LMFDB - Embedded newform 855.2.ci.a.182.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [855,2,Mod(182,855)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(855, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 3, 8]))

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

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

chi := DirichletCharacter("855.182");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 855 = 3^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	855.ci (of order $12$, 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:	$6.82720937282$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			182.1
Character	$\chi$	$=$	855.182
Dual form			855.2.ci.a.653.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.70052 - 0.723603i) q^{2} +(1.70366 - 0.312339i) q^{3} +(5.03717 + 2.90821i) q^{4} +(-2.07206 - 0.840570i) q^{5} +(-4.82677 - 0.389291i) q^{6} +(2.14621 - 0.575074i) q^{7} +(-7.54477 - 7.54477i) q^{8} +(2.80489 - 1.06424i) q^{9} +O(q^{10})$	\(q+(-2.70052 - 0.723603i) q^{2} +(1.70366 - 0.312339i) q^{3} +(5.03717 + 2.90821i) q^{4} +(-2.07206 - 0.840570i) q^{5} +(-4.82677 - 0.389291i) q^{6} +(2.14621 - 0.575074i) q^{7} +(-7.54477 - 7.54477i) q^{8} +(2.80489 - 1.06424i) q^{9} +(4.98741 + 3.76933i) q^{10} +(4.78476 + 2.76248i) q^{11} +(9.48996 + 3.38129i) q^{12} +(-0.139468 - 0.520500i) q^{13} -6.21201 q^{14} +(-3.79262 - 0.784855i) q^{15} +(9.09898 + 15.7599i) q^{16} +(1.44321 + 5.38612i) q^{17} +(-8.34475 + 0.844374i) q^{18} +(-1.48370 + 4.09861i) q^{19} +(-7.99278 - 10.2601i) q^{20} +(3.47678 - 1.65007i) q^{21} +(-10.9224 - 10.9224i) q^{22} +(-0.00801235 + 0.00214690i) q^{23} +(-15.2102 - 10.4972i) q^{24} +(3.58689 + 3.48343i) q^{25} +1.50654i q^{26} +(4.44616 - 2.68917i) q^{27} +(12.4833 + 3.34488i) q^{28} -1.02540 q^{29} +(9.67415 + 4.86387i) q^{30} +(0.786008 + 1.36141i) q^{31} +(-7.64495 - 28.5313i) q^{32} +(9.01441 + 3.21185i) q^{33} -15.5897i q^{34} +(-4.93046 - 0.612446i) q^{35} +(17.2237 + 2.79646i) q^{36} +(-4.00499 - 4.00499i) q^{37} +(6.97253 - 9.99480i) q^{38} +(-0.400177 - 0.843192i) q^{39} +(9.29133 + 21.9751i) q^{40} -1.13433i q^{41} +(-10.5831 + 1.94026i) q^{42} +(0.629596 + 0.168700i) q^{43} +(16.0678 + 27.8302i) q^{44} +(-6.70647 - 0.152536i) q^{45} +0.0231910 q^{46} +(-1.62325 + 1.62325i) q^{47} +(20.4240 + 24.0075i) q^{48} +(-1.78668 + 1.03154i) q^{49} +(-7.16585 - 12.0026i) q^{50} +(4.14103 + 8.72533i) q^{51} +(0.811203 - 3.02745i) q^{52} +(-1.71225 + 6.39021i) q^{53} +(-13.9529 + 4.04492i) q^{54} +(-7.59226 - 9.74595i) q^{55} +(-20.5314 - 11.8538i) q^{56} +(-1.24755 + 7.44605i) q^{57} +(2.76911 + 0.741980i) q^{58} +7.96568 q^{59} +(-16.8216 - 14.9832i) q^{60} +0.430626 q^{61} +(-1.13752 - 4.24526i) q^{62} +(5.40785 - 3.89709i) q^{63} +46.1855i q^{64} +(-0.148531 + 1.19574i) q^{65} +(-22.0195 - 15.1965i) q^{66} +(2.66996 - 0.715415i) q^{67} +(-8.39431 + 31.3280i) q^{68} +(-0.0129797 + 0.00616015i) q^{69} +(12.8717 + 5.22162i) q^{70} +(9.28928 + 5.36317i) q^{71} +(-29.1917 - 13.1328i) q^{72} +(-2.12300 - 7.92315i) q^{73} +(7.91755 + 13.7136i) q^{74} +(7.19883 + 4.81423i) q^{75} +(-19.3933 + 16.3305i) q^{76} +(11.8577 + 3.17726i) q^{77} +(0.470552 + 2.56663i) q^{78} +(-1.00865 + 0.582344i) q^{79} +(-5.60637 - 40.3038i) q^{80} +(6.73479 - 5.97014i) q^{81} +(-0.820808 + 3.06330i) q^{82} +(13.2820 - 3.55891i) q^{83} +(22.3119 + 1.79951i) q^{84} +(1.53700 - 12.3735i) q^{85} +(-1.57817 - 0.911156i) q^{86} +(-1.74692 + 0.320272i) q^{87} +(-15.2576 - 56.9422i) q^{88} +(-3.01526 - 5.22258i) q^{89} +(18.0006 + 5.26475i) q^{90} +(-0.598652 - 1.03690i) q^{91} +(-0.0466032 - 0.0124873i) q^{92} +(1.76431 + 2.07387i) q^{93} +(5.55820 - 3.20903i) q^{94} +(6.51948 - 7.24543i) q^{95} +(-21.9358 - 46.2198i) q^{96} +(2.10597 - 7.85958i) q^{97} +(5.57141 - 1.49286i) q^{98} +(16.3606 + 2.65633i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/855\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$496$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−2.70052	−	0.723603i	−1.90956	−	0.511665i	−0.993985	−	0.109512i	$-0.965071\pi$
$2$	−2.70052	−	0.723603i	−1.90956	−	0.511665i	−0.915573	−	0.402152i	$-0.868262\pi$
$3$	1.70366	−	0.312339i	0.983606	−	0.180329i
$3$	1.70366	−	0.312339i	0.983606	−	0.180329i
$4$	5.03717	+	2.90821i	2.51859	+	1.45411i
$5$	−2.07206	−	0.840570i	−0.926654	−	0.375914i
$5$	−2.07206	−	0.840570i	−0.926654	−	0.375914i
$6$	−4.82677	−	0.389291i	−1.97052	−	0.158927i
$7$	2.14621	−	0.575074i	0.811190	−	0.217358i	0.170699	−	0.985323i	$-0.445397\pi$
$7$	2.14621	−	0.575074i	0.811190	−	0.217358i	0.640491	+	0.767966i	$0.278731\pi$
$8$	−7.54477	−	7.54477i	−2.66748	−	2.66748i
$9$	2.80489	−	1.06424i	0.934963	−	0.354746i
$10$	4.98741	+	3.76933i	1.57716	+	1.19197i
$11$	4.78476	+	2.76248i	1.44266	+	0.832919i	0.998026	−	0.0627943i	$-0.0200012\pi$
$11$	4.78476	+	2.76248i	1.44266	+	0.832919i	0.444632	+	0.895713i	$0.353335\pi$
$12$	9.48996	+	3.38129i	2.73952	+	0.976094i
$13$	−0.139468	−	0.520500i	−0.0386813	−	0.144361i	0.943884	−	0.330276i	$-0.107142\pi$
$13$	−0.139468	−	0.520500i	−0.0386813	−	0.144361i	−0.982566	+	0.185915i	$0.940475\pi$
$14$	−6.21201			−1.66023
$15$	−3.79262	−	0.784855i	−0.979252	−	0.202649i
$16$	9.09898	+	15.7599i	2.27475	+	3.93998i
$17$	1.44321	+	5.38612i	0.350029	+	1.30633i	0.886626	+	0.462488i	$0.153043\pi$
$17$	1.44321	+	5.38612i	0.350029	+	1.30633i	−0.536596	+	0.843839i	$0.680290\pi$
$18$	−8.34475	+	0.844374i	−1.96688	+	0.199021i
$19$	−1.48370	+	4.09861i	−0.340383	+	0.940287i
$19$	−1.48370	+	4.09861i	−0.340383	+	0.940287i
$20$	−7.99278	−	10.2601i	−1.78724	−	2.29423i
$21$	3.47678	−	1.65007i	0.758696	−	0.360076i
$22$	−10.9224	−	10.9224i	−2.32866	−	2.32866i
$23$	−0.00801235	+	0.00214690i	−0.00167069	+	0.000447660i	−0.259654	−	0.965702i	$-0.583609\pi$
$23$	−0.00801235	+	0.00214690i	−0.00167069	+	0.000447660i	0.257984	+	0.966149i	$0.416942\pi$
$24$	−15.2102	−	10.4972i	−3.10477	−	2.14272i
$25$	3.58689	+	3.48343i	0.717377	+	0.696685i
$26$			1.50654i			0.295457i
$27$	4.44616	−	2.68917i	0.855664	−	0.517532i
$28$	12.4833	+	3.34488i	2.35911	+	0.632123i
$29$	−1.02540			−0.190411			−0.0952057	−	0.995458i	$-0.530351\pi$
$29$	−1.02540			−0.190411			−0.0952057	+	0.995458i	$0.530351\pi$
$30$	9.67415	+	4.86387i	1.76625	+	0.888018i
$31$	0.786008	+	1.36141i	0.141171	+	0.244516i	0.927938	−	0.372735i	$-0.121580\pi$
$31$	0.786008	+	1.36141i	0.141171	+	0.244516i	−0.786767	+	0.617250i	$0.788247\pi$
$32$	−7.64495	−	28.5313i	−1.35145	−	5.04367i
$33$	9.01441	+	3.21185i	1.56921	+	0.559111i
$34$		−	15.5897i		−	2.67360i
$35$	−4.93046	−	0.612446i	−0.833401	−	0.103522i
$36$	17.2237	+	2.79646i	2.87062	+	0.466077i
$37$	−4.00499	−	4.00499i	−0.658417	−	0.658417i	0.296589	−	0.955005i	$-0.404151\pi$
$37$	−4.00499	−	4.00499i	−0.658417	−	0.658417i	−0.955005	+	0.296589i	$0.904151\pi$
$38$	6.97253	−	9.99480i	1.13109	−	1.62137i
$39$	−0.400177	−	0.843192i	−0.0640797	−	0.135019i
$40$	9.29133	+	21.9751i	1.46909	+	3.47458i
$41$		−	1.13433i		−	0.177153i	−0.996069	−	0.0885766i	$-0.971768\pi$
$41$		−	1.13433i		−	0.177153i	0.996069	−	0.0885766i	$-0.0282318\pi$
$42$	−10.5831	+	1.94026i	−1.63301	+	0.299388i
$43$	0.629596	+	0.168700i	0.0960125	+	0.0257265i	0.306505	−	0.951869i	$-0.400840\pi$
$43$	0.629596	+	0.168700i	0.0960125	+	0.0257265i	−0.210493	+	0.977595i	$0.567507\pi$
$44$	16.0678	+	27.8302i	2.42231	+	4.19556i
$45$	−6.70647	−	0.152536i	−0.999741	−	0.0227387i
$46$	0.0231910			0.00341933
$47$	−1.62325	+	1.62325i	−0.236775	+	0.236775i	−0.815513	−	0.578739i	$-0.803545\pi$
$47$	−1.62325	+	1.62325i	−0.236775	+	0.236775i	0.578739	+	0.815513i	$0.303545\pi$
$48$	20.4240	+	24.0075i	2.94795	+	3.46518i
$49$	−1.78668	+	1.03154i	−0.255241	+	0.147363i
$50$	−7.16585	−	12.0026i	−1.01340	−	1.69742i
$51$	4.14103	+	8.72533i	0.579860	+	1.22179i
$52$	0.811203	−	3.02745i	0.112494	−	0.419832i
$53$	−1.71225	+	6.39021i	−0.235196	+	0.877763i	0.742865	+	0.669442i	$0.233467\pi$
$53$	−1.71225	+	6.39021i	−0.235196	+	0.877763i	−0.978060	+	0.208321i	$0.933200\pi$
$54$	−13.9529	+	4.04492i	−1.89874	+	0.550444i
$55$	−7.59226	−	9.74595i	−1.02374	−	1.31414i
$56$	−20.5314	−	11.8538i	−2.74363	−	1.58404i
$57$	−1.24755	+	7.44605i	−0.165242	+	0.986253i
$58$	2.76911	+	0.741980i	0.363602	+	0.0974268i
$59$	7.96568			1.03704			0.518522	−	0.855064i	$-0.326482\pi$
$59$	7.96568			1.03704			0.518522	+	0.855064i	$0.326482\pi$
$60$	−16.8216	−	14.9832i	−2.17166	−	1.93432i
$61$	0.430626			0.0551360			0.0275680	−	0.999620i	$-0.491224\pi$
$61$	0.430626			0.0551360			0.0275680	+	0.999620i	$0.491224\pi$
$62$	−1.13752	−	4.24526i	−0.144465	−	0.539149i
$63$	5.40785	−	3.89709i	0.681326	−	0.490988i
$64$			46.1855i			5.77319i
$65$	−0.148531	+	1.19574i	−0.0184230	+	0.148313i
$66$	−22.0195	−	15.1965i	−2.71042	−	1.87056i
$67$	2.66996	−	0.715415i	0.326188	−	0.0874018i	−0.0920089	−	0.995758i	$-0.529329\pi$
$67$	2.66996	−	0.715415i	0.326188	−	0.0874018i	0.418197	+	0.908356i	$0.362662\pi$
$68$	−8.39431	+	31.3280i	−1.01796	+	3.79908i
$69$	−0.0129797	+	0.00616015i	−0.00156257	+	0.000741596i
$70$	12.8717	+	5.22162i	1.53846	+	0.624104i
$71$	9.28928	+	5.36317i	1.10243	+	0.636491i	0.936859	−	0.349707i	$-0.113719\pi$
$71$	9.28928	+	5.36317i	1.10243	+	0.636491i	0.165575	+	0.986197i	$0.447052\pi$
$72$	−29.1917	−	13.1328i	−3.44027	−	1.54772i
$73$	−2.12300	−	7.92315i	−0.248478	−	0.927334i	−0.971603	−	0.236617i	$-0.923961\pi$
$73$	−2.12300	−	7.92315i	−0.248478	−	0.927334i	0.723125	−	0.690718i	$-0.242705\pi$
$74$	7.91755	+	13.7136i	0.920396	+	1.59417i
$75$	7.19883	+	4.81423i	0.831249	+	0.555900i
$76$	−19.3933	+	16.3305i	−2.22456	+	1.87324i
$77$	11.8577	+	3.17726i	1.35131	+	0.362083i
$78$	0.470552	+	2.56663i	0.0532796	+	0.290613i
$79$	−1.00865	+	0.582344i	−0.113482	+	0.0655188i	−0.555667	−	0.831405i	$-0.687537\pi$
$79$	−1.00865	+	0.582344i	−0.113482	+	0.0655188i	0.442185	+	0.896924i	$0.354204\pi$
$80$	−5.60637	−	40.3038i	−0.626811	−	4.50611i
$81$	6.73479	−	5.97014i	0.748310	−	0.663349i
$82$	−0.820808	+	3.06330i	−0.0906430	+	0.338284i
$83$	13.2820	−	3.55891i	1.45789	−	0.390641i	0.559132	−	0.829079i	$-0.311135\pi$
$83$	13.2820	−	3.55891i	1.45789	−	0.390641i	0.898762	+	0.438438i	$0.144468\pi$
$84$	22.3119	+	1.79951i	2.43443	+	0.196342i
$85$	1.53700	−	12.3735i	0.166711	−	1.34209i
$86$	−1.57817	−	0.911156i	−0.170178	−	0.0982524i
$87$	−1.74692	+	0.320272i	−0.187290	+	0.0343368i
$88$	−15.2576	−	56.9422i	−1.62647	−	6.07006i
$89$	−3.01526	−	5.22258i	−0.319617	−	0.553592i	0.660791	−	0.750570i	$-0.270221\pi$
$89$	−3.01526	−	5.22258i	−0.319617	−	0.553592i	−0.980408	+	0.196977i	$0.936887\pi$
$90$	18.0006	+	5.26475i	1.89743	+	0.554953i
$91$	−0.598652	−	1.03690i	−0.0627558	−	0.108696i
$92$	−0.0466032	−	0.0124873i	−0.00485872	−	0.00130189i
$93$	1.76431	+	2.07387i	0.182950	+	0.215050i
$94$	5.55820	−	3.20903i	0.573284	−	0.330986i
$95$	6.51948	−	7.24543i	0.668885	−	0.743366i
$96$	−21.9358	−	46.2198i	−2.23882	−	4.71728i
$97$	2.10597	−	7.85958i	0.213829	−	0.798020i	−0.772747	−	0.634714i	$-0.781118\pi$
$97$	2.10597	−	7.85958i	0.213829	−	0.798020i	0.986576	−	0.163305i	$-0.0522155\pi$
$98$	5.57141	−	1.49286i	0.562798	−	0.150801i
$99$	16.3606	+	2.65633i	1.64431	+	0.266971i
$100$	7.93722	+	27.9780i	0.793722	+	2.79780i
$101$		−	10.3937i		−	1.03421i	−0.855923	−	0.517104i	$-0.827010\pi$
$101$		−	10.3937i		−	1.03421i	0.855923	−	0.517104i	$-0.172990\pi$
$102$	−4.86927	−	26.5594i	−0.482129	−	2.62977i
$103$	15.2801	+	4.09428i	1.50559	+	0.403421i	0.914968	−	0.403527i	$-0.132216\pi$
$103$	15.2801	+	4.09428i	1.50559	+	0.403421i	0.590622	+	0.806949i	$0.298883\pi$
$104$	−2.87480	+	4.97930i	−0.281898	+	0.488261i
$105$	−8.59111	+	0.496581i	−0.838406	+	0.0484613i
$106$	9.24795	−	16.0179i	0.898240	−	1.55580i
$107$	−2.82352	+	2.82352i	−0.272960	+	0.272960i	−0.830291	−	0.557330i	$-0.811826\pi$
$107$	−2.82352	+	2.82352i	−0.272960	+	0.272960i	0.557330	+	0.830291i	$0.311826\pi$
$108$	30.2168	−	0.615446i	2.90761	−	0.0592214i
$109$	−10.2010	−	5.88958i	−0.977083	−	0.564119i	−0.0756948	−	0.997131i	$-0.524117\pi$
$109$	−10.2010	−	5.88958i	−0.977083	−	0.564119i	−0.901388	+	0.433012i	$0.857451\pi$
$110$	13.4509	+	31.8130i	1.28249	+	3.03325i
$111$	−8.07405	−	5.57221i	−0.766355	−	0.528891i
$112$	28.5914	+	28.5914i	2.70163	+	2.70163i
$113$	−3.18888	+	11.9010i	−0.299984	+	1.11956i	0.637193	+	0.770704i	$0.280095\pi$
$113$	−3.18888	+	11.9010i	−0.299984	+	1.11956i	−0.937178	+	0.348853i	$0.886571\pi$
$114$	8.75702	−	19.2055i	0.820170	−	1.79876i
$115$	0.0184067	+	0.00228642i	0.00171643	+	0.000213210i
$116$	−5.16510	−	2.98207i	−0.479568	−	0.276879i
$117$	−0.945127	−	1.31152i	−0.0873770	−	0.121250i
$118$	−21.5115	−	5.76399i	−1.98030	−	0.530619i
$119$	6.19484	+	10.7298i	0.567880	+	0.983598i
$120$	22.6929	+	34.5360i	2.07157	+	3.15269i
$121$	9.76259	+	16.9093i	0.887509	+	1.53721i
$122$	−1.16291	−	0.311602i	−0.105285	−	0.0282111i
$123$	−0.354297	−	1.93252i	−0.0319459	−	0.174249i
$124$			9.14351i			0.821112i
$125$	−4.50419	−	10.2329i	−0.402867	−	0.915259i
$126$	−17.4240	+	6.61105i	−1.55225	+	0.588960i
$127$	0.396360	−	1.47923i	0.0351712	−	0.131261i	−0.946108	−	0.323851i	$-0.895022\pi$
$127$	0.396360	−	1.47923i	0.0351712	−	0.131261i	0.981279	+	0.192591i	$0.0616889\pi$
$128$	18.1301	−	67.6624i	1.60249	−	5.98056i
$129$	1.12531	+	0.0907587i	0.0990778	+	0.00799086i
$130$	1.26635	−	3.12165i	0.111066	−	0.273787i
$131$		−	0.330237i		−	0.0288529i	−0.999896	−	0.0144265i	$-0.995408\pi$
$131$		−	0.330237i		−	0.0288529i	0.999896	−	0.0144265i	$-0.00459225\pi$
$132$	36.0664	+	42.3945i	3.13918	+	3.68996i
$133$	−0.827312	+	9.64971i	−0.0717371	+	0.836736i
$134$	−7.72798			−0.667596
$135$	−11.4732	+	1.83483i	−0.987452	+	0.157917i
$136$	29.7484	−	51.5257i	2.55090	−	4.41830i
$137$	14.2748	−	14.2748i	1.21958	−	1.21958i	0.251799	−	0.967780i	$-0.418978\pi$
$137$	14.2748	−	14.2748i	1.21958	−	1.21958i	0.967780	−	0.251799i	$-0.0810221\pi$
$138$	0.0395095	−	0.00724348i	0.00336328	−	0.000616606i
$139$	2.34272	+	1.35257i	0.198707	+	0.114724i	0.596052	−	0.802946i	$-0.296735\pi$
$139$	2.34272	+	1.35257i	0.198707	+	0.114724i	−0.397345	+	0.917669i	$0.630068\pi$
$140$	−23.0545	−	17.4238i	−1.94846	−	1.47258i
$141$	−2.25845	+	3.27246i	−0.190196	+	0.275590i
$142$	−21.2051	−	21.2051i	−1.77949	−	1.77949i
$143$	0.770553	−	2.87574i	0.0644368	−	0.240482i
$144$	42.2939	+	34.5213i	3.52449	+	2.87677i
$145$	2.12469	+	0.861918i	0.176446	+	0.0715784i
$146$			22.9329i			1.89794i
$147$	−2.72170	+	2.31545i	−0.224482	+	0.190975i
$148$	−8.52647	−	31.8212i	−0.700871	−	2.61569i
$149$	−20.2478			−1.65876			−0.829380	−	0.558685i	$-0.811306\pi$
$149$	−20.2478			−1.65876			−0.829380	+	0.558685i	$0.811306\pi$
$150$	−15.9570	−	18.2100i	−1.30288	−	1.48684i
$151$	−3.30757	+	5.72887i	−0.269166	+	0.466209i	−0.968647	−	0.248442i	$-0.920081\pi$
$151$	−3.30757	+	5.72887i	−0.269166	+	0.466209i	0.699481	+	0.714652i	$0.253415\pi$
$152$	42.1173	−	19.7290i	3.41616	−	1.60023i
$153$	9.78015	+	13.5716i	0.790678	+	1.09720i
$154$	−29.7229	−	17.1605i	−2.39514	−	1.38284i
$155$	−0.484301	−	3.48161i	−0.0389000	−	0.279650i
$156$	0.436418	−	5.41110i	0.0349414	−	0.433235i
$157$	−13.6527	−	13.6527i	−1.08960	−	1.08960i	−0.995569	−	0.0940328i	$-0.970024\pi$
$157$	−13.6527	−	13.6527i	−1.08960	−	1.08960i	−0.0940328	−	0.995569i	$-0.529976\pi$
$158$	3.14527	−	0.842771i	0.250224	−	0.0670473i
$159$	−0.921173	+	11.4215i	−0.0730538	+	0.905786i
$160$	−8.14177	+	65.5448i	−0.643663	+	5.18177i
$161$	−0.0159615	+	0.00921539i	−0.00125794	+	0.000726275i
$162$	−22.5075	+	11.2492i	−1.76835	+	0.883819i
$163$	1.89962	−	1.89962i	0.148790	−	0.148790i	−0.628788	−	0.777577i	$-0.716448\pi$
$163$	1.89962	−	1.89962i	0.148790	−	0.148790i	0.777577	+	0.628788i	$0.216448\pi$
$164$	3.29889	−	5.71384i	0.257600	−	0.446176i
$165$	−15.9786	−	14.2324i	−1.24394	−	1.10799i
$166$	−38.4437			−2.98381
$167$	−3.56612	−	13.3090i	−0.275955	−	1.02988i	−0.955199	−	0.295965i	$-0.904359\pi$
$167$	−3.56612	−	13.3090i	−0.275955	−	1.02988i	0.679244	−	0.733913i	$-0.262308\pi$
$168$	−38.6809	−	13.7821i	−2.98430	−	1.06331i
$169$	11.0069	−	6.35481i	0.846682	−	0.488832i
$170$	−13.1042	+	32.3027i	−1.00505	+	2.47751i
$171$	0.200298	+	13.0752i	0.0153172	+	0.999883i
$172$	2.68077	+	2.68077i	0.204407	+	0.204407i
$173$	0.615993	−	2.29892i	0.0468331	−	0.174783i	−0.938548	−	0.345149i	$-0.887828\pi$
$173$	0.615993	−	2.29892i	0.0468331	−	0.174783i	0.985381	+	0.170366i	$0.0544949\pi$
$174$	4.94936	+	0.399177i	0.375210	+	0.0302616i
$175$	9.70143	+	5.41343i	0.733359	+	0.409217i
$176$			100.543i			7.57872i
$177$	13.5708	−	2.48800i	1.02004	−	0.187009i
$178$	4.36370	+	16.2855i	0.327073	+	1.22065i
$179$	−3.65712			−0.273346			−0.136673	−	0.990616i	$-0.543641\pi$
$179$	−3.65712			−0.273346			−0.136673	+	0.990616i	$0.543641\pi$
$180$	−33.3380	−	20.2722i	−2.48487	−	1.51100i
$181$	−3.50615	−	6.07284i	−0.260610	−	0.451391i	0.705794	−	0.708417i	$-0.250590\pi$
$181$	−3.50615	−	6.07284i	−0.260610	−	0.451391i	−0.966404	+	0.257027i	$0.917257\pi$
$182$	0.866373	+	3.23335i	0.0642199	+	0.239672i
$183$	0.733638	−	0.134501i	0.0542321	−	0.00994263i
$184$	0.0766492	+	0.0442534i	0.00565065	+	0.00326241i
$185$	4.93212	+	11.6651i	0.362617	+	0.857633i
$186$	−3.26390	−	6.87718i	−0.239321	−	0.504259i
$187$	−7.97366	+	29.7581i	−0.583092	+	2.17613i
$188$	−12.8973	+	3.45582i	−0.940633	+	0.252042i
$189$	7.99591	−	8.32840i	0.581617	−	0.605802i
$190$	−22.8488	+	14.8489i	−1.65763	+	1.07726i
$191$	−0.708850	−	0.409255i	−0.0512906	−	0.0296126i	0.474135	−	0.880452i	$-0.342761\pi$
$191$	−0.708850	−	0.409255i	−0.0512906	−	0.0296126i	−0.525426	+	0.850839i	$0.676094\pi$
$192$	14.4256	+	78.6842i	1.04107	+	5.67854i
$193$	−9.60499	+	9.60499i	−0.691382	+	0.691382i	−0.962536	−	0.271154i	$-0.912595\pi$
$193$	−9.60499	+	9.60499i	−0.691382	+	0.691382i	0.271154	+	0.962536i	$0.412595\pi$
$194$	−11.3744	+	19.7011i	−0.816637	+	1.41446i
$195$	0.120431	+	2.08352i	0.00862426	+	0.149204i
$196$	−11.9998			−0.857128
$197$	−6.31812	+	6.31812i	−0.450148	+	0.450148i	−0.895403	−	0.445256i	$-0.853113\pi$
$197$	−6.31812	+	6.31812i	−0.450148	+	0.450148i	0.445256	+	0.895403i	$0.353113\pi$
$198$	−42.2602	−	19.0121i	−3.00330	−	1.35113i
$199$	3.39686	−	1.96118i	0.240797	−	0.139024i	−0.374746	−	0.927128i	$-0.622270\pi$
$199$	3.39686	−	1.96118i	0.240797	−	0.139024i	0.615543	+	0.788103i	$0.288937\pi$
$200$	−0.780578	−	53.3439i	−0.0551952	−	3.77198i
$201$	4.32525	−	2.05276i	0.305080	−	0.144790i
$202$	−7.52088	+	28.0683i	−0.529167	+	1.97488i
$203$	−2.20071	+	0.589679i	−0.154460	+	0.0413874i
$204$	−4.51605	+	55.9940i	−0.316187	+	3.92036i
$205$	−0.953487	+	2.35041i	−0.0665944	+	0.164160i
$206$	−38.3015	−	22.1134i	−2.66859	−	1.54071i
$207$	−0.0201889	+	0.0145489i	−0.00140323	+	0.00101122i
$208$	6.93401	−	6.93401i	0.480787	−	0.480787i
$209$	−18.4215	+	15.5122i	−1.27424	+	1.07300i
$210$	23.5598	+	4.87552i	1.62578	+	0.336443i
$211$	26.2386			1.80634			0.903172	−	0.429280i	$-0.141233\pi$
$211$	26.2386			1.80634			0.903172	+	0.429280i	$0.141233\pi$
$212$	−27.2090	+	27.2090i	−1.86872	+	1.86872i
$213$	17.5009	+	6.23558i	1.19914	+	0.427255i
$214$	9.66810	−	5.58188i	0.660898	−	0.381570i
$215$	−1.16276	−	0.878776i	−0.0792995	−	0.0599320i
$216$	−53.8345	−	13.2561i	−3.66297	−	0.901961i
$217$	2.46984	+	2.46984i	0.167664	+	0.167664i
$218$	23.2864	+	23.2864i	1.57716	+	1.57716i
$219$	−6.09158	−	12.8352i	−0.411631	−	0.867324i
$220$	−9.90020	−	71.1720i	−0.667471	−	4.79841i
$221$	2.60220	−	1.50238i	0.175043	−	0.101061i
$222$	17.7721	+	20.8903i	1.19278	+	1.40206i
$223$	−10.4440	−	2.79847i	−0.699384	−	0.187399i	−0.108429	−	0.994104i	$-0.534582\pi$
$223$	−10.4440	−	2.79847i	−0.699384	−	0.187399i	−0.590955	+	0.806705i	$0.701249\pi$
$224$	−32.8153	−	56.8377i	−2.19256	−	3.79763i
$225$	13.7680	+	5.95332i	0.917867	+	0.396888i
$226$	17.2233	−	29.8316i	1.14567	−	1.98437i
$227$	−2.71637	−	10.1376i	−0.180292	−	0.672859i	−0.995589	−	0.0938168i	$-0.970093\pi$
$227$	−2.71637	−	10.1376i	−0.180292	−	0.672859i	0.815297	−	0.579042i	$-0.196573\pi$
$228$	−27.9388	+	33.8789i	−1.85029	+	2.24368i
$229$	8.80045	−	5.08094i	0.581550	−	0.335758i	−0.180199	−	0.983630i	$-0.557674\pi$
$229$	8.80045	−	5.08094i	0.581550	−	0.335758i	0.761749	+	0.647872i	$0.224341\pi$
$230$	−0.0480533	−	0.0194937i	−0.00316854	−	0.00128538i
$231$	21.1938	+	1.70933i	1.39445	+	0.112466i
$232$	7.73638	+	7.73638i	0.507919	+	0.507919i
$233$	−25.3439	+	6.79088i	−1.66034	+	0.444886i	−0.962480	−	0.271353i	$-0.912529\pi$
$233$	−25.3439	+	6.79088i	−1.66034	+	0.444886i	−0.697856	+	0.716238i	$0.745862\pi$
$234$	1.60332	+	4.22568i	0.104812	+	0.276241i
$235$	4.72792	−	1.99901i	0.308415	−	0.130401i
$236$	40.1245	+	23.1659i	2.61188	+	1.50797i
$237$	−1.53650	+	1.30715i	−0.0998065	+	0.0849088i
$238$	−8.96521	−	33.4586i	−0.581128	−	2.16880i
$239$	−10.0263	−	17.3661i	−0.648550	−	1.12332i	−0.983469	−	0.181074i	$-0.942042\pi$
$239$	−10.0263	−	17.3661i	−0.648550	−	1.12332i	0.334920	−	0.942247i	$-0.391291\pi$
$240$	−22.1398	−	66.9128i	−1.42912	−	4.31920i
$241$	−5.39672			−0.347633			−0.173817	−	0.984778i	$-0.555610\pi$
$241$	−5.39672			−0.347633			−0.173817	+	0.984778i	$0.555610\pi$
$242$	−14.1285	−	52.7282i	−0.908213	−	3.38950i
$243$	9.60906	−	12.2746i	0.616422	−	0.787416i
$244$	2.16914	+	1.25235i	0.138865	+	0.0801736i
$245$	4.56921	−	0.635588i	0.291916	−	0.0406062i
$246$	−0.441586	+	5.47517i	−0.0281545	+	0.349084i
$247$	2.34026	+	0.200640i	0.148907	+	0.0127664i
$248$	4.34124	−	16.2017i	0.275669	−	1.02881i
$249$	21.5164	−	10.2117i	1.36355	−	0.647138i
$250$	4.75910	+	30.8934i	0.300992	+	1.95387i
$251$	16.1213	−	9.30763i	1.01757	−	0.587493i	0.104169	−	0.994560i	$-0.466782\pi$
$251$	16.1213	−	9.30763i	1.01757	−	0.587493i	0.913398	+	0.407067i	$0.133448\pi$
$252$	38.5739	−	3.90315i	2.42993	−	0.245875i
$253$	−0.0442679	−	0.0118615i	−0.00278310	−	0.000745729i
$254$	−2.14076	+	3.70790i	−0.134323	+	0.232654i
$255$	−1.24622	−	21.5603i	−0.0780413	−	1.35016i
$256$	−51.7359	+	89.6091i	−3.23349	+	5.60057i
$257$	5.38253	+	20.0879i	0.335753	+	1.25305i	0.903051	+	0.429534i	$0.141322\pi$
$257$	5.38253	+	20.0879i	0.335753	+	1.25305i	−0.567298	+	0.823512i	$0.692011\pi$
$258$	−2.97324	−	1.05937i	−0.185106	−	0.0659536i
$259$	−10.8987	−	6.29237i	−0.677213	−	0.390989i
$260$	−4.22564	+	5.59119i	−0.262063	+	0.346751i
$261$	−2.87612	+	1.09127i	−0.178028	+	0.0675477i
$262$	−0.238961	+	0.891813i	−0.0147630	+	0.0550964i
$263$	−6.28893	+	23.4706i	−0.387792	+	1.44726i	0.445926	+	0.895070i	$0.352874\pi$
$263$	−6.28893	+	23.4706i	−0.387792	+	1.44726i	−0.833718	+	0.552190i	$0.813792\pi$
$264$	−43.7790	−	92.2443i	−2.69441	−	5.67725i
$265$	8.91931	−	11.8016i	0.547909	−	0.724969i
$266$	9.21674	−	25.4606i	0.565114	−	1.56109i
$267$	−6.76818	−	7.95569i	−0.414206	−	0.486881i
$268$	15.5297	+	4.16116i	0.948624	+	0.254183i
$269$	−0.233059	+	0.403669i	−0.0142098	+	0.0246121i	−0.873043	−	0.487643i	$-0.837857\pi$
$269$	−0.233059	+	0.403669i	−0.0142098	+	0.0246121i	0.858833	+	0.512256i	$0.171190\pi$
$270$	32.3112	+	3.34702i	1.96640	+	0.203693i
$271$	−7.03081	+	12.1777i	−0.427092	+	0.739744i	−0.996613	−	0.0822321i	$-0.973795\pi$
$271$	−7.03081	+	12.1777i	−0.427092	+	0.739744i	0.569522	+	0.821976i	$0.307128\pi$
$272$	−71.7530	+	71.7530i	−4.35067	+	4.35067i
$273$	−1.34376	−	1.57953i	−0.0813281	−	0.0955976i
$274$	−48.8787	+	28.2201i	−2.95287	+	1.70484i
$275$	7.53948	+	26.5760i	0.454648	+	1.60260i
$276$	−0.0832962	−	0.00671803i	−0.00501384	−	0.000404378i
$277$	−9.75387	+	2.61354i	−0.586053	+	0.157033i	−0.539649	−	0.841890i	$-0.681443\pi$
$277$	−9.75387	+	2.61354i	−0.586053	+	0.157033i	−0.0464046	+	0.998923i	$0.514776\pi$
$278$	−5.34785	−	5.34785i	−0.320743	−	0.320743i
$279$	3.65352	+	2.98209i	0.218731	+	0.178533i
$280$	32.5785	+	41.8200i	1.94694	+	2.49922i
$281$		−	30.2439i		−	1.80420i	−0.431527	−	0.902100i	$-0.642025\pi$
$281$		−	30.2439i		−	1.80420i	0.431527	−	0.902100i	$-0.357975\pi$
$282$	8.46695	−	7.20312i	0.504200	−	0.428940i
$283$	−12.4093	+	12.4093i	−0.737656	+	0.737656i	−0.972124	−	0.234468i	$-0.924665\pi$
$283$	−12.4093	+	12.4093i	−0.737656	+	0.737656i	0.234468	+	0.972124i	$0.424665\pi$
$284$	31.1945	+	54.0304i	1.85105	+	3.20611i
$285$	8.84392	−	14.3800i	0.523869	−	0.851799i
$286$	−4.16179	+	7.20843i	−0.246092	+	0.426244i
$287$	−0.652326	−	2.43452i	−0.0385056	−	0.143705i
$288$	−51.8074	−	71.8912i	−3.05278	−	4.23623i
$289$	−12.2050	+	7.04658i	−0.717944	+	0.414505i
$290$	−5.11408	−	3.86506i	−0.300309	−	0.226964i
$291$	1.13299	−	14.0478i	0.0664169	−	0.823497i
$292$	12.3483	−	46.0844i	0.722628	−	2.69689i
$293$	−6.05139	+	22.5841i	−0.353526	+	1.31938i	0.528803	+	0.848745i	$0.322641\pi$
$293$	−6.05139	+	22.5841i	−0.353526	+	1.31938i	−0.882329	+	0.470633i	$0.844026\pi$
$294$	9.02549	−	4.28348i	0.526377	−	0.249818i
$295$	−16.5054	−	6.69571i	−0.960981	−	0.389839i
$296$			60.4335i			3.51263i
$297$	28.7026	−	0.584606i	1.66549	−	0.0339223i
$298$	54.6795	+	14.6513i	3.16750	+	0.848729i
$299$	0.00223492	+	0.00387100i	0.000129249	+	0.000223866i
$300$	22.2609	+	45.1859i	1.28524	+	2.60881i
$301$	1.44826			0.0834762
$302$	13.0776	−	13.0776i	0.752531	−	0.752531i
$303$	−3.24635	−	17.7072i	−0.186498	−	1.01725i
$304$	−78.0939	+	13.9103i	−4.47899	+	0.797811i
$305$	−0.892283	−	0.361971i	−0.0510920	−	0.0207264i
$306$	−16.5911	−	43.7272i	−0.948451	−	2.49972i
$307$	−23.6170	+	6.32817i	−1.34790	+	0.361168i	−0.859358	−	0.511375i	$-0.829136\pi$
$307$	−23.6170	+	6.32817i	−1.34790	+	0.361168i	−0.488538	+	0.872542i	$0.662470\pi$
$308$	50.4892	+	50.4892i	2.87689	+	2.87689i
$309$	27.3108	+	2.20268i	1.55366	+	0.125306i
$310$	−1.21144	+	9.75261i	−0.0688051	+	0.553911i
$311$	10.9724	−	6.33495i	0.622191	−	0.359222i	−0.155531	−	0.987831i	$-0.549709\pi$
$311$	10.9724	−	6.33495i	0.622191	−	0.359222i	0.777721	+	0.628609i	$0.216375\pi$
$312$	−3.34244	+	9.38093i	−0.189228	+	0.531091i
$313$	6.29197	−	6.29197i	0.355643	−	0.355643i	−0.506561	−	0.862204i	$-0.669083\pi$
$313$	6.29197	−	6.29197i	0.355643	−	0.355643i	0.862204	+	0.506561i	$0.169083\pi$
$314$	26.9902	+	46.7485i	1.52315	+	2.63817i
$315$	−14.4812	+	3.52934i	−0.815923	+	0.198856i
$316$	−6.77432			−0.381085
$317$	16.4160	−	16.4160i	0.922014	−	0.922014i	−0.0751576	−	0.997172i	$-0.523946\pi$
$317$	16.4160	−	16.4160i	0.922014	−	0.922014i	0.997172	+	0.0751576i	$0.0239460\pi$
$318$	10.7523	−	30.1775i	0.602959	−	1.69227i
$319$	−4.90627	−	2.83264i	−0.274699	−	0.158597i
$320$	38.8221	−	95.6992i	2.17022	−	5.34975i
$321$	−3.92842	+	5.69221i	−0.219263	+	0.317708i
$322$	0.0497728	−	0.0133366i	0.00277373	−	0.000743218i
$323$	−24.2169	−	2.07622i	−1.34747	−	0.115524i
$324$	51.2868	−	10.4864i	2.84926	−	0.582578i
$325$	1.31287	−	2.35280i	0.0728248	−	0.130510i
$326$	−6.50453	+	3.75539i	−0.360253	+	0.207992i
$327$	−19.2186	−	6.84762i	−1.06279	−	0.378674i
$328$	−8.55829	+	8.55829i	−0.472553	+	0.472553i
$329$	−2.55033	+	4.41731i	−0.140604	+	0.243534i
$330$	32.8521	+	49.9971i	1.80845	+	2.75225i
$331$	4.05385	−	7.02147i	0.222820	−	0.385935i	−0.732843	−	0.680397i	$-0.761807\pi$
$331$	4.05385	−	7.02147i	0.222820	−	0.385935i	0.955663	+	0.294462i	$0.0951406\pi$
$332$	77.2540	+	20.7001i	4.23986	+	1.13607i
$333$	−15.4958	−	6.97129i	−0.849166	−	0.382024i
$334$			38.5216i			2.10781i
$335$	−6.13369	−	0.761907i	−0.335119	−	0.0416274i
$336$	57.6402	+	39.7797i	3.14453	+	2.17016i
$337$	−3.45603	−	3.45603i	−0.188262	−	0.188262i	0.606682	−	0.794944i	$-0.292500\pi$
$337$	−3.45603	−	3.45603i	−0.188262	−	0.188262i	−0.794944	+	0.606682i	$0.792500\pi$
$338$	−34.3226	+	9.19673i	−1.86691	+	0.500236i
$339$	−1.71558	+	21.2713i	−0.0931776	+	1.15530i
$340$	43.7269	−	57.8575i	2.37142	−	3.13777i
$341$			8.68532i			0.470337i
$342$	8.92032	−	35.4547i	0.482356	−	1.91717i
$343$	−14.2393	+	14.2393i	−0.768850	+	0.768850i
$344$	−3.47736	−	6.02296i	−0.187487	−	0.324736i
$345$	0.0320728	−	0.00185386i	0.00172674	−	9.98087e-5i
$346$	−3.32701	+	5.76255i	−0.178861	+	0.309796i
$347$	−11.9279	+	11.9279i	−0.640324	+	0.640324i	−0.950635	−	0.310311i	$-0.899567\pi$
$347$	−11.9279	+	11.9279i	−0.640324	+	0.640324i	0.310311	+	0.950635i	$0.399567\pi$
$348$	−9.73098	−	3.46716i	−0.521635	−	0.185859i
$349$	12.9588	+	7.48179i	0.693671	+	0.400491i	0.804986	−	0.593294i	$-0.202173\pi$
$349$	12.9588	+	7.48179i	0.693671	+	0.400491i	−0.111315	+	0.993785i	$0.535506\pi$
$350$	−22.2818	−	21.6391i	−1.19101	−	1.15666i
$351$	−2.01981	−	1.93917i	−0.107809	−	0.103505i
$352$	42.2380	−	157.634i	2.25129	−	8.40195i
$353$	−27.4686	+	7.36019i	−1.46201	+	0.391744i	−0.900183	−	0.435513i	$-0.856567\pi$
$353$	−27.4686	+	7.36019i	−1.46201	+	0.391744i	−0.561825	+	0.827256i	$0.689900\pi$
$354$	−38.4485	−	3.10097i	−2.04352	−	0.164814i
$355$	−14.7398	−	18.9211i	−0.782310	−	1.00423i
$356$		−	35.0760i		−	1.85903i
$357$	13.9052	+	16.3450i	0.735942	+	0.865067i
$358$	9.87614	+	2.64630i	0.521970	+	0.139862i
$359$	0.888521	−	1.53896i	0.0468943	−	0.0812234i	−0.841625	−	0.540062i	$-0.818401\pi$
$359$	0.888521	−	1.53896i	0.0468943	−	0.0812234i	0.888520	+	0.458838i	$0.151734\pi$
$360$	49.4479	+	51.7496i	2.60613	+	2.72744i
$361$	−14.5973	−	12.1622i	−0.768278	−	0.640116i
$362$	5.07413	+	18.9369i	0.266690	+	0.995302i
$363$	21.9135	+	25.7584i	1.15016	+	1.35197i
$364$		−	6.96403i		−	0.365015i
$365$	−2.26097	+	18.2018i	−0.118344	+	0.952725i
$366$	−2.07853	−	0.167638i	−0.108647	−	0.00876260i
$367$	1.72643	+	1.72643i	0.0901190	+	0.0901190i	0.750729	−	0.660610i	$-0.229702\pi$
$367$	1.72643	+	1.72643i	0.0901190	+	0.0901190i	−0.660610	+	0.750729i	$0.729702\pi$
$368$	−0.106739	−	0.106739i	−0.00556416	−	0.00556416i
$369$	−1.20720	−	3.18168i	−0.0628444	−	0.165632i
$370$	−4.87842	−	35.0707i	−0.253617	−	1.82324i
$371$			14.6994i			0.763154i
$372$	2.85588	+	15.5774i	0.148070	+	0.807651i
$373$	−6.10588	−	1.63606i	−0.316150	−	0.0847122i	0.0972546	−	0.995260i	$-0.468994\pi$
$373$	−6.10588	−	1.63606i	−0.316150	−	0.0847122i	−0.413405	+	0.910547i	$0.635661\pi$
$374$	43.0661	−	74.5927i	2.22690	−	3.85710i
$375$	−10.8697	−	16.0265i	−0.561310	−	0.827605i
$376$	24.4940			1.26318
$377$	0.143010	+	0.533719i	0.00736537	+	0.0274879i
$378$	−27.6196	+	16.7052i	−1.42060	+	0.859221i
$379$			15.4170i			0.791917i	0.918268	+	0.395958i	$0.129588\pi$
$379$			15.4170i			0.791917i	−0.918268	+	0.395958i	$0.870412\pi$
$380$	53.9110	−	17.5365i	2.76558	−	0.899601i
$381$	0.213237	−	2.64390i	0.0109245	−	0.135451i
$382$	1.61813	+	1.61813i	0.0827907	+	0.0827907i
$383$	−6.20029	−	6.20029i	−0.316820	−	0.316820i	0.530724	−	0.847544i	$-0.321920\pi$
$383$	−6.20029	−	6.20029i	−0.316820	−	0.316820i	−0.847544	+	0.530724i	$0.821920\pi$
$384$	9.75378	−	120.936i	0.497746	−	6.17150i
$385$	−21.8992	−	16.5507i	−1.11609	−	0.843503i
$386$	32.8887	−	18.9883i	1.67399	−	0.966479i
$387$	1.94548	−	0.196856i	0.0988945	−	0.0100068i
$388$	33.4655	−	33.4655i	1.69895	−	1.69895i
$389$	23.3887			1.18585			0.592926	−	0.805257i	$-0.297973\pi$
$389$	23.3887			1.18585			0.592926	+	0.805257i	$0.297973\pi$
$390$	1.18242	−	5.71375i	0.0598740	−	0.289327i
$391$	−0.0231270	−	0.0400571i	−0.00116958	−	0.00202577i
$392$	21.2629	+	5.69737i	1.07394	+	0.287761i
$393$	−0.103146	−	0.562610i	−0.00520303	−	0.0283799i
$394$	21.6341	−	12.4904i	1.08991	−	0.629259i
$395$	2.57948	−	0.358813i	0.129788	−	0.0180538i
$396$	74.6862	+	60.9606i	3.75312	+	3.06339i
$397$	−14.4879	+	3.88203i	−0.727129	+	0.194834i	−0.603350	−	0.797476i	$-0.706168\pi$
$397$	−14.4879	+	3.88203i	−0.727129	+	0.194834i	−0.123778	+	0.992310i	$0.539501\pi$
$398$	−10.5924	+	2.83823i	−0.530950	+	0.142268i
$399$	1.60453	+	16.6982i	0.0803270	+	0.835955i
$400$	−22.2614	+	88.2246i	−1.11307	+	4.41123i
$401$			21.1213i			1.05475i	0.849633	+	0.527374i	$0.176823\pi$
$401$			21.1213i			1.05475i	−0.849633	+	0.527374i	$0.823177\pi$
$402$	−13.1658	+	2.41375i	−0.656651	+	0.120387i
$403$	0.598989	−	0.598989i	0.0298378	−	0.0298378i
$404$	30.2270	−	52.3546i	1.50385	−	2.60474i
$405$	−18.9732	+	6.70943i	−0.942787	+	0.333394i
$406$	6.36977			0.316126
$407$	−8.09920	−	30.2266i	−0.401462	−	1.49828i
$408$	34.5875	−	97.0737i	1.71234	−	4.80587i
$409$	−11.9125	−	6.87769i	−0.589035	−	0.340080i	0.175681	−	0.984447i	$-0.443787\pi$
$409$	−11.9125	−	6.87769i	−0.589035	−	0.340080i	−0.764716	+	0.644367i	$0.777121\pi$
$410$	4.27568	−	5.65739i	0.211161	−	0.279399i
$411$	19.8608	−	28.7779i	0.979659	−	1.41951i
$412$	65.0613	+	65.0613i	3.20534	+	3.20534i
$413$	17.0960	−	4.58086i	0.841239	−	0.225409i
$414$	0.0650483	−	0.0246808i	0.00319695	−	0.00121299i
$415$	−30.5127	−	3.79019i	−1.49781	−	0.186053i
$416$	−13.7843	+	7.95839i	−0.675833	+	0.390192i
$417$	4.41366	+	1.57259i	0.216138	+	0.0770102i
$418$	60.9723	−	28.5612i	2.98225	−	1.39697i
$419$	−8.87218	−	15.3671i	−0.433434	−	0.750730i	0.563732	−	0.825958i	$-0.309365\pi$
$419$	−8.87218	−	15.3671i	−0.433434	−	0.750730i	−0.997166	+	0.0752275i	$0.976032\pi$
$420$	−44.7191	−	22.4834i	−2.18207	−	1.09708i
$421$	−14.6708	−	25.4106i	−0.715012	−	1.23844i	−0.962955	−	0.269662i	$-0.913088\pi$
$421$	−14.6708	−	25.4106i	−0.715012	−	1.23844i	0.247943	−	0.968775i	$-0.420245\pi$
$422$	−70.8581	−	18.9864i	−3.44932	−	0.924242i
$423$	−2.82550	+	6.28054i	−0.137381	+	0.305370i
$424$	61.1312	−	35.2941i	2.96879	−	1.71403i
$425$	−13.5855	+	24.3467i	−0.658996	+	1.18099i
$426$	−42.7494	−	29.5030i	−2.07121	−	1.42943i
$427$	0.924211	−	0.247642i	0.0447257	−	0.0119842i
$428$	−22.4340	+	6.01117i	−1.08439	+	0.290561i
$429$	0.414549	−	5.13995i	0.0200146	−	0.248159i
$430$	2.50417	+	3.21453i	0.120762	+	0.155018i
$431$	−33.2726	+	19.2100i	−1.60269	+	0.925311i	−0.611739	+	0.791060i	$0.709530\pi$
$431$	−33.2726	+	19.2100i	−1.60269	+	0.925311i	−0.990947	+	0.134251i	$0.957137\pi$
$432$	82.8367	+	45.6023i	3.98548	+	2.19404i
$433$	24.1836	+	6.47998i	1.16219	+	0.311408i	0.787840	−	0.615880i	$-0.211199\pi$
$433$	24.1836	+	6.47998i	1.16219	+	0.311408i	0.374349	+	0.927288i	$0.377866\pi$
$434$	−4.88269	−	8.45706i	−0.234376	−	0.405952i
$435$	3.88895	+	0.804788i	0.186461	+	0.0385866i
$436$	−34.2563	−	59.3336i	−1.64058	−	2.84157i
$437$	0.00308857	−	0.0360249i	0.000147746	−	0.00172330i
$438$	7.16284	+	39.0697i	0.342254	+	1.86682i
$439$	15.9064	−	9.18357i	0.759171	−	0.438308i	−0.0698268	−	0.997559i	$-0.522245\pi$
$439$	15.9064	−	9.18357i	0.759171	−	0.438308i	0.828998	+	0.559251i	$0.188911\pi$
$440$	−16.2491	+	130.813i	−0.774648	+	6.23626i
$441$	−3.91364	+	4.79482i	−0.186364	+	0.228325i
$442$	−8.11442	+	2.17425i	−0.385963	+	0.103419i
$443$	−18.2436	−	18.2436i	−0.866781	−	0.866781i	0.125334	−	0.992115i	$-0.460000\pi$
$443$	−18.2436	−	18.2436i	−0.866781	−	0.866781i	−0.992115	+	0.125334i	$0.960000\pi$
$444$	−24.4652	−	51.5492i	−1.16107	−	2.44642i
$445$	1.85786	+	13.3560i	0.0880710	+	0.633137i
$446$	26.1794	+	15.1147i	1.23963	+	0.715700i
$447$	−34.4952	+	6.32417i	−1.63157	+	0.299123i
$448$	26.5601	+	99.1236i	1.25485	+	4.68315i
$449$	−11.7397			−0.554030			−0.277015	−	0.960866i	$-0.589345\pi$
$449$	−11.7397			−0.554030			−0.277015	+	0.960866i	$0.589345\pi$
$450$	−32.8730	−	26.0396i	−1.54965	−	1.22752i
$451$	3.13358	−	5.42751i	0.147554	−	0.255572i
$452$	−50.6737	+	50.6737i	−2.38349	+	2.38349i
$453$	−3.84560	+	10.7931i	−0.180682	+	0.507105i
$454$			29.3425i			1.37711i
$455$	0.368861	+	2.65172i	0.0172925	+	0.124315i
$456$	65.5912	−	46.7662i	3.07159	−	2.19003i
$457$	5.19448	−	1.39186i	0.242988	−	0.0651084i	−0.135270	−	0.990809i	$-0.543190\pi$
$457$	5.19448	−	1.39186i	0.242988	−	0.0651084i	0.378257	+	0.925700i	$0.376523\pi$
$458$	−27.4424	+	7.35317i	−1.28230	+	0.343591i
$459$	20.9009	+	20.0665i	0.975573	+	0.936626i
$460$	0.0860684	+	0.0650477i	0.00401296	+	0.00303287i
$461$	15.0025	−	8.66171i	0.698737	−	0.403416i	−0.108140	−	0.994136i	$-0.534489\pi$
$461$	15.0025	−	8.66171i	0.698737	−	0.403416i	0.806877	+	0.590719i	$0.201156\pi$
$462$	−55.9976	−	19.9520i	−2.60524	−	0.928252i
$463$	22.7462	+	6.09484i	1.05711	+	0.283251i	0.745186	−	0.666857i	$-0.232361\pi$
$463$	22.7462	+	6.09484i	1.05711	+	0.283251i	0.311922	+	0.950108i	$0.399027\pi$
$464$	−9.33007	−	16.1602i	−0.433138	−	0.750216i
$465$	−1.91253	−	5.78020i	−0.0886913	−	0.268050i
$466$	73.3558			3.39814
$467$	−21.8492	+	21.8492i	−1.01106	+	1.01106i	−0.0111221	+	0.999938i	$0.503540\pi$
$467$	−21.8492	+	21.8492i	−1.01106	+	1.01106i	−0.999938	+	0.0111221i	$0.996460\pi$
$468$	−0.946595	−	9.35497i	−0.0437564	−	0.432434i
$469$	5.31888	−	3.07086i	0.245603	−	0.141799i
$470$	−14.2143	+	1.97725i	−0.655659	+	0.0912038i
$471$	−27.5237	−	18.9952i	−1.26823	−	0.875252i
$472$	−60.0993	−	60.0993i	−2.76629	−	2.76629i
$473$	2.54643	+	2.54643i	0.117085	+	0.117085i
$474$	5.09522	−	2.41818i	0.234031	−	0.111071i
$475$	−19.5991	+	9.53291i	−0.899267	+	0.437400i
$476$			72.0637i			3.30303i
$477$	1.99803	+	19.7461i	0.0914836	+	0.904110i
$478$	14.5102	+	54.1527i	0.663680	+	2.47689i
$479$	22.7133			1.03780			0.518898	−	0.854836i	$-0.326342\pi$
$479$	22.7133			1.03780			0.518898	+	0.854836i	$0.326342\pi$
$480$	6.60147	+	114.209i	0.301314	+	5.21290i
$481$	−1.52603	+	2.64316i	−0.0695811	+	0.120518i
$482$	14.5740	+	3.90508i	0.663826	+	0.177872i
$483$	−0.0243146	+	0.0206853i	−0.00110635	+	0.000941212i
$484$			113.567i			5.16213i
$485$	−10.9702	+	14.5153i	−0.498132	+	0.659107i
$486$	−34.8314	+	26.1947i	−1.57999	+	1.18822i
$487$	9.10859	+	9.10859i	0.412750	+	0.412750i	0.882695	−	0.469946i	$-0.155726\pi$
$487$	9.10859	+	9.10859i	0.412750	+	0.412750i	−0.469946	+	0.882695i	$0.655726\pi$
$488$	−3.24897	−	3.24897i	−0.147074	−	0.147074i
$489$	2.64297	−	3.82962i	0.119519	−	0.173181i
$490$	−12.7992	−	1.58987i	−0.578207	−	0.0718230i
$491$		−	32.6008i		−	1.47125i	−0.677388	−	0.735626i	$-0.736888\pi$
$491$		−	32.6008i		−	1.47125i	0.677388	−	0.735626i	$-0.263112\pi$
$492$	3.83551	−	10.7648i	0.172918	−	0.485314i
$493$	−1.47986	−	5.52291i	−0.0666496	−	0.248740i
$494$	−6.17473	−	2.23525i	−0.277814	−	0.100569i
$495$	−31.6674	−	19.2563i	−1.42335	−	0.865508i
$496$	−14.3037	+	24.7748i	−0.642257	+	1.11242i
$497$	23.0209	+	6.16844i	1.03263	+	0.276692i
$498$	−65.4948	+	12.0075i	−2.93489	+	0.538068i
$499$		−	20.8032i		−	0.931280i	−0.884974	−	0.465640i	$-0.845824\pi$
$499$		−	20.8032i		−	0.931280i	0.884974	−	0.465640i	$-0.154176\pi$
$500$	7.07109	−	64.6440i	0.316229	−	2.89097i
$501$	−10.2324	−	21.5600i	−0.457148	−	0.963232i
$502$	−50.2710	+	13.4701i	−2.24370	+	0.601198i
$503$	6.17778	−	23.0558i	0.275453	−	1.02801i	−0.680084	−	0.733135i	$-0.738057\pi$
$503$	6.17778	−	23.0558i	0.275453	−	1.02801i	0.955537	−	0.294871i	$-0.0952768\pi$
$504$	−70.2037	−	11.3983i	−3.12712	−	0.507722i
$505$	−8.73659	+	21.5363i	−0.388773	+	0.958353i
$506$	0.110963	+	0.0640648i	0.00493293	+	0.00284803i
$507$	16.7670	−	14.2643i	0.744651	−	0.633500i
$508$	6.29846	−	6.29846i	0.279449	−	0.279449i
$509$	6.39769	−	11.0811i	0.283573	−	0.491162i	−0.688689	−	0.725056i	$-0.741814\pi$
$509$	6.39769	−	11.0811i	0.283573	−	0.491162i	0.972262	+	0.233894i	$0.0751470\pi$
$510$	−12.2356	+	59.1257i	−0.541802	+	2.61813i
$511$	−9.11280	−	15.7838i	−0.403126	−	0.698236i
$512$	105.491	−	105.491i	4.66208	−	4.66208i
$513$	4.42513	+	22.2130i	0.195374	+	0.980729i
$514$		−	58.1425i		−	2.56456i
$515$	−28.2197	−	21.3276i	−1.24351	−	0.939805i
$516$	5.40442	+	3.72980i	0.237916	+	0.164195i
$517$	−12.2510	+	3.28265i	−0.538799	+	0.144371i
$518$	24.8790	+	24.8790i	1.09312	+	1.09312i
$519$	0.331398	−	4.10896i	0.0145467	−	0.180364i
$520$	10.1422	−	7.90095i	0.444766	−	0.346480i
$521$			17.2890i			0.757444i	0.925510	+	0.378722i	$0.123636\pi$
$521$			17.2890i			0.757444i	−0.925510	+	0.378722i	$0.876364\pi$
$522$	8.55668	−	0.865819i	0.374516	−	0.0378959i
$523$	0.898382	+	0.240721i	0.0392835	+	0.0105260i	0.278407	−	0.960463i	$-0.410194\pi$
$523$	0.898382	+	0.240721i	0.0392835	+	0.0105260i	−0.239124	+	0.970989i	$0.576860\pi$
$524$	0.960400	−	1.66346i	0.0419553	−	0.0726686i
$525$	18.2187	+	6.19248i	0.795130	+	0.270262i
$526$	33.9668	−	58.8322i	1.48102	−	2.56521i
$527$	−6.19832	+	6.19832i	−0.270003	+	0.270003i
$528$	31.4036	+	171.291i	1.36666	+	7.45447i
$529$	−19.9185	+	11.5000i	−0.866023	+	0.499999i
$530$	−32.6265	+	25.4166i	−1.41721	+	1.10403i
$531$	22.3429	−	8.47739i	0.969597	−	0.367887i
$532$	−32.2307	+	46.2013i	−1.39738	+	2.00308i
$533$	−0.590421	+	0.158203i	−0.0255740	+	0.00685252i
$534$	12.5209	+	26.3820i	0.541831	+	1.14166i
$535$	8.22389	−	3.47715i	0.355550	−	0.150330i
$536$	−25.5419	−	14.7466i	−1.10324	−	0.636957i
$537$	−6.23048	+	1.14226i	−0.268865	+	0.0492923i
$538$	0.921476	−	0.921476i	0.0397277	−	0.0397277i
$539$	−11.3985			−0.490967
$540$	−63.1284	−	24.1241i	−2.71661	−	1.03813i
$541$	−15.0626	−	26.0892i	−0.647593	−	1.12166i	−0.983696	−	0.179838i	$-0.942443\pi$
$541$	−15.0626	−	26.0892i	−0.647593	−	1.12166i	0.336103	−	0.941825i	$-0.390891\pi$
$542$	27.7987	−	27.7987i	1.19406	−	1.19406i
$543$	−7.87007	−	9.25092i	−0.337737	−	0.396995i
$544$	142.640	−	82.3533i	6.11564	−	3.53087i
$545$	16.1866	+	20.7783i	0.693358	+	0.890043i
$546$	2.48590	+	5.23791i	0.106387	+	0.224162i
$547$	−9.16638	−	9.16638i	−0.391926	−	0.391926i	0.483447	−	0.875373i	$-0.339384\pi$
$547$	−9.16638	−	9.16638i	−0.391926	−	0.391926i	−0.875373	+	0.483447i	$0.839384\pi$
$548$	113.419	−	30.3905i	4.84501	−	1.29822i
$549$	1.20786	−	0.458288i	0.0515501	−	0.0195593i
$550$	−1.13003	−	77.2248i	−0.0481845	−	3.29288i
$551$	1.52138	−	4.20271i	0.0648129	−	0.179041i
$552$	0.144406	+	0.0514521i	0.00614633	+	0.00218995i
$553$	−1.82988	+	1.82988i	−0.0778143	+	0.0778143i
$554$	28.2317			1.19945
$555$	12.0461	+	18.3328i	0.511328	+	0.778183i
$556$	7.86714	+	13.6263i	0.333641	+	0.577883i
$557$	−18.1439	−	4.86166i	−0.768784	−	0.205995i	−0.146950	−	0.989144i	$-0.546945\pi$
$557$	−18.1439	−	4.86166i	−0.768784	−	0.205995i	−0.621834	+	0.783149i	$0.713612\pi$
$558$	−7.70857	−	10.6969i	−0.326330	−	0.452836i
$559$		−	0.351233i		−	0.0148556i
$560$	−35.2101	−	83.2763i	−1.48790	−	3.51906i
$561$	−4.28974	+	53.1881i	−0.181113	+	2.24560i
$562$	−21.8846	+	81.6744i	−0.923145	+	3.44523i
$563$	−5.54796	+	20.7053i	−0.233819	+	0.872623i	0.744859	+	0.667222i	$0.232517\pi$
$563$	−5.54796	+	20.7053i	−0.233819	+	0.872623i	−0.978678	+	0.205401i	$0.934150\pi$
$564$	−20.8932	+	9.91588i	−0.879762	+	0.417534i
$565$	16.6112	−	21.9792i	0.698839	−	0.924674i
$566$	42.4910	−	24.5322i	1.78603	−	1.03116i
$567$	11.0210	−	16.6862i	0.462838	−	0.700753i
$568$	−29.6216	−	110.549i	−1.24289	−	4.63855i
$569$	0.115942	−	0.200818i	0.00486055	−	0.00841871i	−0.863585	−	0.504203i	$-0.831786\pi$
$569$	0.115942	−	0.200818i	0.00486055	−	0.00841871i	0.868445	+	0.495785i	$0.165120\pi$
$570$	−34.2886	+	32.4341i	−1.43619	+	1.35851i
$571$	−14.6775	−	25.4221i	−0.614233	−	1.06388i	−0.990519	−	0.137379i	$-0.956132\pi$
$571$	−14.6775	−	25.4221i	−0.614233	−	1.06388i	0.376286	−	0.926504i	$-0.377201\pi$
$572$	12.2447	−	12.2447i	0.511976	−	0.511976i
$573$	−1.33546	−	0.475828i	−0.0557898	−	0.0198780i
$574$			7.04649i			0.294115i
$575$	−0.0362179	−	0.0202097i	−0.00151039	−	0.000842804i
$576$	49.1524	+	129.545i	2.04802	+	5.39772i
$577$	22.6358	+	22.6358i	0.942341	+	0.942341i	0.998426	−	0.0560848i	$-0.0178617\pi$
$577$	22.6358	+	22.6358i	0.942341	+	0.942341i	−0.0560848	+	0.998426i	$0.517862\pi$
$578$	38.0589	−	10.1979i	1.58304	−	0.424175i
$579$	−13.3636	+	19.3636i	−0.555372	+	0.804725i
$580$	8.19577	+	10.5207i	0.340311	+	0.436847i
$581$	26.4594	−	15.2763i	1.09772	−	0.633769i
$582$	−13.2247	+	37.1166i	−0.548181	+	1.53853i
$583$	−25.8455	+	25.8455i	−1.07041	+	1.07041i
$584$	−43.7608	+	75.7959i	−1.81083	+	3.13646i
$585$	0.855940	+	3.51199i	0.0353888	+	0.145203i
$586$	32.6839	−	56.6101i	1.35016	−	2.33854i
$587$	13.9536	+	3.73885i	0.575926	+	0.154319i	0.535013	−	0.844844i	$-0.320307\pi$
$587$	13.9536	+	3.73885i	0.575926	+	0.154319i	0.0409132	+	0.999163i	$0.486973\pi$
$588$	−20.4435	+	3.74801i	−0.843076	+	0.154565i
$589$	−6.74607	+	1.20163i	−0.277967	+	0.0495123i
$590$	39.7282	+	30.0253i	1.63558	+	1.23612i
$591$	−8.79051	+	12.7373i	−0.361593	+	0.523943i
$592$	26.6769	−	99.5596i	1.09641	−	4.09188i
$593$	−6.38537	+	23.8305i	−0.262216	+	0.978603i	0.701717	+	0.712456i	$0.252417\pi$
$593$	−6.38537	+	23.8305i	−0.262216	+	0.978603i	−0.963933	+	0.266147i	$0.914249\pi$
$594$	−77.9350	−	19.1905i	−3.19771	−	0.787397i
$595$	−3.81697	−	27.4400i	−0.156481	−	1.12493i
$596$	−101.991	−	58.8848i	−4.17773	−	2.41201i
$597$	5.17453	−	4.40215i	0.211779	−	0.180168i
$598$	−0.00323440	−	0.0120709i	−0.000132264	−	0.000493617i
$599$	−5.63330	+	9.75716i	−0.230170	+	0.398667i	−0.957858	−	0.287242i	$-0.907262\pi$
$599$	−5.63330	+	9.75716i	−0.230170	+	0.398667i	0.727688	+	0.685908i	$0.240595\pi$
$600$	−17.9912	−	90.6358i	−0.734489	−	3.70019i
$601$	−6.94311	+	12.0258i	−0.283215	+	0.490543i	−0.972175	−	0.234256i	$-0.924734\pi$
$601$	−6.94311	+	12.0258i	−0.283215	+	0.490543i	0.688959	+	0.724800i	$0.258068\pi$
$602$	−3.91106	−	1.04796i	−0.159403	−	0.0427118i
$603$	6.72758	−	4.84814i	0.273968	−	0.197431i
$604$	−33.3216	+	19.2382i	−1.35584	+	0.782792i
$605$	−6.01525	−	43.2433i	−0.244555	−	1.75809i
$606$	−4.04615	+	50.1678i	−0.164364	+	2.03793i
$607$	−0.179356	+	0.669366i	−0.00727984	+	0.0271687i	−0.969470	−	0.245209i	$-0.921143\pi$
$607$	−0.179356	+	0.669366i	−0.00727984	+	0.0271687i	0.962190	+	0.272378i	$0.0878101\pi$
$608$	128.282	+	10.9982i	5.20251	+	0.446034i
$609$	−3.56508	+	1.69198i	−0.144464	+	0.0685625i
$610$	2.14771	+	1.62317i	0.0869581	+	0.0657202i
$611$	1.07129	+	0.618509i	0.0433397	+	0.0250222i
$612$	9.79534	+	96.8051i	0.395953	+	3.91311i
$613$	3.84179	+	14.3377i	0.155168	+	0.579096i	0.999091	+	0.0426310i	$0.0135740\pi$
$613$	3.84179	+	14.3377i	0.155168	+	0.579096i	−0.843923	+	0.536465i	$0.819759\pi$
$614$	68.3575			2.75868
$615$	−0.890287	+	4.30210i	−0.0358999	+	0.173478i
$616$	−65.4920	−	113.435i	−2.63875	−	4.57044i
$617$	0.693730	+	2.58904i	0.0279285	+	0.104231i	0.978483	−	0.206327i	$-0.0661510\pi$
$617$	0.693730	+	2.58904i	0.0279285	+	0.104231i	−0.950555	+	0.310557i	$0.899484\pi$
$618$	−72.1595	−	25.7105i	−2.90268	−	1.03423i
$619$	−7.94195	−	4.58529i	−0.319214	−	0.184298i	0.331828	−	0.943340i	$-0.392335\pi$
$619$	−7.94195	−	4.58529i	−0.319214	−	0.184298i	−0.651042	+	0.759042i	$0.725668\pi$
$620$	7.68576	−	18.9459i	0.308668	−	0.760887i
$621$	−0.0298508	+	0.0310921i	−0.00119787	+	0.00124768i
$622$	−34.2153	+	9.16797i	−1.37191	+	0.367602i
$623$	−9.47474	−	9.47474i	−0.379597	−	0.379597i
$624$	9.64741	−	13.9789i	0.386205	−	0.559606i
$625$	0.731491	+	24.9893i	0.0292596	+	0.999572i
$626$	−21.5445	+	12.4387i	−0.861092	+	0.497152i
$627$	−26.5388	+	32.1812i	−1.05986	+	1.28519i
$628$	−29.0660	−	108.476i	−1.15986	−	4.32865i
$629$	15.7913	−	27.3514i	0.629642	−	1.09057i
$630$	41.6606	+	0.947555i	1.65980	+	0.0377515i
$631$	18.2902	+	31.6796i	0.728123	+	1.26115i	0.957676	+	0.287850i	$0.0929403\pi$
$631$	18.2902	+	31.6796i	0.728123	+	1.26115i	−0.229553	+	0.973296i	$0.573726\pi$
$632$	12.0037	+	3.21638i	0.477481	+	0.127941i
$633$	44.7016	−	8.19537i	1.77673	−	0.325737i
$634$	−56.2104	+	32.4531i	−2.23240	+	1.28888i
$635$	−2.06468	+	2.73190i	−0.0819344	+	0.108412i
$636$	−37.8563	+	54.8532i	−1.50110	+	2.17507i
$637$	0.786102	+	0.786102i	0.0311465	+	0.0311465i
$638$	11.1998	+	11.1998i	0.443404	+	0.443404i
$639$	31.7631	+	5.15708i	1.25653	+	0.204011i
$640$	−94.4416	+	124.961i	−3.73313	+	4.93952i
$641$	−34.9209	+	20.1616i	−1.37929	+	0.796335i	−0.992074	−	0.125652i	$-0.959898\pi$
$641$	−34.9209	+	20.1616i	−1.37929	+	0.796335i	−0.387219	+	0.921988i	$0.626564\pi$
$642$	14.7277	−	12.5293i	0.581255	−	0.494493i
$643$	−16.8384	+	16.8384i	−0.664040	+	0.664040i	−0.956330	−	0.292290i	$-0.905583\pi$
$643$	−16.8384	+	16.8384i	−0.664040	+	0.664040i	0.292290	+	0.956330i	$0.405583\pi$
$644$	−0.107201			−0.00422432
$645$	−2.25542	−	1.13396i	−0.0888070	−	0.0446495i
$646$	63.8960	+	23.1303i	2.51395	+	0.910051i
$647$	30.6210	−	30.6210i	1.20384	−	1.20384i	0.230847	−	0.972990i	$-0.425850\pi$
$647$	30.6210	−	30.6210i	1.20384	−	1.20384i	0.972990	−	0.230847i	$-0.0741498\pi$
$648$	−95.8558	−	5.76916i	−3.76557	−	0.226634i
$649$	38.1139	+	22.0050i	1.49610	+	0.863774i
$650$	−5.24792	+	5.40379i	−0.205841	+	0.211954i
$651$	4.97920	+	3.43634i	0.195150	+	0.134681i
$652$	15.0932	−	4.04421i	0.591095	−	0.158383i
$653$	−1.11074	+	4.14533i	−0.0434666	+	0.162219i	−0.984248	−	0.176795i	$-0.943427\pi$
$653$	−1.11074	+	4.14533i	−0.0434666	+	0.162219i	0.940781	+	0.339015i	$0.110094\pi$
$654$	46.9454	+	32.3988i	1.83571	+	1.26689i
$655$	−0.277587	+	0.684272i	−0.0108462	+	0.0267367i
$656$	17.8770	−	10.3213i	0.697979	−	0.402979i
$657$	−14.3869	−	19.9642i	−0.561286	−	0.778876i
$658$	10.0836	−	10.0836i	0.393100	−	0.393100i
$659$	4.61645			0.179831			0.0899157	−	0.995949i	$-0.471340\pi$
$659$	4.61645			0.179831			0.0899157	+	0.995949i	$0.471340\pi$
$660$	−39.0963	−	118.160i	−1.52182	−	4.59938i
$661$	−6.52036	+	11.2936i	−0.253613	+	0.439270i	−0.964518	−	0.264018i	$-0.914952\pi$
$661$	−6.52036	+	11.2936i	−0.253613	+	0.439270i	0.710905	+	0.703288i	$0.248286\pi$
$662$	−16.0283	+	16.0283i	−0.622956	+	0.622956i
$663$	3.96399	−	3.37230i	0.153949	−	0.130969i
$664$	−127.061	−	73.3588i	−4.93093	−	2.84687i
$665$	9.82550	−	19.2994i	0.381016	−	0.748398i
$666$	36.8024	+	30.0390i	1.42606	+	1.16399i
$667$	0.00821584	−	0.00220143i	0.000318118	−	8.52396e-5i
$668$	20.7421	−	77.4106i	0.802536	−	2.99511i
$669$	−18.6671	−	1.50555i	−0.721712	−	0.0582078i
$670$	16.0129	+	6.49590i	0.618630	+	0.250959i
$671$	2.06044	+	1.18959i	0.0795423	+	0.0459238i
$672$	−73.6586	−	86.5824i	−2.84144	−	3.33999i
$673$	−9.52349	−	35.5421i	−0.367104	−	1.37005i	−0.864547	−	0.502552i	$-0.832394\pi$
$673$	−9.52349	−	35.5421i	−0.367104	−	1.37005i	0.497443	−	0.867497i	$-0.334272\pi$
$674$	6.83230	+	11.8339i	0.263170	+	0.455824i
$675$	25.3154	+	5.84212i	0.974390	+	0.224863i
$676$	73.9246			2.84325
$677$	−7.31804	−	27.3113i	−0.281255	−	1.04966i	−0.951532	−	0.307548i	$-0.900491\pi$
$677$	−7.31804	−	27.3113i	−0.281255	−	1.04966i	0.670277	−	0.742111i	$-0.266175\pi$
$678$	20.0249	−	56.2023i	0.769054	−	2.15843i
$679$		−	18.0794i		−	0.693823i
$680$	−104.952	+	81.7589i	−4.02471	+	3.13531i
$681$	−7.79416	−	16.4226i	−0.298673	−	0.629317i
$682$	6.28473	−	23.4549i	0.240655	−	0.898135i
$683$	−7.64175	−	7.64175i	−0.292403	−	0.292403i	0.545626	−	0.838029i	$-0.316292\pi$
$683$	−7.64175	−	7.64175i	−0.292403	−	0.292403i	−0.838029	+	0.545626i	$0.816292\pi$
$684$	−37.0164	+	66.4444i	−1.41536	+	2.54056i
$685$	−41.5772	+	17.5793i	−1.58858	+	0.671671i
$686$	48.7572	−	28.1500i	1.86156	−	1.07477i
$687$	13.4060	−	11.4049i	0.511469	−	0.435124i
$688$	3.06999	+	11.4574i	0.117042	+	0.436808i
$689$	3.56491			0.135812
$690$	−0.0879549	−	0.0182016i	−0.00334839	−	0.000692923i
$691$	−5.43046	+	9.40584i	−0.206585	+	0.357815i	−0.950636	−	0.310307i	$-0.899568\pi$
$691$	−5.43046	+	9.40584i	−0.206585	+	0.357815i	0.744052	+	0.668122i	$0.232902\pi$
$692$	9.78861	−	9.78861i	0.372107	−	0.372107i
$693$	36.6409	−	3.70756i	1.39187	−	0.140838i
$694$	40.8427	−	23.5805i	1.55037	−	0.895105i
$695$	−3.71734	−	4.77184i	−0.141007	−	0.181006i
$696$	15.5965	+	10.7638i	0.591184	+	0.407999i
$697$	6.10966	−	1.63708i	0.231420	−	0.0620088i
$698$	−29.5818	−	29.5818i	−1.11969	−	1.11969i
$699$	−41.0563	+	19.4852i	−1.55289	+	0.736999i
$700$	33.1244	+	55.4822i	1.25198	+	2.09703i
$701$	12.6129	+	7.28208i	0.476384	+	0.275040i	0.718908	−	0.695105i	$-0.244642\pi$
$701$	12.6129	+	7.28208i	0.476384	+	0.275040i	−0.242524	+	0.970145i	$0.577975\pi$
$702$	4.05135	+	6.69832i	0.152908	+	0.252812i
$703$	22.3571	−	10.4727i	0.843215	−	0.394986i
$704$	−127.587	+	220.986i	−4.80860	+	8.32874i
$705$	7.43037	−	4.88235i	0.279844	−	0.183880i
$706$	79.5055			2.99223
$707$	−5.97713	−	22.3069i	−0.224793	−	0.838939i
$708$	75.5940	+	26.9343i	2.84100	+	1.01225i
$709$			38.0759i			1.42997i	0.699140	+	0.714985i	$0.253566\pi$
$709$			38.0759i			1.42997i	−0.699140	+	0.714985i	$0.746434\pi$
$710$	26.1139	+	61.7627i	0.980038	+	2.31791i
$711$	−2.20939	+	2.70685i	−0.0828588	+	0.101515i
$712$	−16.6537	+	62.1526i	−0.624125	+	2.32927i
$713$	−0.00922057	−	0.00922057i	−0.000345313	−	0.000345313i
$714$	−25.7241	−	54.2018i	−0.962700	−	2.02845i
$715$	−4.01389	+	5.31101i	−0.150111	+	0.198621i
$716$	−18.4216	−	10.6357i	−0.688446	−	0.397474i
$717$	−22.5056	−	26.4543i	−0.840485	−	0.987953i
$718$	−3.51307	+	3.51307i	−0.131107	+	0.131107i
$719$	23.8704	−	41.3447i	0.890216	−	1.54190i	0.0505989	−	0.998719i	$-0.483887\pi$
$719$	23.8704	−	41.3447i	0.890216	−	1.54190i	0.839617	−	0.543179i	$-0.182780\pi$
$720$	−58.6181	−	107.081i	−2.18457	−	3.99068i
$721$	35.1487			1.30901
$722$	30.6197	+	43.4070i	1.13955	+	1.61544i
$723$	−9.19416	+	1.68561i	−0.341934	+	0.0626885i
$724$		−	40.7866i		−	1.51582i
$725$	−3.67798	−	3.57189i	−0.136597	−	0.132657i
$726$	−40.5392	−	85.4179i	−1.50455	−	3.17015i
$727$	−1.34069	+	5.00352i	−0.0497234	+	0.185570i	−0.986321	−	0.164837i	$-0.947290\pi$
$727$	−1.34069	+	5.00352i	−0.0497234	+	0.185570i	0.936597	+	0.350407i	$0.113957\pi$
$728$	−3.30645	+	12.3398i	−0.122545	+	0.457345i
$729$	12.5367	−	23.9130i	0.464322	−	0.885666i
$730$	19.2767	−	47.5183i	0.713461	−	1.75873i
$731$			3.63455i			0.134429i
$732$	4.08662	+	1.45607i	0.151046	+	0.0538178i
$733$	37.8797	+	10.1498i	1.39912	+	0.374893i	0.878028	−	0.478609i	$-0.158859\pi$
$733$	37.8797	+	10.1498i	1.39912	+	0.374893i	0.521091	+	0.853501i	$0.325525\pi$
$734$	−3.41302	−	5.91152i	−0.125977	−	0.218198i
$735$	7.58584	−	2.50997i	0.279808	−	0.0925815i
$736$	0.122508	+	0.212190i	0.00451570	+	0.00782143i
$737$	14.7514	+	3.95264i	0.543377	+	0.145597i
$738$	0.957803	+	9.46574i	0.0352572	+	0.348439i
$739$	6.34766	+	3.66483i	0.233503	+	0.134813i	0.612187	−	0.790713i	$-0.290290\pi$
$739$	6.34766	+	3.66483i	0.233503	+	0.134813i	−0.378684	+	0.925526i	$0.623623\pi$
$740$	−9.08057	+	73.1026i	−0.333808	+	2.68731i
$741$	4.04966	−	0.389132i	0.148768	−	0.0142951i
$742$	10.6365	−	39.6960i	0.390479	−	1.45729i
$743$	−6.71860	−	6.71860i	−0.246481	−	0.246481i	0.573044	−	0.819525i	$-0.305763\pi$
$743$	−6.71860	−	6.71860i	−0.246481	−	0.246481i	−0.819525	+	0.573044i	$0.805763\pi$
$744$	2.33554	−	28.9581i	0.0856251	−	1.06166i
$745$	41.9546	+	17.0196i	1.53710	+	0.623552i
$746$	15.3052	+	8.83646i	0.560363	+	0.323526i
$747$	33.4671	−	24.1176i	1.22450	−	0.882417i
$748$	−126.708	+	126.708i	−4.63289	+	4.63289i
$749$	−4.43613	+	7.68360i	−0.162093	+	0.280753i
$750$	17.7571	+	51.1453i	0.648398	+	1.86756i
$751$	0.0943248	−	0.163375i	0.00344196	−	0.00596165i	−0.864299	−	0.502978i	$-0.832238\pi$
$751$	0.0943248	−	0.163375i	0.00344196	−	0.00596165i	0.867741	+	0.497016i	$0.165571\pi$
$752$	−40.3521	−	10.8123i	−1.47149	−	0.394284i
$753$	24.5580	−	20.8923i	0.894943	−	0.761358i
$754$		−	1.54480i		−	0.0562584i
$755$	11.6690	−	9.09035i	0.424679	−	0.330832i
$756$	64.4975	−	18.6978i	2.34575	−	0.680031i
$757$	35.1444	−	9.41691i	1.27734	−	0.342263i	0.444504	−	0.895777i	$-0.353380\pi$
$757$	35.1444	−	9.41691i	1.27734	−	0.342263i	0.832840	+	0.553514i	$0.186713\pi$
$758$	11.1558	−	41.6339i	0.405196	−	1.51221i
$759$	−0.0791221	−	0.00638138i	−0.00287195	−	0.000231630i
$760$	−103.853	+	5.47713i	−3.76715	+	0.198676i
$761$	−1.85496	+	1.07096i	−0.0672421	+	0.0388223i	−0.533244	−	0.845961i	$-0.679027\pi$
$761$	−1.85496	+	1.07096i	−0.0672421	+	0.0388223i	0.466002	+	0.884784i	$0.345694\pi$
$762$	−2.48899	+	6.98563i	−0.0901666	+	0.253063i
$763$	−25.2805	−	6.77389i	−0.915216	−	0.245231i
$764$	−2.38040	−	4.12298i	−0.0861199	−	0.149164i
$765$	−8.85725	−	36.3420i	−0.320234	−	1.31395i
$766$	12.2575	+	21.2306i	0.442881	+	0.767092i
$767$	−1.11095	−	4.14614i	−0.0401142	−	0.149708i
$768$	−60.1516	+	168.822i	−2.17054	+	6.09185i
$769$	25.2326	+	14.5680i	0.909911	+	0.525337i	0.880402	−	0.474227i	$-0.157273\pi$
$769$	25.2326	+	14.5680i	0.909911	+	0.525337i	0.0295082	+	0.999565i	$0.490606\pi$
$770$	47.1631	+	60.5419i	1.69964	+	2.18178i
$771$	15.4442	+	32.5416i	0.556209	+	1.17196i
$772$	−76.3154	+	20.4486i	−2.74665	+	0.735963i
$773$	11.1965	−	41.7859i	0.402710	−	1.50293i	−0.405531	−	0.914081i	$-0.632913\pi$
$773$	11.1965	−	41.7859i	0.402710	−	1.50293i	0.808241	−	0.588852i	$-0.200420\pi$
$774$	−5.39627	−	0.876143i	−0.193965	−	0.0314923i
$775$	−1.92303	+	7.62120i	−0.0690775	+	0.273762i
$776$	−75.1878	+	43.4097i	−2.69908	+	1.55832i
$777$	−20.5330	−	7.31594i	−0.736618	−	0.262458i
$778$	−63.1616	−	16.9241i	−2.26445	−	0.606759i
$779$	4.64920	+	1.68301i	0.166575	+	0.0603000i
$780$	−5.45270	+	10.8453i	−0.195238	+	0.388324i
$781$	29.6313	+	51.3229i	1.06029	+	1.83648i
$782$	0.0334695	+	0.124910i	0.00119687	+	0.00446676i
$783$	−4.55908	+	2.75747i	−0.162928	+	0.0985439i
$784$	−32.5140	−	18.7720i	−1.16122	−	0.670428i
$785$	16.8132	+	39.7652i	0.600088	+	1.41928i
$786$	−0.128558	+	1.59398i	−0.00458552	+	0.0568553i
$787$	7.48193	−	27.9229i	0.266702	−	0.995346i	−0.694498	−	0.719494i	$-0.744374\pi$
$787$	7.48193	−	27.9229i	0.266702	−	0.995346i	0.961200	−	0.275851i	$-0.0889597\pi$
$788$	−50.1999	+	13.4510i	−1.78830	+	0.479173i
$789$	−3.38338	+	41.9501i	−0.120451	+	1.49346i
$790$	−7.22559	−	0.897540i	−0.257075	−	0.0319330i
$791$			27.3760i			0.973377i
$792$	−103.396	−	143.479i	−3.67401	−	5.09829i
$793$	−0.0600583	−	0.224141i	−0.00213273	−	0.00795946i
$794$	41.9341			1.48818
$795$	11.5093	−	22.8918i	0.408193	−	0.811889i
$796$	22.8141			0.808624
$797$	15.6669	+	4.19794i	0.554951	+	0.148699i	0.525386	−	0.850864i	$-0.323921\pi$
$797$	15.6669	+	4.19794i	0.554951	+	0.148699i	0.0295651	+	0.999563i	$0.490588\pi$
$798$	7.74979	−	46.2549i	0.274340	−	1.63741i
$799$	−11.0857	−	6.40032i	−0.392183	−	0.226427i
$800$	71.9652	−	128.969i	2.54436	−	4.55975i
$801$	−14.0155	−	11.4398i	−0.495214	−	0.404205i
$802$	15.2834	−	57.0386i	0.539677	−	2.01410i
$803$	11.7295	−	43.7751i	0.413925	−	1.54479i
$804$	27.7569	+	2.23866i	0.978910	+	0.0789514i
$805$	0.0408195	−	0.00567809i	0.00143870	−	0.000200126i
$806$	−2.05101	+	1.18415i	−0.0722439	+	0.0417100i
$807$	−0.270970	+	0.760507i	−0.00953859	+	0.0267711i
$808$	−78.4178	+	78.4178i	−2.75873	+	2.75873i
$809$	−25.2642			−0.888243			−0.444122	−	0.895966i	$-0.646484\pi$
$809$	−25.2642			−0.888243			−0.444122	+	0.895966i	$0.646484\pi$
$810$	56.0926	−	4.38990i	1.97089	−	0.154245i
$811$	−2.22680	−	3.85694i	−0.0781937	−	0.135435i	0.824277	−	0.566187i	$-0.191582\pi$
$811$	−2.22680	−	3.85694i	−0.0781937	−	0.135435i	−0.902471	+	0.430751i	$0.858249\pi$
$812$	−12.8003	−	3.42983i	−0.449202	−	0.120363i
$813$	−8.17450	+	22.9427i	−0.286692	+	0.804634i
$814$			87.4883i			3.06646i
$815$	−5.53289	+	2.33937i	−0.193809	+	0.0819444i
$816$	−99.8312	+	144.654i	−3.49479	+	5.06390i
$817$	−1.62557	+	2.33017i	−0.0568713	+	0.0815224i
$818$	27.1933	+	27.1933i	0.950791	+	0.950791i
$819$	−2.78266	−	2.27127i	−0.0972339	−	0.0793646i
$820$	−11.6384	+	9.06648i	−0.406430	+	0.316615i
$821$		−	4.31920i		−	0.150741i	−0.997156	−	0.0753705i	$-0.975986\pi$
$821$		−	4.31920i		−	0.150741i	0.997156	−	0.0753705i	$-0.0240139\pi$
$822$	−74.4583	+	63.3442i	−2.59703	+	2.20938i
$823$	13.6831	+	51.0658i	0.476961	+	1.78004i	0.613813	+	0.789452i	$0.289635\pi$
$823$	13.6831	+	51.0658i	0.476961	+	1.78004i	−0.136851	+	0.990592i	$0.543698\pi$
$824$	−84.3942	−	146.175i	−2.94001	−	5.09225i
$825$	21.1454	+	42.9216i	0.736189	+	1.49434i
$826$	−49.4829			−1.72173
$827$	−9.33828	−	2.50218i	−0.324724	−	0.0870095i	0.0927746	−	0.995687i	$-0.470426\pi$
$827$	−9.33828	−	2.50218i	−0.324724	−	0.0870095i	−0.417498	+	0.908678i	$0.637093\pi$
$828$	−0.144006	+	0.0145715i	−0.00500456	+	0.000506393i
$829$		−	6.54105i		−	0.227180i	−0.993528	−	0.113590i	$-0.963765\pi$
$829$		−	6.54105i		−	0.227180i	0.993528	−	0.113590i	$-0.0362351\pi$
$830$	79.6577	+	32.3146i	2.76496	+	1.12166i
$831$	−15.8009	+	7.49910i	−0.548128	+	0.260141i
$832$	24.0395	−	6.44138i	0.833421	−	0.223315i
$833$	−8.13457	−	8.13457i	−0.281846	−	0.281846i
$834$	−10.7812	−	7.44056i	−0.373324	−	0.257645i
$835$	−3.79787	+	30.5746i	−0.131431	+	1.05808i
$836$	−137.905	+	24.5640i	−4.76954	+	0.849564i
$837$	7.15577	+	3.93932i	0.247340	+	0.136163i
$838$	12.8399	+	47.9191i	0.443546	+	1.65534i
$839$	1.79912	+	3.11616i	0.0621124	+	0.107582i	0.895409	−	0.445244i	$-0.146883\pi$
$839$	1.79912	+	3.11616i	0.0621124	+	0.107582i	−0.833297	+	0.552825i	$0.813550\pi$
$840$	68.5645	+	61.0713i	2.36570	+	2.10716i
$841$	−27.9486			−0.963743
$842$	21.2317	+	79.2378i	0.731692	+	2.73071i
$843$	−9.44637	−	51.5252i	−0.325350	−	1.77462i
$844$	132.169	+	76.3076i	4.54943	+	2.62662i
$845$	−28.1486	+	3.91554i	−0.968340	+	0.134699i
$846$	12.1750	−	14.9162i	0.418583	−	0.512830i
$847$	30.6767	+	30.6767i	1.05406	+	1.05406i
$848$	−116.289	+	31.1595i	−3.99338	+	1.07002i
$849$	−17.2653	+	25.0171i	−0.592542	+	0.858584i
$850$	54.3054	−	55.9183i	1.86266	−	1.91798i
$851$	0.0406877	+	0.0234911i	0.00139476	+	0.000805263i
$852$	70.0205	+	82.3059i	2.39886	+	2.81976i
$853$	9.80956	+	2.62846i	0.335873	+	0.0899969i	0.422814	−	0.906217i	$-0.361042\pi$
$853$	9.80956	+	2.62846i	0.335873	+	0.0899969i	−0.0869408	+	0.996213i	$0.527709\pi$
$854$	−2.67505			−0.0915383
$855$	10.5756	−	27.2609i	0.361676	−	0.932304i
$856$	42.6057			1.45623
$857$	27.3979	+	7.34124i	0.935893	+	0.250772i	0.694366	−	0.719622i	$-0.255685\pi$
$857$	27.3979	+	7.34124i	0.935893	+	0.250772i	0.241527	+	0.970394i	$0.422352\pi$
$858$	−4.83878	+	13.5806i	−0.165193	+	0.463633i
$859$	−41.0488	−	23.6995i	−1.40057	−	0.808618i	−0.406117	−	0.913821i	$-0.633117\pi$
$859$	−41.0488	−	23.6995i	−1.40057	−	0.808618i	−0.994451	+	0.105203i	$0.966451\pi$
$860$	−3.30135	−	7.80810i	−0.112575	−	0.266254i
$861$	−1.87174	−	3.94383i	−0.0637886	−	0.134405i
$862$	103.754	−	27.8008i	3.53387	−	0.946898i
$863$	−18.4025	−	18.4025i	−0.626428	−	0.626428i	0.320740	−	0.947167i	$-0.396069\pi$
$863$	−18.4025	−	18.4025i	−0.626428	−	0.626428i	−0.947167	+	0.320740i	$0.896069\pi$
$864$	−110.716	−	106.296i	−3.76665	−	3.61627i
$865$	−3.20878	+	4.24572i	−0.109102	+	0.144359i
$866$	−60.6194	−	34.9986i	−2.05993	−	1.18930i
$867$	−18.5923	+	15.8171i	−0.631426	+	0.537176i
$868$	5.25820	+	19.6239i	0.178475	+	0.666078i
$869$	−6.43485			−0.218287
$870$	−9.91984	−	4.98740i	−0.336314	−	0.169089i
$871$	−0.744747	−	1.28994i	−0.0252348	−	0.0437079i
$872$	32.5291	+	121.400i	1.10157	+	4.11113i
$873$	−2.45746	−	24.2865i	−0.0831724	−	0.821973i
$874$	−0.0344085	+	0.0950511i	−0.00116388	+	0.00321515i
$875$	−15.5516	−	19.3717i	−0.525740	−	0.654882i
$876$	6.64324	−	82.3688i	0.224454	−	2.78299i
$877$	18.9230	+	18.9230i	0.638983	+	0.638983i	0.950305	−	0.311321i	$-0.100772\pi$
$877$	18.9230	+	18.9230i	0.638983	+	0.638983i	−0.311321	+	0.950305i	$0.600772\pi$
$878$	−49.6009	+	13.2905i	−1.67395	+	0.448533i
$879$	−3.25558	+	40.3656i	−0.109808	+	1.36150i
$880$	84.5134	−	208.331i	2.84895	−	7.02285i
$881$		−	3.03455i		−	0.102237i	−0.998693	−	0.0511183i	$-0.983721\pi$
$881$		−	3.03455i		−	0.102237i	0.998693	−	0.0511183i	$-0.0162786\pi$
$882$	14.0384	−	10.1166i	0.472699	−	0.340644i
$883$	17.0903	+	4.57933i	0.575134	+	0.154107i	0.534650	−	0.845074i	$-0.320443\pi$
$883$	17.0903	+	4.57933i	0.575134	+	0.154107i	0.0404837	+	0.999180i	$0.487110\pi$
$884$	17.4769			0.587813
$885$	−30.2109	−	6.25191i	−1.01553	−	0.210155i
$886$	36.0662	+	62.4685i	1.21167	+	2.09867i
$887$	−2.05297	−	7.66179i	−0.0689320	−	0.257258i	0.922857	−	0.385143i	$-0.125848\pi$
$887$	−2.05297	−	7.66179i	−0.0689320	−	0.257258i	−0.991789	+	0.127885i	$0.959181\pi$
$888$	18.8758	+	102.958i	0.633429	+	3.45504i
$889$		−	3.40268i		−	0.114122i
$890$	4.64728	−	37.4127i	0.155777	−	1.25407i
$891$	48.7167	−	9.96092i	1.63207	−	0.333703i
$892$	−44.4698	−	44.4698i	−1.48896	−	1.48896i
$893$	−4.24465	−	9.06146i	−0.142042	−	0.303230i
$894$	97.7313	+	7.88226i	3.26862	+	0.263622i
$895$	7.57779	+	3.07407i	0.253297	+	0.102755i
$896$		−	155.644i		−	5.19969i
$897$	0.00501661	+	0.00589680i	0.000167500	+	0.000196888i
$898$	31.7033	+	8.49486i	1.05795	+	0.283477i
$899$	−0.805970	−	1.39598i	−0.0268806	−	0.0465586i
$900$	52.0383	+	70.0282i	1.73461	+	2.33427i
$901$	−36.8896			−1.22897
$902$	−12.3897	+	12.3897i	−0.412530	+	0.412530i
$903$	2.46733	−	0.452348i	0.0821078	−	0.0150532i
$904$	113.850	−	65.7313i	3.78660	−	2.18619i
$905$	2.16033	+	15.5305i	0.0718117	+	0.516250i
$906$	18.1951	−	26.3644i	0.604491	−	0.875898i
$907$	−11.8862	+	44.3599i	−0.394675	+	1.47295i	0.427658	+	0.903941i	$0.359339\pi$
$907$	−11.8862	+	44.3599i	−0.394675	+	1.47295i	−0.822333	+	0.569006i	$0.807328\pi$
$908$	15.7996	−	58.9649i	0.524328	−	1.95682i
$909$	−11.0613	−	29.1530i	−0.366881	−	0.966945i
$910$	0.922676	−	7.42795i	0.0305864	−	0.246234i
$911$	25.8941	+	14.9500i	0.857911	+	0.495315i	0.863312	−	0.504671i	$-0.168386\pi$
$911$	25.8941	+	14.9500i	0.857911	+	0.495315i	−0.00540151	+	0.999985i	$0.501719\pi$
$912$	−128.700	+	48.0902i	−4.26170	+	1.59243i
$913$	73.3827	+	19.6628i	2.42861	+	0.650745i
$914$	−15.0350			−0.497313
$915$	−1.63320	−	0.337978i	−0.0539920	−	0.0111732i
$916$	59.1059			1.95291
$917$	−0.189911	−	0.708757i	−0.00627141	−	0.0234052i
$918$	−41.9233	−	69.3141i	−1.38367	−	2.28771i
$919$		−	7.43497i		−	0.245257i	−0.992453	−	0.122628i	$-0.960868\pi$
$919$		−	7.43497i		−	0.245257i	0.992453	−	0.122628i	$-0.0391323\pi$
$920$	−0.121624	−	0.156125i	−0.00400982	−	0.00514729i
$921$	−38.2588	+	18.1576i	−1.26067	+	0.598312i
$922$	−46.7823	+	12.5353i	−1.54069	+	0.412828i
$923$	1.49597	−	5.58305i	0.0492406	−	0.183768i
$924$	101.786	+	70.2464i	3.34851	+	2.31094i
$925$	−0.414354	−	28.3165i	−0.0136239	−	0.931042i
$926$	−57.0165	−	32.9185i	−1.87368	−	1.08177i
$927$	47.2162	−	4.77763i	1.55078	−	0.156918i
$928$	7.83911	+	29.2559i	0.257331	+	0.960373i
$929$	16.6587	+	28.8537i	0.546554	+	0.946659i	0.998507	+	0.0546173i	$0.0173939\pi$
$929$	16.6587	+	28.8537i	0.546554	+	0.946659i	−0.451954	+	0.892041i	$0.649273\pi$
$930$	0.982252	+	16.9935i	0.0322093	+	0.557238i
$931$	−1.57700	−	8.85343i	−0.0516840	−	0.290159i
$932$	−147.411	−	39.4987i	−4.82861	−	1.29382i
$933$	16.7146	−	14.2197i	0.547212	−	0.465532i
$934$	74.8144	−	43.1941i	2.44800	−	1.41335i
$935$	41.5357	−	54.9583i	1.35836	−	1.79733i
$936$	−2.76433	+	17.0259i	−0.0903551	+	0.556508i
$937$	4.78719	−	17.8660i	0.156391	−	0.583658i	−0.842592	−	0.538553i	$-0.818971\pi$
$937$	4.78719	−	17.8660i	0.156391	−	0.583658i	0.998982	−	0.0451048i	$-0.0143622\pi$
$938$	−16.5858	+	4.44416i	−0.541547	+	0.145107i
$939$	8.75413	−	12.6846i	0.285680	−	0.413946i
$940$	29.6289	+	3.68041i	0.966388	+	0.120042i
$941$	28.9338	+	16.7049i	0.943214	+	0.544565i	0.890967	−	0.454069i	$-0.150028\pi$
$941$	28.9338	+	16.7049i	0.943214	+	0.544565i	0.0522479	+	0.998634i	$0.483361\pi$
$942$	60.5835	+	71.2132i	1.97392	+	2.32025i
$943$	0.00243530	+	0.00908868i	7.93044e−5	+	0.000295968i
$944$	72.4796	+	125.538i	2.35901	+	4.08593i
$945$	−23.5686	+	10.5358i	−0.766687	+	0.342731i
$946$	−5.03410	−	8.71931i	−0.163673	−	0.283489i
$947$	−23.7767	−	6.37095i	−0.772639	−	0.207028i	−0.149102	−	0.988822i	$-0.547638\pi$
$947$	−23.7767	−	6.37095i	−0.772639	−	0.207028i	−0.623537	+	0.781794i	$0.714305\pi$
$948$	−11.5411	+	2.11589i	−0.374838	+	0.0687208i
$949$	−3.82791	+	2.21004i	−0.124259	+	0.0717410i
$950$	59.8258	−	11.5619i	1.94100	−	0.375118i
$951$	22.8398	−	33.0946i	0.740633	−	1.07316i
$952$	34.2151	−	127.692i	1.10892	−	4.13854i
$953$	22.3737	−	5.99502i	0.724756	−	0.194198i	0.122463	−	0.992473i	$-0.460921\pi$
$953$	22.3737	−	5.99502i	0.724756	−	0.194198i	0.602293	+	0.798275i	$0.294254\pi$
$954$	8.89258	−	54.7705i	0.287908	−	1.77326i
$955$	1.12477	+	1.44384i	0.0363969	+	0.0467216i
$956$		−	116.635i		−	3.77224i
$957$	−9.24335	−	3.29342i	−0.298795	−	0.106461i
$958$	−61.3377	−	16.4354i	−1.98173	−	0.531004i
$959$	22.4276	−	38.8457i	0.724225	−	1.25439i
$960$	36.2489	−	175.164i	1.16993	−	5.65340i
$961$	14.2644	−	24.7066i	0.460141	−	0.796988i
$962$	6.03369	−	6.03369i	0.194534	−	0.194534i
$963$	−4.91477	+	10.9246i	−0.158376	+	0.352039i
$964$	−27.1842	−	15.6948i	−0.875545	−	0.505496i
$965$	27.9758	−	11.8285i	0.900573	−	0.380772i
$966$	0.0806301	−	0.0382669i	0.00259423	−	0.00123122i
$967$	−9.44920	−	9.44920i	−0.303866	−	0.303866i	0.538658	−	0.842524i	$-0.318931\pi$
$967$	−9.44920	−	9.44920i	−0.303866	−	0.303866i	−0.842524	+	0.538658i	$0.818931\pi$
$968$	53.9203	−	201.233i	1.73307	−	6.46789i
$969$	−41.9058	+	4.02673i	−1.34621	+	0.129357i
$970$	40.1287	−	31.2609i	1.28845	−	1.00373i
$971$	−28.0937	−	16.2199i	−0.901570	−	0.520522i	−0.0238611	−	0.999715i	$-0.507596\pi$
$971$	−28.0937	−	16.2199i	−0.901570	−	0.520522i	−0.877709	+	0.479193i	$0.840929\pi$
$972$	84.0997	−	33.8841i	2.69750	−	1.08683i
$973$	5.80580	+	1.55566i	0.186125	+	0.0498721i
$974$	−18.0070	−	31.1890i	−0.576980	−	0.999359i
$975$	1.50180	−	4.41842i	0.0480962	−	0.141503i
$976$	3.91825	+	6.78662i	0.125420	+	0.217234i
$977$	−34.5465	−	9.25671i	−1.10524	−	0.296148i	−0.340344	−	0.940301i	$-0.610543\pi$
$977$	−34.5465	−	9.25671i	−1.10524	−	0.296148i	−0.764897	+	0.644153i	$0.777210\pi$
$978$	−9.90853	+	8.42952i	−0.316840	+	0.269546i
$979$		−	33.3183i		−	1.06486i
$980$	24.8643	+	10.0867i	0.794261	+	0.322206i
$981$	−34.8807	−	5.66326i	−1.11366	−	0.180814i
$982$	−23.5900	+	88.0391i	−0.752788	+	2.80944i
$983$	−1.31952	+	4.92451i	−0.0420861	+	0.157067i	−0.983771	−	0.179428i	$-0.942575\pi$
$983$	−1.31952	+	4.92451i	−0.0420861	+	0.157067i	0.941685	+	0.336496i	$0.109242\pi$
$984$	−11.9073	+	17.2535i	−0.379591	+	0.550021i
$985$	18.4024	−	7.78072i	0.586348	−	0.247914i
$986$			15.9856i			0.509085i
$987$	−2.96519	+	8.32214i	−0.0943831	+	0.264897i
$988$	11.2048	+	7.81662i	0.356471	+	0.248680i
$989$	−0.00540673			−0.000171924
$990$	71.5847	+	74.9168i	2.27511	+	2.38101i
$991$	−15.6282	+	27.0688i	−0.496446	+	0.859870i	−0.999992	−	0.00409904i	$-0.998695\pi$
$991$	−15.6282	+	27.0688i	−0.496446	+	0.859870i	0.503546	+	0.863969i	$0.332029\pi$
$992$	32.8337	−	32.8337i	1.04247	−	1.04247i
$993$	4.71328	−	13.2283i	0.149571	−	0.419789i
$994$	−57.7050	−	33.3160i	−1.83029	−	1.05672i
$995$	−8.68701	+	1.20839i	−0.275397	+	0.0383084i
$996$	138.080	+	11.1365i	4.37522	+	0.352872i
$997$	−44.4355	−	44.4355i	−1.40729	−	1.40729i	−0.773549	−	0.633736i	$-0.781520\pi$
$997$	−44.4355	−	44.4355i	−1.40729	−	1.40729i	−0.633736	−	0.773549i	$-0.718480\pi$
$998$	−15.0533	+	56.1796i	−0.476503	+	1.77833i
$999$	−28.5770	−	7.03672i	−0.904135	−	0.222632i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	855.2.ci.a.182.1	yes	464
5.3	odd	4	inner	855.2.ci.a.353.1	yes	464
9.5	odd	6		855.2.bx.a.752.1	yes	464
19.7	even	3		855.2.bx.a.767.116	yes	464
45.23	even	12		855.2.bx.a.68.116	✓	464
95.83	odd	12		855.2.bx.a.83.1	yes	464
171.140	odd	6	inner	855.2.ci.a.482.1	yes	464
855.653	even	12	inner	855.2.ci.a.653.1	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
855.2.bx.a.68.116	✓	464	45.23	even	12
855.2.bx.a.83.1	yes	464	95.83	odd	12
855.2.bx.a.752.1	yes	464	9.5	odd	6
855.2.bx.a.767.116	yes	464	19.7	even	3
855.2.ci.a.182.1	yes	464	1.1	even	1	trivial
855.2.ci.a.353.1	yes	464	5.3	odd	4	inner
855.2.ci.a.482.1	yes	464	171.140	odd	6	inner
855.2.ci.a.653.1	yes	464	855.653	even	12	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:	\( N \)	\(=\)	\( 855 = 3^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	855.ci (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.70052 - 0.723603i) q^{2} +(1.70366 - 0.312339i) q^{3} +(5.03717 + 2.90821i) q^{4} +(-2.07206 - 0.840570i) q^{5} +(-4.82677 - 0.389291i) q^{6} +(2.14621 - 0.575074i) q^{7} +(-7.54477 - 7.54477i) q^{8} +(2.80489 - 1.06424i) q^{9} +O(q^{10})\)	\(q+(-2.70052 - 0.723603i) q^{2} +(1.70366 - 0.312339i) q^{3} +(5.03717 + 2.90821i) q^{4} +(-2.07206 - 0.840570i) q^{5} +(-4.82677 - 0.389291i) q^{6} +(2.14621 - 0.575074i) q^{7} +(-7.54477 - 7.54477i) q^{8} +(2.80489 - 1.06424i) q^{9} +(4.98741 + 3.76933i) q^{10} +(4.78476 + 2.76248i) q^{11} +(9.48996 + 3.38129i) q^{12} +(-0.139468 - 0.520500i) q^{13} -6.21201 q^{14} +(-3.79262 - 0.784855i) q^{15} +(9.09898 + 15.7599i) q^{16} +(1.44321 + 5.38612i) q^{17} +(-8.34475 + 0.844374i) q^{18} +(-1.48370 + 4.09861i) q^{19} +(-7.99278 - 10.2601i) q^{20} +(3.47678 - 1.65007i) q^{21} +(-10.9224 - 10.9224i) q^{22} +(-0.00801235 + 0.00214690i) q^{23} +(-15.2102 - 10.4972i) q^{24} +(3.58689 + 3.48343i) q^{25} +1.50654i q^{26} +(4.44616 - 2.68917i) q^{27} +(12.4833 + 3.34488i) q^{28} -1.02540 q^{29} +(9.67415 + 4.86387i) q^{30} +(0.786008 + 1.36141i) q^{31} +(-7.64495 - 28.5313i) q^{32} +(9.01441 + 3.21185i) q^{33} -15.5897i q^{34} +(-4.93046 - 0.612446i) q^{35} +(17.2237 + 2.79646i) q^{36} +(-4.00499 - 4.00499i) q^{37} +(6.97253 - 9.99480i) q^{38} +(-0.400177 - 0.843192i) q^{39} +(9.29133 + 21.9751i) q^{40} -1.13433i q^{41} +(-10.5831 + 1.94026i) q^{42} +(0.629596 + 0.168700i) q^{43} +(16.0678 + 27.8302i) q^{44} +(-6.70647 - 0.152536i) q^{45} +0.0231910 q^{46} +(-1.62325 + 1.62325i) q^{47} +(20.4240 + 24.0075i) q^{48} +(-1.78668 + 1.03154i) q^{49} +(-7.16585 - 12.0026i) q^{50} +(4.14103 + 8.72533i) q^{51} +(0.811203 - 3.02745i) q^{52} +(-1.71225 + 6.39021i) q^{53} +(-13.9529 + 4.04492i) q^{54} +(-7.59226 - 9.74595i) q^{55} +(-20.5314 - 11.8538i) q^{56} +(-1.24755 + 7.44605i) q^{57} +(2.76911 + 0.741980i) q^{58} +7.96568 q^{59} +(-16.8216 - 14.9832i) q^{60} +0.430626 q^{61} +(-1.13752 - 4.24526i) q^{62} +(5.40785 - 3.89709i) q^{63} +46.1855i q^{64} +(-0.148531 + 1.19574i) q^{65} +(-22.0195 - 15.1965i) q^{66} +(2.66996 - 0.715415i) q^{67} +(-8.39431 + 31.3280i) q^{68} +(-0.0129797 + 0.00616015i) q^{69} +(12.8717 + 5.22162i) q^{70} +(9.28928 + 5.36317i) q^{71} +(-29.1917 - 13.1328i) q^{72} +(-2.12300 - 7.92315i) q^{73} +(7.91755 + 13.7136i) q^{74} +(7.19883 + 4.81423i) q^{75} +(-19.3933 + 16.3305i) q^{76} +(11.8577 + 3.17726i) q^{77} +(0.470552 + 2.56663i) q^{78} +(-1.00865 + 0.582344i) q^{79} +(-5.60637 - 40.3038i) q^{80} +(6.73479 - 5.97014i) q^{81} +(-0.820808 + 3.06330i) q^{82} +(13.2820 - 3.55891i) q^{83} +(22.3119 + 1.79951i) q^{84} +(1.53700 - 12.3735i) q^{85} +(-1.57817 - 0.911156i) q^{86} +(-1.74692 + 0.320272i) q^{87} +(-15.2576 - 56.9422i) q^{88} +(-3.01526 - 5.22258i) q^{89} +(18.0006 + 5.26475i) q^{90} +(-0.598652 - 1.03690i) q^{91} +(-0.0466032 - 0.0124873i) q^{92} +(1.76431 + 2.07387i) q^{93} +(5.55820 - 3.20903i) q^{94} +(6.51948 - 7.24543i) q^{95} +(-21.9358 - 46.2198i) q^{96} +(2.10597 - 7.85958i) q^{97} +(5.57141 - 1.49286i) q^{98} +(16.3606 + 2.65633i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Introduction

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