LMFDB - Embedded newform 350.2.h.c.211.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(71,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("350.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.h (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:	$2.79476407074$
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} + 25x^{14} + 241x^{12} + 1145x^{10} + 2841x^{8} + 3600x^{6} + 2156x^{4} + 480x^{2} + 16 $ x^16 + 25x^14 + 241x^12 + 1145x^10 + 2841x^8 + 3600x^6 + 2156x^4 + 480*x^2 + 16
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			211.1
Root			$0.200203i$ of defining polynomial
Character	$\chi$	$=$	350.211
Dual form			350.2.h.c.141.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 + 0.587785i) q^{2} +(-0.491708 + 1.51332i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.15788 - 0.586125i) q^{5} +(-0.491708 - 1.51332i) q^{6} -1.00000 q^{7} +(0.309017 + 0.951057i) q^{8} +(0.378688 + 0.275133i) q^{9} +O(q^{10})$	\(q+(-0.809017 + 0.587785i) q^{2} +(-0.491708 + 1.51332i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.15788 - 0.586125i) q^{5} +(-0.491708 - 1.51332i) q^{6} -1.00000 q^{7} +(0.309017 + 0.951057i) q^{8} +(0.378688 + 0.275133i) q^{9} +(-1.40125 + 1.74256i) q^{10} +(3.38214 - 2.45727i) q^{11} +(1.28731 + 0.935284i) q^{12} +(2.18378 + 1.58661i) q^{13} +(0.809017 - 0.587785i) q^{14} +(-0.174052 + 3.55377i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(0.392010 + 1.20648i) q^{17} -0.468084 q^{18} +(0.125748 + 0.387012i) q^{19} +(0.109384 - 2.23339i) q^{20} +(0.491708 - 1.51332i) q^{21} +(-1.29186 + 3.97595i) q^{22} +(-2.03401 + 1.47780i) q^{23} -1.59120 q^{24} +(4.31291 - 2.52958i) q^{25} -2.69930 q^{26} +(-4.46449 + 3.24364i) q^{27} +(-0.309017 + 0.951057i) q^{28} +(-1.52302 + 4.68737i) q^{29} +(-1.94804 - 2.97737i) q^{30} +(0.0347032 + 0.106805i) q^{31} +1.00000 q^{32} +(2.05561 + 6.32653i) q^{33} +(-1.02630 - 0.745648i) q^{34} +(-2.15788 + 0.586125i) q^{35} +(0.378688 - 0.275133i) q^{36} +(2.32495 + 1.68918i) q^{37} +(-0.329212 - 0.239187i) q^{38} +(-3.47483 + 2.52461i) q^{39} +(1.22426 + 1.87115i) q^{40} +(-0.0188840 - 0.0137200i) q^{41} +(0.491708 + 1.51332i) q^{42} -0.266806 q^{43} +(-1.29186 - 3.97595i) q^{44} +(0.978426 + 0.371746i) q^{45} +(0.776923 - 2.39112i) q^{46} +(-3.84626 + 11.8376i) q^{47} +(1.28731 - 0.935284i) q^{48} +1.00000 q^{49} +(-2.00237 + 4.58154i) q^{50} -2.01855 q^{51} +(2.18378 - 1.58661i) q^{52} +(2.03565 - 6.26507i) q^{53} +(1.70528 - 5.24832i) q^{54} +(5.85800 - 7.28486i) q^{55} +(-0.309017 - 0.951057i) q^{56} -0.647505 q^{57} +(-1.52302 - 4.68737i) q^{58} +(-7.48913 - 5.44117i) q^{59} +(3.32605 + 1.26371i) q^{60} +(9.07611 - 6.59418i) q^{61} +(-0.0908541 - 0.0660093i) q^{62} +(-0.378688 - 0.275133i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(5.64230 + 2.14375i) q^{65} +(-5.38167 - 3.91001i) q^{66} +(-4.65361 - 14.3223i) q^{67} +1.26857 q^{68} +(-1.23624 - 3.80475i) q^{69} +(1.40125 - 1.74256i) q^{70} +(2.11381 - 6.50565i) q^{71} +(-0.144646 + 0.445174i) q^{72} +(12.1411 - 8.82104i) q^{73} -2.87380 q^{74} +(1.70737 + 7.77064i) q^{75} +0.406929 q^{76} +(-3.38214 + 2.45727i) q^{77} +(1.32727 - 4.08491i) q^{78} +(0.455306 - 1.40129i) q^{79} +(-2.09028 - 0.794186i) q^{80} +(-2.27951 - 7.01561i) q^{81} +0.0233419 q^{82} +(0.568770 + 1.75050i) q^{83} +(-1.28731 - 0.935284i) q^{84} +(1.55306 + 2.37368i) q^{85} +(0.215850 - 0.156824i) q^{86} +(-6.34461 - 4.60963i) q^{87} +(3.38214 + 2.45727i) q^{88} +(-13.5025 + 9.81011i) q^{89} +(-1.01007 + 0.274356i) q^{90} +(-2.18378 - 1.58661i) q^{91} +(0.776923 + 2.39112i) q^{92} -0.178695 q^{93} +(-3.84626 - 11.8376i) q^{94} +(0.498187 + 0.761423i) q^{95} +(-0.491708 + 1.51332i) q^{96} +(-1.80444 + 5.55351i) q^{97} +(-0.809017 + 0.587785i) q^{98} +1.95685 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 4 q^{2} + q^{3} - 4 q^{4} - 4 q^{5} + q^{6} - 16 q^{7} - 4 q^{8} - q^{9}+O(q^{10}) $ 16 * q - 4 * q^2 + q^3 - 4 * q^4 - 4 * q^5 + q^6 - 16 * q^7 - 4 * q^8 - q^9	\( 16 q - 4 q^{2} + q^{3} - 4 q^{4} - 4 q^{5} + q^{6} - 16 q^{7} - 4 q^{8} - q^{9} + q^{10} + 7 q^{11} - 4 q^{12} + 9 q^{13} + 4 q^{14} - 4 q^{16} - 2 q^{17} + 14 q^{18} - 24 q^{19} - 9 q^{20} - q^{21} - 8 q^{22} - 5 q^{23} + 6 q^{24} - 6 q^{25} - 6 q^{26} - 32 q^{27} + 4 q^{28} + 20 q^{29} + 15 q^{30} + 7 q^{31} + 16 q^{32} + 15 q^{33} + 3 q^{34} + 4 q^{35} - q^{36} - 6 q^{37} + 6 q^{38} + 34 q^{39} + 11 q^{40} + 9 q^{41} - q^{42} - 22 q^{43} - 8 q^{44} - 8 q^{45} - 40 q^{47} - 4 q^{48} + 16 q^{49} - q^{50} + 14 q^{51} + 9 q^{52} - 24 q^{53} + 23 q^{54} - 26 q^{55} + 4 q^{56} + 52 q^{57} + 20 q^{58} - 17 q^{59} - 5 q^{60} + 2 q^{61} - 23 q^{62} + q^{63} - 4 q^{64} - 16 q^{65} - 10 q^{66} - 14 q^{67} - 2 q^{68} - 35 q^{69} - q^{70} + 7 q^{71} - 6 q^{72} + 5 q^{73} - 36 q^{74} + 35 q^{75} + 36 q^{76} - 7 q^{77} - 46 q^{78} + 20 q^{79} + q^{80} + 49 q^{81} + 44 q^{82} + 17 q^{83} + 4 q^{84} - 13 q^{85} + 8 q^{86} - 66 q^{87} + 7 q^{88} + 27 q^{89} + 37 q^{90} - 9 q^{91} - 34 q^{93} - 40 q^{94} - 20 q^{95} + q^{96} + 6 q^{97} - 4 q^{98} - 16 q^{99}+O(q^{100}) \) 16 * q - 4 * q^2 + q^3 - 4 * q^4 - 4 * q^5 + q^6 - 16 * q^7 - 4 * q^8 - q^9 + q^10 + 7 * q^11 - 4 * q^12 + 9 * q^13 + 4 * q^14 - 4 * q^16 - 2 * q^17 + 14 * q^18 - 24 * q^19 - 9 * q^20 - q^21 - 8 * q^22 - 5 * q^23 + 6 * q^24 - 6 * q^25 - 6 * q^26 - 32 * q^27 + 4 * q^28 + 20 * q^29 + 15 * q^30 + 7 * q^31 + 16 * q^32 + 15 * q^33 + 3 * q^34 + 4 * q^35 - q^36 - 6 * q^37 + 6 * q^38 + 34 * q^39 + 11 * q^40 + 9 * q^41 - q^42 - 22 * q^43 - 8 * q^44 - 8 * q^45 - 40 * q^47 - 4 * q^48 + 16 * q^49 - q^50 + 14 * q^51 + 9 * q^52 - 24 * q^53 + 23 * q^54 - 26 * q^55 + 4 * q^56 + 52 * q^57 + 20 * q^58 - 17 * q^59 - 5 * q^60 + 2 * q^61 - 23 * q^62 + q^63 - 4 * q^64 - 16 * q^65 - 10 * q^66 - 14 * q^67 - 2 * q^68 - 35 * q^69 - q^70 + 7 * q^71 - 6 * q^72 + 5 * q^73 - 36 * q^74 + 35 * q^75 + 36 * q^76 - 7 * q^77 - 46 * q^78 + 20 * q^79 + q^80 + 49 * q^81 + 44 * q^82 + 17 * q^83 + 4 * q^84 - 13 * q^85 + 8 * q^86 - 66 * q^87 + 7 * q^88 + 27 * q^89 + 37 * q^90 - 9 * q^91 - 34 * q^93 - 40 * q^94 - 20 * q^95 + q^96 + 6 * q^97 - 4 * q^98 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{4}{5}\right)$

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 $

$2$	−0.809017	+	0.587785i	−0.572061	+	0.415627i
$2$	−0.809017	+	0.587785i	−0.572061	+	0.415627i
$3$	−0.491708	+	1.51332i	−0.283888	+	0.873716i	0.702842	+	0.711346i	$0.251914\pi$
$3$	−0.491708	+	1.51332i	−0.283888	+	0.873716i	−0.986730	+	0.162370i	$0.948086\pi$
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	2.15788	−	0.586125i	0.965034	−	0.262123i
$5$	2.15788	−	0.586125i	0.965034	−	0.262123i
$6$	−0.491708	−	1.51332i	−0.200739	−	0.617811i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	0.309017	+	0.951057i	0.109254	+	0.336249i
$9$	0.378688	+	0.275133i	0.126229	+	0.0917109i
$10$	−1.40125	+	1.74256i	−0.443114	+	0.551045i
$11$	3.38214	−	2.45727i	1.01975	−	0.740895i	0.0535220	−	0.998567i	$-0.482955\pi$
$11$	3.38214	−	2.45727i	1.01975	−	0.740895i	0.966233	+	0.257672i	$0.0829553\pi$
$12$	1.28731	+	0.935284i	0.371614	+	0.269993i
$13$	2.18378	+	1.58661i	0.605672	+	0.440046i	0.847888	−	0.530176i	$-0.177874\pi$
$13$	2.18378	+	1.58661i	0.605672	+	0.440046i	−0.242216	+	0.970222i	$0.577874\pi$
$14$	0.809017	−	0.587785i	0.216219	−	0.157092i
$15$	−0.174052	+	3.55377i	−0.0449401	+	0.917580i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	0.392010	+	1.20648i	0.0950765	+	0.292615i	0.987274	−	0.159031i	$-0.0508369\pi$
$17$	0.392010	+	1.20648i	0.0950765	+	0.292615i	−0.892197	+	0.451646i	$0.850837\pi$
$18$	−0.468084			−0.110328
$19$	0.125748	+	0.387012i	0.0288485	+	0.0887867i	0.964444	−	0.264287i	$-0.0851366\pi$
$19$	0.125748	+	0.387012i	0.0288485	+	0.0887867i	−0.935596	+	0.353074i	$0.885137\pi$
$20$	0.109384	−	2.23339i	0.0244591	−	0.499401i
$21$	0.491708	−	1.51332i	0.107299	−	0.330234i
$22$	−1.29186	+	3.97595i	−0.275426	+	0.847675i
$23$	−2.03401	+	1.47780i	−0.424120	+	0.308142i	−0.779294	−	0.626659i	$-0.784422\pi$
$23$	−2.03401	+	1.47780i	−0.424120	+	0.308142i	0.355173	+	0.934801i	$0.384422\pi$
$24$	−1.59120			−0.324802
$25$	4.31291	−	2.52958i	0.862583	−	0.505916i
$26$	−2.69930			−0.529377
$27$	−4.46449	+	3.24364i	−0.859192	+	0.624239i
$28$	−0.309017	+	0.951057i	−0.0583987	+	0.179733i
$29$	−1.52302	+	4.68737i	−0.282817	+	0.870422i	0.704227	+	0.709975i	$0.251294\pi$
$29$	−1.52302	+	4.68737i	−0.282817	+	0.870422i	−0.987044	+	0.160447i	$0.948706\pi$
$30$	−1.94804	−	2.97737i	−0.355662	−	0.543590i
$31$	0.0347032	+	0.106805i	0.00623287	+	0.0191828i	0.954125	−	0.299410i	$-0.0967898\pi$
$31$	0.0347032	+	0.106805i	0.00623287	+	0.0191828i	−0.947892	+	0.318593i	$0.896790\pi$
$32$	1.00000			0.176777
$33$	2.05561	+	6.32653i	0.357836	+	1.10131i
$34$	−1.02630	−	0.745648i	−0.176008	−	0.127878i
$35$	−2.15788	+	0.586125i	−0.364749	+	0.0990732i
$36$	0.378688	−	0.275133i	0.0631146	−	0.0458554i
$37$	2.32495	+	1.68918i	0.382220	+	0.277699i	0.762260	−	0.647271i	$-0.224090\pi$
$37$	2.32495	+	1.68918i	0.382220	+	0.277699i	−0.380040	+	0.924970i	$0.624090\pi$
$38$	−0.329212	−	0.239187i	−0.0534053	−	0.0388012i
$39$	−3.47483	+	2.52461i	−0.556418	+	0.404262i
$40$	1.22426	+	1.87115i	0.193573	+	0.295854i
$41$	−0.0188840	−	0.0137200i	−0.00294918	−	0.00214271i	0.586310	−	0.810087i	$-0.300580\pi$
$41$	−0.0188840	−	0.0137200i	−0.00294918	−	0.00214271i	−0.589259	+	0.807944i	$0.700580\pi$
$42$	0.491708	+	1.51332i	0.0758722	+	0.233510i
$43$	−0.266806			−0.0406875			−0.0203437	−	0.999793i	$-0.506476\pi$
$43$	−0.266806			−0.0406875			−0.0203437	+	0.999793i	$0.506476\pi$
$44$	−1.29186	−	3.97595i	−0.194756	−	0.599397i
$45$	0.978426	+	0.371746i	0.145855	+	0.0554166i
$46$	0.776923	−	2.39112i	0.114551	−	0.352552i
$47$	−3.84626	+	11.8376i	−0.561035	+	1.72669i	0.118414	+	0.992964i	$0.462219\pi$
$47$	−3.84626	+	11.8376i	−0.561035	+	1.72669i	−0.679448	+	0.733723i	$0.737781\pi$
$48$	1.28731	−	0.935284i	0.185807	−	0.134997i
$49$	1.00000			0.142857
$50$	−2.00237	+	4.58154i	−0.283178	+	0.647928i
$51$	−2.01855			−0.282654
$52$	2.18378	−	1.58661i	0.302836	−	0.220023i
$53$	2.03565	−	6.26507i	0.279617	−	0.860574i	−0.708343	−	0.705868i	$-0.750557\pi$
$53$	2.03565	−	6.26507i	0.279617	−	0.860574i	0.987961	−	0.154706i	$-0.0494429\pi$
$54$	1.70528	−	5.24832i	0.232060	−	0.714206i
$55$	5.85800	−	7.28486i	0.789893	−	0.982290i
$56$	−0.309017	−	0.951057i	−0.0412941	−	0.127090i
$57$	−0.647505			−0.0857641
$58$	−1.52302	−	4.68737i	−0.199982	−	0.615482i
$59$	−7.48913	−	5.44117i	−0.975002	−	0.708380i	−0.0184159	−	0.999830i	$-0.505862\pi$
$59$	−7.48913	−	5.44117i	−0.975002	−	0.708380i	−0.956586	+	0.291450i	$0.905862\pi$
$60$	3.32605	+	1.26371i	0.429391	+	0.163144i
$61$	9.07611	−	6.59418i	1.16208	−	0.844298i	0.172038	−	0.985090i	$-0.444965\pi$
$61$	9.07611	−	6.59418i	1.16208	−	0.844298i	0.990039	+	0.140792i	$0.0449649\pi$
$62$	−0.0908541	−	0.0660093i	−0.0115385	−	0.00838319i
$63$	−0.378688	−	0.275133i	−0.0477102	−	0.0346635i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	5.64230	+	2.14375i	0.699841	+	0.265899i
$66$	−5.38167	−	3.91001i	−0.662437	−	0.481289i
$67$	−4.65361	−	14.3223i	−0.568529	−	1.74975i	−0.657227	−	0.753692i	$-0.728271\pi$
$67$	−4.65361	−	14.3223i	−0.568529	−	1.74975i	0.0886989	−	0.996058i	$-0.471729\pi$
$68$	1.26857			0.153837
$69$	−1.23624	−	3.80475i	−0.148826	−	0.458039i
$70$	1.40125	−	1.74256i	0.167481	−	0.208275i
$71$	2.11381	−	6.50565i	0.250863	−	0.772078i	−0.743753	−	0.668454i	$-0.766956\pi$
$71$	2.11381	−	6.50565i	0.250863	−	0.772078i	0.994617	−	0.103624i	$-0.0330438\pi$
$72$	−0.144646	+	0.445174i	−0.0170467	+	0.0524643i
$73$	12.1411	−	8.82104i	1.42101	−	1.03242i	0.429407	−	0.903111i	$-0.358723\pi$
$73$	12.1411	−	8.82104i	1.42101	−	1.03242i	0.991604	−	0.129313i	$-0.0412773\pi$
$74$	−2.87380			−0.334073
$75$	1.70737	+	7.77064i	0.197150	+	0.897276i
$76$	0.406929			0.0466779
$77$	−3.38214	+	2.45727i	−0.385431	+	0.280032i
$78$	1.32727	−	4.08491i	0.150283	−	0.462525i
$79$	0.455306	−	1.40129i	0.0512260	−	0.157657i	−0.922171	−	0.386782i	$-0.873586\pi$
$79$	0.455306	−	1.40129i	0.0512260	−	0.157657i	0.973397	+	0.229125i	$0.0735865\pi$
$80$	−2.09028	−	0.794186i	−0.233700	−	0.0887927i
$81$	−2.27951	−	7.01561i	−0.253279	−	0.779512i
$82$	0.0233419			0.00257768
$83$	0.568770	+	1.75050i	0.0624307	+	0.192142i	0.977407	−	0.211365i	$-0.0677910\pi$
$83$	0.568770	+	1.75050i	0.0624307	+	0.192142i	−0.914976	+	0.403507i	$0.867791\pi$
$84$	−1.28731	−	0.935284i	−0.140457	−	0.102048i
$85$	1.55306	+	2.37368i	0.168453	+	0.257462i
$86$	0.215850	−	0.156824i	0.0232757	−	0.0169108i
$87$	−6.34461	−	4.60963i	−0.680214	−	0.494204i
$88$	3.38214	+	2.45727i	0.360538	+	0.261946i
$89$	−13.5025	+	9.81011i	−1.43126	+	1.03987i	−0.441477	+	0.897272i	$0.645545\pi$
$89$	−13.5025	+	9.81011i	−1.43126	+	1.03987i	−0.989781	+	0.142597i	$0.954455\pi$
$90$	−1.01007	+	0.274356i	−0.106471	+	0.0289196i
$91$	−2.18378	−	1.58661i	−0.228922	−	0.166322i
$92$	0.776923	+	2.39112i	0.0809998	+	0.249292i
$93$	−0.178695			−0.0185298
$94$	−3.84626	−	11.8376i	−0.396712	−	1.22095i
$95$	0.498187	+	0.761423i	0.0511129	+	0.0781203i
$96$	−0.491708	+	1.51332i	−0.0501847	+	0.154453i
$97$	−1.80444	+	5.55351i	−0.183214	+	0.563873i	−0.999913	−	0.0131900i	$-0.995801\pi$
$97$	−1.80444	+	5.55351i	−0.183214	+	0.563873i	0.816699	+	0.577063i	$0.195801\pi$
$98$	−0.809017	+	0.587785i	−0.0817231	+	0.0593753i
$99$	1.95685			0.196671
$100$	−1.07301	−	4.88351i	−0.107301	−	0.488351i
$101$	5.79482			0.576606			0.288303	−	0.957539i	$-0.406909\pi$
$101$	5.79482			0.576606			0.288303	+	0.957539i	$0.406909\pi$
$102$	1.63304	−	1.18647i	0.161695	−	0.117479i
$103$	0.856370	−	2.63564i	0.0843807	−	0.259697i	−0.899960	−	0.435972i	$-0.856405\pi$
$103$	0.856370	−	2.63564i	0.0843807	−	0.259697i	0.984341	+	0.176275i	$0.0564047\pi$
$104$	−0.834130	+	2.56719i	−0.0817932	+	0.251734i
$105$	0.174052	−	3.55377i	0.0169858	−	0.346813i
$106$	2.03565	+	6.26507i	0.197719	+	0.608518i
$107$	3.98281			0.385032			0.192516	−	0.981294i	$-0.438335\pi$
$107$	3.98281			0.385032			0.192516	+	0.981294i	$0.438335\pi$
$108$	1.70528	+	5.24832i	0.164091	+	0.505020i
$109$	−12.5696	−	9.13233i	−1.20395	−	0.874718i	−0.209279	−	0.977856i	$-0.567112\pi$
$109$	−12.5696	−	9.13233i	−1.20395	−	0.874718i	−0.994667	+	0.103138i	$0.967112\pi$
$110$	−0.457287	+	9.33682i	−0.0436006	+	0.890231i
$111$	−3.69947	+	2.68782i	−0.351138	+	0.255117i
$112$	0.809017	+	0.587785i	0.0764449	+	0.0555405i
$113$	−5.65118	−	4.10582i	−0.531618	−	0.386243i	0.289345	−	0.957225i	$-0.406563\pi$
$113$	−5.65118	−	4.10582i	−0.531618	−	0.386243i	−0.820963	+	0.570982i	$0.806563\pi$
$114$	0.523842	−	0.380594i	0.0490623	−	0.0356459i
$115$	−3.52298	+	4.38109i	−0.328520	+	0.408539i
$116$	3.98731	+	2.89695i	0.370213	+	0.268975i
$117$	0.390443	+	1.20166i	0.0360964	+	0.111093i
$118$	9.25708			0.852183
$119$	−0.392010	−	1.20648i	−0.0359355	−	0.110598i
$120$	−3.43362	+	0.932642i	−0.313445	+	0.0851382i
$121$	2.00153	−	6.16006i	0.181957	−	0.560006i
$122$	−3.46677	+	10.6696i	−0.313866	+	0.965981i
$123$	0.0300482	−	0.0218313i	0.00270935	−	0.00196846i
$124$	0.112302			0.0100850
$125$	7.82411	−	7.98644i	0.699810	−	0.714329i
$126$	0.468084			0.0417002
$127$	8.20631	−	5.96223i	0.728192	−	0.529063i	−0.160799	−	0.986987i	$-0.551407\pi$
$127$	8.20631	−	5.96223i	0.728192	−	0.529063i	0.888991	+	0.457925i	$0.151407\pi$
$128$	0.309017	−	0.951057i	0.0273135	−	0.0840623i
$129$	0.131190	−	0.403762i	0.0115507	−	0.0355493i
$130$	−5.82478	+	1.58213i	−0.510867	+	0.138762i
$131$	3.70943	+	11.4164i	0.324094	+	0.997459i	0.971848	+	0.235609i	$0.0757085\pi$
$131$	3.70943	+	11.4164i	0.324094	+	0.997459i	−0.647754	+	0.761850i	$0.724291\pi$
$132$	6.65210			0.578991
$133$	−0.125748	−	0.387012i	−0.0109037	−	0.0335582i
$134$	12.1833	+	8.85169i	1.05248	+	0.764669i
$135$	−7.73267	+	9.61615i	−0.665522	+	0.827626i
$136$	−1.02630	+	0.745648i	−0.0880042	+	0.0639388i
$137$	−17.0742	−	12.4051i	−1.45874	−	1.05984i	−0.983688	−	0.179884i	$-0.942428\pi$
$137$	−17.0742	−	12.4051i	−1.45874	−	1.05984i	−0.475056	−	0.879956i	$-0.657572\pi$
$138$	3.23652	+	2.35147i	0.275511	+	0.200170i
$139$	−8.46710	+	6.15171i	−0.718170	+	0.521781i	−0.885799	−	0.464069i	$-0.846389\pi$
$139$	−8.46710	+	6.15171i	−0.718170	+	0.521781i	0.167629	+	0.985850i	$0.446389\pi$
$140$	−0.109384	+	2.23339i	−0.00924466	+	0.188756i
$141$	−16.0228	−	11.6413i	−1.34936	−	0.980370i
$142$	2.11381	+	6.50565i	0.177387	+	0.545942i
$143$	11.2846			0.943665
$144$	−0.144646	−	0.445174i	−0.0120538	−	0.0370978i
$145$	−0.539110	+	11.0075i	−0.0447707	+	0.914121i
$146$	−4.63749	+	14.2727i	−0.383802	+	1.18122i
$147$	−0.491708	+	1.51332i	−0.0405554	+	0.124817i
$148$	2.32495	−	1.68918i	0.191110	−	0.138850i
$149$	2.77951			0.227706			0.113853	−	0.993498i	$-0.463681\pi$
$149$	2.77951			0.227706			0.113853	+	0.993498i	$0.463681\pi$
$150$	−5.94876	−	5.28301i	−0.485714	−	0.431356i
$151$	8.25761			0.671995			0.335998	−	0.941863i	$-0.390927\pi$
$151$	8.25761			0.671995			0.335998	+	0.941863i	$0.390927\pi$
$152$	−0.329212	+	0.239187i	−0.0267026	+	0.0194006i
$153$	−0.183494	+	0.564735i	−0.0148346	+	0.0456561i
$154$	1.29186	−	3.97595i	0.104101	−	0.320391i
$155$	0.137487	+	0.210133i	0.0110432	+	0.0168783i
$156$	1.32727	+	4.08491i	0.106266	+	0.327055i
$157$	6.70155			0.534842			0.267421	−	0.963580i	$-0.413829\pi$
$157$	6.70155			0.534842			0.267421	+	0.963580i	$0.413829\pi$
$158$	0.455306	+	1.40129i	0.0362222	+	0.111481i
$159$	8.48012	+	6.16117i	0.672517	+	0.488613i
$160$	2.15788	−	0.586125i	0.170596	−	0.0463373i
$161$	2.03401	−	1.47780i	0.160302	−	0.116467i
$162$	5.96783	+	4.33588i	0.468877	+	0.340659i
$163$	−18.2840	−	13.2841i	−1.43211	−	1.04049i	−0.989619	−	0.143719i	$-0.954094\pi$
$163$	−18.2840	−	13.2841i	−1.43211	−	1.04049i	−0.442494	−	0.896772i	$-0.645906\pi$
$164$	−0.0188840	+	0.0137200i	−0.00147459	+	0.00107135i
$165$	8.14391	+	12.4471i	0.634002	+	0.969002i
$166$	−1.48906	−	1.08187i	−0.115573	−	0.0839690i
$167$	−4.89669	−	15.0705i	−0.378917	−	1.16619i	−0.940798	−	0.338969i	$-0.889922\pi$
$167$	−4.89669	−	15.0705i	−0.378917	−	1.16619i	0.561880	−	0.827219i	$-0.310078\pi$
$168$	1.59120			0.122764
$169$	−1.76565	−	5.43412i	−0.135819	−	0.418009i
$170$	−2.65167	−	1.00748i	−0.203374	−	0.0772704i
$171$	−0.0588605	+	0.181154i	−0.00450118	+	0.0138532i
$172$	−0.0824474	+	0.253747i	−0.00628656	+	0.0193480i
$173$	−9.15675	+	6.65277i	−0.696174	+	0.505800i	−0.878684	−	0.477404i	$-0.841578\pi$
$173$	−9.15675	+	6.65277i	−0.696174	+	0.505800i	0.182510	+	0.983204i	$0.441578\pi$
$174$	7.84237			0.594529
$175$	−4.31291	+	2.52958i	−0.326026	+	0.191218i
$176$	−4.18056			−0.315121
$177$	11.9167	−	8.65799i	0.895714	−	0.650775i
$178$	5.15748	−	15.8731i	0.386570	−	1.18974i
$179$	−6.29644	+	19.3784i	−0.470618	+	1.44841i	0.381159	+	0.924509i	$0.375525\pi$
$179$	−6.29644	+	19.3784i	−0.470618	+	1.44841i	−0.851777	+	0.523904i	$0.824475\pi$
$180$	0.655901	−	0.815662i	0.0488880	−	0.0607959i
$181$	4.93947	+	15.2021i	0.367148	+	1.12997i	0.948625	+	0.316403i	$0.102475\pi$
$181$	4.93947	+	15.2021i	0.367148	+	1.12997i	−0.581477	+	0.813563i	$0.697525\pi$
$182$	2.69930			0.200086
$183$	5.51632	+	16.9775i	0.407778	+	1.25501i
$184$	−2.03401	−	1.47780i	−0.149949	−	0.108944i
$185$	6.00705	+	2.28233i	0.441647	+	0.167801i
$186$	0.144567	−	0.105034i	0.0106002	−	0.00770147i
$187$	4.29049	+	3.11723i	0.313752	+	0.227954i
$188$	10.0696	+	7.31602i	0.734404	+	0.533576i
$189$	4.46449	−	3.24364i	0.324744	−	0.235940i
$190$	−0.850595	−	0.323177i	−0.0617086	−	0.0234457i
$191$	−8.85877	−	6.43628i	−0.640998	−	0.465713i	0.219195	−	0.975681i	$-0.429657\pi$
$191$	−8.85877	−	6.43628i	−0.640998	−	0.465713i	−0.860193	+	0.509969i	$0.829657\pi$
$192$	−0.491708	−	1.51332i	−0.0354859	−	0.109215i
$193$	−13.7905			−0.992661			−0.496330	−	0.868134i	$-0.665320\pi$
$193$	−13.7905			−0.992661			−0.496330	+	0.868134i	$0.665320\pi$
$194$	−1.80444	−	5.55351i	−0.129552	−	0.398719i
$195$	−6.01854	+	7.48450i	−0.430997	+	0.535977i
$196$	0.309017	−	0.951057i	0.0220726	−	0.0679326i
$197$	−6.04365	+	18.6004i	−0.430592	+	1.32523i	0.466945	+	0.884286i	$0.345355\pi$
$197$	−6.04365	+	18.6004i	−0.430592	+	1.32523i	−0.897537	+	0.440939i	$0.854645\pi$
$198$	−1.58313	+	1.15021i	−0.112508	+	0.0817417i
$199$	22.7853			1.61521			0.807605	−	0.589724i	$-0.200763\pi$
$199$	22.7853			1.61521			0.807605	+	0.589724i	$0.200763\pi$
$200$	3.73854	+	3.32014i	0.264354	+	0.234770i
$201$	23.9625			1.69018
$202$	−4.68811	+	3.40611i	−0.329854	+	0.239653i
$203$	1.52302	−	4.68737i	0.106895	−	0.328989i
$204$	−0.623767	+	1.91976i	−0.0436724	+	0.134410i
$205$	−0.0487911	−	0.0185378i	−0.00340771	−	0.00129474i
$206$	0.856370	+	2.63564i	0.0596661	+	0.183634i
$207$	−1.17684			−0.0817963
$208$	−0.834130	−	2.56719i	−0.0578365	−	0.178003i
$209$	1.37629	+	0.999934i	0.0952001	+	0.0691669i
$210$	1.94804	+	2.97737i	0.134428	+	0.205458i
$211$	−10.2840	+	7.47173i	−0.707976	+	0.514375i	−0.882520	−	0.470274i	$-0.844155\pi$
$211$	−10.2840	+	7.47173i	−0.707976	+	0.514375i	0.174544	+	0.984649i	$0.444155\pi$
$212$	−5.32939	−	3.87203i	−0.366024	−	0.265932i
$213$	8.80575	+	6.39775i	0.603360	+	0.438367i
$214$	−3.22216	+	2.34103i	−0.220262	+	0.160030i
$215$	−0.575735	+	0.156381i	−0.0392648	+	0.0106651i
$216$	−4.46449	−	3.24364i	−0.303770	−	0.220702i
$217$	−0.0347032	−	0.106805i	−0.00235580	−	0.00725042i
$218$	15.5368			1.05229
$219$	7.37918	+	22.7108i	0.498639	+	1.53465i
$220$	−5.11809	−	7.82243i	−0.345062	−	0.527388i
$221$	−1.05815	+	3.25666i	−0.0711792	+	0.219067i
$222$	1.41307	−	4.34898i	0.0948391	−	0.291885i
$223$	−6.52780	+	4.74272i	−0.437134	+	0.317596i	−0.784495	−	0.620135i	$-0.787078\pi$
$223$	−6.52780	+	4.74272i	−0.437134	+	0.317596i	0.347361	+	0.937731i	$0.387078\pi$
$224$	−1.00000			−0.0668153
$225$	2.32922	+	0.228704i	0.155281	+	0.0152469i
$226$	6.98524			0.464651
$227$	−6.27790	+	4.56116i	−0.416679	+	0.302735i	−0.776300	−	0.630363i	$-0.782906\pi$
$227$	−6.27790	+	4.56116i	−0.416679	+	0.302735i	0.359621	+	0.933098i	$0.382906\pi$
$228$	−0.200090	+	0.615814i	−0.0132513	+	0.0407833i
$229$	3.46516	−	10.6647i	0.228984	−	0.704741i	−0.768878	−	0.639395i	$-0.779185\pi$
$229$	3.46516	−	10.6647i	0.228984	−	0.704741i	0.997863	−	0.0653462i	$-0.0208152\pi$
$230$	0.275011	−	5.61514i	0.0181337	−	0.370251i
$231$	−2.05561	−	6.32653i	−0.135249	−	0.416255i
$232$	−4.92859			−0.323578
$233$	−8.48498	−	26.1141i	−0.555870	−	1.71079i	−0.693636	−	0.720326i	$-0.743992\pi$
$233$	−8.48498	−	26.1141i	−0.555870	−	1.71079i	0.137766	−	0.990465i	$-0.456008\pi$
$234$	−1.02219	−	0.742666i	−0.0668228	−	0.0485496i
$235$	−1.36148	+	27.7985i	−0.0888132	+	1.81337i
$236$	−7.48913	+	5.44117i	−0.487501	+	0.354190i
$237$	1.89672	+	1.37805i	0.123205	+	0.0895139i
$238$	1.02630	+	0.745648i	0.0665249	+	0.0483332i
$239$	19.5393	−	14.1961i	1.26389	−	0.918271i	0.264950	−	0.964262i	$-0.414645\pi$
$239$	19.5393	−	14.1961i	1.26389	−	0.918271i	0.998942	+	0.0459914i	$0.0146447\pi$
$240$	2.22967	−	2.77276i	0.143924	−	0.178981i
$241$	−12.8317	−	9.32278i	−0.826563	−	0.600533i	0.0920217	−	0.995757i	$-0.470667\pi$
$241$	−12.8317	−	9.32278i	−0.826563	−	0.600533i	−0.918585	+	0.395224i	$0.870667\pi$
$242$	2.00153	+	6.16006i	0.128663	+	0.395984i
$243$	−4.81752			−0.309044
$244$	−3.46677	−	10.6696i	−0.221937	−	0.683052i
$245$	2.15788	−	0.586125i	0.137862	−	0.0374462i
$246$	−0.0114774	+	0.0353238i	−0.000731771	+	0.00225216i
$247$	−0.339432	+	1.04466i	−0.0215975	+	0.0664703i
$248$	−0.0908541	+	0.0660093i	−0.00576924	+	0.00419160i
$249$	−2.92873			−0.185601
$250$	−1.63553	+	11.0601i	−0.103440	+	0.699500i
$251$	−8.89540			−0.561473			−0.280736	−	0.959785i	$-0.590579\pi$
$251$	−8.89540			−0.561473			−0.280736	+	0.959785i	$0.590579\pi$
$252$	−0.378688	+	0.275133i	−0.0238551	+	0.0173317i
$253$	−3.24797	+	9.99623i	−0.204198	+	0.628458i
$254$	−3.13453	+	9.64709i	−0.196678	+	0.605313i
$255$	−4.35580	+	1.18312i	−0.272771	+	0.0740901i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	−8.34115			−0.520307			−0.260153	−	0.965567i	$-0.583773\pi$
$257$	−8.34115			−0.520307			−0.260153	+	0.965567i	$0.583773\pi$
$258$	0.131190	+	0.403762i	0.00816755	+	0.0251371i
$259$	−2.32495	−	1.68918i	−0.144466	−	0.104960i
$260$	3.78239	−	4.70369i	0.234574	−	0.291710i
$261$	−1.86640	+	1.35602i	−0.115527	+	0.0839353i
$262$	−9.71140	−	7.05575i	−0.599972	−	0.435906i
$263$	−11.5783	−	8.41212i	−0.713948	−	0.518714i	0.170497	−	0.985358i	$-0.445463\pi$
$263$	−11.5783	−	8.41212i	−0.713948	−	0.518714i	−0.884445	+	0.466645i	$0.845463\pi$
$264$	−5.38167	+	3.91001i	−0.331219	+	0.240644i
$265$	0.720568	−	14.7124i	0.0442641	−	0.903778i
$266$	0.329212	+	0.239187i	0.0201853	+	0.0146655i
$267$	−8.20658	−	25.2573i	−0.502235	−	1.54572i
$268$	−15.0594			−0.919898
$269$	2.59846	+	7.99722i	0.158431	+	0.487599i	0.998492	−	0.0548916i	$-0.0174813\pi$
$269$	2.59846	+	7.99722i	0.158431	+	0.487599i	−0.840062	+	0.542491i	$0.817481\pi$
$270$	0.603628	−	12.3248i	0.0367356	−	0.750062i
$271$	7.53170	−	23.1802i	0.457518	−	1.40810i	−0.410635	−	0.911800i	$-0.634693\pi$
$271$	7.53170	−	23.1802i	0.457518	−	1.40810i	0.868153	−	0.496297i	$-0.165307\pi$
$272$	0.392010	−	1.20648i	0.0237691	−	0.0731538i
$273$	3.47483	−	2.52461i	0.210306	−	0.152797i
$274$	21.1048			1.27499
$275$	8.37104	−	19.1534i	0.504792	−	1.15499i
$276$	−4.00055			−0.240805
$277$	5.43196	−	3.94655i	0.326375	−	0.237125i	−0.412516	−	0.910950i	$-0.635350\pi$
$277$	5.43196	−	3.94655i	0.326375	−	0.237125i	0.738891	+	0.673825i	$0.235350\pi$
$278$	3.23415	−	9.95368i	0.193971	−	0.596982i
$279$	−0.0162440	+	0.0499938i	−0.000972502	+	0.00299305i
$280$	−1.22426	−	1.87115i	−0.0731636	−	0.111822i
$281$	−1.14106	−	3.51183i	−0.0680701	−	0.209498i	0.911235	−	0.411886i	$-0.135130\pi$
$281$	−1.14106	−	3.51183i	−0.0680701	−	0.209498i	−0.979305	+	0.202388i	$0.935130\pi$
$282$	19.8053			1.17939
$283$	8.07588	+	24.8550i	0.480061	+	1.47748i	0.839008	+	0.544119i	$0.183136\pi$
$283$	8.07588	+	24.8550i	0.480061	+	1.47748i	−0.358947	+	0.933358i	$0.616864\pi$
$284$	−5.53403	−	4.02071i	−0.328384	−	0.238585i
$285$	−1.39724	+	0.379519i	−0.0827653	+	0.0224808i
$286$	−9.12943	+	6.63292i	−0.539834	+	0.392213i
$287$	0.0188840	+	0.0137200i	0.00111469	+	0.000809867i
$288$	0.378688	+	0.275133i	0.0223144	+	0.0162123i
$289$	12.4514	−	9.04644i	0.732433	−	0.532144i
$290$	−6.03388	−	9.22211i	−0.354322	−	0.541541i
$291$	−7.51698	−	5.46141i	−0.440653	−	0.320153i
$292$	−4.63749	−	14.2727i	−0.271389	−	0.835249i
$293$	10.9965			0.642422			0.321211	−	0.947008i	$-0.395910\pi$
$293$	10.9965			0.642422			0.321211	+	0.947008i	$0.395910\pi$
$294$	−0.491708	−	1.51332i	−0.0286770	−	0.0882587i
$295$	−19.3499	−	7.35184i	−1.12659	−	0.428041i
$296$	−0.888053	+	2.73315i	−0.0516171	+	0.158861i
$297$	−7.12904	+	21.9409i	−0.413669	+	1.27314i
$298$	−2.24867	+	1.63375i	−0.130262	+	0.0946407i
$299$	−6.78652			−0.392474
$300$	7.91792	+	0.777453i	0.457141	+	0.0448863i
$301$	0.266806			0.0153784
$302$	−6.68055	+	4.85370i	−0.384422	+	0.279299i
$303$	−2.84936	+	8.76942i	−0.163691	+	0.503790i
$304$	0.125748	−	0.387012i	0.00721214	−	0.0221967i
$305$	15.7202	−	19.5492i	0.900134	−	1.11938i
$306$	−0.183494	−	0.564735i	−0.0104896	−	0.0322838i
$307$	15.6166			0.891285			0.445643	−	0.895211i	$-0.352975\pi$
$307$	15.6166			0.891285			0.445643	+	0.895211i	$0.352975\pi$
$308$	1.29186	+	3.97595i	0.0736108	+	0.226551i
$309$	3.56748	+	2.59193i	0.202947	+	0.147450i
$310$	−0.234742	−	0.0891886i	−0.0133325	−	0.00506557i
$311$	−15.1260	+	10.9897i	−0.857717	+	0.623168i	−0.927263	−	0.374411i	$-0.877845\pi$
$311$	−15.1260	+	10.9897i	−0.857717	+	0.623168i	0.0695458	+	0.997579i	$0.477845\pi$
$312$	−3.47483	−	2.52461i	−0.196724	−	0.142928i
$313$	−27.1729	−	19.7423i	−1.53590	−	1.11590i	−0.952840	−	0.303474i	$-0.901853\pi$
$313$	−27.1729	−	19.7423i	−1.53590	−	1.11590i	−0.583065	−	0.812426i	$-0.698147\pi$
$314$	−5.42167	+	3.93907i	−0.305962	+	0.222295i
$315$	−0.978426	−	0.371746i	−0.0551280	−	0.0209455i
$316$	−1.19201	−	0.866044i	−0.0670557	−	0.0487188i
$317$	−3.12461	−	9.61656i	−0.175496	−	0.540120i	0.824160	−	0.566357i	$-0.191648\pi$
$317$	−3.12461	−	9.61656i	−0.175496	−	0.540120i	−0.999656	+	0.0262369i	$0.991648\pi$
$318$	−10.4820			−0.587802
$319$	6.36707	+	19.5958i	0.356487	+	1.09716i
$320$	−1.40125	+	1.74256i	−0.0783321	+	0.0974119i
$321$	−1.95838	+	6.02726i	−0.109306	+	0.336409i
$322$	−0.776923	+	2.39112i	−0.0432962	+	0.133252i
$323$	−0.417630	+	0.303426i	−0.0232375	+	0.0168831i
$324$	−7.37665			−0.409814
$325$	13.4319	+	1.31887i	0.745069	+	0.0731576i
$326$	22.6002			1.25171
$327$	20.0007	−	14.5314i	1.10604	−	0.803586i
$328$	0.00721304	−	0.0221994i	0.000398273	−	0.00122576i
$329$	3.84626	−	11.8376i	0.212051	−	0.652627i
$330$	−13.9048	−	5.28301i	−0.765432	−	0.290820i
$331$	5.18736	+	15.9651i	0.285123	+	0.877519i	0.986362	+	0.164592i	$0.0526308\pi$
$331$	5.18736	+	15.9651i	0.285123	+	0.877519i	−0.701239	+	0.712927i	$0.747369\pi$
$332$	1.84058			0.101015
$333$	0.415683	+	1.27934i	0.0227793	+	0.0701075i
$334$	12.8197	+	9.31406i	0.701463	+	0.509643i
$335$	−18.4366	−	28.1783i	−1.00730	−	1.53955i
$336$	−1.28731	+	0.935284i	−0.0702284	+	0.0510239i
$337$	26.0398	+	18.9191i	1.41848	+	1.03059i	0.992020	+	0.126080i	$0.0402397\pi$
$337$	26.0398	+	18.9191i	1.41848	+	1.03059i	0.426460	+	0.904506i	$0.359760\pi$
$338$	4.62254	+	3.35847i	0.251433	+	0.182677i
$339$	8.99215	−	6.53318i	0.488386	−	0.354834i
$340$	2.73743	−	0.743542i	0.148458	−	0.0403242i
$341$	0.379821	+	0.275956i	0.0205684	+	0.0149439i
$342$	−0.0588605	−	0.181154i	−0.00318281	−	0.00979569i
$343$	−1.00000			−0.0539949
$344$	−0.0824474	−	0.253747i	−0.00444527	−	0.0136811i
$345$	−4.89772	−	7.48562i	−0.263684	−	0.403012i
$346$	3.49757	−	10.7644i	0.188030	−	0.578698i
$347$	10.3449	−	31.8383i	0.555342	−	1.70917i	−0.139696	−	0.990194i	$-0.544612\pi$
$347$	10.3449	−	31.8383i	0.555342	−	1.70917i	0.695038	−	0.718973i	$-0.255388\pi$
$348$	−6.34461	+	4.60963i	−0.340107	+	0.247102i
$349$	1.21064			0.0648039			0.0324019	−	0.999475i	$-0.489684\pi$
$349$	1.21064			0.0648039			0.0324019	+	0.999475i	$0.489684\pi$
$350$	2.00237	−	4.58154i	0.107031	−	0.244894i
$351$	−14.8959			−0.795082
$352$	3.38214	−	2.45727i	0.180269	−	0.130973i
$353$	−6.52207	+	20.0729i	−0.347135	+	1.06837i	0.613297	+	0.789853i	$0.289843\pi$
$353$	−6.52207	+	20.0729i	−0.347135	+	1.06837i	−0.960431	+	0.278518i	$0.910157\pi$
$354$	−4.55178	+	14.0089i	−0.241924	+	0.744566i
$355$	0.748237	−	15.2774i	0.0397123	−	0.810839i
$356$	5.15748	+	15.8731i	0.273346	+	0.841272i
$357$	2.01855			0.106833
$358$	−6.29644	−	19.3784i	−0.332777	−	1.02418i
$359$	29.2430	+	21.2463i	1.54339	+	1.12134i	0.948167	+	0.317771i	$0.102934\pi$
$359$	29.2430	+	21.2463i	1.54339	+	1.12134i	0.595218	+	0.803564i	$0.297066\pi$
$360$	−0.0512010	+	1.04541i	−0.00269853	+	0.0550981i
$361$	15.2374	−	11.0706i	0.801966	−	0.582663i
$362$	−12.9317	−	9.39543i	−0.679675	−	0.493813i
$363$	8.33798	+	6.05790i	0.437631	+	0.317957i
$364$	−2.18378	+	1.58661i	−0.114461	+	0.0831610i
$365$	21.0289	−	26.1510i	1.10070	−	1.36880i
$366$	−14.4419	−	10.4927i	−0.754890	−	0.548460i
$367$	−3.24209	−	9.97813i	−0.169236	−	0.520854i	0.830088	−	0.557633i	$-0.188290\pi$
$367$	−3.24209	−	9.97813i	−0.169236	−	0.520854i	−0.999323	+	0.0367789i	$0.988290\pi$
$368$	2.51418			0.131060
$369$	−0.00337630	−	0.0103912i	−0.000175763	−	0.000540944i
$370$	−6.20133	+	1.68441i	−0.322392	+	0.0875681i
$371$	−2.03565	+	6.26507i	−0.105685	+	0.325266i
$372$	−0.0552197	+	0.169949i	−0.00286301	+	0.00881143i
$373$	−24.8032	+	18.0206i	−1.28426	+	0.933071i	−0.999673	−	0.0255790i	$-0.991857\pi$
$373$	−24.8032	+	18.0206i	−1.28426	+	0.933071i	−0.284589	+	0.958650i	$0.591857\pi$
$374$	−5.30334			−0.274229
$375$	8.23887	+	15.7674i	0.425453	+	0.814225i
$376$	−12.4468			−0.641893
$377$	−10.7630	+	7.81975i	−0.554321	+	0.402738i
$378$	−1.70528	+	5.24832i	−0.0877103	+	0.269945i
$379$	3.45180	−	10.6236i	0.177307	−	0.545695i	−0.822424	−	0.568875i	$-0.807379\pi$
$379$	3.45180	−	10.6236i	0.177307	−	0.545695i	0.999731	+	0.0231794i	$0.00737888\pi$
$380$	0.878104	−	0.238511i	0.0450458	−	0.0122354i
$381$	4.98766	+	15.3505i	0.255526	+	0.786428i
$382$	10.9500			0.560253
$383$	−0.505454	−	1.55563i	−0.0258275	−	0.0794889i	0.937312	−	0.348491i	$-0.113306\pi$
$383$	−0.505454	−	1.55563i	−0.0258275	−	0.0794889i	−0.963139	+	0.269003i	$0.913306\pi$
$384$	1.28731	+	0.935284i	0.0656926	+	0.0477285i
$385$	−5.85800	+	7.28486i	−0.298551	+	0.371271i
$386$	11.1567	−	8.10584i	0.567863	−	0.412577i
$387$	−0.101036	−	0.0734069i	−0.00513595	−	0.00373148i
$388$	4.72410	+	3.43226i	0.239830	+	0.174246i
$389$	0.915887	−	0.665431i	0.0464373	−	0.0337387i	−0.564324	−	0.825553i	$-0.690863\pi$
$389$	0.915887	−	0.665431i	0.0464373	−	0.0337387i	0.610762	+	0.791814i	$0.290863\pi$
$390$	0.469820	−	9.59270i	0.0237902	−	0.485745i
$391$	−2.58029	−	1.87469i	−0.130491	−	0.0948071i
$392$	0.309017	+	0.951057i	0.0156077	+	0.0480356i
$393$	−19.1007			−0.963502
$394$	−6.04365	−	18.6004i	−0.304475	−	0.937076i
$395$	0.161167	−	3.29068i	0.00810920	−	0.165572i
$396$	0.604700	−	1.86108i	0.0303873	−	0.0935226i
$397$	−4.45573	+	13.7133i	−0.223627	+	0.688253i	0.774801	+	0.632205i	$0.217850\pi$
$397$	−4.45573	+	13.7133i	−0.223627	+	0.688253i	−0.998428	+	0.0560477i	$0.982150\pi$
$398$	−18.4337	+	13.3929i	−0.923999	+	0.671325i
$399$	0.647505			0.0324158
$400$	−4.97607	−	0.488596i	−0.248804	−	0.0244298i
$401$	26.8335			1.34000			0.670001	−	0.742360i	$-0.266294\pi$
$401$	26.8335			1.34000			0.670001	+	0.742360i	$0.266294\pi$
$402$	−19.3861	+	14.0848i	−0.966889	+	0.702486i
$403$	−0.0936743	+	0.288300i	−0.00466625	+	0.0143612i
$404$	1.79070	−	5.51120i	0.0890905	−	0.274192i
$405$	−9.03094	−	13.8028i	−0.448751	−	0.685866i
$406$	1.52302	+	4.68737i	0.0755861	+	0.232630i
$407$	12.0141			0.595517
$408$	−0.623767	−	1.91976i	−0.0308811	−	0.0950421i
$409$	−19.5519	−	14.2053i	−0.966781	−	0.702407i	−0.0120651	−	0.999927i	$-0.503841\pi$
$409$	−19.5519	−	14.2053i	−0.966781	−	0.702407i	−0.954716	+	0.297520i	$0.903841\pi$
$410$	0.0503690	−	0.0136813i	0.00248755	−	0.000675669i
$411$	27.1684	−	19.7390i	1.34012	−	0.973653i
$412$	−2.24201	−	1.62891i	−0.110456	−	0.0802508i
$413$	7.48913	+	5.44117i	0.368516	+	0.267743i
$414$	0.952087	−	0.691732i	0.0467925	−	0.0339968i
$415$	2.25335	+	3.44399i	0.110613	+	0.169059i
$416$	2.18378	+	1.58661i	0.107069	+	0.0777899i
$417$	−5.14617	−	15.8383i	−0.252009	−	0.775604i
$418$	−1.70119			−0.0832079
$419$	4.26245	+	13.1185i	0.208234	+	0.640879i	0.999565	+	0.0294907i	$0.00938856\pi$
$419$	4.26245	+	13.1185i	0.208234	+	0.640879i	−0.791331	+	0.611388i	$0.790611\pi$
$420$	−3.32605	−	1.26371i	−0.162295	−	0.0616627i
$421$	−8.21636	+	25.2873i	−0.400441	+	1.23243i	0.524202	+	0.851594i	$0.324364\pi$
$421$	−8.21636	+	25.2873i	−0.400441	+	1.23243i	−0.924643	+	0.380836i	$0.875636\pi$
$422$	3.92812	−	12.0895i	0.191218	−	0.588508i
$423$	−4.71343	+	3.42451i	−0.229175	+	0.166505i
$424$	6.58749			0.319917
$425$	4.74260	+	4.21184i	0.230050	+	0.204304i
$426$	−10.8845			−0.527356
$427$	−9.07611	+	6.59418i	−0.439224	+	0.319115i
$428$	1.23075	−	3.78787i	0.0594908	−	0.183094i
$429$	−5.54872	+	17.0772i	−0.267895	+	0.824495i
$430$	0.373861	−	0.464924i	0.0180292	−	0.0224206i
$431$	7.94887	+	24.4641i	0.382884	+	1.17839i	0.938004	+	0.346624i	$0.112672\pi$
$431$	7.94887	+	24.4641i	0.382884	+	1.17839i	−0.555121	+	0.831770i	$0.687328\pi$
$432$	5.51841			0.265505
$433$	0.149540	+	0.460237i	0.00718644	+	0.0221176i	0.954585	−	0.297937i	$-0.0962986\pi$
$433$	0.149540	+	0.460237i	0.00718644	+	0.0221176i	−0.947399	+	0.320055i	$0.896299\pi$
$434$	0.0908541	+	0.0660093i	0.00436113	+	0.00316855i
$435$	−16.3927	−	6.22830i	−0.785972	−	0.298624i
$436$	−12.5696	+	9.13233i	−0.601973	+	0.437359i
$437$	−0.827697	−	0.601357i	−0.0395941	−	0.0287668i
$438$	−19.3189	−	14.0360i	−0.923095	−	0.670668i
$439$	−9.10109	+	6.61233i	−0.434371	+	0.315589i	−0.783394	−	0.621525i	$-0.786513\pi$
$439$	−9.10109	+	6.61233i	−0.434371	+	0.315589i	0.349023	+	0.937114i	$0.386513\pi$
$440$	8.73854	+	3.32014i	0.416593	+	0.158282i
$441$	0.378688	+	0.275133i	0.0180327	+	0.0131016i
$442$	−1.05815	−	3.25666i	−0.0503313	−	0.154904i
$443$	33.3398			1.58402			0.792011	−	0.610507i	$-0.209034\pi$
$443$	33.3398			1.58402			0.792011	+	0.610507i	$0.209034\pi$
$444$	1.41307	+	4.34898i	0.0670613	+	0.206394i
$445$	−23.3868	+	29.0832i	−1.10864	+	1.37868i
$446$	2.49340	−	7.67389i	0.118066	−	0.363369i
$447$	−1.36670	+	4.20628i	−0.0646429	+	0.198950i
$448$	0.809017	−	0.587785i	0.0382225	−	0.0277702i
$449$	−38.6368			−1.82338			−0.911691	−	0.410875i	$-0.865223\pi$
$449$	−38.6368			−1.82338			−0.911691	+	0.410875i	$0.865223\pi$
$450$	−2.01880	+	1.18405i	−0.0951674	+	0.0558168i
$451$	−0.0975821			−0.00459496
$452$	−5.65118	+	4.10582i	−0.265809	+	0.193121i
$453$	−4.06033	+	12.4964i	−0.190771	+	0.587133i
$454$	2.39794	−	7.38011i	0.112541	−	0.346366i
$455$	−5.64230	−	2.14375i	−0.264515	−	0.100500i
$456$	−0.200090	−	0.615814i	−0.00937007	−	0.0288381i
$457$	16.2889			0.761960			0.380980	−	0.924583i	$-0.375587\pi$
$457$	16.2889			0.761960			0.380980	+	0.924583i	$0.375587\pi$
$458$	3.46516	+	10.6647i	0.161916	+	0.498327i
$459$	−5.66353	−	4.11479i	−0.264351	−	0.192062i
$460$	3.07801	+	4.70439i	0.143513	+	0.219343i
$461$	−22.0443	+	16.0161i	−1.02670	+	0.745945i	−0.967646	−	0.252310i	$-0.918810\pi$
$461$	−22.0443	+	16.0161i	−1.02670	+	0.745945i	−0.0590581	+	0.998255i	$0.518810\pi$
$462$	5.38167	+	3.91001i	0.250378	+	0.181910i
$463$	0.0400890	+	0.0291264i	0.00186309	+	0.00135362i	0.588716	−	0.808340i	$-0.299633\pi$
$463$	0.0400890	+	0.0291264i	0.00186309	+	0.00135362i	−0.586853	+	0.809693i	$0.699633\pi$
$464$	3.98731	−	2.89695i	0.185106	−	0.134488i
$465$	−0.385602	+	0.104737i	−0.0178819	+	0.00485708i
$466$	22.2140	+	16.1394i	1.02904	+	0.747643i
$467$	−6.57395	−	20.2325i	−0.304206	−	0.936250i	−0.979972	−	0.199134i	$-0.936187\pi$
$467$	−6.57395	−	20.2325i	−0.304206	−	0.936250i	0.675766	−	0.737116i	$-0.263813\pi$
$468$	1.26350			0.0584053
$469$	4.65361	+	14.3223i	0.214884	+	0.661344i
$470$	−15.2381	−	23.2897i	−0.702880	−	1.07427i
$471$	−3.29520	+	10.1416i	−0.151835	+	0.467300i
$472$	2.86059	−	8.80400i	0.131670	−	0.405237i
$473$	−0.902374	+	0.655613i	−0.0414912	+	0.0301451i
$474$	−2.34448			−0.107685
$475$	1.52132	+	1.35106i	0.0698028	+	0.0619910i
$476$	−1.26857			−0.0581449
$477$	2.49460	−	1.81243i	0.114220	−	0.0829856i
$478$	−7.46334	+	22.9698i	−0.341365	+	1.05061i
$479$	4.87161	−	14.9933i	0.222590	−	0.685061i	−0.775938	−	0.630810i	$-0.782723\pi$
$479$	4.87161	−	14.9933i	0.222590	−	0.685061i	0.998527	−	0.0542511i	$-0.0172772\pi$
$480$	−0.174052	+	3.55377i	−0.00794436	+	0.162207i
$481$	2.39712	+	7.37759i	0.109299	+	0.336389i
$482$	15.8609			0.722443
$483$	1.23624	+	3.80475i	0.0562508	+	0.173122i
$484$	−5.24006	−	3.80713i	−0.238185	−	0.173051i
$485$	−0.638728	+	13.0414i	−0.0290031	+	0.592182i
$486$	3.89746	−	2.83167i	0.176792	−	0.128447i
$487$	9.07544	+	6.59370i	0.411248	+	0.298789i	0.774107	−	0.633055i	$-0.218199\pi$
$487$	9.07544	+	6.59370i	0.411248	+	0.298789i	−0.362859	+	0.931844i	$0.618199\pi$
$488$	9.07611	+	6.59418i	0.410856	+	0.298505i
$489$	29.0935	−	21.1376i	1.31565	−	0.955877i
$490$	−1.40125	+	1.74256i	−0.0633019	+	0.0787207i
$491$	22.0313	+	16.0067i	0.994259	+	0.722372i	0.960850	−	0.277070i	$-0.0893634\pi$
$491$	22.0313	+	16.0067i	0.994259	+	0.722372i	0.0334097	+	0.999442i	$0.489363\pi$
$492$	−0.0114774	−	0.0353238i	−0.000517440	−	0.00159252i
$493$	−6.25227			−0.281588
$494$	−0.339432	−	1.04466i	−0.0152717	−	0.0470016i
$495$	4.22265	−	1.14696i	0.189794	−	0.0515520i
$496$	0.0347032	−	0.106805i	0.00155822	−	0.00479570i
$497$	−2.11381	+	6.50565i	−0.0948174	+	0.291818i
$498$	2.36939	−	1.72146i	0.106175	−	0.0771406i
$499$	−25.7922			−1.15462			−0.577308	−	0.816527i	$-0.695897\pi$
$499$	−25.7922			−1.15462			−0.577308	+	0.816527i	$0.695897\pi$
$500$	−5.17777	−	9.90912i	−0.231557	−	0.443149i
$501$	25.2142			1.12649
$502$	7.19653	−	5.22859i	0.321197	−	0.233363i
$503$	7.09223	−	21.8276i	0.316227	−	0.973246i	−0.659020	−	0.752126i	$-0.729029\pi$
$503$	7.09223	−	21.8276i	0.316227	−	0.973246i	0.975246	−	0.221121i	$-0.0709714\pi$
$504$	0.144646	−	0.445174i	0.00644304	−	0.0198296i
$505$	12.5045	−	3.39649i	0.556445	−	0.151142i
$506$	−3.24797	−	9.99623i	−0.144390	−	0.444387i
$507$	9.09175			0.403779
$508$	−3.13453	−	9.64709i	−0.139072	−	0.428021i
$509$	−10.5429	−	7.65988i	−0.467307	−	0.339518i	0.329084	−	0.944301i	$-0.393260\pi$
$509$	−10.5429	−	7.65988i	−0.467307	−	0.339518i	−0.796391	+	0.604782i	$0.793260\pi$
$510$	2.82849	−	3.51744i	0.125248	−	0.155755i
$511$	−12.1411	+	8.82104i	−0.537091	+	0.390220i
$512$	−0.809017	−	0.587785i	−0.0357538	−	0.0259767i
$513$	−1.81673	−	1.31993i	−0.0802106	−	0.0582764i
$514$	6.74813	−	4.90281i	0.297647	−	0.216254i
$515$	0.303134	−	6.18933i	0.0133577	−	0.272735i
$516$	−0.343461	−	0.249539i	−0.0151200	−	0.0109853i
$517$	16.0795	+	49.4877i	0.707177	+	2.17647i
$518$	2.87380			0.126268
$519$	−5.56533	−	17.1283i	−0.244291	−	0.751849i
$520$	−0.295261	+	6.02860i	−0.0129481	+	0.264371i
$521$	−1.03673	+	3.19073i	−0.0454200	+	0.139788i	−0.971195	−	0.238287i	$-0.923414\pi$
$521$	−1.03673	+	3.19073i	−0.0454200	+	0.139788i	0.925775	+	0.378076i	$0.123414\pi$
$522$	0.712900	−	2.19408i	0.0312028	−	0.0960323i
$523$	24.1093	−	17.5164i	1.05423	−	0.765941i	0.0812154	−	0.996697i	$-0.474120\pi$
$523$	24.1093	−	17.5164i	1.05423	−	0.765941i	0.973012	+	0.230756i	$0.0741198\pi$
$524$	12.0040			0.524395
$525$	−1.70737	−	7.77064i	−0.0745157	−	0.339138i
$526$	14.3116			0.624014
$527$	−0.115255	+	0.0837376i	−0.00502058	+	0.00364767i
$528$	2.05561	−	6.32653i	0.0894591	−	0.275327i
$529$	−5.15407	+	15.8626i	−0.224090	+	0.689678i
$530$	8.06480	+	12.3261i	0.350313	+	0.535414i
$531$	−1.33900	−	4.12101i	−0.0581075	−	0.178837i
$532$	−0.406929			−0.0176426
$533$	−0.0194702	−	0.0599230i	−0.000843347	−	0.00259555i
$534$	21.4851	+	15.6098i	0.929752	+	0.675504i
$535$	8.59443	−	2.33442i	0.371569	−	0.100926i
$536$	12.1833	−	8.85169i	0.526238	−	0.382335i
$537$	−26.2298	−	19.0571i	−1.13190	−	0.822373i
$538$	−6.80284	−	4.94256i	−0.293291	−	0.213089i
$539$	3.38214	−	2.45727i	0.145679	−	0.105842i
$540$	6.75598	+	10.3258i	0.290731	+	0.444350i
$541$	22.2038	+	16.1320i	0.954618	+	0.693571i	0.951895	−	0.306426i	$-0.0991331\pi$
$541$	22.2038	+	16.1320i	0.954618	+	0.693571i	0.00272345	+	0.999996i	$0.499133\pi$
$542$	7.53170	+	23.1802i	0.323514	+	0.995675i
$543$	−25.4345			−1.09150
$544$	0.392010	+	1.20648i	0.0168073	+	0.0517276i
$545$	−32.4763	−	12.3391i	−1.39113	−	0.528551i
$546$	−1.32727	+	4.08491i	−0.0568018	+	0.174818i
$547$	−1.32920	+	4.09086i	−0.0568326	+	0.174913i	−0.975443	−	0.220251i	$-0.929312\pi$
$547$	−1.32920	+	4.09086i	−0.0568326	+	0.174913i	0.918611	+	0.395164i	$0.129312\pi$
$548$	−17.0742	+	12.4051i	−0.729372	+	0.529920i
$549$	5.25128			0.224119
$550$	4.48577	+	20.4158i	0.191274	+	0.870532i
$551$	−2.00558			−0.0854408
$552$	3.23652	−	2.35147i	0.137755	−	0.100085i
$553$	−0.455306	+	1.40129i	−0.0193616	+	0.0595889i
$554$	−2.07483	+	6.38566i	−0.0881509	+	0.271301i
$555$	−6.40761	+	7.96835i	−0.271988	+	0.338238i
$556$	3.23415	+	9.95368i	0.137158	+	0.422130i
$557$	20.8947			0.885338			0.442669	−	0.896685i	$-0.354032\pi$
$557$	20.8947			0.885338			0.442669	+	0.896685i	$0.354032\pi$
$558$	−0.0162440	−	0.0499938i	−0.000687663	−	0.00211641i
$559$	−0.582645	−	0.423316i	−0.0246433	−	0.0179044i
$560$	2.09028	+	0.794186i	0.0883304	+	0.0335605i
$561$	−6.82703	+	4.96013i	−0.288237	+	0.209417i
$562$	2.98734	+	2.17043i	0.126013	+	0.0915541i
$563$	19.5704	+	14.2187i	0.824794	+	0.599248i	0.918082	−	0.396391i	$-0.129738\pi$
$563$	19.5704	+	14.2187i	0.824794	+	0.599248i	−0.0932877	+	0.995639i	$0.529738\pi$
$564$	−16.0228	+	11.6413i	−0.674682	+	0.490185i
$565$	−14.6011	−	5.54758i	−0.614273	−	0.233388i
$566$	−21.1429	−	15.3612i	−0.888704	−	0.645681i
$567$	2.27951	+	7.01561i	0.0957304	+	0.294628i
$568$	6.84044			0.287019
$569$	8.20827	+	25.2625i	0.344109	+	1.05906i	0.962059	+	0.272841i	$0.0879632\pi$
$569$	8.20827	+	25.2625i	0.344109	+	1.05906i	−0.617950	+	0.786217i	$0.712037\pi$
$570$	0.907315	−	1.12831i	0.0380032	−	0.0472599i
$571$	1.93265	−	5.94807i	0.0808787	−	0.248919i	−0.902438	−	0.430819i	$-0.858225\pi$
$571$	1.93265	−	5.94807i	0.0808787	−	0.248919i	0.983317	+	0.181900i	$0.0582247\pi$
$572$	3.48713	−	10.7323i	0.145804	−	0.448739i
$573$	14.0961	−	10.2414i	0.588872	−	0.427841i
$574$	−0.0233419			−0.000974271
$575$	−5.03432	+	11.5188i	−0.209945	+	0.480367i
$576$	−0.468084			−0.0195035
$577$	32.1581	−	23.3642i	1.33876	−	0.972666i	0.339272	−	0.940688i	$-0.389819\pi$
$577$	32.1581	−	23.3642i	1.33876	−	0.972666i	0.999489	−	0.0319776i	$-0.0101805\pi$
$578$	−4.75600	+	14.6374i	−0.197823	+	0.608838i
$579$	6.78089	−	20.8694i	0.281804	−	0.867304i
$580$	10.3021	+	3.91422i	0.427773	+	0.162529i
$581$	−0.568770	−	1.75050i	−0.0235966	−	0.0726228i
$582$	9.29150			0.385145
$583$	−8.51014	−	26.1915i	−0.352454	−	1.08474i
$584$	12.1411	+	8.82104i	0.502403	+	0.365017i
$585$	1.54685	+	2.36419i	0.0639545	+	0.0977473i
$586$	−8.89635	+	6.46358i	−0.367505	+	0.267008i
$587$	−16.2608	−	11.8141i	−0.671153	−	0.487621i	0.199258	−	0.979947i	$-0.436147\pi$
$587$	−16.2608	−	11.8141i	−0.671153	−	0.487621i	−0.870411	+	0.492326i	$0.836147\pi$
$588$	1.28731	+	0.935284i	0.0530877	+	0.0385704i
$589$	−0.0369711	+	0.0268611i	−0.00152337	+	0.00110679i
$590$	19.9757	−	5.42581i	0.822386	−	0.223377i
$591$	−25.1767	−	18.2920i	−1.03563	−	0.752430i
$592$	−0.888053	−	2.73315i	−0.0364988	−	0.112332i
$593$	−18.6775			−0.766994			−0.383497	−	0.923542i	$-0.625280\pi$
$593$	−18.6775			−0.766994			−0.383497	+	0.923542i	$0.625280\pi$
$594$	−7.12904	−	21.9409i	−0.292508	−	0.900247i
$595$	−1.55306	−	2.37368i	−0.0636694	−	0.0973115i
$596$	0.858914	−	2.64347i	0.0351825	−	0.108281i
$597$	−11.2037	+	34.4815i	−0.458538	+	1.41124i
$598$	5.49041	−	3.98902i	0.224519	−	0.163123i
$599$	−5.64834			−0.230785			−0.115393	−	0.993320i	$-0.536813\pi$
$599$	−5.64834			−0.230785			−0.115393	+	0.993320i	$0.536813\pi$
$600$	−6.86271	+	4.02506i	−0.280169	+	0.164323i
$601$	−7.68013			−0.313279			−0.156640	−	0.987656i	$-0.550066\pi$
$601$	−7.68013			−0.313279			−0.156640	+	0.987656i	$0.550066\pi$
$602$	−0.215850	+	0.156824i	−0.00879740	+	0.00639168i
$603$	2.17828	−	6.70405i	0.0887063	−	0.273010i
$604$	2.55174	−	7.85346i	0.103829	−	0.319553i
$605$	0.708490	−	14.4658i	0.0288042	−	0.588120i
$606$	−2.84936	−	8.76942i	−0.115747	−	0.356233i
$607$	29.0416			1.17876			0.589381	−	0.807856i	$-0.299372\pi$
$607$	29.0416			1.17876			0.589381	+	0.807856i	$0.299372\pi$
$608$	0.125748	+	0.387012i	0.00509975	+	0.0156954i
$609$	6.34461	+	4.60963i	0.257097	+	0.186792i
$610$	−1.22715	+	25.0557i	−0.0496858	+	1.01448i
$611$	−27.1810	+	19.7482i	−1.09963	+	0.798925i
$612$	0.480393	+	0.349026i	0.0194187	+	0.0141085i
$613$	−2.85490	−	2.07420i	−0.115308	−	0.0837763i	0.528637	−	0.848848i	$-0.322703\pi$
$613$	−2.85490	−	2.07420i	−0.115308	−	0.0837763i	−0.643945	+	0.765072i	$0.722703\pi$
$614$	−12.6341	+	9.17919i	−0.509870	+	0.370442i
$615$	0.0520446	−	0.0647213i	0.00209864	−	0.00260982i
$616$	−3.38214	−	2.45727i	−0.136270	−	0.0990063i
$617$	−3.70712	−	11.4093i	−0.149243	−	0.459323i	0.848289	−	0.529533i	$-0.177633\pi$
$617$	−3.70712	−	11.4093i	−0.149243	−	0.459323i	−0.997532	+	0.0702104i	$0.977633\pi$
$618$	−4.40965			−0.177382
$619$	2.04112	+	6.28193i	0.0820396	+	0.252492i	0.983660	−	0.180036i	$-0.0576215\pi$
$619$	2.04112	+	6.28193i	0.0820396	+	0.252492i	−0.901620	+	0.432528i	$0.857622\pi$
$620$	0.242334	−	0.0658229i	0.00973237	−	0.00264351i
$621$	4.28738	−	13.1952i	0.172047	−	0.529505i
$622$	5.77762	−	17.7817i	0.231661	−	0.712981i
$623$	13.5025	−	9.81011i	0.540965	−	0.393034i
$624$	4.29513			0.171943
$625$	12.2025	−	21.8197i	0.488099	−	0.872788i
$626$	33.5876			1.34243
$627$	−2.18995	+	1.59109i	−0.0874583	+	0.0635422i
$628$	2.07089	−	6.37355i	0.0826376	−	0.254332i
$629$	−1.12656	+	3.46719i	−0.0449189	+	0.138246i
$630$	1.01007	−	0.274356i	0.0402421	−	0.0109306i
$631$	2.11624	+	6.51313i	0.0842464	+	0.259284i	0.984302	−	0.176491i	$-0.0564746\pi$
$631$	2.11624	+	6.51313i	0.0842464	+	0.259284i	−0.900056	+	0.435774i	$0.856475\pi$
$632$	1.47340			0.0586088
$633$	−6.25042	−	19.2368i	−0.248432	−	0.764595i
$634$	8.18034	+	5.94336i	0.324883	+	0.236041i
$635$	14.2136	−	17.6757i	0.564051	−	0.701440i
$636$	8.48012	−	6.16117i	0.336259	−	0.244306i
$637$	2.18378	+	1.58661i	0.0865246	+	0.0628638i
$638$	−16.6692	−	12.1109i	−0.659940	−	0.479474i
$639$	2.59039	−	1.88203i	0.102474	−	0.0744519i
$640$	0.109384	−	2.23339i	0.00432379	−	0.0882825i
$641$	24.3460	+	17.6884i	0.961610	+	0.698651i	0.953524	−	0.301316i	$-0.0974260\pi$
$641$	24.3460	+	17.6884i	0.961610	+	0.698651i	0.00808624	+	0.999967i	$0.497426\pi$
$642$	−1.95838	−	6.02726i	−0.0772909	−	0.237877i
$643$	19.8284			0.781954			0.390977	−	0.920400i	$-0.372137\pi$
$643$	19.8284			0.781954			0.390977	+	0.920400i	$0.372137\pi$
$644$	−0.776923	−	2.39112i	−0.0306150	−	0.0942234i
$645$	0.0464381	−	0.948166i	0.00182850	−	0.0373340i
$646$	0.159520	−	0.490953i	0.00627624	−	0.0193163i
$647$	−7.41949	+	22.8348i	−0.291690	+	0.897730i	0.692623	+	0.721300i	$0.256455\pi$
$647$	−7.41949	+	22.8348i	−0.291690	+	0.897730i	−0.984313	+	0.176430i	$0.943545\pi$
$648$	5.96783	−	4.33588i	0.234439	−	0.170330i
$649$	−38.6998			−1.51910
$650$	−11.6419	+	6.82810i	−0.456631	+	0.267820i
$651$	0.178695			0.00700359
$652$	−18.2840	+	13.2841i	−0.716056	+	0.520245i
$653$	−5.16155	+	15.8856i	−0.201987	+	0.621652i	0.797837	+	0.602874i	$0.205978\pi$
$653$	−5.16155	+	15.8856i	−0.201987	+	0.621652i	−0.999824	+	0.0187784i	$0.994022\pi$
$654$	−7.63959	+	23.5122i	−0.298731	+	0.919401i
$655$	14.6960	+	22.4611i	0.574219	+	0.877630i
$656$	0.00721304	+	0.0221994i	0.000281622	+	0.000866743i
$657$	7.02465			0.274058
$658$	3.84626	+	11.8376i	0.149943	+	0.461477i
$659$	−30.4014	−	22.0879i	−1.18427	−	0.860423i	−0.191623	−	0.981469i	$-0.561375\pi$
$659$	−30.4014	−	22.0879i	−1.18427	−	0.860423i	−0.992647	+	0.121046i	$0.961375\pi$
$660$	14.3545	−	3.89897i	0.558747	−	0.151767i
$661$	−25.6578	+	18.6414i	−0.997971	+	0.725068i	−0.961652	−	0.274272i	$-0.911563\pi$
$661$	−25.6578	+	18.6414i	−0.997971	+	0.725068i	−0.0363187	+	0.999340i	$0.511563\pi$
$662$	−13.5807	−	9.86695i	−0.527828	−	0.383490i
$663$	−4.40808	−	3.20265i	−0.171195	−	0.124381i
$664$	−1.48906	+	1.08187i	−0.0577867	+	0.0419845i
$665$	−0.498187	−	0.761423i	−0.0193189	−	0.0295267i
$666$	−1.08827	−	0.790676i	−0.0421697	−	0.0306381i
$667$	−3.82913	−	11.7849i	−0.148265	−	0.456312i
$668$	−15.8460			−0.613101
$669$	−3.96749	−	12.2107i	−0.153392	−	0.472093i
$670$	31.4783	+	11.9600i	1.21611	+	0.462054i
$671$	14.4930	−	44.6049i	0.559497	−	1.72195i
$672$	0.491708	−	1.51332i	0.0189680	−	0.0583776i
$673$	−8.33635	+	6.05671i	−0.321343	+	0.233469i	−0.736748	−	0.676167i	$-0.763640\pi$
$673$	−8.33635	+	6.05671i	−0.321343	+	0.233469i	0.415405	+	0.909636i	$0.363640\pi$
$674$	−32.1870			−1.23980
$675$	−11.0499	+	25.2828i	−0.425312	+	0.973137i
$676$	−5.71377			−0.219760
$677$	−22.7944	+	16.5611i	−0.876059	+	0.636494i	−0.932206	−	0.361929i	$-0.882118\pi$
$677$	−22.7944	+	16.5611i	−0.876059	+	0.636494i	0.0561472	+	0.998422i	$0.482118\pi$
$678$	−3.43470	+	10.5709i	−0.131909	+	0.405973i
$679$	1.80444	−	5.55351i	0.0692482	−	0.213124i
$680$	−1.77758	+	2.21056i	−0.0681672	+	0.0847711i
$681$	−3.81561	−	11.7432i	−0.146214	−	0.450002i
$682$	−0.469484			−0.0179775
$683$	−2.48111	−	7.63606i	−0.0949369	−	0.292186i	0.892300	−	0.451442i	$-0.149090\pi$
$683$	−2.48111	−	7.63606i	−0.0949369	−	0.292186i	−0.987237	+	0.159256i	$0.949090\pi$
$684$	0.154099	+	0.111959i	0.00589212	+	0.00428087i
$685$	−44.1150	−	16.7612i	−1.68555	−	0.640411i
$686$	0.809017	−	0.587785i	0.0308884	−	0.0224417i
$687$	14.4352	+	10.4878i	0.550738	+	0.400135i
$688$	0.215850	+	0.156824i	0.00822921	+	0.00597887i
$689$	14.3856	−	10.4518i	0.548049	−	0.398181i
$690$	8.36228	+	3.17719i	0.318346	+	0.120953i
$691$	−22.6946	−	16.4886i	−0.863344	−	0.627256i	0.0654486	−	0.997856i	$-0.479152\pi$
$691$	−22.6946	−	16.4886i	−0.863344	−	0.627256i	−0.928793	+	0.370600i	$0.879152\pi$
$692$	3.49757	+	10.7644i	0.132957	+	0.409201i
$693$	−1.95685			−0.0743346
$694$	10.3449	+	31.8383i	0.392686	+	1.20856i
$695$	−14.6653	+	18.2375i	−0.556288	+	0.691786i
$696$	2.42343	−	7.45854i	0.0918597	−	0.282715i
$697$	0.00915026	−	0.0281616i	0.000346591	−	0.00106670i
$698$	−0.979425	+	0.711594i	−0.0370718	+	0.0269342i
$699$	43.6911			1.65255
$700$	1.07301	+	4.88351i	0.0405559	+	0.184579i
$701$	−31.3724			−1.18492			−0.592460	−	0.805600i	$-0.701843\pi$
$701$	−31.3724			−1.18492			−0.592460	+	0.805600i	$0.701843\pi$
$702$	12.0510	−	8.75557i	0.454836	−	0.330458i
$703$	−0.361374	+	1.11220i	−0.0136295	+	0.0419473i
$704$	−1.29186	+	3.97595i	−0.0486889	+	0.149849i
$705$	−41.3986	−	15.7291i	−1.55916	−	0.592392i
$706$	−6.52207	−	20.0729i	−0.245461	−	0.755452i
$707$	−5.79482			−0.217937
$708$	−4.55178	−	14.0089i	−0.171066	−	0.526488i
$709$	−0.521146	−	0.378635i	−0.0195720	−	0.0142199i	0.577956	−	0.816068i	$-0.303850\pi$
$709$	−0.521146	−	0.378635i	−0.0195720	−	0.0142199i	−0.597528	+	0.801848i	$0.703850\pi$
$710$	8.37448	+	12.7995i	0.314289	+	0.480355i
$711$	0.557959	−	0.405381i	0.0209251	−	0.0152030i
$712$	−13.5025	−	9.81011i	−0.506026	−	0.367650i
$713$	−0.228423	−	0.165959i	−0.00855451	−	0.00621522i
$714$	−1.63304	+	1.18647i	−0.0611151	+	0.0444027i
$715$	24.3508	−	6.61418i	0.910669	−	0.247356i
$716$	16.4843	+	11.9765i	0.616047	+	0.447584i
$717$	11.8757	+	36.5496i	0.443505	+	1.36497i
$718$	−36.1463			−1.34897
$719$	14.4234	+	44.3906i	0.537901	+	1.65549i	0.737295	+	0.675570i	$0.236103\pi$
$719$	14.4234	+	44.3906i	0.537901	+	1.65549i	−0.199394	+	0.979919i	$0.563897\pi$
$720$	−0.573056	−	0.875853i	−0.0213565	−	0.0326411i
$721$	−0.856370	+	2.63564i	−0.0318929	+	0.0981562i
$722$	−5.82015	+	17.9126i	−0.216604	+	0.666637i
$723$	20.4178	−	14.8344i	0.759347	−	0.551698i
$724$	15.9845			0.594058
$725$	5.28842	+	24.0688i	0.196407	+	0.893893i
$726$	−10.3063			−0.382503
$727$	−22.1636	+	16.1028i	−0.822002	+	0.597219i	−0.917285	−	0.398231i	$-0.869624\pi$
$727$	−22.1636	+	16.1028i	−0.822002	+	0.597219i	0.0952833	+	0.995450i	$0.469624\pi$
$728$	0.834130	−	2.56719i	0.0309149	−	0.0951463i
$729$	9.20734	−	28.3373i	0.341013	−	1.04953i
$730$	−1.64156	+	33.5171i	−0.0607568	+	1.24052i
$731$	−0.104591	−	0.321897i	−0.00386842	−	0.0119058i
$732$	17.8512			0.659798
$733$	6.74179	+	20.7491i	0.249014	+	0.766385i	0.994950	+	0.100368i	$0.0320021\pi$
$733$	6.74179	+	20.7491i	0.249014	+	0.766385i	−0.745937	+	0.666017i	$0.767998\pi$
$734$	8.48790	+	6.16682i	0.313294	+	0.227622i
$735$	−0.174052	+	3.55377i	−0.00642001	+	0.131083i
$736$	−2.03401	+	1.47780i	−0.0749746	+	0.0544722i
$737$	−50.9330	−	37.0050i	−1.87614	−	1.36310i
$738$	0.00883928	+	0.00642211i	0.000325378	+	0.000236401i
$739$	−20.9768	+	15.2406i	−0.771645	+	0.560633i	−0.902460	−	0.430774i	$-0.858241\pi$
$739$	−20.9768	+	15.2406i	−0.771645	+	0.560633i	0.130815	+	0.991407i	$0.458241\pi$
$740$	4.02691	−	5.00776i	0.148032	−	0.184089i
$741$	−1.41401	−	1.02734i	−0.0519449	−	0.0377402i
$742$	−2.03565	−	6.26507i	−0.0747309	−	0.229998i
$743$	44.2847			1.62465			0.812324	−	0.583206i	$-0.198202\pi$
$743$	44.2847			1.62465			0.812324	+	0.583206i	$0.198202\pi$
$744$	−0.0552197	−	0.169949i	−0.00202445	−	0.00623062i
$745$	5.99785	−	1.62914i	0.219744	−	0.0596870i
$746$	9.47398	−	29.1579i	0.346867	−	1.06755i
$747$	−0.266232	+	0.819378i	−0.00974092	+	0.0299795i
$748$	4.29049	−	3.11723i	0.156876	−	0.113977i
$749$	−3.98281			−0.145529
$750$	−15.9332	−	7.91340i	−0.581799	−	0.288957i
$751$	−4.11368			−0.150110			−0.0750552	−	0.997179i	$-0.523913\pi$
$751$	−4.11368			−0.150110			−0.0750552	+	0.997179i	$0.523913\pi$
$752$	10.0696	−	7.31602i	0.367202	−	0.266788i
$753$	4.37394	−	13.4616i	0.159395	−	0.490568i
$754$	4.11109	−	12.6526i	0.149717	−	0.460781i
$755$	17.8190	−	4.84000i	0.648498	−	0.176145i
$756$	−1.70528	−	5.24832i	−0.0620206	−	0.190880i
$757$	−15.0935			−0.548583			−0.274291	−	0.961647i	$-0.588443\pi$
$757$	−15.0935			−0.548583			−0.274291	+	0.961647i	$0.588443\pi$
$758$	3.45180	+	10.6236i	0.125375	+	0.385865i
$759$	−13.5304	−	9.83045i	−0.491124	−	0.356823i
$760$	−0.570208	+	0.709096i	−0.0206836	+	0.0257216i
$761$	−10.7633	+	7.81996i	−0.390168	+	0.283473i	−0.765524	−	0.643407i	$-0.777520\pi$
$761$	−10.7633	+	7.81996i	−0.390168	+	0.283473i	0.375357	+	0.926881i	$0.377520\pi$
$762$	−13.0579	−	9.48710i	−0.473037	−	0.343681i
$763$	12.5696	+	9.13233i	0.455049	+	0.330612i
$764$	−8.85877	+	6.43628i	−0.320499	+	0.232856i
$765$	−0.0649522	+	1.32618i	−0.00234835	+	0.0479482i
$766$	1.32330	+	0.961431i	0.0478126	+	0.0347379i
$767$	−7.72161	−	23.7647i	−0.278811	−	0.858092i
$768$	−1.59120			−0.0574175
$769$	−11.0264	−	33.9356i	−0.397621	−	1.22375i	−0.926902	−	0.375304i	$-0.877538\pi$
$769$	−11.0264	−	33.9356i	−0.397621	−	1.22375i	0.529281	−	0.848447i	$-0.322462\pi$
$770$	0.457287	−	9.33682i	0.0164795	−	0.336476i
$771$	4.10141	−	12.6228i	0.147709	−	0.454600i
$772$	−4.26149	+	13.1155i	−0.153375	+	0.472038i
$773$	20.6774	−	15.0230i	0.743715	−	0.540340i	−0.150157	−	0.988662i	$-0.547978\pi$
$773$	20.6774	−	15.0230i	0.743715	−	0.540340i	0.893872	+	0.448322i	$0.147978\pi$
$774$	0.124887			0.00448898
$775$	0.419844	+	0.372858i	0.0150813	+	0.0133935i
$776$	−5.83930			−0.209619
$777$	3.69947	−	2.68782i	0.132718	−	0.0964250i
$778$	−0.349838	+	1.07669i	−0.0125423	+	0.0386012i
$779$	0.00293519	−	0.00903359i	0.000105164	−	0.000323662i
$780$	5.25836	+	8.03681i	0.188279	+	0.287764i
$781$	−8.83692	−	27.1972i	−0.316210	−	0.973194i
$782$	3.18941			0.114053
$783$	−8.40464	−	25.8668i	−0.300357	−	0.924405i
$784$	−0.809017	−	0.587785i	−0.0288935	−	0.0209923i
$785$	14.4612	−	3.92795i	0.516141	−	0.140194i
$786$	15.4528	−	11.2271i	0.551182	−	0.400457i
$787$	−26.0743	−	18.9441i	−0.929447	−	0.675283i	0.0164105	−	0.999865i	$-0.494776\pi$
$787$	−26.0743	−	18.9441i	−0.929447	−	0.675283i	−0.945857	+	0.324583i	$0.894776\pi$
$788$	15.8225	+	11.4957i	0.563652	+	0.409517i
$789$	18.4234	−	13.3854i	0.655890	−	0.476532i
$790$	1.80383	+	2.75695i	0.0641773	+	0.0980879i
$791$	5.65118	+	4.10582i	0.200933	+	0.145986i
$792$	0.604700	+	1.86108i	0.0214871	+	0.0661305i
$793$	30.2826			1.07537
$794$	−4.45573	−	13.7133i	−0.158128	−	0.486668i
$795$	21.9103	+	8.32467i	0.777079	+	0.295246i
$796$	7.04106	−	21.6701i	0.249564	−	0.768078i
$797$	−2.17155	+	6.68335i	−0.0769203	+	0.236736i	−0.982122	−	0.188246i	$-0.939720\pi$
$797$	−2.17155	+	6.68335i	−0.0769203	+	0.236736i	0.905202	+	0.424982i	$0.139720\pi$
$798$	−0.523842	+	0.380594i	−0.0185438	+	0.0134729i
$799$	−15.7896			−0.558597
$800$	4.31291	−	2.52958i	0.152485	−	0.0894341i
$801$	−7.81230			−0.276034
$802$	−21.7088	+	15.7723i	−0.766563	+	0.556941i
$803$	19.3873	−	59.6680i	0.684164	−	2.10564i
$804$	7.40482	−	22.7897i	0.261148	−	0.803730i
$805$	3.52298	−	4.38109i	0.124169	−	0.154413i
$806$	−0.0936743	−	0.288300i	−0.00329954	−	0.0101549i
$807$	−13.3800			−0.471000
$808$	1.79070	+	5.51120i	0.0629965	+	0.193883i
$809$	−24.9836	−	18.1516i	−0.878375	−	0.638177i	0.0544460	−	0.998517i	$-0.482661\pi$
$809$	−24.9836	−	18.1516i	−0.878375	−	0.638177i	−0.932821	+	0.360340i	$0.882661\pi$
$810$	15.4193	+	5.85843i	0.541777	+	0.205844i
$811$	9.12698	−	6.63114i	0.320492	−	0.232851i	−0.415894	−	0.909413i	$-0.636531\pi$
$811$	9.12698	−	6.63114i	0.320492	−	0.232851i	0.736385	+	0.676562i	$0.236531\pi$
$812$	−3.98731	−	2.89695i	−0.139927	−	0.101663i
$813$	31.3757	+	22.7958i	1.10039	+	0.799482i
$814$	−9.71961	+	7.06171i	−0.340672	+	0.247513i
$815$	−47.2408	−	17.9488i	−1.65477	−	0.628719i
$816$	1.63304	+	1.18647i	0.0571679	+	0.0415349i
$817$	−0.0335502	−	0.103257i	−0.00117377	−	0.00361251i
$818$	24.1675			0.844997
$819$	−0.390443	−	1.20166i	−0.0136432	−	0.0419894i
$820$	−0.0327078	+	0.0406746i	−0.00114220	+	0.00142042i
$821$	0.106200	−	0.326849i	0.00370639	−	0.0114071i	−0.949186	−	0.314715i	$-0.898091\pi$
$821$	0.106200	−	0.326849i	0.00370639	−	0.0114071i	0.952893	+	0.303308i	$0.0980911\pi$
$822$	−10.3774	+	31.9384i	−0.361954	+	1.11398i
$823$	−25.2123	+	18.3178i	−0.878846	+	0.638519i	−0.932946	−	0.360017i	$-0.882771\pi$
$823$	−25.2123	+	18.3178i	−0.878846	+	0.638519i	0.0540999	+	0.998536i	$0.482771\pi$
$824$	2.77127			0.0965418
$825$	24.8691	+	22.0859i	0.865832	+	0.768934i
$826$	−9.25708			−0.322095
$827$	−1.95777	+	1.42241i	−0.0680785	+	0.0494619i	−0.621304	−	0.783570i	$-0.713397\pi$
$827$	−1.95777	+	1.42241i	−0.0680785	+	0.0494619i	0.553226	+	0.833032i	$0.313397\pi$
$828$	−0.363665	+	1.11925i	−0.0126382	+	0.0388965i
$829$	14.7412	−	45.3687i	0.511983	−	1.57572i	−0.276723	−	0.960950i	$-0.589248\pi$
$829$	14.7412	−	45.3687i	0.511983	−	1.57572i	0.788706	−	0.614771i	$-0.210752\pi$
$830$	−3.84733	−	1.46176i	−0.133543	−	0.0507385i
$831$	3.30146	+	10.1609i	0.114526	+	0.352476i
$832$	−2.69930			−0.0935815
$833$	0.392010	+	1.20648i	0.0135824	+	0.0418022i
$834$	13.4729	+	9.78860i	0.466527	+	0.338952i
$835$	−19.3997	−	29.6502i	−0.671353	−	1.02609i
$836$	1.37629	−	0.999934i	0.0476000	−	0.0345834i
$837$	−0.501370	−	0.364267i	−0.0173299	−	0.0125909i
$838$	−11.1592	−	8.10766i	−0.385489	−	0.280074i
$839$	36.9044	−	26.8126i	1.27408	−	0.925673i	0.274723	−	0.961523i	$-0.411414\pi$
$839$	36.9044	−	26.8126i	1.27408	−	0.925673i	0.999357	+	0.0358502i	$0.0114139\pi$
$840$	3.43362	−	0.932642i	0.118471	−	0.0321792i
$841$	3.80966	+	2.76788i	0.131368	+	0.0954441i
$842$	−8.21636	−	25.2873i	−0.283154	−	0.871459i
$843$	5.87560			0.202366
$844$	3.92812	+	12.0895i	0.135211	+	0.416138i
$845$	−6.99514	−	10.6913i	−0.240640	−	0.367792i
$846$	1.80037	−	5.54097i	0.0618981	−	0.190503i
$847$	−2.00153	+	6.16006i	−0.0687732	+	0.211662i
$848$	−5.32939	+	3.87203i	−0.183012	+	0.132966i
$849$	−41.5846			−1.42718
$850$	−6.31250	−	0.619819i	−0.216517	−	0.0212596i
$851$	−7.22524			−0.247678
$852$	8.80575	−	6.39775i	0.301680	−	0.219183i
$853$	−5.43555	+	16.7289i	−0.186110	+	0.572787i	−0.999966	−	0.00827968i	$-0.997364\pi$
$853$	−5.43555	+	16.7289i	−0.186110	+	0.572787i	0.813856	+	0.581067i	$0.197364\pi$
$854$	3.46677	−	10.6696i	0.118630	−	0.365106i
$855$	−0.0208352	+	0.425409i	−0.000712547	+	0.0145487i
$856$	1.23075	+	3.78787i	0.0420663	+	0.129467i
$857$	−10.8376			−0.370204			−0.185102	−	0.982719i	$-0.559262\pi$
$857$	−10.8376			−0.370204			−0.185102	+	0.982719i	$0.559262\pi$
$858$	−5.54872	−	17.0772i	−0.189430	−	0.583006i
$859$	3.72979	+	2.70985i	0.127259	+	0.0924588i	0.649594	−	0.760281i	$-0.274939\pi$
$859$	3.72979	+	2.70985i	0.127259	+	0.0924588i	−0.522335	+	0.852740i	$0.674939\pi$
$860$	−0.0291843	+	0.595881i	−0.000995177	+	0.0203194i
$861$	−0.0300482	+	0.0218313i	−0.00102404	+	0.000744008i
$862$	−20.8104	−	15.1196i	−0.708805	−	0.514977i
$863$	32.6215	+	23.7009i	1.11045	+	0.806787i	0.982734	−	0.185024i	$-0.0592362\pi$
$863$	32.6215	+	23.7009i	1.11045	+	0.806787i	0.127713	+	0.991811i	$0.459236\pi$
$864$	−4.46449	+	3.24364i	−0.151885	+	0.110351i
$865$	−15.8598	+	19.7229i	−0.539250	+	0.670598i
$866$	−0.391501	−	0.284442i	−0.0133037	−	0.00966574i
$867$	7.56774	+	23.2911i	0.257014	+	0.791007i
$868$	−0.112302			−0.00381177
$869$	−1.90344	−	5.85817i	−0.0645696	−	0.198725i
$870$	16.9229	−	4.59661i	0.573741	−	0.155840i
$871$	12.5615	−	38.6603i	0.425630	−	1.30995i
$872$	4.80115	−	14.7764i	0.162587	−	0.500393i
$873$	−2.21127	+	1.60658i	−0.0748402	+	0.0543746i
$874$	1.02309			0.0346065
$875$	−7.82411	+	7.98644i	−0.264503	+	0.269991i
$876$	23.8795			0.806815
$877$	11.8281	−	8.59359i	0.399405	−	0.290185i	−0.369894	−	0.929074i	$-0.620606\pi$
$877$	11.8281	−	8.59359i	0.399405	−	0.290185i	0.769299	+	0.638889i	$0.220606\pi$
$878$	3.47631	−	10.6990i	0.117320	−	0.361073i
$879$	−5.40706	+	16.6412i	−0.182376	+	0.561294i
$880$	−9.02116	+	2.45033i	−0.304103	+	0.0826006i
$881$	−9.89451	−	30.4522i	−0.333355	−	1.02596i	−0.967527	−	0.252768i	$-0.918659\pi$
$881$	−9.89451	−	30.4522i	−0.333355	−	1.02596i	0.634172	−	0.773192i	$-0.281341\pi$
$882$	−0.468084			−0.0157612
$883$	10.7452	+	33.0704i	0.361606	+	1.11291i	0.952079	+	0.305851i	$0.0989410\pi$
$883$	10.7452	+	33.0704i	0.361606	+	1.11291i	−0.590474	+	0.807057i	$0.701059\pi$
$884$	2.77028	+	2.01273i	0.0931747	+	0.0676954i
$885$	20.6402	−	25.6676i	0.693812	−	0.862807i
$886$	−26.9725	+	19.5966i	−0.906158	+	0.658362i
$887$	4.51319	+	3.27903i	0.151538	+	0.110099i	0.660971	−	0.750412i	$-0.270145\pi$
$887$	4.51319	+	3.27903i	0.151538	+	0.110099i	−0.509433	+	0.860511i	$0.670145\pi$
$888$	−3.69947	−	2.68782i	−0.124146	−	0.0901973i
$889$	−8.20631	+	5.96223i	−0.275231	+	0.199967i
$890$	1.82562	−	37.2752i	0.0611949	−	1.24947i
$891$	−24.9489	−	18.1264i	−0.835819	−	0.607258i
$892$	2.49340	+	7.67389i	0.0834851	+	0.256941i
$893$	−5.06495			−0.169492
$894$	−1.36670	−	4.20628i	−0.0457094	−	0.140679i
$895$	−2.22878	+	45.5069i	−0.0745000	+	1.52113i
$896$	−0.309017	+	0.951057i	−0.0103235	+	0.0317726i
$897$	3.33698	−	10.2702i	0.111419	−	0.342911i
$898$	31.2578	−	22.7101i	1.04309	−	0.757847i
$899$	−0.553490			−0.0184599
$900$	0.937278	−	2.14454i	0.0312426	−	0.0714848i
$901$	8.35670			0.278402
$902$	0.0789456	−	0.0573573i	0.00262860	−	0.00190979i
$903$	−0.131190	+	0.403762i	−0.00436574	+	0.0134364i
$904$	2.15856	−	6.64336i	0.0717925	−	0.220955i
$905$	19.5692	+	29.9093i	0.650501	+	0.994218i
$906$	−4.06033	−	12.4964i	−0.134896	−	0.415166i
$907$	6.30959			0.209506			0.104753	−	0.994498i	$-0.466595\pi$
$907$	6.30959			0.209506			0.104753	+	0.994498i	$0.466595\pi$
$908$	2.39794	+	7.38011i	0.0795786	+	0.244918i
$909$	2.19443	+	1.59434i	0.0727845	+	0.0528810i
$910$	5.82478	−	1.58213i	0.193089	−	0.0524471i
$911$	−3.77207	+	2.74057i	−0.124974	+	0.0907992i	−0.648516	−	0.761201i	$-0.724610\pi$
$911$	−3.77207	+	2.74057i	−0.124974	+	0.0907992i	0.523542	+	0.852000i	$0.324610\pi$
$912$	0.523842	+	0.380594i	0.0173462	+	0.0126027i
$913$	6.22510	+	4.52280i	0.206021	+	0.149683i
$914$	−13.1780	+	9.57435i	−0.435888	+	0.316691i
$915$	21.8545	+	33.4021i	0.722487	+	1.10424i
$916$	−9.07191	−	6.59113i	−0.299744	−	0.217777i
$917$	−3.70943	−	11.4164i	−0.122496	−	0.377004i
$918$	7.00051			0.231051
$919$	−3.94545	−	12.1428i	−0.130148	−	0.400555i	0.864656	−	0.502365i	$-0.167537\pi$
$919$	−3.94545	−	12.1428i	−0.130148	−	0.400555i	−0.994804	+	0.101810i	$0.967537\pi$
$920$	−5.25533	−	1.99672i	−0.173263	−	0.0658300i
$921$	−7.67879	+	23.6329i	−0.253025	+	0.778730i
$922$	8.42017	−	25.9146i	0.277303	−	0.853452i
$923$	14.9380	−	10.8531i	0.491691	−	0.357235i
$924$	−6.65210			−0.218838
$925$	14.3002	+	1.40413i	0.470189	+	0.0461674i
$926$	−0.0495527			−0.00162840
$927$	1.04945	−	0.762467i	0.0344683	−	0.0250427i
$928$	−1.52302	+	4.68737i	−0.0499955	+	0.153870i
$929$	−15.4730	+	47.6210i	−0.507653	+	1.56239i	0.288612	+	0.957446i	$0.406806\pi$
$929$	−15.4730	+	47.6210i	−0.507653	+	1.56239i	−0.796264	+	0.604949i	$0.793194\pi$
$930$	0.250395	−	0.311385i	0.00821079	−	0.0102107i
$931$	0.125748	+	0.387012i	0.00412122	+	0.0126838i
$932$	−27.4580			−0.899416
$933$	−9.19335	−	28.2942i	−0.300977	−	0.926311i
$934$	17.2108	+	12.5044i	0.563155	+	0.409156i
$935$	11.0855	+	4.21184i	0.362533	+	0.137742i
$936$	−1.02219	+	0.742666i	−0.0334114	+	0.0242748i
$937$	32.0410	+	23.2791i	1.04673	+	0.760496i	0.971588	−	0.236677i	$-0.0760583\pi$
$937$	32.0410	+	23.2791i	1.04673	+	0.760496i	0.0751442	+	0.997173i	$0.476058\pi$
$938$	−12.1833	−	8.85169i	−0.397799	−	0.289018i
$939$	43.2375	−	31.4139i	1.41100	−	1.02515i
$940$	26.0172	+	9.88505i	0.848588	+	0.322415i
$941$	14.7955	+	10.7496i	0.482319	+	0.350426i	0.802223	−	0.597025i	$-0.203651\pi$
$941$	14.7955	+	10.7496i	0.482319	+	0.350426i	−0.319904	+	0.947450i	$0.603651\pi$
$942$	−3.29520	−	10.1416i	−0.107364	−	0.330431i
$943$	0.0586856			0.00191107
$944$	2.86059	+	8.80400i	0.0931044	+	0.286546i
$945$	7.73267	−	9.61615i	0.251544	−	0.312813i
$946$	0.344676	−	1.06080i	0.0112064	−	0.0344897i
$947$	−8.14883	+	25.0795i	−0.264802	+	0.814975i	0.726938	+	0.686704i	$0.240943\pi$
$947$	−8.14883	+	25.0795i	−0.264802	+	0.814975i	−0.991739	+	0.128272i	$0.959057\pi$
$948$	1.89672	−	1.37805i	0.0616027	−	0.0447570i
$949$	40.5091			1.31498
$950$	−2.02491	−	0.198824i	−0.0656966	−	0.00645069i
$951$	16.0893			0.521733
$952$	1.02630	−	0.745648i	0.0332625	−	0.0241666i
$953$	−12.0465	+	37.0754i	−0.390225	+	1.20099i	0.542393	+	0.840125i	$0.317518\pi$
$953$	−12.0465	+	37.0754i	−0.390225	+	1.20099i	−0.932618	+	0.360865i	$0.882482\pi$
$954$	−0.952852	+	2.93258i	−0.0308497	+	0.0949457i
$955$	−22.8887	−	8.69638i	−0.740660	−	0.281408i
$956$	−7.46334	−	22.9698i	−0.241382	−	0.742897i
$957$	−32.7855			−1.05980
$958$	4.87161	+	14.9933i	0.157395	+	0.484411i
$959$	17.0742	+	12.4051i	0.551353	+	0.400582i
$960$	−1.94804	−	2.97737i	−0.0628728	−	0.0960941i
$961$	25.0693	−	18.2139i	0.808688	−	0.587546i
$962$	−6.27575	−	4.55960i	−0.202338	−	0.147007i
$963$	1.50824	+	1.09580i	0.0486023	+	0.0353117i
$964$	−12.8317	+	9.32278i	−0.413282	+	0.300267i
$965$	−29.7582	+	8.08295i	−0.957952	+	0.260199i
$966$	−3.23652	−	2.35147i	−0.104133	−	0.0756572i
$967$	−2.50972	−	7.72412i	−0.0807071	−	0.248391i	0.902559	−	0.430566i	$-0.141686\pi$
$967$	−2.50972	−	7.72412i	−0.0807071	−	0.248391i	−0.983266	+	0.182175i	$0.941686\pi$
$968$	6.47707			0.208181
$969$	−0.253829	−	0.781204i	−0.00815415	−	0.0250959i
$970$	−7.14883	−	10.9262i	−0.229535	−	0.350819i
$971$	−9.51326	+	29.2788i	−0.305295	+	0.939601i	0.674272	+	0.738483i	$0.264458\pi$
$971$	−9.51326	+	29.2788i	−0.305295	+	0.939601i	−0.979567	+	0.201118i	$0.935542\pi$
$972$	−1.48870	+	4.58174i	−0.0477500	+	0.146959i
$973$	8.46710	−	6.15171i	0.271443	−	0.197215i
$974$	−11.2179			−0.359444
$975$	−8.60045	+	19.6783i	−0.275435	+	0.630210i
$976$	−11.2187			−0.359102
$977$	3.75857	−	2.73076i	0.120247	−	0.0873648i	−0.526036	−	0.850462i	$-0.676322\pi$
$977$	3.75857	−	2.73076i	0.120247	−	0.0873648i	0.646283	+	0.763097i	$0.276322\pi$
$978$	−11.1127	+	34.2014i	−0.355345	+	1.09364i
$979$	−21.5612	+	66.3584i	−0.689097	+	2.12082i
$980$	0.109384	−	2.23339i	0.00349415	−	0.0713431i
$981$	−2.24734	−	6.91660i	−0.0717520	−	0.220830i
$982$	−27.2322			−0.869015
$983$	−0.417466	−	1.28483i	−0.0133151	−	0.0409796i	0.944178	−	0.329435i	$-0.106858\pi$
$983$	−0.417466	−	1.28483i	−0.0133151	−	0.0409796i	−0.957493	+	0.288455i	$0.906858\pi$
$984$	0.0300482	+	0.0218313i	0.000957901	+	0.000695956i
$985$	−2.13930	+	43.6799i	−0.0681638	+	1.39176i
$986$	5.05820	−	3.67499i	0.161086	−	0.117036i
$987$	16.0228	+	11.6413i	0.510012	+	0.370545i
$988$	0.888643	+	0.645637i	0.0282715	+	0.0205405i
$989$	0.542685	−	0.394284i	0.0172564	−	0.0125375i
$990$	−2.74203	+	3.40992i	−0.0871475	+	0.108374i
$991$	−35.0693	−	25.4793i	−1.11401	−	0.809378i	−0.130722	−	0.991419i	$-0.541730\pi$
$991$	−35.0693	−	25.4793i	−1.11401	−	0.809378i	−0.983291	+	0.182041i	$0.941730\pi$
$992$	0.0347032	+	0.106805i	0.00110183	+	0.00339107i
$993$	−26.7109			−0.847645
$994$	−2.11381	−	6.50565i	−0.0670461	−	0.206347i
$995$	49.1681	−	13.3551i	1.55873	−	0.423384i
$996$	−0.905027	+	2.78539i	−0.0286769	+	0.0882584i
$997$	−11.2418	+	34.5986i	−0.356031	+	1.09575i	0.599379	+	0.800466i	$0.295414\pi$
$997$	−11.2418	+	34.5986i	−0.356031	+	1.09575i	−0.955409	+	0.295284i	$0.904586\pi$
$998$	20.8663	−	15.1602i	0.660511	−	0.479889i
$999$	−15.8588			−0.501751

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.h.c.211.1	yes	16
25.4	even	10		8750.2.a.s.1.7		8
25.16	even	5	inner	350.2.h.c.141.1	✓	16
25.21	even	5		8750.2.a.u.1.2		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.h.c.141.1	✓	16	25.16	even	5	inner
350.2.h.c.211.1	yes	16	1.1	even	1	trivial
8750.2.a.s.1.7		8	25.4	even	10
8750.2.a.u.1.2		8	25.21	even	5

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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.809017 + 0.587785i) q^{2} +(-0.491708 + 1.51332i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.15788 - 0.586125i) q^{5} +(-0.491708 - 1.51332i) q^{6} -1.00000 q^{7} +(0.309017 + 0.951057i) q^{8} +(0.378688 + 0.275133i) q^{9} +O(q^{10})\)	\(q+(-0.809017 + 0.587785i) q^{2} +(-0.491708 + 1.51332i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.15788 - 0.586125i) q^{5} +(-0.491708 - 1.51332i) q^{6} -1.00000 q^{7} +(0.309017 + 0.951057i) q^{8} +(0.378688 + 0.275133i) q^{9} +(-1.40125 + 1.74256i) q^{10} +(3.38214 - 2.45727i) q^{11} +(1.28731 + 0.935284i) q^{12} +(2.18378 + 1.58661i) q^{13} +(0.809017 - 0.587785i) q^{14} +(-0.174052 + 3.55377i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(0.392010 + 1.20648i) q^{17} -0.468084 q^{18} +(0.125748 + 0.387012i) q^{19} +(0.109384 - 2.23339i) q^{20} +(0.491708 - 1.51332i) q^{21} +(-1.29186 + 3.97595i) q^{22} +(-2.03401 + 1.47780i) q^{23} -1.59120 q^{24} +(4.31291 - 2.52958i) q^{25} -2.69930 q^{26} +(-4.46449 + 3.24364i) q^{27} +(-0.309017 + 0.951057i) q^{28} +(-1.52302 + 4.68737i) q^{29} +(-1.94804 - 2.97737i) q^{30} +(0.0347032 + 0.106805i) q^{31} +1.00000 q^{32} +(2.05561 + 6.32653i) q^{33} +(-1.02630 - 0.745648i) q^{34} +(-2.15788 + 0.586125i) q^{35} +(0.378688 - 0.275133i) q^{36} +(2.32495 + 1.68918i) q^{37} +(-0.329212 - 0.239187i) q^{38} +(-3.47483 + 2.52461i) q^{39} +(1.22426 + 1.87115i) q^{40} +(-0.0188840 - 0.0137200i) q^{41} +(0.491708 + 1.51332i) q^{42} -0.266806 q^{43} +(-1.29186 - 3.97595i) q^{44} +(0.978426 + 0.371746i) q^{45} +(0.776923 - 2.39112i) q^{46} +(-3.84626 + 11.8376i) q^{47} +(1.28731 - 0.935284i) q^{48} +1.00000 q^{49} +(-2.00237 + 4.58154i) q^{50} -2.01855 q^{51} +(2.18378 - 1.58661i) q^{52} +(2.03565 - 6.26507i) q^{53} +(1.70528 - 5.24832i) q^{54} +(5.85800 - 7.28486i) q^{55} +(-0.309017 - 0.951057i) q^{56} -0.647505 q^{57} +(-1.52302 - 4.68737i) q^{58} +(-7.48913 - 5.44117i) q^{59} +(3.32605 + 1.26371i) q^{60} +(9.07611 - 6.59418i) q^{61} +(-0.0908541 - 0.0660093i) q^{62} +(-0.378688 - 0.275133i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(5.64230 + 2.14375i) q^{65} +(-5.38167 - 3.91001i) q^{66} +(-4.65361 - 14.3223i) q^{67} +1.26857 q^{68} +(-1.23624 - 3.80475i) q^{69} +(1.40125 - 1.74256i) q^{70} +(2.11381 - 6.50565i) q^{71} +(-0.144646 + 0.445174i) q^{72} +(12.1411 - 8.82104i) q^{73} -2.87380 q^{74} +(1.70737 + 7.77064i) q^{75} +0.406929 q^{76} +(-3.38214 + 2.45727i) q^{77} +(1.32727 - 4.08491i) q^{78} +(0.455306 - 1.40129i) q^{79} +(-2.09028 - 0.794186i) q^{80} +(-2.27951 - 7.01561i) q^{81} +0.0233419 q^{82} +(0.568770 + 1.75050i) q^{83} +(-1.28731 - 0.935284i) q^{84} +(1.55306 + 2.37368i) q^{85} +(0.215850 - 0.156824i) q^{86} +(-6.34461 - 4.60963i) q^{87} +(3.38214 + 2.45727i) q^{88} +(-13.5025 + 9.81011i) q^{89} +(-1.01007 + 0.274356i) q^{90} +(-2.18378 - 1.58661i) q^{91} +(0.776923 + 2.39112i) q^{92} -0.178695 q^{93} +(-3.84626 - 11.8376i) q^{94} +(0.498187 + 0.761423i) q^{95} +(-0.491708 + 1.51332i) q^{96} +(-1.80444 + 5.55351i) q^{97} +(-0.809017 + 0.587785i) q^{98} +1.95685 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 4 q^{2} + q^{3} - 4 q^{4} - 4 q^{5} + q^{6} - 16 q^{7} - 4 q^{8} - q^{9}+O(q^{10}) \) 16 * q - 4 * q^2 + q^3 - 4 * q^4 - 4 * q^5 + q^6 - 16 * q^7 - 4 * q^8 - q^9	\( 16 q - 4 q^{2} + q^{3} - 4 q^{4} - 4 q^{5} + q^{6} - 16 q^{7} - 4 q^{8} - q^{9} + q^{10} + 7 q^{11} - 4 q^{12} + 9 q^{13} + 4 q^{14} - 4 q^{16} - 2 q^{17} + 14 q^{18} - 24 q^{19} - 9 q^{20} - q^{21} - 8 q^{22} - 5 q^{23} + 6 q^{24} - 6 q^{25} - 6 q^{26} - 32 q^{27} + 4 q^{28} + 20 q^{29} + 15 q^{30} + 7 q^{31} + 16 q^{32} + 15 q^{33} + 3 q^{34} + 4 q^{35} - q^{36} - 6 q^{37} + 6 q^{38} + 34 q^{39} + 11 q^{40} + 9 q^{41} - q^{42} - 22 q^{43} - 8 q^{44} - 8 q^{45} - 40 q^{47} - 4 q^{48} + 16 q^{49} - q^{50} + 14 q^{51} + 9 q^{52} - 24 q^{53} + 23 q^{54} - 26 q^{55} + 4 q^{56} + 52 q^{57} + 20 q^{58} - 17 q^{59} - 5 q^{60} + 2 q^{61} - 23 q^{62} + q^{63} - 4 q^{64} - 16 q^{65} - 10 q^{66} - 14 q^{67} - 2 q^{68} - 35 q^{69} - q^{70} + 7 q^{71} - 6 q^{72} + 5 q^{73} - 36 q^{74} + 35 q^{75} + 36 q^{76} - 7 q^{77} - 46 q^{78} + 20 q^{79} + q^{80} + 49 q^{81} + 44 q^{82} + 17 q^{83} + 4 q^{84} - 13 q^{85} + 8 q^{86} - 66 q^{87} + 7 q^{88} + 27 q^{89} + 37 q^{90} - 9 q^{91} - 34 q^{93} - 40 q^{94} - 20 q^{95} + q^{96} + 6 q^{97} - 4 q^{98} - 16 q^{99}+O(q^{100}) \) 16 * q - 4 * q^2 + q^3 - 4 * q^4 - 4 * q^5 + q^6 - 16 * q^7 - 4 * q^8 - q^9 + q^10 + 7 * q^11 - 4 * q^12 + 9 * q^13 + 4 * q^14 - 4 * q^16 - 2 * q^17 + 14 * q^18 - 24 * q^19 - 9 * q^20 - q^21 - 8 * q^22 - 5 * q^23 + 6 * q^24 - 6 * q^25 - 6 * q^26 - 32 * q^27 + 4 * q^28 + 20 * q^29 + 15 * q^30 + 7 * q^31 + 16 * q^32 + 15 * q^33 + 3 * q^34 + 4 * q^35 - q^36 - 6 * q^37 + 6 * q^38 + 34 * q^39 + 11 * q^40 + 9 * q^41 - q^42 - 22 * q^43 - 8 * q^44 - 8 * q^45 - 40 * q^47 - 4 * q^48 + 16 * q^49 - q^50 + 14 * q^51 + 9 * q^52 - 24 * q^53 + 23 * q^54 - 26 * q^55 + 4 * q^56 + 52 * q^57 + 20 * q^58 - 17 * q^59 - 5 * q^60 + 2 * q^61 - 23 * q^62 + q^63 - 4 * q^64 - 16 * q^65 - 10 * q^66 - 14 * q^67 - 2 * q^68 - 35 * q^69 - q^70 + 7 * q^71 - 6 * q^72 + 5 * q^73 - 36 * q^74 + 35 * q^75 + 36 * q^76 - 7 * q^77 - 46 * q^78 + 20 * q^79 + q^80 + 49 * q^81 + 44 * q^82 + 17 * q^83 + 4 * q^84 - 13 * q^85 + 8 * q^86 - 66 * q^87 + 7 * q^88 + 27 * q^89 + 37 * q^90 - 9 * q^91 - 34 * q^93 - 40 * q^94 - 20 * q^95 + q^96 + 6 * q^97 - 4 * q^98 - 16 * q^99

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