LMFDB - Embedded newform 490.2.k.f.141.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [490,2,Mod(71,490)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(490, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 8]))

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

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

chi := DirichletCharacter("490.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 490 = 2 \cdot 5 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	490.k (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:	$3.91266969904$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			141.3
Character	$\chi$	$=$	490.141
Dual form			490.2.k.f.351.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.623490 + 0.781831i) q^{2} +(1.58297 + 0.762318i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.900969 - 0.433884i) q^{5} +(-1.58297 + 0.762318i) q^{6} +(-0.603900 - 2.57591i) q^{7} +(0.900969 + 0.433884i) q^{8} +(0.0541958 + 0.0679593i) q^{9} +O(q^{10})$	\(q+(-0.623490 + 0.781831i) q^{2} +(1.58297 + 0.762318i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.900969 - 0.433884i) q^{5} +(-1.58297 + 0.762318i) q^{6} +(-0.603900 - 2.57591i) q^{7} +(0.900969 + 0.433884i) q^{8} +(0.0541958 + 0.0679593i) q^{9} +(0.900969 - 0.433884i) q^{10} +(1.33079 - 1.66875i) q^{11} +(0.390961 - 1.71291i) q^{12} +(3.48267 - 4.36713i) q^{13} +(2.39045 + 1.13390i) q^{14} +(-1.09545 - 1.37365i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-0.669692 + 2.93411i) q^{17} -0.0869233 q^{18} +7.49339 q^{19} +(-0.222521 + 0.974928i) q^{20} +(1.00771 - 4.53795i) q^{21} +(0.474952 + 2.08090i) q^{22} +(0.864734 + 3.78865i) q^{23} +(1.09545 + 1.37365i) q^{24} +(0.623490 + 0.781831i) q^{25} +(1.24295 + 5.44573i) q^{26} +(-1.13890 - 4.98985i) q^{27} +(-2.37694 + 1.16195i) q^{28} +(1.02829 - 4.50524i) q^{29} +1.75696 q^{30} -6.15365 q^{31} +(0.222521 - 0.974928i) q^{32} +(3.37872 - 1.62710i) q^{33} +(-1.87644 - 2.35298i) q^{34} +(-0.573550 + 2.58284i) q^{35} +(0.0541958 - 0.0679593i) q^{36} +(-0.664398 + 2.91092i) q^{37} +(-4.67205 + 5.85857i) q^{38} +(8.84211 - 4.25814i) q^{39} +(-0.623490 - 0.781831i) q^{40} +(-2.73116 - 1.31526i) q^{41} +(2.91962 + 3.61722i) q^{42} +(2.78994 - 1.34356i) q^{43} +(-1.92304 - 0.926088i) q^{44} +(-0.0193422 - 0.0847439i) q^{45} +(-3.50124 - 1.68611i) q^{46} +(-5.22092 + 6.54683i) q^{47} -1.75696 q^{48} +(-6.27061 + 3.11118i) q^{49} -1.00000 q^{50} +(-3.29683 + 4.13409i) q^{51} +(-5.03261 - 2.42358i) q^{52} +(1.09236 + 4.78592i) q^{53} +(4.61131 + 2.22069i) q^{54} +(-1.92304 + 0.926088i) q^{55} +(0.573550 - 2.58284i) q^{56} +(11.8618 + 5.71235i) q^{57} +(2.88121 + 3.61292i) q^{58} +(5.07355 - 2.44329i) q^{59} +(-1.09545 + 1.37365i) q^{60} +(1.93418 - 8.47419i) q^{61} +(3.83674 - 4.81112i) q^{62} +(0.142328 - 0.180644i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-5.03261 + 2.42358i) q^{65} +(-0.834474 + 3.65607i) q^{66} +7.88661 q^{67} +3.00957 q^{68} +(-1.51931 + 6.65652i) q^{69} +(-1.66174 - 2.05879i) q^{70} +(-2.05306 - 8.99505i) q^{71} +(0.0193422 + 0.0847439i) q^{72} +(4.24215 + 5.31949i) q^{73} +(-1.86160 - 2.33438i) q^{74} +(0.390961 + 1.71291i) q^{75} +(-1.66744 - 7.30551i) q^{76} +(-5.10222 - 2.42022i) q^{77} +(-2.18382 + 9.56795i) q^{78} -6.42908 q^{79} +1.00000 q^{80} +(2.05903 - 9.02122i) q^{81} +(2.73116 - 1.31526i) q^{82} +(4.37466 + 5.48565i) q^{83} +(-4.64841 + 0.0273477i) q^{84} +(1.87644 - 2.35298i) q^{85} +(-0.689057 + 3.01896i) q^{86} +(5.06218 - 6.34777i) q^{87} +(1.92304 - 0.926088i) q^{88} +(10.4260 + 13.0738i) q^{89} +(0.0783151 + 0.0377146i) q^{90} +(-13.3525 - 6.33374i) q^{91} +(3.50124 - 1.68611i) q^{92} +(-9.74105 - 4.69104i) q^{93} +(-1.86332 - 8.16376i) q^{94} +(-6.75131 - 3.25126i) q^{95} +(1.09545 - 1.37365i) q^{96} -7.97512 q^{97} +(1.47724 - 6.84235i) q^{98} +0.185530 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 4 q^{2} + 6 q^{3} - 4 q^{4} - 4 q^{5} - 6 q^{6} + 4 q^{8} + 2 q^{9}+O(q^{10}) $ 24 * q + 4 * q^2 + 6 * q^3 - 4 * q^4 - 4 * q^5 - 6 * q^6 + 4 * q^8 + 2 * q^9	\( 24 q + 4 q^{2} + 6 q^{3} - 4 q^{4} - 4 q^{5} - 6 q^{6} + 4 q^{8} + 2 q^{9} + 4 q^{10} - q^{11} - q^{12} + 15 q^{13} + 7 q^{14} - q^{15} - 4 q^{16} - 9 q^{17} - 16 q^{18} + 20 q^{19} - 4 q^{20} + 15 q^{22} - 19 q^{23} + q^{24} - 4 q^{25} - q^{26} - 18 q^{27} + 7 q^{28} - 27 q^{29} + 8 q^{30} + 28 q^{31} + 4 q^{32} - 21 q^{33} + 9 q^{34} + 2 q^{36} + q^{37} + 8 q^{38} + 11 q^{39} + 4 q^{40} - 23 q^{41} - 35 q^{42} - 18 q^{43} + 6 q^{44} - 5 q^{45} - 16 q^{46} - 46 q^{47} - 8 q^{48} - 14 q^{49} - 24 q^{50} + 11 q^{51} - 13 q^{52} + 22 q^{53} - 17 q^{54} + 6 q^{55} + 62 q^{57} - 22 q^{58} + 23 q^{59} - q^{60} - 20 q^{61} + 28 q^{62} - 35 q^{63} - 4 q^{64} - 13 q^{65} + 14 q^{66} + 16 q^{67} + 12 q^{68} + 2 q^{69} + 5 q^{71} + 5 q^{72} + 39 q^{73} - q^{74} - q^{75} - 15 q^{76} - 21 q^{77} - 39 q^{78} + 44 q^{79} + 24 q^{80} - q^{81} + 23 q^{82} - q^{83} - 9 q^{85} - 3 q^{86} + 67 q^{87} - 6 q^{88} - 21 q^{89} + 5 q^{90} - 14 q^{91} + 16 q^{92} + 16 q^{93} - 10 q^{94} + 13 q^{95} + q^{96} - 36 q^{97} - 14 q^{98} + 110 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 6 * q^3 - 4 * q^4 - 4 * q^5 - 6 * q^6 + 4 * q^8 + 2 * q^9 + 4 * q^10 - q^11 - q^12 + 15 * q^13 + 7 * q^14 - q^15 - 4 * q^16 - 9 * q^17 - 16 * q^18 + 20 * q^19 - 4 * q^20 + 15 * q^22 - 19 * q^23 + q^24 - 4 * q^25 - q^26 - 18 * q^27 + 7 * q^28 - 27 * q^29 + 8 * q^30 + 28 * q^31 + 4 * q^32 - 21 * q^33 + 9 * q^34 + 2 * q^36 + q^37 + 8 * q^38 + 11 * q^39 + 4 * q^40 - 23 * q^41 - 35 * q^42 - 18 * q^43 + 6 * q^44 - 5 * q^45 - 16 * q^46 - 46 * q^47 - 8 * q^48 - 14 * q^49 - 24 * q^50 + 11 * q^51 - 13 * q^52 + 22 * q^53 - 17 * q^54 + 6 * q^55 + 62 * q^57 - 22 * q^58 + 23 * q^59 - q^60 - 20 * q^61 + 28 * q^62 - 35 * q^63 - 4 * q^64 - 13 * q^65 + 14 * q^66 + 16 * q^67 + 12 * q^68 + 2 * q^69 + 5 * q^71 + 5 * q^72 + 39 * q^73 - q^74 - q^75 - 15 * q^76 - 21 * q^77 - 39 * q^78 + 44 * q^79 + 24 * q^80 - q^81 + 23 * q^82 - q^83 - 9 * q^85 - 3 * q^86 + 67 * q^87 - 6 * q^88 - 21 * q^89 + 5 * q^90 - 14 * q^91 + 16 * q^92 + 16 * q^93 - 10 * q^94 + 13 * q^95 + q^96 - 36 * q^97 - 14 * q^98 + 110 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/490\mathbb{Z}\right)^\times$.

$n$	$101$	$197$
$\chi(n)$	$e\left(\frac{1}{7}\right)$	$1$

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 $

$2$	−0.623490	+	0.781831i	−0.440874	+	0.552838i
$2$	−0.623490	+	0.781831i	−0.440874	+	0.552838i
$3$	1.58297	+	0.762318i	0.913928	+	0.440125i	0.830899	−	0.556423i	$-0.187826\pi$
$3$	1.58297	+	0.762318i	0.913928	+	0.440125i	0.0830287	+	0.996547i	$0.473541\pi$
$4$	−0.222521	−	0.974928i	−0.111260	−	0.487464i
$5$	−0.900969	−	0.433884i	−0.402926	−	0.194039i
$5$	−0.900969	−	0.433884i	−0.402926	−	0.194039i
$6$	−1.58297	+	0.762318i	−0.646245	+	0.311215i
$7$	−0.603900	−	2.57591i	−0.228253	−	0.973602i
$7$	−0.603900	−	2.57591i	−0.228253	−	0.973602i
$8$	0.900969	+	0.433884i	0.318541	+	0.153401i
$9$	0.0541958	+	0.0679593i	0.0180653	+	0.0226531i
$10$	0.900969	−	0.433884i	0.284911	−	0.137206i
$11$	1.33079	−	1.66875i	0.401247	−	0.503148i	−0.539627	−	0.841904i	$-0.681435\pi$
$11$	1.33079	−	1.66875i	0.401247	−	0.503148i	0.940874	+	0.338756i	$0.110006\pi$
$12$	0.390961	−	1.71291i	0.112861	−	0.494476i
$13$	3.48267	−	4.36713i	0.965920	−	1.21123i	−0.0115033	−	0.999934i	$-0.503662\pi$
$13$	3.48267	−	4.36713i	0.965920	−	1.21123i	0.977423	−	0.211291i	$-0.0677669\pi$
$14$	2.39045	+	1.13390i	0.638875	+	0.303049i
$15$	−1.09545	−	1.37365i	−0.282844	−	0.354675i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	−0.669692	+	2.93411i	−0.162424	+	0.711627i	0.826467	+	0.562985i	$0.190347\pi$
$17$	−0.669692	+	2.93411i	−0.162424	+	0.711627i	−0.988891	+	0.148642i	$0.952510\pi$
$18$	−0.0869233			−0.0204880
$19$	7.49339			1.71910			0.859551	−	0.511050i	$-0.170743\pi$
$19$	7.49339			1.71910			0.859551	+	0.511050i	$0.170743\pi$
$20$	−0.222521	+	0.974928i	−0.0497572	+	0.218001i
$21$	1.00771	−	4.53795i	0.219900	−	0.990262i
$22$	0.474952	+	2.08090i	0.101260	+	0.443650i
$23$	0.864734	+	3.78865i	0.180310	+	0.789988i	0.981482	+	0.191554i	$0.0613528\pi$
$23$	0.864734	+	3.78865i	0.180310	+	0.789988i	−0.801173	+	0.598433i	$0.795790\pi$
$24$	1.09545	+	1.37365i	0.223608	+	0.280395i
$25$	0.623490	+	0.781831i	0.124698	+	0.156366i
$26$	1.24295	+	5.44573i	0.243763	+	1.06800i
$27$	−1.13890	−	4.98985i	−0.219181	−	0.960297i
$28$	−2.37694	+	1.16195i	−0.449200	+	0.219588i
$29$	1.02829	−	4.50524i	0.190949	−	0.836602i	−0.785155	−	0.619299i	$-0.787417\pi$
$29$	1.02829	−	4.50524i	0.190949	−	0.836602i	0.976104	−	0.217303i	$-0.0697259\pi$
$30$	1.75696			0.320776
$31$	−6.15365			−1.10523			−0.552614	−	0.833437i	$-0.686370\pi$
$31$	−6.15365			−1.10523			−0.552614	+	0.833437i	$0.686370\pi$
$32$	0.222521	−	0.974928i	0.0393365	−	0.172345i
$33$	3.37872	−	1.62710i	0.588159	−	0.283242i
$34$	−1.87644	−	2.35298i	−0.321806	−	0.403532i
$35$	−0.573550	+	2.58284i	−0.0969476	+	0.436579i
$36$	0.0541958	−	0.0679593i	0.00903263	−	0.0113266i
$37$	−0.664398	+	2.91092i	−0.109226	+	0.478552i	0.890496	+	0.454991i	$0.150358\pi$
$37$	−0.664398	+	2.91092i	−0.109226	+	0.478552i	−0.999722	+	0.0235610i	$0.992500\pi$
$38$	−4.67205	+	5.85857i	−0.757907	+	0.950385i
$39$	8.84211	−	4.25814i	1.41587	−	0.681848i
$40$	−0.623490	−	0.781831i	−0.0985824	−	0.123618i
$41$	−2.73116	−	1.31526i	−0.426536	−	0.205409i	0.208285	−	0.978068i	$-0.433212\pi$
$41$	−2.73116	−	1.31526i	−0.426536	−	0.205409i	−0.634821	+	0.772659i	$0.718926\pi$
$42$	2.91962	+	3.61722i	0.450507	+	0.558150i
$43$	2.78994	−	1.34356i	0.425461	−	0.204891i	−0.208885	−	0.977940i	$-0.566984\pi$
$43$	2.78994	−	1.34356i	0.425461	−	0.204891i	0.634347	+	0.773049i	$0.281269\pi$
$44$	−1.92304	−	0.926088i	−0.289909	−	0.139613i
$45$	−0.0193422	−	0.0847439i	−0.00288337	−	0.0126329i
$46$	−3.50124	−	1.68611i	−0.516229	−	0.248603i
$47$	−5.22092	+	6.54683i	−0.761549	+	0.954953i	−0.999868	−	0.0162342i	$-0.994832\pi$
$47$	−5.22092	+	6.54683i	−0.761549	+	0.954953i	0.238319	+	0.971187i	$0.423404\pi$
$48$	−1.75696			−0.253596
$49$	−6.27061	+	3.11118i	−0.895801	+	0.444455i
$50$	−1.00000			−0.141421
$51$	−3.29683	+	4.13409i	−0.461649	+	0.578889i
$52$	−5.03261	−	2.42358i	−0.697897	−	0.336090i
$53$	1.09236	+	4.78592i	0.150047	+	0.657397i	0.992870	+	0.119206i	$0.0380349\pi$
$53$	1.09236	+	4.78592i	0.150047	+	0.657397i	−0.842823	+	0.538191i	$0.819108\pi$
$54$	4.61131	+	2.22069i	0.627520	+	0.302198i
$55$	−1.92304	+	0.926088i	−0.259303	+	0.124874i
$56$	0.573550	−	2.58284i	0.0766438	−	0.345146i
$57$	11.8618	+	5.71235i	1.57114	+	0.756619i
$58$	2.88121	+	3.61292i	0.378321	+	0.474400i
$59$	5.07355	−	2.44329i	0.660520	−	0.318090i	−0.0734230	−	0.997301i	$-0.523392\pi$
$59$	5.07355	−	2.44329i	0.660520	−	0.318090i	0.733943	+	0.679211i	$0.237678\pi$
$60$	−1.09545	+	1.37365i	−0.141422	+	0.177337i
$61$	1.93418	−	8.47419i	0.247646	−	1.08501i	−0.686222	−	0.727392i	$-0.740732\pi$
$61$	1.93418	−	8.47419i	0.247646	−	1.08501i	0.933868	−	0.357617i	$-0.116411\pi$
$62$	3.83674	−	4.81112i	0.487266	−	0.611013i
$63$	0.142328	−	0.180644i	0.0179317	−	0.0227590i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	−5.03261	+	2.42358i	−0.624218	+	0.300608i
$66$	−0.834474	+	3.65607i	−0.102717	+	0.450031i
$67$	7.88661			0.963503			0.481752	−	0.876308i	$-0.340001\pi$
$67$	7.88661			0.963503			0.481752	+	0.876308i	$0.340001\pi$
$68$	3.00957			0.364964
$69$	−1.51931	+	6.65652i	−0.182903	+	0.801351i
$70$	−1.66174	−	2.05879i	−0.198616	−	0.246073i
$71$	−2.05306	−	8.99505i	−0.243654	−	1.06752i	−0.937662	−	0.347549i	$-0.887014\pi$
$71$	−2.05306	−	8.99505i	−0.243654	−	1.06752i	0.694008	−	0.719967i	$-0.255843\pi$
$72$	0.0193422	+	0.0847439i	0.00227951	+	0.00998717i
$73$	4.24215	+	5.31949i	0.496506	+	0.622599i	0.965437	−	0.260635i	$-0.0839321\pi$
$73$	4.24215	+	5.31949i	0.496506	+	0.622599i	−0.468931	+	0.883235i	$0.655361\pi$
$74$	−1.86160	−	2.33438i	−0.216407	−	0.271366i
$75$	0.390961	+	1.71291i	0.0451443	+	0.197790i
$76$	−1.66744	−	7.30551i	−0.191268	−	0.838000i
$77$	−5.10222	−	2.42022i	−0.581452	−	0.275810i
$78$	−2.18382	+	9.56795i	−0.247269	+	1.08336i
$79$	−6.42908			−0.723328			−0.361664	−	0.932308i	$-0.617791\pi$
$79$	−6.42908			−0.723328			−0.361664	+	0.932308i	$0.617791\pi$
$80$	1.00000			0.111803
$81$	2.05903	−	9.02122i	0.228782	−	1.00236i
$82$	2.73116	−	1.31526i	0.301606	−	0.145246i
$83$	4.37466	+	5.48565i	0.480181	+	0.602129i	0.961631	−	0.274345i	$-0.0884611\pi$
$83$	4.37466	+	5.48565i	0.480181	+	0.602129i	−0.481450	+	0.876474i	$0.659890\pi$
$84$	−4.64841	+	0.0273477i	−0.507183	+	0.00298388i
$85$	1.87644	−	2.35298i	0.203528	−	0.255216i
$86$	−0.689057	+	3.01896i	−0.0743029	+	0.325542i
$87$	5.06218	−	6.34777i	0.542723	−	0.680553i
$88$	1.92304	−	0.926088i	0.204997	−	0.0987213i
$89$	10.4260	+	13.0738i	1.10515	+	1.38582i	0.914706	+	0.404119i	$0.132422\pi$
$89$	10.4260	+	13.0738i	1.10515	+	1.38582i	0.190446	+	0.981698i	$0.439007\pi$
$90$	0.0783151	+	0.0377146i	0.00825514	+	0.00397547i
$91$	−13.3525	−	6.33374i	−1.39972	−	0.663956i
$92$	3.50124	−	1.68611i	0.365029	−	0.175789i
$93$	−9.74105	−	4.69104i	−1.01010	−	0.486438i
$94$	−1.86332	−	8.16376i	−0.192187	−	0.842027i
$95$	−6.75131	−	3.25126i	−0.692670	−	0.333572i
$96$	1.09545	−	1.37365i	0.111804	−	0.140198i
$97$	−7.97512			−0.809750			−0.404875	−	0.914372i	$-0.632685\pi$
$97$	−7.97512			−0.809750			−0.404875	+	0.914372i	$0.632685\pi$
$98$	1.47724	−	6.84235i	0.149224	−	0.691182i
$99$	0.185530			0.0186465
$100$	0.623490	−	0.781831i	0.0623490	−	0.0781831i
$101$	−3.99490	−	1.92384i	−0.397507	−	0.191429i	0.224441	−	0.974488i	$-0.427944\pi$
$101$	−3.99490	−	1.92384i	−0.397507	−	0.191429i	−0.621948	+	0.783058i	$0.713659\pi$
$102$	−1.17663	−	5.15513i	−0.116503	−	0.510434i
$103$	−4.14304	−	1.99518i	−0.408226	−	0.196591i	0.218490	−	0.975839i	$-0.429887\pi$
$103$	−4.14304	−	1.99518i	−0.408226	−	0.196591i	−0.626716	+	0.779248i	$0.715601\pi$
$104$	5.03261	−	2.42358i	0.493488	−	0.237651i
$105$	−2.87685	+	3.65132i	−0.280752	+	0.356333i
$106$	−4.42286	−	2.12994i	−0.429586	−	0.206878i
$107$	7.43865	+	9.32777i	0.719122	+	0.901750i	0.998288	−	0.0584928i	$-0.0186295\pi$
$107$	7.43865	+	9.32777i	0.719122	+	0.901750i	−0.279166	+	0.960243i	$0.590058\pi$
$108$	−4.61131	+	2.22069i	−0.443724	+	0.213686i
$109$	−4.89185	+	6.13419i	−0.468554	+	0.587549i	−0.958816	−	0.284026i	$-0.908330\pi$
$109$	−4.89185	+	6.13419i	−0.468554	+	0.587549i	0.490262	+	0.871575i	$0.336901\pi$
$110$	0.474952	−	2.08090i	0.0452849	−	0.198406i
$111$	−3.27077	+	4.10141i	−0.310448	+	0.389289i
$112$	1.66174	+	2.05879i	0.157020	+	0.194537i
$113$	2.56159	+	3.21213i	0.240974	+	0.302172i	0.887581	−	0.460651i	$-0.152384\pi$
$113$	2.56159	+	3.21213i	0.240974	+	0.302172i	−0.646607	+	0.762823i	$0.723813\pi$
$114$	−11.8618	+	5.71235i	−1.11096	+	0.535010i
$115$	0.864734	−	3.78865i	0.0806369	−	0.353293i
$116$	−4.62110			−0.429058
$117$	0.485534			0.0448876
$118$	−1.25306	+	5.49003i	−0.115354	+	0.505398i
$119$	7.96243	−	0.0468449i	0.729915	−	0.00429427i
$120$	−0.390961	−	1.71291i	−0.0356897	−	0.156367i
$121$	1.43399	+	6.28270i	0.130362	+	0.571154i
$122$	5.41945	+	6.79578i	0.490654	+	0.615261i
$123$	−3.32070	−	4.16403i	−0.299418	−	0.375458i
$124$	1.36932	+	5.99937i	0.122968	+	0.538759i
$125$	−0.222521	−	0.974928i	−0.0199029	−	0.0872002i
$126$	0.0524929	+	0.223906i	0.00467644	+	0.0199472i
$127$	2.54468	−	11.1490i	0.225804	−	0.989313i	−0.727217	−	0.686408i	$-0.759186\pi$
$127$	2.54468	−	11.1490i	0.225804	−	0.989313i	0.953021	−	0.302905i	$-0.0979564\pi$
$128$	−1.00000			−0.0883883
$129$	5.44061			0.479019
$130$	1.24295	−	5.44573i	0.109014	−	0.477622i
$131$	−17.8910	+	8.61586i	−1.56314	+	0.752771i	−0.997417	−	0.0718218i	$-0.977119\pi$
$131$	−17.8910	+	8.61586i	−1.56314	+	0.752771i	−0.565727	+	0.824593i	$0.691404\pi$
$132$	−2.33814	−	2.93194i	−0.203509	−	0.255193i
$133$	−4.52526	−	19.3023i	−0.392390	−	1.67372i
$134$	−4.91722	+	6.16600i	−0.424783	+	0.532662i
$135$	−1.13890	+	4.98985i	−0.0980209	+	0.429458i
$136$	−1.87644	+	2.35298i	−0.160903	+	0.201766i
$137$	−6.53687	+	3.14799i	−0.558482	+	0.268951i	−0.691759	−	0.722128i	$-0.743164\pi$
$137$	−6.53687	+	3.14799i	−0.558482	+	0.268951i	0.133277	+	0.991079i	$0.457450\pi$
$138$	−4.25700	−	5.33811i	−0.362380	−	0.454410i
$139$	−18.1869	−	8.75837i	−1.54260	−	0.742875i	−0.547046	−	0.837103i	$-0.684248\pi$
$139$	−18.1869	−	8.75837i	−1.54260	−	0.742875i	−0.995551	+	0.0942274i	$0.969962\pi$
$140$	2.64571	−	0.0155653i	0.223603	−	0.00131551i
$141$	−13.2553	+	6.38343i	−1.11630	+	0.537582i
$142$	8.31268	+	4.00317i	0.697584	+	0.335939i
$143$	−2.65298	−	11.6234i	−0.221853	−	0.972001i
$144$	−0.0783151	−	0.0377146i	−0.00652626	−	0.00314288i
$145$	−2.88121	+	3.61292i	−0.239271	+	0.300037i
$146$	−6.80389			−0.563094
$147$	−12.2979	+	0.144708i	−1.01431	+	0.0119353i
$148$	2.98578			0.245429
$149$	3.81503	−	4.78390i	0.312540	−	0.391913i	−0.600606	−	0.799545i	$-0.705074\pi$
$149$	3.81503	−	4.78390i	0.312540	−	0.391913i	0.913146	+	0.407632i	$0.133646\pi$
$150$	−1.58297	−	0.762318i	−0.129249	−	0.0622430i
$151$	−3.78637	−	16.5892i	−0.308131	−	1.35001i	−0.857523	−	0.514445i	$-0.827998\pi$
$151$	−3.78637	−	16.5892i	−0.308131	−	1.35001i	0.549393	−	0.835564i	$-0.314859\pi$
$152$	6.75131	+	3.25126i	0.547604	+	0.263712i
$153$	−0.235695	+	0.113505i	−0.0190548	+	0.00917631i
$154$	5.07339	−	2.48009i	0.408825	−	0.199851i
$155$	5.54425	+	2.66997i	0.445325	+	0.214457i
$156$	−6.11893	−	7.67290i	−0.489907	−	0.614324i
$157$	1.82767	−	0.880161i	0.145864	−	0.0702445i	−0.359528	−	0.933134i	$-0.617062\pi$
$157$	1.82767	−	0.880161i	0.145864	−	0.0702445i	0.505392	+	0.862890i	$0.331348\pi$
$158$	4.00847	−	5.02646i	0.318896	−	0.399884i
$159$	−1.91923	+	8.40869i	−0.152205	+	0.666853i
$160$	−0.623490	+	0.781831i	−0.0492912	+	0.0618092i
$161$	9.23700	−	4.51544i	0.727977	−	0.355867i
$162$	5.76928	+	7.23445i	0.453278	+	0.568392i
$163$	−7.91840	+	3.81330i	−0.620217	+	0.298681i	−0.717481	−	0.696578i	$-0.754705\pi$
$163$	−7.91840	+	3.81330i	−0.620217	+	0.298681i	0.0972642	+	0.995259i	$0.468991\pi$
$164$	−0.674541	+	2.95536i	−0.0526728	+	0.230775i
$165$	−3.75009			−0.291944
$166$	−7.01641			−0.544579
$167$	−4.97369	+	21.7912i	−0.384876	+	1.68625i	0.297077	+	0.954854i	$0.403988\pi$
$167$	−4.97369	+	21.7912i	−0.384876	+	1.68625i	−0.681952	+	0.731397i	$0.738869\pi$
$168$	2.87685	−	3.65132i	0.221954	−	0.281706i
$169$	−4.05008	−	17.7445i	−0.311544	−	1.36496i
$170$	0.669692	+	2.93411i	0.0513630	+	0.225036i
$171$	0.406110	+	0.509246i	0.0310560	+	0.0389430i
$172$	−1.93070	−	2.42102i	−0.147214	−	0.184601i
$173$	4.17684	+	18.2999i	0.317560	+	1.39132i	0.841819	+	0.539760i	$0.181485\pi$
$173$	4.17684	+	18.2999i	0.317560	+	1.39132i	−0.524259	+	0.851559i	$0.675658\pi$
$174$	1.80667	+	7.91554i	0.136963	+	0.600076i
$175$	1.63740	−	2.07820i	0.123776	−	0.157097i
$176$	−0.474952	+	2.08090i	−0.0358009	+	0.156854i
$177$	9.89384			0.743667
$178$	−16.7220			−1.25337
$179$	−0.998020	+	4.37261i	−0.0745955	+	0.326824i	−0.998433	−	0.0559606i	$-0.982178\pi$
$179$	−0.998020	+	4.37261i	−0.0745955	+	0.326824i	0.923837	+	0.382785i	$0.125035\pi$
$180$	−0.0783151	+	0.0377146i	−0.00583727	+	0.00281108i
$181$	16.2337	+	20.3564i	1.20664	+	1.51308i	0.800571	+	0.599237i	$0.204529\pi$
$181$	16.2337	+	20.3564i	1.20664	+	1.51308i	0.406069	+	0.913842i	$0.366899\pi$
$182$	13.2771	−	6.49040i	0.984162	−	0.481101i
$183$	9.52178	−	11.9399i	0.703870	−	0.882625i
$184$	−0.864734	+	3.78865i	−0.0637490	+	0.279303i
$185$	1.86160	−	2.33438i	0.136868	−	0.171627i
$186$	9.74105	−	4.69104i	0.714248	−	0.343964i
$187$	4.00509	+	5.02223i	0.292881	+	0.367262i
$188$	7.54445	+	3.63321i	0.550235	+	0.264979i
$189$	−12.1656	+	5.94707i	−0.884918	+	0.432586i
$190$	6.75131	−	3.25126i	0.489792	−	0.235871i
$191$	−1.85615	−	0.893873i	−0.134306	−	0.0646784i	0.365524	−	0.930802i	$-0.380890\pi$
$191$	−1.85615	−	0.893873i	−0.134306	−	0.0646784i	−0.499830	+	0.866124i	$0.666604\pi$
$192$	0.390961	+	1.71291i	0.0282152	+	0.123619i
$193$	23.2499	+	11.1966i	1.67356	+	0.805946i	0.997617	+	0.0689960i	$0.0219796\pi$
$193$	23.2499	+	11.1966i	1.67356	+	0.805946i	0.675947	+	0.736950i	$0.263735\pi$
$194$	4.97240	−	6.23520i	0.356998	−	0.447661i
$195$	−9.81401			−0.702796
$196$	4.42852	+	5.42109i	0.316323	+	0.387221i
$197$	17.7041			1.26136			0.630682	−	0.776041i	$-0.282775\pi$
$197$	17.7041			1.26136			0.630682	+	0.776041i	$0.282775\pi$
$198$	−0.115676	+	0.145053i	−0.00822076	+	0.0103085i
$199$	−16.1284	−	7.76702i	−1.14331	−	0.550590i	−0.236293	−	0.971682i	$-0.575933\pi$
$199$	−16.1284	−	7.76702i	−1.14331	−	0.550590i	−0.907018	+	0.421092i	$0.861647\pi$
$200$	0.222521	+	0.974928i	0.0157346	+	0.0689378i
$201$	12.4843	+	6.01211i	0.880573	+	0.424062i
$202$	3.99490	−	1.92384i	0.281080	−	0.135361i
$203$	−12.2261	+	0.0719289i	−0.858102	+	0.00504842i
$204$	4.76406	+	2.29425i	0.333551	+	0.160630i
$205$	1.89002	+	2.37001i	0.132005	+	0.165529i
$206$	4.14304	−	1.99518i	0.288659	−	0.139011i
$207$	−0.210609	+	0.264095i	−0.0146383	+	0.0183559i
$208$	−1.24295	+	5.44573i	−0.0861832	+	0.377593i
$209$	9.97210	−	12.5046i	0.689785	−	0.864963i
$210$	−1.06103	−	4.52578i	−0.0732181	−	0.312308i
$211$	4.24965	+	5.32889i	0.292558	+	0.366856i	0.906289	−	0.422660i	$-0.138903\pi$
$211$	4.24965	+	5.32889i	0.292558	+	0.366856i	−0.613731	+	0.789515i	$0.710332\pi$
$212$	4.42286	−	2.12994i	0.303763	−	0.146285i
$213$	3.60716	−	15.8040i	0.247158	−	1.08287i
$214$	−11.9307			−0.815564
$215$	−3.09659			−0.211186
$216$	1.13890	−	4.98985i	0.0774924	−	0.339516i
$217$	3.71619	+	15.8512i	0.252271	+	1.07605i
$218$	−1.74588	−	7.64921i	−0.118246	−	0.518070i
$219$	2.66006	+	11.6545i	0.179750	+	0.787536i
$220$	1.33079	+	1.66875i	0.0897216	+	0.112507i
$221$	10.4813	+	13.1432i	0.705052	+	0.884107i
$222$	−1.16732	−	5.11438i	−0.0783456	−	0.343255i
$223$	3.19253	+	13.9874i	0.213788	+	0.936666i	0.961966	+	0.273168i	$0.0880715\pi$
$223$	3.19253	+	13.9874i	0.213788	+	0.936666i	−0.748178	+	0.663498i	$0.769071\pi$
$224$	−2.64571	+	0.0155653i	−0.176774	+	0.00104000i
$225$	−0.0193422	+	0.0847439i	−0.00128948	+	0.00564959i
$226$	−4.10847			−0.273292
$227$	−19.1308			−1.26976			−0.634879	−	0.772612i	$-0.718950\pi$
$227$	−19.1308			−1.26976			−0.634879	+	0.772612i	$0.718950\pi$
$228$	2.92963	−	12.8355i	0.194019	−	0.850054i
$229$	19.1426	−	9.21859i	1.26498	−	0.609182i	0.323492	−	0.946231i	$-0.395143\pi$
$229$	19.1426	−	9.21859i	1.26498	−	0.609182i	0.941487	+	0.337049i	$0.109429\pi$
$230$	2.42293	+	3.03826i	0.159763	+	0.200337i
$231$	−6.23168	−	7.72066i	−0.410014	−	0.507982i
$232$	2.88121	−	3.61292i	0.189161	−	0.237200i
$233$	1.78658	−	7.82751i	0.117043	−	0.512797i	−0.882087	−	0.471086i	$-0.843862\pi$
$233$	1.78658	−	7.82751i	0.117043	−	0.512797i	0.999130	−	0.0417109i	$-0.0132809\pi$
$234$	−0.302725	+	0.379606i	−0.0197898	+	0.0248156i
$235$	7.54445	−	3.63321i	0.492145	−	0.237005i
$236$	−3.51100	−	4.40266i	−0.228547	−	0.286589i
$237$	−10.1770	−	4.90101i	−0.661070	−	0.318355i
$238$	−4.92787	+	6.25449i	−0.319426	+	0.405418i
$239$	12.7670	−	6.14824i	0.825826	−	0.397697i	0.0272780	−	0.999628i	$-0.491316\pi$
$239$	12.7670	−	6.14824i	0.825826	−	0.397697i	0.798548	+	0.601931i	$0.205602\pi$
$240$	1.58297	+	0.762318i	0.102180	+	0.0492074i
$241$	5.29351	+	23.1924i	0.340985	+	1.49395i	0.797000	+	0.603980i	$0.206419\pi$
$241$	5.29351	+	23.1924i	0.340985	+	1.49395i	−0.456015	+	0.889972i	$0.650724\pi$
$242$	−5.80609	−	2.79606i	−0.373229	−	0.179738i
$243$	0.563043	−	0.706034i	0.0361192	−	0.0452921i
$244$	−8.69212			−0.556456
$245$	6.99952	−	0.0823626i	0.447183	−	0.00526195i
$246$	5.32599			0.339573
$247$	26.0970	−	32.7246i	1.66051	−	2.08222i
$248$	−5.54425	−	2.66997i	−0.352060	−	0.169543i
$249$	2.74315	+	12.0185i	0.173840	+	0.761642i
$250$	0.900969	+	0.433884i	0.0569823	+	0.0274412i
$251$	−14.0969	+	6.78871i	−0.889789	+	0.428500i	−0.822190	−	0.569213i	$-0.807248\pi$
$251$	−14.0969	+	6.78871i	−0.889789	+	0.428500i	−0.0675985	+	0.997713i	$0.521534\pi$
$252$	−0.207786	−	0.0985627i	−0.0130893	−	0.00620887i
$253$	7.47309	+	3.59885i	0.469829	+	0.226258i
$254$	7.13005	+	8.94080i	0.447379	+	0.560995i
$255$	4.76406	−	2.29425i	0.298337	−	0.143671i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	2.62971	−	11.5215i	0.164037	−	0.718691i	−0.824268	−	0.566199i	$-0.808413\pi$
$257$	2.62971	−	11.5215i	0.164037	−	0.718691i	0.988305	−	0.152491i	$-0.0487297\pi$
$258$	−3.39216	+	4.25364i	−0.211187	+	0.264820i
$259$	7.89949	−	0.0464746i	0.490850	−	0.00288779i
$260$	3.48267	+	4.36713i	0.215986	+	0.270838i
$261$	0.361902	−	0.174283i	0.0224012	−	0.0107878i
$262$	4.41871	−	19.3597i	0.272989	−	1.19604i
$263$	19.3506			1.19321			0.596606	−	0.802535i	$-0.296516\pi$
$263$	19.3506			1.19321			0.596606	+	0.802535i	$0.296516\pi$
$264$	3.75009			0.230802
$265$	1.09236	−	4.78592i	0.0671029	−	0.293997i
$266$	17.9126	+	8.49679i	1.09829	+	0.520972i
$267$	6.53765	+	28.6433i	0.400098	+	1.75294i
$268$	−1.75494	−	7.68888i	−0.107200	−	0.469673i
$269$	−2.66311	−	3.33943i	−0.162373	−	0.203609i	0.693989	−	0.719986i	$-0.255852\pi$
$269$	−2.66311	−	3.33943i	−0.162373	−	0.203609i	−0.856361	+	0.516377i	$0.827280\pi$
$270$	−3.19113	−	4.00155i	−0.194206	−	0.243526i
$271$	2.88986	+	12.6613i	0.175547	+	0.769121i	0.983652	+	0.180082i	$0.0576363\pi$
$271$	2.88986	+	12.6613i	0.175547	+	0.769121i	−0.808105	+	0.589039i	$0.799507\pi$
$272$	−0.669692	−	2.93411i	−0.0406061	−	0.177907i
$273$	−16.3083	−	20.2050i	−0.987025	−	1.22286i
$274$	1.61447	−	7.07347i	0.0975338	−	0.427324i
$275$	2.13442			0.128710
$276$	6.82770			0.410979
$277$	1.48772	−	6.51815i	0.0893887	−	0.391638i	−0.910366	−	0.413805i	$-0.864200\pi$
$277$	1.48772	−	6.51815i	0.0893887	−	0.391638i	0.999754	+	0.0221674i	$0.00705667\pi$
$278$	18.1869	−	8.75837i	1.09078	−	0.525292i
$279$	−0.333502	−	0.418198i	−0.0199662	−	0.0250369i
$280$	−1.63740	+	2.07820i	−0.0978534	+	0.124196i
$281$	11.3880	−	14.2801i	0.679353	−	0.851882i	−0.315941	−	0.948779i	$-0.602320\pi$
$281$	11.3880	−	14.2801i	0.679353	−	0.851882i	0.995294	+	0.0968968i	$0.0308917\pi$
$282$	3.27379	−	14.3434i	0.194952	−	0.854139i
$283$	−2.99084	+	3.75039i	−0.177787	+	0.222937i	−0.862738	−	0.505652i	$-0.831252\pi$
$283$	−2.99084	+	3.75039i	−0.177787	+	0.222937i	0.684951	+	0.728589i	$0.259824\pi$
$284$	−8.31268	+	4.00317i	−0.493267	+	0.237545i
$285$	−8.20863	−	10.2933i	−0.486237	−	0.609722i
$286$	10.7417	+	5.17292i	0.635169	+	0.305881i
$287$	−1.73864	+	7.82951i	−0.102628	+	0.462161i
$288$	0.0783151	−	0.0377146i	0.00461476	−	0.00222235i
$289$	7.15594	+	3.44612i	0.420938	+	0.202713i
$290$	−1.02829	−	4.50524i	−0.0603833	−	0.264557i
$291$	−12.6244	−	6.07958i	−0.740054	−	0.356391i
$292$	4.24215	−	5.31949i	0.248253	−	0.311300i
$293$	−11.6521			−0.680724			−0.340362	−	0.940294i	$-0.610550\pi$
$293$	−11.6521			−0.680724			−0.340362	+	0.940294i	$0.610550\pi$
$294$	7.55448	−	9.70511i	0.440586	−	0.566013i
$295$	−5.63121			−0.327862
$296$	−1.86160	+	2.33438i	−0.108203	+	0.135683i
$297$	−9.84246	−	4.73988i	−0.571117	−	0.275036i
$298$	1.36157	+	5.96543i	0.0788736	+	0.345568i
$299$	19.5571	+	9.41821i	1.13102	+	0.544669i
$300$	1.58297	−	0.762318i	0.0913928	−	0.0440125i
$301$	−5.14574	−	6.37524i	−0.296595	−	0.367463i
$302$	15.3307	+	7.38289i	0.882184	+	0.424837i
$303$	−4.85722	−	6.09076i	−0.279040	−	0.349905i
$304$	−6.75131	+	3.25126i	−0.387214	+	0.186473i
$305$	−5.41945	+	6.79578i	−0.310317	+	0.389125i
$306$	0.0582118	−	0.255043i	0.00332775	−	0.0145798i
$307$	−20.2608	+	25.4062i	−1.15634	+	1.45001i	−0.285550	+	0.958364i	$0.592176\pi$
$307$	−20.2608	+	25.4062i	−1.15634	+	1.45001i	−0.870795	+	0.491647i	$0.836395\pi$
$308$	−1.22419	+	5.51284i	−0.0697549	+	0.314123i
$309$	−5.03735	−	6.31663i	−0.286565	−	0.359341i
$310$	−5.54425	+	2.66997i	−0.314892	+	0.151644i
$311$	0.566482	−	2.48192i	0.0321223	−	0.140737i	−0.956324	−	0.292309i	$-0.905576\pi$
$311$	0.566482	−	2.48192i	0.0321223	−	0.140737i	0.988446	+	0.151572i	$0.0484336\pi$
$312$	9.81401			0.555609
$313$	−16.4695			−0.930912			−0.465456	−	0.885071i	$-0.654110\pi$
$313$	−16.4695			−0.930912			−0.465456	+	0.885071i	$0.654110\pi$
$314$	−0.451398	+	1.97770i	−0.0254739	+	0.111608i
$315$	−0.206612	+	0.101001i	−0.0116413	+	0.00569074i
$316$	1.43061	+	6.26789i	0.0804778	+	0.352596i
$317$	3.03576	+	13.3005i	0.170505	+	0.747032i	0.985791	+	0.167974i	$0.0537224\pi$
$317$	3.03576	+	13.3005i	0.170505	+	0.747032i	−0.815286	+	0.579058i	$0.803420\pi$
$318$	−5.37756	−	6.74325i	−0.301559	−	0.378143i
$319$	−6.14969	−	7.71147i	−0.344317	−	0.431760i
$320$	−0.222521	−	0.974928i	−0.0124393	−	0.0545001i
$321$	4.66443	+	20.4362i	0.260343	+	1.14064i
$322$	−2.22886	+	10.0371i	−0.124210	+	0.559346i
$323$	−5.01826	+	21.9865i	−0.279224	+	1.22336i
$324$	−9.25321			−0.514067
$325$	5.58577			0.309843
$326$	1.95568	−	8.56841i	0.108315	−	0.474560i
$327$	−12.4199	+	5.98109i	−0.686820	+	0.330755i
$328$	−1.89002	−	2.37001i	−0.104359	−	0.130862i
$329$	20.0169	+	9.49498i	1.10357	+	0.523475i
$330$	2.33814	−	2.93194i	0.128711	−	0.161398i
$331$	7.27537	−	31.8755i	0.399891	−	1.75204i	−0.227931	−	0.973677i	$-0.573196\pi$
$331$	7.27537	−	31.8755i	0.399891	−	1.75204i	0.627821	−	0.778358i	$-0.283947\pi$
$332$	4.37466	−	5.48565i	0.240091	−	0.301064i
$333$	−0.233832	+	0.112607i	−0.0128139	+	0.00617085i
$334$	−13.9360	−	17.4751i	−0.762542	−	0.956198i
$335$	−7.10559	−	3.42187i	−0.388220	−	0.186957i
$336$	1.06103	+	4.52578i	0.0578840	+	0.246901i
$337$	−27.4824	+	13.2348i	−1.49706	+	0.720947i	−0.990014	−	0.140970i	$-0.954978\pi$
$337$	−27.4824	+	13.2348i	−1.49706	+	0.720947i	−0.507049	+	0.861917i	$0.669264\pi$
$338$	16.3984	+	7.89706i	0.891957	+	0.429544i
$339$	1.60625	+	7.03746i	0.0872398	+	0.382222i
$340$	−2.71153	−	1.30580i	−0.147053	−	0.0708171i
$341$	−8.18920	+	10.2689i	−0.443470	+	0.556094i
$342$	−0.651350			−0.0352210
$343$	11.8009	+	14.2737i	0.637191	+	0.770706i
$344$	3.09659			0.166957
$345$	4.25700	−	5.33811i	0.229189	−	0.287394i
$346$	−16.9117	−	8.14424i	−0.909178	−	0.437837i
$347$	2.33029	+	10.2097i	0.125097	+	0.548085i	0.998169	+	0.0604931i	$0.0192673\pi$
$347$	2.33029	+	10.2097i	0.125097	+	0.548085i	−0.873072	+	0.487592i	$0.837876\pi$
$348$	−7.31506	−	3.52275i	−0.392128	−	0.188839i
$349$	24.2728	−	11.6892i	1.29929	−	0.625706i	0.349017	−	0.937116i	$-0.386516\pi$
$349$	24.2728	−	11.6892i	1.29929	−	0.625706i	0.950276	+	0.311410i	$0.100801\pi$
$350$	0.603900	+	2.57591i	0.0322798	+	0.137688i
$351$	−25.7578	−	12.4043i	−1.37485	−	0.662092i
$352$	−1.33079	−	1.66875i	−0.0709311	−	0.0889448i
$353$	−3.09808	+	1.49196i	−0.164894	+	0.0794088i	−0.514510	−	0.857484i	$-0.672026\pi$
$353$	−3.09808	+	1.49196i	−0.164894	+	0.0794088i	0.349616	+	0.936893i	$0.386312\pi$
$354$	−6.16871	+	7.73532i	−0.327863	+	0.411127i
$355$	−2.05306	+	8.99505i	−0.108965	+	0.477408i
$356$	10.4260	−	13.0738i	0.552576	−	0.692909i
$357$	12.6400	+	5.99575i	0.668980	+	0.317329i
$358$	−2.79639	−	3.50656i	−0.147794	−	0.185328i
$359$	−26.0081	+	12.5248i	−1.37265	+	0.661035i	−0.967420	−	0.253178i	$-0.918524\pi$
$359$	−26.0081	+	12.5248i	−1.37265	+	0.661035i	−0.405234	+	0.914213i	$0.632810\pi$
$360$	0.0193422	−	0.0847439i	0.00101943	−	0.00446640i
$361$	37.1509			1.95531
$362$	−26.0368			−1.36846
$363$	−2.51946	+	11.0385i	−0.132237	+	0.579370i
$364$	−3.20372	+	14.4271i	−0.167921	+	0.756188i
$365$	−1.51401	−	6.63330i	−0.0792467	−	0.347203i
$366$	3.39828	+	14.8889i	0.177631	+	0.778253i
$367$	−13.3782	−	16.7758i	−0.698338	−	0.875688i	0.298560	−	0.954391i	$-0.403494\pi$
$367$	−13.3782	−	16.7758i	−0.698338	−	0.875688i	−0.996898	+	0.0787025i	$0.974922\pi$
$368$	−2.42293	−	3.03826i	−0.126304	−	0.158380i
$369$	−0.0586333	−	0.256889i	−0.00305233	−	0.0133731i
$370$	0.664398	+	2.91092i	0.0345404	+	0.151331i
$371$	11.6684	−	5.70403i	0.605794	−	0.296138i
$372$	−2.40584	+	10.5407i	−0.124737	+	0.546509i
$373$	2.72514			0.141103			0.0705513	−	0.997508i	$-0.477524\pi$
$373$	2.72514			0.141103			0.0705513	+	0.997508i	$0.477524\pi$
$374$	−6.42367			−0.332160
$375$	0.390961	−	1.71291i	0.0201892	−	0.0884545i
$376$	−7.54445	+	3.63321i	−0.389075	+	0.187369i
$377$	−16.0938	−	20.1810i	−0.828872	−	1.03937i
$378$	2.93553	−	13.2194i	0.150987	−	0.679932i
$379$	17.7616	−	22.2723i	0.912351	−	1.14405i	−0.0767843	−	0.997048i	$-0.524465\pi$
$379$	17.7616	−	22.2723i	0.912351	−	1.14405i	0.989136	−	0.147005i	$-0.0469633\pi$
$380$	−1.66744	+	7.30551i	−0.0855377	+	0.374765i
$381$	12.5272	−	15.7087i	0.641790	−	0.804779i
$382$	1.85615	−	0.893873i	0.0949687	−	0.0457345i
$383$	−7.31821	−	9.17675i	−0.373943	−	0.468910i	0.558878	−	0.829250i	$-0.311232\pi$
$383$	−7.31821	−	9.17675i	−0.373943	−	0.468910i	−0.932821	+	0.360340i	$0.882661\pi$
$384$	−1.58297	−	0.762318i	−0.0807806	−	0.0389019i
$385$	3.54684	+	4.39432i	0.180764	+	0.223955i
$386$	−23.2499	+	11.1966i	−1.18339	+	0.569890i
$387$	0.242510	+	0.116787i	0.0123275	+	0.00593661i
$388$	1.77463	+	7.77516i	0.0900932	+	0.394724i
$389$	4.36519	+	2.10217i	0.221324	+	0.106584i	0.541261	−	0.840855i	$-0.317947\pi$
$389$	4.36519	+	2.10217i	0.221324	+	0.106584i	−0.319936	+	0.947439i	$0.603662\pi$
$390$	6.11893	−	7.67290i	0.309844	−	0.388532i
$391$	−11.6954			−0.591463
$392$	−6.99952	+	0.0823626i	−0.353529	+	0.00415994i
$393$	−34.8890			−1.75991
$394$	−11.0383	+	13.8416i	−0.556103	+	0.697331i
$395$	5.79240	+	2.78947i	0.291447	+	0.140354i
$396$	−0.0412844	−	0.180879i	−0.00207462	−	0.00908950i
$397$	−2.32227	−	1.11835i	−0.116551	−	0.0561282i	0.374700	−	0.927146i	$-0.377746\pi$
$397$	−2.32227	−	1.11835i	−0.116551	−	0.0561282i	−0.491251	+	0.871018i	$0.663460\pi$
$398$	16.1284	−	7.76702i	0.808443	−	0.389326i
$399$	7.55114	−	34.0046i	0.378030	−	1.70236i
$400$	−0.900969	−	0.433884i	−0.0450484	−	0.0216942i
$401$	16.0714	+	20.1529i	0.802567	+	1.00639i	0.999662	+	0.0260031i	$0.00827798\pi$
$401$	16.0714	+	20.1529i	0.802567	+	1.00639i	−0.197095	+	0.980384i	$0.563151\pi$
$402$	−12.4843	+	6.01211i	−0.622659	+	0.299857i
$403$	−21.4312	+	26.8738i	−1.06756	+	1.33868i
$404$	−0.986658	+	4.32283i	−0.0490881	+	0.215069i
$405$	−5.76928	+	7.23445i	−0.286678	+	0.359483i
$406$	7.56659	−	9.60357i	0.375524	−	0.476617i
$407$	3.97343	+	4.98253i	0.196956	+	0.246975i
$408$	−4.76406	+	2.29425i	−0.235856	+	0.113582i
$409$	−7.63765	+	33.4627i	−0.377658	+	1.65463i	0.326959	+	0.945038i	$0.393976\pi$
$409$	−7.63765	+	33.4627i	−0.377658	+	1.65463i	−0.704617	+	0.709588i	$0.748881\pi$
$410$	−3.03136			−0.149708
$411$	−12.7474			−0.628784
$412$	−1.02325	+	4.48314i	−0.0504118	+	0.220868i
$413$	−9.35761	−	11.5935i	−0.460458	−	0.570479i
$414$	−0.0751655	−	0.329322i	−0.00369418	−	0.0161853i
$415$	−1.56130	−	6.84050i	−0.0766411	−	0.335787i
$416$	−3.48267	−	4.36713i	−0.170752	−	0.214116i
$417$	−22.1127	−	27.7285i	−1.08286	−	1.35787i
$418$	3.55900	+	15.5930i	0.174076	+	0.762679i
$419$	−7.79780	−	34.1644i	−0.380947	−	1.66904i	−0.694519	−	0.719475i	$-0.744383\pi$
$419$	−7.79780	−	34.1644i	−0.380947	−	1.66904i	0.313571	−	0.949565i	$-0.398475\pi$
$420$	4.19994	+	1.99223i	0.204936	+	0.0972109i
$421$	2.88080	−	12.6216i	0.140402	−	0.615140i	−0.854940	−	0.518727i	$-0.826406\pi$
$421$	2.88080	−	12.6216i	0.140402	−	0.615140i	0.995341	−	0.0964128i	$-0.0307369\pi$
$422$	−6.81590			−0.331793
$423$	−0.727870			−0.0353902
$424$	−1.09236	+	4.78592i	−0.0530495	+	0.232425i
$425$	−2.71153	+	1.30580i	−0.131528	+	0.0633408i
$426$	10.1070	+	12.6738i	0.489687	+	0.614048i
$427$	−22.9968	+	0.135296i	−1.11289	+	0.00654742i
$428$	7.43865	−	9.32777i	0.359561	−	0.450875i
$429$	4.66118	−	20.4220i	0.225044	−	0.985982i
$430$	1.93070	−	2.42102i	0.0931064	−	0.116752i
$431$	4.56817	−	2.19991i	0.220041	−	0.105966i	−0.320616	−	0.947209i	$-0.603890\pi$
$431$	4.56817	−	2.19991i	0.220041	−	0.105966i	0.540657	+	0.841243i	$0.318176\pi$
$432$	3.19113	+	4.00155i	0.153533	+	0.192525i
$433$	20.8233	+	10.0280i	1.00070	+	0.481914i	0.861177	−	0.508305i	$-0.169728\pi$
$433$	20.8233	+	10.0280i	1.00070	+	0.481914i	0.139527	+	0.990218i	$0.455442\pi$
$434$	−14.7100	−	6.97766i	−0.706103	−	0.334938i
$435$	−7.31506	+	3.52275i	−0.350730	+	0.168903i
$436$	7.06893	+	3.40422i	0.338540	+	0.163032i
$437$	6.47979	+	28.3898i	0.309970	+	1.35807i
$438$	−10.7703	−	5.18673i	−0.514627	−	0.247831i
$439$	−0.207083	+	0.259674i	−0.00988355	+	0.0123936i	−0.786749	−	0.617273i	$-0.788237\pi$
$439$	−0.207083	+	0.259674i	−0.00988355	+	0.0123936i	0.776865	+	0.629667i	$0.216809\pi$
$440$	−2.13442			−0.101754
$441$	−0.551274	−	0.257534i	−0.0262512	−	0.0122635i
$442$	−16.8108			−0.799607
$443$	16.1774	−	20.2858i	0.768613	−	0.963810i	−0.231346	−	0.972871i	$-0.574313\pi$
$443$	16.1774	−	20.2858i	0.768613	−	0.963810i	0.999959	+	0.00906171i	$0.00288447\pi$
$444$	4.72640	+	2.27611i	0.224305	+	0.108020i
$445$	−3.72099	−	16.3027i	−0.176392	−	0.772823i
$446$	−12.9263	−	6.22498i	−0.612078	−	0.294761i
$447$	9.68594	−	4.66450i	0.458129	−	0.220623i
$448$	1.63740	−	2.07820i	0.0773599	−	0.0981858i
$449$	−35.1036	−	16.9050i	−1.65664	−	0.797796i	−0.999011	−	0.0444536i	$-0.985845\pi$
$449$	−35.1036	−	16.9050i	−1.65664	−	0.797796i	−0.657629	−	0.753342i	$-0.728440\pi$
$450$	−0.0541958	−	0.0679593i	−0.00255481	−	0.00320363i
$451$	−5.82944	+	2.80731i	−0.274497	+	0.132191i
$452$	2.56159	−	3.21213i	0.120487	−	0.151086i
$453$	6.65253	−	29.1466i	0.312563	−	1.36943i
$454$	11.9279	−	14.9571i	0.559803	−	0.701970i
$455$	9.28210	+	11.4999i	0.435152	+	0.539126i
$456$	8.20863	+	10.2933i	0.384404	+	0.482028i
$457$	1.37445	−	0.661902i	0.0642943	−	0.0309625i	−0.401460	−	0.915876i	$-0.631497\pi$
$457$	1.37445	−	0.661902i	0.0642943	−	0.0309625i	0.465755	+	0.884914i	$0.345783\pi$
$458$	−4.72783	+	20.7140i	−0.220917	+	0.967901i
$459$	15.4035			0.718973
$460$	−3.88608			−0.181189
$461$	−2.30652	+	10.1055i	−0.107425	+	0.470661i	0.892387	+	0.451272i	$0.149029\pi$
$461$	−2.30652	+	10.1055i	−0.107425	+	0.470661i	−0.999812	+	0.0193895i	$0.993828\pi$
$462$	9.92164	−	0.0583714i	0.461596	−	0.00271568i
$463$	3.16316	+	13.8587i	0.147004	+	0.644068i	0.993708	+	0.112003i	$0.0357267\pi$
$463$	3.16316	+	13.8587i	0.147004	+	0.644068i	−0.846703	+	0.532065i	$0.821416\pi$
$464$	1.02829	+	4.50524i	0.0477372	+	0.209150i
$465$	6.74101	+	8.45297i	0.312607	+	0.391997i
$466$	5.00588	+	6.27718i	0.231893	+	0.290785i
$467$	−3.05575	−	13.3881i	−0.141403	−	0.619529i	−0.995110	−	0.0987744i	$-0.968508\pi$
$467$	−3.05575	−	13.3881i	−0.141403	−	0.619529i	0.853706	−	0.520755i	$-0.174349\pi$
$468$	−0.108041	−	0.473360i	−0.00499422	−	0.0218811i
$469$	−4.76273	−	20.3152i	−0.219922	−	0.938069i
$470$	−1.86332	+	8.16376i	−0.0859488	+	0.376566i
$471$	3.56411			0.164226
$472$	5.63121			0.259198
$473$	1.47073	−	6.44371i	0.0676244	−	0.296282i
$474$	10.1770	−	4.90101i	0.467447	−	0.225111i
$475$	4.67205	+	5.85857i	0.214368	+	0.268810i
$476$	−1.81748	−	7.75238i	−0.0833040	−	0.355330i
$477$	−0.266047	+	0.333612i	−0.0121815	+	0.0152751i
$478$	−3.15318	+	13.8150i	−0.144223	+	0.631883i
$479$	−0.0761693	+	0.0955133i	−0.00348026	+	0.00436411i	−0.783569	−	0.621305i	$-0.786603\pi$
$479$	−0.0761693	+	0.0955133i	−0.00348026	+	0.00436411i	0.780088	+	0.625669i	$0.215174\pi$
$480$	−1.58297	+	0.762318i	−0.0722524	+	0.0347949i
$481$	10.3985	+	13.0393i	0.474130	+	0.594541i
$482$	−21.4330	−	10.3216i	−0.976245	−	0.470135i
$483$	18.0641	−	0.106275i	0.821945	−	0.00483570i
$484$	5.80609	−	2.79606i	0.263913	−	0.127094i
$485$	7.18533	+	3.46027i	0.326269	+	0.157123i
$486$	0.200948	+	0.880410i	0.00911518	+	0.0399362i
$487$	−23.4466	−	11.2913i	−1.06247	−	0.511657i	−0.180795	−	0.983521i	$-0.557867\pi$
$487$	−23.4466	−	11.2913i	−1.06247	−	0.511657i	−0.881671	+	0.471864i	$0.843581\pi$
$488$	5.41945	−	6.79578i	0.245327	−	0.307630i
$489$	−15.4415			−0.698291
$490$	−4.29973	+	5.52379i	−0.194242	+	0.249540i
$491$	34.7528			1.56837			0.784185	−	0.620526i	$-0.213081\pi$
$491$	34.7528			1.56837			0.784185	+	0.620526i	$0.213081\pi$
$492$	−3.32070	+	4.16403i	−0.149709	+	0.187729i
$493$	12.5302	+	6.03424i	0.564334	+	0.271769i
$494$	9.31392	+	40.8070i	0.419053	+	1.83599i
$495$	−0.167157	−	0.0804986i	−0.00751315	−	0.00361814i
$496$	5.54425	−	2.66997i	0.248944	−	0.119885i
$497$	−21.9306	+	10.7206i	−0.983721	+	0.480885i
$498$	−11.1068	−	5.34874i	−0.497706	−	0.239683i
$499$	8.99631	+	11.2810i	0.402730	+	0.505008i	0.941299	−	0.337574i	$-0.109606\pi$
$499$	8.99631	+	11.2810i	0.402730	+	0.505008i	−0.538569	+	0.842581i	$0.681035\pi$
$500$	−0.900969	+	0.433884i	−0.0402926	+	0.0194039i
$501$	−24.4850	+	30.7032i	−1.09391	+	1.37172i
$502$	3.48165	−	15.2541i	0.155394	−	0.680824i
$503$	25.6512	−	32.1656i	1.14373	−	1.43419i	0.260364	−	0.965511i	$-0.416158\pi$
$503$	25.6512	−	32.1656i	1.14373	−	1.43419i	0.883367	−	0.468682i	$-0.155271\pi$
$504$	0.206612	−	0.101001i	0.00920322	−	0.00449893i
$505$	2.76455	+	3.46664i	0.123021	+	0.154263i
$506$	−7.47309	+	3.59885i	−0.332220	+	0.159989i
$507$	7.11584	−	31.1765i	0.316026	−	1.38460i
$508$	−11.4357			−0.507377
$509$	0.352034			0.0156036			0.00780182	−	0.999970i	$-0.497517\pi$
$509$	0.352034			0.0156036			0.00780182	+	0.999970i	$0.497517\pi$
$510$	−1.17663	+	5.15513i	−0.0521018	+	0.228273i
$511$	11.1407	−	14.1398i	0.492835	−	0.625510i
$512$	0.222521	+	0.974928i	0.00983413	+	0.0430861i
$513$	−8.53422	−	37.3909i	−0.376795	−	1.65085i
$514$	7.36827	+	9.23952i	0.325000	+	0.407538i
$515$	2.86707	+	3.59520i	0.126338	+	0.158423i
$516$	−1.21065	−	5.30420i	−0.0532958	−	0.233504i
$517$	3.97711	+	17.4249i	0.174913	+	0.766344i
$518$	−4.88892	+	6.20505i	−0.214807	+	0.272634i
$519$	−7.33856	+	32.1523i	−0.322127	+	1.41133i
$520$	−5.58577			−0.244952
$521$	2.80548			0.122910			0.0614551	−	0.998110i	$-0.480426\pi$
$521$	2.80548			0.122910			0.0614551	+	0.998110i	$0.480426\pi$
$522$	−0.0893824	+	0.391610i	−0.00391216	+	0.0171403i
$523$	11.4428	−	5.51055i	0.500358	−	0.240960i	−0.166642	−	0.986017i	$-0.553292\pi$
$523$	11.4428	−	5.51055i	0.500358	−	0.240960i	0.667000	+	0.745058i	$0.267578\pi$
$524$	12.3810	+	15.5252i	0.540865	+	0.678223i
$525$	4.17621	−	2.04151i	0.182265	−	0.0890988i
$526$	−12.0649	+	15.1289i	−0.526056	+	0.659653i
$527$	4.12105	−	18.0555i	0.179516	−	0.786511i
$528$	−2.33814	+	2.93194i	−0.101755	+	0.127596i
$529$	7.11620	−	3.42698i	0.309400	−	0.148999i
$530$	3.06071	+	3.83801i	0.132949	+	0.166713i
$531$	0.441009	+	0.212379i	0.0191382	+	0.00921646i
$532$	−17.8114	+	8.70696i	−0.772221	+	0.377495i
$533$	−15.2557	+	7.34674i	−0.660796	+	0.318223i
$534$	−26.4704	−	12.7475i	−1.14549	−	0.551637i
$535$	−2.65482	−	11.6315i	−0.114778	−	0.502876i
$536$	7.10559	+	3.42187i	0.306915	+	0.147802i
$537$	−4.91316	+	6.16091i	−0.212018	+	0.265863i
$538$	4.27130			0.184149
$539$	−3.15305	+	14.6044i	−0.135811	+	0.629057i
$540$	5.11817			0.220251
$541$	−13.4033	+	16.8072i	−0.576251	+	0.722596i	−0.981468	−	0.191624i	$-0.938625\pi$
$541$	−13.4033	+	16.8072i	−0.576251	+	0.722596i	0.405217	+	0.914221i	$0.367196\pi$
$542$	−11.7008	−	5.63482i	−0.502593	−	0.242036i
$543$	10.1794	+	44.5988i	0.436839	+	1.91392i
$544$	2.71153	+	1.30580i	0.116256	+	0.0559859i
$545$	7.06893	−	3.40422i	0.302800	−	0.145821i
$546$	25.9650	−	0.152758i	1.11120	−	0.00653745i
$547$	−6.63639	−	3.19592i	−0.283751	−	0.136648i	0.286595	−	0.958052i	$-0.407477\pi$
$547$	−6.63639	−	3.19592i	−0.283751	−	0.136648i	−0.570346	+	0.821404i	$0.693191\pi$
$548$	4.52365	+	5.67248i	0.193241	+	0.242316i
$549$	0.680725	−	0.327820i	0.0290526	−	0.0139910i
$550$	−1.33079	+	1.66875i	−0.0567449	+	0.0711559i
$551$	7.70539	−	33.7595i	0.328260	−	1.43820i
$552$	−4.25700	+	5.33811i	−0.181190	+	0.227205i
$553$	3.88252	+	16.5607i	0.165102	+	0.704234i
$554$	4.16851	+	5.22715i	0.177103	+	0.222080i
$555$	4.72640	−	2.27611i	0.200624	−	0.0966156i
$556$	−4.49180	+	19.6799i	−0.190495	+	0.834613i
$557$	−21.0305			−0.891093			−0.445546	−	0.895259i	$-0.646991\pi$
$557$	−21.0305			−0.891093			−0.445546	+	0.895259i	$0.646991\pi$
$558$	0.534896			0.0226439
$559$	3.84892	−	16.8632i	0.162792	−	0.713238i
$560$	−0.603900	−	2.57591i	−0.0255194	−	0.108852i
$561$	2.51141	+	11.0032i	0.106032	+	0.464555i
$562$	4.06434	+	17.8070i	0.171444	+	0.751145i
$563$	5.58929	+	7.00875i	0.235560	+	0.295383i	0.885535	−	0.464572i	$-0.153792\pi$
$563$	5.58929	+	7.00875i	0.235560	+	0.295383i	−0.649975	+	0.759956i	$0.725221\pi$
$564$	9.17297	+	11.5025i	0.386252	+	0.484344i
$565$	−0.914221	−	4.00547i	−0.0384616	−	0.168511i
$566$	−1.06742	−	4.67666i	−0.0448669	−	0.196575i
$567$	−24.4813	+	0.144029i	−1.02812	+	0.00604866i
$568$	2.05306	−	8.99505i	0.0861446	−	0.377424i
$569$	4.76425			0.199728			0.0998639	−	0.995001i	$-0.468159\pi$
$569$	4.76425			0.199728			0.0998639	+	0.995001i	$0.468159\pi$
$570$	13.1656			0.551447
$571$	7.54311	−	33.0485i	0.315669	−	1.38304i	−0.529396	−	0.848375i	$-0.677581\pi$
$571$	7.54311	−	33.0485i	0.315669	−	1.38304i	0.845065	−	0.534663i	$-0.179561\pi$
$572$	−10.7417	+	5.17292i	−0.449132	+	0.216291i
$573$	−2.25681	−	2.82995i	−0.0942795	−	0.118223i
$574$	−5.03733	−	6.24094i	−0.210254	−	0.260492i
$575$	−2.42293	+	3.03826i	−0.101043	+	0.126704i
$576$	−0.0193422	+	0.0847439i	−0.000805927	+	0.00353100i
$577$	15.2881	−	19.1707i	0.636452	−	0.798085i	−0.354103	−	0.935207i	$-0.615214\pi$
$577$	15.2881	−	19.1707i	0.636452	−	0.798085i	0.990554	+	0.137122i	$0.0437851\pi$
$578$	−7.15594	+	3.44612i	−0.297648	+	0.143340i
$579$	28.2685	+	35.4476i	1.17480	+	1.47315i
$580$	4.16347	+	2.00502i	0.172878	+	0.0832539i
$581$	11.4887	−	14.5815i	0.476631	−	0.604943i
$582$	12.6244	−	6.07958i	0.523297	−	0.252007i
$583$	9.44021	+	4.54617i	0.390974	+	0.188283i
$584$	1.51401	+	6.63330i	0.0626501	+	0.274488i
$585$	−0.437451	−	0.210665i	−0.0180864	−	0.00870993i
$586$	7.26498	−	9.11000i	0.300114	−	0.376331i
$587$	−24.0385			−0.992176			−0.496088	−	0.868272i	$-0.665231\pi$
$587$	−24.0385			−0.992176			−0.496088	+	0.868272i	$0.665231\pi$
$588$	2.87762	+	11.9574i	0.118671	+	0.493113i
$589$	−46.1117			−1.90000
$590$	3.51100	−	4.40266i	0.144546	−	0.181255i
$591$	28.0251	+	13.4962i	1.15280	+	0.555158i
$592$	−0.664398	−	2.91092i	−0.0273066	−	0.119638i
$593$	−40.1822	−	19.3507i	−1.65008	−	0.794639i	−0.999376	−	0.0353102i	$-0.988758\pi$
$593$	−40.1822	−	19.3507i	−1.65008	−	0.794639i	−0.650708	−	0.759328i	$-0.725528\pi$
$594$	9.84246	−	4.73988i	0.403841	−	0.194480i
$595$	−7.19423	−	3.41256i	−0.294935	−	0.139902i
$596$	−5.51288	−	2.65487i	−0.225817	−	0.108748i
$597$	−19.6098	−	24.5899i	−0.802576	−	1.00640i
$598$	−19.5571	+	9.41821i	−0.799750	+	0.385139i
$599$	−9.17336	+	11.5030i	−0.374813	+	0.470001i	−0.933084	−	0.359658i	$-0.882893\pi$
$599$	−9.17336	+	11.5030i	−0.374813	+	0.470001i	0.558271	+	0.829659i	$0.311465\pi$
$600$	−0.390961	+	1.71291i	−0.0159609	+	0.0699294i
$601$	9.45791	−	11.8598i	0.385796	−	0.483773i	−0.550574	−	0.834786i	$-0.685591\pi$
$601$	9.45791	−	11.8598i	0.385796	−	0.483773i	0.936371	+	0.351013i	$0.114163\pi$
$602$	8.19268	−	0.0481995i	0.333909	−	0.00196447i
$603$	0.427421	+	0.535969i	0.0174059	+	0.0218264i
$604$	−15.3307	+	7.38289i	−0.623798	+	0.300405i
$605$	1.43399	−	6.28270i	0.0582998	−	0.255428i
$606$	7.79038			0.316463
$607$	7.31526			0.296917			0.148459	−	0.988919i	$-0.452569\pi$
$607$	7.31526			0.296917			0.148459	+	0.988919i	$0.452569\pi$
$608$	1.66744	−	7.30551i	0.0676235	−	0.296278i
$609$	−19.4083	−	9.20629i	−0.786465	−	0.373058i
$610$	−1.93418	−	8.47419i	−0.0783126	−	0.343110i
$611$	10.4081	+	45.6009i	0.421067	+	1.84482i
$612$	0.163106	+	0.204528i	0.00659317	+	0.00826757i
$613$	13.4995	+	16.9278i	0.545239	+	0.683708i	0.975753	−	0.218876i	$-0.0702390\pi$
$613$	13.4995	+	16.9278i	0.545239	+	0.683708i	−0.430514	+	0.902584i	$0.641668\pi$
$614$	−7.23100	−	31.6811i	−0.291819	−	1.27854i
$615$	1.18515	+	5.19246i	0.0477897	+	0.209380i
$616$	−3.54684	−	4.39432i	−0.142906	−	0.177052i
$617$	0.204232	−	0.894799i	0.00822208	−	0.0360233i	−0.970650	−	0.240495i	$-0.922690\pi$
$617$	0.204232	−	0.894799i	0.00822208	−	0.0360233i	0.978873	+	0.204471i	$0.0655475\pi$
$618$	8.07928			0.324996
$619$	−40.1890			−1.61533			−0.807665	−	0.589641i	$-0.799269\pi$
$619$	−40.1890			−1.61533			−0.807665	+	0.589641i	$0.799269\pi$
$620$	1.36932	−	5.99937i	0.0549931	−	0.240940i
$621$	17.9199	−	8.62978i	0.719102	−	0.346301i
$622$	1.58725	+	1.99035i	0.0636429	+	0.0798056i
$623$	27.3806	−	34.7516i	1.09698	−	1.39229i
$624$	−6.11893	+	7.67290i	−0.244953	+	0.307162i
$625$	−0.222521	+	0.974928i	−0.00890084	+	0.0389971i
$626$	10.2686	−	12.8764i	0.410415	−	0.514644i
$627$	25.3180	−	12.1925i	1.01110	−	0.486922i
$628$	−1.26479	−	1.58599i	−0.0504706	−	0.0632881i
$629$	−8.09602	−	3.89884i	−0.322809	−	0.155457i
$630$	0.0498548	−	0.224508i	0.00198626	−	0.00894463i
$631$	−9.08634	+	4.37575i	−0.361721	+	0.174196i	−0.605913	−	0.795531i	$-0.707192\pi$
$631$	−9.08634	+	4.37575i	−0.361721	+	0.174196i	0.244191	+	0.969727i	$0.421478\pi$
$632$	−5.79240	−	2.78947i	−0.230409	−	0.110959i
$633$	2.66475	+	11.6751i	0.105914	+	0.464042i
$634$	−12.2915	−	5.91929i	−0.488159	−	0.235085i
$635$	−7.13005	+	8.94080i	−0.282947	+	0.354805i
$636$	8.62494			0.342001
$637$	−8.25154	+	38.2198i	−0.326938	+	1.51432i
$638$	9.86334			0.390494
$639$	0.500030	−	0.627018i	0.0197809	−	0.0248045i
$640$	0.900969	+	0.433884i	0.0356139	+	0.0171508i
$641$	1.35713	+	5.94597i	0.0536033	+	0.234852i	0.994632	−	0.103475i	$-0.0329962\pi$
$641$	1.35713	+	5.94597i	0.0536033	+	0.234852i	−0.941029	+	0.338327i	$0.890139\pi$
$642$	−18.8859	−	9.09497i	−0.745367	−	0.358950i
$643$	18.2151	−	8.77194i	0.718334	−	0.345931i	−0.0387501	−	0.999249i	$-0.512338\pi$
$643$	18.2151	−	8.77194i	0.718334	−	0.345931i	0.757084	+	0.653318i	$0.226623\pi$
$644$	−6.45765	−	8.00063i	−0.254467	−	0.315269i
$645$	−4.90182	−	2.36059i	−0.193009	−	0.0929482i
$646$	−14.0609	−	17.6318i	−0.553217	−	0.693713i
$647$	35.7364	−	17.2097i	1.40494	−	0.676585i	0.430785	−	0.902454i	$-0.358237\pi$
$647$	35.7364	−	17.2097i	1.40494	−	0.676585i	0.974158	+	0.225870i	$0.0725224\pi$
$648$	5.76928	−	7.23445i	0.226639	−	0.284196i
$649$	2.67456	−	11.7180i	0.104986	−	0.459972i
$650$	−3.48267	+	4.36713i	−0.136602	+	0.171293i
$651$	−6.20108	+	27.9250i	−0.243039	+	1.09447i
$652$	5.47970	+	6.87133i	0.214602	+	0.269102i
$653$	−23.2066	+	11.1757i	−0.908145	+	0.437340i	−0.828824	−	0.559509i	$-0.810990\pi$
$653$	−23.2066	+	11.1757i	−0.908145	+	0.437340i	−0.0793213	+	0.996849i	$0.525275\pi$
$654$	3.06745	−	13.4394i	0.119947	−	0.525522i
$655$	19.8575			0.775898
$656$	3.03136			0.118355
$657$	−0.131602	+	0.576588i	−0.00513430	+	0.0224948i
$658$	−19.9038	+	9.72985i	−0.775932	+	0.379309i
$659$	−6.27572	−	27.4957i	−0.244467	−	1.07108i	−0.936900	−	0.349598i	$-0.886318\pi$
$659$	−6.27572	−	27.4957i	−0.244467	−	1.07108i	0.692432	−	0.721483i	$-0.256539\pi$
$660$	0.834474	+	3.65607i	0.0324819	+	0.142312i
$661$	27.5635	+	34.5636i	1.07210	+	1.34437i	0.935335	+	0.353763i	$0.115098\pi$
$661$	27.5635	+	34.5636i	1.07210	+	1.34437i	0.136761	+	0.990604i	$0.456331\pi$
$662$	20.3851	+	25.5622i	0.792291	+	0.993501i
$663$	6.57236	+	28.7954i	0.255249	+	1.11832i
$664$	1.56130	+	6.84050i	0.0605901	+	0.265463i
$665$	−4.29783	+	19.3542i	−0.166663	+	0.750523i
$666$	0.0577516	−	0.253026i	0.00223783	−	0.00980458i
$667$	17.9580			0.695335
$668$	22.3516			0.864808
$669$	−5.60917	+	24.5754i	−0.216863	+	0.950138i
$670$	7.10559	−	3.42187i	0.274513	−	0.132199i
$671$	−11.5674	−	14.5050i	−0.446553	−	0.559960i
$672$	−4.19994	−	1.99223i	−0.162016	−	0.0768519i
$673$	8.38041	−	10.5087i	0.323041	−	0.405081i	−0.593620	−	0.804745i	$-0.702302\pi$
$673$	8.38041	−	10.5087i	0.323041	−	0.405081i	0.916662	+	0.399664i	$0.130873\pi$
$674$	6.78760	−	29.7384i	0.261448	−	1.14548i
$675$	3.19113	−	4.00155i	0.122827	−	0.154020i
$676$	−16.3984	+	7.89706i	−0.630709	+	0.303733i
$677$	−19.0929	−	23.9418i	−0.733801	−	0.920157i	0.265229	−	0.964185i	$-0.414552\pi$
$677$	−19.0929	−	23.9418i	−0.733801	−	0.920157i	−0.999030	+	0.0440280i	$0.985981\pi$
$678$	−6.50359	−	3.13196i	−0.249769	−	0.120282i
$679$	4.81617	+	20.5432i	0.184828	+	0.788375i
$680$	2.71153	−	1.30580i	0.103982	−	0.0500753i
$681$	−30.2835	−	14.5838i	−1.16047	−	0.558851i
$682$	−2.92269	−	12.8051i	−0.111916	−	0.490334i
$683$	−3.85425	−	1.85611i	−0.147479	−	0.0710221i	0.358689	−	0.933457i	$-0.383224\pi$
$683$	−3.85425	−	1.85611i	−0.147479	−	0.0710221i	−0.506168	+	0.862435i	$0.668938\pi$
$684$	0.406110	−	0.509246i	0.0155280	−	0.0194715i
$685$	7.25537			0.277214
$686$	−18.5174	+	0.326857i	−0.706997	+	0.0124795i
$687$	37.3297			1.42422
$688$	−1.93070	+	2.42102i	−0.0736071	+	0.0923003i
$689$	24.7051	+	11.8973i	0.941189	+	0.453253i
$690$	1.51931	+	6.65652i	0.0578390	+	0.253409i
$691$	5.76803	+	2.77774i	0.219426	+	0.105670i	0.540368	−	0.841429i	$-0.318285\pi$
$691$	5.76803	+	2.77774i	0.219426	+	0.105670i	−0.320942	+	0.947099i	$0.603999\pi$
$692$	16.9117	−	8.14424i	0.642886	−	0.309598i
$693$	−0.112042	−	0.477909i	−0.00425611	−	0.0181543i
$694$	−9.43517	−	4.54374i	−0.358154	−	0.172478i
$695$	12.5858	+	15.7820i	0.477405	+	0.598647i
$696$	7.31506	−	3.52275i	0.277277	−	0.133529i
$697$	5.68816	−	7.13272i	0.215454	−	0.270171i
$698$	−5.99488	+	26.2653i	−0.226910	+	0.994156i
$699$	8.79515	−	11.0288i	0.332663	−	0.417147i
$700$	−2.39045	−	1.13390i	−0.0903506	−	0.0428576i
$701$	−30.9028	−	38.7509i	−1.16718	−	1.46360i	−0.858781	−	0.512344i	$-0.828777\pi$
$701$	−30.9028	−	38.7509i	−1.16718	−	1.46360i	−0.308402	−	0.951256i	$-0.599794\pi$
$702$	25.7578	−	12.4043i	0.972164	−	0.468169i
$703$	−4.97859	+	21.8126i	−0.187771	+	0.822679i
$704$	2.13442			0.0804438
$705$	14.7123			0.554097
$706$	0.765162	−	3.35240i	0.0287973	−	0.126169i
$707$	−2.54312	+	11.4523i	−0.0956439	+	0.430708i
$708$	−2.20159	−	9.64578i	−0.0827407	−	0.362511i
$709$	−8.11941	−	35.5735i	−0.304931	−	1.33599i	−0.862583	−	0.505915i	$-0.831155\pi$
$709$	−8.11941	−	35.5735i	−0.304931	−	1.33599i	0.557653	−	0.830074i	$-0.311702\pi$
$710$	−5.75255	−	7.21347i	−0.215889	−	0.270717i
$711$	−0.348429	−	0.436916i	−0.0130671	−	0.0163856i
$712$	3.72099	+	16.3027i	0.139450	+	0.610971i
$713$	−5.32127	−	23.3140i	−0.199283	−	0.873117i
$714$	−12.5686	+	6.14406i	−0.470367	+	0.229936i
$715$	−2.65298	+	11.6234i	−0.0992157	+	0.434692i
$716$	4.48506			0.167615
$717$	24.8966			0.929782
$718$	6.42346	−	28.1430i	0.239722	−	1.05029i
$719$	−37.6466	+	18.1297i	−1.40398	+	0.676122i	−0.973965	−	0.226698i	$-0.927207\pi$
$719$	−37.6466	+	18.1297i	−1.40398	+	0.676122i	−0.430018	+	0.902820i	$0.641493\pi$
$720$	0.0541958	+	0.0679593i	0.00201976	+	0.00253269i
$721$	−2.63743	+	11.8770i	−0.0982230	+	0.442322i
$722$	−23.1632	+	29.0457i	−0.862045	+	1.08097i
$723$	−9.30050	+	40.7482i	−0.345889	+	1.51544i
$724$	16.2337	−	20.3564i	0.603320	−	0.756540i
$725$	4.16347	−	2.00502i	0.154627	−	0.0744645i
$726$	−7.05937	−	8.85217i	−0.261998	−	0.328535i
$727$	−8.56795	−	4.12611i	−0.317768	−	0.153029i	0.268200	−	0.963363i	$-0.413571\pi$
$727$	−8.56795	−	4.12611i	−0.317768	−	0.153029i	−0.585968	+	0.810334i	$0.699285\pi$
$728$	−9.28210	−	11.4999i	−0.344018	−	0.426216i
$729$	−23.5811	+	11.3560i	−0.873373	+	0.420594i
$730$	6.13009	+	2.95210i	0.226885	+	0.109262i
$731$	2.07377	+	9.08576i	0.0767010	+	0.336049i
$732$	−13.7594	−	6.62616i	−0.508561	−	0.244910i
$733$	−5.13211	+	6.43546i	−0.189559	+	0.237699i	−0.867525	−	0.497394i	$-0.834290\pi$
$733$	−5.13211	+	6.43546i	−0.189559	+	0.237699i	0.677966	+	0.735093i	$0.262862\pi$
$734$	21.4570			0.791993
$735$	11.1428	+	5.20548i	0.411009	+	0.192007i
$736$	3.88608			0.143243
$737$	10.4954	−	13.1608i	0.386603	−	0.484785i
$738$	0.237402	+	0.114327i	0.00873887	+	0.00420842i
$739$	5.48431	+	24.0283i	0.201744	+	0.883897i	0.969875	+	0.243604i	$0.0783298\pi$
$739$	5.48431	+	24.0283i	0.201744	+	0.883897i	−0.768131	+	0.640293i	$0.778813\pi$
$740$	−2.69009	−	1.29548i	−0.0988898	−	0.0476228i
$741$	66.2574	−	31.9079i	2.43403	−	1.17217i
$742$	−2.81556	+	12.6791i	−0.103362	+	0.465466i
$743$	−2.87127	−	1.38273i	−0.105337	−	0.0507274i	0.380473	−	0.924792i	$-0.375761\pi$
$743$	−2.87127	−	1.38273i	−0.105337	−	0.0507274i	−0.485810	+	0.874064i	$0.661475\pi$
$744$	−6.74101	−	8.45297i	−0.247138	−	0.309901i
$745$	−5.51288	+	2.65487i	−0.201976	+	0.0972667i
$746$	−1.69910	+	2.13060i	−0.0622084	+	0.0780069i
$747$	−0.135713	+	0.594598i	−0.00496548	+	0.0217552i
$748$	4.00509	−	5.02223i	0.146441	−	0.183631i
$749$	19.5353	−	24.7943i	0.713804	−	0.905965i
$750$	1.09545	+	1.37365i	0.0400002	+	0.0501586i
$751$	3.49860	−	1.68484i	0.127666	−	0.0614806i	−0.368960	−	0.929445i	$-0.620286\pi$
$751$	3.49860	−	1.68484i	0.127666	−	0.0614806i	0.496626	+	0.867964i	$0.334572\pi$
$752$	1.86332	−	8.16376i	0.0679485	−	0.297702i
$753$	−27.4901			−1.00180
$754$	25.8124			0.940033
$755$	−3.78637	+	16.5892i	−0.137800	+	0.603743i
$756$	8.50507	+	10.5372i	0.309326	+	0.383236i
$757$	−2.13721	−	9.36373i	−0.0776782	−	0.340331i	0.921123	−	0.389270i	$-0.127273\pi$
$757$	−2.13721	−	9.36373i	−0.0776782	−	0.340331i	−0.998802	+	0.0489399i	$0.984416\pi$
$758$	6.33904	+	27.7731i	0.230244	+	1.00877i
$759$	9.08621	+	11.3938i	0.329809	+	0.413567i
$760$	−4.67205	−	5.85857i	−0.169473	−	0.212513i
$761$	−7.34473	−	32.1794i	−0.266246	−	1.16650i	−0.914342	−	0.404942i	$-0.867292\pi$
$761$	−7.34473	−	32.1794i	−0.266246	−	1.16650i	0.648096	−	0.761558i	$-0.275565\pi$
$762$	4.47092	+	19.5884i	0.161964	+	0.709612i
$763$	18.7553	+	8.89653i	0.678987	+	0.322076i
$764$	−0.458430	+	2.00851i	−0.0165854	+	0.0726655i
$765$	0.261602			0.00945822
$766$	11.7375			0.424093
$767$	6.99933	−	30.6661i	0.252731	−	1.10729i
$768$	1.58297	−	0.762318i	0.0571205	−	0.0275078i
$769$	13.9240	+	17.4601i	0.502111	+	0.629627i	0.966704	−	0.255897i	$-0.0823708\pi$
$769$	13.9240	+	17.4601i	0.502111	+	0.629627i	−0.464593	+	0.885524i	$0.653799\pi$
$770$	−5.64703	+	0.0332229i	−0.203505	+	0.00119727i
$771$	12.9458	−	16.2335i	0.466231	−	0.584635i
$772$	5.74225	−	25.1584i	0.206668	−	0.905472i
$773$	−17.7000	+	22.1951i	−0.636625	+	0.798303i	−0.990576	−	0.136961i	$-0.956266\pi$
$773$	−17.7000	+	22.1951i	−0.636625	+	0.798303i	0.353951	+	0.935264i	$0.384838\pi$
$774$	−0.242510	+	0.116787i	−0.00871685	+	0.00419781i
$775$	−3.83674	−	4.81112i	−0.137820	−	0.172821i
$776$	−7.18533	−	3.46027i	−0.257938	−	0.124217i
$777$	12.5401	+	5.94836i	0.449873	+	0.213396i
$778$	−4.36519	+	2.10217i	−0.156500	+	0.0753663i
$779$	−20.4657	−	9.85574i	−0.733258	−	0.353119i
$780$	2.18382	+	9.56795i	0.0781934	+	0.342588i
$781$	−17.7427	−	8.54444i	−0.634884	−	0.305744i
$782$	7.29198	−	9.14385i	0.260761	−	0.326984i
$783$	−23.6516			−0.845238
$784$	4.29973	−	5.52379i	0.153562	−	0.197278i
$785$	−2.02856			−0.0724025
$786$	21.7529	−	27.2773i	0.775900	−	0.972948i
$787$	−6.55694	−	3.15766i	−0.233730	−	0.112558i	0.313353	−	0.949637i	$-0.398548\pi$
$787$	−6.55694	−	3.15766i	−0.233730	−	0.112558i	−0.547083	+	0.837078i	$0.684262\pi$
$788$	−3.93953	−	17.2602i	−0.140340	−	0.614870i
$789$	30.6315	+	14.7513i	1.09051	+	0.525162i
$790$	−5.79240	+	2.78947i	−0.206084	+	0.0992450i
$791$	6.72722	−	8.53823i	0.239192	−	0.303585i
$792$	0.167157	+	0.0804986i	0.00593967	+	0.00286039i
$793$	−30.2718	−	37.9597i	−1.07498	−	1.34799i
$794$	2.32227	−	1.11835i	0.0824142	−	0.0396886i
$795$	5.37756	−	6.74325i	0.190722	−	0.239158i
$796$	−3.98338	+	17.4523i	−0.141187	+	0.618582i
$797$	15.1018	−	18.9371i	0.534934	−	0.670786i	−0.438771	−	0.898599i	$-0.644586\pi$
$797$	15.1018	−	18.9371i	0.534934	−	0.670786i	0.973705	+	0.227813i	$0.0731575\pi$
$798$	21.8778	+	27.1053i	0.774467	+	0.959516i
$799$	−15.7127	−	19.7031i	−0.555876	−	0.697047i
$800$	0.900969	−	0.433884i	0.0318541	−	0.0153401i
$801$	−0.323441	+	1.41709i	−0.0114282	+	0.0500703i
$802$	−25.7765			−0.910201
$803$	14.5223			0.512481
$804$	3.08336	−	13.5091i	0.108742	−	0.476429i
$805$	−10.2814	+	0.0604881i	−0.362373	+	0.00213193i
$806$	−7.64869	−	33.5111i	−0.269414	−	1.18038i
$807$	−1.66991	−	7.31636i	−0.0587837	−	0.257548i
$808$	−2.76455	−	3.46664i	−0.0972567	−	0.121956i
$809$	1.61528	+	2.02550i	0.0567903	+	0.0712128i	0.809415	−	0.587237i	$-0.199784\pi$
$809$	1.61528	+	2.02550i	0.0567903	+	0.0712128i	−0.752625	+	0.658449i	$0.771213\pi$
$810$	−2.05903	−	9.02122i	−0.0723471	−	0.316973i
$811$	10.3923	+	45.5316i	0.364923	+	1.59883i	0.740510	+	0.672045i	$0.234584\pi$
$811$	10.3923	+	45.5316i	0.364923	+	1.59883i	−0.375587	+	0.926787i	$0.622559\pi$
$812$	2.79068	+	11.9035i	0.0979337	+	0.417732i
$813$	−5.07739	+	22.2455i	−0.178072	+	0.780184i
$814$	−6.37289			−0.223370
$815$	8.78876			0.307857
$816$	1.17663	−	5.15513i	0.0411901	−	0.180466i
$817$	20.9061	−	10.0678i	0.731411	−	0.352229i
$818$	−21.4002	−	26.8350i	−0.748241	−	0.938265i
$819$	−0.293214	−	1.25069i	−0.0102457	−	0.0437027i
$820$	1.89002	−	2.37001i	0.0660025	−	0.0827645i
$821$	2.67201	−	11.7069i	0.0932539	−	0.408572i	−0.906658	−	0.421867i	$-0.861375\pi$
$821$	2.67201	−	11.7069i	0.0932539	−	0.408572i	0.999912	+	0.0132949i	$0.00423202\pi$
$822$	7.94789	−	9.96634i	0.277215	−	0.347616i
$823$	19.2996	−	9.29418i	0.672740	−	0.323975i	−0.0661409	−	0.997810i	$-0.521069\pi$
$823$	19.2996	−	9.29418i	0.672740	−	0.323975i	0.738881	+	0.673836i	$0.235354\pi$
$824$	−2.86707	−	3.59520i	−0.0998793	−	0.125245i
$825$	3.37872	+	1.62710i	0.117632	+	0.0566485i
$826$	14.8985	−	0.0876517i	0.518386	−	0.00304979i
$827$	−4.93401	+	2.37610i	−0.171572	+	0.0826250i	−0.517699	−	0.855563i	$-0.673211\pi$
$827$	−4.93401	+	2.37610i	−0.171572	+	0.0826250i	0.346126	+	0.938188i	$0.387497\pi$
$828$	0.304339	+	0.146562i	0.0105765	+	0.00509338i
$829$	4.65806	+	20.4083i	0.161781	+	0.708809i	0.989121	+	0.147107i	$0.0469962\pi$
$829$	4.65806	+	20.4083i	0.161781	+	0.708809i	−0.827340	+	0.561702i	$0.810147\pi$
$830$	6.32157	+	3.04431i	0.219425	+	0.105669i
$831$	7.32393	−	9.18391i	0.254064	−	0.318586i
$832$	5.58577			0.193652
$833$	−4.92918	−	20.4822i	−0.170786	−	0.709667i
$834$	35.4661			1.22809
$835$	13.9360	−	17.4751i	0.482274	−	0.604752i
$836$	−14.4101	−	6.93954i	−0.498384	−	0.240009i
$837$	7.00840	+	30.7058i	0.242246	+	1.06135i
$838$	31.5726	+	15.2046i	1.09066	+	0.525234i
$839$	9.20552	−	4.43314i	0.317810	−	0.153049i	−0.268177	−	0.963370i	$-0.586421\pi$
$839$	9.20552	−	4.43314i	0.317810	−	0.153049i	0.585987	+	0.810320i	$0.300707\pi$
$840$	−4.17621	+	2.04151i	−0.144093	+	0.0704388i
$841$	6.88831	+	3.31724i	0.237528	+	0.114387i
$842$	8.07183	+	10.1218i	0.278174	+	0.348819i
$843$	28.9129	−	13.9237i	0.995814	−	0.479559i
$844$	4.24965	−	5.32889i	0.146279	−	0.183428i
$845$	−4.05008	+	17.7445i	−0.139327	+	0.610431i
$846$	0.453819	−	0.569071i	0.0156026	−	0.0195651i
$847$	15.3177	−	7.48794i	0.526322	−	0.257289i
$848$	−3.06071	−	3.83801i	−0.105105	−	0.131798i
$849$	−7.59339	+	3.65679i	−0.260605	+	0.125501i
$850$	0.669692	−	2.93411i	0.0229703	−	0.100639i
$851$	−11.6030			−0.397745
$852$	−16.2104			−0.555360
$853$	−6.14645	+	26.9293i	−0.210450	+	0.922043i	0.753811	+	0.657091i	$0.228213\pi$
$853$	−6.14645	+	26.9293i	−0.210450	+	0.922043i	−0.964262	+	0.264952i	$0.914644\pi$
$854$	14.2325	−	18.0640i	0.487026	−	0.618137i
$855$	−0.144939	−	0.635019i	−0.00495681	−	0.0217172i
$856$	2.65482	+	11.6315i	0.0907400	+	0.397558i
$857$	−0.553398	−	0.693939i	−0.0189037	−	0.0237045i	0.772290	−	0.635270i	$-0.219111\pi$
$857$	−0.553398	−	0.693939i	−0.0189037	−	0.0237045i	−0.791193	+	0.611566i	$0.790540\pi$
$858$	13.0603	+	16.3772i	0.445873	+	0.559107i
$859$	−5.20533	−	22.8060i	−0.177603	−	0.778131i	−0.982733	−	0.185032i	$-0.940761\pi$
$859$	−5.20533	−	22.8060i	−0.177603	−	0.778131i	0.805129	−	0.593100i	$-0.202096\pi$
$860$	0.689057	+	3.01896i	0.0234967	+	0.102946i
$861$	−8.72079	+	11.0685i	−0.297204	+	0.377213i
$862$	−1.12824	+	4.94316i	−0.0384281	+	0.168365i
$863$	−38.1780			−1.29960			−0.649798	−	0.760107i	$-0.725146\pi$
$863$	−38.1780			−1.29960			−0.649798	+	0.760107i	$0.725146\pi$
$864$	−5.11817			−0.174124
$865$	4.17684	−	18.2999i	0.142017	−	0.622217i
$866$	−20.8233	+	10.0280i	−0.707605	+	0.340764i
$867$	8.70060	+	10.9102i	0.295488	+	0.370530i
$868$	14.6269	−	7.15025i	0.496469	−	0.242695i
$869$	−8.55573	+	10.7285i	−0.290233	+	0.363941i
$870$	1.80667	−	7.91554i	0.0612519	−	0.268362i
$871$	27.4665	−	34.4419i	0.930667	−	1.16702i
$872$	−7.06893	+	3.40422i	−0.239384	+	0.115281i
$873$	−0.432218	−	0.541984i	−0.0146283	−	0.0183434i
$874$	−26.2361	−	12.6347i	−0.887450	−	0.427374i
$875$	−2.37694	+	1.16195i	−0.0803554	+	0.0392812i
$876$	10.7703	−	5.18673i	0.363896	−	0.175243i
$877$	27.3923	+	13.1914i	0.924973	+	0.445444i	0.834844	−	0.550487i	$-0.185558\pi$
$877$	27.3923	+	13.1914i	0.924973	+	0.445444i	0.0901290	+	0.995930i	$0.471272\pi$
$878$	−0.0739072	−	0.323809i	−0.00249425	−	0.0109280i
$879$	−18.4450	−	8.88263i	−0.622133	−	0.299604i
$880$	1.33079	−	1.66875i	0.0448608	−	0.0562537i
$881$	1.46071			0.0492126			0.0246063	−	0.999697i	$-0.492167\pi$
$881$	1.46071			0.0492126			0.0246063	+	0.999697i	$0.492167\pi$
$882$	0.545062	−	0.270434i	0.0183532	−	0.00910599i
$883$	53.9755			1.81642			0.908211	−	0.418513i	$-0.137449\pi$
$883$	53.9755			1.81642			0.908211	+	0.418513i	$0.137449\pi$
$884$	10.4813	−	13.1432i	0.352526	−	0.442053i
$885$	−8.91404	−	4.29278i	−0.299642	−	0.144300i
$886$	5.77366	+	25.2960i	0.193970	+	0.849837i
$887$	−36.5378	−	17.5957i	−1.22682	−	0.590805i	−0.295617	−	0.955306i	$-0.595525\pi$
$887$	−36.5378	−	17.5957i	−1.22682	−	0.590805i	−0.931203	+	0.364501i	$0.881240\pi$
$888$	−4.72640	+	2.27611i	−0.158607	+	0.0763813i
$889$	−30.2555	+	0.178001i	−1.01474	+	0.00596995i
$890$	15.0660	+	7.25540i	0.505013	+	0.243201i
$891$	−12.3141	−	15.4413i	−0.412536	−	0.517304i
$892$	12.9263	−	6.22498i	0.432805	−	0.208428i
$893$	−39.1224	+	49.0579i	−1.30918	+	1.64166i
$894$	−2.39223	+	10.4810i	−0.0800081	+	0.350539i
$895$	2.79639	−	3.50656i	0.0934730	−	0.117211i
$896$	0.603900	+	2.57591i	0.0201749	+	0.0860551i
$897$	23.7787	+	29.8175i	0.793946	+	0.995577i
$898$	35.1036	−	16.9050i	1.17142	−	0.564127i
$899$	−6.32775	+	27.7237i	−0.211042	+	0.924636i
$900$	0.0869233			0.00289744
$901$	−14.7740			−0.492193
$902$	1.43975	−	6.30796i	0.0479385	−	0.210032i
$903$	−3.28558	−	14.0145i	−0.109337	−	0.466374i
$904$	0.914221	+	4.00547i	0.0304066	+	0.133220i
$905$	−5.79374	−	25.3840i	−0.192590	−	0.843793i
$906$	18.6400	+	23.3738i	0.619271	+	0.776542i
$907$	15.3825	+	19.2890i	0.510768	+	0.640482i	0.968620	−	0.248546i	$-0.0799527\pi$
$907$	15.3825	+	19.2890i	0.510768	+	0.640482i	−0.457853	+	0.889028i	$0.651381\pi$
$908$	4.25701	+	18.6512i	0.141274	+	0.618961i
$909$	−0.0857635	−	0.375754i	−0.00284460	−	0.0124630i
$910$	−14.7783	+	0.0869444i	−0.489896	+	0.00288218i
$911$	−4.07664	+	17.8609i	−0.135065	+	0.591759i	0.861413	+	0.507905i	$0.169580\pi$
$911$	−4.07664	+	17.8609i	−0.135065	+	0.591759i	−0.996478	+	0.0838535i	$0.973277\pi$
$912$	−13.1656			−0.435957
$913$	14.9759			0.495631
$914$	−0.339462	+	1.48728i	−0.0112284	+	0.0491949i
$915$	−13.7594	+	6.62616i	−0.454871	+	0.219054i
$916$	−13.2471	−	16.6113i	−0.437696	−	0.548854i
$917$	32.9980	+	40.8825i	1.08969	+	1.35006i
$918$	−9.60392	+	12.0429i	−0.316977	+	0.397476i
$919$	−0.471523	+	2.06588i	−0.0155541	+	0.0681470i	−0.982109	−	0.188311i	$-0.939699\pi$
$919$	−0.471523	+	2.06588i	−0.0155541	+	0.0681470i	0.966555	+	0.256458i	$0.0825557\pi$
$920$	2.42293	−	3.03826i	0.0798817	−	0.100168i
$921$	−51.4399	+	24.7721i	−1.69500	+	0.816270i
$922$	−6.46272	−	8.10400i	−0.212838	−	0.266891i
$923$	−46.4327	−	22.3608i	−1.52835	−	0.736016i
$924$	−6.14040	+	7.79344i	−0.202004	+	0.256385i
$925$	−2.69009	+	1.29548i	−0.0884497	+	0.0425951i
$926$	−12.8074	−	6.16770i	−0.420876	−	0.202683i
$927$	−0.0889439	−	0.389689i	−0.00292130	−	0.0127991i
$928$	−4.16347	−	2.00502i	−0.136672	−	0.0658180i
$929$	−29.5837	+	37.0968i	−0.970610	+	1.21711i	0.00553481	+	0.999985i	$0.498238\pi$
$929$	−29.5837	+	37.0968i	−0.970610	+	1.21711i	−0.976145	+	0.217121i	$0.930333\pi$
$930$	−10.8117			−0.354531
$931$	−46.9881	+	23.3133i	−1.53997	+	0.764063i
$932$	−8.02881			−0.262992
$933$	2.78874	−	3.49697i	0.0912992	−	0.114486i
$934$	12.3725	+	5.95828i	0.404840	+	0.194961i
$935$	−1.42940	−	6.26262i	−0.0467464	−	0.204809i
$936$	0.437451	+	0.210665i	0.0142985	+	0.00688581i
$937$	3.53821	−	1.70391i	0.115588	−	0.0556643i	−0.375196	−	0.926945i	$-0.622425\pi$
$937$	3.53821	−	1.70391i	0.115588	−	0.0556643i	0.490784	+	0.871281i	$0.336710\pi$
$938$	18.8526	+	8.94267i	0.615558	+	0.291989i
$939$	−26.0708	−	12.5550i	−0.850787	−	0.409717i
$940$	−5.22092	−	6.54683i	−0.170288	−	0.213534i
$941$	6.44177	−	3.10219i	0.209996	−	0.101129i	−0.325929	−	0.945394i	$-0.605677\pi$
$941$	6.44177	−	3.10219i	0.209996	−	0.101129i	0.535925	+	0.844265i	$0.319963\pi$
$942$	−2.22219	+	2.78654i	−0.0724028	+	0.0907903i
$943$	2.62132	−	11.4848i	0.0853620	−	0.373995i
$944$	−3.51100	+	4.40266i	−0.114273	+	0.143294i
$945$	13.5412	−	0.0796660i	0.440494	−	0.00259154i
$946$	4.12091	+	5.16745i	0.133982	+	0.168008i
$947$	−3.75165	+	1.80670i	−0.121912	+	0.0587099i	−0.493846	−	0.869550i	$-0.664409\pi$
$947$	−3.75165	+	1.80670i	−0.121912	+	0.0587099i	0.371933	+	0.928259i	$0.378695\pi$
$948$	−2.51352	+	11.0125i	−0.0816354	+	0.357668i
$949$	38.0050			1.23369
$950$	−7.49339			−0.243118
$951$	−5.33372	+	23.3685i	−0.172958	+	0.757777i
$952$	7.19423	+	3.41256i	0.233166	+	0.110602i
$953$	−8.23848	−	36.0951i	−0.266871	−	1.16924i	−0.913631	−	0.406544i	$-0.866734\pi$
$953$	−8.23848	−	36.0951i	−0.266871	−	1.16924i	0.646761	−	0.762693i	$-0.276123\pi$
$954$	−0.0949511	−	0.416008i	−0.00307415	−	0.0134688i
$955$	1.28449	+	1.61070i	0.0415652	+	0.0521211i
$956$	−8.83501	−	11.0788i	−0.285745	−	0.358313i
$957$	−3.85619	−	16.8951i	−0.124653	−	0.546140i
$958$	−0.0271845	−	0.119103i	−0.000878292	−	0.00384805i
$959$	12.0565	+	14.9373i	0.389326	+	0.482351i
$960$	0.390961	−	1.71291i	0.0126182	−	0.0552840i
$961$	6.86745			0.221531
$962$	−16.6779			−0.537716
$963$	−0.230766	+	1.01105i	−0.00743633	+	0.0325807i
$964$	21.4330	−	10.3216i	0.690309	−	0.332435i
$965$	−16.0894	−	20.1755i	−0.517937	−	0.649472i
$966$	−11.1797	+	14.1893i	−0.359701	+	0.456534i
$967$	13.5128	−	16.9445i	0.434541	−	0.544898i	−0.515554	−	0.856857i	$-0.672414\pi$
$967$	13.5128	−	16.9445i	0.434541	−	0.544898i	0.950095	+	0.311959i	$0.100985\pi$
$968$	−1.43399	+	6.28270i	−0.0460900	+	0.201934i
$969$	−24.7044	+	30.9784i	−0.793621	+	0.995169i
$970$	−7.18533	+	3.46027i	−0.230707	+	0.111103i
$971$	−7.50378	−	9.40944i	−0.240808	−	0.301963i	0.646711	−	0.762735i	$-0.276144\pi$
$971$	−7.50378	−	9.40944i	−0.240808	−	0.301963i	−0.887519	+	0.460772i	$0.847573\pi$
$972$	−0.813621	−	0.391819i	−0.0260969	−	0.0125676i
$973$	−11.5777	+	52.1371i	−0.371163	+	1.67144i
$974$	23.4466	−	11.2913i	0.751277	−	0.361796i
$975$	8.84211	+	4.25814i	0.283174	+	0.136370i
$976$	1.93418	+	8.47419i	0.0619116	+	0.271252i
$977$	−37.6799	−	18.1457i	−1.20549	−	0.580531i	−0.280251	−	0.959927i	$-0.590418\pi$
$977$	−37.6799	−	18.1457i	−1.20549	−	0.580531i	−0.925234	+	0.379396i	$0.876132\pi$
$978$	9.62764	−	12.0727i	0.307858	−	0.386042i
$979$	35.6917			1.14071
$980$	−1.63784	−	6.80570i	−0.0523188	−	0.217400i
$981$	−0.681993			−0.0217744
$982$	−21.6680	+	27.1708i	−0.691454	+	0.867056i
$983$	38.7153	+	18.6443i	1.23483	+	0.594661i	0.933403	−	0.358830i	$-0.116824\pi$
$983$	38.7153	+	18.6443i	1.23483	+	0.594661i	0.301422	+	0.953491i	$0.402539\pi$
$984$	−1.18515	−	5.19246i	−0.0377810	−	0.165530i
$985$	−15.9508	−	7.68152i	−0.508236	−	0.244754i
$986$	−12.5302	+	6.03424i	−0.399044	+	0.192170i
$987$	24.4480	+	30.2896i	0.778189	+	0.964127i
$988$	−37.7113	−	18.1608i	−1.19976	−	0.577772i
$989$	7.50284	+	9.40826i	0.238576	+	0.299165i
$990$	0.167157	−	0.0804986i	0.00531260	−	0.00255841i
$991$	−2.51707	+	3.15630i	−0.0799573	+	0.100263i	−0.820201	−	0.572075i	$-0.806139\pi$
$991$	−2.51707	+	3.15630i	−0.0799573	+	0.100263i	0.740244	+	0.672338i	$0.234710\pi$
$992$	−1.36932	+	5.99937i	−0.0434758	+	0.190480i
$993$	35.8160	−	44.9118i	1.13659	−	1.42523i
$994$	5.29179	−	23.8302i	0.167845	−	0.755848i
$995$	11.1612	+	13.9957i	0.353834	+	0.443693i
$996$	11.1068	−	5.34874i	0.351931	−	0.169481i
$997$	10.9629	−	48.0316i	0.347199	−	1.52118i	−0.436311	−	0.899796i	$-0.643715\pi$
$997$	10.9629	−	48.0316i	0.347199	−	1.52118i	0.783509	−	0.621380i	$-0.213428\pi$
$998$	−14.4290			−0.456741
$999$	15.2817			0.483492

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	490.2.k.f.141.3	✓	24
49.8	even	7	inner	490.2.k.f.351.3	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
490.2.k.f.141.3	✓	24	1.1	even	1	trivial
490.2.k.f.351.3	yes	24	49.8	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:	\( N \)	\(=\)	\( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	490.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.623490 + 0.781831i) q^{2} +(1.58297 + 0.762318i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.900969 - 0.433884i) q^{5} +(-1.58297 + 0.762318i) q^{6} +(-0.603900 - 2.57591i) q^{7} +(0.900969 + 0.433884i) q^{8} +(0.0541958 + 0.0679593i) q^{9} +O(q^{10})\)	\(q+(-0.623490 + 0.781831i) q^{2} +(1.58297 + 0.762318i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.900969 - 0.433884i) q^{5} +(-1.58297 + 0.762318i) q^{6} +(-0.603900 - 2.57591i) q^{7} +(0.900969 + 0.433884i) q^{8} +(0.0541958 + 0.0679593i) q^{9} +(0.900969 - 0.433884i) q^{10} +(1.33079 - 1.66875i) q^{11} +(0.390961 - 1.71291i) q^{12} +(3.48267 - 4.36713i) q^{13} +(2.39045 + 1.13390i) q^{14} +(-1.09545 - 1.37365i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-0.669692 + 2.93411i) q^{17} -0.0869233 q^{18} +7.49339 q^{19} +(-0.222521 + 0.974928i) q^{20} +(1.00771 - 4.53795i) q^{21} +(0.474952 + 2.08090i) q^{22} +(0.864734 + 3.78865i) q^{23} +(1.09545 + 1.37365i) q^{24} +(0.623490 + 0.781831i) q^{25} +(1.24295 + 5.44573i) q^{26} +(-1.13890 - 4.98985i) q^{27} +(-2.37694 + 1.16195i) q^{28} +(1.02829 - 4.50524i) q^{29} +1.75696 q^{30} -6.15365 q^{31} +(0.222521 - 0.974928i) q^{32} +(3.37872 - 1.62710i) q^{33} +(-1.87644 - 2.35298i) q^{34} +(-0.573550 + 2.58284i) q^{35} +(0.0541958 - 0.0679593i) q^{36} +(-0.664398 + 2.91092i) q^{37} +(-4.67205 + 5.85857i) q^{38} +(8.84211 - 4.25814i) q^{39} +(-0.623490 - 0.781831i) q^{40} +(-2.73116 - 1.31526i) q^{41} +(2.91962 + 3.61722i) q^{42} +(2.78994 - 1.34356i) q^{43} +(-1.92304 - 0.926088i) q^{44} +(-0.0193422 - 0.0847439i) q^{45} +(-3.50124 - 1.68611i) q^{46} +(-5.22092 + 6.54683i) q^{47} -1.75696 q^{48} +(-6.27061 + 3.11118i) q^{49} -1.00000 q^{50} +(-3.29683 + 4.13409i) q^{51} +(-5.03261 - 2.42358i) q^{52} +(1.09236 + 4.78592i) q^{53} +(4.61131 + 2.22069i) q^{54} +(-1.92304 + 0.926088i) q^{55} +(0.573550 - 2.58284i) q^{56} +(11.8618 + 5.71235i) q^{57} +(2.88121 + 3.61292i) q^{58} +(5.07355 - 2.44329i) q^{59} +(-1.09545 + 1.37365i) q^{60} +(1.93418 - 8.47419i) q^{61} +(3.83674 - 4.81112i) q^{62} +(0.142328 - 0.180644i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-5.03261 + 2.42358i) q^{65} +(-0.834474 + 3.65607i) q^{66} +7.88661 q^{67} +3.00957 q^{68} +(-1.51931 + 6.65652i) q^{69} +(-1.66174 - 2.05879i) q^{70} +(-2.05306 - 8.99505i) q^{71} +(0.0193422 + 0.0847439i) q^{72} +(4.24215 + 5.31949i) q^{73} +(-1.86160 - 2.33438i) q^{74} +(0.390961 + 1.71291i) q^{75} +(-1.66744 - 7.30551i) q^{76} +(-5.10222 - 2.42022i) q^{77} +(-2.18382 + 9.56795i) q^{78} -6.42908 q^{79} +1.00000 q^{80} +(2.05903 - 9.02122i) q^{81} +(2.73116 - 1.31526i) q^{82} +(4.37466 + 5.48565i) q^{83} +(-4.64841 + 0.0273477i) q^{84} +(1.87644 - 2.35298i) q^{85} +(-0.689057 + 3.01896i) q^{86} +(5.06218 - 6.34777i) q^{87} +(1.92304 - 0.926088i) q^{88} +(10.4260 + 13.0738i) q^{89} +(0.0783151 + 0.0377146i) q^{90} +(-13.3525 - 6.33374i) q^{91} +(3.50124 - 1.68611i) q^{92} +(-9.74105 - 4.69104i) q^{93} +(-1.86332 - 8.16376i) q^{94} +(-6.75131 - 3.25126i) q^{95} +(1.09545 - 1.37365i) q^{96} -7.97512 q^{97} +(1.47724 - 6.84235i) q^{98} +0.185530 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 4 q^{2} + 6 q^{3} - 4 q^{4} - 4 q^{5} - 6 q^{6} + 4 q^{8} + 2 q^{9}+O(q^{10}) \) 24 * q + 4 * q^2 + 6 * q^3 - 4 * q^4 - 4 * q^5 - 6 * q^6 + 4 * q^8 + 2 * q^9	\( 24 q + 4 q^{2} + 6 q^{3} - 4 q^{4} - 4 q^{5} - 6 q^{6} + 4 q^{8} + 2 q^{9} + 4 q^{10} - q^{11} - q^{12} + 15 q^{13} + 7 q^{14} - q^{15} - 4 q^{16} - 9 q^{17} - 16 q^{18} + 20 q^{19} - 4 q^{20} + 15 q^{22} - 19 q^{23} + q^{24} - 4 q^{25} - q^{26} - 18 q^{27} + 7 q^{28} - 27 q^{29} + 8 q^{30} + 28 q^{31} + 4 q^{32} - 21 q^{33} + 9 q^{34} + 2 q^{36} + q^{37} + 8 q^{38} + 11 q^{39} + 4 q^{40} - 23 q^{41} - 35 q^{42} - 18 q^{43} + 6 q^{44} - 5 q^{45} - 16 q^{46} - 46 q^{47} - 8 q^{48} - 14 q^{49} - 24 q^{50} + 11 q^{51} - 13 q^{52} + 22 q^{53} - 17 q^{54} + 6 q^{55} + 62 q^{57} - 22 q^{58} + 23 q^{59} - q^{60} - 20 q^{61} + 28 q^{62} - 35 q^{63} - 4 q^{64} - 13 q^{65} + 14 q^{66} + 16 q^{67} + 12 q^{68} + 2 q^{69} + 5 q^{71} + 5 q^{72} + 39 q^{73} - q^{74} - q^{75} - 15 q^{76} - 21 q^{77} - 39 q^{78} + 44 q^{79} + 24 q^{80} - q^{81} + 23 q^{82} - q^{83} - 9 q^{85} - 3 q^{86} + 67 q^{87} - 6 q^{88} - 21 q^{89} + 5 q^{90} - 14 q^{91} + 16 q^{92} + 16 q^{93} - 10 q^{94} + 13 q^{95} + q^{96} - 36 q^{97} - 14 q^{98} + 110 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 6 * q^3 - 4 * q^4 - 4 * q^5 - 6 * q^6 + 4 * q^8 + 2 * q^9 + 4 * q^10 - q^11 - q^12 + 15 * q^13 + 7 * q^14 - q^15 - 4 * q^16 - 9 * q^17 - 16 * q^18 + 20 * q^19 - 4 * q^20 + 15 * q^22 - 19 * q^23 + q^24 - 4 * q^25 - q^26 - 18 * q^27 + 7 * q^28 - 27 * q^29 + 8 * q^30 + 28 * q^31 + 4 * q^32 - 21 * q^33 + 9 * q^34 + 2 * q^36 + q^37 + 8 * q^38 + 11 * q^39 + 4 * q^40 - 23 * q^41 - 35 * q^42 - 18 * q^43 + 6 * q^44 - 5 * q^45 - 16 * q^46 - 46 * q^47 - 8 * q^48 - 14 * q^49 - 24 * q^50 + 11 * q^51 - 13 * q^52 + 22 * q^53 - 17 * q^54 + 6 * q^55 + 62 * q^57 - 22 * q^58 + 23 * q^59 - q^60 - 20 * q^61 + 28 * q^62 - 35 * q^63 - 4 * q^64 - 13 * q^65 + 14 * q^66 + 16 * q^67 + 12 * q^68 + 2 * q^69 + 5 * q^71 + 5 * q^72 + 39 * q^73 - q^74 - q^75 - 15 * q^76 - 21 * q^77 - 39 * q^78 + 44 * q^79 + 24 * q^80 - q^81 + 23 * q^82 - q^83 - 9 * q^85 - 3 * q^86 + 67 * q^87 - 6 * q^88 - 21 * q^89 + 5 * q^90 - 14 * q^91 + 16 * q^92 + 16 * q^93 - 10 * q^94 + 13 * q^95 + q^96 - 36 * q^97 - 14 * q^98 + 110 * q^99

Introduction

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