LMFDB - Embedded newform 175.2.h.b.141.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [175,2,Mod(36,175)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(175, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("175.36");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 175 = 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	175.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:	$1.39738203537$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			141.2
Character	$\chi$	$=$	175.141
Dual form			175.2.h.b.36.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28672 - 0.934859i) q^{2} +(-0.306518 - 0.943364i) q^{3} +(0.163661 + 0.503697i) q^{4} +(-1.08759 - 1.95375i) q^{5} +(-0.487509 + 1.50040i) q^{6} -1.00000 q^{7} +(-0.722670 + 2.22415i) q^{8} +(1.63107 - 1.18504i) q^{9} +O(q^{10})$	\(q+(-1.28672 - 0.934859i) q^{2} +(-0.306518 - 0.943364i) q^{3} +(0.163661 + 0.503697i) q^{4} +(-1.08759 - 1.95375i) q^{5} +(-0.487509 + 1.50040i) q^{6} -1.00000 q^{7} +(-0.722670 + 2.22415i) q^{8} +(1.63107 - 1.18504i) q^{9} +(-0.427058 + 3.53068i) q^{10} +(-1.10707 - 0.804334i) q^{11} +(0.425005 - 0.308784i) q^{12} +(-4.99572 + 3.62960i) q^{13} +(1.28672 + 0.934859i) q^{14} +(-1.50974 + 1.62485i) q^{15} +(3.86608 - 2.80887i) q^{16} +(1.29518 - 3.98615i) q^{17} -3.20658 q^{18} +(-1.25582 + 3.86503i) q^{19} +(0.806104 - 0.867569i) q^{20} +(0.306518 + 0.943364i) q^{21} +(0.672555 + 2.06991i) q^{22} +(-2.37002 - 1.72192i) q^{23} +2.31969 q^{24} +(-2.63430 + 4.24976i) q^{25} +9.82128 q^{26} +(-4.02530 - 2.92455i) q^{27} +(-0.163661 - 0.503697i) q^{28} +(-1.94276 - 5.97919i) q^{29} +(3.46162 - 0.679345i) q^{30} +(0.590842 - 1.81842i) q^{31} -2.92326 q^{32} +(-0.419443 + 1.29091i) q^{33} +(-5.39303 + 3.91826i) q^{34} +(1.08759 + 1.95375i) q^{35} +(0.863843 + 0.627619i) q^{36} +(9.38622 - 6.81949i) q^{37} +(5.22915 - 3.79920i) q^{38} +(4.95531 + 3.60025i) q^{39} +(5.13141 - 1.00704i) q^{40} +(2.65111 - 1.92615i) q^{41} +(0.487509 - 1.50040i) q^{42} +5.62950 q^{43} +(0.223956 - 0.689267i) q^{44} +(-4.08921 - 1.89787i) q^{45} +(1.43981 + 4.43128i) q^{46} +(-3.21961 - 9.90893i) q^{47} +(-3.83481 - 2.78616i) q^{48} +1.00000 q^{49} +(7.36254 - 3.00556i) q^{50} -4.15739 q^{51} +(-2.64583 - 1.92230i) q^{52} +(-1.45717 - 4.48472i) q^{53} +(2.44540 + 7.52617i) q^{54} +(-0.367433 + 3.03773i) q^{55} +(0.722670 - 2.22415i) q^{56} +4.03106 q^{57} +(-3.08991 + 9.50976i) q^{58} +(0.474223 - 0.344543i) q^{59} +(-1.06552 - 0.494524i) q^{60} +(-9.79413 - 7.11585i) q^{61} +(-2.46022 + 1.78745i) q^{62} +(-1.63107 + 1.18504i) q^{63} +(-3.97074 - 2.88491i) q^{64} +(12.5246 + 5.81289i) q^{65} +(1.74653 - 1.26893i) q^{66} +(-2.48213 + 7.63921i) q^{67} +2.21978 q^{68} +(-0.897947 + 2.76360i) q^{69} +(0.427058 - 3.53068i) q^{70} +(2.86670 + 8.82278i) q^{71} +(1.45698 + 4.48413i) q^{72} +(2.15142 + 1.56310i) q^{73} -18.4527 q^{74} +(4.81653 + 1.18248i) q^{75} -2.15233 q^{76} +(1.10707 + 0.804334i) q^{77} +(-3.01039 - 9.26504i) q^{78} +(0.450117 + 1.38532i) q^{79} +(-9.69255 - 4.49847i) q^{80} +(0.343946 - 1.05856i) q^{81} -5.21192 q^{82} +(-4.54964 + 14.0024i) q^{83} +(-0.425005 + 0.308784i) q^{84} +(-9.19658 + 1.80483i) q^{85} +(-7.24361 - 5.26279i) q^{86} +(-5.04506 + 3.66545i) q^{87} +(2.58901 - 1.88102i) q^{88} +(5.37969 + 3.90858i) q^{89} +(3.48744 + 6.26486i) q^{90} +(4.99572 - 3.62960i) q^{91} +(0.479447 - 1.47559i) q^{92} -1.89654 q^{93} +(-5.12071 + 15.7599i) q^{94} +(8.91713 - 1.74999i) q^{95} +(0.896032 + 2.75770i) q^{96} +(-0.947571 - 2.91632i) q^{97} +(-1.28672 - 0.934859i) q^{98} -2.75888 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q + 6 q^{2} + 4 q^{3} - 6 q^{4} + 8 q^{5} - 15 q^{6} - 28 q^{7} - 2 q^{8} - 5 q^{9}+O(q^{10}) $ 28 * q + 6 * q^2 + 4 * q^3 - 6 * q^4 + 8 * q^5 - 15 * q^6 - 28 * q^7 - 2 * q^8 - 5 * q^9	\( 28 q + 6 q^{2} + 4 q^{3} - 6 q^{4} + 8 q^{5} - 15 q^{6} - 28 q^{7} - 2 q^{8} - 5 q^{9} - 4 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 6 q^{14} - 9 q^{15} + 16 q^{16} + 14 q^{17} - 62 q^{18} + 22 q^{19} + 20 q^{20} - 4 q^{21} + 7 q^{22} + 21 q^{23} + 38 q^{24} + 8 q^{25} - 8 q^{26} - 11 q^{27} + 6 q^{28} - 37 q^{29} + 8 q^{30} - q^{31} - 48 q^{32} + 17 q^{33} - 10 q^{34} - 8 q^{35} - 41 q^{36} + 25 q^{37} + 15 q^{38} + 24 q^{39} + 39 q^{40} + 10 q^{41} + 15 q^{42} - 18 q^{43} + 65 q^{44} + 32 q^{45} + 26 q^{46} + 54 q^{47} + 69 q^{48} + 28 q^{49} - 49 q^{50} + 2 q^{51} - 54 q^{52} - 24 q^{53} - 14 q^{54} - 46 q^{55} + 2 q^{56} - 62 q^{57} + 17 q^{58} - 19 q^{59} - 6 q^{60} - 48 q^{61} - 42 q^{62} + 5 q^{63} - 20 q^{64} + 5 q^{65} + 91 q^{66} + 11 q^{67} - 114 q^{68} + 31 q^{69} + 4 q^{70} + 12 q^{71} + 20 q^{72} - 2 q^{73} + 70 q^{74} - 24 q^{75} - 6 q^{76} + 8 q^{77} + 59 q^{78} - 72 q^{79} - 8 q^{80} - 10 q^{81} - 26 q^{82} - 34 q^{83} + 8 q^{84} + 40 q^{85} - 60 q^{86} + 20 q^{87} + 32 q^{88} + 3 q^{89} - 32 q^{90} + 8 q^{91} + 10 q^{92} - 96 q^{93} + 12 q^{94} + 71 q^{95} + 22 q^{96} + 22 q^{97} + 6 q^{98} + 62 q^{99}+O(q^{100}) \) 28 * q + 6 * q^2 + 4 * q^3 - 6 * q^4 + 8 * q^5 - 15 * q^6 - 28 * q^7 - 2 * q^8 - 5 * q^9 - 4 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 6 * q^14 - 9 * q^15 + 16 * q^16 + 14 * q^17 - 62 * q^18 + 22 * q^19 + 20 * q^20 - 4 * q^21 + 7 * q^22 + 21 * q^23 + 38 * q^24 + 8 * q^25 - 8 * q^26 - 11 * q^27 + 6 * q^28 - 37 * q^29 + 8 * q^30 - q^31 - 48 * q^32 + 17 * q^33 - 10 * q^34 - 8 * q^35 - 41 * q^36 + 25 * q^37 + 15 * q^38 + 24 * q^39 + 39 * q^40 + 10 * q^41 + 15 * q^42 - 18 * q^43 + 65 * q^44 + 32 * q^45 + 26 * q^46 + 54 * q^47 + 69 * q^48 + 28 * q^49 - 49 * q^50 + 2 * q^51 - 54 * q^52 - 24 * q^53 - 14 * q^54 - 46 * q^55 + 2 * q^56 - 62 * q^57 + 17 * q^58 - 19 * q^59 - 6 * q^60 - 48 * q^61 - 42 * q^62 + 5 * q^63 - 20 * q^64 + 5 * q^65 + 91 * q^66 + 11 * q^67 - 114 * q^68 + 31 * q^69 + 4 * q^70 + 12 * q^71 + 20 * q^72 - 2 * q^73 + 70 * q^74 - 24 * q^75 - 6 * q^76 + 8 * q^77 + 59 * q^78 - 72 * q^79 - 8 * q^80 - 10 * q^81 - 26 * q^82 - 34 * q^83 + 8 * q^84 + 40 * q^85 - 60 * q^86 + 20 * q^87 + 32 * q^88 + 3 * q^89 - 32 * q^90 + 8 * q^91 + 10 * q^92 - 96 * q^93 + 12 * q^94 + 71 * q^95 + 22 * q^96 + 22 * q^97 + 6 * q^98 + 62 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

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

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 $

$2$	−1.28672	−	0.934859i	−0.909851	−	0.661045i	0.0311264	−	0.999515i	$-0.490091\pi$
$2$	−1.28672	−	0.934859i	−0.909851	−	0.661045i	−0.940977	+	0.338470i	$0.890091\pi$
$3$	−0.306518	−	0.943364i	−0.176968	−	0.544652i	0.822750	−	0.568404i	$-0.192439\pi$
$3$	−0.306518	−	0.943364i	−0.176968	−	0.544652i	−0.999718	+	0.0237520i	$0.992439\pi$
$4$	0.163661	+	0.503697i	0.0818305	+	0.251849i
$5$	−1.08759	−	1.95375i	−0.486384	−	0.873745i
$5$	−1.08759	−	1.95375i	−0.486384	−	0.873745i
$6$	−0.487509	+	1.50040i	−0.199025	+	0.612536i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	−0.722670	+	2.22415i	−0.255502	+	0.786355i
$9$	1.63107	−	1.18504i	0.543689	−	0.395013i
$10$	−0.427058	+	3.53068i	−0.135048	+	1.11650i
$11$	−1.10707	−	0.804334i	−0.333794	−	0.242516i	0.408244	−	0.912873i	$-0.366141\pi$
$11$	−1.10707	−	0.804334i	−0.333794	−	0.242516i	−0.742039	+	0.670357i	$0.766141\pi$
$12$	0.425005	−	0.308784i	0.122688	−	0.0891383i
$13$	−4.99572	+	3.62960i	−1.38556	+	1.00667i	−0.389228	+	0.921142i	$0.627258\pi$
$13$	−4.99572	+	3.62960i	−1.38556	+	1.00667i	−0.996336	+	0.0855290i	$0.972742\pi$
$14$	1.28672	+	0.934859i	0.343891	+	0.249852i
$15$	−1.50974	+	1.62485i	−0.389812	+	0.419535i
$16$	3.86608	−	2.80887i	0.966521	−	0.702218i
$17$	1.29518	−	3.98615i	0.314127	−	0.966784i	−0.661985	−	0.749517i	$-0.730286\pi$
$17$	1.29518	−	3.98615i	0.314127	−	0.966784i	0.976112	−	0.217267i	$-0.0697142\pi$
$18$	−3.20658			−0.755798
$19$	−1.25582	+	3.86503i	−0.288106	+	0.886698i	0.697345	+	0.716736i	$0.254365\pi$
$19$	−1.25582	+	3.86503i	−0.288106	+	0.886698i	−0.985451	+	0.169962i	$0.945635\pi$
$20$	0.806104	−	0.867569i	0.180250	−	0.193994i
$21$	0.306518	+	0.943364i	0.0668876	+	0.205859i
$22$	0.672555	+	2.06991i	0.143389	+	0.441307i
$23$	−2.37002	−	1.72192i	−0.494184	−	0.359046i	0.312607	−	0.949883i	$-0.398798\pi$
$23$	−2.37002	−	1.72192i	−0.494184	−	0.359046i	−0.806791	+	0.590837i	$0.798798\pi$
$24$	2.31969			0.473506
$25$	−2.63430	+	4.24976i	−0.526860	+	0.849952i
$26$	9.82128			1.92611
$27$	−4.02530	−	2.92455i	−0.774669	−	0.562830i
$28$	−0.163661	−	0.503697i	−0.0309290	−	0.0951898i
$29$	−1.94276	−	5.97919i	−0.360761	−	1.11031i	−0.952593	−	0.304246i	$-0.901595\pi$
$29$	−1.94276	−	5.97919i	−0.360761	−	1.11031i	0.591833	−	0.806061i	$-0.298405\pi$
$30$	3.46162	−	0.679345i	0.632003	−	0.124031i
$31$	0.590842	−	1.81842i	0.106118	−	0.326598i	−0.883873	−	0.467727i	$-0.845073\pi$
$31$	0.590842	−	1.81842i	0.106118	−	0.326598i	0.989991	+	0.141128i	$0.0450731\pi$
$32$	−2.92326			−0.516765
$33$	−0.419443	+	1.29091i	−0.0730157	+	0.224719i
$34$	−5.39303	+	3.91826i	−0.924897	+	0.671977i
$35$	1.08759	+	1.95375i	0.183836	+	0.330245i
$36$	0.863843	+	0.627619i	0.143974	+	0.104603i
$37$	9.38622	−	6.81949i	1.54309	−	1.12112i	0.594722	−	0.803931i	$-0.297262\pi$
$37$	9.38622	−	6.81949i	1.54309	−	1.12112i	0.948363	−	0.317186i	$-0.102738\pi$
$38$	5.22915	−	3.79920i	0.848281	−	0.616312i
$39$	4.95531	+	3.60025i	0.793485	+	0.576501i
$40$	5.13141	−	1.00704i	0.811346	−	0.159227i
$41$	2.65111	−	1.92615i	0.414034	−	0.300813i	−0.361199	−	0.932489i	$-0.617632\pi$
$41$	2.65111	−	1.92615i	0.414034	−	0.300813i	0.775233	+	0.631675i	$0.217632\pi$
$42$	0.487509	−	1.50040i	0.0752243	−	0.231517i
$43$	5.62950			0.858491			0.429246	−	0.903188i	$-0.358779\pi$
$43$	5.62950			0.858491			0.429246	+	0.903188i	$0.358779\pi$
$44$	0.223956	−	0.689267i	0.0337627	−	0.103911i
$45$	−4.08921	−	1.89787i	−0.609583	−	0.282917i
$46$	1.43981	+	4.43128i	0.212288	+	0.653356i
$47$	−3.21961	−	9.90893i	−0.469628	−	1.44537i	−0.853068	−	0.521800i	$-0.825261\pi$
$47$	−3.21961	−	9.90893i	−0.469628	−	1.44537i	0.383440	−	0.923566i	$-0.374739\pi$
$48$	−3.83481	−	2.78616i	−0.553508	−	0.402147i
$49$	1.00000			0.142857
$50$	7.36254	−	3.00556i	1.04122	−	0.425051i
$51$	−4.15739			−0.582151
$52$	−2.64583	−	1.92230i	−0.366910	−	0.266576i
$53$	−1.45717	−	4.48472i	−0.200158	−	0.616023i	−0.999878	−	0.0156495i	$-0.995018\pi$
$53$	−1.45717	−	4.48472i	−0.200158	−	0.616023i	0.799719	−	0.600374i	$-0.204982\pi$
$54$	2.44540	+	7.52617i	0.332777	+	1.02418i
$55$	−0.367433	+	3.03773i	−0.0495446	+	0.409607i
$56$	0.722670	−	2.22415i	0.0965708	−	0.297214i
$57$	4.03106			0.533927
$58$	−3.08991	+	9.50976i	−0.405725	+	1.24869i
$59$	0.474223	−	0.344543i	0.0617386	−	0.0448557i	−0.556488	−	0.830856i	$-0.687851\pi$
$59$	0.474223	−	0.344543i	0.0617386	−	0.0448557i	0.618226	+	0.786000i	$0.287851\pi$
$60$	−1.06552	−	0.494524i	−0.137558	−	0.0638428i
$61$	−9.79413	−	7.11585i	−1.25401	−	0.911091i	−0.255562	−	0.966793i	$-0.582261\pi$
$61$	−9.79413	−	7.11585i	−1.25401	−	0.911091i	−0.998447	+	0.0557013i	$0.982261\pi$
$62$	−2.46022	+	1.78745i	−0.312448	+	0.227007i
$63$	−1.63107	+	1.18504i	−0.205495	+	0.149301i
$64$	−3.97074	−	2.88491i	−0.496342	−	0.360614i
$65$	12.5246	+	5.81289i	1.55349	+	0.721000i
$66$	1.74653	−	1.26893i	0.214983	−	0.156194i
$67$	−2.48213	+	7.63921i	−0.303240	+	0.933278i	0.677088	+	0.735902i	$0.263242\pi$
$67$	−2.48213	+	7.63921i	−0.303240	+	0.933278i	−0.980328	+	0.197375i	$0.936758\pi$
$68$	2.21978			0.269188
$69$	−0.897947	+	2.76360i	−0.108100	+	0.332698i
$70$	0.427058	−	3.53068i	0.0510432	−	0.421997i
$71$	2.86670	+	8.82278i	0.340214	+	1.04707i	0.964096	+	0.265553i	$0.0855545\pi$
$71$	2.86670	+	8.82278i	0.340214	+	1.04707i	−0.623882	+	0.781518i	$0.714445\pi$
$72$	1.45698	+	4.48413i	0.171707	+	0.528460i
$73$	2.15142	+	1.56310i	0.251804	+	0.182946i	0.706526	−	0.707687i	$-0.250261\pi$
$73$	2.15142	+	1.56310i	0.251804	+	0.182946i	−0.454722	+	0.890634i	$0.650261\pi$
$74$	−18.4527			−2.14509
$75$	4.81653	+	1.18248i	0.556165	+	0.136541i
$76$	−2.15233			−0.246889
$77$	1.10707	+	0.804334i	0.126162	+	0.0916624i
$78$	−3.01039	−	9.26504i	−0.340860	−	1.04906i
$79$	0.450117	+	1.38532i	0.0506421	+	0.155860i	0.973179	−	0.230048i	$-0.0738882\pi$
$79$	0.450117	+	1.38532i	0.0506421	+	0.155860i	−0.922537	+	0.385908i	$0.873888\pi$
$80$	−9.69255	−	4.49847i	−1.08366	−	0.502944i
$81$	0.343946	−	1.05856i	0.0382162	−	0.117617i
$82$	−5.21192			−0.575561
$83$	−4.54964	+	14.0024i	−0.499388	+	1.53696i	0.310616	+	0.950535i	$0.399465\pi$
$83$	−4.54964	+	14.0024i	−0.499388	+	1.53696i	−0.810004	+	0.586424i	$0.800535\pi$
$84$	−0.425005	+	0.308784i	−0.0463718	+	0.0336911i
$85$	−9.19658	+	1.80483i	−0.997509	+	0.195762i
$86$	−7.24361	−	5.26279i	−0.781099	−	0.567502i
$87$	−5.04506	+	3.66545i	−0.540888	+	0.392978i
$88$	2.58901	−	1.88102i	0.275989	−	0.200518i
$89$	5.37969	+	3.90858i	0.570246	+	0.414308i	0.835195	−	0.549954i	$-0.185355\pi$
$89$	5.37969	+	3.90858i	0.570246	+	0.414308i	−0.264948	+	0.964263i	$0.585355\pi$
$90$	3.48744	+	6.26486i	0.367608	+	0.660374i
$91$	4.99572	−	3.62960i	0.523694	−	0.380486i
$92$	0.479447	−	1.47559i	0.0499858	−	0.153840i
$93$	−1.89654			−0.196662
$94$	−5.12071	+	15.7599i	−0.528161	+	1.62551i
$95$	8.91713	−	1.74999i	0.914878	−	0.179545i
$96$	0.896032	+	2.75770i	0.0914508	+	0.281457i
$97$	−0.947571	−	2.91632i	−0.0962113	−	0.296108i	0.891356	−	0.453304i	$-0.149755\pi$
$97$	−0.947571	−	2.91632i	−0.0962113	−	0.296108i	−0.987567	+	0.157196i	$0.949755\pi$
$98$	−1.28672	−	0.934859i	−0.129979	−	0.0944350i
$99$	−2.75888			−0.277277
$100$	−2.57172	−	0.631370i	−0.257172	−	0.0631370i
$101$	−8.13698			−0.809660			−0.404830	−	0.914392i	$-0.632669\pi$
$101$	−8.13698			−0.809660			−0.404830	+	0.914392i	$0.632669\pi$
$102$	5.34941	+	3.88657i	0.529670	+	0.384828i
$103$	−4.63482	−	14.2645i	−0.456682	−	1.40552i	−0.869149	−	0.494550i	$-0.835333\pi$
$103$	−4.63482	−	14.2645i	−0.456682	−	1.40552i	0.412467	−	0.910973i	$-0.364667\pi$
$104$	−4.46252	−	13.7342i	−0.437586	−	1.34675i
$105$	1.50974	−	1.62485i	0.147335	−	0.158569i
$106$	−2.31760	+	7.13284i	−0.225105	+	0.692803i
$107$	−0.599745			−0.0579795			−0.0289898	−	0.999580i	$-0.509229\pi$
$107$	−0.599745			−0.0579795			−0.0289898	+	0.999580i	$0.509229\pi$
$108$	0.814302	−	2.50617i	0.0783563	−	0.241156i
$109$	7.34526	−	5.33664i	0.703548	−	0.511158i	−0.177538	−	0.984114i	$-0.556813\pi$
$109$	7.34526	−	5.33664i	0.703548	−	0.511158i	0.881086	+	0.472956i	$0.156813\pi$
$110$	3.31263	−	3.56522i	0.315847	−	0.339930i
$111$	−9.31031	−	6.76433i	−0.883695	−	0.642042i
$112$	−3.86608	+	2.80887i	−0.365310	+	0.265414i
$113$	13.7096	−	9.96059i	1.28969	−	0.937014i	0.289889	−	0.957060i	$-0.406381\pi$
$113$	13.7096	−	9.96059i	1.28969	−	0.937014i	0.999799	+	0.0200466i	$0.00638146\pi$
$114$	−5.18686	−	3.76847i	−0.485794	−	0.352950i
$115$	−0.786602	+	6.50318i	−0.0733510	+	0.606425i
$116$	2.69375	−	1.95712i	0.250108	−	0.181714i
$117$	−3.84713	+	11.8403i	−0.355667	+	1.09463i
$118$	−0.932293			−0.0858245
$119$	−1.29518	+	3.98615i	−0.118729	+	0.365410i
$120$	−2.52287	−	4.53211i	−0.230306	−	0.413723i
$121$	−2.82053	−	8.68071i	−0.256412	−	0.789156i
$122$	5.95001	+	18.3123i	0.538689	+	1.65791i
$123$	−2.62967	−	1.91057i	−0.237109	−	0.172270i
$124$	1.01263			0.0909371
$125$	11.1680	+	0.524786i	0.998898	+	0.0469383i
$126$	3.20658			0.285665
$127$	15.3606	+	11.1601i	1.36303	+	0.990299i	0.998246	+	0.0592072i	$0.0188573\pi$
$127$	15.3606	+	11.1601i	1.36303	+	0.990299i	0.364784	+	0.931092i	$0.381143\pi$
$128$	4.21893	+	12.9845i	0.372904	+	1.14768i
$129$	−1.72554	−	5.31067i	−0.151926	−	0.467579i
$130$	−10.6815	−	19.1883i	−0.936830	−	1.68293i
$131$	−0.884454	+	2.72207i	−0.0772751	+	0.237828i	−0.982231	−	0.187678i	$-0.939904\pi$
$131$	−0.884454	+	2.72207i	−0.0772751	+	0.237828i	0.904956	+	0.425506i	$0.139904\pi$
$132$	−0.718876			−0.0625701
$133$	1.25582	−	3.86503i	0.108894	−	0.335140i
$134$	10.3354	−	7.50910i	0.892842	−	0.648688i
$135$	−1.33598	+	11.0451i	−0.114983	+	0.950614i
$136$	7.92981	+	5.76134i	0.679975	+	0.494031i
$137$	5.60309	−	4.07088i	0.478704	−	0.347799i	−0.322120	−	0.946699i	$-0.604395\pi$
$137$	5.60309	−	4.07088i	0.478704	−	0.347799i	0.800824	+	0.598900i	$0.204395\pi$
$138$	3.73898	−	2.71653i	0.318283	−	0.231246i
$139$	8.57496	+	6.23007i	0.727319	+	0.528428i	0.888714	−	0.458462i	$-0.151599\pi$
$139$	8.57496	+	6.23007i	0.727319	+	0.528428i	−0.161395	+	0.986890i	$0.551599\pi$
$140$	−0.806104	+	0.867569i	−0.0681282	+	0.0733229i
$141$	−8.36087	+	6.07453i	−0.704112	+	0.511567i
$142$	4.55941	−	14.0324i	0.382618	−	1.17758i
$143$	8.45003			0.706627
$144$	2.97722	−	9.16293i	0.248101	−	0.763577i
$145$	−9.56894	+	10.2986i	−0.794657	+	0.855249i
$146$	−1.30700	−	4.02254i	−0.108168	−	0.332908i
$147$	−0.306518	−	0.943364i	−0.0252812	−	0.0778074i
$148$	4.97112	+	3.61173i	0.408623	+	0.296882i
$149$	−2.42821			−0.198927			−0.0994634	−	0.995041i	$-0.531713\pi$
$149$	−2.42821			−0.198927			−0.0994634	+	0.995041i	$0.531713\pi$
$150$	−5.09209	−	6.02430i	−0.415767	−	0.491882i
$151$	−1.10475			−0.0899031			−0.0449516	−	0.998989i	$-0.514313\pi$
$151$	−1.10475			−0.0899031			−0.0449516	+	0.998989i	$0.514313\pi$
$152$	−7.68885	−	5.58628i	−0.623648	−	0.453107i
$153$	−2.61122	−	8.03652i	−0.211105	−	0.649714i
$154$	−0.672555	−	2.06991i	−0.0541960	−	0.166798i
$155$	−4.19534	+	0.823338i	−0.336978	+	0.0661321i
$156$	−1.00244	+	3.08520i	−0.0802595	+	0.247013i
$157$	5.81742			0.464281			0.232140	−	0.972682i	$-0.425427\pi$
$157$	5.81742			0.464281			0.232140	+	0.972682i	$0.425427\pi$
$158$	0.715901	−	2.20332i	0.0569540	−	0.175287i
$159$	−3.78407	+	2.74929i	−0.300097	+	0.218033i
$160$	3.17931	+	5.71133i	0.251346	+	0.451521i
$161$	2.37002	+	1.72192i	0.186784	+	0.135707i
$162$	−1.43217	+	1.04053i	−0.112522	+	0.0817517i
$163$	−3.03746	+	2.20685i	−0.237912	+	0.172853i	−0.700353	−	0.713797i	$-0.746974\pi$
$163$	−3.03746	+	2.20685i	−0.237912	+	0.172853i	0.462440	+	0.886650i	$0.346974\pi$
$164$	1.40408	+	1.02012i	0.109640	+	0.0796582i
$165$	2.97831	−	0.584495i	0.231861	−	0.0455028i
$166$	18.9444	−	13.7639i	1.47037	−	1.06829i
$167$	2.85408	−	8.78395i	0.220855	−	0.679723i	−0.777831	−	0.628474i	$-0.783680\pi$
$167$	2.85408	−	8.78395i	0.220855	−	0.679723i	0.998686	−	0.0512486i	$-0.0163201\pi$
$168$	−2.31969			−0.178968
$169$	7.76598	−	23.9012i	0.597383	−	1.83856i
$170$	13.5207	+	6.27518i	1.03699	+	0.481285i
$171$	2.53188	+	7.79232i	0.193618	+	0.595894i
$172$	0.921331	+	2.83556i	0.0702508	+	0.216210i
$173$	5.99631	+	4.35657i	0.455891	+	0.331224i	0.791917	−	0.610629i	$-0.209083\pi$
$173$	5.99631	+	4.35657i	0.455891	+	0.331224i	−0.336026	+	0.941853i	$0.609083\pi$
$174$	9.91828			0.751903
$175$	2.63430	−	4.24976i	0.199135	−	0.321252i
$176$	−6.53930			−0.492918
$177$	−0.470387	−	0.341756i	−0.0353565	−	0.0256880i
$178$	−3.26821	−	10.0585i	−0.244963	−	0.753917i
$179$	2.79596	+	8.60507i	0.208980	+	0.643173i	0.999526	+	0.0307716i	$0.00979646\pi$
$179$	2.79596	+	8.60507i	0.208980	+	0.643173i	−0.790547	+	0.612402i	$0.790204\pi$
$180$	0.286706	−	2.37033i	0.0213698	−	0.176674i
$181$	−1.93810	+	5.96485i	−0.144058	+	0.443364i	−0.996889	−	0.0788233i	$-0.974884\pi$
$181$	−1.93810	+	5.96485i	−0.144058	+	0.443364i	0.852831	+	0.522187i	$0.174884\pi$
$182$	−9.82128			−0.728001
$183$	−3.71077	+	11.4206i	−0.274308	+	0.844233i
$184$	5.54256	−	4.02690i	0.408603	−	0.296867i
$185$	−23.5319	−	10.9216i	−1.73010	−	0.802969i
$186$	2.44032	+	1.77300i	0.178933	+	0.130002i
$187$	−4.64005	+	3.37120i	−0.339314	+	0.246526i
$188$	4.46418	−	3.24341i	0.325583	−	0.236550i
$189$	4.02530	+	2.92455i	0.292797	+	0.212730i
$190$	−13.1099	−	6.08451i	−0.951090	−	0.441416i
$191$	−14.6831	+	10.6679i	−1.06243	+	0.771903i	−0.974537	−	0.224226i	$-0.928015\pi$
$191$	−14.6831	+	10.6679i	−1.06243	+	0.771903i	−0.0878967	+	0.996130i	$0.528015\pi$
$192$	−1.50442	+	4.63013i	−0.108572	+	0.334151i
$193$	18.7214			1.34760			0.673798	−	0.738916i	$-0.264662\pi$
$193$	18.7214			1.34760			0.673798	+	0.738916i	$0.264662\pi$
$194$	−1.50709	+	4.63835i	−0.108203	+	0.333014i
$195$	1.64465	−	13.5970i	0.117776	−	0.973705i
$196$	0.163661	+	0.503697i	0.0116901	+	0.0359784i
$197$	1.47113	+	4.52767i	0.104814	+	0.322583i	0.989687	−	0.143249i	$-0.0457550\pi$
$197$	1.47113	+	4.52767i	0.104814	+	0.322583i	−0.884873	+	0.465832i	$0.845755\pi$
$198$	3.54991	+	2.57916i	0.252281	+	0.183293i
$199$	−1.01540			−0.0719796			−0.0359898	−	0.999352i	$-0.511458\pi$
$199$	−1.01540			−0.0719796			−0.0359898	+	0.999352i	$0.511458\pi$
$200$	−7.54837	−	8.93025i	−0.533750	−	0.631464i
$201$	7.96737			0.561975
$202$	10.4700	+	7.60693i	0.736670	+	0.535222i
$203$	1.94276	+	5.97919i	0.136355	+	0.419657i
$204$	−0.680403	−	2.09406i	−0.0476377	−	0.146614i
$205$	−6.64653	−	3.08476i	−0.464214	−	0.215449i
$206$	−7.37157	+	22.6874i	−0.513602	+	1.58070i
$207$	−5.90622			−0.410510
$208$	−9.11877	+	28.0647i	−0.632273	+	1.94594i
$209$	4.49906	−	3.26876i	0.311206	−	0.226105i
$210$	−3.46162	+	0.679345i	−0.238875	+	0.0468792i
$211$	−15.6841	−	11.3952i	−1.07974	−	0.784475i	−0.102100	−	0.994774i	$-0.532556\pi$
$211$	−15.6841	−	11.3952i	−1.07974	−	0.784475i	−0.977637	+	0.210299i	$0.932556\pi$
$212$	2.02046	−	1.46795i	0.138766	−	0.100819i
$213$	7.44440	−	5.40868i	0.510082	−	0.370596i
$214$	0.771705	+	0.560677i	0.0527527	+	0.0383271i
$215$	−6.12258	−	10.9987i	−0.417557	−	0.750102i
$216$	9.41359	−	6.83938i	0.640514	−	0.465361i
$217$	−0.590842	+	1.81842i	−0.0401089	+	0.123443i
$218$	−14.4403			−0.978022
$219$	0.815121	−	2.50869i	0.0550808	−	0.169521i
$220$	−1.59023	+	0.312083i	−0.107213	+	0.0210406i
$221$	7.99779	+	24.6147i	0.537990	+	1.65576i
$222$	5.65609	+	17.4077i	0.379612	+	1.16833i
$223$	16.6198	+	12.0750i	1.11294	+	0.808602i	0.983125	−	0.182936i	$-0.0585601\pi$
$223$	16.6198	+	12.0750i	1.11294	+	0.808602i	0.129820	+	0.991538i	$0.458560\pi$
$224$	2.92326			0.195319
$225$	0.739410	+	10.0534i	0.0492940	+	0.670227i
$226$	−26.9522			−1.79283
$227$	−15.2756	−	11.0984i	−1.01388	−	0.736626i	−0.0488594	−	0.998806i	$-0.515559\pi$
$227$	−15.2756	−	11.0984i	−1.01388	−	0.736626i	−0.965019	+	0.262180i	$0.915559\pi$
$228$	0.659728	+	2.03043i	0.0436915	+	0.134469i
$229$	2.10221	+	6.46993i	0.138918	+	0.427545i	0.996179	−	0.0873372i	$-0.0278357\pi$
$229$	2.10221	+	6.46993i	0.138918	+	0.427545i	−0.857261	+	0.514882i	$0.827836\pi$
$230$	7.09170	−	7.63244i	0.467613	−	0.503268i
$231$	0.419443	−	1.29091i	0.0275974	−	0.0849359i
$232$	14.7026			0.965271
$233$	−2.27703	+	7.00796i	−0.149173	+	0.459107i	−0.997524	−	0.0703271i	$-0.977596\pi$
$233$	−2.27703	+	7.00796i	−0.149173	+	0.459107i	0.848351	+	0.529434i	$0.177596\pi$
$234$	16.0192	−	11.6386i	1.04721	−	0.760839i
$235$	−15.8580	+	17.0672i	−1.03446	+	1.11334i
$236$	0.251157	+	0.182476i	0.0163489	+	0.0118782i
$237$	1.16889	−	0.849249i	0.0759276	−	0.0551646i
$238$	5.39303	−	3.91826i	0.349578	−	0.253983i
$239$	−11.4093	−	8.28933i	−0.738005	−	0.536192i	0.154081	−	0.988058i	$-0.450758\pi$
$239$	−11.4093	−	8.28933i	−0.738005	−	0.536192i	−0.892086	+	0.451866i	$0.850758\pi$
$240$	−1.27276	+	10.5225i	−0.0821563	+	0.679223i
$241$	23.3548	−	16.9683i	1.50442	−	1.09302i	0.535836	−	0.844322i	$-0.319997\pi$
$241$	23.3548	−	16.9683i	1.50442	−	1.09302i	0.968581	−	0.248700i	$-0.0800034\pi$
$242$	−4.48600	+	13.8065i	−0.288371	+	0.887514i
$243$	−16.0307			−1.02837
$244$	1.98132	−	6.09786i	0.126841	−	0.390376i
$245$	−1.08759	−	1.95375i	−0.0694835	−	0.124821i
$246$	1.59755	+	4.91674i	0.101856	+	0.313480i
$247$	−7.75477	−	23.8667i	−0.493424	−	1.51860i
$248$	3.61746	+	2.62824i	0.229709	+	0.166893i
$249$	14.6039			0.925483
$250$	−13.8795	−	11.1158i	−0.877820	−	0.703024i
$251$	7.01314			0.442666			0.221333	−	0.975198i	$-0.428959\pi$
$251$	7.01314			0.442666			0.221333	+	0.975198i	$0.428959\pi$
$252$	−0.863843	−	0.627619i	−0.0544170	−	0.0395363i
$253$	1.23878	+	3.81258i	0.0778816	+	0.239695i
$254$	−9.33167	−	28.7199i	−0.585521	−	1.80205i
$255$	4.52153	+	8.12251i	0.283149	+	0.508651i
$256$	3.67674	−	11.3158i	0.229796	−	0.707240i
$257$	−2.89490			−0.180579			−0.0902895	−	0.995916i	$-0.528779\pi$
$257$	−2.89490			−0.180579			−0.0902895	+	0.995916i	$0.528779\pi$
$258$	−2.74444	+	8.44651i	−0.170861	+	0.525857i
$259$	−9.38622	+	6.81949i	−0.583231	+	0.423742i
$260$	−0.878139	+	7.25997i	−0.0544599	+	0.450244i
$261$	−10.2543	−	7.45022i	−0.634728	−	0.461157i
$262$	3.68280	−	2.67571i	0.227524	−	0.165306i
$263$	5.32621	−	3.86972i	0.328428	−	0.238617i	−0.411335	−	0.911484i	$-0.634937\pi$
$263$	5.32621	−	3.86972i	0.328428	−	0.238617i	0.739763	+	0.672867i	$0.234937\pi$
$264$	−2.56807	−	1.86581i	−0.158054	−	0.114833i
$265$	−7.17723	+	7.72449i	−0.440894	+	0.474511i
$266$	−5.22915	+	3.79920i	−0.320620	+	0.232944i
$267$	2.03824	−	6.27306i	0.124738	−	0.383905i
$268$	−4.25407			−0.259859
$269$	−0.551992	+	1.69886i	−0.0336556	+	0.103581i	−0.966473	−	0.256768i	$-0.917342\pi$
$269$	−0.551992	+	1.69886i	−0.0336556	+	0.103581i	0.932818	+	0.360349i	$0.117342\pi$
$270$	12.0447	−	12.9631i	0.733016	−	0.788908i
$271$	−2.56399	−	7.89113i	−0.155751	−	0.479352i	0.842485	−	0.538719i	$-0.181092\pi$
$271$	−2.56399	−	7.89113i	−0.155751	−	0.479352i	−0.998236	+	0.0593672i	$0.981092\pi$
$272$	−6.18933	−	19.0488i	−0.375283	−	1.15500i
$273$	−4.95531	−	3.60025i	−0.299909	−	0.217897i
$274$	−11.0153			−0.665460
$275$	6.33459	−	2.58593i	0.381990	−	0.155937i
$276$	−1.53897			−0.0926353
$277$	−11.7866	−	8.56344i	−0.708186	−	0.514527i	0.174402	−	0.984675i	$-0.444201\pi$
$277$	−11.7866	−	8.56344i	−0.708186	−	0.514527i	−0.882588	+	0.470147i	$0.844201\pi$
$278$	−5.20936	−	16.0328i	−0.312437	−	0.961581i
$279$	−1.19120	−	3.66614i	−0.0713154	−	0.219486i
$280$	−5.13141	+	1.00704i	−0.306660	+	0.0601822i
$281$	−6.75761	+	20.7978i	−0.403126	+	1.24069i	0.519325	+	0.854577i	$0.326183\pi$
$281$	−6.75761	+	20.7978i	−0.403126	+	1.24069i	−0.922450	+	0.386116i	$0.873817\pi$
$282$	16.4370			0.978806
$283$	5.10554	−	15.7132i	0.303493	−	0.934055i	−0.676742	−	0.736220i	$-0.736609\pi$
$283$	5.10554	−	15.7132i	0.303493	−	0.934055i	0.980235	−	0.197835i	$-0.0633911\pi$
$284$	−3.97484	+	2.88789i	−0.235863	+	0.171365i
$285$	−4.38414	−	7.87570i	−0.259694	−	0.466516i
$286$	−10.8729	−	7.89959i	−0.642925	−	0.467112i
$287$	−2.65111	+	1.92615i	−0.156490	+	0.113697i
$288$	−4.76804	+	3.46418i	−0.280959	+	0.204129i
$289$	−0.458625	−	0.333211i	−0.0269780	−	0.0196006i
$290$	21.9403	−	4.30579i	1.28838	−	0.252845i
$291$	−2.46071	+	1.78781i	−0.144249	+	0.104803i
$292$	−0.435223	+	1.33948i	−0.0254695	+	0.0783871i
$293$	−12.0870			−0.706131			−0.353065	−	0.935599i	$-0.614861\pi$
$293$	−12.0870			−0.706131			−0.353065	+	0.935599i	$0.614861\pi$
$294$	−0.487509	+	1.50040i	−0.0284321	+	0.0875051i
$295$	−1.18891	−	0.551793i	−0.0692211	−	0.0321267i
$296$	8.38442	+	25.8046i	0.487335	+	1.49986i
$297$	2.10397	+	6.47537i	0.122085	+	0.375739i
$298$	3.12443	+	2.27003i	0.180994	+	0.131500i
$299$	18.0899			1.04616
$300$	0.192667	+	2.61960i	0.0111236	+	0.151243i
$301$	−5.62950			−0.324479
$302$	1.42150	+	1.03278i	0.0817984	+	0.0594300i
$303$	2.49413	+	7.67614i	0.143284	+	0.440983i
$304$	6.00126	+	18.4700i	0.344196	+	1.05933i
$305$	−3.25063	+	26.8744i	−0.186131	+	1.53883i
$306$	−4.15309	+	12.7819i	−0.237417	+	0.730693i
$307$	18.2333			1.04063			0.520316	−	0.853974i	$-0.325814\pi$
$307$	18.2333			1.04063			0.520316	+	0.853974i	$0.325814\pi$
$308$	−0.223956	+	0.689267i	−0.0127611	+	0.0392746i
$309$	−12.0360	+	8.74464i	−0.684702	+	0.497465i
$310$	6.16795	+	2.86265i	0.350316	+	0.162587i
$311$	6.95953	+	5.05639i	0.394639	+	0.286722i	0.767354	−	0.641224i	$-0.221573\pi$
$311$	6.95953	+	5.05639i	0.394639	+	0.286722i	−0.372715	+	0.927946i	$0.621573\pi$
$312$	−11.5885	+	8.41957i	−0.656072	+	0.476664i
$313$	14.3759	−	10.4447i	0.812574	−	0.590369i	−0.102002	−	0.994784i	$-0.532525\pi$
$313$	14.3759	−	10.4447i	0.812574	−	0.590369i	0.914576	+	0.404415i	$0.132525\pi$
$314$	−7.48541	−	5.43847i	−0.422426	−	0.306911i
$315$	4.08921	+	1.89787i	0.230401	+	0.106933i
$316$	−0.624114	+	0.453445i	−0.0351092	+	0.0255083i
$317$	−3.66044	+	11.2657i	−0.205591	+	0.632744i	0.794098	+	0.607790i	$0.207944\pi$
$317$	−3.66044	+	11.2657i	−0.205591	+	0.632744i	−0.999689	+	0.0249535i	$0.992056\pi$
$318$	7.43926			0.417173
$319$	−2.65850	+	8.18201i	−0.148847	+	0.458105i
$320$	−1.31787	+	10.8954i	−0.0736713	+	0.609073i
$321$	0.183832	+	0.565778i	0.0102605	+	0.0315786i
$322$	−1.43981	−	4.43128i	−0.0802374	−	0.246945i
$323$	13.7801	+	10.0118i	0.766743	+	0.557072i
$324$	0.589483			0.0327490
$325$	−2.26470	−	30.7921i	−0.125623	−	1.70804i
$326$	5.97146			0.330729
$327$	−7.28585	−	5.29348i	−0.402908	−	0.292730i
$328$	2.36816	+	7.28844i	0.130760	+	0.402437i
$329$	3.21961	+	9.90893i	0.177503	+	0.546297i
$330$	−4.37868	−	2.03222i	−0.241038	−	0.111870i
$331$	4.70856	−	14.4915i	0.258806	−	0.796523i	−0.734250	−	0.678879i	$-0.762466\pi$
$331$	4.70856	−	14.4915i	0.258806	−	0.796523i	0.993056	−	0.117644i	$-0.0375341\pi$
$332$	−7.79755			−0.427946
$333$	7.22820	−	22.2461i	0.396103	−	1.21908i
$334$	−11.8842	+	8.63435i	−0.650273	+	0.472451i
$335$	17.6247	−	3.45885i	0.962938	−	0.188977i
$336$	3.83481	+	2.78616i	0.209206	+	0.151997i
$337$	−24.7836	+	18.0063i	−1.35005	+	0.980867i	−0.351038	+	0.936361i	$0.614171\pi$
$337$	−24.7836	+	18.0063i	−1.35005	+	0.980867i	−0.999009	+	0.0445055i	$0.985829\pi$
$338$	−32.3369	+	23.4942i	−1.75890	+	1.27791i
$339$	−13.5987	−	9.88003i	−0.738580	−	0.536610i
$340$	−2.41421	−	4.33691i	−0.130929	−	0.235202i
$341$	−2.11672	+	1.53789i	−0.114627	+	0.0832814i
$342$	4.02690	−	12.3935i	0.217750	−	0.670164i
$343$	−1.00000			−0.0539949
$344$	−4.06827	+	12.5209i	−0.219347	+	0.675079i
$345$	6.37598	−	1.25129i	0.343271	−	0.0673671i
$346$	−3.64281	−	11.2114i	−0.195838	−	0.602729i
$347$	−8.79682	−	27.0738i	−0.472238	−	1.45340i	−0.849647	−	0.527352i	$-0.823185\pi$
$347$	−8.79682	−	27.0738i	−0.472238	−	1.45340i	0.377409	−	0.926047i	$-0.376815\pi$
$348$	−2.67196	−	1.94129i	−0.143232	−	0.104064i
$349$	−18.5302			−0.991901			−0.495951	−	0.868351i	$-0.665180\pi$
$349$	−18.5302			−0.991901			−0.495951	+	0.868351i	$0.665180\pi$
$350$	−7.36254	+	3.00556i	−0.393545	+	0.160654i
$351$	30.7242			1.63994
$352$	3.23626	+	2.35128i	0.172493	+	0.125324i
$353$	−0.453070	−	1.39441i	−0.0241145	−	0.0742168i	0.938275	−	0.345890i	$-0.112423\pi$
$353$	−0.453070	−	1.39441i	−0.0241145	−	0.0742168i	−0.962390	+	0.271673i	$0.912423\pi$
$354$	0.285764	+	0.879492i	0.0151882	+	0.0467445i
$355$	14.1197	−	15.1964i	0.749398	−	0.806540i
$356$	−1.08829	+	3.34942i	−0.0576793	+	0.177519i
$357$	4.15739			0.220032
$358$	4.44691	−	13.6862i	0.235026	−	0.723337i
$359$	−6.23006	+	4.52640i	−0.328810	+	0.238894i	−0.739925	−	0.672689i	$-0.765139\pi$
$359$	−6.23006	+	4.52640i	−0.328810	+	0.238894i	0.411116	+	0.911583i	$0.365139\pi$
$360$	7.17629	−	7.72347i	0.378223	−	0.407063i
$361$	2.00998	+	1.46034i	0.105788	+	0.0768598i
$362$	8.07009	−	5.86326i	0.424154	−	0.308166i
$363$	−7.32453	+	5.32158i	−0.384438	+	0.279311i
$364$	2.64583	+	1.92230i	0.138679	+	0.100756i
$365$	0.714047	−	5.90334i	0.0373749	−	0.308995i
$366$	15.4514	−	11.2261i	0.807655	−	0.586796i
$367$	−6.61470	+	20.3580i	−0.345285	+	1.06268i	0.616146	+	0.787632i	$0.288693\pi$
$367$	−6.61470	+	20.3580i	−0.345285	+	1.06268i	−0.961431	+	0.275046i	$0.911307\pi$
$368$	−13.9994			−0.729768
$369$	2.04158	−	6.28335i	0.106281	−	0.327098i
$370$	20.0690	+	36.0521i	1.04334	+	1.87426i
$371$	1.45717	+	4.48472i	0.0756527	+	0.232835i
$372$	−0.310390	−	0.955281i	−0.0160930	−	0.0495290i
$373$	0.374477	+	0.272074i	0.0193897	+	0.0140874i	0.597438	−	0.801915i	$-0.296185\pi$
$373$	0.374477	+	0.272074i	0.0193897	+	0.0140874i	−0.578048	+	0.816003i	$0.696185\pi$
$374$	9.12206			0.471690
$375$	−2.92813	−	10.6964i	−0.151208	−	0.552358i
$376$	24.3657			1.25656
$377$	31.4075	+	22.8189i	1.61757	+	1.17523i
$378$	−2.44540	−	7.52617i	−0.125778	−	0.387104i
$379$	8.43489	+	25.9599i	0.433271	+	1.33347i	0.894848	+	0.446371i	$0.147284\pi$
$379$	8.43489	+	25.9599i	0.433271	+	1.33347i	−0.461577	+	0.887100i	$0.652716\pi$
$380$	2.34085	+	4.20513i	0.120083	+	0.215718i
$381$	5.81976	−	17.9114i	0.298155	−	0.917628i
$382$	28.8661			1.47692
$383$	9.25361	−	28.4797i	0.472837	−	1.45524i	−0.376015	−	0.926614i	$-0.622706\pi$
$383$	9.25361	−	28.4797i	0.472837	−	1.45524i	0.848852	−	0.528630i	$-0.177294\pi$
$384$	10.9560	−	7.95998i	0.559094	−	0.406206i
$385$	0.367433	−	3.03773i	0.0187261	−	0.154817i
$386$	−24.0893	−	17.5019i	−1.22611	−	0.890822i
$387$	9.18210	−	6.67119i	0.466752	−	0.339116i
$388$	1.31386	−	0.954578i	0.0667013	−	0.0484613i
$389$	−0.207457	−	0.150727i	−0.0105185	−	0.00764214i	0.582514	−	0.812821i	$-0.302069\pi$
$389$	−0.207457	−	0.150727i	−0.0105185	−	0.00764214i	−0.593032	+	0.805179i	$0.702069\pi$
$390$	−14.8275	+	15.9581i	−0.750821	+	0.808071i
$391$	−9.93345	+	7.21707i	−0.502356	+	0.364983i
$392$	−0.722670	+	2.22415i	−0.0365003	+	0.112336i
$393$	2.83901			0.143209
$394$	2.33980	−	7.20116i	0.117877	−	0.362789i
$395$	2.21703	−	2.38607i	0.111551	−	0.120056i
$396$	−0.451521	−	1.38964i	−0.0226898	−	0.0698319i
$397$	−0.876244	−	2.69680i	−0.0439774	−	0.135349i	0.926657	−	0.375908i	$-0.122669\pi$
$397$	−0.876244	−	2.69680i	−0.0439774	−	0.135349i	−0.970634	+	0.240559i	$0.922669\pi$
$398$	1.30654	+	0.949254i	0.0654907	+	0.0475818i
$399$	−4.03106			−0.201805
$400$	1.75261	+	23.8293i	0.0876303	+	1.19147i
$401$	−17.2543			−0.861641			−0.430820	−	0.902438i	$-0.641776\pi$
$401$	−17.2543			−0.861641			−0.430820	+	0.902438i	$0.641776\pi$
$402$	−10.2518	−	7.44837i	−0.511313	−	0.371491i
$403$	3.64848	+	11.2289i	0.181744	+	0.559349i
$404$	−1.33171	−	4.09857i	−0.0662549	−	0.203912i
$405$	−2.44223	+	0.479289i	−0.121355	+	0.0238161i
$406$	3.08991	−	9.50976i	0.153350	−	0.471962i
$407$	−15.8764			−0.786962
$408$	3.00442	−	9.24665i	0.148741	−	0.457777i
$409$	−14.0640	+	10.2181i	−0.695421	+	0.505253i	−0.878438	−	0.477857i	$-0.841414\pi$
$409$	−14.0640	+	10.2181i	−0.695421	+	0.505253i	0.183017	+	0.983110i	$0.441414\pi$
$410$	5.66843	+	10.1828i	0.279944	+	0.502893i
$411$	−5.55777	−	4.03795i	−0.274144	−	0.199178i
$412$	6.42645	−	4.66909i	0.316608	−	0.230029i
$413$	−0.474223	+	0.344543i	−0.0233350	+	0.0169539i
$414$	7.59967	+	5.52148i	0.373503	+	0.271366i
$415$	32.3053	−	6.33993i	1.58580	−	0.311215i
$416$	14.6038	−	10.6103i	0.716010	−	0.520212i
$417$	3.24885	−	9.99894i	0.159097	−	0.489650i
$418$	−8.84487			−0.432617
$419$	1.56918	−	4.82945i	0.0766597	−	0.235934i	−0.905382	−	0.424598i	$-0.860416\pi$
$419$	1.56918	−	4.82945i	0.0766597	−	0.235934i	0.982042	+	0.188664i	$0.0604155\pi$
$420$	1.06552	+	0.494524i	0.0519920	+	0.0241303i
$421$	−9.32260	−	28.6920i	−0.454356	−	1.39836i	−0.871890	−	0.489702i	$-0.837106\pi$
$421$	−9.32260	−	28.6920i	−0.454356	−	1.39836i	0.417534	−	0.908661i	$-0.362894\pi$
$422$	9.52821	+	29.3248i	0.463826	+	1.42751i
$423$	−16.9939	−	12.3468i	−0.826271	−	0.600321i
$424$	11.0277			0.535554
$425$	13.5283	+	16.0049i	0.656218	+	0.776353i
$426$	−14.6352			−0.709080
$427$	9.79413	+	7.11585i	0.473971	+	0.344360i
$428$	−0.0981549	−	0.302090i	−0.00474450	−	0.0146021i
$429$	−2.59008	−	7.97146i	−0.125050	−	0.384866i
$430$	−2.40413	+	19.8760i	−0.115937	+	0.958505i
$431$	11.7579	−	36.1871i	0.566358	−	1.74307i	−0.0975221	−	0.995233i	$-0.531092\pi$
$431$	11.7579	−	36.1871i	0.566358	−	1.74307i	0.663881	−	0.747839i	$-0.268908\pi$
$432$	−23.7768			−1.14396
$433$	4.41940	−	13.6015i	0.212383	−	0.653647i	−0.786946	−	0.617022i	$-0.788339\pi$
$433$	4.41940	−	13.6015i	0.212383	−	0.653647i	0.999329	−	0.0366256i	$-0.0116609\pi$
$434$	2.46022	−	1.78745i	0.118094	−	0.0858005i
$435$	12.6483	+	5.87030i	0.606442	+	0.281459i
$436$	3.89018	+	2.82638i	0.186306	+	0.135359i
$437$	9.63161	−	6.99777i	0.460742	−	0.334749i
$438$	−3.39410	+	2.46596i	−0.162177	+	0.117828i
$439$	19.2561	+	13.9904i	0.919043	+	0.667724i	0.943286	−	0.331982i	$-0.107717\pi$
$439$	19.2561	+	13.9904i	0.919043	+	0.667724i	−0.0242423	+	0.999706i	$0.507717\pi$
$440$	−6.49083	−	3.01250i	−0.309438	−	0.143615i
$441$	1.63107	−	1.18504i	0.0776699	−	0.0564305i
$442$	12.7203	−	39.1491i	0.605044	−	1.86213i
$443$	−34.0901			−1.61967			−0.809835	−	0.586658i	$-0.800443\pi$
$443$	−34.0901			−1.61967			−0.809835	+	0.586658i	$0.800443\pi$
$444$	1.88344	−	5.79663i	0.0893841	−	0.275096i
$445$	1.78550	−	14.7615i	0.0846408	−	0.699763i
$446$	−10.0967	−	31.0744i	−0.478091	−	1.47141i
$447$	0.744289	+	2.29069i	0.0352037	+	0.108346i
$448$	3.97074	+	2.88491i	0.187600	+	0.136299i
$449$	−10.0195			−0.472848			−0.236424	−	0.971650i	$-0.575975\pi$
$449$	−10.0195			−0.472848			−0.236424	+	0.971650i	$0.575975\pi$
$450$	8.44710	−	13.6272i	0.398200	−	0.642392i
$451$	−4.48424			−0.211154
$452$	7.26084	+	5.27531i	0.341521	+	0.248130i
$453$	0.338625	+	1.04218i	0.0159100	+	0.0489659i
$454$	9.28007	+	28.5611i	0.435535	+	1.34044i
$455$	−12.5246	−	5.81289i	−0.587164	−	0.272512i
$456$	−2.91313	+	8.96568i	−0.136420	+	0.419856i
$457$	16.1014			0.753193			0.376597	−	0.926377i	$-0.377094\pi$
$457$	16.1014			0.753193			0.376597	+	0.926377i	$0.377094\pi$
$458$	3.34351	−	10.2903i	0.156232	−	0.480833i
$459$	−16.8712	+	12.2576i	−0.787479	+	0.572137i
$460$	−3.40437	+	0.668109i	−0.158730	+	0.0311508i
$461$	7.36811	+	5.35324i	0.343167	+	0.249325i	0.745997	−	0.665949i	$-0.231973\pi$
$461$	7.36811	+	5.35324i	0.343167	+	0.249325i	−0.402830	+	0.915275i	$0.631973\pi$
$462$	−1.74653	+	1.26893i	−0.0812560	+	0.0590359i
$463$	−10.8220	+	7.86267i	−0.502943	+	0.365409i	−0.810140	−	0.586236i	$-0.800609\pi$
$463$	−10.8220	+	7.86267i	−0.502943	+	0.365409i	0.307197	+	0.951646i	$0.400609\pi$
$464$	−24.3056	−	17.6591i	−1.12836	−	0.819802i
$465$	2.06265	+	3.70537i	0.0956533	+	0.171832i
$466$	9.48136	−	6.88861i	0.439216	−	0.319109i
$467$	−0.978280	+	3.01084i	−0.0452694	+	0.139325i	−0.971136	−	0.238524i	$-0.923336\pi$
$467$	−0.978280	+	3.01084i	−0.0452694	+	0.139325i	0.925867	+	0.377849i	$0.123336\pi$
$468$	−6.59353			−0.304786
$469$	2.48213	−	7.63921i	0.114614	−	0.352746i
$470$	36.3602	−	7.13572i	1.67717	−	0.329146i
$471$	−1.78314	−	5.48795i	−0.0821629	−	0.252871i
$472$	0.423609	+	1.30373i	0.0194982	+	0.0600092i
$473$	−6.23226	−	4.52800i	−0.286560	−	0.208198i
$474$	−2.29797			−0.105549
$475$	−13.1172	−	15.5186i	−0.601859	−	0.712042i
$476$	−2.21978			−0.101744
$477$	−7.69132	−	5.58807i	−0.352161	−	0.255860i
$478$	6.93124	+	21.3321i	0.317027	+	0.975710i
$479$	9.89496	+	30.4536i	0.452112	+	1.39146i	0.874492	+	0.485040i	$0.161195\pi$
$479$	9.89496	+	30.4536i	0.452112	+	1.39146i	−0.422380	+	0.906419i	$0.638805\pi$
$480$	4.41335	−	4.74987i	0.201441	−	0.216801i
$481$	−22.1389	+	68.1365i	−1.00945	+	3.10676i
$482$	−45.9141			−2.09133
$483$	0.897947	−	2.76360i	0.0408580	−	0.125748i
$484$	3.91084	−	2.84139i	0.177765	−	0.129154i
$485$	−4.66721	+	5.02308i	−0.211927	+	0.228086i
$486$	20.6270	+	14.9864i	0.935660	+	0.679797i
$487$	−25.7691	+	18.7223i	−1.16771	+	0.848390i	−0.990733	−	0.135825i	$-0.956632\pi$
$487$	−25.7691	+	18.7223i	−1.16771	+	0.848390i	−0.176976	+	0.984215i	$0.556632\pi$
$488$	22.9046	−	16.6412i	1.03684	−	0.753311i
$489$	3.01290	+	2.18900i	0.136248	+	0.0989899i
$490$	−0.427058	+	3.53068i	−0.0192925	+	0.159500i
$491$	33.4256	−	24.2851i	1.50848	−	1.09597i	0.541629	−	0.840618i	$-0.317808\pi$
$491$	33.4256	−	24.2851i	1.50848	−	1.09597i	0.966848	−	0.255354i	$-0.0821921\pi$
$492$	0.531972	−	1.63724i	0.0239832	−	0.0738126i
$493$	−26.3502			−1.18675
$494$	−12.3338	+	37.9595i	−0.554923	+	1.70788i
$495$	3.00052	+	5.39016i	0.134863	+	0.242270i
$496$	−2.82348	−	8.68978i	−0.126778	−	0.390182i
$497$	−2.86670	−	8.82278i	−0.128589	−	0.395756i
$498$	−18.7911	−	13.6526i	−0.842052	−	0.611786i
$499$	−4.16196			−0.186315			−0.0931576	−	0.995651i	$-0.529696\pi$
$499$	−4.16196			−0.186315			−0.0931576	+	0.995651i	$0.529696\pi$
$500$	1.56344	+	5.71118i	0.0699190	+	0.255412i
$501$	−9.16129			−0.409296
$502$	−9.02398	−	6.55630i	−0.402760	−	0.292622i
$503$	−6.89369	−	21.2166i	−0.307374	−	0.946001i	−0.978780	−	0.204912i	$-0.934309\pi$
$503$	−6.89369	−	21.2166i	−0.307374	−	0.946001i	0.671406	−	0.741090i	$-0.265691\pi$
$504$	−1.45698	−	4.48413i	−0.0648991	−	0.199739i
$505$	8.84969	+	15.8977i	0.393806	+	0.707436i
$506$	1.97026	−	6.06383i	0.0875886	−	0.269570i
$507$	−24.9280			−1.10709
$508$	−3.10739	+	9.56355i	−0.137868	+	0.424314i
$509$	−11.8692	+	8.62344i	−0.526091	+	0.382227i	−0.818893	−	0.573945i	$-0.805412\pi$
$509$	−11.8692	+	8.62344i	−0.526091	+	0.382227i	0.292803	+	0.956173i	$0.405412\pi$
$510$	1.77545	−	14.6784i	0.0786182	−	0.649971i
$511$	−2.15142	−	1.56310i	−0.0951730	−	0.0691473i
$512$	6.78093	−	4.92664i	0.299678	−	0.217729i
$513$	16.3585	−	11.8852i	0.722246	−	0.524743i
$514$	3.72494	+	2.70632i	0.164300	+	0.119371i
$515$	−22.8285	+	24.5692i	−1.00595	+	1.08265i
$516$	2.39257	−	1.73830i	0.105327	−	0.0765244i
$517$	−4.40576	+	13.5595i	−0.193765	+	0.596348i
$518$	18.4527			0.810767
$519$	2.27186	−	6.99207i	0.0997236	−	0.306918i
$520$	−21.9799	+	23.6559i	−0.963883	+	1.03738i
$521$	3.84994	+	11.8489i	0.168669	+	0.519109i	0.999288	−	0.0377319i	$-0.0120133\pi$
$521$	3.84994	+	11.8489i	0.168669	+	0.519109i	−0.830619	+	0.556841i	$0.812013\pi$
$522$	6.22960	+	19.1727i	0.272662	+	0.839168i
$523$	23.2382	+	16.8835i	1.01613	+	0.738264i	0.965487	−	0.260452i	$-0.0838717\pi$
$523$	23.2382	+	16.8835i	1.01613	+	0.738264i	0.0506469	+	0.998717i	$0.483872\pi$
$524$	−1.51585			−0.0662202
$525$	−4.81653	−	1.18248i	−0.210211	−	0.0516077i
$526$	−10.4710			−0.456557
$527$	−6.48327	−	4.71037i	−0.282415	−	0.205187i
$528$	2.00441	+	6.16894i	0.0872308	+	0.268469i
$529$	−4.45540	−	13.7123i	−0.193713	−	0.596187i
$530$	16.4564	−	3.22958i	0.714821	−	0.140284i
$531$	0.365192	−	1.12395i	0.0158480	−	0.0487751i
$532$	2.15233			0.0933154
$533$	−6.25307	+	19.2450i	−0.270851	+	0.833592i
$534$	−8.48708	+	6.16622i	−0.367272	+	0.266839i
$535$	0.652276	+	1.17175i	0.0282003	+	0.0506593i
$536$	−15.1970	−	11.0412i	−0.656409	−	0.476909i
$537$	7.26071	−	5.27521i	0.313323	−	0.227642i
$538$	2.29845	−	1.66993i	0.0990934	−	0.0719956i
$539$	−1.10707	−	0.804334i	−0.0476849	−	0.0346451i
$540$	−5.78205	+	1.13473i	−0.248820	+	0.0488310i
$541$	−8.17584	+	5.94009i	−0.351507	+	0.255385i	−0.749501	−	0.662003i	$-0.769706\pi$
$541$	−8.17584	+	5.94009i	−0.351507	+	0.255385i	0.397994	+	0.917388i	$0.369706\pi$
$542$	−4.07796	+	12.5507i	−0.175163	+	0.539098i
$543$	6.22109			0.266972
$544$	−3.78615	+	11.6526i	−0.162330	+	0.499600i
$545$	−18.4151	−	8.54675i	−0.788816	−	0.366103i
$546$	3.01039	+	9.26504i	0.128833	+	0.396507i
$547$	−11.3386	−	34.8965i	−0.484801	−	1.49207i	−0.832268	−	0.554373i	$-0.812958\pi$
$547$	−11.3386	−	34.8965i	−0.484801	−	1.49207i	0.347467	−	0.937692i	$-0.387042\pi$
$548$	2.96750	+	2.15601i	0.126765	+	0.0921003i
$549$	−24.4075			−1.04168
$550$	−10.5683	−	2.59458i	−0.450635	−	0.110633i
$551$	25.5495			1.08844
$552$	−5.49773	−	3.99433i	−0.233999	−	0.170010i
$553$	−0.450117	−	1.38532i	−0.0191409	−	0.0589097i
$554$	7.16044	+	22.0376i	0.304218	+	0.936286i
$555$	−3.09005	+	25.5469i	−0.131166	+	1.08440i
$556$	−1.73468	+	5.33880i	−0.0735669	+	0.226416i
$557$	−4.45573			−0.188795			−0.0943976	−	0.995535i	$-0.530093\pi$
$557$	−4.45573			−0.188795			−0.0943976	+	0.995535i	$0.530093\pi$
$558$	−1.89458	+	5.83092i	−0.0802040	+	0.246842i
$559$	−28.1234	+	20.4329i	−1.18949	+	0.864218i
$560$	9.69255	+	4.49847i	0.409585	+	0.190095i
$561$	4.60252	+	3.34393i	0.194319	+	0.141181i
$562$	28.1382	−	20.4436i	1.18694	−	0.862361i
$563$	−33.6846	+	24.4733i	−1.41964	+	1.03143i	−0.427805	+	0.903871i	$0.640713\pi$
$563$	−33.6846	+	24.4733i	−1.41964	+	1.03143i	−0.991831	+	0.127556i	$0.959287\pi$
$564$	−4.42807	−	3.21718i	−0.186455	−	0.135468i
$565$	−34.3709	−	15.9521i	−1.44600	−	0.671110i
$566$	−21.2591	+	15.4456i	−0.893586	+	0.649228i
$567$	−0.343946	+	1.05856i	−0.0144444	+	0.0444552i
$568$	−21.6949			−0.910296
$569$	8.60235	−	26.4753i	0.360629	−	1.10990i	−0.592044	−	0.805906i	$-0.701679\pi$
$569$	8.60235	−	26.4753i	0.360629	−	1.10990i	0.952673	−	0.303997i	$-0.0983212\pi$
$570$	−1.72150	+	14.2324i	−0.0721056	+	0.596129i
$571$	5.89552	+	18.1445i	0.246720	+	0.759325i	0.995349	+	0.0963363i	$0.0307124\pi$
$571$	5.89552	+	18.1445i	0.246720	+	0.759325i	−0.748629	+	0.662989i	$0.769288\pi$
$572$	1.38294	+	4.25626i	0.0578237	+	0.177963i
$573$	14.5644	+	10.5816i	0.608435	+	0.442054i
$574$	5.21192			0.217541
$575$	13.5611	−	5.53596i	0.565538	−	0.230866i
$576$	−9.89527			−0.412303
$577$	0.329497	+	0.239394i	0.0137172	+	0.00996609i	0.594623	−	0.804005i	$-0.297301\pi$
$577$	0.329497	+	0.239394i	0.0137172	+	0.00996609i	−0.580906	+	0.813971i	$0.697301\pi$
$578$	0.278619	+	0.857500i	0.0115890	+	0.0356673i
$579$	−5.73844	−	17.6611i	−0.238481	−	0.733970i
$580$	−6.75342	−	3.13437i	−0.280420	−	0.130148i
$581$	4.54964	−	14.0024i	0.188751	−	0.580916i
$582$	4.83760			0.200525
$583$	−1.99402	+	6.13696i	−0.0825838	+	0.254167i
$584$	−5.03132	+	3.65547i	−0.208198	+	0.151264i
$585$	27.3170	−	5.36098i	1.12942	−	0.221649i
$586$	15.5526	+	11.2997i	0.642474	+	0.466784i
$587$	15.4101	−	11.1961i	0.636045	−	0.462114i	−0.222444	−	0.974945i	$-0.571404\pi$
$587$	15.4101	−	11.1961i	0.636045	−	0.462114i	0.858489	+	0.512832i	$0.171404\pi$
$588$	0.425005	−	0.308784i	0.0175269	−	0.0127340i
$589$	6.28626	+	4.56724i	0.259021	+	0.188190i
$590$	1.01395	+	1.82147i	0.0417437	+	0.0749887i
$591$	3.82032	−	2.77562i	0.157147	−	0.114174i
$592$	17.1328	−	52.7294i	0.704155	−	2.16717i
$593$	−17.2428			−0.708076			−0.354038	−	0.935231i	$-0.615192\pi$
$593$	−17.2428			−0.708076			−0.354038	+	0.935231i	$0.615192\pi$
$594$	3.34632	−	10.2989i	0.137301	−	0.422570i
$595$	9.19658	−	1.80483i	0.377023	−	0.0739909i
$596$	−0.397404	−	1.22308i	−0.0162783	−	0.0500994i
$597$	0.311237	+	0.957890i	0.0127381	+	0.0392038i
$598$	−23.2767	−	16.9115i	−0.951853	−	0.691562i
$599$	26.4257			1.07972			0.539862	−	0.841753i	$-0.318476\pi$
$599$	26.4257			1.07972			0.539862	+	0.841753i	$0.318476\pi$
$600$	−6.11078	+	9.85814i	−0.249471	+	0.402457i
$601$	16.3134			0.665437			0.332718	−	0.943026i	$-0.392034\pi$
$601$	16.3134			0.665437			0.332718	+	0.943026i	$0.392034\pi$
$602$	7.24361	+	5.26279i	0.295228	+	0.214495i
$603$	5.00425	+	15.4015i	0.203789	+	0.627197i
$604$	−0.180804	−	0.556458i	−0.00735682	−	0.0226420i
$605$	−13.8924	+	14.9517i	−0.564806	+	0.607872i
$606$	3.96686	−	12.2087i	0.161143	−	0.495946i
$607$	16.3699			0.664432			0.332216	−	0.943203i	$-0.392204\pi$
$607$	16.3699			0.664432			0.332216	+	0.943203i	$0.392204\pi$
$608$	3.67110	−	11.2985i	0.148883	−	0.458214i
$609$	5.04506	−	3.66545i	0.204436	−	0.148532i
$610$	29.3065	−	31.5411i	1.18658	−	1.27706i
$611$	52.0497	+	37.8164i	2.10571	+	1.52989i
$612$	3.62062	−	2.63053i	0.146355	−	0.106333i
$613$	−35.9194	+	26.0970i	−1.45077	+	1.05405i	−0.465122	+	0.885247i	$0.653989\pi$
$613$	−35.9194	+	26.0970i	−1.45077	+	1.05405i	−0.985650	+	0.168801i	$0.946011\pi$
$614$	−23.4613	−	17.0456i	−0.946820	−	0.687905i
$615$	−0.872777	+	7.21564i	−0.0351938	+	0.290963i
$616$	−2.58901	+	1.88102i	−0.104314	+	0.0757886i
$617$	−0.573620	+	1.76542i	−0.0230931	+	0.0710732i	−0.961939	−	0.273265i	$-0.911897\pi$
$617$	−0.573620	+	1.76542i	−0.0230931	+	0.0710732i	0.938846	+	0.344338i	$0.111897\pi$
$618$	23.6620			0.951824
$619$	8.20286	−	25.2458i	0.329701	−	1.01471i	−0.639573	−	0.768730i	$-0.720889\pi$
$619$	8.20286	−	25.2458i	0.329701	−	1.01471i	0.969274	−	0.245984i	$-0.0791112\pi$
$620$	−1.10133	−	1.97843i	−0.0442304	−	0.0794558i
$621$	4.50420	+	13.8625i	0.180747	+	0.556283i
$622$	−4.22797	−	13.0124i	−0.169526	−	0.521748i
$623$	−5.37969	−	3.90858i	−0.215533	−	0.156594i
$624$	29.2703			1.17175
$625$	−11.1209	−	22.3903i	−0.444836	−	0.895612i
$626$	−28.2621			−1.12958
$627$	−4.46267	−	3.24232i	−0.178222	−	0.129486i
$628$	0.952086	+	2.93022i	0.0379923	+	0.116928i
$629$	−15.0267	−	46.2474i	−0.599153	−	1.84400i
$630$	−3.48744	−	6.26486i	−0.138943	−	0.249598i
$631$	14.2080	−	43.7279i	0.565613	−	1.74078i	−0.100509	−	0.994936i	$-0.532047\pi$
$631$	14.2080	−	43.7279i	0.565613	−	1.74078i	0.666122	−	0.745842i	$-0.267953\pi$
$632$	−3.40644			−0.135501
$633$	−5.94234	+	18.2886i	−0.236187	+	0.726908i
$634$	15.2418	−	11.0738i	0.605329	−	0.439797i
$635$	5.09811	−	42.1484i	0.202312	−	1.67261i
$636$	−2.00412	−	1.45608i	−0.0794684	−	0.0577371i
$637$	−4.99572	+	3.62960i	−0.197938	+	0.143810i
$638$	11.0698	−	8.04266i	0.438257	−	0.318412i
$639$	15.1311	+	10.9934i	0.598578	+	0.434892i
$640$	20.7801	−	22.3646i	0.821406	−	0.884038i
$641$	−33.2013	+	24.1222i	−1.31137	+	0.952769i	−0.311377	+	0.950286i	$0.600790\pi$
$641$	−33.2013	+	24.1222i	−1.31137	+	0.952769i	−0.999997	+	0.00248279i	$0.999210\pi$
$642$	0.292381	−	0.899857i	0.0115394	−	0.0355145i
$643$	8.92058			0.351793			0.175897	−	0.984409i	$-0.443718\pi$
$643$	8.92058			0.351793			0.175897	+	0.984409i	$0.443718\pi$
$644$	−0.479447	+	1.47559i	−0.0188929	+	0.0581462i
$645$	−8.49906	+	9.14711i	−0.334650	+	0.360167i
$646$	−8.37151	−	25.7648i	−0.329372	−	1.01370i
$647$	1.54253	+	4.74741i	0.0606430	+	0.186640i	0.976789	−	0.214206i	$-0.0687163\pi$
$647$	1.54253	+	4.74741i	0.0606430	+	0.186640i	−0.916146	+	0.400846i	$0.868716\pi$
$648$	2.10583	+	1.52997i	0.0827248	+	0.0601031i
$649$	−0.802126			−0.0314862
$650$	−25.8722	+	41.7381i	−1.01479	+	1.63710i
$651$	1.89654			0.0743312
$652$	−1.60870	−	1.16879i	−0.0630014	−	0.0457732i
$653$	−3.60705	−	11.1014i	−0.141155	−	0.434430i	0.855342	−	0.518064i	$-0.173347\pi$
$653$	−3.60705	−	11.1014i	−0.141155	−	0.434430i	−0.996497	+	0.0836344i	$0.973347\pi$
$654$	4.42621	+	13.6225i	0.173079	+	0.532681i
$655$	6.28018	−	1.23249i	0.245387	−	0.0481573i
$656$	4.83912	−	14.8933i	0.188936	−	0.581485i
$657$	5.36144			0.209170
$658$	5.12071	−	15.7599i	0.199626	−	0.614386i
$659$	38.9253	−	28.2809i	1.51631	−	1.10167i	0.553037	−	0.833157i	$-0.313469\pi$
$659$	38.9253	−	28.2809i	1.51631	−	1.10167i	0.963277	−	0.268510i	$-0.0865312\pi$
$660$	0.781842	+	1.40451i	0.0304331	+	0.0546703i
$661$	17.2494	+	12.5324i	0.670923	+	0.487454i	0.870334	−	0.492462i	$-0.163903\pi$
$661$	17.2494	+	12.5324i	0.670923	+	0.487454i	−0.199411	+	0.979916i	$0.563903\pi$
$662$	−19.6061	+	14.2447i	−0.762013	+	0.553635i
$663$	20.7691	−	15.0897i	0.806607	−	0.586034i
$664$	−27.8555	−	20.2382i	−1.08100	−	0.785393i
$665$	−8.91713	+	1.74999i	−0.345791	+	0.0678617i
$666$	−30.0977	+	21.8672i	−1.16626	+	0.847338i
$667$	−5.69132	+	17.5161i	−0.220369	+	0.678226i
$668$	4.89155			0.189260
$669$	6.29686	−	19.3797i	0.243451	−	0.749264i
$670$	−25.9116	−	12.0260i	−1.00105	−	0.464605i
$671$	5.11927	+	15.7555i	0.197627	+	0.608235i
$672$	−0.896032	−	2.75770i	−0.0345652	−	0.106381i
$673$	24.5594	+	17.8435i	0.946695	+	0.687815i	0.950023	−	0.312180i	$-0.101059\pi$
$673$	24.5594	+	17.8435i	0.946695	+	0.687815i	−0.00332751	+	0.999994i	$0.501059\pi$
$674$	48.7230			1.87674
$675$	23.0325	−	9.40240i	0.886520	−	0.361898i
$676$	13.3100			0.511922
$677$	34.1330	+	24.7991i	1.31184	+	0.953106i	0.999996	+	0.00297276i	$0.000946260\pi$
$677$	34.1330	+	24.7991i	1.31184	+	0.953106i	0.311843	+	0.950134i	$0.399054\pi$
$678$	8.26132	+	25.4257i	0.317274	+	0.976469i
$679$	0.947571	+	2.91632i	0.0363644	+	0.111918i
$680$	2.63187	−	21.7589i	0.100928	−	0.834414i
$681$	−5.78758	+	17.8123i	−0.221780	+	0.682570i
$682$	4.16135			0.159346
$683$	8.08886	−	24.8950i	0.309512	−	0.952579i	−0.668443	−	0.743763i	$-0.733039\pi$
$683$	8.08886	−	24.8950i	0.309512	−	0.952579i	0.977955	−	0.208816i	$-0.0669610\pi$
$684$	−3.51060	+	2.55060i	−0.134231	+	0.0975246i
$685$	−14.0473	−	6.51960i	−0.536721	−	0.249101i
$686$	1.28672	+	0.934859i	0.0491273	+	0.0356931i
$687$	5.45914	−	3.96629i	0.208279	−	0.151324i
$688$	21.7641	−	15.8126i	0.829750	−	0.602848i
$689$	23.5574	+	17.1154i	0.897465	+	0.652046i
$690$	−9.37390	−	4.35058i	−0.356858	−	0.165624i
$691$	−4.73621	+	3.44105i	−0.180174	+	0.130904i	−0.674217	−	0.738534i	$-0.735519\pi$
$691$	−4.73621	+	3.44105i	−0.180174	+	0.130904i	0.494043	+	0.869438i	$0.335519\pi$
$692$	−1.21303	+	3.73332i	−0.0461125	+	0.141920i
$693$	2.75888			0.104801
$694$	−13.9911	+	43.0603i	−0.531097	+	1.63455i
$695$	2.84600	−	23.5291i	0.107955	−	0.892510i
$696$	−4.50660	−	13.8699i	−0.170822	−	0.525737i
$697$	−4.24424	−	13.0624i	−0.160762	−	0.494775i
$698$	23.8433	+	17.3232i	0.902482	+	0.655692i
$699$	7.30901			0.276452
$700$	2.57172	+	0.631370i	0.0972020	+	0.0238635i
$701$	50.9656			1.92494			0.962471	−	0.271384i	$-0.0874812\pi$
$701$	50.9656			1.92494			0.962471	+	0.271384i	$0.0874812\pi$
$702$	−39.5335	−	28.7228i	−1.49210	−	1.08407i
$703$	14.5701	+	44.8421i	0.549521	+	1.69125i
$704$	2.07546	+	6.38760i	0.0782217	+	0.240742i
$705$	20.9613	+	9.72849i	0.789449	+	0.366396i
$706$	−0.720598	+	2.21777i	−0.0271201	+	0.0834670i
$707$	8.13698			0.306023
$708$	0.0951576	−	0.292865i	0.00357624	−	0.0110065i
$709$	−0.734569	+	0.533695i	−0.0275873	+	0.0200434i	−0.601493	−	0.798878i	$-0.705427\pi$
$709$	−0.734569	+	0.533695i	−0.0275873	+	0.0200434i	0.573906	+	0.818921i	$0.305427\pi$
$710$	−32.3747	+	6.35355i	−1.21500	+	0.238444i
$711$	2.37583	+	1.72614i	0.0891005	+	0.0647353i
$712$	−12.5810	+	9.14063i	−0.471493	+	0.342560i
$713$	−4.53149	+	3.29232i	−0.169706	+	0.123298i
$714$	−5.34941	−	3.88657i	−0.200197	−	0.145451i
$715$	−9.19016	−	16.5093i	−0.343692	−	0.617412i
$716$	−3.87676	+	2.81663i	−0.144881	+	0.105262i
$717$	−4.32271	+	13.3039i	−0.161435	+	0.496845i
$718$	12.2479			0.457088
$719$	3.17866	−	9.78290i	0.118544	−	0.364841i	−0.874126	−	0.485700i	$-0.838565\pi$
$719$	3.17866	−	9.78290i	0.118544	−	0.364841i	0.992670	+	0.120859i	$0.0385649\pi$
$720$	−21.1401	+	4.14875i	−0.787844	+	0.154615i
$721$	4.63482	+	14.2645i	0.172610	+	0.531238i
$722$	−1.22108	−	3.75810i	−0.0454439	−	0.139862i
$723$	−23.1659	−	16.8310i	−0.861550	−	0.625953i
$724$	−3.32167			−0.123449
$725$	30.5279	+	7.49474i	1.13378	+	0.278348i
$726$	14.3996			0.534418
$727$	−2.02149	−	1.46870i	−0.0749728	−	0.0544709i	0.549668	−	0.835384i	$-0.314754\pi$
$727$	−2.02149	−	1.46870i	−0.0749728	−	0.0544709i	−0.624640	+	0.780913i	$0.714754\pi$
$728$	4.46252	+	13.7342i	0.165392	+	0.509024i
$729$	3.88184	+	11.9471i	0.143772	+	0.442484i
$730$	−6.43757	+	6.92843i	−0.238265	+	0.256433i
$731$	7.29122	−	22.4401i	0.269675	−	0.829975i
$732$	−6.35981			−0.235065
$733$	−2.10812	+	6.48812i	−0.0778652	+	0.239644i	−0.982411	−	0.186732i	$-0.940210\pi$
$733$	−2.10812	+	6.48812i	−0.0778652	+	0.239644i	0.904546	+	0.426377i	$0.140210\pi$
$734$	27.5431	−	20.0113i	1.01664	−	0.738629i
$735$	−1.50974	+	1.62485i	−0.0556875	+	0.0599336i
$736$	6.92820	+	5.03363i	0.255377	+	0.185542i
$737$	8.89237	−	6.46068i	0.327555	−	0.237982i
$738$	−8.50100	+	6.17634i	−0.312926	+	0.227354i
$739$	5.65565	+	4.10907i	0.208046	+	0.151154i	0.686929	−	0.726724i	$-0.258958\pi$
$739$	5.65565	+	4.10907i	0.208046	+	0.151154i	−0.478883	+	0.877879i	$0.658958\pi$
$740$	1.64989	−	13.6404i	0.0606513	−	0.501431i
$741$	−20.1381	+	14.6311i	−0.739790	+	0.537489i
$742$	2.31760	−	7.13284i	0.0850818	−	0.261855i
$743$	−37.7430			−1.38466			−0.692328	−	0.721583i	$-0.743415\pi$
$743$	−37.7430			−1.38466			−0.692328	+	0.721583i	$0.743415\pi$
$744$	1.37057	−	4.21819i	0.0502476	−	0.154646i
$745$	2.64089	+	4.74412i	0.0967549	+	0.173811i
$746$	−0.227498	−	0.700167i	−0.00832929	−	0.0256349i
$747$	9.17258	+	28.2303i	0.335607	+	1.03289i
$748$	−2.45746	−	1.78545i	−0.0898536	−	0.0652824i
$749$	0.599745			0.0219142
$750$	−6.23190	+	16.5007i	−0.227557	+	0.602519i
$751$	−42.0524			−1.53451			−0.767256	−	0.641341i	$-0.778378\pi$
$751$	−42.0524			−1.53451			−0.767256	+	0.641341i	$0.778378\pi$
$752$	−40.2802	−	29.2653i	−1.46887	−	1.06720i
$753$	−2.14965	−	6.61595i	−0.0783377	−	0.241099i
$754$	−19.0803	−	58.7232i	−0.694865	−	2.13857i
$755$	1.20151	+	2.15840i	0.0437275	+	0.0785524i
$756$	−0.814302	+	2.50617i	−0.0296159	+	0.0911483i
$757$	6.02693			0.219052			0.109526	−	0.993984i	$-0.465067\pi$
$757$	6.02693			0.219052			0.109526	+	0.993984i	$0.465067\pi$
$758$	13.4155	−	41.2887i	0.487273	−	1.49967i
$759$	3.21695	−	2.33725i	0.116768	−	0.0848367i
$760$	−2.55190	+	21.0977i	−0.0925671	+	0.765294i
$761$	−25.6199	−	18.6140i	−0.928722	−	0.674756i	0.0169578	−	0.999856i	$-0.494602\pi$
$761$	−25.6199	−	18.6140i	−0.928722	−	0.674756i	−0.945680	+	0.325100i	$0.894602\pi$
$762$	−24.2330	+	17.6063i	−0.877871	+	0.637810i
$763$	−7.34526	+	5.33664i	−0.265916	+	0.193199i
$764$	−7.77645	−	5.64993i	−0.281342	−	0.204407i
$765$	−12.8614	+	13.8421i	−0.465006	+	0.500463i
$766$	−38.5313	+	27.9947i	−1.39219	+	1.01149i
$767$	−1.11853	+	3.44248i	−0.0403878	+	0.124301i
$768$	−11.8020			−0.425866
$769$	−5.58514	+	17.1893i	−0.201405	+	0.619862i	0.798436	+	0.602079i	$0.205661\pi$
$769$	−5.58514	+	17.1893i	−0.201405	+	0.619862i	−0.999842	+	0.0177830i	$0.994339\pi$
$770$	−3.31263	+	3.56522i	−0.119379	+	0.128482i
$771$	0.887338	+	2.73095i	0.0319567	+	0.0983526i
$772$	3.06396	+	9.42991i	0.110275	+	0.339390i
$773$	26.8458	+	19.5046i	0.965575	+	0.701531i	0.954439	−	0.298407i	$-0.0964553\pi$
$773$	26.8458	+	19.5046i	0.965575	+	0.701531i	0.0111359	+	0.999938i	$0.496455\pi$
$774$	−18.0514			−0.648846
$775$	6.17141	+	7.30121i	0.221683	+	0.262267i
$776$	7.17112			0.257428
$777$	9.31031	+	6.76433i	0.334005	+	0.242669i
$778$	0.126032	+	0.387887i	0.00451847	+	0.0139064i
$779$	4.11528	+	12.6655i	0.147445	+	0.453789i
$780$	7.11796	−	1.39690i	0.254864	−	0.0500171i
$781$	3.92283	−	12.0732i	0.140370	−	0.432014i
$782$	19.5285			0.698340
$783$	−9.66626	+	29.7497i	−0.345444	+	1.06317i
$784$	3.86608	−	2.80887i	0.138074	−	0.100317i
$785$	−6.32696	−	11.3658i	−0.225819	−	0.405663i
$786$	−3.65301	−	2.65407i	−0.130299	−	0.0946675i
$787$	28.8313	−	20.9472i	1.02773	−	0.746686i	0.0598732	−	0.998206i	$-0.480930\pi$
$787$	28.8313	−	20.9472i	1.02773	−	0.746686i	0.967852	+	0.251520i	$0.0809304\pi$
$788$	−2.03981	+	1.48201i	−0.0726651	+	0.0527943i
$789$	−5.28313	−	3.83842i	−0.188085	−	0.136651i
$790$	−5.08334	+	0.997609i	−0.180857	+	0.0354933i
$791$	−13.7096	+	9.96059i	−0.487456	+	0.354158i
$792$	1.99376	−	6.13615i	0.0708451	−	0.218039i
$793$	74.7564			2.65468
$794$	−1.39365	+	4.28920i	−0.0494586	+	0.152218i
$795$	9.48695	+	4.40305i	0.336468	+	0.156160i
$796$	−0.166181	−	0.511453i	−0.00589013	−	0.0181280i
$797$	13.0932	+	40.2966i	0.463784	+	1.42738i	0.860505	+	0.509441i	$0.170148\pi$
$797$	13.0932	+	40.2966i	0.463784	+	1.42738i	−0.396721	+	0.917939i	$0.629852\pi$
$798$	5.18686	+	3.76847i	0.183613	+	0.133403i
$799$	−43.6685			−1.54488
$800$	7.70076	−	12.4232i	0.272263	−	0.439225i
$801$	13.4065			0.473694
$802$	22.2016	+	16.1304i	0.783964	+	0.569583i
$803$	−1.12452	−	3.46092i	−0.0396834	−	0.122133i
$804$	1.30395	+	4.01314i	0.0459867	+	0.141533i
$805$	0.786602	−	6.50318i	0.0277241	−	0.229207i
$806$	5.80282	−	17.8592i	0.204396	−	0.629065i
$807$	1.77184			0.0623716
$808$	5.88035	−	18.0979i	0.206870	−	0.636681i
$809$	−17.1841	+	12.4850i	−0.604162	+	0.438950i	−0.847354	−	0.531029i	$-0.821806\pi$
$809$	−17.1841	+	12.4850i	−0.604162	+	0.438950i	0.243192	+	0.969978i	$0.421806\pi$
$810$	3.59054	+	1.66643i	0.126159	+	0.0585524i
$811$	−31.5548	−	22.9259i	−1.10804	−	0.805036i	−0.125684	−	0.992070i	$-0.540113\pi$
$811$	−31.5548	−	22.9259i	−1.10804	−	0.805036i	−0.982353	+	0.187034i	$0.940113\pi$
$812$	−2.69375	+	1.95712i	−0.0945319	+	0.0686815i
$813$	−6.65831	+	4.83754i	−0.233517	+	0.169660i
$814$	20.4285	+	14.8422i	0.716018	+	0.520218i
$815$	7.61514	+	3.53431i	0.266747	+	0.123802i
$816$	−16.0728	+	11.6776i	−0.562661	+	0.408797i
$817$	−7.06966	+	21.7582i	−0.247336	+	0.761223i
$818$	27.6490			0.966725
$819$	3.84713	−	11.8403i	0.134430	−	0.413732i
$820$	0.466008	−	3.85270i	0.0162737	−	0.134542i
$821$	−0.994052	−	3.05938i	−0.0346927	−	0.106773i	0.932211	−	0.361916i	$-0.117877\pi$
$821$	−0.994052	−	3.05938i	−0.0346927	−	0.106773i	−0.966903	+	0.255143i	$0.917877\pi$
$822$	3.37639	+	10.3915i	0.117765	+	0.362444i
$823$	−39.0644	−	28.3819i	−1.36170	−	0.989332i	−0.998335	−	0.0576850i	$-0.981628\pi$
$823$	−39.0644	−	28.3819i	−1.36170	−	0.989332i	−0.363364	−	0.931647i	$-0.618372\pi$
$824$	35.0758			1.22192
$825$	−4.38113	−	5.18319i	−0.152531	−	0.180456i
$826$	0.932293			0.0324386
$827$	−2.49564	−	1.81319i	−0.0867817	−	0.0630506i	0.543548	−	0.839378i	$-0.317080\pi$
$827$	−2.49564	−	1.81319i	−0.0867817	−	0.0630506i	−0.630330	+	0.776327i	$0.717080\pi$
$828$	−0.966618	−	2.97494i	−0.0335923	−	0.103386i
$829$	−16.1384	−	49.6689i	−0.560510	−	1.72507i	−0.680930	−	0.732349i	$-0.738424\pi$
$829$	−16.1384	−	49.6689i	−0.560510	−	1.72507i	0.120420	−	0.992723i	$-0.461576\pi$
$830$	−47.4949	−	22.0432i	−1.64857	−	0.765130i
$831$	−4.46566	+	13.7439i	−0.154912	+	0.476770i
$832$	30.3078			1.05073
$833$	1.29518	−	3.98615i	0.0448753	−	0.138112i
$834$	−13.5280	+	9.82865i	−0.468436	+	0.340338i
$835$	−20.2657	+	3.97716i	−0.701325	+	0.137635i
$836$	2.38278	+	1.73119i	0.0824103	+	0.0598746i
$837$	−7.69638	+	5.59175i	−0.266026	+	0.193279i
$838$	−6.53396	+	4.74720i	−0.225712	+	0.163989i
$839$	19.2271	+	13.9693i	0.663794	+	0.482275i	0.867942	−	0.496665i	$-0.165442\pi$
$839$	19.2271	+	13.9693i	0.663794	+	0.482275i	−0.204148	+	0.978940i	$0.565442\pi$
$840$	2.52287	+	4.53211i	0.0870474	+	0.156373i
$841$	−8.51489	+	6.18643i	−0.293617	+	0.213325i
$842$	−14.8274	+	45.6340i	−0.510985	+	1.57265i
$843$	21.6912			0.747086
$844$	3.17283	−	9.76497i	0.109213	−	0.336124i
$845$	−55.1433	+	10.8219i	−1.89699	+	0.372284i
$846$	10.3239	+	31.7738i	0.354944	+	1.09240i
$847$	2.82053	+	8.68071i	0.0969147	+	0.298273i
$848$	−18.2306	−	13.2453i	−0.626040	−	0.454845i
$849$	−16.3883			−0.562443
$850$	−2.44481	−	33.2410i	−0.0838564	−	1.14016i
$851$	−33.9882			−1.16510
$852$	3.94269	+	2.86453i	0.135074	+	0.0981373i
$853$	−3.26484	−	10.0482i	−0.111786	−	0.344042i	0.879477	−	0.475941i	$-0.157893\pi$
$853$	−3.26484	−	10.0482i	−0.111786	−	0.344042i	−0.991263	+	0.131899i	$0.957893\pi$
$854$	−5.95001	−	18.3123i	−0.203605	−	0.626633i
$855$	12.4706	−	13.4215i	0.426487	−	0.459006i
$856$	0.433417	−	1.33392i	0.0148139	−	0.0455925i
$857$	−9.90009			−0.338181			−0.169090	−	0.985601i	$-0.554083\pi$
$857$	−9.90009			−0.338181			−0.169090	+	0.985601i	$0.554083\pi$
$858$	−4.11947	+	12.6784i	−0.140636	+	0.432834i
$859$	28.9304	−	21.0192i	0.987094	−	0.717166i	0.0278114	−	0.999613i	$-0.491146\pi$
$859$	28.9304	−	21.0192i	0.987094	−	0.717166i	0.959283	+	0.282447i	$0.0911462\pi$
$860$	4.53796	−	4.88398i	0.154743	−	0.166542i
$861$	2.62967	+	1.91057i	0.0896189	+	0.0651120i
$862$	−48.9590	+	35.5708i	−1.66755	+	1.21155i
$863$	−26.9239	+	19.5613i	−0.916500	+	0.665876i	−0.942650	−	0.333782i	$-0.891675\pi$
$863$	−26.9239	+	19.5613i	−0.916500	+	0.665876i	0.0261505	+	0.999658i	$0.491675\pi$
$864$	11.7670	+	8.54923i	0.400321	+	0.290851i
$865$	1.99015	−	16.4535i	0.0676672	−	0.559434i
$866$	−18.4020	+	13.3699i	−0.625327	+	0.454327i
$867$	−0.173763	+	0.534786i	−0.00590128	+	0.0181623i
$868$	−1.01263			−0.0343710
$869$	0.615947	−	1.89569i	0.0208946	−	0.0643069i
$870$	−10.7870	−	19.3779i	−0.365714	−	0.656972i
$871$	−15.3273	−	47.1725i	−0.519345	−	1.59838i
$872$	6.56129	+	20.1936i	0.222193	+	0.683841i
$873$	−5.00151	−	3.63381i	−0.169276	−	0.122986i
$874$	−18.9351			−0.640491
$875$	−11.1680	−	0.524786i	−0.377548	−	0.0177410i
$876$	1.39702			0.0472010
$877$	28.4675	+	20.6828i	0.961279	+	0.698410i	0.953447	−	0.301559i	$-0.0975071\pi$
$877$	28.4675	+	20.6828i	0.961279	+	0.698410i	0.00783170	+	0.999969i	$0.497507\pi$
$878$	−11.6982	−	36.0035i	−0.394796	−	1.21506i
$879$	3.70488	+	11.4025i	0.124963	+	0.384595i
$880$	7.11207	+	12.7762i	0.239748	+	0.430685i
$881$	0.531776	−	1.63664i	0.0179160	−	0.0551398i	−0.941699	−	0.336457i	$-0.890771\pi$
$881$	0.531776	−	1.63664i	0.0179160	−	0.0551398i	0.959615	+	0.281317i	$0.0907713\pi$
$882$	−3.20658			−0.107971
$883$	−2.87127	+	8.83688i	−0.0966261	+	0.297385i	−0.987674	−	0.156525i	$-0.949971\pi$
$883$	−2.87127	+	8.83688i	−0.0966261	+	0.297385i	0.891048	+	0.453909i	$0.149971\pi$
$884$	−11.0894	+	8.05693i	−0.372977	+	0.270984i
$885$	−0.156120	+	1.29071i	−0.00524791	+	0.0433868i
$886$	43.8645	+	31.8695i	1.47366	+	1.07068i
$887$	41.2693	−	29.9839i	1.38569	−	1.00676i	0.389363	−	0.921084i	$-0.372695\pi$
$887$	41.2693	−	29.9839i	1.38569	−	1.00676i	0.996323	−	0.0856757i	$-0.0273049\pi$
$888$	21.7732	−	15.8191i	0.730660	−	0.530855i
$889$	−15.3606	−	11.1601i	−0.515177	−	0.374298i
$890$	−16.0974	+	17.3248i	−0.539585	+	0.580728i
$891$	−1.23221	+	0.895251i	−0.0412805	+	0.0299920i
$892$	−3.36212	+	10.3476i	−0.112572	+	0.346462i
$893$	42.3416			1.41691
$894$	1.18378	−	3.64329i	0.0395914	−	0.121850i
$895$	13.7713	−	14.8214i	0.460325	−	0.495424i
$896$	−4.21893	−	12.9845i	−0.140945	−	0.433783i
$897$	−5.54486	−	17.0653i	−0.185138	−	0.569795i
$898$	12.8923	+	9.36679i	0.430221	+	0.312574i
$899$	−12.0206			−0.400908
$900$	−4.94285	+	2.01779i	−0.164762	+	0.0672596i
$901$	−19.7641			−0.658437
$902$	5.76997	+	4.19213i	0.192119	+	0.139583i
$903$	1.72554	+	5.31067i	0.0574225	+	0.176728i
$904$	12.2463	+	37.6904i	0.407307	+	1.25356i
$905$	13.7617	−	2.70074i	0.457454	−	0.0897756i
$906$	0.538575	−	1.65756i	0.0178930	−	0.0550689i
$907$	−24.3602			−0.808868			−0.404434	−	0.914567i	$-0.632532\pi$
$907$	−24.3602			−0.808868			−0.404434	+	0.914567i	$0.632532\pi$
$908$	3.09020	−	9.51066i	0.102552	−	0.315622i
$909$	−13.2720	+	9.64265i	−0.440203	+	0.319827i
$910$	10.6815	+	19.1883i	0.354089	+	0.636088i
$911$	−14.8168	−	10.7650i	−0.490901	−	0.356661i	0.314629	−	0.949215i	$-0.398120\pi$
$911$	−14.8168	−	10.7650i	−0.490901	−	0.356661i	−0.805531	+	0.592554i	$0.798120\pi$
$912$	15.5844	−	11.3227i	0.516052	−	0.374933i
$913$	16.2994	−	11.8422i	0.539430	−	0.391919i
$914$	−20.7181	−	15.0526i	−0.685293	−	0.497895i
$915$	26.3488	−	5.17096i	0.871063	−	0.170947i
$916$	−2.91483	+	2.11775i	−0.0963088	+	0.0699724i
$917$	0.884454	−	2.72207i	0.0292073	−	0.0898907i
$918$	33.1677			1.09470
$919$	1.27236	−	3.91591i	0.0419711	−	0.129174i	−0.927875	−	0.372891i	$-0.878367\pi$
$919$	1.27236	−	3.91591i	0.0419711	−	0.129174i	0.969846	+	0.243717i	$0.0783667\pi$
$920$	−13.8956	−	6.44917i	−0.458124	−	0.212623i
$921$	−5.58884	−	17.2007i	−0.184159	−	0.566782i
$922$	−4.47619	−	13.7763i	−0.147415	−	0.453698i
$923$	−46.3444	−	33.6712i	−1.52544	−	1.10830i
$924$	0.718876			0.0236493
$925$	4.25504	+	57.8538i	0.139905	+	1.90222i
$926$	21.2755			0.699155
$927$	−24.4637	−	17.7739i	−0.803493	−	0.583772i
$928$	5.67918	+	17.4787i	0.186428	+	0.573768i
$929$	9.25166	+	28.4737i	0.303537	+	0.934191i	0.980219	+	0.197916i	$0.0634173\pi$
$929$	9.25166	+	28.4737i	0.303537	+	0.934191i	−0.676682	+	0.736276i	$0.736583\pi$
$930$	0.809933	−	6.69608i	0.0265588	−	0.219573i
$931$	−1.25582	+	3.86503i	−0.0411580	+	0.126671i
$932$	−3.90255			−0.127832
$933$	2.63680	−	8.11525i	0.0863251	−	0.265681i
$934$	4.07348	−	2.95956i	0.133288	−	0.0968397i
$935$	11.6330	+	5.39904i	0.380438	+	0.176568i
$936$	−23.5543	−	17.1132i	−0.769896	−	0.559362i
$937$	−35.9962	+	26.1528i	−1.17594	+	0.854374i	−0.991708	−	0.128508i	$-0.958981\pi$
$937$	−35.9962	+	26.1528i	−1.17594	+	0.854374i	−0.184236	+	0.982882i	$0.558981\pi$
$938$	−10.3354	+	7.50910i	−0.337463	+	0.245181i
$939$	−14.2596	−	10.3602i	−0.465345	−	0.338093i
$940$	−11.1920	−	5.19440i	−0.365043	−	0.169423i
$941$	29.1198	−	21.1568i	0.949279	−	0.689692i	−0.00135701	−	0.999999i	$-0.500432\pi$
$941$	29.1198	−	21.1568i	0.949279	−	0.689692i	0.950636	+	0.310307i	$0.100432\pi$
$942$	−2.83605	+	8.72846i	−0.0924034	+	0.284389i
$943$	−9.59987			−0.312615
$944$	0.865607	−	2.66406i	0.0281731	−	0.0867079i
$945$	1.33598	−	11.0451i	0.0434594	−	0.359299i
$946$	3.78615	+	11.6526i	0.123098	+	0.378858i
$947$	9.07497	+	27.9299i	0.294897	+	0.907599i	0.983256	+	0.182229i	$0.0583313\pi$
$947$	9.07497	+	27.9299i	0.294897	+	0.907599i	−0.688359	+	0.725370i	$0.741669\pi$
$948$	0.619066	+	0.449778i	0.0201063	+	0.0146081i
$949$	−16.4213			−0.533058
$950$	2.37052	+	32.2309i	0.0769100	+	1.04571i
$951$	11.7496			0.381008
$952$	−7.92981	−	5.76134i	−0.257007	−	0.186726i
$953$	−1.62304	−	4.99521i	−0.0525755	−	0.161811i	0.921321	−	0.388802i	$-0.127111\pi$
$953$	−1.62304	−	4.99521i	−0.0525755	−	0.161811i	−0.973897	+	0.226991i	$0.927111\pi$
$954$	4.67254	+	14.3806i	0.151279	+	0.465589i
$955$	36.8117	+	17.0849i	1.19120	+	0.552854i
$956$	2.30806	−	7.10346i	0.0746478	−	0.229742i
$957$	8.53349			0.275849
$958$	15.7377	−	48.4357i	0.508462	−	1.56489i
$959$	−5.60309	+	4.07088i	−0.180933	+	0.131456i
$960$	10.6823	−	2.09641i	0.344770	−	0.0676613i
$961$	22.1220	+	16.0725i	0.713612	+	0.518469i
$962$	92.1847	−	66.9761i	2.97215	−	2.15940i
$963$	−0.978224	+	0.710721i	−0.0315228	+	0.0229027i
$964$	12.3691	+	8.98671i	0.398383	+	0.289442i
$965$	−20.3612	−	36.5770i	−0.655450	−	1.17746i
$966$	−3.73898	+	2.71653i	−0.120300	+	0.0874029i
$967$	−10.4705	+	32.2250i	−0.336710	+	1.03629i	0.629164	+	0.777272i	$0.283397\pi$
$967$	−10.4705	+	32.2250i	−0.336710	+	1.03629i	−0.965874	+	0.259013i	$0.916603\pi$
$968$	21.3455			0.686071
$969$	5.22095	−	16.0684i	0.167721	−	0.516192i
$970$	10.7013	−	2.10013i	0.343597	−	0.0674312i
$971$	−17.1147	−	52.6737i	−0.549238	−	1.69038i	−0.710696	−	0.703500i	$-0.751620\pi$
$971$	−17.1147	−	52.6737i	−0.549238	−	1.69038i	0.161458	−	0.986880i	$-0.448380\pi$
$972$	−2.62359	−	8.07459i	−0.0841518	−	0.258993i
$973$	−8.57496	−	6.23007i	−0.274901	−	0.199727i
$974$	50.6604			1.62327
$975$	−28.3540	+	11.5748i	−0.908054	+	0.370689i
$976$	−57.8524			−1.85181
$977$	31.2219	+	22.6840i	0.998876	+	0.725726i	0.961847	−	0.273588i	$-0.0882105\pi$
$977$	31.2219	+	22.6840i	0.998876	+	0.725726i	0.0370294	+	0.999314i	$0.488210\pi$
$978$	−1.83036	−	5.63327i	−0.0585284	−	0.180132i
$979$	−2.81190	−	8.65414i	−0.0898687	−	0.276588i
$980$	0.806104	−	0.867569i	0.0257500	−	0.0277135i
$981$	5.65648	−	17.4088i	0.180597	−	0.555822i
$982$	−65.7127			−2.09698
$983$	−2.70465	+	8.32405i	−0.0862648	+	0.265496i	−0.984879	−	0.173244i	$-0.944575\pi$
$983$	−2.70465	+	8.32405i	−0.0862648	+	0.265496i	0.898614	+	0.438740i	$0.144575\pi$
$984$	6.14977	−	4.46807i	0.196048	−	0.142437i
$985$	7.24597	−	7.79847i	0.230876	−	0.248480i
$986$	33.9054	+	24.6337i	1.07977	+	0.784497i
$987$	8.36087	−	6.07453i	0.266129	−	0.193354i
$988$	10.7524	−	7.81211i	0.342081	−	0.248536i
$989$	−13.3421	−	9.69357i	−0.424253	−	0.308238i
$990$	1.17820	−	9.74071i	0.0374457	−	0.309580i
$991$	0.359892	−	0.261477i	0.0114323	−	0.00830608i	−0.582054	−	0.813150i	$-0.697751\pi$
$991$	0.359892	−	0.261477i	0.0114323	−	0.00830608i	0.593487	+	0.804844i	$0.297751\pi$
$992$	−1.72719	+	5.31573i	−0.0548382	+	0.168775i
$993$	−15.1140			−0.479628
$994$	−4.55941	+	14.0324i	−0.144616	+	0.445082i
$995$	1.10433	+	1.98384i	0.0350098	+	0.0628918i
$996$	2.39009	+	7.35593i	0.0757328	+	0.233082i
$997$	14.0013	+	43.0917i	0.443426	+	1.36473i	0.884200	+	0.467108i	$0.154704\pi$
$997$	14.0013	+	43.0917i	0.443426	+	1.36473i	−0.440774	+	0.897618i	$0.645296\pi$
$998$	5.35530	+	3.89085i	0.169519	+	0.123163i
$999$	−57.7263			−1.82638

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	175.2.h.b.141.2	yes	28
5.2	odd	4		875.2.n.b.799.11		56
5.3	odd	4		875.2.n.b.799.4		56
5.4	even	2		875.2.h.b.701.6		28
25.2	odd	20		875.2.n.b.449.4		56
25.6	even	5		4375.2.a.g.1.10		14
25.11	even	5	inner	175.2.h.b.36.2	✓	28
25.14	even	10		875.2.h.b.176.6		28
25.19	even	10		4375.2.a.h.1.5		14
25.23	odd	20		875.2.n.b.449.11		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
175.2.h.b.36.2	✓	28	25.11	even	5	inner
175.2.h.b.141.2	yes	28	1.1	even	1	trivial
875.2.h.b.176.6		28	25.14	even	10
875.2.h.b.701.6		28	5.4	even	2
875.2.n.b.449.4		56	25.2	odd	20
875.2.n.b.449.11		56	25.23	odd	20
875.2.n.b.799.4		56	5.3	odd	4
875.2.n.b.799.11		56	5.2	odd	4
4375.2.a.g.1.10		14	25.6	even	5
4375.2.a.h.1.5		14	25.19	even	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 175 = 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	175.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.28672 - 0.934859i) q^{2} +(-0.306518 - 0.943364i) q^{3} +(0.163661 + 0.503697i) q^{4} +(-1.08759 - 1.95375i) q^{5} +(-0.487509 + 1.50040i) q^{6} -1.00000 q^{7} +(-0.722670 + 2.22415i) q^{8} +(1.63107 - 1.18504i) q^{9} +O(q^{10})\)	\(q+(-1.28672 - 0.934859i) q^{2} +(-0.306518 - 0.943364i) q^{3} +(0.163661 + 0.503697i) q^{4} +(-1.08759 - 1.95375i) q^{5} +(-0.487509 + 1.50040i) q^{6} -1.00000 q^{7} +(-0.722670 + 2.22415i) q^{8} +(1.63107 - 1.18504i) q^{9} +(-0.427058 + 3.53068i) q^{10} +(-1.10707 - 0.804334i) q^{11} +(0.425005 - 0.308784i) q^{12} +(-4.99572 + 3.62960i) q^{13} +(1.28672 + 0.934859i) q^{14} +(-1.50974 + 1.62485i) q^{15} +(3.86608 - 2.80887i) q^{16} +(1.29518 - 3.98615i) q^{17} -3.20658 q^{18} +(-1.25582 + 3.86503i) q^{19} +(0.806104 - 0.867569i) q^{20} +(0.306518 + 0.943364i) q^{21} +(0.672555 + 2.06991i) q^{22} +(-2.37002 - 1.72192i) q^{23} +2.31969 q^{24} +(-2.63430 + 4.24976i) q^{25} +9.82128 q^{26} +(-4.02530 - 2.92455i) q^{27} +(-0.163661 - 0.503697i) q^{28} +(-1.94276 - 5.97919i) q^{29} +(3.46162 - 0.679345i) q^{30} +(0.590842 - 1.81842i) q^{31} -2.92326 q^{32} +(-0.419443 + 1.29091i) q^{33} +(-5.39303 + 3.91826i) q^{34} +(1.08759 + 1.95375i) q^{35} +(0.863843 + 0.627619i) q^{36} +(9.38622 - 6.81949i) q^{37} +(5.22915 - 3.79920i) q^{38} +(4.95531 + 3.60025i) q^{39} +(5.13141 - 1.00704i) q^{40} +(2.65111 - 1.92615i) q^{41} +(0.487509 - 1.50040i) q^{42} +5.62950 q^{43} +(0.223956 - 0.689267i) q^{44} +(-4.08921 - 1.89787i) q^{45} +(1.43981 + 4.43128i) q^{46} +(-3.21961 - 9.90893i) q^{47} +(-3.83481 - 2.78616i) q^{48} +1.00000 q^{49} +(7.36254 - 3.00556i) q^{50} -4.15739 q^{51} +(-2.64583 - 1.92230i) q^{52} +(-1.45717 - 4.48472i) q^{53} +(2.44540 + 7.52617i) q^{54} +(-0.367433 + 3.03773i) q^{55} +(0.722670 - 2.22415i) q^{56} +4.03106 q^{57} +(-3.08991 + 9.50976i) q^{58} +(0.474223 - 0.344543i) q^{59} +(-1.06552 - 0.494524i) q^{60} +(-9.79413 - 7.11585i) q^{61} +(-2.46022 + 1.78745i) q^{62} +(-1.63107 + 1.18504i) q^{63} +(-3.97074 - 2.88491i) q^{64} +(12.5246 + 5.81289i) q^{65} +(1.74653 - 1.26893i) q^{66} +(-2.48213 + 7.63921i) q^{67} +2.21978 q^{68} +(-0.897947 + 2.76360i) q^{69} +(0.427058 - 3.53068i) q^{70} +(2.86670 + 8.82278i) q^{71} +(1.45698 + 4.48413i) q^{72} +(2.15142 + 1.56310i) q^{73} -18.4527 q^{74} +(4.81653 + 1.18248i) q^{75} -2.15233 q^{76} +(1.10707 + 0.804334i) q^{77} +(-3.01039 - 9.26504i) q^{78} +(0.450117 + 1.38532i) q^{79} +(-9.69255 - 4.49847i) q^{80} +(0.343946 - 1.05856i) q^{81} -5.21192 q^{82} +(-4.54964 + 14.0024i) q^{83} +(-0.425005 + 0.308784i) q^{84} +(-9.19658 + 1.80483i) q^{85} +(-7.24361 - 5.26279i) q^{86} +(-5.04506 + 3.66545i) q^{87} +(2.58901 - 1.88102i) q^{88} +(5.37969 + 3.90858i) q^{89} +(3.48744 + 6.26486i) q^{90} +(4.99572 - 3.62960i) q^{91} +(0.479447 - 1.47559i) q^{92} -1.89654 q^{93} +(-5.12071 + 15.7599i) q^{94} +(8.91713 - 1.74999i) q^{95} +(0.896032 + 2.75770i) q^{96} +(-0.947571 - 2.91632i) q^{97} +(-1.28672 - 0.934859i) q^{98} -2.75888 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q + 6 q^{2} + 4 q^{3} - 6 q^{4} + 8 q^{5} - 15 q^{6} - 28 q^{7} - 2 q^{8} - 5 q^{9}+O(q^{10}) \) 28 * q + 6 * q^2 + 4 * q^3 - 6 * q^4 + 8 * q^5 - 15 * q^6 - 28 * q^7 - 2 * q^8 - 5 * q^9	\( 28 q + 6 q^{2} + 4 q^{3} - 6 q^{4} + 8 q^{5} - 15 q^{6} - 28 q^{7} - 2 q^{8} - 5 q^{9} - 4 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 6 q^{14} - 9 q^{15} + 16 q^{16} + 14 q^{17} - 62 q^{18} + 22 q^{19} + 20 q^{20} - 4 q^{21} + 7 q^{22} + 21 q^{23} + 38 q^{24} + 8 q^{25} - 8 q^{26} - 11 q^{27} + 6 q^{28} - 37 q^{29} + 8 q^{30} - q^{31} - 48 q^{32} + 17 q^{33} - 10 q^{34} - 8 q^{35} - 41 q^{36} + 25 q^{37} + 15 q^{38} + 24 q^{39} + 39 q^{40} + 10 q^{41} + 15 q^{42} - 18 q^{43} + 65 q^{44} + 32 q^{45} + 26 q^{46} + 54 q^{47} + 69 q^{48} + 28 q^{49} - 49 q^{50} + 2 q^{51} - 54 q^{52} - 24 q^{53} - 14 q^{54} - 46 q^{55} + 2 q^{56} - 62 q^{57} + 17 q^{58} - 19 q^{59} - 6 q^{60} - 48 q^{61} - 42 q^{62} + 5 q^{63} - 20 q^{64} + 5 q^{65} + 91 q^{66} + 11 q^{67} - 114 q^{68} + 31 q^{69} + 4 q^{70} + 12 q^{71} + 20 q^{72} - 2 q^{73} + 70 q^{74} - 24 q^{75} - 6 q^{76} + 8 q^{77} + 59 q^{78} - 72 q^{79} - 8 q^{80} - 10 q^{81} - 26 q^{82} - 34 q^{83} + 8 q^{84} + 40 q^{85} - 60 q^{86} + 20 q^{87} + 32 q^{88} + 3 q^{89} - 32 q^{90} + 8 q^{91} + 10 q^{92} - 96 q^{93} + 12 q^{94} + 71 q^{95} + 22 q^{96} + 22 q^{97} + 6 q^{98} + 62 q^{99}+O(q^{100}) \) 28 * q + 6 * q^2 + 4 * q^3 - 6 * q^4 + 8 * q^5 - 15 * q^6 - 28 * q^7 - 2 * q^8 - 5 * q^9 - 4 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 6 * q^14 - 9 * q^15 + 16 * q^16 + 14 * q^17 - 62 * q^18 + 22 * q^19 + 20 * q^20 - 4 * q^21 + 7 * q^22 + 21 * q^23 + 38 * q^24 + 8 * q^25 - 8 * q^26 - 11 * q^27 + 6 * q^28 - 37 * q^29 + 8 * q^30 - q^31 - 48 * q^32 + 17 * q^33 - 10 * q^34 - 8 * q^35 - 41 * q^36 + 25 * q^37 + 15 * q^38 + 24 * q^39 + 39 * q^40 + 10 * q^41 + 15 * q^42 - 18 * q^43 + 65 * q^44 + 32 * q^45 + 26 * q^46 + 54 * q^47 + 69 * q^48 + 28 * q^49 - 49 * q^50 + 2 * q^51 - 54 * q^52 - 24 * q^53 - 14 * q^54 - 46 * q^55 + 2 * q^56 - 62 * q^57 + 17 * q^58 - 19 * q^59 - 6 * q^60 - 48 * q^61 - 42 * q^62 + 5 * q^63 - 20 * q^64 + 5 * q^65 + 91 * q^66 + 11 * q^67 - 114 * q^68 + 31 * q^69 + 4 * q^70 + 12 * q^71 + 20 * q^72 - 2 * q^73 + 70 * q^74 - 24 * q^75 - 6 * q^76 + 8 * q^77 + 59 * q^78 - 72 * q^79 - 8 * q^80 - 10 * q^81 - 26 * q^82 - 34 * q^83 + 8 * q^84 + 40 * q^85 - 60 * q^86 + 20 * q^87 + 32 * q^88 + 3 * q^89 - 32 * q^90 + 8 * q^91 + 10 * q^92 - 96 * q^93 + 12 * q^94 + 71 * q^95 + 22 * q^96 + 22 * q^97 + 6 * q^98 + 62 * q^99

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