$657$	−9.28130			−0.362098
$658$	0.197159	+	0.606794i	0.00768607	+	0.0236553i
$659$	−1.98299	+	6.10303i	−0.0772464	+	0.237740i	−0.982222	−	0.187724i	$-0.939889\pi$
$659$	−1.98299	+	6.10303i	−0.0772464	+	0.237740i	0.904975	+	0.425464i	$0.139889\pi$
$660$	4.24992	−	13.0799i	0.165428	−	0.509135i
$661$	20.8008	+	15.1127i	0.809057	+	0.587814i	0.913557	−	0.406711i	$-0.133324\pi$
$661$	20.8008	+	15.1127i	0.809057	+	0.587814i	−0.104500	+	0.994525i	$0.533324\pi$
$662$	−0.905755	−	2.78763i	−0.0352032	−	0.108344i
$663$	−19.6695	−	14.2907i	−0.763901	−	0.555006i
$664$	−0.135723	+	0.0986087i	−0.00526709	+	0.00382676i
$665$	12.6295	−	38.8697i	0.489752	−	1.50730i
$666$	−0.0768990	+	0.0558704i	−0.00297977	+	0.00216493i
$667$	−26.6245	+	19.3438i	−1.03090	+	0.748995i
$668$	5.44967	−	16.7724i	0.210854	−	0.648942i
$669$	2.55800	−	1.85850i	0.0988981	−	0.0718537i
$670$	3.21328	+	2.33458i	0.124140	+	0.0901929i
$671$	3.59193	+	11.0548i	0.138665	+	0.426767i
$672$	3.43023	+	2.49221i	0.132324	+	0.0961391i
$673$	−1.26027	+	3.87872i	−0.0485799	+	0.149514i	−0.972404	−	0.233304i	$-0.925046\pi$
$673$	−1.26027	+	3.87872i	−0.0485799	+	0.149514i	0.923824	+	0.382818i	$0.125046\pi$
$674$	0.523609	−	1.61150i	0.0201687	−	0.0620728i
$675$	2.90485	+	8.94021i	0.111808	+	0.344109i
$676$	−32.4745			−1.24902
$677$	−50.1051			−1.92569			−0.962847	−	0.270048i	$-0.912961\pi$
$677$	−50.1051			−1.92569			−0.962847	+	0.270048i	$0.912961\pi$
$678$	−0.170882	−	0.525920i	−0.00656267	−	0.0201978i
$679$	−18.7263	+	13.6055i	−0.718650	+	0.522129i
$680$	−9.03164	−	6.56187i	−0.346347	−	0.251636i
$681$	20.5891			0.788978
$682$	−0.573635	+	1.59087i	−0.0219656	+	0.0609175i
$683$	−1.95717			−0.0748889			−0.0374444	−	0.999299i	$-0.511922\pi$
$683$	−1.95717			−0.0748889			−0.0374444	+	0.999299i	$0.511922\pi$
$684$	7.89631	+	5.73701i	0.301923	+	0.219360i
$685$	67.8982	−	49.3310i	2.59426	−	1.88484i
$686$	1.02996	+	3.16990i	0.0393242	+	0.121027i
$687$	14.3303			0.546735
$688$	−4.79600			−0.182846
$689$	9.60155	+	29.5505i	0.365790	+	1.12579i
$690$	1.54654	−	4.75975i	0.0588757	−	0.181201i
$691$	−3.53994	+	10.8948i	−0.134666	+	0.414458i	−0.995538	−	0.0943631i	$-0.969919\pi$
$691$	−3.53994	+	10.8948i	−0.134666	+	0.414458i	0.860872	+	0.508821i	$0.169919\pi$
$692$	20.8083	+	15.1181i	0.791014	+	0.574705i
$693$	−1.23580	−	3.80339i	−0.0469441	−	0.144479i
$694$	0.770312	+	0.559664i	0.0292406	+	0.0212446i
$695$	30.5664	−	22.2078i	1.15945	−	0.842390i
$696$	−0.837280	+	2.57688i	−0.0317370	+	0.0976765i
$697$	−2.27344	+	1.65175i	−0.0861128	+	0.0625646i
$698$	2.49935	−	1.81588i	0.0946016	−	0.0687321i
$699$	7.99752	−	24.6138i	0.302494	−	0.930981i
$700$	32.6557	−	23.7258i	1.23427	−	0.896750i
$701$	3.26310	+	2.37078i	0.123246	+	0.0895433i	0.647701	−	0.761895i	$-0.275731\pi$
$701$	3.26310	+	2.37078i	0.123246	+	0.0895433i	−0.524455	+	0.851438i	$0.675731\pi$
$702$	−0.277302	−	0.853447i	−0.0104661	−	0.0322113i
$703$	2.30142	+	1.67208i	0.0867997	+	0.0630636i
$704$	4.17365	−	12.8452i	0.157300	−	0.484120i
$705$	−2.07902	+	6.39857i	−0.0783005	+	0.240984i
$706$	0.158815	+	0.488782i	0.00597707	+	0.0183955i
$707$	−24.4811			−0.920705
$708$	14.9394			0.561457
$709$	−3.19443	−	9.83145i	−0.119969	−	0.369228i	0.872982	−	0.487753i	$-0.162183\pi$
$709$	−3.19443	−	9.83145i	−0.119969	−	0.369228i	−0.992951	+	0.118525i	$0.962183\pi$
$710$	1.25145	−	0.909230i	0.0469660	−	0.0341228i
$711$	0.443741	+	0.322397i	0.0166416	+	0.0120908i
$712$	3.80806			0.142713
$713$	15.0659	−	41.7824i	0.564221	−	1.56476i
$714$	−1.61193			−0.0603251
$715$	30.6150	+	22.2431i	1.14494	+	0.831846i
$716$	−7.59873	+	5.52080i	−0.283978	+	0.206322i
$717$	−0.0657790	−	0.202447i	−0.00245656	−	0.00756052i
$718$	−0.00532255			−0.000198636
$719$	12.7817			0.476677			0.238338	−	0.971182i	$-0.423397\pi$
$719$	12.7817			0.476677			0.238338	+	0.971182i	$0.423397\pi$
$720$	4.49917	+	13.8470i	0.167674	+	0.516048i
$721$	−8.09397	+	24.9107i	−0.301435	+	0.927723i
$722$	−0.280004	+	0.861764i	−0.0104207	+	0.0320715i
$723$	−16.9672	−	12.3274i	−0.631017	−	0.458461i
$724$	−0.369224	−	1.13635i	−0.0137221	−	0.0422323i
$725$	31.3738	+	22.7944i	1.16519	+	0.846564i
$726$	−1.01980	+	0.740929i	−0.0378484	+	0.0274985i
$727$	−6.60823	+	20.3380i	−0.245086	+	0.754296i	0.750537	+	0.660829i	$0.229795\pi$
$727$	−6.60823	+	20.3380i	−0.245086	+	0.754296i	−0.995622	+	0.0934673i	$0.970205\pi$
$728$	−6.27793	+	4.56118i	−0.232676	+	0.169049i
$729$	−0.809017	+	0.587785i	−0.0299636	+	0.0217698i
$730$	1.79935	−	5.53781i	0.0665968	−	0.204964i
$731$	4.52977	−	3.29107i	0.167540	−	0.121725i
$732$	−10.0972	−	7.33601i	−0.373201	−	0.271147i
$733$	−6.50250	−	20.0127i	−0.240175	−	0.739184i	−0.996393	−	0.0848633i	$-0.972955\pi$
$733$	−6.50250	−	20.0127i	−0.240175	−	0.739184i	0.756217	−	0.654321i	$-0.227045\pi$
$734$	−2.33950	−	1.69974i	−0.0863524	−	0.0627387i
$735$	−2.65231	+	8.16297i	−0.0978319	+	0.301096i
$736$	4.80172	−	14.7782i	0.176994	−	0.544731i
$737$	−3.59425	−	11.0620i	−0.132396	−	0.407473i
$738$	−0.103720			−0.00381797
$739$	−27.7811			−1.02195			−0.510973	−	0.859597i	$-0.670715\pi$
$739$	−27.7811			−1.02195			−0.510973	+	0.859597i	$0.670715\pi$
$740$	1.32999	+	4.09328i	0.0488913	+	0.150472i
$741$	−21.7272	+	15.7857i	−0.798168	+	0.579903i
$742$	1.66659	+	1.21085i	0.0611823	+	0.0444515i
$743$	29.6418			1.08745			0.543727	−	0.839262i	$-0.317013\pi$
$743$	29.6418			1.08745			0.543727	+	0.839262i	$0.317013\pi$
$744$	−1.01848	−	3.51210i	−0.0373393	−	0.128760i
$745$	31.5007			1.15410
$746$	−3.82226	−	2.77703i	−0.139943	−	0.101674i
$747$	−0.206650	+	0.150140i	−0.00756091	+	0.00549332i
$748$	5.01647	+	15.4391i	0.183420	+	0.564510i
$749$	10.9064			0.398510
$750$	−2.76061			−0.100803
$751$	1.45667	+	4.48317i	0.0531547	+	0.163593i	0.974110	−	0.226075i	$-0.0725895\pi$
$751$	1.45667	+	4.48317i	0.0531547	+	0.163593i	−0.920955	+	0.389669i	$0.872590\pi$
$752$	−2.10202	+	6.46936i	−0.0766529	+	0.235913i
$753$	−8.20078	+	25.2394i	−0.298853	+	0.919776i
$754$	−2.99500	−	2.17599i	−0.109071	−	0.0792450i
$755$	8.65722	+	26.6442i	0.315069	+	0.969681i
$756$	3.47390	+	2.52394i	0.126345	+	0.0917948i
$757$	−3.46488	+	2.51739i	−0.125933	+	0.0914959i	−0.648969	−	0.760815i	$-0.724799\pi$
$757$	−3.46488	+	2.51739i	−0.125933	+	0.0914959i	0.523036	+	0.852311i	$0.324799\pi$
$758$	−0.286085	+	0.880479i	−0.0103911	+	0.0319804i
$759$	−11.8569	+	8.61454i	−0.430378	+	0.312688i
$760$	−9.97645	+	7.24832i	−0.361884	+	0.262924i
$761$	−6.70566	+	20.6379i	−0.243080	+	0.748123i	0.752866	+	0.658174i	$0.228671\pi$
$761$	−6.70566	+	20.6379i	−0.243080	+	0.748123i	−0.995946	+	0.0899499i	$0.971329\pi$
$762$	−0.0499213	+	0.0362700i	−0.00180846	+	0.00131392i
$763$	−25.4923	−	18.5212i	−0.922883	−	0.670514i
$764$	−10.5565	−	32.4896i	−0.381921	−	1.17543i
$765$	−13.7514	−	9.99097i	−0.497183	−	0.361224i
$766$	0.442233	−	1.36105i	0.0159785	−	0.0491768i
$767$	−12.7027	+	39.0948i	−0.458666	+	1.41163i
$768$	4.28234	+	13.1797i	0.154526	+	0.475582i
$769$	20.4596			0.737793			0.368897	−	0.929470i	$-0.379736\pi$
$769$	20.4596			0.737793			0.368897	+	0.929470i	$0.379736\pi$
$770$	2.50893			0.0904155
$771$	−8.06572	−	24.8237i	−0.290480	−	0.894005i
$772$	18.3919	−	13.3625i	0.661940	−	0.480928i
$773$	23.3893	+	16.9933i	0.841253	+	0.611206i	0.922720	−	0.385470i	$-0.125961\pi$
$773$	23.3893	+	16.9933i	0.841253	+	0.611206i	−0.0814672	+	0.996676i	$0.525961\pi$
$774$	0.206658			0.00742819
$775$	−52.3120	−	1.66981i	−1.87910	−	0.0599812i
$776$	6.98406			0.250713
$777$	1.01249	+	0.735614i	0.0363227	+	0.0263900i
$778$	0.171378	−	0.124513i	0.00614420	−	0.00446402i
$779$	0.959221	+	2.95218i	0.0343677	+	0.105773i
$780$	−40.6324			−1.45487
$781$	−4.52992			−0.162093
$782$	1.82548	+	5.61826i	0.0652792	+	0.200909i
$783$	−1.27483	+	3.92351i	−0.0455585	+	0.140215i
$784$	−2.68165	+	8.25328i	−0.0957733	+	0.294760i
$785$	−51.2057	−	37.2031i	−1.82761	−	1.32784i
$786$	1.10396	+	3.39765i	0.0393770	+	0.121190i
$787$	1.15909	+	0.842131i	0.0413172	+	0.0300187i	0.608252	−	0.793744i	$-0.291871\pi$
$787$	1.15909	+	0.842131i	0.0413172	+	0.0300187i	−0.566935	+	0.823763i	$0.691871\pi$
$788$	−19.4052	+	14.0987i	−0.691282	+	0.502246i
$789$	−0.0179669	+	0.0552966i	−0.000639640	+	0.00196861i
$790$	−0.278389	+	0.202262i	−0.00990465	+	0.00719615i
$791$	−5.89033	+	4.27957i	−0.209436	+	0.152164i
$792$	−0.372873	+	1.14759i	−0.0132495	+	0.0407777i
$793$	27.7829	−	20.1855i	0.986600	−	0.716807i
$794$	−3.65337	−	2.65433i	−0.129653	−	0.0941987i
$795$	6.71265	+	20.6594i	0.238073	+	0.732714i
$796$	20.2579	+	14.7183i	0.718024	+	0.521675i
$797$	11.6792	−	35.9450i	0.413700	−	1.27324i	−0.499709	−	0.866193i	$-0.666560\pi$
$797$	11.6792	−	35.9450i	0.413700	−	1.27324i	0.913409	−	0.407044i	$-0.133440\pi$
$798$	−0.550223	+	1.69341i	−0.0194777	+	0.0599462i
$799$	−2.45401	−	7.55267i	−0.0868167	−	0.267194i
$800$	−18.3106			−0.647376
$801$	5.79807			0.204865
$802$	−0.0125590	−	0.0386526i	−0.000443473	−	0.00136487i
$803$	−13.7951	+	10.0227i	−0.486819	+	0.353695i
$804$	10.1037	+	7.34075i	0.356329	+	0.258888i
$805$	−65.8941			−2.32246
$806$	4.99379	+	0.159402i	0.175899	+	0.00561471i
$807$	25.4865			0.897168
$808$	5.97587	+	4.34173i	0.210231	+	0.152741i
$809$	16.1165	−	11.7093i	0.566624	−	0.411677i	−0.267253	−	0.963626i	$-0.586116\pi$
$809$	16.1165	−	11.7093i	0.566624	−	0.411677i	0.833877	+	0.551950i	$0.186116\pi$
$810$	−0.193868	−	0.596664i	−0.00681182	−	0.0209646i
$811$	−16.2353			−0.570097			−0.285049	−	0.958513i	$-0.592010\pi$
$811$	−16.2353			−0.570097			−0.285049	+	0.958513i	$0.592010\pi$
$812$	17.7145			0.621657
$813$	−0.222463	−	0.684670i	−0.00780211	−	0.0240124i
$814$	−0.0539640	+	0.166084i	−0.00189144	+	0.00582124i
$815$	4.89614	−	15.0688i	0.171504	−	0.527836i
$816$	−13.9035	−	10.1015i	−0.486721	−	0.353623i
$817$	−1.91122	−	5.88213i	−0.0668651	−	0.205790i
$818$	1.79089	+	1.30116i	0.0626170	+	0.0454939i
$819$	−9.55865	+	6.94477i	−0.334006	+	0.242670i
$820$	−1.45126	+	4.46652i	−0.0506802	+	0.155978i
$821$	15.6089	−	11.3405i	0.544755	−	0.395788i	−0.281093	−	0.959681i	$-0.590697\pi$
$821$	15.6089	−	11.3405i	0.544755	−	0.395788i	0.825848	+	0.563893i	$0.190697\pi$
$822$	−2.95808	+	2.14917i	−0.103175	+	0.0749610i
$823$	−7.82297	+	24.0766i	−0.272692	+	0.839259i	0.717129	+	0.696940i	$0.245456\pi$
$823$	−7.82297	+	24.0766i	−0.272692	+	0.839259i	−0.989821	+	0.142319i	$0.954544\pi$
$824$	6.39368	−	4.64528i	0.222734	−	0.161826i
$825$	13.9720	+	10.1512i	0.486442	+	0.353421i
$826$	0.842182	+	2.59197i	0.0293032	+	0.0901861i
$827$	−18.6574	−	13.5554i	−0.648781	−	0.471367i	0.214074	−	0.976817i	$-0.431326\pi$
$827$	−18.6574	−	13.5554i	−0.648781	−	0.471367i	−0.862856	+	0.505450i	$0.831326\pi$
$828$	4.86285	−	14.9663i	0.168996	−	0.520116i
$829$	13.5217	−	41.6156i	0.469629	−	1.44537i	−0.383437	−	0.923567i	$-0.625260\pi$
$829$	13.5217	−	41.6156i	0.469629	−	1.44537i	0.853066	−	0.521803i	$-0.174740\pi$
$830$	−0.0495202	−	0.152408i	−0.00171887	−	0.00529014i
$831$	−32.7466			−1.13597
$832$	−39.9032			−1.38339
$833$	−3.13070	−	9.63531i	−0.108472	−	0.333844i
$834$	−1.33167	+	0.967514i	−0.0461119	+	0.0335023i
$835$	27.4459	+	19.9406i	0.949804	+	0.690073i
$836$	17.9319			0.620187
$837$	−1.55072	−	5.34745i	−0.0536007	−	0.184835i
$838$	−3.10057			−0.107107
$839$	−45.8543	−	33.3151i	−1.58307	−	1.15017i	−0.913071	−	0.407800i	$-0.866296\pi$
$839$	−45.8543	−	33.3151i	−1.58307	−	1.15017i	−0.669995	−	0.742365i	$-0.733704\pi$
$840$	−4.38904	+	3.18882i	−0.151436	+	0.110025i
$841$	−3.70230	−	11.3945i	−0.127666	−	0.392914i
$842$	0.296338			0.0102125
$843$	12.2721			0.422672
$844$	12.2721	+	37.7698i	0.422424	+	1.30009i
$845$	19.3044	−	59.4129i	0.664092	−	2.04386i
$846$	0.0905756	−	0.278763i	0.00311405	−	0.00958407i
$847$	13.4272	+	9.75541i	0.461363	+	0.335200i
$848$	6.78692	+	20.8880i	0.233064	+	0.717296i
$849$	4.35442	+	3.16367i	0.149443	+	0.108577i
$850$	5.63171	−	4.09167i	0.193166	−	0.140343i
$851$	1.41730	−	4.36201i	0.0485845	−	0.149528i
$852$	3.93499	−	2.85893i	0.134810	−	0.0979455i
$853$	−8.91433	+	6.47664i	−0.305221	+	0.221756i	−0.729843	−	0.683615i	$-0.760407\pi$
$853$	−8.91433	+	6.47664i	−0.305221	+	0.221756i	0.424622	+	0.905371i	$0.360407\pi$
$854$	0.703580	−	2.16540i	0.0240760	−	0.0740983i
$855$	−15.1899	+	11.0361i	−0.519485	+	0.377428i
$856$	−2.66226	−	1.93425i	−0.0909943	−	0.0661112i
$857$	−8.20636	−	25.2566i	−0.280324	−	0.862749i	−0.987761	−	0.155973i	$-0.950149\pi$
$857$	−8.20636	−	25.2566i	−0.280324	−	0.862749i	0.707437	−	0.706776i	$-0.249851\pi$
$858$	−1.33379	−	0.969054i	−0.0455348	−	0.0330829i
$859$	−9.81939	+	30.2210i	−0.335033	+	1.03113i	0.631672	+	0.775235i	$0.282369\pi$
$859$	−9.81939	+	30.2210i	−0.335033	+	1.03113i	−0.966706	+	0.255891i	$0.917631\pi$
$860$	2.89160	−	8.89942i	0.0986026	−	0.303468i
$861$	0.422000	+	1.29878i	0.0143817	+	0.0442623i
$862$	6.43289			0.219105
$863$	33.7840			1.15002			0.575011	−	0.818146i	$-0.304998\pi$
$863$	33.7840			1.15002			0.575011	+	0.818146i	$0.304998\pi$
$864$	−0.601925	−	1.85253i	−0.0204779	−	0.0630245i
$865$	−40.0285	+	29.0824i	−1.36101	+	0.988830i
$866$	0.587857	+	0.427103i	0.0199762	+	0.0145136i
$867$	3.06348			0.104041
$868$	−19.7804	+	13.4285i	−0.671389	+	0.455792i
$869$	1.00770			0.0341838
$870$	−2.09387	−	1.52128i	−0.0709888	−	0.0515764i
$871$	−27.8008	+	20.1985i	−0.941996	+	0.684400i
$872$	2.93797	+	9.04214i	0.0994922	+	0.306205i
$873$	10.6338			0.359899
$874$	6.52537			0.220724
$875$	11.2320	+	34.5685i	0.379710	+	1.16863i
$876$	5.65777	−	17.4128i	0.191158	−	0.588325i
$877$	14.5494	−	44.7783i	0.491297	−	1.51206i	−0.331352	−	0.943507i	$-0.607505\pi$
$877$	14.5494	−	44.7783i	0.491297	−	1.51206i	0.822649	−	0.568549i	$-0.192495\pi$
$878$	−2.85755	−	2.07613i	−0.0964375	−	0.0700659i
$879$	−4.77290	−	14.6895i	−0.160986	−	0.495463i
$880$	21.6404	+	15.7227i	0.729499	+	0.530012i
$881$	−19.1363	+	13.9034i	−0.644720	+	0.468416i	−0.861468	−	0.507811i	$-0.830455\pi$
$881$	−19.1363	+	13.9034i	−0.644720	+	0.468416i	0.216749	+	0.976227i	$0.430455\pi$
$882$	0.115552	−	0.355631i	0.00389083	−	0.0119747i
$883$	−22.1615	+	16.1012i	−0.745792	+	0.541850i	−0.894520	−	0.447028i	$-0.852482\pi$
$883$	−22.1615	+	16.1012i	−0.745792	+	0.541850i	0.148727	+	0.988878i	$0.452482\pi$
$884$	38.8014	−	28.1909i	1.30503	−	0.948162i
$885$	−8.88071	+	27.3320i	−0.298522	+	0.918756i
$886$	−3.72499	+	2.70636i	−0.125143	+	0.0909220i
$887$	−3.85119	−	2.79805i	−0.129310	−	0.0939494i	0.521250	−	0.853404i	$-0.325466\pi$
$887$	−3.85119	−	2.79805i	−0.129310	−	0.0939494i	−0.650560	+	0.759455i	$0.725466\pi$
$888$	−0.116688	−	0.359130i	−0.00391580	−	0.0120516i
$889$	0.657287	+	0.477547i	0.0220447	+	0.0160164i
$890$	−1.12406	+	3.45950i	−0.0376785	+	0.115963i
$891$	−0.567729	+	1.74729i	−0.0190196	+	0.0585364i
$892$	1.92743	+	5.93203i	0.0645353	+	0.198619i
$893$	−8.77211			−0.293547
$894$	−1.37237			−0.0458991
$895$	−5.58338	−	17.1839i	−0.186632	−	0.574394i
$896$	−9.00078	+	6.53945i	−0.300695	+	0.218468i
$897$	35.0304	+	25.4511i	1.16963	+	0.849787i
$898$	4.13307			0.137922
$899$	−18.1424	−	14.0870i	−0.605084	−	0.469829i
$900$	−18.5437			−0.618122
$901$	−20.7437	−	15.0712i	−0.691074	−	0.502095i
$902$	−0.154162	+	0.112005i	−0.00513303	+	0.00372937i
$903$	−0.840822	−	2.58778i	−0.0279808	−	0.0861161i
$904$	2.19683			0.0730653
$905$	2.29847			0.0764038
$906$	−0.377164	−	1.16079i	−0.0125304	−	0.0385647i
$907$	−1.22381	+	3.76650i	−0.0406359	+	0.125064i	−0.969316	−	0.245816i	$-0.920944\pi$
$907$	−1.22381	+	3.76650i	−0.0406359	+	0.125064i	0.928681	+	0.370881i	$0.120944\pi$
$908$	−12.5509	+	38.6277i	−0.416516	+	1.28190i
$909$	9.09875	+	6.61063i	0.301786	+	0.219261i
$910$	−2.29058	−	7.04967i	−0.0759319	−	0.233694i
$911$	−15.9452	−	11.5848i	−0.528287	−	0.383823i	0.291430	−	0.956592i	$-0.405869\pi$
$911$	−15.9452	−	11.5848i	−0.528287	−	0.383823i	−0.819716	+	0.572770i	$0.805869\pi$
$912$	−15.3580	+	11.1582i	−0.508554	+	0.369486i
$913$	−0.145017	+	0.446315i	−0.00479935	+	0.0147709i
$914$	−0.945246	+	0.686762i	−0.0312660	+	0.0227161i
$915$	19.4236	−	14.1121i	0.642126	−	0.466532i
$916$	−8.73558	+	26.8853i	−0.288632	+	0.888317i
$917$	38.0538	−	27.6477i	1.25665	−	0.913008i
$918$	0.599099	+	0.435271i	0.0197732	+	0.0143661i
$919$	−15.7080	−	48.3442i	−0.518158	−	1.59473i	−0.777461	−	0.628931i	$-0.783493\pi$
$919$	−15.7080	−	48.3442i	−0.518158	−	1.59473i	0.259302	−	0.965796i	$-0.416507\pi$
$920$	16.0849	+	11.6864i	0.530303	+	0.385288i
$921$	2.42235	−	7.45524i	0.0798192	−	0.245658i
$922$	−0.425813	+	1.31052i	−0.0140234	+	0.0431596i
$923$	4.13568	+	12.7283i	0.136128	+	0.418957i
$924$	7.88894			0.259527
$925$	−5.40464			−0.177703
$926$	−0.872173	−	2.68427i	−0.0286614	−	0.0882107i
$927$	9.73489	−	7.07281i	0.319736	−	0.232302i
$928$	−6.50109	−	4.72332i	−0.213409	−	0.155050i
$929$	39.5892			1.29888			0.649440	−	0.760413i	$-0.275004\pi$
$929$	39.5892			1.29888			0.649440	+	0.760413i	$0.275004\pi$
$930$	3.49127	+	0.111442i	0.114483	+	0.00365432i
$931$	−11.1910			−0.366770
$932$	41.3033	+	30.0086i	1.35293	+	0.982964i
$933$	−14.8493	+	10.7887i	−0.486145	+	0.353205i
$934$	2.03035	+	6.24877i	0.0664350	+	0.204466i
$935$	−31.2282			−1.02127
$936$	3.56494			0.116524
$937$	10.8973	+	33.5384i	0.355999	+	1.09565i	0.955428	+	0.295224i	$0.0953941\pi$
$937$	10.8973	+	33.5384i	0.355999	+	1.09565i	−0.599430	+	0.800428i	$0.704606\pi$
$938$	−0.704034	+	2.16679i	−0.0229875	+	0.0707484i
$939$	2.77185	−	8.53088i	0.0904560	−	0.278395i
$940$	−10.7371	−	7.80098i	−0.350207	−	0.254440i
$941$	−16.4461	−	50.6160i	−0.536129	−	1.65003i	−0.741198	−	0.671287i	$-0.765742\pi$
$941$	−16.4461	−	50.6160i	−0.536129	−	1.65003i	0.205069	−	0.978748i	$-0.434258\pi$
$942$	2.23085	+	1.62081i	0.0726849	+	0.0528087i
$943$	4.04889	−	2.94169i	0.131850	−	0.0957946i
$944$	−8.97896	+	27.6344i	−0.292240	+	0.899423i
$945$	−6.68266	+	4.85524i	−0.217387	+	0.157941i
$946$	0.307164	−	0.223167i	0.00998675	−	0.00725580i
$947$	9.03900	−	27.8192i	0.293728	−	0.904002i	−0.689918	−	0.723888i	$-0.742353\pi$
$947$	9.03900	−	27.8192i	0.293728	−	0.904002i	0.983646	−	0.180114i	$-0.0576467\pi$
$948$	−0.875353	+	0.635981i	−0.0284302	+	0.0206557i
$949$	40.7567	+	29.6115i	1.32302	+	0.961229i
$950$	−2.37615	−	7.31305i	−0.0770926	−	0.237267i
$951$	−16.5290	−	12.0090i	−0.535990	−	0.389420i
$952$	1.97884	−	6.09026i	0.0641347	−	0.197386i
$953$	−4.17645	+	12.8538i	−0.135288	+	0.416375i	−0.995635	−	0.0933349i	$-0.970247\pi$
$953$	−4.17645	+	12.8538i	−0.135288	+	0.416375i	0.860346	+	0.509710i	$0.170247\pi$
$954$	−0.292446	−	0.900057i	−0.00946830	−	0.0291404i
$955$	65.7158			2.12651
$956$	0.419912			0.0135809
$957$	2.34212	+	7.20831i	0.0757100	+	0.233012i
$958$	−3.88752	+	2.82445i	−0.125600	+	0.0912539i
$959$	38.9474	+	28.2970i	1.25768	+	0.913757i
$960$	−27.8972			−0.900378
$961$	30.9369	+	1.97703i	0.997964	+	0.0637753i
$962$	0.515936			0.0166344
$963$	−4.05351	−	2.94505i	−0.130622	−	0.0949028i
$964$	33.4706	−	24.3178i	1.07802	−	0.783225i
$965$	13.5140	+	41.5918i	0.435031	+	1.33889i
$966$	2.87077			0.0923656
$967$	40.8022			1.31211			0.656055	−	0.754713i	$-0.272224\pi$
$967$	40.8022			1.31211			0.656055	+	0.754713i	$0.272224\pi$
$968$	−1.54747	−	4.76263i	−0.0497376	−	0.153077i
$969$	6.84855	−	21.0777i	0.220007	−	0.677112i
$970$	−2.06155	+	6.34480i	−0.0661924	+	0.203719i
$971$	30.6447	+	22.2647i	0.983436	+	0.714508i	0.958474	−	0.285180i	$-0.0920535\pi$
$971$	30.6447	+	22.2647i	0.983436	+	0.714508i	0.0249621	+	0.999688i	$0.492054\pi$
$972$	−0.609588	−	1.87612i	−0.0195525	−	0.0601765i
$973$	17.5334	+	12.7387i	0.562093	+	0.408385i
$974$	−1.31248	+	0.953570i	−0.0420544	+	0.0305543i
$975$	15.7673	−	48.5267i	0.504957	−	1.55410i
$976$	19.6385	−	14.2682i	0.628614	−	0.456715i
$977$	−9.12710	+	6.63123i	−0.292002	+	0.212152i	−0.724135	−	0.689658i	$-0.757761\pi$
$977$	−9.12710	+	6.63123i	−0.292002	+	0.212152i	0.432134	+	0.901810i	$0.357761\pi$
$978$	−0.213307	+	0.656492i	−0.00682081	+	0.0209923i
$979$	8.61787	−	6.26125i	0.275428	−	0.200110i
$980$	−13.6979	−	9.95209i	−0.437563	−	0.317908i
$981$	4.47329	+	13.7674i	0.142821	+	0.439559i
$982$	2.70393	+	1.96452i	0.0862860	+	0.0626904i
$983$	2.45209	−	7.54675i	0.0782094	−	0.240704i	−0.904306	−	0.426885i	$-0.859611\pi$
$983$	2.45209	−	7.54675i	0.0782094	−	0.240704i	0.982515	+	0.186181i	$0.0596110\pi$
$984$	0.127328	−	0.391877i	0.00405908	−	0.0124926i
$985$	−14.2585	−	43.8832i	−0.454314	−	1.39824i
$986$	3.05499			0.0972906
$987$	−3.85920			−0.122840
$988$	−16.3713	−	50.3855i	−0.520839	−	1.60298i
$989$	−8.06730	+	5.86124i	−0.256525	+	0.186376i
$990$	−0.932480	−	0.677487i	−0.0296362	−	0.0215319i
$991$	16.3050			0.517944			0.258972	−	0.965885i	$-0.416616\pi$
$991$	16.3050			0.517944			0.258972	+	0.965885i	$0.416616\pi$
$992$	10.8398	+	0.346007i	0.344163	+	0.0109857i
$993$	17.7293			0.562621
$994$	0.717849	+	0.521548i	0.0227688	+	0.0165425i
$995$	−38.9697	+	28.3131i	−1.23542	+	0.897587i
$996$	−0.155709	−	0.479222i	−0.00493382	−	0.0151847i
$997$	34.7532			1.10064			0.550322	−	0.834953i	$-0.314505\pi$
$997$	34.7532			1.10064			0.550322	+	0.834953i	$0.314505\pi$
$998$	−2.48107			−0.0785369
$999$	−0.177667	−	0.546804i	−0.00562115	−	0.0173001i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	93.2.f.b.64.3	yes	16
3.2	odd	2		279.2.i.c.64.2		16
31.4	even	5		2883.2.a.p.1.4		8
31.16	even	5	inner	93.2.f.b.16.3	✓	16
31.27	odd	10		2883.2.a.o.1.4		8
93.35	odd	10		8649.2.a.bh.1.5		8
93.47	odd	10		279.2.i.c.109.2		16
93.89	even	10		8649.2.a.bg.1.5		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
93.2.f.b.16.3	✓	16	31.16	even	5	inner
93.2.f.b.64.3	yes	16	1.1	even	1	trivial
279.2.i.c.64.2		16	3.2	odd	2
279.2.i.c.109.2		16	93.47	odd	10
2883.2.a.o.1.4		8	31.27	odd	10
2883.2.a.p.1.4		8	31.4	even	5
8649.2.a.bg.1.5		8	93.89	even	10
8649.2.a.bh.1.5		8	93.35	odd	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 93 = 3 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	93.f (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.133750 + 0.0971754i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-0.609588 - 1.87612i) q^{4} +3.79477 q^{5} -0.165325 q^{6} +(0.672649 + 2.07020i) q^{7} +(0.202956 - 0.624635i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})\)	\(q+(0.133750 + 0.0971754i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-0.609588 - 1.87612i) q^{4} +3.79477 q^{5} -0.165325 q^{6} +(0.672649 + 2.07020i) q^{7} +(0.202956 - 0.624635i) q^{8} +(0.309017 - 0.951057i) q^{9} +(0.507553 + 0.368759i) q^{10} +(-0.567729 - 1.74729i) q^{11} +(1.59592 + 1.15951i) q^{12} +(-4.39127 + 3.19045i) q^{13} +(-0.111205 + 0.342255i) q^{14} +(-3.07004 + 2.23051i) q^{15} +(-3.10400 + 2.25519i) q^{16} +(1.38416 - 4.26000i) q^{17} +(0.133750 - 0.0971754i) q^{18} +(-4.00286 - 2.90825i) q^{19} +(-2.31325 - 7.11944i) q^{20} +(-1.76102 - 1.27945i) q^{21} +(0.0938596 - 0.288870i) q^{22} +(-2.46512 + 7.58684i) q^{23} +(0.202956 + 0.624635i) q^{24} +9.40030 q^{25} -0.897368 q^{26} +(0.309017 + 0.951057i) q^{27} +(3.47390 - 2.52394i) q^{28} +(3.33754 + 2.42486i) q^{29} -0.627369 q^{30} +(-5.56493 - 0.177633i) q^{31} -1.94787 q^{32} +(1.48633 + 1.07988i) q^{33} +(0.599099 - 0.435271i) q^{34} +(2.55255 + 7.85594i) q^{35} -1.97267 q^{36} -0.574944 q^{37} +(-0.252774 - 0.777959i) q^{38} +(1.67732 - 5.16225i) q^{39} +(0.770172 - 2.37035i) q^{40} +(-0.507553 - 0.368759i) q^{41} +(-0.111205 - 0.342255i) q^{42} +(1.01128 + 0.734741i) q^{43} +(-2.93204 + 2.13025i) q^{44} +(1.17265 - 3.60904i) q^{45} +(-1.06696 + 0.775195i) q^{46} +(1.43433 - 1.04210i) q^{47} +(1.18562 - 3.64897i) q^{48} +(1.82984 - 1.32946i) q^{49} +(1.25729 + 0.913478i) q^{50} +(1.38416 + 4.26000i) q^{51} +(8.66252 + 6.29369i) q^{52} +(1.76892 - 5.44418i) q^{53} +(-0.0510881 + 0.157233i) q^{54} +(-2.15440 - 6.63057i) q^{55} +1.42964 q^{56} +4.94781 q^{57} +(0.210760 + 0.648653i) q^{58} +(6.12685 - 4.45142i) q^{59} +(6.05616 + 4.40006i) q^{60} -6.32685 q^{61} +(-0.727050 - 0.564533i) q^{62} +2.17674 q^{63} +(5.94747 + 4.32109i) q^{64} +(-16.6639 + 12.1070i) q^{65} +(0.0938596 + 0.288870i) q^{66} +6.33093 q^{67} -8.83603 q^{68} +(-2.46512 - 7.58684i) q^{69} +(-0.422000 + 1.29878i) q^{70} +(0.761928 - 2.34497i) q^{71} +(-0.531346 - 0.386046i) q^{72} +(-2.86808 - 8.82704i) q^{73} +(-0.0768990 - 0.0558704i) q^{74} +(-7.60500 + 5.52536i) q^{75} +(-3.01612 + 9.28267i) q^{76} +(3.23536 - 2.35063i) q^{77} +(0.725986 - 0.527459i) q^{78} +(-0.169494 + 0.521649i) q^{79} +(-11.7790 + 8.55792i) q^{80} +(-0.809017 - 0.587785i) q^{81} +(-0.0320511 - 0.0986432i) q^{82} +(-0.206650 - 0.150140i) q^{83} +(-1.32691 + 4.08382i) q^{84} +(5.25256 - 16.1657i) q^{85} +(0.0638610 + 0.196544i) q^{86} -4.12542 q^{87} -1.20664 q^{88} +(1.79170 + 5.51429i) q^{89} +(0.507553 - 0.368759i) q^{90} +(-9.55865 - 6.94477i) q^{91} +15.7365 q^{92} +(4.60653 - 3.12728i) q^{93} +0.293109 q^{94} +(-15.1899 - 11.0361i) q^{95} +(1.57586 - 1.14493i) q^{96} +(3.28602 + 10.1133i) q^{97} +0.373933 q^{98} -1.83721 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 3 q^{2} - 4 q^{3} - 9 q^{4} + 6 q^{5} + 2 q^{6} - 7 q^{7} - 2 q^{8} - 4 q^{9}+O(q^{10}) \) 16 * q - 3 * q^2 - 4 * q^3 - 9 * q^4 + 6 * q^5 + 2 * q^6 - 7 * q^7 - 2 * q^8 - 4 * q^9	\( 16 q - 3 q^{2} - 4 q^{3} - 9 q^{4} + 6 q^{5} + 2 q^{6} - 7 q^{7} - 2 q^{8} - 4 q^{9} - 3 q^{10} + 10 q^{11} - 4 q^{12} - 3 q^{13} - 4 q^{14} - 4 q^{15} - 17 q^{16} - q^{17} - 3 q^{18} - 4 q^{19} + 7 q^{20} + 8 q^{21} + 10 q^{22} + 7 q^{23} - 2 q^{24} + 30 q^{25} - 16 q^{26} - 4 q^{27} + 9 q^{28} - 2 q^{29} + 12 q^{30} - 13 q^{31} + 108 q^{32} - 5 q^{33} - 4 q^{34} - 33 q^{35} + 26 q^{36} - 28 q^{37} - 62 q^{38} + 7 q^{39} - 27 q^{40} + 3 q^{41} - 4 q^{42} - 13 q^{43} - 64 q^{44} + q^{45} - q^{46} - 20 q^{47} - 2 q^{48} + q^{49} - 44 q^{50} - q^{51} + 88 q^{52} - 4 q^{53} + 2 q^{54} - 8 q^{55} + 104 q^{56} - 14 q^{57} - 31 q^{58} + 49 q^{59} - 8 q^{60} - 13 q^{62} - 2 q^{63} - 26 q^{64} - q^{65} + 10 q^{66} + 60 q^{67} - 30 q^{68} + 7 q^{69} + 85 q^{70} + 23 q^{71} - 7 q^{72} - 17 q^{73} + 70 q^{74} - 5 q^{75} + 7 q^{76} + 2 q^{77} + 19 q^{78} - 13 q^{79} - 94 q^{80} - 4 q^{81} - 9 q^{82} - 49 q^{83} - 6 q^{84} - 4 q^{85} + 24 q^{86} - 2 q^{87} - 32 q^{88} + 3 q^{89} - 3 q^{90} - 2 q^{91} - 70 q^{92} + 17 q^{93} + 74 q^{94} - 10 q^{95} - 32 q^{96} + 3 q^{97} - 82 q^{98} - 10 q^{99}+O(q^{100}) \) 16 * q - 3 * q^2 - 4 * q^3 - 9 * q^4 + 6 * q^5 + 2 * q^6 - 7 * q^7 - 2 * q^8 - 4 * q^9 - 3 * q^10 + 10 * q^11 - 4 * q^12 - 3 * q^13 - 4 * q^14 - 4 * q^15 - 17 * q^16 - q^17 - 3 * q^18 - 4 * q^19 + 7 * q^20 + 8 * q^21 + 10 * q^22 + 7 * q^23 - 2 * q^24 + 30 * q^25 - 16 * q^26 - 4 * q^27 + 9 * q^28 - 2 * q^29 + 12 * q^30 - 13 * q^31 + 108 * q^32 - 5 * q^33 - 4 * q^34 - 33 * q^35 + 26 * q^36 - 28 * q^37 - 62 * q^38 + 7 * q^39 - 27 * q^40 + 3 * q^41 - 4 * q^42 - 13 * q^43 - 64 * q^44 + q^45 - q^46 - 20 * q^47 - 2 * q^48 + q^49 - 44 * q^50 - q^51 + 88 * q^52 - 4 * q^53 + 2 * q^54 - 8 * q^55 + 104 * q^56 - 14 * q^57 - 31 * q^58 + 49 * q^59 - 8 * q^60 - 13 * q^62 - 2 * q^63 - 26 * q^64 - q^65 + 10 * q^66 + 60 * q^67 - 30 * q^68 + 7 * q^69 + 85 * q^70 + 23 * q^71 - 7 * q^72 - 17 * q^73 + 70 * q^74 - 5 * q^75 + 7 * q^76 + 2 * q^77 + 19 * q^78 - 13 * q^79 - 94 * q^80 - 4 * q^81 - 9 * q^82 - 49 * q^83 - 6 * q^84 - 4 * q^85 + 24 * q^86 - 2 * q^87 - 32 * q^88 + 3 * q^89 - 3 * q^90 - 2 * q^91 - 70 * q^92 + 17 * q^93 + 74 * q^94 - 10 * q^95 - 32 * q^96 + 3 * q^97 - 82 * q^98 - 10 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more