LMFDB - Embedded newform 633.2.j.a.58.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [633,2,Mod(58,633)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(633, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 12]))

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

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

chi := DirichletCharacter("633.58");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 633 = 3 \cdot 211 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	633.j (of order $7$, degree $6$, 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:	$5.05453044795$
Analytic rank:	$0$
Dimension:	$102$
Relative dimension:	$17$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			58.12
Character	$\chi$	$=$	633.58
Dual form			633.2.j.a.382.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.11057 - 0.534825i) q^{2} +(0.900969 - 0.433884i) q^{3} +(-0.299641 + 0.375738i) q^{4} +(1.61591 + 0.778181i) q^{5} +(0.768542 - 0.963721i) q^{6} +(2.46010 + 1.18472i) q^{7} +(-0.680398 + 2.98102i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})$	\(q+(1.11057 - 0.534825i) q^{2} +(0.900969 - 0.433884i) q^{3} +(-0.299641 + 0.375738i) q^{4} +(1.61591 + 0.778181i) q^{5} +(0.768542 - 0.963721i) q^{6} +(2.46010 + 1.18472i) q^{7} +(-0.680398 + 2.98102i) q^{8} +(0.623490 - 0.781831i) q^{9} +2.21078 q^{10} +(-3.45979 + 1.66615i) q^{11} +(-0.106941 + 0.468537i) q^{12} +(0.199033 + 0.872019i) q^{13} +3.36575 q^{14} +1.79353 q^{15} +(0.624808 + 2.73746i) q^{16} +(0.186191 - 0.815754i) q^{17} +(0.274289 - 1.20174i) q^{18} +1.70870 q^{19} +(-0.776585 + 0.373983i) q^{20} +2.73051 q^{21} +(-2.95126 + 3.70076i) q^{22} +1.98292 q^{23} +(0.680398 + 2.98102i) q^{24} +(-1.11185 - 1.39421i) q^{25} +(0.687418 + 0.861995i) q^{26} +(0.222521 - 0.974928i) q^{27} +(-1.18229 + 0.569362i) q^{28} +(-0.450199 - 1.97245i) q^{29} +(1.99184 - 0.959221i) q^{30} +(0.895885 - 3.92513i) q^{31} +(-1.65491 - 2.07519i) q^{32} +(-2.39425 + 3.00229i) q^{33} +(-0.229507 - 1.00554i) q^{34} +(3.05338 + 3.82881i) q^{35} +(0.106941 + 0.468537i) q^{36} +(-3.45297 - 1.66286i) q^{37} +(1.89764 - 0.913855i) q^{38} +(0.557677 + 0.699305i) q^{39} +(-3.41924 + 4.28759i) q^{40} +(0.274613 - 1.20316i) q^{41} +(3.03243 - 1.46034i) q^{42} +(2.65000 - 11.6104i) q^{43} +(0.410660 - 1.79922i) q^{44} +(1.61591 - 0.778181i) q^{45} +(2.20218 - 1.06051i) q^{46} +(4.00123 + 5.01739i) q^{47} +(1.75067 + 2.19528i) q^{48} +(0.284106 + 0.356258i) q^{49} +(-1.98045 - 0.953735i) q^{50} +(-0.186191 - 0.815754i) q^{51} +(-0.387289 - 0.186508i) q^{52} +(3.66062 + 4.59028i) q^{53} +(-0.274289 - 1.20174i) q^{54} -6.88728 q^{55} +(-5.20553 + 6.52753i) q^{56} +(1.53949 - 0.741377i) q^{57} +(-1.55489 - 1.94977i) q^{58} +(1.73357 - 7.59528i) q^{59} +(-0.537413 + 0.673895i) q^{60} +8.05475 q^{61} +(-1.10431 - 4.83829i) q^{62} +(2.46010 - 1.18472i) q^{63} +(-8.00736 - 3.85614i) q^{64} +(-0.356970 + 1.56399i) q^{65} +(-1.05329 + 4.61477i) q^{66} +(5.33439 + 2.56891i) q^{67} +(0.250719 + 0.314392i) q^{68} +(1.78655 - 0.860357i) q^{69} +(5.43874 + 2.61916i) q^{70} -1.32565 q^{71} +(1.90643 + 2.39059i) q^{72} +(-2.05399 + 2.57563i) q^{73} -4.72412 q^{74} +(-1.60667 - 0.773731i) q^{75} +(-0.511996 + 0.642023i) q^{76} -10.4854 q^{77} +(0.993348 + 0.478371i) q^{78} +(-2.28392 - 10.0065i) q^{79} +(-1.12061 + 4.90971i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(-0.338501 - 1.48307i) q^{82} -12.5398 q^{83} +(-0.818171 + 1.02595i) q^{84} +(0.935672 - 1.17330i) q^{85} +(-3.26651 - 14.3115i) q^{86} +(-1.26143 - 1.58178i) q^{87} +(-2.61278 - 11.4473i) q^{88} +(-5.43122 + 2.61554i) q^{89} +(1.37840 - 1.72846i) q^{90} +(-0.543460 + 2.38106i) q^{91} +(-0.594164 + 0.745058i) q^{92} +(-0.895885 - 3.92513i) q^{93} +(7.12709 + 3.43223i) q^{94} +(2.76111 + 1.32968i) q^{95} +(-2.39141 - 1.15164i) q^{96} +(-5.28704 + 6.62974i) q^{97} +(0.506057 + 0.243704i) q^{98} +(-0.854498 + 3.74380i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 102 q + 7 q^{2} + 17 q^{3} - 23 q^{4} + 2 q^{5} + 7 q^{6} + 2 q^{7} + q^{8} - 17 q^{9}+O(q^{10}) $ 102 * q + 7 * q^2 + 17 * q^3 - 23 * q^4 + 2 * q^5 + 7 * q^6 + 2 * q^7 + q^8 - 17 * q^9	\( 102 q + 7 q^{2} + 17 q^{3} - 23 q^{4} + 2 q^{5} + 7 q^{6} + 2 q^{7} + q^{8} - 17 q^{9} + 12 q^{10} - 6 q^{11} + 9 q^{12} + 6 q^{13} - 10 q^{14} + 12 q^{15} + 21 q^{16} + 3 q^{17} + 16 q^{19} + 10 q^{20} + 12 q^{21} + 12 q^{22} + 30 q^{23} - q^{24} + 9 q^{25} - 29 q^{26} + 17 q^{27} - 30 q^{28} + 9 q^{29} - 33 q^{30} + 34 q^{31} - 13 q^{32} - 8 q^{33} - 47 q^{34} - 29 q^{35} - 9 q^{36} + 17 q^{37} - 23 q^{38} + q^{39} - 26 q^{40} + 12 q^{41} - 11 q^{42} - 11 q^{43} + 37 q^{44} + 2 q^{45} + 27 q^{46} - 12 q^{47} + 28 q^{48} - 37 q^{49} + 98 q^{50} - 3 q^{51} - 4 q^{52} - q^{53} + 26 q^{55} - 81 q^{56} - 2 q^{57} + 15 q^{58} - 39 q^{59} - 10 q^{60} + 116 q^{61} + 61 q^{62} + 2 q^{63} + 33 q^{64} + 45 q^{65} + 9 q^{66} - 85 q^{67} - 83 q^{68} - 2 q^{69} - 8 q^{70} + 36 q^{71} - 20 q^{72} - 25 q^{73} - 76 q^{74} + 5 q^{75} + 56 q^{76} + 76 q^{77} - 6 q^{78} - 14 q^{79} - 124 q^{80} - 17 q^{81} + 23 q^{82} + 14 q^{83} - 19 q^{84} + 67 q^{85} + 61 q^{86} + 12 q^{87} - 123 q^{88} - 20 q^{89} - 23 q^{90} - 54 q^{91} + q^{92} - 34 q^{93} + 65 q^{94} + 19 q^{95} - 64 q^{96} - 30 q^{97} - 57 q^{98} + 8 q^{99}+O(q^{100}) \) 102 * q + 7 * q^2 + 17 * q^3 - 23 * q^4 + 2 * q^5 + 7 * q^6 + 2 * q^7 + q^8 - 17 * q^9 + 12 * q^10 - 6 * q^11 + 9 * q^12 + 6 * q^13 - 10 * q^14 + 12 * q^15 + 21 * q^16 + 3 * q^17 + 16 * q^19 + 10 * q^20 + 12 * q^21 + 12 * q^22 + 30 * q^23 - q^24 + 9 * q^25 - 29 * q^26 + 17 * q^27 - 30 * q^28 + 9 * q^29 - 33 * q^30 + 34 * q^31 - 13 * q^32 - 8 * q^33 - 47 * q^34 - 29 * q^35 - 9 * q^36 + 17 * q^37 - 23 * q^38 + q^39 - 26 * q^40 + 12 * q^41 - 11 * q^42 - 11 * q^43 + 37 * q^44 + 2 * q^45 + 27 * q^46 - 12 * q^47 + 28 * q^48 - 37 * q^49 + 98 * q^50 - 3 * q^51 - 4 * q^52 - q^53 + 26 * q^55 - 81 * q^56 - 2 * q^57 + 15 * q^58 - 39 * q^59 - 10 * q^60 + 116 * q^61 + 61 * q^62 + 2 * q^63 + 33 * q^64 + 45 * q^65 + 9 * q^66 - 85 * q^67 - 83 * q^68 - 2 * q^69 - 8 * q^70 + 36 * q^71 - 20 * q^72 - 25 * q^73 - 76 * q^74 + 5 * q^75 + 56 * q^76 + 76 * q^77 - 6 * q^78 - 14 * q^79 - 124 * q^80 - 17 * q^81 + 23 * q^82 + 14 * q^83 - 19 * q^84 + 67 * q^85 + 61 * q^86 + 12 * q^87 - 123 * q^88 - 20 * q^89 - 23 * q^90 - 54 * q^91 + q^92 - 34 * q^93 + 65 * q^94 + 19 * q^95 - 64 * q^96 - 30 * q^97 - 57 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/633\mathbb{Z}\right)^\times$.

$n$	$212$	$424$
$\chi(n)$	$1$	$e\left(\frac{6}{7}\right)$

Coefficient data

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

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

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

$2$	1.11057	−	0.534825i	0.785295	−	0.378178i	0.00213442	−	0.999998i	$-0.499321\pi$
$2$	1.11057	−	0.534825i	0.785295	−	0.378178i	0.783160	+	0.621820i	$0.213606\pi$
$3$	0.900969	−	0.433884i	0.520175	−	0.250503i
$3$	0.900969	−	0.433884i	0.520175	−	0.250503i
$4$	−0.299641	+	0.375738i	−0.149820	+	0.187869i
$5$	1.61591	+	0.778181i	0.722657	+	0.348013i	0.758791	−	0.651334i	$-0.225790\pi$
$5$	1.61591	+	0.778181i	0.722657	+	0.348013i	−0.0361344	+	0.999347i	$0.511504\pi$
$6$	0.768542	−	0.963721i	0.313756	−	0.393437i
$7$	2.46010	+	1.18472i	0.929831	+	0.447783i	0.836571	−	0.547859i	$-0.184557\pi$
$7$	2.46010	+	1.18472i	0.929831	+	0.447783i	0.0932603	+	0.995642i	$0.470271\pi$
$8$	−0.680398	+	2.98102i	−0.240557	+	1.05395i
$9$	0.623490	−	0.781831i	0.207830	−	0.260610i
$10$	2.21078			0.699110
$11$	−3.45979	+	1.66615i	−1.04317	+	0.502362i	−0.875367	−	0.483459i	$-0.839380\pi$
$11$	−3.45979	+	1.66615i	−1.04317	+	0.502362i	−0.167799	+	0.985821i	$0.553666\pi$
$12$	−0.106941	+	0.468537i	−0.0308711	+	0.135255i
$13$	0.199033	+	0.872019i	0.0552018	+	0.241855i	0.995000	−	0.0998752i	$-0.0318444\pi$
$13$	0.199033	+	0.872019i	0.0552018	+	0.241855i	−0.939798	+	0.341730i	$0.888987\pi$
$14$	3.36575			0.899534
$15$	1.79353			0.463086
$16$	0.624808	+	2.73746i	0.156202	+	0.684366i
$17$	0.186191	−	0.815754i	0.0451579	−	0.197849i	−0.947317	−	0.320297i	$-0.896217\pi$
$17$	0.186191	−	0.815754i	0.0451579	−	0.197849i	0.992475	+	0.122448i	$0.0390744\pi$
$18$	0.274289	−	1.20174i	0.0646506	−	0.283253i
$19$	1.70870			0.392003			0.196001	−	0.980604i	$-0.437204\pi$
$19$	1.70870			0.392003			0.196001	+	0.980604i	$0.437204\pi$
$20$	−0.776585	+	0.373983i	−0.173650	+	0.0836252i
$21$	2.73051			0.595846
$22$	−2.95126	+	3.70076i	−0.629210	+	0.789005i
$23$	1.98292			0.413467			0.206734	−	0.978397i	$-0.433717\pi$
$23$	1.98292			0.413467			0.206734	+	0.978397i	$0.433717\pi$
$24$	0.680398	+	2.98102i	0.138886	+	0.608498i
$25$	−1.11185	−	1.39421i	−0.222370	−	0.278843i
$26$	0.687418	+	0.861995i	0.134814	+	0.169051i
$27$	0.222521	−	0.974928i	0.0428242	−	0.187625i
$28$	−1.18229	+	0.569362i	−0.223432	+	0.107599i
$29$	−0.450199	−	1.97245i	−0.0835998	−	0.366275i	0.915773	−	0.401697i	$-0.131579\pi$
$29$	−0.450199	−	1.97245i	−0.0835998	−	0.366275i	−0.999372	+	0.0354224i	$0.988722\pi$
$30$	1.99184	−	0.959221i	0.363659	−	0.175129i
$31$	0.895885	−	3.92513i	0.160906	−	0.704974i	−0.828523	−	0.559955i	$-0.810818\pi$
$31$	0.895885	−	3.92513i	0.160906	−	0.704974i	0.989429	−	0.145019i	$-0.0463244\pi$
$32$	−1.65491	−	2.07519i	−0.292549	−	0.366845i
$33$	−2.39425	+	3.00229i	−0.416785	+	0.522632i
$34$	−0.229507	−	1.00554i	−0.0393601	−	0.172448i
$35$	3.05338	+	3.82881i	0.516115	+	0.647187i
$36$	0.106941	+	0.468537i	0.0178234	+	0.0780895i
$37$	−3.45297	−	1.66286i	−0.567665	−	0.273373i	0.127959	−	0.991779i	$-0.459157\pi$
$37$	−3.45297	−	1.66286i	−0.567665	−	0.273373i	−0.695623	+	0.718407i	$0.744872\pi$
$38$	1.89764	−	0.913855i	0.307838	−	0.148247i
$39$	0.557677	+	0.699305i	0.0892999	+	0.111978i
$40$	−3.41924	+	4.28759i	−0.540629	+	0.677927i
$41$	0.274613	−	1.20316i	0.0428874	−	0.187902i	−0.948947	−	0.315436i	$-0.897849\pi$
$41$	0.274613	−	1.20316i	0.0428874	−	0.187902i	0.991834	+	0.127534i	$0.0407063\pi$
$42$	3.03243	−	1.46034i	0.467914	−	0.225336i
$43$	2.65000	−	11.6104i	0.404122	−	1.77057i	−0.206292	−	0.978491i	$-0.566140\pi$
$43$	2.65000	−	11.6104i	0.404122	−	1.77057i	0.610414	−	0.792083i	$-0.291003\pi$
$44$	0.410660	−	1.79922i	0.0619093	−	0.271242i
$45$	1.61591	−	0.778181i	0.240886	−	0.116004i
$46$	2.20218	−	1.06051i	0.324694	−	0.156364i
$47$	4.00123	+	5.01739i	0.583640	+	0.731861i	0.982729	−	0.185051i	$-0.0592451\pi$
$47$	4.00123	+	5.01739i	0.583640	+	0.731861i	−0.399089	+	0.916912i	$0.630674\pi$
$48$	1.75067	+	2.19528i	0.252688	+	0.316861i
$49$	0.284106	+	0.356258i	0.0405866	+	0.0508940i
$50$	−1.98045	−	0.953735i	−0.280078	−	0.134879i
$51$	−0.186191	−	0.815754i	−0.0260719	−	0.114228i
$52$	−0.387289	−	0.186508i	−0.0537073	−	0.0258641i
$53$	3.66062	+	4.59028i	0.502825	+	0.630523i	0.966864	−	0.255292i	$-0.0821715\pi$
$53$	3.66062	+	4.59028i	0.502825	+	0.630523i	−0.464039	+	0.885815i	$0.653600\pi$
$54$	−0.274289	−	1.20174i	−0.0373260	−	0.163536i
$55$	−6.88728			−0.928680
$56$	−5.20553	+	6.52753i	−0.695618	+	0.872278i
$57$	1.53949	−	0.741377i	0.203910	−	0.0981978i
$58$	−1.55489	−	1.94977i	−0.204168	−	0.256018i
$59$	1.73357	−	7.59528i	0.225692	−	0.988822i	−0.727417	−	0.686195i	$-0.759280\pi$
$59$	1.73357	−	7.59528i	0.225692	−	0.988822i	0.953109	−	0.302626i	$-0.0978634\pi$
$60$	−0.537413	+	0.673895i	−0.0693798	+	0.0869995i
$61$	8.05475			1.03131			0.515653	−	0.856798i	$-0.327549\pi$
$61$	8.05475			1.03131			0.515653	+	0.856798i	$0.327549\pi$
$62$	−1.10431	−	4.83829i	−0.140247	−	0.614463i
$63$	2.46010	−	1.18472i	0.309944	−	0.149261i
$64$	−8.00736	−	3.85614i	−1.00092	−	0.482017i
$65$	−0.356970	+	1.56399i	−0.0442767	+	0.193989i
$66$	−1.05329	+	4.61477i	−0.129651	+	0.568039i
$67$	5.33439	+	2.56891i	0.651700	+	0.313842i	0.730363	−	0.683059i	$-0.239351\pi$
$67$	5.33439	+	2.56891i	0.651700	+	0.313842i	−0.0786632	+	0.996901i	$0.525065\pi$
$68$	0.250719	+	0.314392i	0.0304042	+	0.0381256i
$69$	1.78655	−	0.860357i	0.215075	−	0.103575i
$70$	5.43874	+	2.61916i	0.650054	+	0.313050i
$71$	−1.32565			−0.157326			−0.0786628	−	0.996901i	$-0.525065\pi$
$71$	−1.32565			−0.157326			−0.0786628	+	0.996901i	$0.525065\pi$
$72$	1.90643	+	2.39059i	0.224675	+	0.281734i
$73$	−2.05399	+	2.57563i	−0.240402	+	0.301454i	−0.887366	−	0.461066i	$-0.847467\pi$
$73$	−2.05399	+	2.57563i	−0.240402	+	0.301454i	0.646964	+	0.762521i	$0.276038\pi$
$74$	−4.72412			−0.549168
$75$	−1.60667	−	0.773731i	−0.185522	−	0.0893427i
$76$	−0.511996	+	0.642023i	−0.0587300	+	0.0736451i
$77$	−10.4854			−1.19492
$78$	0.993348	+	0.478371i	0.112475	+	0.0541649i
$79$	−2.28392	−	10.0065i	−0.256962	−	1.12582i	−0.924481	−	0.381229i	$-0.875501\pi$
$79$	−2.28392	−	10.0065i	−0.256962	−	1.12582i	0.667519	−	0.744593i	$-0.267356\pi$
$80$	−1.12061	+	4.90971i	−0.125288	+	0.548923i
$81$	−0.222521	−	0.974928i	−0.0247245	−	0.108325i
$82$	−0.338501	−	1.48307i	−0.0373811	−	0.163777i
$83$	−12.5398			−1.37643			−0.688213	−	0.725509i	$-0.741605\pi$
$83$	−12.5398			−1.37643			−0.688213	+	0.725509i	$0.741605\pi$
$84$	−0.818171	+	1.02595i	−0.0892698	+	0.111941i
$85$	0.935672	−	1.17330i	0.101488	−	0.127262i
$86$	−3.26651	−	14.3115i	−0.352237	−	1.54325i
$87$	−1.26143	−	1.58178i	−0.135239	−	0.169585i
$88$	−2.61278	−	11.4473i	−0.278524	−	1.22029i
$89$	−5.43122	+	2.61554i	−0.575708	+	0.277246i	−0.698997	−	0.715125i	$-0.746370\pi$
$89$	−5.43122	+	2.61554i	−0.575708	+	0.277246i	0.123289	+	0.992371i	$0.460656\pi$
$90$	1.37840	−	1.72846i	0.145296	−	0.182195i
$91$	−0.543460	+	2.38106i	−0.0569701	+	0.249602i
$92$	−0.594164	+	0.745058i	−0.0619458	+	0.0776776i
$93$	−0.895885	−	3.92513i	−0.0928989	−	0.407017i
$94$	7.12709	+	3.43223i	0.735103	+	0.354007i
$95$	2.76111	+	1.32968i	0.283283	+	0.136422i
$96$	−2.39141	−	1.15164i	−0.244072	−	0.117539i
$97$	−5.28704	+	6.62974i	−0.536818	+	0.673148i	−0.974085	−	0.226184i	$-0.927375\pi$
$97$	−5.28704	+	6.62974i	−0.536818	+	0.673148i	0.437267	+	0.899332i	$0.355947\pi$
$98$	0.506057	+	0.243704i	0.0511194	+	0.0246178i
$99$	−0.854498	+	3.74380i	−0.0858802	+	0.376266i
$100$	0.857014			0.0857014
$101$	−4.54494	+	2.18873i	−0.452239	+	0.217787i	−0.646116	−	0.763239i	$-0.723608\pi$
$101$	−4.54494	+	2.18873i	−0.452239	+	0.217787i	0.193877	+	0.981026i	$0.437894\pi$
$102$	−0.643064	−	0.806377i	−0.0636728	−	0.0798432i
$103$	−2.58812	−	3.24539i	−0.255015	−	0.319778i	0.637800	−	0.770202i	$-0.279844\pi$
$103$	−2.58812	−	3.24539i	−0.255015	−	0.319778i	−0.892815	+	0.450423i	$0.851273\pi$
$104$	−2.73493			−0.268182
$105$	4.41226	+	2.12483i	0.430592	+	0.207362i
$106$	6.52039	+	3.14005i	0.633316	+	0.304989i
$107$	−13.6705			−1.32158			−0.660788	−	0.750572i	$-0.729778\pi$
$107$	−13.6705			−1.32158			−0.660788	+	0.750572i	$0.729778\pi$
$108$	0.299641	+	0.375738i	0.0288329	+	0.0361554i
$109$	10.3309	+	12.9546i	0.989523	+	1.24082i	0.970524	+	0.241003i	$0.0774765\pi$
$109$	10.3309	+	12.9546i	0.989523	+	1.24082i	0.0189989	+	0.999820i	$0.493952\pi$
$110$	−7.64883	+	3.68348i	−0.729288	+	0.351206i
$111$	−3.83251			−0.363766
$112$	−1.70604	+	7.47467i	−0.161206	+	0.706290i
$113$	−6.65857	−	3.20660i	−0.626386	−	0.301652i	0.0936322	−	0.995607i	$-0.470152\pi$
$113$	−6.65857	−	3.20660i	−0.626386	−	0.301652i	−0.720018	+	0.693955i	$0.755867\pi$
$114$	1.31321	−	1.64671i	0.122993	−	0.154228i
$115$	3.20422	+	1.54307i	0.298795	+	0.143892i
$116$	0.876021	+	0.421870i	0.0813365	+	0.0391696i
$117$	0.805867	+	0.388085i	0.0745024	+	0.0358785i
$118$	−2.13688	−	9.36229i	−0.196716	−	0.861868i
$119$	1.42449	−	1.78625i	0.130583	−	0.163746i
$120$	−1.22031	+	5.34653i	−0.111399	+	0.488070i
$121$	2.33571	−	2.92889i	0.212338	−	0.266263i
$122$	8.94540	−	4.30788i	0.809879	−	0.390017i
$123$	−0.274613	−	1.20316i	−0.0247610	−	0.108485i
$124$	1.20637	+	1.51275i	0.108336	+	0.135849i
$125$	−2.70718	−	11.8609i	−0.242138	−	1.06087i
$126$	2.09851	−	2.63145i	0.186950	−	0.234428i
$127$	7.33528	−	9.19815i	0.650901	−	0.816204i	−0.341418	−	0.939912i	$-0.610907\pi$
$127$	7.33528	−	9.19815i	0.650901	−	0.816204i	0.992319	+	0.123708i	$0.0394785\pi$
$128$	−5.64659			−0.499093
$129$	−2.65000	−	11.6104i	−0.233320	−	1.02224i
$130$	0.440018	+	1.92784i	0.0385921	+	0.169083i
$131$	−3.92574	+	17.1998i	−0.342993	+	1.50275i	0.449727	+	0.893166i	$0.351521\pi$
$131$	−3.92574	+	17.1998i	−0.342993	+	1.50275i	−0.792721	+	0.609585i	$0.791336\pi$
$132$	−0.410660	−	1.79922i	−0.0357434	−	0.156602i
$133$	4.20358	+	2.02434i	0.364496	+	0.175532i
$134$	7.29816			0.630465
$135$	1.11824	−	1.40223i	0.0962432	−	0.120685i
$136$	2.30510	+	1.11008i	0.197660	+	0.0951882i
$137$	−7.04755			−0.602112			−0.301056	−	0.953606i	$-0.597339\pi$
$137$	−7.04755			−0.602112			−0.301056	+	0.953606i	$0.597339\pi$
$138$	1.52396	−	1.91098i	0.129728	−	0.162673i
$139$	2.26382	+	2.83874i	0.192014	+	0.240779i	0.868514	−	0.495664i	$-0.165075\pi$
$139$	2.26382	+	2.83874i	0.192014	+	0.240779i	−0.676500	+	0.736443i	$0.736504\pi$
$140$	−2.35354			−0.198911
$141$	5.78195	+	2.78444i	0.486928	+	0.234492i
$142$	−1.47223	+	0.708990i	−0.123547	+	0.0594971i
$143$	−2.14152	−	2.68539i	−0.179083	−	0.224563i
$144$	2.52980	+	1.21829i	0.210816	+	0.101524i
$145$	0.807443	−	3.53764i	0.0670545	−	0.293785i
$146$	−0.903604	+	3.95895i	−0.0747828	+	0.327645i
$147$	0.410545	+	0.197708i	0.0338612	+	0.0163067i
$148$	1.65945	−	0.799149i	0.136406	−	0.0656897i
$149$	3.10716	+	13.6134i	0.254548	+	1.11525i	0.926986	+	0.375096i	$0.122390\pi$
$149$	3.10716	+	13.6134i	0.254548	+	1.11525i	−0.672438	+	0.740154i	$0.734753\pi$
$150$	−2.19814			−0.179477
$151$	−3.89551	+	4.88482i	−0.317012	+	0.397521i	−0.914651	−	0.404245i	$-0.867534\pi$
$151$	−3.89551	+	4.88482i	−0.317012	+	0.397521i	0.597639	+	0.801766i	$0.296106\pi$
$152$	−1.16260	+	5.09367i	−0.0942990	+	0.413151i
$153$	−0.521694	−	0.654184i	−0.0421765	−	0.0528877i
$154$	−11.6448	+	5.60783i	−0.938363	+	0.451892i
$155$	4.50213	−	5.64550i	0.361620	−	0.453457i
$156$	−0.429858			−0.0344162
$157$	2.38573	+	10.4526i	0.190402	+	0.834207i	0.976399	+	0.215976i	$0.0692933\pi$
$157$	2.38573	+	10.4526i	0.190402	+	0.834207i	−0.785996	+	0.618231i	$0.787850\pi$
$158$	−7.88820	−	9.89150i	−0.627552	−	0.786925i
$159$	5.28976	+	2.54741i	0.419505	+	0.202023i
$160$	−1.05931	−	4.64114i	−0.0837457	−	0.366914i
$161$	4.87819	+	2.34921i	0.384455	+	0.185144i
$162$	−0.768542	−	0.963721i	−0.0603823	−	0.0757170i
$163$	−6.45424	−	8.09337i	−0.505535	−	0.633921i	0.461933	−	0.886915i	$-0.347156\pi$
$163$	−6.45424	−	8.09337i	−0.505535	−	0.633921i	−0.967468	+	0.252994i	$0.918585\pi$
$164$	0.369787	+	0.463698i	0.0288755	+	0.0362087i
$165$	−6.20522	+	2.98828i	−0.483076	+	0.232637i
$166$	−13.9264	+	6.70661i	−1.08090	+	0.520534i
$167$	−2.93523	+	12.8601i	−0.227135	+	0.995143i	0.724828	+	0.688930i	$0.241919\pi$
$167$	−2.93523	+	12.8601i	−0.227135	+	0.995143i	−0.951963	+	0.306213i	$0.900938\pi$
$168$	−1.85783	+	8.13970i	−0.143335	+	0.627991i
$169$	10.9918	−	5.29337i	0.845522	−	0.407182i
$170$	0.411626	−	1.80345i	0.0315703	−	0.138319i
$171$	1.06536	−	1.33592i	0.0814699	−	0.102160i
$172$	3.56842	+	4.47466i	0.272090	+	0.341190i
$173$	−1.85834	+	0.894929i	−0.141287	+	0.0680402i	−0.503191	−	0.864175i	$-0.667841\pi$
$173$	−1.85834	+	0.894929i	−0.141287	+	0.0680402i	0.361904	+	0.932215i	$0.382127\pi$
$174$	−2.24689	−	1.08204i	−0.170336	−	0.0820295i
$175$	−1.08350	−	4.74714i	−0.0819052	−	0.358850i
$176$	−6.72272	−	8.43003i	−0.506744	−	0.635437i
$177$	−1.73357	−	7.59528i	−0.130303	−	0.570896i
$178$	−4.63292	+	5.80950i	−0.347252	+	0.435440i
$179$	2.58601	+	3.24275i	0.193287	+	0.242375i	0.869026	−	0.494767i	$-0.164747\pi$
$179$	2.58601	+	3.24275i	0.193287	+	0.242375i	−0.675738	+	0.737142i	$0.736175\pi$
$180$	−0.191801	+	0.840333i	−0.0142960	+	0.0626347i
$181$	8.34372	−	4.01813i	0.620184	−	0.298665i	−0.0972836	−	0.995257i	$-0.531015\pi$
$181$	8.34372	−	4.01813i	0.620184	−	0.298665i	0.717468	+	0.696592i	$0.245301\pi$
$182$	0.669894	+	2.93500i	0.0496558	+	0.217556i
$183$	7.25708	−	3.49483i	0.536459	−	0.258345i
$184$	−1.34918	+	5.91112i	−0.0994625	+	0.435774i
$185$	−4.28568	−	5.37407i	−0.315090	−	0.395110i
$186$	−3.09420	−	3.88001i	−0.226878	−	0.284496i
$187$	0.714986	+	3.13256i	0.0522850	+	0.229075i
$188$	−3.08415			−0.224935
$189$	1.70244	−	2.13480i	0.123835	−	0.155284i
$190$	3.77756			0.274053
$191$	1.27815	−	0.615526i	0.0924838	−	0.0445379i	−0.387070	−	0.922050i	$-0.626513\pi$
$191$	1.27815	−	0.615526i	0.0924838	−	0.0445379i	0.479554	+	0.877512i	$0.340799\pi$
$192$	−8.88749			−0.641400
$193$	2.34877	−	10.2906i	0.169068	−	0.740736i	−0.817304	−	0.576207i	$-0.804532\pi$
$193$	2.34877	−	10.2906i	0.169068	−	0.740736i	0.986372	−	0.164529i	$-0.0526105\pi$
$194$	−2.32591	+	10.1905i	−0.166990	+	0.731633i
$195$	0.356970	+	1.56399i	0.0255632	+	0.112000i
$196$	−0.218989			−0.0156421
$197$	13.2356			0.942998			0.471499	−	0.881867i	$-0.343713\pi$
$197$	13.2356			0.942998			0.471499	+	0.881867i	$0.343713\pi$
$198$	1.05329	+	4.61477i	0.0748542	+	0.327958i
$199$	−2.39568	+	10.4961i	−0.169825	+	0.744052i	0.816243	+	0.577709i	$0.196053\pi$
$199$	−2.39568	+	10.4961i	−0.169825	+	0.744052i	−0.986068	+	0.166343i	$0.946804\pi$
$200$	4.91268	−	2.36582i	0.347379	−	0.167289i
$201$	5.92073			0.417616
$202$	−3.87691	+	4.86149i	−0.272779	+	0.342054i
$203$	1.22927	−	5.38579i	0.0862779	−	0.378008i
$204$	0.362300	+	0.174474i	0.0253661	+	0.0122157i
$205$	1.38003	−	1.73050i	0.0963852	−	0.120863i
$206$	−4.61001	−	2.22006i	−0.321195	−	0.154679i
$207$	1.23633	−	1.55031i	0.0859309	−	0.107754i
$208$	−2.26277	+	1.08969i	−0.156895	+	0.0755564i
$209$	−5.91174	+	2.84694i	−0.408924	+	0.196927i
$210$	6.03655			0.416562
$211$	−9.74029	−	10.7762i	−0.670549	−	0.741865i
$211$	−9.74029	−	10.7762i	−0.670549	−	0.741865i
$212$	−2.82161			−0.193789
$213$	−1.19437	+	0.575178i	−0.0818368	+	0.0394105i
$214$	−15.1821	+	7.31132i	−1.03783	+	0.499791i
$215$	13.3172	−	16.6992i	0.908225	−	1.13888i
$216$	2.75488	+	1.32668i	0.187446	+	0.0902690i
$217$	6.85416	−	8.59484i	0.465291	−	0.583456i
$218$	18.4017	+	8.86179i	1.24632	+	0.600196i
$219$	−0.733061	+	3.21175i	−0.0495357	+	0.217030i
$220$	2.06371	−	2.58781i	0.139135	−	0.174470i
$221$	0.748412			0.0503436
$222$	−4.25629	+	2.04972i	−0.285663	+	0.137568i
$223$	4.85891	−	21.2883i	0.325377	−	1.42557i	−0.502461	−	0.864600i	$-0.667572\pi$
$223$	4.85891	−	21.2883i	0.325377	−	1.42557i	0.827837	−	0.560968i	$-0.189571\pi$
$224$	−1.61272	−	7.06578i	−0.107754	−	0.472102i
$225$	−1.78327			−0.118884
$226$	−9.10981			−0.605976
$227$	−0.653357	−	2.86254i	−0.0433648	−	0.189994i	0.948606	−	0.316459i	$-0.102494\pi$
$227$	−0.653357	−	2.86254i	−0.0433648	−	0.189994i	−0.991971	+	0.126465i	$0.959637\pi$
$228$	−0.182729	+	0.800589i	−0.0121015	+	0.0530203i
$229$	−2.88871	+	12.6563i	−0.190891	+	0.836349i	0.785244	+	0.619186i	$0.212537\pi$
$229$	−2.88871	+	12.6563i	−0.190891	+	0.836349i	−0.976135	+	0.217163i	$0.930320\pi$
$230$	4.38380			0.289059
$231$	−9.44698	+	4.54943i	−0.621566	+	0.299330i
$232$	6.18622			0.406145
$233$	2.45419	−	3.07746i	0.160779	−	0.201611i	−0.694916	−	0.719091i	$-0.744558\pi$
$233$	2.45419	−	3.07746i	0.160779	−	0.201611i	0.855695	+	0.517480i	$0.173130\pi$
$234$	1.10253			0.0720749
$235$	2.56120	+	11.2213i	0.167074	+	0.731999i
$236$	2.33438	+	2.92722i	0.151955	+	0.190546i
$237$	−6.39941	−	8.02461i	−0.415687	−	0.521254i
$238$	0.626670	−	2.74562i	0.0406210	−	0.177972i
$239$	−9.62648	+	4.63587i	−0.622685	+	0.299869i	−0.718497	−	0.695530i	$-0.755170\pi$
$239$	−9.62648	+	4.63587i	−0.622685	+	0.299869i	0.0958117	+	0.995399i	$0.469455\pi$
$240$	1.12061	+	4.90971i	0.0723351	+	0.316921i
$241$	20.6149	−	9.92760i	1.32792	−	0.639493i	0.370673	−	0.928763i	$-0.379127\pi$
$241$	20.6149	−	9.92760i	1.32792	−	0.639493i	0.957247	+	0.289271i	$0.0934128\pi$
$242$	1.02754	−	4.50195i	0.0660528	−	0.289396i
$243$	−0.623490	−	0.781831i	−0.0399969	−	0.0501545i
$244$	−2.41353	+	3.02647i	−0.154511	+	0.193750i
$245$	0.181857	+	0.796767i	0.0116184	+	0.0509036i
$246$	−0.948458	−	1.18933i	−0.0604715	−	0.0758288i
$247$	0.340087	+	1.49002i	0.0216392	+	0.0948077i
$248$	11.0913	+	5.34130i	0.704300	+	0.339173i
$249$	−11.2980	+	5.44083i	−0.715982	+	0.344799i
$250$	−9.35005	−	11.7246i	−0.591349	−	0.741528i
$251$	18.6197	−	23.3484i	1.17527	−	1.47374i	0.326319	−	0.945260i	$-0.394192\pi$
$251$	18.6197	−	23.3484i	1.17527	−	1.47374i	0.848948	−	0.528477i	$-0.177237\pi$
$252$	−0.292002	+	1.27934i	−0.0183944	+	0.0805911i
$253$	−6.86049	+	3.30384i	−0.431315	+	0.207710i
$254$	3.22698	−	14.1383i	0.202479	−	0.887117i
$255$	0.333938	−	1.46308i	0.0209120	−	0.0916214i
$256$	9.74375	−	4.69234i	0.608984	−	0.293271i
$257$	−18.3976	+	8.85982i	−1.14761	+	0.552660i	−0.908315	−	0.418287i	$-0.862631\pi$
$257$	−18.3976	+	8.85982i	−1.14761	+	0.552660i	−0.239295	+	0.970947i	$0.576916\pi$
$258$	−9.15257	−	11.4770i	−0.569814	−	0.714524i
$259$	−6.52463	−	8.18162i	−0.405421	−	0.508381i
$260$	−0.480687	−	0.602762i	−0.0298109	−	0.0373817i
$261$	−1.82282	−	0.877822i	−0.112830	−	0.0543358i
$262$	4.83904	+	21.2012i	0.298957	+	1.30982i
$263$	−12.2498	−	5.89918i	−0.755353	−	0.363759i	0.0162458	−	0.999868i	$-0.494829\pi$
$263$	−12.2498	−	5.89918i	−0.755353	−	0.363759i	−0.771599	+	0.636109i	$0.780543\pi$
$264$	−7.32085	−	9.18006i	−0.450567	−	0.564994i
$265$	2.34317	+	10.2661i	0.143940	+	0.630642i
$266$	5.75105			0.352619
$267$	−3.75852	+	4.71303i	−0.230018	+	0.288433i
$268$	−2.56364	+	1.23458i	−0.156599	+	0.0754141i
$269$	14.2434	+	17.8607i	0.868436	+	1.08898i	0.995278	+	0.0970619i	$0.0309445\pi$
$269$	14.2434	+	17.8607i	0.868436	+	1.08898i	−0.126842	+	0.991923i	$0.540484\pi$
$270$	0.491945	−	2.15535i	0.0299388	−	0.131170i
$271$	8.32311	−	10.4368i	0.505593	−	0.633993i	−0.461888	−	0.886938i	$-0.652828\pi$
$271$	8.32311	−	10.4368i	0.505593	−	0.633993i	0.967481	+	0.252945i	$0.0813992\pi$
$272$	2.34943			0.142455
$273$	0.543460	+	2.38106i	0.0328917	+	0.144108i
$274$	−7.82683	+	3.76920i	−0.472836	+	0.227706i
$275$	6.16973	+	2.97118i	0.372049	+	0.179169i
$276$	−0.212055	+	0.929072i	−0.0127642	+	0.0559235i
$277$	−0.771950	+	3.38213i	−0.0463820	+	0.203213i	−0.992810	−	0.119703i	$-0.961806\pi$
$277$	−0.771950	+	3.38213i	−0.0463820	+	0.203213i	0.946428	+	0.322915i	$0.104663\pi$
$278$	4.03236	+	1.94188i	0.241845	+	0.116466i
$279$	−2.51021	−	3.14771i	−0.150283	−	0.188448i
$280$	−13.4913	+	6.49706i	−0.806258	+	0.388273i
$281$	−23.8845	−	11.5022i	−1.42483	−	0.686162i	−0.446801	−	0.894633i	$-0.647437\pi$
$281$	−23.8845	−	11.5022i	−1.42483	−	0.686162i	−0.978028	+	0.208472i	$0.933151\pi$
$282$	7.91047			0.471062
$283$	−2.62383	−	3.29018i	−0.155970	−	0.195581i	0.697706	−	0.716384i	$-0.254204\pi$
$283$	−2.62383	−	3.29018i	−0.155970	−	0.195581i	−0.853677	+	0.520803i	$0.825633\pi$
$284$	0.397219	−	0.498097i	0.0235706	−	0.0295566i
$285$	3.06460			0.181531
$286$	−3.81453	−	1.83698i	−0.225558	−	0.108623i
$287$	2.10099	−	2.63455i	0.124017	−	0.155513i
$288$	−2.65427			−0.156404
$289$	14.6857	+	7.07225i	0.863864	+	0.416015i
$290$	−0.995290	−	4.36065i	−0.0584454	−	0.256066i
$291$	−1.88692	+	8.26715i	−0.110613	+	0.484629i
$292$	−0.352299	−	1.54352i	−0.0206168	−	0.0903279i
$293$	1.06082	+	4.64777i	0.0619739	+	0.271525i	0.996416	−	0.0845901i	$-0.0269581\pi$
$293$	1.06082	+	4.64777i	0.0619739	+	0.271525i	−0.934442	+	0.356116i	$0.884101\pi$
$294$	0.561681			0.0327579
$295$	8.71181	−	10.9243i	0.507221	−	0.636035i
$296$	7.30642	−	9.16196i	0.424677	−	0.532528i
$297$	0.854498	+	3.74380i	0.0495830	+	0.217237i
$298$	10.7315	+	13.4569i	0.621658	+	0.779535i
$299$	0.394666	+	1.72914i	0.0228241	+	0.0999990i
$300$	0.772143	−	0.371844i	0.0445797	−	0.0214684i
$301$	20.2744	−	25.4233i	1.16860	−	1.46538i
$302$	−1.71374	+	7.50837i	−0.0986145	+	0.432058i
$303$	−3.14520	+	3.94395i	−0.180687	+	0.226574i
$304$	1.06761	+	4.67751i	0.0612316	+	0.268273i
$305$	13.0158	+	6.26806i	0.745280	+	0.358908i
$306$	−0.929254	−	0.447505i	−0.0531219	−	0.0255822i
$307$	5.45667	+	2.62779i	0.311429	+	0.149976i	0.583069	−	0.812423i	$-0.301852\pi$
$307$	5.45667	+	2.62779i	0.311429	+	0.149976i	−0.271640	+	0.962399i	$0.587566\pi$
$308$	3.14184	−	3.93974i	0.179023	−	0.224488i
$309$	−3.73994	−	1.80106i	−0.212757	−	0.102459i
$310$	1.98060	−	8.67760i	0.112491	−	0.492854i
$311$	−33.4173			−1.89492			−0.947461	−	0.319871i	$-0.896361\pi$
$311$	−33.4173			−1.89492			−0.947461	+	0.319871i	$0.896361\pi$
$312$	−2.46409	+	1.18664i	−0.139501	+	0.0671803i
$313$	11.4564	+	14.3659i	0.647555	+	0.812008i	0.991925	−	0.126826i	$-0.0404790\pi$
$313$	11.4564	+	14.3659i	0.647555	+	0.812008i	−0.344370	+	0.938834i	$0.611908\pi$
$314$	8.23984	+	10.3324i	0.465001	+	0.583093i
$315$	4.89723			0.275928
$316$	4.44418	+	2.14021i	0.250005	+	0.120396i
$317$	18.9601	+	9.13070i	1.06491	+	0.512831i	0.882461	−	0.470385i	$-0.155885\pi$
$317$	18.9601	+	9.13070i	1.06491	+	0.512831i	0.182444	+	0.983216i	$0.441599\pi$
$318$	7.23709			0.405836
$319$	4.84398	+	6.07416i	0.271211	+	0.340088i
$320$	−9.93839	−	12.4624i	−0.555573	−	0.696667i
$321$	−12.3167	+	5.93140i	−0.687451	+	0.331059i
$322$	6.67400			0.371928
$323$	0.318144	−	1.39388i	0.0177020	−	0.0775575i
$324$	0.432993	+	0.208519i	0.0240552	+	0.0115844i
$325$	0.994488	−	1.24705i	0.0551643	−	0.0691738i
$326$	−11.4965	−	5.53640i	−0.636730	−	0.306633i
$327$	14.9286	+	7.18924i	0.825555	+	0.397566i
$328$	3.39980	+	1.63726i	0.187722	+	0.0904023i
$329$	3.89923	+	17.0836i	0.214971	+	0.941851i
$330$	−5.29316	+	6.63741i	−0.291379	+	0.365377i
$331$	0.0290731	−	0.127378i	0.00159800	−	0.00700131i	−0.974123	−	0.226020i	$-0.927428\pi$
$331$	0.0290731	−	0.127378i	0.00159800	−	0.00700131i	0.975721	+	0.219019i	$0.0702856\pi$
$332$	3.75745	−	4.71169i	0.206217	−	0.258588i
$333$	−3.45297	+	1.66286i	−0.189222	+	0.0911243i
$334$	3.61810	+	15.8519i	0.197973	+	0.867378i
$335$	6.62083	+	8.30225i	0.361734	+	0.453601i
$336$	1.70604	+	7.47467i	0.0930723	+	0.407777i
$337$	−14.0113	+	17.5696i	−0.763244	+	0.957077i	−0.999895	−	0.0145174i	$-0.995379\pi$
$337$	−14.0113	+	17.5696i	−0.763244	+	0.957077i	0.236651	+	0.971595i	$0.423950\pi$
$338$	9.37618	−	11.7574i	0.509997	−	0.639516i
$339$	−7.39046			−0.401395
$340$	0.160486	+	0.703134i	0.00870357	+	0.0381328i
$341$	3.44027	+	15.0728i	0.186301	+	0.816238i
$342$	0.468678	−	2.05341i	0.0253432	−	0.111036i
$343$	−3.97630	−	17.4213i	−0.214700	−	0.940663i
$344$	32.8079	+	15.7994i	1.76888	+	0.851848i
$345$	3.55642			0.191471
$346$	−1.58519	+	1.98777i	−0.0852206	+	0.106863i
$347$	7.21396	+	3.47406i	0.387265	+	0.186497i	0.617378	−	0.786667i	$-0.288195\pi$
$347$	7.21396	+	3.47406i	0.387265	+	0.186497i	−0.230112	+	0.973164i	$0.573909\pi$
$348$	0.972310			0.0521213
$349$	1.13122	−	1.41850i	0.0605527	−	0.0759306i	−0.750633	−	0.660720i	$-0.770251\pi$
$349$	1.13122	−	1.41850i	0.0605527	−	0.0759306i	0.811185	+	0.584789i	$0.198823\pi$
$350$	−3.74220	−	4.69257i	−0.200029	−	0.250828i
$351$	0.894445			0.0477419
$352$	9.18320	+	4.42240i	0.489466	+	0.235715i
$353$	10.5876	−	5.09874i	0.563523	−	0.271378i	−0.130359	−	0.991467i	$-0.541613\pi$
$353$	10.5876	−	5.09874i	0.563523	−	0.271378i	0.693882	+	0.720088i	$0.255899\pi$
$354$	−5.98741	−	7.50797i	−0.318227	−	0.399044i
$355$	−2.14213	−	1.03160i	−0.113693	−	0.0547514i
$356$	0.644659	−	2.82443i	0.0341668	−	0.149695i
$357$	0.508395	−	2.22742i	0.0269071	−	0.117888i
$358$	4.60626	+	2.21826i	0.243448	+	0.117239i
$359$	15.9673	−	7.68944i	0.842721	−	0.405833i	0.0378503	−	0.999283i	$-0.487949\pi$
$359$	15.9673	−	7.68944i	0.842721	−	0.405833i	0.804871	+	0.593450i	$0.202235\pi$
$360$	1.22031	+	5.34653i	0.0643161	+	0.281787i
$361$	−16.0803			−0.846334
$362$	7.11734	−	8.92486i	0.374079	−	0.469080i
$363$	0.833606	−	3.65227i	0.0437530	−	0.191694i
$364$	−0.731809	−	0.917660i	−0.0383572	−	0.0480984i
$365$	−5.32337	+	2.56360i	−0.278638	+	0.134185i
$366$	6.19041	−	7.76253i	0.323578	−	0.405754i
$367$	6.04733			0.315668			0.157834	−	0.987466i	$-0.449549\pi$
$367$	6.04733			0.315668			0.157834	+	0.987466i	$0.449549\pi$
$368$	1.23895	+	5.42817i	0.0645845	+	0.282963i
$369$	−0.769449	−	0.964859i	−0.0400559	−	0.0502285i
$370$	−7.63376	−	3.67622i	−0.396860	−	0.191118i
$371$	3.56730	+	15.6294i	0.185205	+	0.811437i
$372$	1.74326	+	0.839511i	0.0903839	+	0.0435266i
$373$	−10.2015	−	12.7923i	−0.528213	−	0.662358i	0.444117	−	0.895969i	$-0.353517\pi$
$373$	−10.2015	−	12.7923i	−0.528213	−	0.662358i	−0.972330	+	0.233611i	$0.924946\pi$
$374$	2.46942	+	3.09655i	0.127690	+	0.160119i
$375$	−7.58535	−	9.51173i	−0.391706	−	0.491184i
$376$	−17.6794	+	8.51393i	−0.911743	+	0.439072i
$377$	1.63041	−	0.785164i	0.0839704	−	0.0404380i
$378$	0.748949	−	3.28136i	0.0385218	−	0.168775i
$379$	−4.10417	+	17.9815i	−0.210817	+	0.923649i	0.753197	+	0.657796i	$0.228511\pi$
$379$	−4.10417	+	17.9815i	−0.210817	+	0.923649i	−0.964013	+	0.265854i	$0.914346\pi$
$380$	−1.32695	+	0.639025i	−0.0680711	+	0.0327813i
$381$	2.61793	−	11.4699i	0.134121	−	0.587621i
$382$	1.09029	−	1.36717i	0.0557838	−	0.0699507i
$383$	7.77144	+	9.74508i	0.397102	+	0.497950i	0.939680	−	0.342055i	$-0.111123\pi$
$383$	7.77144	+	9.74508i	0.397102	+	0.497950i	−0.542578	+	0.840006i	$0.682552\pi$
$384$	−5.08741	+	2.44997i	−0.259616	+	0.125024i
$385$	−16.9434	−	8.15951i	−0.863516	−	0.415847i
$386$	−2.89520	−	12.6847i	−0.147362	−	0.645634i
$387$	−7.42515	−	9.31084i	−0.377441	−	0.473297i
$388$	−0.906830	−	3.97308i	−0.0460373	−	0.201703i
$389$	4.16609	−	5.22411i	0.211229	−	0.264873i	−0.664918	−	0.746916i	$-0.731534\pi$
$389$	4.16609	−	5.22411i	0.211229	−	0.264873i	0.876148	+	0.482043i	$0.160105\pi$
$390$	1.23290	+	1.54601i	0.0624304	+	0.0782853i
$391$	0.369201	−	1.61758i	0.0186713	−	0.0818043i
$392$	−1.25532	+	0.604529i	−0.0634031	+	0.0305333i
$393$	3.92574	+	17.1998i	0.198027	+	0.867614i
$394$	14.6991	−	7.07872i	0.740531	−	0.356621i
$395$	4.09628	−	17.9470i	0.206106	−	0.903009i
$396$	−1.15064	−	1.44286i	−0.0578220	−	0.0725065i
$397$	−11.4344	−	14.3382i	−0.573874	−	0.719616i	0.407180	−	0.913348i	$-0.366512\pi$
$397$	−11.4344	−	14.3382i	−0.573874	−	0.719616i	−0.981054	+	0.193732i	$0.937941\pi$
$398$	2.95302	+	12.9380i	0.148021	+	0.648524i
$399$	4.66562			0.233573
$400$	3.12192	−	3.91476i	0.156096	−	0.195738i
$401$	12.0240			0.600451			0.300226	−	0.953868i	$-0.402938\pi$
$401$	12.0240			0.600451			0.300226	+	0.953868i	$0.402938\pi$
$402$	6.57541	−	3.16655i	0.327952	−	0.157933i
$403$	3.60110			0.179384
$404$	0.539462	−	2.36354i	0.0268392	−	0.117590i
$405$	0.399097	−	1.74856i	0.0198313	−	0.0868865i
$406$	−1.51525	−	6.63876i	−0.0752008	−	0.329476i
$407$	14.7171			0.729501
$408$	2.55846			0.126663
$409$	2.09348	+	9.17214i	0.103516	+	0.453533i	0.999946	+	0.0103487i	$0.00329416\pi$
$409$	2.09348	+	9.17214i	0.103516	+	0.453533i	−0.896430	+	0.443184i	$0.853849\pi$
$410$	0.607109	−	2.65992i	0.0299830	−	0.131364i
$411$	−6.34962	+	3.05782i	−0.313204	+	0.150831i
$412$	1.99492			0.0982827
$413$	13.2631	−	16.6314i	0.652633	−	0.818376i
$414$	0.543894	−	2.38295i	0.0267309	−	0.117116i
$415$	−20.2633	−	9.75827i	−0.994684	−	0.479015i
$416$	1.48022	−	1.85614i	0.0725739	−	0.0910049i
$417$	3.27131	+	1.57538i	0.160197	+	0.0771467i
$418$	−5.04282	+	6.32349i	−0.246652	+	0.309292i
$419$	−9.67206	+	4.65782i	−0.472511	+	0.227549i	−0.654956	−	0.755667i	$-0.727313\pi$
$419$	−9.67206	+	4.65782i	−0.472511	+	0.227549i	0.182445	+	0.983216i	$0.441599\pi$
$420$	−2.12047	+	1.02116i	−0.103468	+	0.0498277i
$421$	−7.10183			−0.346122			−0.173061	−	0.984911i	$-0.555366\pi$
$421$	−7.10183			−0.346122			−0.173061	+	0.984911i	$0.555366\pi$
$422$	−16.5807	−	6.75844i	−0.807136	−	0.328996i
$423$	6.41748			0.312028
$424$	−16.1744	+	7.78918i	−0.785498	+	0.378276i
$425$	−1.34435	+	0.647406i	−0.0652107	+	0.0314038i
$426$	−1.01882	+	1.27756i	−0.0493618	+	0.0618978i
$427$	19.8155	+	9.54265i	0.958940	+	0.461801i
$428$	4.09624	−	5.13652i	0.197999	−	0.248283i
$429$	−3.09459	−	1.49028i	−0.149408	−	0.0719513i
$430$	5.85858	−	25.6681i	0.282526	−	1.23783i
$431$	−0.553808	+	0.694453i	−0.0266760	+	0.0334506i	−0.794991	−	0.606622i	$-0.792524\pi$
$431$	−0.553808	+	0.694453i	−0.0266760	+	0.0334506i	0.768315	+	0.640072i	$0.221096\pi$
$432$	2.80786			0.135093
$433$	−14.3807	+	6.92537i	−0.691091	+	0.332812i	−0.746250	−	0.665665i	$-0.768148\pi$
$433$	−14.3807	+	6.92537i	−0.691091	+	0.332812i	0.0551588	+	0.998478i	$0.482433\pi$
$434$	3.01532	−	13.2110i	0.144740	−	0.634148i
$435$	−0.807443	−	3.53764i	−0.0387139	−	0.169617i
$436$	−7.96309			−0.381363
$437$	3.38821			0.162080
$438$	0.903604	+	3.95895i	0.0431759	+	0.189166i
$439$	4.72495	−	20.7014i	0.225510	−	0.988023i	−0.727743	−	0.685850i	$-0.759431\pi$
$439$	4.72495	−	20.7014i	0.225510	−	0.988023i	0.953253	−	0.302173i	$-0.0977121\pi$
$440$	4.68609	−	20.5311i	0.223401	−	0.978782i
$441$	0.455671			0.0216986
$442$	0.831167	−	0.400269i	0.0395346	−	0.0190389i
$443$	16.8057			0.798461			0.399231	−	0.916851i	$-0.369277\pi$
$443$	16.8057			0.798461			0.399231	+	0.916851i	$0.369277\pi$
$444$	1.14838	−	1.44002i	0.0544995	−	0.0683402i
$445$	−10.8117			−0.512525
$446$	−5.98931	−	26.2409i	−0.283602	−	1.24254i
$447$	8.70607	+	10.9171i	0.411783	+	0.516359i
$448$	−15.1305	−	18.9730i	−0.714847	−	0.896390i
$449$	−6.93623	+	30.3896i	−0.327341	+	1.43417i	0.496838	+	0.867843i	$0.334494\pi$
$449$	−6.93623	+	30.3896i	−0.327341	+	1.43417i	−0.824179	+	0.566330i	$0.808363\pi$
$450$	−1.98045	+	0.953735i	−0.0933594	+	0.0449595i
$451$	1.05454	+	4.62022i	0.0496562	+	0.217558i
$452$	3.20002	−	1.54105i	0.150516	−	0.0724848i
$453$	−1.39029	+	6.09127i	−0.0653216	+	0.286193i
$454$	−2.25656	−	2.82964i	−0.105906	−	0.132801i
$455$	−2.73108	+	3.42466i	−0.128035	+	0.160551i
$456$	1.16260	+	5.09367i	0.0544436	+	0.238533i
$457$	24.9971	+	31.3454i	1.16932	+	1.46628i	0.856263	+	0.516541i	$0.172781\pi$
$457$	24.9971	+	31.3454i	1.16932	+	1.46628i	0.313054	+	0.949735i	$0.398648\pi$
$458$	3.56075	+	15.6007i	0.166383	+	0.728971i
$459$	−0.753870	−	0.363045i	−0.0351877	−	0.0169455i
$460$	−1.53991	+	0.741579i	−0.0717984	+	0.0345763i
$461$	7.08084	+	8.87909i	0.329787	+	0.413540i	0.918887	−	0.394520i	$-0.129089\pi$
$461$	7.08084	+	8.87909i	0.329787	+	0.413540i	−0.589100	+	0.808060i	$0.700518\pi$
$462$	−8.05843	+	10.1050i	−0.374912	+	0.470125i
$463$	−0.00595035	+	0.0260702i	−0.000276536	+	0.00121158i	−0.975066	−	0.221915i	$-0.928769\pi$
$463$	−0.00595035	+	0.0260702i	−0.000276536	+	0.00121158i	0.974789	+	0.223127i	$0.0716264\pi$
$464$	5.11822	−	2.46481i	0.237607	−	0.114426i
$465$	1.60679	−	7.03982i	0.0745132	−	0.326464i
$466$	1.07966	−	4.73031i	0.0500144	−	0.219127i
$467$	−3.52496	+	1.69753i	−0.163116	+	0.0785524i	−0.513660	−	0.857994i	$-0.671711\pi$
$467$	−3.52496	+	1.69753i	−0.163116	+	0.0785524i	0.350545	+	0.936546i	$0.385997\pi$
$468$	−0.387289	+	0.186508i	−0.0179024	+	0.00862136i
$469$	10.0797	+	12.6396i	0.465438	+	0.583640i
$470$	8.84584	+	11.0923i	0.408028	+	0.511651i
$471$	6.68468	+	8.38232i	0.308014	+	0.386237i
$472$	21.4622	+	10.3356i	0.987876	+	0.475736i
$473$	10.1762	+	44.5849i	0.467903	+	2.05002i
$474$	−11.3988	−	5.48937i	−0.523564	−	0.252135i
$475$	−1.89982	−	2.38229i	−0.0871695	−	0.109307i
$476$	0.244328	+	1.07047i	0.0111987	+	0.0490649i
$477$	5.87119			0.268823
$478$	−8.21155	+	10.2970i	−0.375588	+	0.470972i
$479$	−11.0081	+	5.30123i	−0.502974	+	0.242219i	−0.668125	−	0.744049i	$-0.732903\pi$
$479$	−11.0081	+	5.30123i	−0.502974	+	0.242219i	0.165152	+	0.986268i	$0.447189\pi$
$480$	−2.96812	−	3.72190i	−0.135475	−	0.169881i
$481$	0.762795	−	3.34202i	0.0347804	−	0.152383i
$482$	17.5848	−	22.0507i	0.800967	−	1.00438i
$483$	5.41438			0.246363
$484$	0.400620	+	1.75523i	0.0182100	+	0.0797832i
$485$	−13.7025	+	6.59879i	−0.622200	+	0.299636i
$486$	−1.11057	−	0.534825i	−0.0503767	−	0.0242601i
$487$	−2.39885	+	10.5100i	−0.108702	+	0.476255i	0.891048	+	0.453909i	$0.149971\pi$
$487$	−2.39885	+	10.5100i	−0.108702	+	0.476255i	−0.999750	+	0.0223464i	$0.992886\pi$
$488$	−5.48044	+	24.0114i	−0.248088	+	1.08694i
$489$	−9.32665	−	4.49148i	−0.421766	−	0.203112i
$490$	0.628096	+	0.787608i	0.0283745	+	0.0355805i
$491$	−7.35129	+	3.54019i	−0.331759	+	0.159767i	−0.592346	−	0.805684i	$-0.701798\pi$
$491$	−7.35129	+	3.54019i	−0.331759	+	0.159767i	0.260587	+	0.965450i	$0.416084\pi$
$492$	0.534357	+	0.257333i	0.0240907	+	0.0116015i
$493$	−1.69286			−0.0762424
$494$	1.17459	+	1.47289i	0.0528474	+	0.0662685i
$495$	−4.29415	+	5.38469i	−0.193008	+	0.242024i
$496$	11.3047			0.507594
$497$	−3.26123	−	1.57053i	−0.146286	−	0.0704478i
$498$	−9.63739	+	12.0849i	−0.431862	+	0.541537i
$499$	−22.9787			−1.02867			−0.514333	−	0.857591i	$-0.671960\pi$
$499$	−22.9787			−1.02867			−0.514333	+	0.857591i	$0.671960\pi$
$500$	5.26778	+	2.53683i	0.235582	+	0.113450i
$501$	2.93523	+	12.8601i	0.131136	+	0.574546i
$502$	8.19130	−	35.8884i	0.365595	−	1.60178i
$503$	−6.53985	−	28.6530i	−0.291598	−	1.27757i	−0.882302	−	0.470684i	$-0.844007\pi$
$503$	−6.53985	−	28.6530i	−0.291598	−	1.27757i	0.590704	−	0.806888i	$-0.298850\pi$
$504$	1.85783	+	8.13970i	0.0827544	+	0.362571i
$505$	−9.04745			−0.402606
$506$	−5.85211	+	7.33831i	−0.260158	+	0.326228i
$507$	7.60656	−	9.53832i	0.337819	−	0.423612i
$508$	1.25814	+	5.51228i	0.0558210	+	0.244568i
$509$	8.37697	+	10.5044i	0.371303	+	0.465599i	0.932019	−	0.362409i	$-0.118046\pi$
$509$	8.37697	+	10.5044i	0.371303	+	0.465599i	−0.560717	+	0.828008i	$0.689474\pi$
$510$	−0.411626	−	1.80345i	−0.0182271	−	0.0798582i
$511$	−8.10443	+	3.90289i	−0.358519	+	0.172654i
$512$	15.3528	−	19.2518i	0.678503	−	0.850816i
$513$	0.380221	−	1.66586i	0.0167872	−	0.0735495i
$514$	−15.6935	+	19.6790i	−0.692209	+	0.868002i
$515$	−1.65666	−	7.25829i	−0.0730010	−	0.319838i
$516$	5.15652	+	2.48325i	0.227003	+	0.109319i
$517$	−22.2031	−	10.6925i	−0.976492	−	0.470254i
$518$	−11.6218	−	5.59677i	−0.510633	−	0.245908i
$519$	−1.28601	+	1.61261i	−0.0564496	+	0.0707856i
$520$	−4.41940	−	2.12827i	−0.193804	−	0.0933309i
$521$	7.41149	−	32.4719i	0.324703	−	1.42262i	−0.504374	−	0.863485i	$-0.668277\pi$
$521$	7.41149	−	32.4719i	0.324703	−	1.42262i	0.829078	−	0.559133i	$-0.188866\pi$
$522$	−2.49386			−0.109153
$523$	8.01534	−	3.85999i	0.350487	−	0.168785i	−0.250354	−	0.968154i	$-0.580547\pi$
$523$	8.01534	−	3.85999i	0.350487	−	0.168785i	0.600840	+	0.799369i	$0.294833\pi$
$524$	−5.28629	−	6.62880i	−0.230933	−	0.289580i
$525$	−3.03591	−	3.80691i	−0.132498	−	0.166147i
$526$	−16.7593			−0.730741
$527$	−3.03514	−	1.46164i	−0.132213	−	0.0636702i
$528$	−9.71462	−	4.67831i	−0.422775	−	0.203597i
$529$	−19.0680			−0.829045
$530$	8.09284	+	10.1481i	0.351530	+	0.440805i
$531$	−4.85737	−	6.09094i	−0.210792	−	0.264324i
$532$	−2.02018	+	0.972868i	−0.0875860	+	0.0421792i
$533$	1.10384			0.0478124
$534$	−1.65347	+	7.24432i	−0.0715526	+	0.313493i
$535$	−22.0903	−	10.6381i	−0.955047	−	0.459926i
$536$	−11.2875	+	14.1541i	−0.487545	+	0.611362i
$537$	3.73689	+	1.79959i	0.161259	+	0.0776581i
$538$	25.3707	+	12.2179i	1.09381	+	0.526751i
$539$	−1.57653	−	0.759215i	−0.0679058	−	0.0327017i
$540$	0.191801	+	0.840333i	0.00825378	+	0.0361622i
$541$	−19.7192	+	24.7271i	−0.847794	+	1.06310i	0.149440	+	0.988771i	$0.452253\pi$
$541$	−19.7192	+	24.7271i	−0.847794	+	1.06310i	−0.997234	+	0.0743290i	$0.976319\pi$
$542$	3.66155	−	16.0423i	0.157277	−	0.689076i
$543$	5.77404	−	7.24041i	0.247788	−	0.310716i
$544$	−2.00097	+	0.963617i	−0.0857910	+	0.0413148i
$545$	6.61284	+	28.9728i	0.283263	+	1.24106i
$546$	1.87700	+	2.35368i	0.0803282	+	0.100728i
$547$	0.985601	+	4.31820i	0.0421413	+	0.184633i	0.991618	−	0.129205i	$-0.0412424\pi$
$547$	0.985601	+	4.31820i	0.0421413	+	0.184633i	−0.949477	+	0.313838i	$0.898385\pi$
$548$	2.11173	−	2.64803i	0.0902087	−	0.113118i
$549$	5.02206	−	6.29746i	0.214336	−	0.268769i
$550$	8.44101			0.359926
$551$	−0.769254	−	3.37032i	−0.0327713	−	0.143581i
$552$	1.34918	+	5.91112i	0.0574247	+	0.251594i
$553$	6.23627	−	27.3229i	0.265193	−	1.16189i
$554$	0.951540	+	4.16897i	0.0404271	+	0.177122i
$555$	−6.19299	−	2.98239i	−0.262878	−	0.126595i
$556$	−1.74495			−0.0740025
$557$	−19.2086	+	24.0869i	−0.813896	+	1.02059i	0.185384	+	0.982666i	$0.440647\pi$
$557$	−19.2086	+	24.0869i	−0.813896	+	1.02059i	−0.999280	+	0.0379274i	$0.987924\pi$
$558$	−4.47125	−	2.15324i	−0.189283	−	0.0911540i
$559$	10.6520			0.450530
$560$	−8.57346	+	10.7508i	−0.362295	+	0.454303i
$561$	2.00335	+	2.51212i	0.0845814	+	0.106062i
$562$	−32.6771			−1.37840
$563$	2.75525	+	1.32686i	0.116120	+	0.0559203i	0.491042	−	0.871136i	$-0.336616\pi$
$563$	2.75525	+	1.32686i	0.116120	+	0.0559203i	−0.374922	+	0.927056i	$0.622331\pi$
$564$	−2.77873	+	1.33816i	−0.117005	+	0.0563469i
$565$	−8.26434	−	10.3632i	−0.347683	−	0.435981i
$566$	−4.67363	−	2.25070i	−0.196447	−	0.0946040i
$567$	0.607595	−	2.66205i	0.0255166	−	0.111796i
$568$	0.901970	−	3.95179i	0.0378458	−	0.165813i
$569$	−17.9249	−	8.63217i	−0.751450	−	0.361879i	0.0186301	−	0.999826i	$-0.494070\pi$
$569$	−17.9249	−	8.63217i	−0.751450	−	0.361879i	−0.770080	+	0.637947i	$0.779784\pi$
$570$	3.40346	−	1.63902i	0.142555	−	0.0686511i
$571$	3.53701	+	15.4966i	0.148019	+	0.648514i	0.993434	+	0.114405i	$0.0364960\pi$
$571$	3.53701	+	15.4966i	0.148019	+	0.648514i	−0.845415	+	0.534110i	$0.820647\pi$
$572$	1.65069			0.0690188
$573$	0.884509	−	1.10914i	0.0369509	−	0.0463349i
$574$	0.924278	−	4.04953i	0.0385786	−	0.169024i
$575$	−2.20471	−	2.76461i	−0.0919426	−	0.115292i
$576$	−8.00736	+	3.85614i	−0.333640	+	0.160672i
$577$	−27.4849	+	34.4649i	−1.14421	+	1.43479i	−0.261296	+	0.965259i	$0.584150\pi$
$577$	−27.4849	+	34.4649i	−1.14421	+	1.43479i	−0.882914	+	0.469535i	$0.844422\pi$
$578$	20.0920			0.835715
$579$	−2.34877	−	10.2906i	−0.0976115	−	0.427664i
$580$	1.08728	+	1.36341i	0.0451469	+	0.0566124i
$581$	−30.8493	−	14.8562i	−1.27984	−	0.616340i
$582$	2.32591	+	10.1905i	0.0964119	+	0.422408i
$583$	−20.3131	−	9.78226i	−0.841281	−	0.405140i
$584$	−6.28046	−	7.87544i	−0.259887	−	0.325888i
$585$	1.00021	+	1.25422i	0.0413535	+	0.0518557i
$586$	3.66386	+	4.59434i	0.151353	+	0.189790i
$587$	32.1929	−	15.5033i	1.32874	−	0.639888i	0.371300	−	0.928513i	$-0.378912\pi$
$587$	32.1929	−	15.5033i	1.32874	−	0.639888i	0.957442	+	0.288625i	$0.0931980\pi$
$588$	−0.197303	+	0.0950159i	−0.00813662	+	0.00391839i
$589$	1.53080	−	6.70687i	0.0630754	−	0.276352i
$590$	3.83255	−	16.7915i	0.157784	−	0.691295i
$591$	11.9249	−	5.74271i	0.490523	−	0.236224i
$592$	2.39458	−	10.4914i	0.0984168	−	0.431192i
$593$	−10.1191	+	12.6890i	−0.415544	+	0.521075i	−0.944915	−	0.327315i	$-0.893856\pi$
$593$	−10.1191	+	12.6890i	−0.415544	+	0.521075i	0.529372	+	0.848390i	$0.322428\pi$
$594$	2.95126	+	3.70076i	0.121092	+	0.151844i
$595$	3.69188	−	1.77792i	0.151352	−	0.0728874i
$596$	−6.04608	−	2.91164i	−0.247657	−	0.119265i
$597$	2.39568	+	10.4961i	0.0980485	+	0.429579i
$598$	1.36310	+	1.70927i	0.0557411	+	0.0698971i
$599$	−6.47235	−	28.3572i	−0.264453	−	1.15865i	−0.916363	−	0.400349i	$-0.868889\pi$
$599$	−6.47235	−	28.3572i	−0.264453	−	1.15865i	0.651910	−	0.758297i	$-0.273968\pi$
$600$	3.39968	−	4.26306i	0.138791	−	0.174039i
$601$	−22.0486	−	27.6481i	−0.899381	−	1.12779i	−0.991248	−	0.132017i	$-0.957855\pi$
$601$	−22.0486	−	27.6481i	−0.899381	−	1.12779i	0.0918667	−	0.995771i	$-0.470717\pi$
$602$	8.91924	−	39.0777i	0.363521	−	1.59269i
$603$	5.33439	−	2.56891i	0.217233	−	0.104614i
$604$	−0.668156	−	2.92738i	−0.0271869	−	0.119113i
$605$	6.05351	−	2.91522i	0.246110	−	0.118520i
$606$	−1.38365	+	6.06218i	−0.0562071	+	0.246259i
$607$	2.28236	+	2.86199i	0.0926381	+	0.116165i	0.825990	−	0.563685i	$-0.190617\pi$
$607$	2.28236	+	2.86199i	0.0926381	+	0.116165i	−0.733352	+	0.679849i	$0.762045\pi$
$608$	−2.82774	−	3.54587i	−0.114680	−	0.143804i
$609$	−1.22927	−	5.38579i	−0.0498126	−	0.218243i
$610$	17.8073			0.720996
$611$	−3.57888	+	4.48778i	−0.144786	+	0.181556i
$612$	0.402123			0.0162548
$613$	−6.76518	+	3.25794i	−0.273243	+	0.131587i	−0.565488	−	0.824757i	$-0.691312\pi$
$613$	−6.76518	+	3.25794i	−0.273243	+	0.131587i	0.292245	+	0.956344i	$0.405598\pi$
$614$	7.46545			0.301281
$615$	0.492526	−	2.15790i	0.0198606	−	0.0870148i
$616$	7.13422	−	31.2571i	0.287446	−	1.25938i
$617$	2.87914	+	12.6143i	0.115910	+	0.507835i	0.999236	+	0.0390760i	$0.0124414\pi$
$617$	2.87914	+	12.6143i	0.115910	+	0.507835i	−0.883326	+	0.468759i	$0.844701\pi$
$618$	−5.11673			−0.205825
$619$	15.1516			0.608995			0.304498	−	0.952513i	$-0.401511\pi$
$619$	15.1516			0.608995			0.304498	+	0.952513i	$0.401511\pi$
$620$	0.772203	+	3.38324i	0.0310124	+	0.135874i
$621$	0.441241	−	1.93320i	0.0177064	−	0.0775768i
$622$	−37.1124	+	17.8724i	−1.48807	+	0.716618i
$623$	−16.4600			−0.659457
$624$	−1.56588	+	1.96355i	−0.0626855	+	0.0786051i
$625$	2.87133	−	12.5801i	0.114853	−	0.503204i
$626$	20.4064	+	9.82722i	0.815605	+	0.392775i
$627$	−4.09105	+	5.13002i	−0.163381	+	0.204873i
$628$	−4.64229	−	2.23561i	−0.185248	−	0.0892106i
$629$	−1.99940	+	2.50717i	−0.0797212	+	0.0999672i
$630$	5.43874	−	2.61916i	0.216685	−	0.104350i
$631$	−10.8118	+	5.20668i	−0.430410	+	0.207275i	−0.636530	−	0.771252i	$-0.719631\pi$
$631$	−10.8118	+	5.20668i	−0.430410	+	0.207275i	0.206120	+	0.978527i	$0.433916\pi$
$632$	31.3836			1.24837
$633$	−13.4513	−	5.48288i	−0.534642	−	0.217925i
$634$	25.9399			1.03021
$635$	19.0110	−	9.15521i	0.754428	−	0.363313i
$636$	−2.54219	+	1.22425i	−0.100804	+	0.0485447i
$637$	−0.254117	+	0.318653i	−0.0100685	+	0.0126255i
$638$	8.62822	+	4.15513i	0.341594	+	0.164503i
$639$	−0.826529	+	1.03643i	−0.0326970	+	0.0410007i
$640$	−9.12439	−	4.39407i	−0.360673	−	0.173691i
$641$	−3.89495	+	17.0649i	−0.153841	+	0.674023i	0.837906	+	0.545815i	$0.183780\pi$
$641$	−3.89495	+	17.0649i	−0.153841	+	0.674023i	−0.991747	+	0.128209i	$0.959077\pi$
$642$	−10.5063	+	13.1745i	−0.414652	+	0.519957i
$643$	−44.3753			−1.74999			−0.874996	−	0.484131i	$-0.839136\pi$
$643$	−44.3753			−1.74999			−0.874996	+	0.484131i	$0.839136\pi$
$644$	−2.34439	+	1.12900i	−0.0923819	+	0.0444888i
$645$	4.75285	−	20.8236i	0.187143	−	0.819928i
$646$	−0.392158	−	1.71816i	−0.0154293	−	0.0676000i
$647$	3.10156			0.121935			0.0609675	−	0.998140i	$-0.480581\pi$
$647$	3.10156			0.121935			0.0609675	+	0.998140i	$0.480581\pi$
$648$	3.05768			0.120117
$649$	6.65706	+	29.1665i	0.261312	+	1.14488i
$650$	0.437501	−	1.91682i	0.0171602	−	0.0751837i
$651$	2.44622	−	10.7176i	0.0958749	−	0.420056i
$652$	4.97494			0.194834
$653$	6.31576	−	3.04151i	0.247155	−	0.119023i	−0.306206	−	0.951965i	$-0.599060\pi$
$653$	6.31576	−	3.04151i	0.247155	−	0.119023i	0.553360	+	0.832942i	$0.313345\pi$
$654$	20.4243			0.798655
$655$	−19.7282	+	24.7384i	−0.770844	+	0.966608i
$656$	3.46519			0.135293
$657$	0.733061	+	3.21175i	0.0285994	+	0.125302i
$658$	13.4671	+	16.8872i	0.525003	+	0.658333i
$659$	−23.7741	−	29.8118i	−0.926107	−	1.16130i	−0.986604	−	0.163133i	$-0.947840\pi$
$659$	−23.7741	−	29.8118i	−0.926107	−	1.16130i	0.0604976	−	0.998168i	$-0.480731\pi$
$660$	0.736529	−	3.22694i	0.0286694	−	0.125609i
$661$	−22.7247	+	10.9436i	−0.883887	+	0.425658i	−0.820043	−	0.572302i	$-0.806050\pi$
$661$	−22.7247	+	10.9436i	−0.883887	+	0.425658i	−0.0638444	+	0.997960i	$0.520336\pi$
$662$	−0.0358369	−	0.157012i	−0.00139284	−	0.00610243i
$663$	0.674296	−	0.324724i	0.0261875	−	0.0126112i
$664$	8.53209	−	37.3815i	0.331109	−	1.45068i
$665$	5.21730	+	6.54229i	0.202318	+	0.253699i
$666$	−2.94544	+	3.69347i	−0.114134	+	0.143119i
$667$	−0.892708	−	3.91121i	−0.0345658	−	0.151443i
$668$	−3.95250	−	4.95628i	−0.152927	−	0.191764i
$669$	−4.85891	−	21.2883i	−0.187856	−	0.823052i
$670$	11.7932	+	5.67929i	0.455610	+	0.219410i
$671$	−27.8678	+	13.4204i	−1.07582	+	0.518089i
$672$	−4.51874	−	5.66632i	−0.174314	−	0.218583i
$673$	17.4454	−	21.8758i	0.672470	−	0.843250i	−0.322167	−	0.946683i	$-0.604411\pi$
$673$	17.4454	−	21.8758i	0.672470	−	0.843250i	0.994636	+	0.103433i	$0.0329826\pi$
$674$	−6.16393	+	27.0059i	−0.237426	+	1.04023i
$675$	−1.60667	+	0.773731i	−0.0618407	+	0.0297809i
$676$	−1.30467	+	5.71614i	−0.0501797	+	0.219851i
$677$	−2.40253	+	10.5262i	−0.0923368	+	0.404554i	−0.999881	−	0.0154017i	$-0.995097\pi$
$677$	−2.40253	+	10.5262i	−0.0923368	+	0.404554i	0.907545	+	0.419956i	$0.137954\pi$
$678$	−8.20766	+	3.95260i	−0.315213	+	0.151799i
$679$	−20.8611	+	10.0462i	−0.800574	+	0.385536i
$680$	2.86099	+	3.58757i	0.109714	+	0.137577i
$681$	−1.83066	−	2.29558i	−0.0701512	−	0.0879669i
$682$	11.8820	+	14.8995i	0.454984	+	0.570532i
$683$	23.8173	+	11.4698i	0.911343	+	0.438880i	0.829973	−	0.557804i	$-0.188356\pi$
$683$	23.8173	+	11.4698i	0.911343	+	0.438880i	0.0813706	+	0.996684i	$0.474070\pi$
$684$	0.182729	+	0.800589i	0.00698683	+	0.0306113i
$685$	−11.3882	−	5.48427i	−0.435121	−	0.209543i
$686$	−13.7333	−	17.2211i	−0.524341	−	0.657503i
$687$	2.88871	+	12.6563i	0.110211	+	0.482866i
$688$	33.4389			1.27485
$689$	−3.27423	+	4.10575i	−0.124738	+	0.156417i
$690$	3.94967	−	1.90206i	0.150361	−	0.0724102i
$691$	−1.36086	−	1.70647i	−0.0517697	−	0.0649171i	0.755273	−	0.655411i	$-0.227504\pi$
$691$	−1.36086	−	1.70647i	−0.0517697	−	0.0649171i	−0.807042	+	0.590494i	$0.798933\pi$
$692$	0.220576	−	0.966405i	0.00838503	−	0.0367372i
$693$	−6.53751	+	8.19778i	−0.248340	+	0.311408i
$694$	9.86965			0.374647
$695$	1.44907	+	6.34881i	0.0549665	+	0.240824i
$696$	5.57360	−	2.68410i	0.211267	−	0.101741i
$697$	−0.930352	−	0.448034i	−0.0352396	−	0.0169705i
$698$	0.497652	−	2.18035i	0.0188364	−	0.0825276i
$699$	0.875890	−	3.83753i	0.0331292	−	0.145149i
$700$	2.10834	+	1.01532i	0.0796878	+	0.0383756i
$701$	18.9985	+	23.8233i	0.717563	+	0.899795i	0.998197	−	0.0600197i	$-0.0191164\pi$
$701$	18.9985	+	23.8233i	0.717563	+	0.899795i	−0.280635	+	0.959815i	$0.590545\pi$
$702$	0.993348	−	0.478371i	0.0374915	−	0.0180550i
$703$	−5.90009	−	2.84133i	−0.222526	−	0.107163i
$704$	34.1287			1.28627
$705$	7.17631	+	8.99881i	0.270276	+	0.338915i
$706$	9.03143	−	11.3251i	0.339902	−	0.426224i
$707$	−13.7741			−0.518027
$708$	3.37328	+	1.62449i	0.126776	+	0.0610520i
$709$	2.92175	−	3.66376i	0.109729	−	0.137595i	−0.723934	−	0.689869i	$-0.757668\pi$
$709$	2.92175	−	3.66376i	0.109729	−	0.137595i	0.833663	+	0.552274i	$0.186240\pi$
$710$	−2.93072			−0.109988
$711$	−9.24742	−	4.45332i	−0.346805	−	0.167013i
$712$	−4.10157	−	17.9702i	−0.153713	−	0.673461i
$713$	1.77647	−	7.78321i	0.0665293	−	0.291484i
$714$	−0.626670	−	2.74562i	−0.0234525	−	0.102752i
$715$	−1.37079	−	6.00584i	−0.0512648	−	0.224606i
$716$	−1.99330			−0.0744931
$717$	−6.66173	+	8.35355i	−0.248787	+	0.311969i
$718$	13.6204	−	17.0794i	0.508307	−	0.637397i
$719$	−11.4005	−	49.9488i	−0.425167	−	1.86278i	−0.500682	−	0.865632i	$-0.666917\pi$
$719$	−11.4005	−	49.9488i	−0.425167	−	1.86278i	0.0755151	−	0.997145i	$-0.475940\pi$
$720$	3.13988	+	3.93728i	0.117016	+	0.146734i
$721$	−2.52214	−	11.0502i	−0.0939293	−	0.411531i
$722$	−17.8584	+	8.60016i	−0.664622	+	0.320065i
$723$	14.2659	−	17.8889i	0.530556	−	0.665296i
$724$	−0.990359	+	4.33904i	−0.0368064	+	0.161259i
$725$	−2.24946	+	2.82074i	−0.0835430	+	0.104760i
$726$	−1.02754	−	4.50195i	−0.0381356	−	0.167083i
$727$	−13.7046	−	6.59978i	−0.508275	−	0.244772i	0.162128	−	0.986770i	$-0.448164\pi$
$727$	−13.7046	−	6.59978i	−0.508275	−	0.244772i	−0.670403	+	0.741997i	$0.733879\pi$
$728$	−6.72820	−	3.24013i	−0.249364	−	0.120087i
$729$	−0.900969	−	0.433884i	−0.0333692	−	0.0160698i
$730$	−4.54093	+	5.69414i	−0.168067	+	0.210750i
$731$	−8.97785	−	4.32350i	−0.332058	−	0.159911i
$732$	−0.861380	+	3.77395i	−0.0318375	+	0.139489i
$733$	−41.9748			−1.55037			−0.775187	−	0.631732i	$-0.782344\pi$
$733$	−41.9748			−1.55037			−0.775187	+	0.631732i	$0.782344\pi$
$734$	6.71601	−	3.23426i	0.247892	−	0.119379i
$735$	0.509552	+	0.638958i	0.0187951	+	0.0235683i
$736$	−3.28155	−	4.11493i	−0.120959	−	0.151678i
$737$	−22.7361			−0.837494
$738$	−1.37056	−	0.660027i	−0.0504510	−	0.0242959i
$739$	30.1062	+	14.4984i	1.10748	+	0.533332i	0.896002	−	0.444051i	$-0.146459\pi$
$739$	30.1062	+	14.4984i	1.10748	+	0.533332i	0.211475	+	0.977383i	$0.432173\pi$
$740$	3.30341			0.121436
$741$	0.952903	+	1.19490i	0.0350058	+	0.0438959i
$742$	12.3207	+	15.4497i	0.452308	+	0.567177i
$743$	−6.18318	+	2.97766i	−0.226839	+	0.109240i	−0.543852	−	0.839181i	$-0.683035\pi$
$743$	−6.18318	+	2.97766i	−0.226839	+	0.109240i	0.317013	+	0.948421i	$0.397320\pi$
$744$	12.3104			0.451323
$745$	−5.57277	+	24.4159i	−0.204170	+	0.894529i
$746$	−18.1711	−	8.75075i	−0.665292	−	0.320388i
$747$	−7.81846	+	9.80404i	−0.286063	+	0.358711i
$748$	−1.39126	−	0.669995i	−0.0508695	−	0.0244975i
$749$	−33.6308	−	16.1957i	−1.22884	−	0.591780i
$750$	−13.5112	−	6.50666i	−0.493360	−	0.237589i
$751$	7.05619	+	30.9152i	0.257484	+	1.12811i	0.923931	+	0.382559i	$0.124957\pi$
$751$	7.05619	+	30.9152i	0.257484	+	1.12811i	−0.666447	+	0.745553i	$0.732186\pi$
$752$	−11.2349	+	14.0881i	−0.409695	+	0.513741i
$753$	6.64530	−	29.1150i	0.242168	−	1.06101i
$754$	1.39077	−	1.74397i	0.0506487	−	0.0635115i
$755$	−10.0961	+	4.86201i	−0.367434	+	0.176947i
$756$	0.292002	+	1.27934i	0.0106200	+	0.0465293i
$757$	−21.4613	−	26.9117i	−0.780026	−	0.978121i	−0.999997	−	0.00261490i	$-0.999168\pi$
$757$	−21.4613	−	26.9117i	−0.780026	−	0.978121i	0.219971	−	0.975506i	$-0.429404\pi$
$758$	5.05898	+	22.1648i	0.183750	+	0.805063i
$759$	−4.74760	+	5.95331i	−0.172327	+	0.216091i
$760$	−5.84245	+	7.32620i	−0.211928	+	0.265749i
$761$	−12.9390			−0.469040			−0.234520	−	0.972111i	$-0.575352\pi$
$761$	−12.9390			−0.469040			−0.234520	+	0.972111i	$0.575352\pi$
$762$	−3.22698	−	14.1383i	−0.116901	−	0.512177i
$763$	10.0676	+	44.1089i	0.364470	+	1.59685i
$764$	−0.151710	+	0.664686i	−0.00548869	+	0.0240475i
$765$	−0.333938	−	1.46308i	−0.0120735	−	0.0528976i
$766$	13.8427	+	6.66628i	0.500156	+	0.240862i
$767$	6.96827			0.251610
$768$	6.74288	−	8.45531i	0.243313	−	0.305105i
$769$	35.5928	+	17.1406i	1.28351	+	0.618106i	0.946290	−	0.323320i	$-0.104799\pi$
$769$	35.5928	+	17.1406i	1.28351	+	0.618106i	0.337221	+	0.941426i	$0.390513\pi$
$770$	−23.1808			−0.835379
$771$	−12.7315	+	15.9648i	−0.458515	+	0.574960i
$772$	3.16279	+	3.96601i	0.113831	+	0.142740i
$773$	−35.6884			−1.28362			−0.641811	−	0.766863i	$-0.721817\pi$
$773$	−35.6884			−1.28362			−0.641811	+	0.766863i	$0.721817\pi$
$774$	−13.2258	−	6.36923i	−0.475393	−	0.228937i
$775$	−6.46856	+	3.11509i	−0.232357	+	0.111897i
$776$	−16.1661	−	20.2716i	−0.580329	−	0.727710i
$777$	−9.42836	−	4.54046i	−0.338241	−	0.162888i
$778$	1.83277	−	8.02989i	0.0657080	−	0.287886i
$779$	0.469232	−	2.05584i	0.0168120	−	0.0736580i
$780$	−0.694612	−	0.334508i	−0.0248711	−	0.0119773i
$781$	4.58647	−	2.20873i	0.164117	−	0.0790345i
$782$	−0.455094	−	1.99390i	−0.0162741	−	0.0713016i
$783$	−2.02317			−0.0723023
$784$	−0.797732	+	1.00032i	−0.0284904	+	0.0357258i
$785$	−4.27888	+	18.7470i	−0.152720	+	0.669108i
$786$	13.5587	+	17.0021i	0.483622	+	0.606443i
$787$	37.7087	−	18.1596i	1.34417	−	0.647319i	0.383122	−	0.923698i	$-0.374849\pi$
$787$	37.7087	−	18.1596i	1.34417	−	0.647319i	0.961049	+	0.276379i	$0.0891346\pi$
$788$	−3.96593	+	4.97311i	−0.141280	+	0.177160i
$789$	−13.5962			−0.484038
$790$	−5.04925	−	22.1222i	−0.179644	−	0.787073i
$791$	−12.5818	−	15.7771i	−0.447359	−	0.560970i
$792$	−10.5789	−	5.09455i	−0.375906	−	0.181027i
$793$	1.60316	+	7.02390i	0.0569299	+	0.249426i
$794$	−20.3672	−	9.80831i	−0.722804	−	0.348084i
$795$	6.56542	+	8.23278i	0.232852	+	0.291987i
$796$	−3.22595	−	4.04522i	−0.114341	−	0.143379i
$797$	7.13820	+	8.95102i	0.252848	+	0.317061i	0.892014	−	0.452007i	$-0.149292\pi$
$797$	7.13820	+	8.95102i	0.252848	+	0.317061i	−0.639166	+	0.769069i	$0.720720\pi$
$798$	5.18152	−	2.49529i	0.183424	−	0.0883322i
$799$	4.83795	−	2.32983i	0.171154	−	0.0824235i
$800$	−1.05325	+	4.61459i	−0.0372380	+	0.163150i
$801$	−1.34140	+	5.87706i	−0.0473960	+	0.207656i
$802$	13.3536	−	6.43074i	0.471531	−	0.227077i
$803$	2.81501	−	12.3334i	0.0993396	−	0.435235i
$804$	−1.77409	+	2.22464i	−0.0625674	+	0.0784570i
$805$	6.05460	+	7.59223i	0.213397	+	0.267591i
$806$	3.99929	−	1.92596i	0.140869	−	0.0678389i
$807$	20.5823	+	9.91193i	0.724532	+	0.348916i
$808$	−3.43227	−	15.0378i	−0.120747	−	0.529027i
$809$	−6.97540	−	8.74687i	−0.245242	−	0.307524i	0.643941	−	0.765075i	$-0.277298\pi$
$809$	−6.97540	−	8.74687i	−0.245242	−	0.307524i	−0.889183	+	0.457551i	$0.848727\pi$
$810$	−0.491945	−	2.15535i	−0.0172852	−	0.0757313i
$811$	0.433966	−	0.544176i	0.0152386	−	0.0191086i	−0.774154	−	0.632998i	$-0.781824\pi$
$811$	0.433966	−	0.544176i	0.0152386	−	0.0191086i	0.789392	+	0.613889i	$0.210396\pi$
$812$	1.65530	+	2.07568i	0.0580897	+	0.0728422i
$813$	2.97048	−	13.0145i	0.104179	−	0.456440i
$814$	16.3445	−	7.87108i	0.572873	−	0.275881i
$815$	−4.13137	−	18.1007i	−0.144716	−	0.634041i
$816$	2.11677	−	1.01938i	0.0741016	−	0.0356855i
$817$	4.52806	−	19.8387i	0.158417	−	0.694069i
$818$	7.23045	+	9.06670i	0.252807	+	0.317010i
$819$	1.52274	+	1.90946i	0.0532089	+	0.0667219i
$820$	0.236701	+	1.03706i	0.00826597	+	0.0362156i
$821$	−5.54181			−0.193410			−0.0967052	−	0.995313i	$-0.530830\pi$
$821$	−5.54181			−0.193410			−0.0967052	+	0.995313i	$0.530830\pi$
$822$	−5.41633	+	6.79186i	−0.188916	+	0.236893i
$823$	33.6755			1.17385			0.586927	−	0.809640i	$-0.300338\pi$
$823$	33.6755			1.17385			0.586927	+	0.809640i	$0.300338\pi$
$824$	11.4355	−	5.50706i	0.398376	−	0.191848i
$825$	6.84788			0.238413
$826$	5.83477	−	25.5638i	0.203018	−	0.889478i
$827$	−10.8866	+	47.6972i	−0.378563	+	1.65859i	0.323310	+	0.946293i	$0.395204\pi$
$827$	−10.8866	+	47.6972i	−0.378563	+	1.65859i	−0.701874	+	0.712301i	$0.747653\pi$
$828$	0.212055	+	0.929072i	0.00736940	+	0.0322875i
$829$	3.77534			0.131123			0.0655616	−	0.997849i	$-0.479116\pi$
$829$	3.77534			0.131123			0.0655616	+	0.997849i	$0.479116\pi$
$830$	−27.7228			−0.962273
$831$	0.771950	+	3.38213i	0.0267786	+	0.117325i
$832$	1.76890	−	7.75007i	0.0613257	−	0.268685i
$833$	0.343517	−	0.165429i	0.0119022	−	0.00573177i
$834$	4.47559			0.154977
$835$	−14.7505	+	18.4966i	−0.510464	+	0.640101i
$836$	0.701695	−	3.07432i	0.0242686	−	0.106328i
$837$	−3.62736	−	1.74685i	−0.125380	−	0.0603799i
$838$	−8.25043	+	10.3457i	−0.285006	+	0.357387i
$839$	−45.8824	−	22.0958i	−1.58404	−	0.762832i	−0.585193	−	0.810894i	$-0.698981\pi$
$839$	−45.8824	−	22.0958i	−1.58404	−	0.762832i	−0.998844	+	0.0480618i	$0.984696\pi$
$840$	−9.33625	+	11.7073i	−0.322131	+	0.403940i
$841$	22.4402	−	10.8066i	0.773801	−	0.372643i
$842$	−7.88711	+	3.79823i	−0.271808	+	0.130896i
$843$	−26.5098			−0.913045
$844$	6.96762	−	0.430800i	0.239835	−	0.0148288i
$845$	21.8810			0.752728
$846$	7.12709	−	3.43223i	0.245034	−	0.118002i
$847$	9.21602	−	4.43820i	0.316666	−	0.152498i
$848$	−10.2785	+	12.8889i	−0.352966	+	0.442606i
$849$	−3.79154	−	1.82591i	−0.130125	−	0.0626651i
$850$	−1.14675	+	1.43799i	−0.0393334	+	0.0493225i
$851$	−6.84696	−	3.29732i	−0.234711	−	0.113031i
$852$	0.141766	−	0.621116i	0.00485681	−	0.0212791i
$853$	24.2412	−	30.3976i	0.830004	−	1.04079i	−0.168477	−	0.985706i	$-0.553885\pi$
$853$	24.2412	−	30.3976i	0.830004	−	1.04079i	0.998482	−	0.0550870i	$-0.0175436\pi$
$854$	27.1103			0.927694
$855$	2.76111	−	1.32968i	0.0944278	−	0.0454740i
$856$	9.30138	−	40.7520i	0.317915	−	1.39288i
$857$	7.45657	+	32.6694i	0.254712	+	1.11596i	0.926818	+	0.375510i	$0.122532\pi$
$857$	7.45657	+	32.6694i	0.254712	+	1.11596i	−0.672107	+	0.740454i	$0.734610\pi$
$858$	−4.23381			−0.144540
$859$	32.7076			1.11597			0.557984	−	0.829852i	$-0.311575\pi$
$859$	32.7076			1.11597			0.557984	+	0.829852i	$0.311575\pi$
$860$	2.28415	+	10.0075i	0.0778890	+	0.341254i
$861$	0.749833	−	3.28524i	0.0255543	−	0.111961i
$862$	−0.243634	+	1.06743i	−0.00829822	+	0.0363569i
$863$	19.3892			0.660016			0.330008	−	0.943978i	$-0.392948\pi$
$863$	19.3892			0.660016			0.330008	+	0.943978i	$0.392948\pi$
$864$	−2.39141	+	1.15164i	−0.0813574	+	0.0391797i
$865$	−3.69933			−0.125781
$866$	−12.2670	+	15.3823i	−0.416848	+	0.522711i
$867$	16.2999			0.553573
$868$	1.17562	+	5.15073i	0.0399032	+	0.174827i
$869$	24.5742	+	30.8151i	0.833624	+	1.04533i
$870$	−2.78874	−	3.49697i	−0.0945472	−	0.118558i
$871$	−1.17842	+	5.16299i	−0.0399292	+	0.174941i
$872$	−45.6470	+	21.9824i	−1.54580	+	0.744419i
$873$	1.88692	+	8.26715i	0.0638627	+	0.279801i
$874$	3.76287	−	1.81210i	0.127281	−	0.0612952i
$875$	7.39198	−	32.3864i	0.249894	−	1.09486i
$876$	−0.987121	−	1.23781i	−0.0333517	−	0.0418217i
$877$	−3.67579	+	4.60929i	−0.124122	+	0.155645i	−0.840010	−	0.542571i	$-0.817451\pi$
$877$	−3.67579	+	4.60929i	−0.124122	+	0.155645i	0.715887	+	0.698216i	$0.246022\pi$
$878$	−5.82419	−	25.5174i	−0.196557	−	0.861172i
$879$	2.97236	+	3.72722i	0.100255	+	0.125716i
$880$	−4.30323	−	18.8537i	−0.145062	−	0.635557i
$881$	28.8038	+	13.8712i	0.970425	+	0.467332i	0.850802	−	0.525487i	$-0.176117\pi$
$881$	28.8038	+	13.8712i	0.970425	+	0.467332i	0.119624	+	0.992819i	$0.461831\pi$
$882$	0.506057	−	0.243704i	0.0170398	−	0.00820594i
$883$	8.40566	+	10.5404i	0.282873	+	0.354711i	0.902886	−	0.429880i	$-0.141444\pi$
$883$	8.40566	+	10.5404i	0.282873	+	0.354711i	−0.620013	+	0.784591i	$0.712873\pi$
$884$	−0.224255	+	0.281206i	−0.00754250	+	0.00945800i
$885$	3.10921	−	13.6223i	0.104515	−	0.457910i
$886$	18.6639	−	8.98808i	0.627027	−	0.301960i
$887$	−4.83052	+	21.1639i	−0.162193	+	0.710614i	0.826781	+	0.562524i	$0.190170\pi$
$887$	−4.83052	+	21.1639i	−0.162193	+	0.710614i	−0.988974	+	0.148090i	$0.952687\pi$
$888$	2.60763	−	11.4248i	0.0875064	−	0.383391i
$889$	28.9428	−	13.9381i	0.970710	−	0.467469i
$890$	−12.0072	+	5.78237i	−0.402483	+	0.193826i
$891$	2.39425	+	3.00229i	0.0802104	+	0.100581i
$892$	6.54288	+	8.20451i	0.219072	+	0.274707i
$893$	6.83690	+	8.57321i	0.228788	+	0.286891i
$894$	15.5074	+	7.46799i	0.518647	+	0.249767i
$895$	1.65531	+	7.25238i	0.0553309	+	0.242420i
$896$	−13.8912	−	6.68965i	−0.464072	−	0.223485i
$897$	1.10583	+	1.38667i	0.0369226	+	0.0462994i
$898$	8.54990	+	37.4596i	0.285314	+	1.25004i
$899$	−8.14544			−0.271666
$900$	0.534339	−	0.670040i	0.0178113	−	0.0223347i
$901$	4.42611	−	2.13150i	0.147455	−	0.0710107i
$902$	3.64215	+	4.56711i	0.121270	+	0.152068i
$903$	7.23586	−	31.7024i	0.240794	−	1.05499i
$904$	14.0894	−	17.6676i	0.468607	−	0.587615i
$905$	16.6095			0.552120
$906$	1.71374	+	7.50837i	0.0569351	+	0.249449i
$907$	40.3706	−	19.4415i	1.34049	−	0.645544i	0.380289	−	0.924868i	$-0.375825\pi$
$907$	40.3706	−	19.4415i	1.34049	−	0.645544i	0.960197	+	0.279324i	$0.0901104\pi$
$908$	1.27134	+	0.612244i	0.0421908	+	0.0203180i
$909$	−1.12251	+	4.91803i	−0.0372312	+	0.163121i
$910$	−1.20147	+	5.26399i	−0.0398284	+	0.174500i
$911$	37.2517	+	17.9395i	1.23420	+	0.594361i	0.933233	−	0.359272i	$-0.116975\pi$
$911$	37.2517	+	17.9395i	1.23420	+	0.594361i	0.300971	+	0.953633i	$0.402689\pi$
$912$	2.99138	+	3.75107i	0.0990544	+	0.124210i
$913$	43.3852	−	20.8932i	1.43584	−	0.691464i
$914$	44.5255	+	21.4423i	1.47277	+	0.709249i
$915$	14.4464			0.477583
$916$	−3.88986	−	4.87773i	−0.128524	−	0.161165i
$917$	−30.0347	+	37.6623i	−0.991832	+	1.24372i
$918$	−1.03139			−0.0340411
$919$	9.69063	+	4.66676i	0.319664	+	0.153942i	0.586834	−	0.809707i	$-0.300374\pi$
$919$	9.69063	+	4.66676i	0.319664	+	0.153942i	−0.267170	+	0.963649i	$0.586088\pi$
$920$	−6.78007	+	8.50194i	−0.223532	+	0.280301i
$921$	6.05645			0.199567
$922$	12.6126	+	6.07388i	0.415372	+	0.200033i
$923$	−0.263848	−	1.15599i	−0.00868465	−	0.0380500i
$924$	1.12131	−	4.91278i	0.0368884	−	0.161619i
$925$	1.52079	+	6.66303i	0.0500034	+	0.219079i
$926$	0.00733467	+	0.0321353i	0.000241032	+	0.00105603i
$927$	−4.15101			−0.136337
$928$	−3.34817	+	4.19847i	−0.109909	+	0.137821i
$929$	12.6124	−	15.8154i	0.413799	−	0.518888i	−0.530630	−	0.847604i	$-0.678045\pi$
$929$	12.6124	−	15.8154i	0.413799	−	0.518888i	0.944429	+	0.328716i	$0.106616\pi$
$930$	−1.98060	−	8.67760i	−0.0649466	−	0.284550i
$931$	0.485452	+	0.608738i	0.0159101	+	0.0199506i
$932$	0.420941	+	1.84426i	0.0137884	+	0.0604108i
$933$	−30.1080	+	14.4992i	−0.985691	+	0.474684i
$934$	−3.00685	+	3.77047i	−0.0983871	+	0.123374i
$935$	−1.28235	+	5.61832i	−0.0419372	+	0.183739i
$936$	−1.70520	+	2.13825i	−0.0557362	+	0.0698910i
$937$	6.83878	+	29.9626i	0.223413	+	0.978837i	0.954888	+	0.296968i	$0.0959754\pi$
$937$	6.83878	+	29.9626i	0.223413	+	0.978837i	−0.731474	+	0.681869i	$0.761167\pi$
$938$	17.9542	+	8.64629i	0.586226	+	0.282312i
$939$	16.5550	+	7.97246i	0.540252	+	0.260172i
$940$	−4.98371	−	2.40003i	−0.162551	−	0.0782804i
$941$	14.3533	−	17.9985i	0.467904	−	0.586733i	−0.490752	−	0.871299i	$-0.663278\pi$
$941$	14.3533	−	17.9985i	0.467904	−	0.586733i	0.958656	+	0.284566i	$0.0918495\pi$
$942$	11.9069	+	5.73407i	0.387948	+	0.186826i
$943$	0.544536	−	2.38577i	0.0177325	−	0.0776913i
$944$	21.8750			0.711970
$945$	4.41226	−	2.12483i	0.143531	−	0.0691207i
$946$	35.1466	+	44.0724i	1.14271	+	1.43292i
$947$	−34.1320	−	42.8002i	−1.10914	−	1.39082i	−0.911874	−	0.410470i	$-0.865365\pi$
$947$	−34.1320	−	42.8002i	−1.10914	−	1.39082i	−0.197268	−	0.980350i	$-0.563207\pi$
$948$	4.93267			0.160206
$949$	−2.65481	−	1.27849i	−0.0861787	−	0.0415015i
$950$	−3.38400	−	1.62965i	−0.109791	−	0.0528727i
$951$	21.0441			0.682402
$952$	4.35564	+	5.46180i	0.141167	+	0.177018i
$953$	8.12936	+	10.1939i	0.263336	+	0.330213i	0.895867	−	0.444322i	$-0.146555\pi$
$953$	8.12936	+	10.1939i	0.263336	+	0.330213i	−0.632531	+	0.774535i	$0.717984\pi$
$954$	6.52039	−	3.14005i	0.211105	−	0.101663i
$955$	2.54437			0.0823339
$956$	1.14262	−	5.00613i	0.0369548	−	0.161910i
$957$	6.99976	+	3.37091i	0.226270	+	0.108966i
$958$	−9.39010	+	11.7748i	−0.303381	+	0.380427i
$959$	−17.3377	−	8.34939i	−0.559863	−	0.269616i
$960$	−14.3614	−	6.91608i	−0.463512	−	0.223216i
$961$	13.3260	+	6.41747i	0.429871	+	0.207015i
$962$	−0.940255	−	4.11953i	−0.0303150	−	0.132819i
$963$	−8.52341	+	10.6880i	−0.274663	+	0.344417i
$964$	−2.44688	+	10.7205i	−0.0788088	+	0.345284i
$965$	11.8034	−	14.8010i	0.379964	−	0.476460i
$966$	6.01307	−	2.89574i	0.193467	−	0.0931690i
$967$	3.63265	+	15.9157i	0.116818	+	0.511814i	0.999151	+	0.0411886i	$0.0131144\pi$
$967$	3.63265	+	15.9157i	0.116818	+	0.511814i	−0.882333	+	0.470625i	$0.844028\pi$
$968$	7.14187	+	8.95562i	0.229548	+	0.287844i
$969$	−0.318144	−	1.39388i	−0.0102203	−	0.0447778i
$970$	−11.6885	+	14.6569i	−0.375295	+	0.470605i
$971$	18.4713	−	23.1623i	0.592773	−	0.743314i	−0.391459	−	0.920196i	$-0.628030\pi$
$971$	18.4713	−	23.1623i	0.592773	−	0.743314i	0.984232	+	0.176882i	$0.0566010\pi$
$972$	0.480586			0.0154148
$973$	2.20611	+	9.66558i	0.0707245	+	0.309864i
$974$	2.95693	+	12.9551i	0.0947460	+	0.415110i
$975$	0.354929	−	1.55504i	0.0113668	−	0.0498013i
$976$	5.03268	+	22.0496i	0.161092	+	0.705791i
$977$	39.6840	+	19.1108i	1.26960	+	0.611408i	0.942697	−	0.333649i	$-0.108280\pi$
$977$	39.6840	+	19.1108i	1.26960	+	0.611408i	0.326905	+	0.945057i	$0.393994\pi$
$978$	−12.7601			−0.408023
$979$	14.4330	−	18.0984i	0.461281	−	0.578428i
$980$	−0.353867	−	0.170413i	−0.0113039	−	0.00544366i
$981$	16.5695			0.529024
$982$	−6.27077	+	7.86330i	−0.200108	+	0.250928i
$983$	−20.1431	−	25.2587i	−0.642467	−	0.805628i	0.348842	−	0.937181i	$-0.386575\pi$
$983$	−20.1431	−	25.2587i	−0.642467	−	0.805628i	−0.991309	+	0.131554i	$0.958003\pi$
$984$	3.77349			0.120294
$985$	21.3875	+	10.2997i	0.681464	+	0.328176i
$986$	−1.88004	+	0.905381i	−0.0598728	+	0.0288332i
$987$	10.9254	+	13.7000i	0.347759	+	0.436076i
$988$	−0.661760	−	0.318687i	−0.0210534	−	0.0101388i
$989$	5.25475	−	23.0225i	0.167091	−	0.732074i
$990$	−1.88911	+	8.27671i	−0.0600397	+	0.263051i
$991$	−8.24431	−	3.97025i	−0.261889	−	0.126119i	0.298332	−	0.954462i	$-0.403570\pi$
$991$	−8.24431	−	3.97025i	−0.261889	−	0.126119i	−0.560221	+	0.828343i	$0.689284\pi$
$992$	−9.62799	+	4.63659i	−0.305689	+	0.147212i
$993$	−0.0290731	−	0.127378i	−0.000922608	−	0.00404221i
$994$	−4.46180			−0.141520
$995$	−12.0391	+	15.0966i	−0.381665	+	0.478593i
$996$	1.34102	−	5.87538i	0.0424918	−	0.186169i
$997$	18.2946	+	22.9407i	0.579396	+	0.726540i	0.982010	−	0.188830i	$-0.0604696\pi$
$997$	18.2946	+	22.9407i	0.579396	+	0.726540i	−0.402614	+	0.915370i	$0.631898\pi$
$998$	−25.5195	+	12.2895i	−0.807806	+	0.389019i
$999$	−2.38953	+	2.99638i	−0.0756014	+	0.0948011i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	633.2.j.a.58.12	✓	102
211.171	even	7	inner	633.2.j.a.382.12	yes	102

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
633.2.j.a.58.12	✓	102	1.1	even	1	trivial
633.2.j.a.382.12	yes	102	211.171	even	7	inner

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:	\( N \)	\(=\)	\( 633 = 3 \cdot 211 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	633.j (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.11057 - 0.534825i) q^{2} +(0.900969 - 0.433884i) q^{3} +(-0.299641 + 0.375738i) q^{4} +(1.61591 + 0.778181i) q^{5} +(0.768542 - 0.963721i) q^{6} +(2.46010 + 1.18472i) q^{7} +(-0.680398 + 2.98102i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})\)	\(q+(1.11057 - 0.534825i) q^{2} +(0.900969 - 0.433884i) q^{3} +(-0.299641 + 0.375738i) q^{4} +(1.61591 + 0.778181i) q^{5} +(0.768542 - 0.963721i) q^{6} +(2.46010 + 1.18472i) q^{7} +(-0.680398 + 2.98102i) q^{8} +(0.623490 - 0.781831i) q^{9} +2.21078 q^{10} +(-3.45979 + 1.66615i) q^{11} +(-0.106941 + 0.468537i) q^{12} +(0.199033 + 0.872019i) q^{13} +3.36575 q^{14} +1.79353 q^{15} +(0.624808 + 2.73746i) q^{16} +(0.186191 - 0.815754i) q^{17} +(0.274289 - 1.20174i) q^{18} +1.70870 q^{19} +(-0.776585 + 0.373983i) q^{20} +2.73051 q^{21} +(-2.95126 + 3.70076i) q^{22} +1.98292 q^{23} +(0.680398 + 2.98102i) q^{24} +(-1.11185 - 1.39421i) q^{25} +(0.687418 + 0.861995i) q^{26} +(0.222521 - 0.974928i) q^{27} +(-1.18229 + 0.569362i) q^{28} +(-0.450199 - 1.97245i) q^{29} +(1.99184 - 0.959221i) q^{30} +(0.895885 - 3.92513i) q^{31} +(-1.65491 - 2.07519i) q^{32} +(-2.39425 + 3.00229i) q^{33} +(-0.229507 - 1.00554i) q^{34} +(3.05338 + 3.82881i) q^{35} +(0.106941 + 0.468537i) q^{36} +(-3.45297 - 1.66286i) q^{37} +(1.89764 - 0.913855i) q^{38} +(0.557677 + 0.699305i) q^{39} +(-3.41924 + 4.28759i) q^{40} +(0.274613 - 1.20316i) q^{41} +(3.03243 - 1.46034i) q^{42} +(2.65000 - 11.6104i) q^{43} +(0.410660 - 1.79922i) q^{44} +(1.61591 - 0.778181i) q^{45} +(2.20218 - 1.06051i) q^{46} +(4.00123 + 5.01739i) q^{47} +(1.75067 + 2.19528i) q^{48} +(0.284106 + 0.356258i) q^{49} +(-1.98045 - 0.953735i) q^{50} +(-0.186191 - 0.815754i) q^{51} +(-0.387289 - 0.186508i) q^{52} +(3.66062 + 4.59028i) q^{53} +(-0.274289 - 1.20174i) q^{54} -6.88728 q^{55} +(-5.20553 + 6.52753i) q^{56} +(1.53949 - 0.741377i) q^{57} +(-1.55489 - 1.94977i) q^{58} +(1.73357 - 7.59528i) q^{59} +(-0.537413 + 0.673895i) q^{60} +8.05475 q^{61} +(-1.10431 - 4.83829i) q^{62} +(2.46010 - 1.18472i) q^{63} +(-8.00736 - 3.85614i) q^{64} +(-0.356970 + 1.56399i) q^{65} +(-1.05329 + 4.61477i) q^{66} +(5.33439 + 2.56891i) q^{67} +(0.250719 + 0.314392i) q^{68} +(1.78655 - 0.860357i) q^{69} +(5.43874 + 2.61916i) q^{70} -1.32565 q^{71} +(1.90643 + 2.39059i) q^{72} +(-2.05399 + 2.57563i) q^{73} -4.72412 q^{74} +(-1.60667 - 0.773731i) q^{75} +(-0.511996 + 0.642023i) q^{76} -10.4854 q^{77} +(0.993348 + 0.478371i) q^{78} +(-2.28392 - 10.0065i) q^{79} +(-1.12061 + 4.90971i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(-0.338501 - 1.48307i) q^{82} -12.5398 q^{83} +(-0.818171 + 1.02595i) q^{84} +(0.935672 - 1.17330i) q^{85} +(-3.26651 - 14.3115i) q^{86} +(-1.26143 - 1.58178i) q^{87} +(-2.61278 - 11.4473i) q^{88} +(-5.43122 + 2.61554i) q^{89} +(1.37840 - 1.72846i) q^{90} +(-0.543460 + 2.38106i) q^{91} +(-0.594164 + 0.745058i) q^{92} +(-0.895885 - 3.92513i) q^{93} +(7.12709 + 3.43223i) q^{94} +(2.76111 + 1.32968i) q^{95} +(-2.39141 - 1.15164i) q^{96} +(-5.28704 + 6.62974i) q^{97} +(0.506057 + 0.243704i) q^{98} +(-0.854498 + 3.74380i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 102 q + 7 q^{2} + 17 q^{3} - 23 q^{4} + 2 q^{5} + 7 q^{6} + 2 q^{7} + q^{8} - 17 q^{9}+O(q^{10}) \) 102 * q + 7 * q^2 + 17 * q^3 - 23 * q^4 + 2 * q^5 + 7 * q^6 + 2 * q^7 + q^8 - 17 * q^9	\( 102 q + 7 q^{2} + 17 q^{3} - 23 q^{4} + 2 q^{5} + 7 q^{6} + 2 q^{7} + q^{8} - 17 q^{9} + 12 q^{10} - 6 q^{11} + 9 q^{12} + 6 q^{13} - 10 q^{14} + 12 q^{15} + 21 q^{16} + 3 q^{17} + 16 q^{19} + 10 q^{20} + 12 q^{21} + 12 q^{22} + 30 q^{23} - q^{24} + 9 q^{25} - 29 q^{26} + 17 q^{27} - 30 q^{28} + 9 q^{29} - 33 q^{30} + 34 q^{31} - 13 q^{32} - 8 q^{33} - 47 q^{34} - 29 q^{35} - 9 q^{36} + 17 q^{37} - 23 q^{38} + q^{39} - 26 q^{40} + 12 q^{41} - 11 q^{42} - 11 q^{43} + 37 q^{44} + 2 q^{45} + 27 q^{46} - 12 q^{47} + 28 q^{48} - 37 q^{49} + 98 q^{50} - 3 q^{51} - 4 q^{52} - q^{53} + 26 q^{55} - 81 q^{56} - 2 q^{57} + 15 q^{58} - 39 q^{59} - 10 q^{60} + 116 q^{61} + 61 q^{62} + 2 q^{63} + 33 q^{64} + 45 q^{65} + 9 q^{66} - 85 q^{67} - 83 q^{68} - 2 q^{69} - 8 q^{70} + 36 q^{71} - 20 q^{72} - 25 q^{73} - 76 q^{74} + 5 q^{75} + 56 q^{76} + 76 q^{77} - 6 q^{78} - 14 q^{79} - 124 q^{80} - 17 q^{81} + 23 q^{82} + 14 q^{83} - 19 q^{84} + 67 q^{85} + 61 q^{86} + 12 q^{87} - 123 q^{88} - 20 q^{89} - 23 q^{90} - 54 q^{91} + q^{92} - 34 q^{93} + 65 q^{94} + 19 q^{95} - 64 q^{96} - 30 q^{97} - 57 q^{98} + 8 q^{99}+O(q^{100}) \) 102 * q + 7 * q^2 + 17 * q^3 - 23 * q^4 + 2 * q^5 + 7 * q^6 + 2 * q^7 + q^8 - 17 * q^9 + 12 * q^10 - 6 * q^11 + 9 * q^12 + 6 * q^13 - 10 * q^14 + 12 * q^15 + 21 * q^16 + 3 * q^17 + 16 * q^19 + 10 * q^20 + 12 * q^21 + 12 * q^22 + 30 * q^23 - q^24 + 9 * q^25 - 29 * q^26 + 17 * q^27 - 30 * q^28 + 9 * q^29 - 33 * q^30 + 34 * q^31 - 13 * q^32 - 8 * q^33 - 47 * q^34 - 29 * q^35 - 9 * q^36 + 17 * q^37 - 23 * q^38 + q^39 - 26 * q^40 + 12 * q^41 - 11 * q^42 - 11 * q^43 + 37 * q^44 + 2 * q^45 + 27 * q^46 - 12 * q^47 + 28 * q^48 - 37 * q^49 + 98 * q^50 - 3 * q^51 - 4 * q^52 - q^53 + 26 * q^55 - 81 * q^56 - 2 * q^57 + 15 * q^58 - 39 * q^59 - 10 * q^60 + 116 * q^61 + 61 * q^62 + 2 * q^63 + 33 * q^64 + 45 * q^65 + 9 * q^66 - 85 * q^67 - 83 * q^68 - 2 * q^69 - 8 * q^70 + 36 * q^71 - 20 * q^72 - 25 * q^73 - 76 * q^74 + 5 * q^75 + 56 * q^76 + 76 * q^77 - 6 * q^78 - 14 * q^79 - 124 * q^80 - 17 * q^81 + 23 * q^82 + 14 * q^83 - 19 * q^84 + 67 * q^85 + 61 * q^86 + 12 * q^87 - 123 * q^88 - 20 * q^89 - 23 * q^90 - 54 * q^91 + q^92 - 34 * q^93 + 65 * q^94 + 19 * q^95 - 64 * q^96 - 30 * q^97 - 57 * q^98 + 8 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more