LMFDB - Embedded newform 966.2.q.g.211.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

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

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			211.1
Character	$\chi$	$=$	966.211
Dual form			966.2.q.g.673.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.415415 - 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-2.54794 - 1.63746i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(-0.415415 - 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-2.54794 - 1.63746i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.431035 + 2.99791i) q^{10} +(1.48774 - 3.25770i) q^{11} +(-0.415415 + 0.909632i) q^{12} +(0.0270409 - 0.188073i) q^{13} +(0.841254 - 0.540641i) q^{14} +(-2.90606 - 0.853295i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-1.17640 - 1.35764i) q^{17} +(-0.841254 - 0.540641i) q^{18} +(0.336450 - 0.388284i) q^{19} +(2.90606 - 0.853295i) q^{20} +(0.415415 + 0.909632i) q^{21} -3.58134 q^{22} +(-4.76027 + 0.582923i) q^{23} +1.00000 q^{24} +(1.73364 + 3.79614i) q^{25} +(-0.182311 + 0.0535312i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-0.841254 - 0.540641i) q^{28} +(-4.35185 - 5.02231i) q^{29} +(0.431035 + 2.99791i) q^{30} +(-1.36329 - 0.400298i) q^{31} +(-0.841254 + 0.540641i) q^{32} +(0.509678 - 3.54489i) q^{33} +(-0.746256 + 1.63407i) q^{34} +(1.25818 - 2.75504i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-6.45350 + 4.14741i) q^{37} +(-0.492962 - 0.144747i) q^{38} +(-0.0270409 - 0.188073i) q^{39} +(-1.98340 - 2.28897i) q^{40} +(-5.70368 - 3.66553i) q^{41} +(0.654861 - 0.755750i) q^{42} +(-7.31409 + 2.14761i) q^{43} +(1.48774 + 3.25770i) q^{44} -3.02874 q^{45} +(2.50773 + 4.08794i) q^{46} +2.51907 q^{47} +(-0.415415 - 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(2.73291 - 3.15395i) q^{50} +(-1.51124 - 0.971213i) q^{51} +(0.124428 + 0.143598i) q^{52} +(1.71439 + 11.9238i) q^{53} +(-0.959493 - 0.281733i) q^{54} +(-9.12504 + 5.86431i) q^{55} +(-0.142315 + 0.989821i) q^{56} +(0.213429 - 0.467345i) q^{57} +(-2.76063 + 6.04493i) q^{58} +(0.778932 - 5.41759i) q^{59} +(2.54794 - 1.63746i) q^{60} +(-11.3146 - 3.32225i) q^{61} +(0.202207 + 1.40638i) q^{62} +(0.654861 + 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-0.376861 + 0.434921i) q^{65} +(-3.43627 + 1.00898i) q^{66} +(5.13699 + 11.2484i) q^{67} +1.79641 q^{68} +(-4.40322 + 1.90043i) q^{69} -3.02874 q^{70} +(-2.92492 - 6.40468i) q^{71} +(0.959493 - 0.281733i) q^{72} +(9.36817 - 10.8114i) q^{73} +(6.45350 + 4.14741i) q^{74} +(2.73291 + 3.15395i) q^{75} +(0.0731176 + 0.508544i) q^{76} +(3.43627 + 1.00898i) q^{77} +(-0.159844 + 0.102726i) q^{78} +(2.08075 - 14.4719i) q^{79} +(-1.25818 + 2.75504i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.964892 + 6.71097i) q^{82} +(11.7111 - 7.52625i) q^{83} +(-0.959493 - 0.281733i) q^{84} +(0.774316 + 5.38548i) q^{85} +(4.99191 + 5.76098i) q^{86} +(-5.59052 - 3.59281i) q^{87} +(2.34528 - 2.70660i) q^{88} +(-10.2775 + 3.01775i) q^{89} +(1.25818 + 2.75504i) q^{90} +0.190007 q^{91} +(2.67677 - 3.97931i) q^{92} -1.42084 q^{93} +(-1.04646 - 2.29143i) q^{94} +(-1.49305 + 0.438400i) q^{95} +(-0.654861 + 0.755750i) q^{96} +(-4.85431 - 3.11967i) q^{97} +(0.654861 + 0.755750i) q^{98} +(-0.509678 - 3.54489i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{2}{11}\right)$

Coefficient data

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

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

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

$2$	−0.415415	−	0.909632i	−0.293743	−	0.643207i
$2$	−0.415415	−	0.909632i	−0.293743	−	0.643207i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	−2.54794	−	1.63746i	−1.13947	−	0.732295i	−0.171957	−	0.985104i	$-0.555009\pi$
$5$	−2.54794	−	1.63746i	−1.13947	−	0.732295i	−0.967516	+	0.252810i	$0.918645\pi$
$6$	−0.654861	−	0.755750i	−0.267346	−	0.308533i
$7$	0.142315	+	0.989821i	0.0537900	+	0.374117i
$7$	0.142315	+	0.989821i	0.0537900	+	0.374117i
$8$	0.959493	+	0.281733i	0.339232	+	0.0996075i
$9$	0.841254	−	0.540641i	0.280418	−	0.180214i
$10$	−0.431035	+	2.99791i	−0.136305	+	0.948023i
$11$	1.48774	−	3.25770i	0.448572	−	0.982235i	−0.541373	−	0.840782i	$-0.682095\pi$
$11$	1.48774	−	3.25770i	0.448572	−	0.982235i	0.989945	−	0.141453i	$-0.0451773\pi$
$12$	−0.415415	+	0.909632i	−0.119920	+	0.262588i
$13$	0.0270409	−	0.188073i	0.00749978	−	0.0521621i	−0.985728	−	0.168346i	$-0.946157\pi$
$13$	0.0270409	−	0.188073i	0.00749978	−	0.0521621i	0.993228	+	0.116184i	$0.0370663\pi$
$14$	0.841254	−	0.540641i	0.224834	−	0.144492i
$15$	−2.90606	−	0.853295i	−0.750340	−	0.220320i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	−1.17640	−	1.35764i	−0.285319	−	0.329275i	0.594939	−	0.803771i	$-0.297176\pi$
$17$	−1.17640	−	1.35764i	−0.285319	−	0.329275i	−0.880258	+	0.474495i	$0.842631\pi$
$18$	−0.841254	−	0.540641i	−0.198285	−	0.127430i
$19$	0.336450	−	0.388284i	0.0771869	−	0.0890785i	−0.715843	−	0.698262i	$-0.753957\pi$
$19$	0.336450	−	0.388284i	0.0771869	−	0.0890785i	0.793029	+	0.609183i	$0.208503\pi$
$20$	2.90606	−	0.853295i	0.649814	−	0.190803i
$21$	0.415415	+	0.909632i	0.0906510	+	0.198498i
$22$	−3.58134			−0.763545
$23$	−4.76027	+	0.582923i	−0.992586	+	0.121548i
$23$	−4.76027	+	0.582923i	−0.992586	+	0.121548i
$24$	1.00000			0.204124
$25$	1.73364	+	3.79614i	0.346728	+	0.759228i
$26$	−0.182311	+	0.0535312i	−0.0357541	+	0.0104983i
$27$	0.654861	−	0.755750i	0.126028	−	0.145444i
$28$	−0.841254	−	0.540641i	−0.158982	−	0.102172i
$29$	−4.35185	−	5.02231i	−0.808119	−	0.932619i	0.190678	−	0.981653i	$-0.438931\pi$
$29$	−4.35185	−	5.02231i	−0.808119	−	0.932619i	−0.998797	+	0.0490337i	$0.984386\pi$
$30$	0.431035	+	2.99791i	0.0786958	+	0.547341i
$31$	−1.36329	−	0.400298i	−0.244854	−	0.0718957i	0.157003	−	0.987598i	$-0.449817\pi$
$31$	−1.36329	−	0.400298i	−0.244854	−	0.0718957i	−0.401857	+	0.915703i	$0.631635\pi$
$32$	−0.841254	+	0.540641i	−0.148714	+	0.0955727i
$33$	0.509678	−	3.54489i	0.0887236	−	0.617086i
$34$	−0.746256	+	1.63407i	−0.127982	+	0.280241i
$35$	1.25818	−	2.75504i	0.212672	−	0.465687i
$36$	−0.142315	+	0.989821i	−0.0237191	+	0.164970i
$37$	−6.45350	+	4.14741i	−1.06095	+	0.681830i	−0.950080	−	0.312005i	$-0.898999\pi$
$37$	−6.45350	+	4.14741i	−1.06095	+	0.681830i	−0.110868	+	0.993835i	$0.535363\pi$
$38$	−0.492962	−	0.144747i	−0.0799690	−	0.0234810i
$39$	−0.0270409	−	0.188073i	−0.00433000	−	0.0301158i
$40$	−1.98340	−	2.28897i	−0.313604	−	0.361918i
$41$	−5.70368	−	3.66553i	−0.890766	−	0.572460i	0.0132727	−	0.999912i	$-0.495775\pi$
$41$	−5.70368	−	3.66553i	−0.890766	−	0.572460i	−0.904038	+	0.427452i	$0.859411\pi$
$42$	0.654861	−	0.755750i	0.101047	−	0.116615i
$43$	−7.31409	+	2.14761i	−1.11539	+	0.327507i	−0.786949	−	0.617018i	$-0.788341\pi$
$43$	−7.31409	+	2.14761i	−1.11539	+	0.327507i	−0.328439	+	0.944525i	$0.606522\pi$
$44$	1.48774	+	3.25770i	0.224286	+	0.491117i
$45$	−3.02874			−0.451498
$46$	2.50773	+	4.08794i	0.369745	+	0.602734i
$47$	2.51907			0.367444			0.183722	−	0.982978i	$-0.441185\pi$
$47$	2.51907			0.367444			0.183722	+	0.982978i	$0.441185\pi$
$48$	−0.415415	−	0.909632i	−0.0599600	−	0.131294i
$49$	−0.959493	+	0.281733i	−0.137070	+	0.0402475i
$50$	2.73291	−	3.15395i	0.386492	−	0.446035i
$51$	−1.51124	−	0.971213i	−0.211616	−	0.135997i
$52$	0.124428	+	0.143598i	0.0172551	+	0.0199134i
$53$	1.71439	+	11.9238i	0.235489	+	1.63786i	0.673709	+	0.738997i	$0.264700\pi$
$53$	1.71439	+	11.9238i	0.235489	+	1.63786i	−0.438220	+	0.898868i	$0.644391\pi$
$54$	−0.959493	−	0.281733i	−0.130570	−	0.0383389i
$55$	−9.12504	+	5.86431i	−1.23042	+	0.790743i
$56$	−0.142315	+	0.989821i	−0.0190176	+	0.132270i
$57$	0.213429	−	0.467345i	0.0282694	−	0.0619013i
$58$	−2.76063	+	6.04493i	−0.362488	+	0.793738i
$59$	0.778932	−	5.41759i	0.101408	−	0.705310i	−0.874164	−	0.485631i	$-0.838590\pi$
$59$	0.778932	−	5.41759i	0.101408	−	0.705310i	0.975572	−	0.219679i	$-0.0705011\pi$
$60$	2.54794	−	1.63746i	0.328937	−	0.211395i
$61$	−11.3146	−	3.32225i	−1.44868	−	0.425371i	−0.539575	−	0.841937i	$-0.681415\pi$
$61$	−11.3146	−	3.32225i	−1.44868	−	0.425371i	−0.909105	+	0.416567i	$0.863233\pi$
$62$	0.202207	+	1.40638i	0.0256803	+	0.178611i
$63$	0.654861	+	0.755750i	0.0825047	+	0.0952155i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	−0.376861	+	0.434921i	−0.0467439	+	0.0539453i
$66$	−3.43627	+	1.00898i	−0.422976	+	0.124197i
$67$	5.13699	+	11.2484i	0.627584	+	1.37422i	0.909873	+	0.414887i	$0.136179\pi$
$67$	5.13699	+	11.2484i	0.627584	+	1.37422i	−0.282289	+	0.959329i	$0.591094\pi$
$68$	1.79641			0.217847
$69$	−4.40322	+	1.90043i	−0.530085	+	0.228785i
$70$	−3.02874			−0.362004
$71$	−2.92492	−	6.40468i	−0.347124	−	0.760096i	−0.999997	−	0.00262790i	$-0.999164\pi$
$71$	−2.92492	−	6.40468i	−0.347124	−	0.760096i	0.652872	−	0.757468i	$-0.273564\pi$
$72$	0.959493	−	0.281733i	0.113077	−	0.0332025i
$73$	9.36817	−	10.8114i	1.09646	−	1.26538i	0.134881	−	0.990862i	$-0.456935\pi$
$73$	9.36817	−	10.8114i	1.09646	−	1.26538i	0.961581	−	0.274522i	$-0.0885196\pi$
$74$	6.45350	+	4.14741i	0.750204	+	0.482127i
$75$	2.73291	+	3.15395i	0.315569	+	0.364186i
$76$	0.0731176	+	0.508544i	0.00838716	+	0.0583340i
$77$	3.43627	+	1.00898i	0.391600	+	0.114984i
$78$	−0.159844	+	0.102726i	−0.0180988	+	0.0116314i
$79$	2.08075	−	14.4719i	0.234103	−	1.62822i	−0.445951	−	0.895058i	$-0.647134\pi$
$79$	2.08075	−	14.4719i	0.234103	−	1.62822i	0.680053	−	0.733163i	$-0.261957\pi$
$80$	−1.25818	+	2.75504i	−0.140669	+	0.308023i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	−0.964892	+	6.71097i	−0.106554	+	0.741103i
$83$	11.7111	−	7.52625i	1.28546	−	0.826114i	0.293907	−	0.955834i	$-0.405044\pi$
$83$	11.7111	−	7.52625i	1.28546	−	0.826114i	0.991551	+	0.129720i	$0.0414079\pi$
$84$	−0.959493	−	0.281733i	−0.104689	−	0.0307395i
$85$	0.774316	+	5.38548i	0.0839863	+	0.584138i
$86$	4.99191	+	5.76098i	0.538292	+	0.621222i
$87$	−5.59052	−	3.59281i	−0.599367	−	0.385190i
$88$	2.34528	−	2.70660i	0.250008	−	0.288524i
$89$	−10.2775	+	3.01775i	−1.08941	+	0.319881i	−0.776639	−	0.629946i	$-0.783077\pi$
$89$	−10.2775	+	3.01775i	−1.08941	+	0.319881i	−0.312776	+	0.949827i	$0.601259\pi$
$90$	1.25818	+	2.75504i	0.132624	+	0.290407i
$91$	0.190007			0.0199182
$92$	2.67677	−	3.97931i	0.279073	−	0.414872i
$93$	−1.42084			−0.147335
$94$	−1.04646	−	2.29143i	−0.107934	−	0.236343i
$95$	−1.49305	+	0.438400i	−0.153184	+	0.0449789i
$96$	−0.654861	+	0.755750i	−0.0668364	+	0.0771334i
$97$	−4.85431	−	3.11967i	−0.492880	−	0.316755i	0.270483	−	0.962725i	$-0.412817\pi$
$97$	−4.85431	−	3.11967i	−0.492880	−	0.316755i	−0.763363	+	0.645970i	$0.776453\pi$
$98$	0.654861	+	0.755750i	0.0661509	+	0.0763422i
$99$	−0.509678	−	3.54489i	−0.0512246	−	0.356275i
$100$	−4.00422	−	1.17575i	−0.400422	−	0.117575i
$101$	5.41455	−	3.47972i	0.538767	−	0.346245i	−0.242789	−	0.970079i	$-0.578062\pi$
$101$	5.41455	−	3.47972i	0.538767	−	0.346245i	0.781557	+	0.623834i	$0.214426\pi$
$102$	−0.255656	+	1.77813i	−0.0253137	+	0.176061i
$103$	2.37127	−	5.19237i	0.233649	−	0.511619i	−0.756097	−	0.654459i	$-0.772896\pi$
$103$	2.37127	−	5.19237i	0.233649	−	0.511619i	0.989746	+	0.142840i	$0.0456236\pi$
$104$	0.0789319	−	0.172837i	0.00773991	−	0.0169480i
$105$	0.431035	−	2.99791i	0.0420647	−	0.292566i
$106$	10.1341	−	6.51280i	0.984313	−	0.632579i
$107$	5.86722	+	1.72277i	0.567205	+	0.166547i	0.552747	−	0.833349i	$-0.313579\pi$
$107$	5.86722	+	1.72277i	0.567205	+	0.166547i	0.0144582	+	0.999895i	$0.495398\pi$
$108$	0.142315	+	0.989821i	0.0136943	+	0.0952456i
$109$	9.59507	+	11.0733i	0.919041	+	1.06063i	0.997966	+	0.0637489i	$0.0203057\pi$
$109$	9.59507	+	11.0733i	0.919041	+	1.06063i	−0.0789254	+	0.996881i	$0.525149\pi$
$110$	9.12504	+	5.86431i	0.870039	+	0.559140i
$111$	−5.02363	+	5.79757i	−0.476821	+	0.550281i
$112$	0.959493	−	0.281733i	0.0906636	−	0.0266212i
$113$	−5.06254	−	11.0854i	−0.476243	−	1.04283i	−0.983479	−	0.181020i	$-0.942060\pi$
$113$	−5.06254	−	11.0854i	−0.476243	−	1.04283i	0.507236	−	0.861807i	$-0.330667\pi$
$114$	−0.513773			−0.0481193
$115$	13.0834	+	6.30951i	1.22003	+	0.588365i
$116$	6.64546			0.617016
$117$	−0.0789319	−	0.172837i	−0.00729725	−	0.0159788i
$118$	−5.25159	+	1.54201i	−0.483448	+	0.141953i
$119$	1.17640	−	1.35764i	0.107840	−	0.124454i
$120$	−2.54794	−	1.63746i	−0.232594	−	0.149479i
$121$	−1.19579	−	1.38001i	−0.108708	−	0.125456i
$122$	1.67821	+	11.6722i	0.151938	+	1.05675i
$123$	−6.50534	−	1.91014i	−0.586567	−	0.172232i
$124$	1.19529	−	0.768166i	0.107340	−	0.0689834i
$125$	−0.356350	+	2.47847i	−0.0318729	+	0.221681i
$126$	0.415415	−	0.909632i	0.0370081	−	0.0810365i
$127$	−1.94683	+	4.26297i	−0.172754	+	0.378278i	−0.976128	−	0.217197i	$-0.930309\pi$
$127$	−1.94683	+	4.26297i	−0.172754	+	0.378278i	0.803374	+	0.595474i	$0.203036\pi$
$128$	0.142315	−	0.989821i	0.0125790	−	0.0874887i
$129$	−6.41276	+	4.12123i	−0.564612	+	0.362854i
$130$	0.552172	+	0.162132i	0.0484287	+	0.0142199i
$131$	−0.715875	−	4.97902i	−0.0625463	−	0.435019i	−0.996900	−	0.0786731i	$-0.974932\pi$
$131$	−0.715875	−	4.97902i	−0.0625463	−	0.435019i	0.934354	−	0.356346i	$-0.115977\pi$
$132$	2.34528	+	2.70660i	0.204131	+	0.235579i
$133$	0.432214	+	0.277767i	0.0374777	+	0.0240854i
$134$	8.09796	−	9.34555i	0.699558	−	0.807332i
$135$	−2.90606	+	0.853295i	−0.250113	+	0.0734399i
$136$	−0.746256	−	1.63407i	−0.0639909	−	0.140121i
$137$	1.33042			0.113666			0.0568329	−	0.998384i	$-0.481900\pi$
$137$	1.33042			0.113666			0.0568329	+	0.998384i	$0.481900\pi$
$138$	3.55786	+	3.21584i	0.302865	+	0.273751i
$139$	−6.39029			−0.542017			−0.271009	−	0.962577i	$-0.587357\pi$
$139$	−6.39029			−0.542017			−0.271009	+	0.962577i	$0.587357\pi$
$140$	1.25818	+	2.75504i	0.106336	+	0.232843i
$141$	2.41703	−	0.709704i	0.203551	−	0.0597679i
$142$	−4.61085	+	5.32120i	−0.386934	+	0.446545i
$143$	−0.572457	−	0.367896i	−0.0478713	−	0.0307650i
$144$	−0.654861	−	0.755750i	−0.0545717	−	0.0629791i
$145$	2.86443	+	19.9225i	0.237878	+	1.65448i
$146$	−13.7261	−	4.03035i	−1.13598	−	0.333554i
$147$	−0.841254	+	0.540641i	−0.0693854	+	0.0445913i
$148$	1.09174	−	7.59321i	0.0897403	−	0.624158i
$149$	−1.98786	+	4.35282i	−0.162852	+	0.356597i	−0.973413	−	0.229058i	$-0.926435\pi$
$149$	−1.98786	+	4.35282i	−0.162852	+	0.356597i	0.810560	+	0.585655i	$0.199163\pi$
$150$	1.73364	−	3.79614i	0.141551	−	0.309953i
$151$	−1.26319	+	8.78571i	−0.102797	+	0.714971i	0.871613	+	0.490194i	$0.163074\pi$
$151$	−1.26319	+	8.78571i	−0.102797	+	0.714971i	−0.974410	+	0.224776i	$0.927835\pi$
$152$	0.432214	−	0.277767i	0.0350572	−	0.0225299i
$153$	−1.72364	−	0.506108i	−0.139348	−	0.0409164i
$154$	−0.509678	−	3.54489i	−0.0410710	−	0.285655i
$155$	2.81811	+	3.25227i	0.226356	+	0.261229i
$156$	0.159844	+	0.102726i	0.0127978	+	0.00822464i
$157$	4.46956	−	5.15815i	0.356710	−	0.411665i	−0.548825	−	0.835937i	$-0.684925\pi$
$157$	4.46956	−	5.15815i	0.356710	−	0.411665i	0.905535	+	0.424272i	$0.139470\pi$
$158$	−14.0285	+	4.11914i	−1.11605	+	0.327701i
$159$	5.00428	+	10.9578i	0.396865	+	0.869013i
$160$	3.02874			0.239443
$161$	−1.25445	−	4.62886i	−0.0988643	−	0.364805i
$162$	−1.00000			−0.0785674
$163$	−7.09615	−	15.5384i	−0.555813	−	1.21706i	−0.954014	−	0.299763i	$-0.903093\pi$
$163$	−7.09615	−	15.5384i	−0.555813	−	1.21706i	0.398201	−	0.917298i	$-0.369635\pi$
$164$	6.50534	−	1.91014i	0.507982	−	0.149157i
$165$	−7.10325	+	8.19759i	−0.552987	+	0.638181i
$166$	−11.7111	−	7.52625i	−0.908956	−	0.584151i
$167$	−1.45816	−	1.68281i	−0.112836	−	0.130219i	0.696522	−	0.717536i	$-0.254730\pi$
$167$	−1.45816	−	1.68281i	−0.112836	−	0.130219i	−0.809358	+	0.587316i	$0.800184\pi$
$168$	0.142315	+	0.989821i	0.0109798	+	0.0763664i
$169$	12.4388	+	3.65235i	0.956828	+	0.280950i
$170$	4.57715	−	2.94155i	0.351051	−	0.225607i
$171$	0.0731176	−	0.508544i	0.00559144	−	0.0388893i
$172$	3.16665	−	6.93400i	0.241455	−	0.528713i
$173$	4.96255	−	10.8665i	0.377295	−	0.826162i	−0.621781	−	0.783191i	$-0.713591\pi$
$173$	4.96255	−	10.8665i	0.377295	−	0.826162i	0.999076	−	0.0429705i	$-0.0136822\pi$
$174$	−0.945748	+	6.57782i	−0.0716970	+	0.498663i
$175$	−3.51078	+	2.25624i	−0.265390	+	0.170556i
$176$	−3.43627	−	1.00898i	−0.259019	−	0.0760548i
$177$	−0.778932	−	5.41759i	−0.0585481	−	0.407211i
$178$	7.01448	+	8.09514i	0.525757	+	0.606756i
$179$	13.8518	+	8.90204i	1.03534	+	0.665370i	0.943829	−	0.330435i	$-0.107195\pi$
$179$	13.8518	+	8.90204i	1.03534	+	0.665370i	0.0915064	+	0.995804i	$0.470832\pi$
$180$	1.98340	−	2.28897i	0.147834	−	0.170610i
$181$	−0.924593	+	0.271485i	−0.0687244	+	0.0201793i	−0.315914	−	0.948788i	$-0.602311\pi$
$181$	−0.924593	+	0.271485i	−0.0687244	+	0.0201793i	0.247190	+	0.968967i	$0.420493\pi$
$182$	−0.0789319	−	0.172837i	−0.00585082	−	0.0128115i
$183$	−11.7922			−0.871706
$184$	−4.73168	−	0.781813i	−0.348824	−	0.0576360i
$185$	23.2343			1.70822
$186$	0.590240	+	1.29245i	0.0432785	+	0.0947667i
$187$	−6.17296	+	1.81254i	−0.451412	+	0.132546i
$188$	−1.64964	+	1.90379i	−0.120312	+	0.138848i
$189$	0.841254	+	0.540641i	0.0611922	+	0.0393258i
$190$	1.01902	+	1.17601i	0.0739275	+	0.0853168i
$191$	0.000368617		0.00256379i	2.66722e−5		0.000185509i	0.989835	−	0.142222i	$-0.0454247\pi$
$191$	0.000368617		0.00256379i	2.66722e−5		0.000185509i	−0.989808	+	0.142408i	$0.954516\pi$
$192$	0.959493	+	0.281733i	0.0692454	+	0.0203323i
$193$	7.66151	−	4.92375i	0.551487	−	0.354419i	−0.235029	−	0.971988i	$-0.575519\pi$
$193$	7.66151	−	4.92375i	0.551487	−	0.354419i	0.786517	+	0.617569i	$0.211882\pi$
$194$	−0.821203	+	5.71159i	−0.0589589	+	0.410069i
$195$	−0.239064	+	0.523477i	−0.0171197	+	0.0374870i
$196$	0.415415	−	0.909632i	0.0296725	−	0.0649737i
$197$	0.180704	−	1.25682i	0.0128746	−	0.0895448i	−0.982371	−	0.186942i	$-0.940142\pi$
$197$	0.180704	−	1.25682i	0.0128746	−	0.0895448i	0.995246	+	0.0973968i	$0.0310516\pi$
$198$	−3.01282	+	1.93622i	−0.214112	+	0.137601i
$199$	−17.8362	−	5.23717i	−1.26437	−	0.371253i	−0.420252	−	0.907407i	$-0.638058\pi$
$199$	−17.8362	−	5.23717i	−1.26437	−	0.371253i	−0.844120	+	0.536154i	$0.819876\pi$
$200$	0.593918	+	4.13079i	0.0419964	+	0.292091i
$201$	8.09796	+	9.34555i	0.571186	+	0.659184i
$202$	−5.41455	−	3.47972i	−0.380966	−	0.244832i
$203$	4.35185	−	5.02231i	0.305440	−	0.352497i
$204$	1.72364	−	0.506108i	0.120679	−	0.0354346i
$205$	8.53046	+	18.6791i	0.595794	+	1.30461i
$206$	−5.70820			−0.397709
$207$	−3.68944	+	3.06398i	−0.256434	+	0.212962i
$208$	−0.190007			−0.0131746
$209$	−0.764363	−	1.67372i	−0.0528721	−	0.115774i
$210$	−2.90606	+	0.853295i	−0.200537	+	0.0588829i
$211$	3.46875	−	4.00315i	0.238799	−	0.275588i	−0.623682	−	0.781678i	$-0.714364\pi$
$211$	3.46875	−	4.00315i	0.238799	−	0.275588i	0.862481	+	0.506090i	$0.168910\pi$
$212$	−10.1341	−	6.51280i	−0.696014	−	0.447301i
$213$	−4.61085	−	5.32120i	−0.315930	−	0.364603i
$214$	−0.870243	−	6.05268i	−0.0594886	−	0.413752i
$215$	22.1525	+	6.50455i	1.51079	+	0.443607i
$216$	0.841254	−	0.540641i	0.0572401	−	0.0367859i
$217$	0.202207	−	1.40638i	0.0137267	−	0.0954714i
$218$	6.08669	−	13.3280i	0.412243	−	0.902686i
$219$	5.94276	−	13.0128i	0.401574	−	0.879325i
$220$	1.54368	−	10.7366i	0.104075	−	0.723858i
$221$	−0.287146	+	0.184538i	−0.0193155	+	0.0124133i
$222$	7.36055	+	2.16125i	0.494008	+	0.145054i
$223$	−0.658925	−	4.58292i	−0.0441249	−	0.306895i	−0.999917	−	0.0128533i	$-0.995909\pi$
$223$	−0.658925	−	4.58292i	−0.0441249	−	0.306895i	0.955793	−	0.294042i	$-0.0950005\pi$
$224$	−0.654861	−	0.755750i	−0.0437547	−	0.0504956i
$225$	3.51078	+	2.25624i	0.234052	+	0.150416i
$226$	−7.98059	+	9.21009i	−0.530861	+	0.612646i
$227$	−18.5810	+	5.45588i	−1.23327	+	0.362119i	−0.832481	−	0.554053i	$-0.813081\pi$
$227$	−18.5810	+	5.45588i	−1.23327	+	0.362119i	−0.400784	+	0.916172i	$0.631262\pi$
$228$	0.213429	+	0.467345i	0.0141347	+	0.0309507i
$229$	24.2920			1.60526			0.802629	−	0.596479i	$-0.203434\pi$
$229$	24.2920			1.60526			0.802629	+	0.596479i	$0.203434\pi$
$230$	0.304290	−	14.5221i	0.0200643	−	0.957562i
$231$	3.58134			0.235635
$232$	−2.76063	−	6.04493i	−0.181244	−	0.396869i
$233$	8.78044	−	2.57817i	0.575226	−	0.168902i	0.0188356	−	0.999823i	$-0.494004\pi$
$233$	8.78044	−	2.57817i	0.575226	−	0.168902i	0.556390	+	0.830921i	$0.312186\pi$
$234$	−0.124428	+	0.143598i	−0.00813413	+	0.00938729i
$235$	−6.41844	−	4.12488i	−0.418693	−	0.269077i
$236$	3.58425	+	4.13645i	0.233315	+	0.269260i
$237$	−2.08075	−	14.4719i	−0.135159	−	0.940053i
$238$	−1.72364	−	0.506108i	−0.111727	−	0.0328061i
$239$	−4.45762	+	2.86474i	−0.288340	+	0.185305i	−0.676812	−	0.736156i	$-0.736639\pi$
$239$	−4.45762	+	2.86474i	−0.288340	+	0.185305i	0.388473	+	0.921460i	$0.373003\pi$
$240$	−0.431035	+	2.99791i	−0.0278232	+	0.193514i
$241$	7.27617	−	15.9326i	0.468700	−	1.02631i	−0.516718	−	0.856156i	$-0.672846\pi$
$241$	7.27617	−	15.9326i	0.468700	−	1.02631i	0.985418	−	0.170153i	$-0.0544263\pi$
$242$	−0.758556	+	1.66101i	−0.0487618	+	0.106774i
$243$	0.142315	−	0.989821i	0.00912950	−	0.0634971i
$244$	9.92025	−	6.37536i	0.635079	−	0.408140i
$245$	2.90606	+	0.853295i	0.185661	+	0.0545150i
$246$	0.964892	+	6.71097i	0.0615193	+	0.427876i
$247$	−0.0639279	−	0.0737768i	−0.00406764	−	0.00469430i
$248$	−1.19529	−	0.768166i	−0.0759010	−	0.0487786i
$249$	9.11631	−	10.5208i	0.577723	−	0.666727i
$250$	2.40252	−	0.705445i	0.151949	−	0.0446162i
$251$	6.54449	+	14.3304i	0.413085	+	0.904530i	0.995774	+	0.0918346i	$0.0292731\pi$
$251$	6.54449	+	14.3304i	0.413085	+	0.904530i	−0.582689	+	0.812695i	$0.698000\pi$
$252$	−1.00000			−0.0629941
$253$	−5.18307	+	16.3748i	−0.325857	+	1.02948i
$254$	4.68648			0.294056
$255$	2.26022	+	4.94918i	0.141540	+	0.309930i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	17.8901	−	20.6462i	1.11595	−	1.28788i	0.162374	−	0.986729i	$-0.448085\pi$
$257$	17.8901	−	20.6462i	1.11595	−	1.28788i	0.953578	−	0.301148i	$-0.0973697\pi$
$258$	6.41276	+	4.12123i	0.399241	+	0.256577i
$259$	−5.02363	−	5.79757i	−0.312153	−	0.360244i
$260$	−0.0818997	−	0.569625i	−0.00507921	−	0.0353266i
$261$	−6.37628	−	1.87224i	−0.394682	−	0.115889i
$262$	−4.23169	+	2.71954i	−0.261435	+	0.168014i
$263$	1.65308	−	11.4974i	0.101934	−	0.708963i	−0.873203	−	0.487357i	$-0.837961\pi$
$263$	1.65308	−	11.4974i	0.101934	−	0.708963i	0.975136	−	0.221606i	$-0.0711299\pi$
$264$	1.48774	−	3.25770i	0.0915643	−	0.200498i
$265$	15.1567	−	33.1884i	0.931066	−	2.03875i
$266$	0.0731176	−	0.508544i	0.00448313	−	0.0311808i
$267$	−9.01101	+	5.79102i	−0.551465	+	0.354405i
$268$	−11.8650	−	3.48389i	−0.724772	−	0.212812i
$269$	0.288902	+	2.00936i	0.0176147	+	0.122513i	0.996731	−	0.0807857i	$-0.0257429\pi$
$269$	0.288902	+	2.00936i	0.0176147	+	0.122513i	−0.979117	+	0.203298i	$0.934834\pi$
$270$	1.98340	+	2.28897i	0.120706	+	0.139302i
$271$	−1.45257	−	0.933512i	−0.0882375	−	0.0567068i	0.495778	−	0.868449i	$-0.334883\pi$
$271$	−1.45257	−	0.933512i	−0.0882375	−	0.0567068i	−0.584016	+	0.811742i	$0.698519\pi$
$272$	−1.17640	+	1.35764i	−0.0713297	+	0.0823188i
$273$	0.182311	−	0.0535312i	0.0110339	−	0.00323986i
$274$	−0.552678	−	1.21020i	−0.0333885	−	0.0731106i
$275$	14.9459			0.901272
$276$	1.44724	−	4.57225i	0.0871138	−	0.275217i
$277$	3.11698			0.187281			0.0936406	−	0.995606i	$-0.470150\pi$
$277$	3.11698			0.187281			0.0936406	+	0.995606i	$0.470150\pi$
$278$	2.65462	+	5.81281i	0.159214	+	0.348629i
$279$	−1.36329	+	0.400298i	−0.0816180	+	0.0239652i
$280$	1.98340	−	2.28897i	0.118531	−	0.136792i
$281$	−10.1515	−	6.52395i	−0.605585	−	0.389186i	0.201614	−	0.979465i	$-0.435381\pi$
$281$	−10.1515	−	6.52395i	−0.605585	−	0.389186i	−0.807199	+	0.590279i	$0.799018\pi$
$282$	−1.64964	−	1.90379i	−0.0982347	−	0.113369i
$283$	0.196417	+	1.36611i	0.0116758	+	0.0812067i	0.994826	−	0.101592i	$-0.0323935\pi$
$283$	0.196417	+	1.36611i	0.0116758	+	0.0812067i	−0.983150	+	0.182798i	$0.941484\pi$
$284$	6.75575	+	1.98367i	0.400880	+	0.117709i
$285$	−1.30906	+	0.841284i	−0.0775422	+	0.0498333i
$286$	−0.0968426	+	0.673555i	−0.00572642	+	0.0398281i
$287$	2.81651	−	6.16729i	0.166253	−	0.364043i
$288$	−0.415415	+	0.909632i	−0.0244786	+	0.0536006i
$289$	1.96009	−	13.6327i	0.115299	−	0.801925i
$290$	16.9322	−	10.8817i	0.994295	−	0.638995i
$291$	−5.53659	−	1.62569i	−0.324561	−	0.0952996i
$292$	2.03590	+	14.1600i	0.119142	+	0.828650i
$293$	2.56509	+	2.96027i	0.149854	+	0.172941i	0.825713	−	0.564090i	$-0.190773\pi$
$293$	2.56509	+	2.96027i	0.149854	+	0.172941i	−0.675859	+	0.737031i	$0.736227\pi$
$294$	0.841254	+	0.540641i	0.0490629	+	0.0315308i
$295$	−10.8558	+	12.5282i	−0.632047	+	0.729421i
$296$	−7.36055	+	2.16125i	−0.427823	+	0.125620i
$297$	−1.48774	−	3.25770i	−0.0863276	−	0.189031i
$298$	4.78525			0.277202
$299$	−0.0190895	+	0.911043i	−0.00110398	+	0.0526870i
$300$	−4.17327			−0.240944
$301$	−3.16665	−	6.93400i	−0.182523	−	0.399669i
$302$	8.51651	−	2.50067i	0.490070	−	0.143898i
$303$	4.21487	−	4.86422i	0.242138	−	0.279442i
$304$	−0.432214	−	0.277767i	−0.0247892	−	0.0159310i
$305$	23.3887	+	26.9920i	1.33923	+	1.54556i
$306$	0.255656	+	1.77813i	0.0146149	+	0.101649i
$307$	26.1756	+	7.68585i	1.49392	+	0.438655i	0.923790	−	0.382899i	$-0.125074\pi$
$307$	26.1756	+	7.68585i	1.49392	+	0.438655i	0.570131	+	0.821554i	$0.306893\pi$
$308$	−3.01282	+	1.93622i	−0.171671	+	0.110326i
$309$	0.812362	−	5.65010i	0.0462137	−	0.321423i
$310$	1.78768	−	3.91448i	0.101534	−	0.222328i
$311$	10.7327	−	23.5013i	0.608594	−	1.33263i	−0.314938	−	0.949112i	$-0.601984\pi$
$311$	10.7327	−	23.5013i	0.608594	−	1.33263i	0.923532	−	0.383522i	$-0.125289\pi$
$312$	0.0270409	−	0.188073i	0.00153089	−	0.0106476i
$313$	8.40469	−	5.40137i	0.475061	−	0.305303i	−0.281112	−	0.959675i	$-0.590703\pi$
$313$	8.40469	−	5.40137i	0.475061	−	0.305303i	0.756173	+	0.654372i	$0.227067\pi$
$314$	−6.54874	−	1.92288i	−0.369567	−	0.108515i
$315$	−0.431035	−	2.99791i	−0.0242861	−	0.168913i
$316$	9.57456	+	11.0496i	0.538611	+	0.621590i
$317$	19.5108	+	12.5389i	1.09584	+	0.704252i	0.958162	−	0.286225i	$-0.0924006\pi$
$317$	19.5108	+	12.5389i	1.09584	+	0.704252i	0.137675	+	0.990477i	$0.456037\pi$
$318$	7.88875	−	9.10410i	0.442379	−	0.510533i
$319$	−22.8356	+	6.70515i	−1.27855	+	0.375416i
$320$	−1.25818	−	2.75504i	−0.0703346	−	0.154011i
$321$	6.11492			0.341301
$322$	−3.68944	+	3.06398i	−0.205605	+	0.170749i
$323$	−0.922948			−0.0513542
$324$	0.415415	+	0.909632i	0.0230786	+	0.0505351i
$325$	0.760831	−	0.223400i	0.0422033	−	0.0123920i
$326$	−11.1864	+	12.9098i	−0.619556	+	0.715006i
$327$	12.3261	+	7.92151i	0.681635	+	0.438060i
$328$	−4.43994	−	5.12397i	−0.245155	−	0.282924i
$329$	0.358501	+	2.49343i	0.0197648	+	0.137467i
$330$	10.4076	+	3.05594i	0.572919	+	0.168224i
$331$	−11.7588	+	7.55691i	−0.646321	+	0.415365i	−0.822320	−	0.569025i	$-0.807321\pi$
$331$	−11.7588	+	7.55691i	−0.646321	+	0.415365i	0.175999	+	0.984390i	$0.443684\pi$
$332$	−1.98116	+	13.7793i	−0.108730	+	0.756237i
$333$	−3.18677	+	6.97805i	−0.174634	+	0.382395i
$334$	−0.924992	+	2.02545i	−0.0506133	+	0.110828i
$335$	5.33015	−	37.0720i	0.291217	−	2.02546i
$336$	0.841254	−	0.540641i	0.0458941	−	0.0294944i
$337$	16.6955	+	4.90223i	0.909460	+	0.267041i	0.702813	−	0.711374i	$-0.251927\pi$
$337$	16.6955	+	4.90223i	0.909460	+	0.267041i	0.206646	+	0.978416i	$0.433745\pi$
$338$	−1.84495	−	12.8319i	−0.100352	−	0.697966i
$339$	−7.98059	−	9.21009i	−0.433446	−	0.500223i
$340$	−4.57715	−	2.94155i	−0.248231	−	0.159528i
$341$	−3.33228	+	3.84565i	−0.180453	+	0.208254i
$342$	−0.492962	+	0.144747i	−0.0266563	+	0.00782700i
$343$	−0.415415	−	0.909632i	−0.0224303	−	0.0491155i
$344$	−7.62286			−0.410997
$345$	14.3310	+	2.36791i	0.771556	+	0.127484i
$346$	−11.9460			−0.642221
$347$	1.82783	+	4.00240i	0.0981233	+	0.214860i	0.952327	−	0.305078i	$-0.0986824\pi$
$347$	1.82783	+	4.00240i	0.0981233	+	0.214860i	−0.854204	+	0.519938i	$0.825955\pi$
$348$	6.37628	−	1.87224i	0.341804	−	0.100363i
$349$	−0.392313	+	0.452754i	−0.0210000	+	0.0242353i	−0.766152	−	0.642659i	$-0.777831\pi$
$349$	−0.392313	+	0.452754i	−0.0210000	+	0.0242353i	0.745152	+	0.666894i	$0.232377\pi$
$350$	3.51078	+	2.25624i	0.187659	+	0.120601i
$351$	−0.124428	−	0.143598i	−0.00664149	−	0.00766469i
$352$	0.509678	+	3.54489i	0.0271659	+	0.188943i
$353$	−28.5518	−	8.38356i	−1.51966	−	0.446212i	−0.587791	−	0.809013i	$-0.700002\pi$
$353$	−28.5518	−	8.38356i	−1.51966	−	0.446212i	−0.931867	+	0.362801i	$0.881820\pi$
$354$	−4.60443	+	2.95909i	−0.244723	+	0.157274i
$355$	−3.03490	+	21.1082i	−0.161076	+	1.12031i
$356$	4.44968	−	9.74343i	0.235832	−	0.516401i
$357$	0.746256	−	1.63407i	0.0394961	−	0.0864843i
$358$	2.34332	−	16.2981i	0.123848	−	0.861382i
$359$	−14.7616	+	9.48674i	−0.779090	+	0.500691i	−0.868731	−	0.495283i	$-0.835064\pi$
$359$	−14.7616	+	9.48674i	−0.779090	+	0.500691i	0.0896415	+	0.995974i	$0.471428\pi$
$360$	−2.90606	−	0.853295i	−0.153163	−	0.0449726i
$361$	2.66642	+	18.5453i	0.140338	+	0.976070i
$362$	0.631041	+	0.728260i	0.0331668	+	0.0382765i
$363$	−1.53615	−	0.987221i	−0.0806267	−	0.0518157i
$364$	−0.124428	+	0.143598i	−0.00652181	+	0.00752657i
$365$	−41.5728	+	12.2069i	−2.17602	+	0.638938i
$366$	4.89867	+	10.7266i	0.256057	+	0.560687i
$367$	11.6525			0.608254			0.304127	−	0.952632i	$-0.401635\pi$
$367$	11.6525			0.608254			0.304127	+	0.952632i	$0.401635\pi$
$368$	1.25445	+	4.62886i	0.0653926	+	0.241296i
$369$	−6.77998			−0.352952
$370$	−9.65189	−	21.1347i	−0.501778	−	1.09874i
$371$	−11.5585	+	3.39388i	−0.600087	+	0.176201i
$372$	0.930455	−	1.07380i	0.0482418	−	0.0556741i
$373$	3.35119	+	2.15368i	0.173518	+	0.111513i	0.624517	−	0.781011i	$-0.285296\pi$
$373$	3.35119	+	2.15368i	0.173518	+	0.111513i	−0.450999	+	0.892524i	$0.648932\pi$
$374$	4.21309	+	4.86216i	0.217854	+	0.251417i
$375$	0.356350	+	2.47847i	0.0184018	+	0.127987i
$376$	2.41703	+	0.709704i	0.124649	+	0.0366002i
$377$	−1.06224	+	0.682660i	−0.0547081	+	0.0351588i
$378$	0.142315	−	0.989821i	0.00731989	−	0.0509109i
$379$	−13.5407	+	29.6500i	−0.695540	+	1.52302i	0.149757	+	0.988723i	$0.452151\pi$
$379$	−13.5407	+	29.6500i	−0.695540	+	1.52302i	−0.845297	+	0.534297i	$0.820577\pi$
$380$	0.646422	−	1.41547i	0.0331607	−	0.0726119i
$381$	−0.666956	+	4.63878i	−0.0341692	+	0.237652i
$382$	0.00217898	−	0.00140034i	0.000111486	−	7.16478e-5i
$383$	−22.0278	−	6.46795i	−1.12557	−	0.330497i	−0.334604	−	0.942359i	$-0.608602\pi$
$383$	−22.0278	−	6.46795i	−1.12557	−	0.330497i	−0.790964	+	0.611862i	$0.790421\pi$
$384$	−0.142315	−	0.989821i	−0.00726247	−	0.0505116i
$385$	−7.10325	−	8.19759i	−0.362015	−	0.417788i
$386$	−7.66151	−	4.92375i	−0.389960	−	0.250612i
$387$	−4.99191	+	5.76098i	−0.253753	+	0.292847i
$388$	5.53659	−	1.62569i	0.281078	−	0.0825319i
$389$	2.79483	+	6.11981i	0.141703	+	0.310287i	0.967156	−	0.254185i	$-0.0818072\pi$
$389$	2.79483	+	6.11981i	0.141703	+	0.310287i	−0.825452	+	0.564472i	$0.809080\pi$
$390$	0.575483			0.0291407
$391$	6.39138	+	5.77697i	0.323226	+	0.292154i
$392$	−1.00000			−0.0505076
$393$	−2.08963	−	4.57565i	−0.105408	−	0.230811i
$394$	−1.21831	+	0.357729i	−0.0613777	+	0.0180221i
$395$	−28.9989	+	33.4665i	−1.45909	+	1.68388i
$396$	3.01282	+	1.93622i	0.151400	+	0.0972987i
$397$	6.38691	+	7.37089i	0.320550	+	0.369934i	0.893040	−	0.449977i	$-0.148568\pi$
$397$	6.38691	+	7.37089i	0.320550	+	0.369934i	−0.572490	+	0.819912i	$0.694022\pi$
$398$	2.64551	+	18.3999i	0.132608	+	0.922306i
$399$	0.492962	+	0.144747i	0.0246790	+	0.00724640i
$400$	3.51078	−	2.25624i	0.175539	−	0.112812i
$401$	−5.17648	+	36.0032i	−0.258501	+	1.79791i	0.285024	+	0.958520i	$0.407998\pi$
$401$	−5.17648	+	36.0032i	−0.258501	+	1.79791i	−0.543525	+	0.839393i	$0.682911\pi$
$402$	5.13699	−	11.2484i	0.256210	−	0.561022i
$403$	−0.112150	+	0.245574i	−0.00558658	+	0.0122329i
$404$	−0.915979	+	6.37077i	−0.0455716	+	0.316958i
$405$	−2.54794	+	1.63746i	−0.126608	+	0.0813661i
$406$	−6.37628	−	1.87224i	−0.316449	−	0.0929179i
$407$	3.90989	+	27.1939i	0.193806	+	1.34795i
$408$	−1.17640	−	1.35764i	−0.0582404	−	0.0672131i
$409$	9.33296	+	5.99793i	0.461485	+	0.296578i	0.750649	−	0.660701i	$-0.229741\pi$
$409$	9.33296	+	5.99793i	0.461485	+	0.296578i	−0.289164	+	0.957280i	$0.593377\pi$
$410$	13.4474	−	15.5192i	0.664121	−	0.766437i
$411$	1.27653	−	0.374824i	0.0629667	−	0.0184887i
$412$	2.37127	+	5.19237i	0.116824	+	0.255810i
$413$	5.47330			0.269324
$414$	4.31975	+	2.08321i	0.212304	+	0.102384i
$415$	−42.1631			−2.06970
$416$	0.0789319	+	0.172837i	0.00386995	+	0.00847402i
$417$	−6.13144	+	1.80035i	−0.300258	+	0.0881636i
$418$	−1.20494	+	1.39058i	−0.0589357	+	0.0680154i
$419$	−29.0294	−	18.6560i	−1.41818	−	0.911408i	−0.999995	−	0.00304456i	$-0.999031\pi$
$419$	−29.0294	−	18.6560i	−1.41818	−	0.911408i	−0.418183	−	0.908363i	$-0.637333\pi$
$420$	1.98340	+	2.28897i	0.0967802	+	0.111690i
$421$	−3.78105	−	26.2978i	−0.184277	−	1.28167i	−0.846509	−	0.532375i	$-0.821300\pi$
$421$	−3.78105	−	26.2978i	−0.184277	−	1.28167i	0.662232	−	0.749299i	$-0.269609\pi$
$422$	−5.08236	−	1.49232i	−0.247406	−	0.0726448i
$423$	2.11918	−	1.36191i	0.103038	−	0.0662184i
$424$	−1.71439	+	11.9238i	−0.0832581	+	0.579073i
$425$	3.11433	−	6.81943i	0.151067	−	0.330791i
$426$	−2.92492	+	6.40468i	−0.141713	+	0.310308i
$427$	1.67821	−	11.6722i	0.0812142	−	0.564857i
$428$	−5.14420	+	3.30597i	−0.248654	+	0.159800i
$429$	−0.652917	−	0.191714i	−0.0315231	−	0.00925602i
$430$	−3.28572	−	22.8527i	−0.158451	−	1.10205i
$431$	−20.5933	−	23.7659i	−0.991945	−	1.14477i	−0.989466	−	0.144768i	$-0.953756\pi$
$431$	−20.5933	−	23.7659i	−0.991945	−	1.14477i	−0.00247892	−	0.999997i	$-0.500789\pi$
$432$	−0.841254	−	0.540641i	−0.0404748	−	0.0260116i
$433$	22.4020	−	25.8533i	1.07657	−	1.24243i	0.107882	−	0.994164i	$-0.465593\pi$
$433$	22.4020	−	25.8533i	1.07657	−	1.24243i	0.968691	−	0.248268i	$-0.0798613\pi$
$434$	−1.36329	+	0.400298i	−0.0654400	+	0.0192149i
$435$	8.36122	+	18.3085i	0.400890	+	0.877826i
$436$	−14.6521			−0.701707
$437$	−1.37525	+	2.04446i	−0.0657873	+	0.0977999i
$438$	−14.3056			−0.683548
$439$	12.9370	+	28.3281i	0.617450	+	1.35203i	0.917360	+	0.398059i	$0.130316\pi$
$439$	12.9370	+	28.3281i	0.617450	+	1.35203i	−0.299910	+	0.953968i	$0.596957\pi$
$440$	−10.4076	+	3.05594i	−0.496162	+	0.145686i
$441$	−0.654861	+	0.755750i	−0.0311838	+	0.0359881i
$442$	0.287146	+	0.184538i	0.0136581	+	0.00877756i
$443$	−1.49032	−	1.71992i	−0.0708071	−	0.0817157i	0.719241	−	0.694761i	$-0.244490\pi$
$443$	−1.49032	−	1.71992i	−0.0708071	−	0.0817157i	−0.790048	+	0.613045i	$0.789944\pi$
$444$	−1.09174	−	7.59321i	−0.0518116	−	0.360358i
$445$	31.1279	+	9.13998i	1.47561	+	0.433277i
$446$	−3.89505	+	2.50319i	−0.184436	+	0.118530i
$447$	−0.681012	+	4.73654i	−0.0322108	+	0.224031i
$448$	−0.415415	+	0.909632i	−0.0196265	+	0.0429761i
$449$	6.71132	−	14.6957i	0.316727	−	0.693535i	−0.682578	−	0.730813i	$-0.739141\pi$
$449$	6.71132	−	14.6957i	0.316727	−	0.693535i	0.999305	+	0.0372775i	$0.0118685\pi$
$450$	0.593918	−	4.13079i	0.0279976	−	0.194727i
$451$	−20.4268	+	13.1275i	−0.961863	+	0.618152i
$452$	11.6930	+	3.43339i	0.549995	+	0.161493i
$453$	1.26319	+	8.78571i	0.0593500	+	0.412789i
$454$	12.6817	+	14.6354i	0.595181	+	0.686875i
$455$	−0.484127	−	0.311129i	−0.0226962	−	0.0145860i
$456$	0.336450	−	0.388284i	0.0157557	−	0.0181831i
$457$	6.75518	−	1.98350i	0.315994	−	0.0927843i	−0.119890	−	0.992787i	$-0.538254\pi$
$457$	6.75518	−	1.98350i	0.315994	−	0.0927843i	0.435884	+	0.900003i	$0.356436\pi$
$458$	−10.0912	−	22.0967i	−0.471533	−	1.03251i
$459$	−1.79641			−0.0838493
$460$	−13.3362	+	5.75592i	−0.621804	+	0.268371i
$461$	−3.84693			−0.179170			−0.0895848	−	0.995979i	$-0.528554\pi$
$461$	−3.84693			−0.179170			−0.0895848	+	0.995979i	$0.528554\pi$
$462$	−1.48774	−	3.25770i	−0.0692161	−	0.151562i
$463$	9.22839	−	2.70970i	0.428879	−	0.125930i	−0.0601666	−	0.998188i	$-0.519163\pi$
$463$	9.22839	−	2.70970i	0.428879	−	0.125930i	0.489046	+	0.872258i	$0.337345\pi$
$464$	−4.35185	+	5.02231i	−0.202030	+	0.233155i
$465$	3.62022	+	2.32658i	0.167884	+	0.107892i
$466$	−5.99271	−	6.91596i	−0.277607	−	0.320376i
$467$	−1.63786	−	11.3916i	−0.0757913	−	0.527140i	−0.991980	−	0.126393i	$-0.959660\pi$
$467$	−1.63786	−	11.3916i	−0.0757913	−	0.527140i	0.916189	−	0.400747i	$-0.131249\pi$
$468$	0.182311	+	0.0535312i	0.00842731	+	0.00247448i
$469$	−10.4029	+	6.68553i	−0.480361	+	0.308709i
$470$	−1.08581	+	7.55195i	−0.0500845	+	0.348346i
$471$	2.83529	−	6.20843i	0.130643	−	0.286069i
$472$	2.27369	−	4.97869i	0.104655	−	0.229163i
$473$	−3.88521	+	27.0222i	−0.178642	+	1.24248i
$474$	−12.2998	+	7.90458i	−0.564947	+	0.363069i
$475$	2.05726	+	0.604067i	0.0943937	+	0.0277165i
$476$	0.255656	+	1.77813i	0.0117180	+	0.0815003i
$477$	7.88875	+	9.10410i	0.361201	+	0.416848i
$478$	4.45762	+	2.86474i	0.203887	+	0.131030i
$479$	−20.5280	+	23.6906i	−0.937950	+	1.08245i	0.0585022	+	0.998287i	$0.481368\pi$
$479$	−20.5280	+	23.6906i	−0.937950	+	1.08245i	−0.996452	+	0.0841644i	$0.973178\pi$
$480$	2.90606	−	0.853295i	0.132643	−	0.0389474i
$481$	0.605509	+	1.32588i	0.0276088	+	0.0604549i
$482$	−17.5154			−0.797806
$483$	−2.50773	−	4.08794i	−0.114106	−	0.186008i
$484$	1.82602			0.0830009
$485$	7.26013	+	15.8975i	0.329666	+	0.721867i
$486$	−0.959493	+	0.281733i	−0.0435235	+	0.0127796i
$487$	−4.65293	+	5.36977i	−0.210845	+	0.243328i	−0.851315	−	0.524656i	$-0.824194\pi$
$487$	−4.65293	+	5.36977i	−0.210845	+	0.243328i	0.640470	+	0.767983i	$0.278740\pi$
$488$	−9.92025	−	6.37536i	−0.449069	−	0.288599i
$489$	−11.1864	−	12.9098i	−0.505865	−	0.583800i
$490$	−0.431035	−	2.99791i	−0.0194722	−	0.135432i
$491$	14.0665	+	4.13029i	0.634811	+	0.186397i	0.583276	−	0.812274i	$-0.301771\pi$
$491$	14.0665	+	4.13029i	0.634811	+	0.186397i	0.0515346	+	0.998671i	$0.483589\pi$
$492$	5.70368	−	3.66553i	0.257142	−	0.165255i
$493$	−1.69895	+	11.8165i	−0.0765170	+	0.532187i
$494$	−0.0405531	+	0.0887989i	−0.00182457	+	0.00399525i
$495$	−4.50599	+	9.86674i	−0.202529	+	0.443477i
$496$	−0.202207	+	1.40638i	−0.00907937	+	0.0631484i
$497$	5.92323	−	3.80663i	0.265693	−	0.170751i
$498$	−13.3571	−	3.92200i	−0.598546	−	0.175749i
$499$	−4.15039	−	28.8666i	−0.185797	−	1.29225i	−0.842746	−	0.538312i	$-0.819062\pi$
$499$	−4.15039	−	28.8666i	−0.185797	−	1.29225i	0.656949	−	0.753935i	$-0.271847\pi$
$500$	−1.63974	−	1.89236i	−0.0733314	−	0.0846289i
$501$	−1.87319	−	1.20383i	−0.0836882	−	0.0537831i
$502$	10.3167	−	11.9062i	0.460459	−	0.531398i
$503$	−35.5603	+	10.4415i	−1.58556	+	0.465561i	−0.951480	−	0.307709i	$-0.900438\pi$
$503$	−35.5603	+	10.4415i	−1.58556	+	0.465561i	−0.634076	+	0.773271i	$0.718619\pi$
$504$	0.415415	+	0.909632i	0.0185041	+	0.0405182i
$505$	−19.4938			−0.867464
$506$	17.0482	−	2.08765i	0.757884	−	0.0928073i
$507$	12.9639			0.575747
$508$	−1.94683	−	4.26297i	−0.0863768	−	0.189139i
$509$	−21.4786	+	6.30668i	−0.952022	+	0.279539i	−0.720628	−	0.693322i	$-0.756147\pi$
$509$	−21.4786	+	6.30668i	−0.952022	+	0.279539i	−0.231393	+	0.972860i	$0.574328\pi$
$510$	3.56301	−	4.11193i	0.157773	−	0.182079i
$511$	12.0346	+	7.73419i	0.532381	+	0.342140i
$512$	0.654861	+	0.755750i	0.0289410	+	0.0333997i
$513$	−0.0731176	−	0.508544i	−0.00322822	−	0.0224528i
$514$	−26.2123	−	7.69662i	−1.15617	−	0.339483i
$515$	−14.5442	+	9.34696i	−0.640892	+	0.411876i
$516$	1.08485	−	7.54528i	0.0477577	−	0.332162i
$517$	3.74773	−	8.20639i	0.164825	−	0.360917i
$518$	−3.18677	+	6.97805i	−0.140019	+	0.306598i
$519$	1.70009	−	11.8244i	0.0746258	−	0.519034i
$520$	−0.484127	+	0.311129i	−0.0212304	+	0.0136439i
$521$	−10.6062	−	3.11425i	−0.464664	−	0.136438i	0.0410163	−	0.999158i	$-0.486940\pi$
$521$	−10.6062	−	3.11425i	−0.464664	−	0.136438i	−0.505681	+	0.862721i	$0.668759\pi$
$522$	0.945748	+	6.57782i	0.0413943	+	0.287903i
$523$	−10.5137	−	12.1335i	−0.459732	−	0.530559i	0.477795	−	0.878471i	$-0.341436\pi$
$523$	−10.5137	−	12.1335i	−0.459732	−	0.530559i	−0.937527	+	0.347912i	$0.886891\pi$
$524$	4.23169	+	2.71954i	0.184862	+	0.118804i
$525$	−2.73291	+	3.15395i	−0.119274	+	0.137650i
$526$	−11.1452	+	3.27252i	−0.485952	+	0.142688i
$527$	1.06031	+	2.32176i	0.0461880	+	0.101138i
$528$	−3.58134			−0.155858
$529$	22.3204	−	5.54975i	0.970452	−	0.241293i
$530$	−36.4856			−1.58483
$531$	−2.27369	−	4.97869i	−0.0986698	−	0.216057i
$532$	−0.492962	+	0.144747i	−0.0213726	+	0.00627556i
$533$	−0.843621	+	0.973591i	−0.0365413	+	0.0421709i
$534$	9.01101	+	5.79102i	0.389944	+	0.250602i
$535$	−12.1283	−	13.9969i	−0.524354	−	0.605137i
$536$	1.75986	+	12.2401i	0.0760142	+	0.528690i
$537$	15.7987	+	4.63893i	0.681766	+	0.200185i
$538$	1.70776	−	1.09751i	0.0736268	−	0.0473171i
$539$	−0.509678	+	3.54489i	−0.0219534	+	0.152689i
$540$	1.25818	−	2.75504i	0.0541436	−	0.118558i
$541$	−2.17497	+	4.76251i	−0.0935091	+	0.204756i	−0.950607	−	0.310397i	$-0.899538\pi$
$541$	−2.17497	+	4.76251i	−0.0935091	+	0.204756i	0.857098	+	0.515154i	$0.172265\pi$
$542$	−0.245732	+	1.70910i	−0.0105551	+	0.0734122i
$543$	−0.810654	+	0.520976i	−0.0347885	+	0.0223572i
$544$	1.72364	+	0.506108i	0.0739006	+	0.0216992i
$545$	−6.31555	−	43.9256i	−0.270528	−	1.88157i
$546$	−0.124428	−	0.143598i	−0.00532504	−	0.00614542i
$547$	−38.7042	−	24.8737i	−1.65487	−	1.06352i	−0.925020	−	0.379917i	$-0.875952\pi$
$547$	−38.7042	−	24.8737i	−1.65487	−	1.06352i	−0.729852	−	0.683605i	$-0.760411\pi$
$548$	−0.871242	+	1.00547i	−0.0372176	+	0.0429514i
$549$	−11.3146	+	3.32225i	−0.482893	+	0.141790i
$550$	−6.20876	−	13.5953i	−0.264742	−	0.579705i
$551$	−3.41426			−0.145452
$552$	−4.76027	+	0.582923i	−0.202611	+	0.0248109i
$553$	14.6208			0.621738
$554$	−1.29484	−	2.83530i	−0.0550125	−	0.120461i
$555$	22.2932	−	6.54587i	0.946293	−	0.277857i
$556$	4.18475	−	4.82946i	0.177473	−	0.204815i
$557$	24.3021	+	15.6180i	1.02971	+	0.661756i	0.942422	−	0.334427i	$-0.108543\pi$
$557$	24.3021	+	15.6180i	1.02971	+	0.661756i	0.0872905	+	0.996183i	$0.472179\pi$
$558$	0.930455	+	1.07380i	0.0393893	+	0.0454577i
$559$	0.206129	+	1.43366i	0.00871832	+	0.0606372i
$560$	−2.90606	−	0.853295i	−0.122803	−	0.0360583i
$561$	−5.41226	+	3.47825i	−0.228506	+	0.146852i
$562$	−1.71732	+	11.9442i	−0.0724409	+	0.503837i
$563$	3.49156	−	7.64545i	0.147152	−	0.322217i	−0.821675	−	0.569956i	$-0.806960\pi$
$563$	3.49156	−	7.64545i	0.147152	−	0.322217i	0.968827	+	0.247739i	$0.0796875\pi$
$564$	−1.04646	+	2.29143i	−0.0440639	+	0.0964865i
$565$	−5.25289	+	36.5346i	−0.220991	+	1.53702i
$566$	1.16106	−	0.746169i	0.0488031	−	0.0313638i
$567$	0.959493	+	0.281733i	0.0402949	+	0.0118317i
$568$	−1.00203	−	6.96929i	−0.0420444	−	0.292425i
$569$	28.1639	+	32.5029i	1.18069	+	1.36259i	0.917443	+	0.397866i	$0.130249\pi$
$569$	28.1639	+	32.5029i	1.18069	+	1.36259i	0.263251	+	0.964727i	$0.415205\pi$
$570$	1.30906	+	0.841284i	0.0548306	+	0.0352375i
$571$	17.5349	−	20.2364i	0.733813	−	0.846865i	−0.259082	−	0.965855i	$-0.583420\pi$
$571$	17.5349	−	20.2364i	0.733813	−	0.846865i	0.992895	+	0.118990i	$0.0379656\pi$
$572$	0.652917	−	0.191714i	0.0272998	−	0.00801595i
$573$	0.00107599	+	0.00235609i	4.49501e−5	+	9.84270e-5i
$574$	−6.77998			−0.282991
$575$	−10.4655	−	17.0601i	−0.436440	−	0.711455i
$576$	1.00000			0.0416667
$577$	9.07851	+	19.8792i	0.377943	+	0.827580i	0.999038	+	0.0438450i	$0.0139608\pi$
$577$	9.07851	+	19.8792i	0.377943	+	0.827580i	−0.621095	+	0.783735i	$0.713312\pi$
$578$	−13.2150	+	3.88028i	−0.549672	+	0.161398i
$579$	5.96398	−	6.88280i	0.247855	−	0.286039i
$580$	−16.9322	−	10.8817i	−0.703073	−	0.451837i
$581$	9.11631	+	10.5208i	0.378208	+	0.436476i
$582$	0.821203	+	5.71159i	0.0340400	+	0.236753i
$583$	41.3949	+	12.1546i	1.71440	+	0.503394i
$584$	12.0346	−	7.73419i	0.497997	−	0.320043i
$585$	−0.0818997	+	0.569625i	−0.00338614	+	0.0235511i
$586$	1.62718	−	3.56303i	0.0672182	−	0.147187i
$587$	−7.43995	+	16.2912i	−0.307080	+	0.672411i	−0.998760	−	0.0497935i	$-0.984144\pi$
$587$	−7.43995	+	16.2912i	−0.307080	+	0.672411i	0.691680	+	0.722204i	$0.256871\pi$
$588$	0.142315	−	0.989821i	0.00586897	−	0.0408195i
$589$	−0.614108	+	0.394663i	−0.0253039	+	0.0162618i
$590$	15.9057	+	4.67034i	0.654828	+	0.192275i
$591$	−0.180704	−	1.25682i	−0.00743316	−	0.0516987i
$592$	5.02363	+	5.79757i	0.206470	+	0.238279i
$593$	−27.5815	−	17.7256i	−1.13264	−	0.727902i	−0.166529	−	0.986037i	$-0.553256\pi$
$593$	−27.5815	−	17.7256i	−1.13264	−	0.727902i	−0.966109	+	0.258135i	$0.916892\pi$
$594$	−2.34528	+	2.70660i	−0.0962280	+	0.111053i
$595$	−5.22047	+	1.53287i	−0.214018	+	0.0628415i
$596$	−1.98786	−	4.35282i	−0.0814261	−	0.178298i
$597$	−18.5892			−0.760803
$598$	0.836644	−	0.361096i	0.0342129	−	0.0147663i
$599$	9.85920			0.402836			0.201418	−	0.979505i	$-0.435445\pi$
$599$	9.85920			0.402836			0.201418	+	0.979505i	$0.435445\pi$
$600$	1.73364	+	3.79614i	0.0707755	+	0.154977i
$601$	14.2697	−	4.18997i	0.582075	−	0.170913i	0.0225780	−	0.999745i	$-0.492813\pi$
$601$	14.2697	−	4.18997i	0.582075	−	0.170913i	0.559497	+	0.828833i	$0.310994\pi$
$602$	−4.99191	+	5.76098i	−0.203455	+	0.234800i
$603$	10.4029	+	6.68553i	0.423638	+	0.272256i
$604$	−5.81258	−	6.70807i	−0.236510	−	0.272948i
$605$	0.787078	+	5.47425i	0.0319993	+	0.222560i
$606$	−6.17557	−	1.81331i	−0.250865	−	0.0736607i
$607$	21.3900	−	13.7465i	0.868192	−	0.557953i	−0.0290072	−	0.999579i	$-0.509235\pi$
$607$	21.3900	−	13.7465i	0.868192	−	0.557953i	0.897199	+	0.441626i	$0.145598\pi$
$608$	−0.0731176	+	0.508544i	−0.00296531	+	0.0206242i
$609$	2.76063	−	6.04493i	0.111866	−	0.244953i
$610$	14.8368	−	32.4880i	0.600724	−	1.31540i
$611$	0.0681178	−	0.473770i	0.00275575	−	0.0191667i
$612$	1.51124	−	0.971213i	0.0610881	−	0.0392590i
$613$	−11.9329	−	3.50383i	−0.481967	−	0.141518i	0.0317184	−	0.999497i	$-0.489902\pi$
$613$	−11.9329	−	3.50383i	−0.481967	−	0.141518i	−0.513686	+	0.857979i	$0.671720\pi$
$614$	−3.88244	−	27.0030i	−0.156683	−	1.08975i
$615$	13.4474	+	15.5192i	0.542253	+	0.625793i
$616$	3.01282	+	1.93622i	0.121390	+	0.0780125i
$617$	20.1674	−	23.2744i	0.811907	−	0.936991i	−0.187063	−	0.982348i	$-0.559897\pi$
$617$	20.1674	−	23.2744i	0.811907	−	0.936991i	0.998971	+	0.0453568i	$0.0144425\pi$
$618$	−5.47698	+	1.60819i	−0.220317	+	0.0646908i
$619$	−14.0825	−	30.8363i	−0.566022	−	1.23942i	−0.948888	−	0.315612i	$-0.897790\pi$
$619$	−14.0825	−	30.8363i	−0.566022	−	1.23942i	0.382866	−	0.923804i	$-0.374937\pi$
$620$	−4.30337			−0.172827
$621$	−2.67677	+	3.97931i	−0.107415	+	0.159684i
$622$	−25.8360			−1.03593
$623$	−4.44968	−	9.74343i	−0.178273	−	0.390362i
$624$	−0.182311	+	0.0535312i	−0.00729827	+	0.00214296i
$625$	18.6309	−	21.5012i	0.745236	−	0.860048i
$626$	−8.40469	−	5.40137i	−0.335919	−	0.215882i
$627$	−1.20494	−	1.39058i	−0.0481208	−	0.0555343i
$628$	0.971328	+	6.75574i	0.0387602	+	0.269583i
$629$	13.2226	+	3.88250i	0.527218	+	0.154805i
$630$	−2.54794	+	1.63746i	−0.101512	+	0.0652380i
$631$	−1.49249	+	10.3805i	−0.0594150	+	0.413240i	0.938308	+	0.345800i	$0.112392\pi$
$631$	−1.49249	+	10.3805i	−0.0594150	+	0.413240i	−0.997723	+	0.0674404i	$0.978517\pi$
$632$	6.07368	−	13.2995i	0.241598	−	0.529026i
$633$	2.20042	−	4.81825i	0.0874590	−	0.191508i
$634$	3.30065	−	22.9565i	0.131085	−	0.911719i
$635$	11.9409	−	7.67393i	0.473859	−	0.304530i
$636$	−11.5585	−	3.39388i	−0.458324	−	0.134576i
$637$	0.0270409	+	0.188073i	0.00107140	+	0.00745173i
$638$	15.5855	+	17.9866i	0.617035	+	0.712096i
$639$	−5.92323	−	3.80663i	−0.234319	−	0.150588i
$640$	−1.98340	+	2.28897i	−0.0784009	+	0.0904795i
$641$	−42.9359	+	12.6071i	−1.69586	+	0.497951i	−0.979783	−	0.200065i	$-0.935885\pi$
$641$	−42.9359	+	12.6071i	−1.69586	+	0.497951i	−0.716082	+	0.698016i	$0.754066\pi$
$642$	−2.54023	−	5.56232i	−0.100255	−	0.219527i
$643$	21.4043			0.844103			0.422052	−	0.906572i	$-0.361310\pi$
$643$	21.4043			0.844103			0.422052	+	0.906572i	$0.361310\pi$
$644$	4.31975	+	2.08321i	0.170222	+	0.0820900i
$645$	23.0877			0.909077
$646$	0.383407	+	0.839543i	0.0150849	+	0.0330314i
$647$	17.8649	−	5.24561i	0.702342	−	0.206226i	0.0889862	−	0.996033i	$-0.471637\pi$
$647$	17.8649	−	5.24561i	0.702342	−	0.206226i	0.613356	+	0.789807i	$0.289819\pi$
$648$	0.654861	−	0.755750i	0.0257254	−	0.0296886i
$649$	−16.4901	−	10.5975i	−0.647292	−	0.415989i
$650$	−0.519273	−	0.599273i	−0.0203676	−	0.0235054i
$651$	−0.202207	−	1.40638i	−0.00792513	−	0.0551205i
$652$	16.3901	+	4.81257i	0.641887	+	0.188475i
$653$	−40.3352	+	25.9218i	−1.57844	+	1.01440i	−0.602028	+	0.798475i	$0.705640\pi$
$653$	−40.3352	+	25.9218i	−1.57844	+	1.01440i	−0.976410	+	0.215925i	$0.930723\pi$
$654$	2.08521	−	14.5029i	0.0815380	−	0.567110i
$655$	−6.32894	+	13.8584i	−0.247292	+	0.541494i
$656$	−2.81651	+	6.16729i	−0.109966	+	0.240792i
$657$	2.03590	−	14.1600i	0.0794279	−	0.552434i
$658$	2.11918	−	1.36191i	0.0826141	−	0.0530929i
$659$	−20.1219	−	5.90833i	−0.783839	−	0.230156i	−0.134762	−	0.990878i	$-0.543027\pi$
$659$	−20.1219	−	5.90833i	−0.783839	−	0.230156i	−0.649078	+	0.760722i	$0.724845\pi$
$660$	−1.54368	−	10.7366i	−0.0600878	−	0.417920i
$661$	4.34924	+	5.01929i	0.169166	+	0.195228i	0.834002	−	0.551761i	$-0.186044\pi$
$661$	4.34924	+	5.01929i	0.169166	+	0.195228i	−0.664836	+	0.746989i	$0.731499\pi$
$662$	11.7588	+	7.55691i	0.457018	+	0.293707i
$663$	−0.223524	+	0.257961i	−0.00868097	+	0.0100184i
$664$	13.3571	−	3.92200i	0.518356	−	0.152203i
$665$	−0.646422	−	1.41547i	−0.0250672	−	0.0548894i
$666$	7.67129			0.297256
$667$	23.6436	+	21.3708i	0.915485	+	0.827479i
$668$	2.22667			0.0861525
$669$	−1.92339	−	4.21164i	−0.0743626	−	0.162831i
$670$	−35.9361	+	10.5518i	−1.38833	+	0.407651i
$671$	−27.6561	+	31.9168i	−1.06765	+	1.23213i
$672$	−0.841254	−	0.540641i	−0.0324521	−	0.0208557i
$673$	9.74801	+	11.2498i	0.375758	+	0.433648i	0.911858	−	0.410507i	$-0.134648\pi$
$673$	9.74801	+	11.2498i	0.375758	+	0.433648i	−0.536099	+	0.844155i	$0.680103\pi$
$674$	−2.47632	−	17.2232i	−0.0953843	−	0.663412i
$675$	4.00422	+	1.17575i	0.154123	+	0.0452545i
$676$	−10.9059	+	7.00881i	−0.419459	+	0.269570i
$677$	−3.81871	+	26.5597i	−0.146765	+	1.02077i	0.774705	+	0.632323i	$0.217898\pi$
$677$	−3.81871	+	26.5597i	−0.146765	+	1.02077i	−0.921470	+	0.388450i	$0.873011\pi$
$678$	−5.06254	+	11.0854i	−0.194425	+	0.425732i
$679$	2.39708	−	5.24887i	0.0919915	−	0.201433i
$680$	−0.774316	+	5.38548i	−0.0296936	+	0.206524i
$681$	−16.2913	+	10.4698i	−0.624282	+	0.401202i
$682$	4.88241	+	1.43360i	0.186957	+	0.0548956i
$683$	0.599297	+	4.16821i	0.0229315	+	0.159492i	0.998070	−	0.0621062i	$-0.0197818\pi$
$683$	0.599297	+	4.16821i	0.0229315	+	0.159492i	−0.975138	+	0.221598i	$0.928873\pi$
$684$	0.336450	+	0.388284i	0.0128645	+	0.0148464i
$685$	−3.38984	−	2.17852i	−0.129519	−	0.0832368i
$686$	−0.654861	+	0.755750i	−0.0250027	+	0.0288547i
$687$	23.3080	−	6.84383i	0.889254	−	0.261109i
$688$	3.16665	+	6.93400i	0.120727	+	0.264356i
$689$	2.28891			0.0872006
$690$	−3.79940	−	14.0196i	−0.144641	−	0.533718i
$691$	−13.1626			−0.500729			−0.250365	−	0.968152i	$-0.580550\pi$
$691$	−13.1626			−0.500729			−0.250365	+	0.968152i	$0.580550\pi$
$692$	4.96255	+	10.8665i	0.188648	+	0.413081i
$693$	3.43627	−	1.00898i	0.130533	−	0.0383280i
$694$	2.88140	−	3.32531i	0.109376	−	0.126227i
$695$	16.2821	+	10.4638i	0.617614	+	0.396916i
$696$	−4.35185	−	5.02231i	−0.164957	−	0.190370i
$697$	1.73334	+	12.0557i	0.0656550	+	0.456641i
$698$	0.574812	+	0.168780i	0.0217570	+	0.00638842i
$699$	7.69842	−	4.94747i	0.291181	−	0.187131i
$700$	0.593918	−	4.13079i	0.0224480	−	0.156129i
$701$	−9.54555	+	20.9018i	−0.360530	+	0.789452i	0.639260	+	0.768991i	$0.279241\pi$
$701$	−9.54555	+	20.9018i	−0.360530	+	0.789452i	−0.999791	+	0.0204611i	$0.993487\pi$
$702$	−0.0789319	+	0.172837i	−0.00297909	+	0.00652330i
$703$	−0.560906	+	3.90119i	−0.0211550	+	0.147136i
$704$	3.01282	−	1.93622i	0.113550	−	0.0729741i
$705$	−7.32056	−	2.14951i	−0.275708	−	0.0809552i
$706$	4.23488	+	29.4543i	0.159382	+	1.10853i
$707$	4.21487	+	4.86422i	0.158516	+	0.182938i
$708$	4.60443	+	2.95909i	0.173045	+	0.111209i
$709$	11.2523	−	12.9858i	0.422588	−	0.487692i	−0.504036	−	0.863683i	$-0.668152\pi$
$709$	11.2523	−	12.9858i	0.422588	−	0.487692i	0.926623	+	0.375991i	$0.122698\pi$
$710$	20.4614	−	6.00801i	0.767903	−	0.225477i
$711$	−6.07368	−	13.2995i	−0.227781	−	0.498771i
$712$	−10.7114			−0.401427
$713$	6.72298	+	1.11083i	0.251777	+	0.0416011i
$714$	−1.79641			−0.0672290
$715$	0.856171	+	1.87475i	0.0320190	+	0.0701118i
$716$	−15.7987	+	4.63893i	−0.590427	+	0.173365i
$717$	−3.46997	+	4.00456i	−0.129588	+	0.149553i
$718$	14.7616	+	9.48674i	0.550900	+	0.354042i
$719$	−5.16276	−	5.95814i	−0.192538	−	0.222201i	0.651270	−	0.758847i	$-0.274237\pi$
$719$	−5.16276	−	5.95814i	−0.192538	−	0.222201i	−0.843808	+	0.536645i	$0.819691\pi$
$720$	0.431035	+	2.99791i	0.0160637	+	0.111726i
$721$	5.47698	+	1.60819i	0.203973	+	0.0598920i
$722$	15.7618	−	10.1295i	0.586592	−	0.376980i
$723$	2.49271	−	17.3372i	0.0927047	−	0.644776i
$724$	0.400305	−	0.876545i	0.0148772	−	0.0325765i
$725$	11.5208	−	25.2271i	0.427873	−	0.936911i
$726$	−0.259870	+	1.80743i	−0.00964467	+	0.0670802i
$727$	−8.74253	+	5.61848i	−0.324243	+	0.208378i	−0.692628	−	0.721295i	$-0.743547\pi$
$727$	−8.74253	+	5.61848i	−0.324243	+	0.208378i	0.368385	+	0.929673i	$0.379911\pi$
$728$	0.182311	+	0.0535312i	0.00675688	+	0.00198400i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	28.3738	+	32.7451i	1.05016	+	1.21195i
$731$	11.5200	+	7.40343i	0.426081	+	0.273826i
$732$	7.72226	−	8.91197i	0.285423	−	0.329396i
$733$	26.4975	−	7.78036i	0.978706	−	0.287374i	0.247016	−	0.969011i	$-0.420550\pi$
$733$	26.4975	−	7.78036i	0.978706	−	0.287374i	0.731690	+	0.681637i	$0.238732\pi$
$734$	−4.84061	−	10.5995i	−0.178670	−	0.391233i
$735$	3.02874			0.111717
$736$	3.68944	−	3.06398i	0.135995	−	0.112940i
$737$	44.2866			1.63132
$738$	2.81651	+	6.16729i	0.103677	+	0.227021i
$739$	−9.96643	+	2.92641i	−0.366621	+	0.107650i	−0.459854	−	0.887995i	$-0.652098\pi$
$739$	−9.96643	+	2.92641i	−0.366621	+	0.107650i	0.0932326	+	0.995644i	$0.470280\pi$
$740$	−15.2153	+	17.5593i	−0.559324	+	0.645494i
$741$	−0.0821237	−	0.0527777i	−0.00301689	−	0.00193884i
$742$	7.88875	+	9.10410i	0.289605	+	0.334222i
$743$	−2.39925	−	16.6871i	−0.0880199	−	0.612192i	−0.985313	−	0.170757i	$-0.945379\pi$
$743$	−2.39925	−	16.6871i	−0.0880199	−	0.612192i	0.897293	−	0.441435i	$-0.145530\pi$
$744$	−1.36329	−	0.400298i	−0.0499806	−	0.0146756i
$745$	12.1925	−	7.83566i	0.446700	−	0.287076i
$746$	0.566921	−	3.94302i	0.0207565	−	0.144364i
$747$	5.78299	−	12.6630i	0.211588	−	0.463314i
$748$	2.67260	−	5.85218i	0.0977199	−	0.213977i
$749$	−0.870243	+	6.05268i	−0.0317980	+	0.221160i
$750$	2.10646	−	1.35374i	0.0769170	−	0.0494315i
$751$	−20.9253	−	6.14422i	−0.763575	−	0.224206i	−0.123319	−	0.992367i	$-0.539354\pi$
$751$	−20.9253	−	6.14422i	−0.763575	−	0.224206i	−0.640257	+	0.768161i	$0.721172\pi$
$752$	−0.358501	−	2.49343i	−0.0130732	−	0.0909260i
$753$	10.3167	+	11.9062i	0.375963	+	0.433885i
$754$	1.06224	+	0.682660i	0.0386845	+	0.0248610i
$755$	17.6048	−	20.3170i	0.640704	−	0.739412i
$756$	−0.959493	+	0.281733i	−0.0348964	+	0.0102465i
$757$	12.4148	+	27.1845i	0.451222	+	0.988038i	0.989401	+	0.145208i	$0.0463851\pi$
$757$	12.4148	+	27.1845i	0.451222	+	0.988038i	−0.538179	+	0.842830i	$0.680888\pi$
$758$	32.5956			1.18393
$759$	−0.359809	+	17.1717i	−0.0130602	+	0.623295i
$760$	−1.55609			−0.0564452
$761$	−21.6046	−	47.3074i	−0.783165	−	1.71489i	−0.695255	−	0.718763i	$-0.744708\pi$
$761$	−21.6046	−	47.3074i	−0.783165	−	1.71489i	−0.0879101	−	0.996128i	$-0.528019\pi$
$762$	4.49664	−	1.32033i	0.162896	−	0.0478306i
$763$	−9.59507	+	11.0733i	−0.347365	+	0.400880i
$764$	−0.00217898	−	0.00140034i	−7.88326e−5	−	5.06626e-5i
$765$	3.56301	+	4.11193i	0.128821	+	0.148667i
$766$	3.26723	+	22.7241i	0.118050	+	0.821054i
$767$	−0.997841	−	0.292993i	−0.0360300	−	0.0105793i
$768$	−0.841254	+	0.540641i	−0.0303561	+	0.0195087i
$769$	0.539711	−	3.75377i	0.0194625	−	0.135365i	−0.977773	−	0.209664i	$-0.932763\pi$
$769$	0.539711	−	3.75377i	0.0194625	−	0.135365i	0.997236	+	0.0742995i	$0.0236721\pi$
$770$	−4.50599	+	9.86674i	−0.162385	+	0.355573i
$771$	11.3487	−	24.8501i	0.408713	−	0.894956i
$772$	−1.29610	+	9.01455i	−0.0466476	+	0.324441i
$773$	−23.2560	+	14.9457i	−0.836459	+	0.537560i	−0.887324	−	0.461146i	$-0.847439\pi$
$773$	−23.2560	+	14.9457i	−0.836459	+	0.537560i	0.0508650	+	0.998706i	$0.483802\pi$
$774$	7.31409	+	2.14761i	0.262899	+	0.0771942i
$775$	−0.843865	−	5.86921i	−0.0303125	−	0.210828i
$776$	−3.77876	−	4.36092i	−0.135650	−	0.156548i
$777$	−6.45350	−	4.14741i	−0.231518	−	0.148788i
$778$	4.40577	−	5.08453i	0.157954	−	0.182289i
$779$	−3.34227	+	0.981380i	−0.119749	+	0.0351616i
$780$	−0.239064	−	0.523477i	−0.00855987	−	0.0187435i
$781$	−25.2161			−0.902303
$782$	2.59984	−	8.21364i	0.0929702	−	0.293719i
$783$	−6.64546			−0.237489
$784$	0.415415	+	0.909632i	0.0148363	+	0.0324869i
$785$	−19.8344	+	5.82391i	−0.707921	+	0.207864i
$786$	−3.29409	+	3.80158i	−0.117496	+	0.135598i
$787$	−27.8442	−	17.8944i	−0.992537	−	0.637865i	−0.0597201	−	0.998215i	$-0.519021\pi$
$787$	−27.8442	−	17.8944i	−0.992537	−	0.637865i	−0.932817	+	0.360350i	$0.882657\pi$
$788$	0.831507	+	0.959610i	0.0296212	+	0.0341847i
$789$	−1.65308	−	11.4974i	−0.0588513	−	0.409320i
$790$	42.4887	+	12.4758i	1.51168	+	0.443870i
$791$	10.2521	−	6.58862i	0.364523	−	0.234264i
$792$	0.509678	−	3.54489i	0.0181106	−	0.125962i
$793$	−0.930782	+	2.03813i	−0.0330530	+	0.0723761i
$794$	4.05158	−	8.87172i	0.143785	−	0.314846i
$795$	5.19244	−	36.1142i	0.184157	−	1.28084i
$796$	15.6382	−	10.0501i	0.554281	−	0.356215i
$797$	18.8815	+	5.54409i	0.668815	+	0.196382i	0.598475	−	0.801141i	$-0.295773\pi$
$797$	18.8815	+	5.54409i	0.668815	+	0.196382i	0.0703399	+	0.997523i	$0.477592\pi$
$798$	−0.0731176	−	0.508544i	−0.00258833	−	0.0180023i
$799$	−2.96343	−	3.41998i	−0.104839	−	0.120990i
$800$	−3.51078	−	2.25624i	−0.124125	−	0.0797701i
$801$	−7.01448	+	8.09514i	−0.247844	+	0.286028i
$802$	34.9000	−	10.2476i	1.23236	−	0.361854i
$803$	−21.2831	−	46.6034i	−0.751063	−	1.64460i
$804$	−12.3659			−0.436113
$805$	−4.38332	+	13.8482i	−0.154492	+	0.488084i
$806$	0.269971			0.00950931
$807$	0.843301	+	1.84657i	0.0296856	+	0.0650024i
$808$	6.17557	−	1.81331i	0.217256	−	0.0637920i
$809$	−5.37456	+	6.20258i	−0.188960	+	0.218071i	−0.842322	−	0.538974i	$-0.818812\pi$
$809$	−5.37456	+	6.20258i	−0.188960	+	0.218071i	0.653363	+	0.757045i	$0.273358\pi$
$810$	2.54794	+	1.63746i	0.0895254	+	0.0575345i
$811$	29.4184	+	33.9506i	1.03302	+	1.19217i	0.981097	+	0.193516i	$0.0619891\pi$
$811$	29.4184	+	33.9506i	1.03302	+	1.19217i	0.0519215	+	0.998651i	$0.483465\pi$
$812$	0.945748	+	6.57782i	0.0331893	+	0.230836i
$813$	−1.65673	−	0.486461i	−0.0581042	−	0.0170609i
$814$	23.1122	−	14.8533i	0.810082	−	0.520608i
$815$	−7.36296	+	51.2105i	−0.257913	+	1.79383i
$816$	−0.746256	+	1.63407i	−0.0261242	+	0.0572040i
$817$	−1.62694	+	3.56251i	−0.0569195	+	0.124636i
$818$	1.57886	−	10.9812i	0.0552034	−	0.383948i
$819$	0.159844	−	0.102726i	0.00558541	−	0.00358953i
$820$	−19.7030	−	5.78532i	−0.688059	−	0.202032i
$821$	−7.06139	−	49.1130i	−0.246444	−	1.71406i	−0.618448	−	0.785825i	$-0.712238\pi$
$821$	−7.06139	−	49.1130i	−0.246444	−	1.71406i	0.372004	−	0.928231i	$-0.378671\pi$
$822$	−0.871242	−	1.00547i	−0.0303881	−	0.0350697i
$823$	−22.7162	−	14.5988i	−0.791837	−	0.508883i	0.0811059	−	0.996705i	$-0.474155\pi$
$823$	−22.7162	−	14.5988i	−0.791837	−	0.508883i	−0.872943	+	0.487823i	$0.837791\pi$
$824$	3.73808	−	4.31397i	0.130222	−	0.150284i
$825$	14.3405	−	4.21075i	0.499272	−	0.146599i
$826$	−2.27369	−	4.97869i	−0.0791119	−	0.173231i
$827$	37.1626			1.29227			0.646135	−	0.763223i	$-0.276384\pi$
$827$	37.1626			1.29227			0.646135	+	0.763223i	$0.276384\pi$
$828$	0.100467	−	4.79478i	0.00349149	−	0.166630i
$829$	−7.10894			−0.246904			−0.123452	−	0.992351i	$-0.539396\pi$
$829$	−7.10894			−0.246904			−0.123452	+	0.992351i	$0.539396\pi$
$830$	17.5152	+	38.3529i	0.607960	+	1.33125i
$831$	2.99072	−	0.878155i	0.103747	−	0.0304628i
$832$	0.124428	−	0.143598i	0.00431377	−	0.00497836i
$833$	1.51124	+	0.971213i	0.0523613	+	0.0336505i
$834$	4.18475	+	4.82946i	0.144906	+	0.167230i
$835$	0.959772	+	6.67536i	0.0332143	+	0.231010i
$836$	1.76547	+	0.518388i	0.0610599	+	0.0179288i
$837$	−1.19529	+	0.768166i	−0.0413153	+	0.0265517i
$838$	−4.91090	+	34.1561i	−0.169644	+	1.17990i
$839$	5.89037	−	12.8981i	0.203358	−	0.445292i	−0.780284	−	0.625425i	$-0.784926\pi$
$839$	5.89037	−	12.8981i	0.203358	−	0.445292i	0.983642	+	0.180133i	$0.0576528\pi$
$840$	1.25818	−	2.75504i	0.0434115	−	0.0950579i
$841$	−2.15780	+	15.0079i	−0.0744070	+	0.517512i
$842$	−22.3506	+	14.3638i	−0.770252	+	0.495011i
$843$	−11.5783	−	3.39968i	−0.398777	−	0.117091i
$844$	0.753831	+	5.24301i	0.0259479	+	0.180472i
$845$	−25.7126	−	29.6740i	−0.884542	−	1.02082i
$846$	−2.11918	−	1.36191i	−0.0728588	−	0.0468235i
$847$	1.19579	−	1.38001i	0.0410878	−	0.0474178i
$848$	11.5585	−	3.39388i	0.396920	−	0.116546i
$849$	0.573338	+	1.25543i	0.0196769	+	0.0430864i
$850$	−7.49691			−0.257142
$851$	28.3028	−	23.5047i	0.970207	−	0.805731i
$852$	7.04096			0.241219
$853$	−1.51148	−	3.30969i	−0.0517522	−	0.113322i	0.881989	−	0.471269i	$-0.156204\pi$
$853$	−1.51148	−	3.30969i	−0.0517522	−	0.113322i	−0.933742	+	0.357948i	$0.883477\pi$
$854$	−11.3146	+	3.32225i	−0.387176	+	0.113685i
$855$	−1.01902	+	1.17601i	−0.0348497	+	0.0402187i
$856$	5.14420	+	3.30597i	0.175825	+	0.112996i
$857$	29.5582	+	34.1119i	1.00969	+	1.16524i	0.986207	+	0.165517i	$0.0529294\pi$
$857$	29.5582	+	34.1119i	1.00969	+	1.16524i	0.0234809	+	0.999724i	$0.492525\pi$
$858$	0.0968426	+	0.673555i	0.00330615	+	0.0229948i
$859$	29.4093	+	8.63534i	1.00343	+	0.294634i	0.741864	−	0.670551i	$-0.233942\pi$
$859$	29.4093	+	8.63534i	1.00343	+	0.294634i	0.261568	+	0.965185i	$0.415760\pi$
$860$	−19.4226	+	12.4821i	−0.662305	+	0.425638i
$861$	0.964892	−	6.71097i	0.0328834	−	0.228709i
$862$	−13.0635	+	28.6051i	−0.444944	+	0.974292i
$863$	12.1735	−	26.6563i	0.414392	−	0.907393i	−0.581214	−	0.813751i	$-0.697422\pi$
$863$	12.1735	−	26.6563i	0.414392	−	0.907393i	0.995606	−	0.0936417i	$-0.0298508\pi$
$864$	−0.142315	+	0.989821i	−0.00484165	+	0.0336744i
$865$	−30.4377	+	19.5611i	−1.03491	+	0.665097i
$866$	−32.8232	−	9.63775i	−1.11538	−	0.327504i
$867$	−1.96009	−	13.6327i	−0.0665681	−	0.462991i
$868$	0.930455	+	1.07380i	0.0315817	+	0.0364472i
$869$	−44.0497	−	28.3090i	−1.49428	−	0.960317i
$870$	13.1806	−	15.2113i	0.446865	−	0.515710i
$871$	2.25444	−	0.661964i	0.0763888	−	0.0224298i
$872$	6.08669	+	13.3280i	0.206121	+	0.451343i
$873$	−5.77033			−0.195296
$874$	2.43101	+	0.401675i	0.0822301	+	0.0135868i
$875$	−2.50395			−0.0846490
$876$	5.94276	+	13.0128i	0.200787	+	0.439663i
$877$	13.8221	−	4.05853i	0.466738	−	0.137047i	−0.0399032	−	0.999204i	$-0.512705\pi$
$877$	13.8221	−	4.05853i	0.466738	−	0.137047i	0.506642	+	0.862157i	$0.330887\pi$
$878$	20.3939	−	23.5358i	0.688262	−	0.794296i
$879$	3.29519	+	2.11769i	0.111144	+	0.0714279i
$880$	7.10325	+	8.19759i	0.239450	+	0.276341i
$881$	−2.07932	−	14.4620i	−0.0700541	−	0.487237i	−0.994400	−	0.105682i	$-0.966298\pi$
$881$	−2.07932	−	14.4620i	−0.0700541	−	0.487237i	0.924346	−	0.381556i	$-0.124612\pi$
$882$	0.959493	+	0.281733i	0.0323078	+	0.00948643i
$883$	−28.3651	+	18.2291i	−0.954561	+	0.613459i	−0.922488	−	0.386026i	$-0.873847\pi$
$883$	−28.3651	+	18.2291i	−0.954561	+	0.613459i	−0.0320734	+	0.999486i	$0.510211\pi$
$884$	0.0485765	−	0.337857i	0.00163380	−	0.0113634i
$885$	−6.88642	+	15.0792i	−0.231485	+	0.506880i
$886$	−0.945392	+	2.07012i	−0.0317611	+	0.0695470i
$887$	1.23026	−	8.55663i	0.0413080	−	0.287304i	−0.958688	−	0.284460i	$-0.908186\pi$
$887$	1.23026	−	8.55663i	0.0413080	−	0.287304i	0.999996	−	0.00284371i	$-0.000905181\pi$
$888$	−6.45350	+	4.14741i	−0.216565	+	0.139178i
$889$	−4.49664	−	1.32033i	−0.150813	−	0.0442826i
$890$	−4.61699	−	32.1118i	−0.154762	−	1.07639i
$891$	−2.34528	−	2.70660i	−0.0785699	−	0.0906745i
$892$	3.89505	+	2.50319i	0.130416	+	0.0838131i
$893$	0.847541	−	0.978115i	0.0283619	−	0.0327314i
$894$	4.59141	−	1.34816i	0.153560	−	0.0450892i
$895$	−20.7169	−	45.3637i	−0.692490	−	1.51634i
$896$	1.00000			0.0334077
$897$	0.238354	+	0.879517i	0.00795841	+	0.0293662i
$898$	−16.1557			−0.539123
$899$	3.92242	+	8.58890i	0.130820	+	0.286456i
$900$	−4.00422	+	1.17575i	−0.133474	+	0.0391915i
$901$	14.1714	−	16.3547i	0.472119	−	0.544854i
$902$	20.4268	+	13.1275i	0.680140	+	0.437099i
$903$	−4.99191	−	5.76098i	−0.166121	−	0.191713i
$904$	−1.73435	−	12.0626i	−0.0576835	−	0.401198i
$905$	2.80035	+	0.822257i	0.0930868	+	0.0273328i
$906$	7.46701	−	4.79876i	0.248075	−	0.159428i
$907$	5.56567	−	38.7101i	0.184805	−	1.28535i	−0.660403	−	0.750911i	$-0.729615\pi$
$907$	5.56567	−	38.7101i	0.184805	−	1.28535i	0.845208	−	0.534437i	$-0.179476\pi$
$908$	8.04470	−	17.6154i	0.266973	−	0.584589i
$909$	2.67373	−	5.85465i	0.0886820	−	0.194186i
$910$	−0.0818997	+	0.569625i	−0.00271495	+	0.0188829i
$911$	23.9884	−	15.4164i	0.794773	−	0.510769i	−0.0791335	−	0.996864i	$-0.525215\pi$
$911$	23.9884	−	15.4164i	0.794773	−	0.510769i	0.873906	+	0.486095i	$0.161579\pi$
$912$	−0.492962	−	0.144747i	−0.0163236	−	0.00479304i
$913$	−7.09523	−	49.3484i	−0.234818	−	1.63319i
$914$	−4.61046	−	5.32076i	−0.152501	−	0.175995i
$915$	30.0459	+	19.3093i	0.993286	+	0.638346i
$916$	−15.9078	+	18.3586i	−0.525610	+	0.606586i
$917$	4.82646	−	1.41718i	0.159384	−	0.0467993i
$918$	0.746256	+	1.63407i	0.0246301	+	0.0539325i
$919$	15.6966			0.517784			0.258892	−	0.965906i	$-0.416643\pi$
$919$	15.6966			0.517784			0.258892	+	0.965906i	$0.416643\pi$
$920$	10.7758	+	9.73995i	0.355269	+	0.321117i
$921$	27.2807			0.898929
$922$	1.59807	+	3.49929i	0.0526298	+	0.115243i
$923$	−1.28364	+	0.376911i	−0.0422516	+	0.0124062i
$924$	−2.34528	+	2.70660i	−0.0771541	+	0.0890406i
$925$	−26.9322	−	17.3083i	−0.885525	−	0.569092i
$926$	−6.29844	−	7.26879i	−0.206980	−	0.238867i
$927$	−0.812362	−	5.65010i	−0.0266815	−	0.185574i
$928$	6.37628	+	1.87224i	0.209312	+	0.0614594i
$929$	−8.63174	+	5.54728i	−0.283198	+	0.182000i	−0.674526	−	0.738251i	$-0.735652\pi$
$929$	−8.63174	+	5.54728i	−0.283198	+	0.182000i	0.391328	+	0.920251i	$0.372016\pi$
$930$	0.612433	−	4.25957i	0.0200825	−	0.139677i
$931$	−0.213429	+	0.467345i	−0.00699486	+	0.0153166i
$932$	−3.80152	+	8.32416i	−0.124523	+	0.272667i
$933$	3.67685	−	25.5730i	0.120375	−	0.837224i
$934$	−9.68176	+	6.22209i	−0.316797	+	0.203593i
$935$	18.6963	+	5.48973i	0.611434	+	0.179533i
$936$	−0.0270409	−	0.188073i	−0.000883858	−	0.00614737i
$937$	29.9899	+	34.6101i	0.979726	+	1.13066i	0.991418	+	0.130732i	$0.0417329\pi$
$937$	29.9899	+	34.6101i	0.979726	+	1.13066i	−0.0116917	+	0.999932i	$0.503722\pi$
$938$	10.4029	+	6.68553i	0.339666	+	0.218290i
$939$	6.54250	−	7.55045i	0.213506	−	0.246400i
$940$	7.32056	−	2.14951i	0.238770	−	0.0701093i
$941$	−9.06673	−	19.8534i	−0.295567	−	0.647202i	0.702342	−	0.711840i	$-0.252138\pi$
$941$	−9.06673	−	19.8534i	−0.295567	−	0.647202i	−0.997909	+	0.0646383i	$0.979411\pi$
$942$	−6.82521			−0.222377
$943$	29.2878	+	14.1241i	0.953742	+	0.459945i
$944$	−5.47330			−0.178141
$945$	−1.25818	−	2.75504i	−0.0409287	−	0.0896214i
$946$	26.1943	−	7.69133i	0.851649	−	0.250067i
$947$	−19.5399	+	22.5502i	−0.634961	+	0.732784i	−0.978475	−	0.206364i	$-0.933837\pi$
$947$	−19.5399	+	22.5502i	−0.634961	+	0.732784i	0.343515	+	0.939147i	$0.388382\pi$
$948$	12.2998	+	7.90458i	0.399478	+	0.256729i
$949$	−1.78002	−	2.05425i	−0.0577819	−	0.0666839i
$950$	−0.305139	−	2.12229i	−0.00990003	−	0.0688562i
$951$	22.2531	+	6.53410i	0.721607	+	0.211883i
$952$	1.51124	−	0.971213i	0.0489795	−	0.0314772i
$953$	5.18567	−	36.0672i	0.167980	−	1.16833i	−0.715070	−	0.699053i	$-0.753605\pi$
$953$	5.18567	−	36.0672i	0.167980	−	1.16833i	0.883051	−	0.469277i	$-0.155486\pi$
$954$	5.00428	−	10.9578i	0.162019	−	0.354773i
$955$	0.00325889	−	0.00713598i	0.000105455	−	0.000230915i
$956$	0.754096	−	5.24485i	0.0243892	−	0.169631i
$957$	−20.0216	+	12.8671i	−0.647205	+	0.415934i
$958$	30.0774	+	8.83152i	0.971756	+	0.285333i
$959$	0.189339	+	1.31688i	0.00611407	+	0.0425243i
$960$	−1.98340	−	2.28897i	−0.0640141	−	0.0738762i
$961$	−24.3805	−	15.6684i	−0.786469	−	0.505433i
$962$	0.954525	−	1.10158i	0.0307751	−	0.0355164i
$963$	5.86722	−	1.72277i	0.189068	−	0.0555155i
$964$	7.27617	+	15.9326i	0.234350	+	0.513154i
$965$	−27.5835			−0.887944
$966$	−2.67677	+	3.97931i	−0.0861237	+	0.128032i
$967$	−33.0172			−1.06176			−0.530880	−	0.847447i	$-0.678139\pi$
$967$	−33.0172			−1.06176			−0.530880	+	0.847447i	$0.678139\pi$
$968$	−0.758556	−	1.66101i	−0.0243809	−	0.0533868i
$969$	−0.885562	+	0.260025i	−0.0284484	+	0.00835319i
$970$	11.4449	−	13.2081i	0.367473	−	0.424087i
$971$	−36.6322	−	23.5421i	−1.17558	−	0.755502i	−0.201015	−	0.979588i	$-0.564424\pi$
$971$	−36.6322	−	23.5421i	−1.17558	−	0.755502i	−0.974569	+	0.224086i	$0.928060\pi$
$972$	0.654861	+	0.755750i	0.0210047	+	0.0242407i
$973$	−0.909433	−	6.32524i	−0.0291551	−	0.202778i
$974$	6.81742	+	2.00177i	0.218444	+	0.0641410i
$975$	0.667073	−	0.428702i	0.0213634	−	0.0137294i
$976$	−1.67821	+	11.6722i	−0.0537181	+	0.373618i
$977$	−13.6370	+	29.8609i	−0.436286	+	0.955333i	0.555979	+	0.831196i	$0.312343\pi$
$977$	−13.6370	+	29.8609i	−0.436286	+	0.955333i	−0.992265	+	0.124137i	$0.960384\pi$
$978$	−7.09615	+	15.5384i	−0.226910	+	0.496863i
$979$	−5.45937	+	37.9707i	−0.174482	+	1.21355i
$980$	−2.54794	+	1.63746i	−0.0813909	+	0.0523068i
$981$	14.0586	+	4.12797i	0.448855	+	0.131796i
$982$	−2.08638	−	14.5111i	−0.0665791	−	0.463068i
$983$	31.8929	+	36.8064i	1.01723	+	1.17394i	0.984662	+	0.174471i	$0.0558215\pi$
$983$	31.8929	+	36.8064i	1.01723	+	1.17394i	0.0325631	+	0.999470i	$0.489633\pi$
$984$	−5.70368	−	3.66553i	−0.181827	−	0.116853i
$985$	−2.51842	+	2.90641i	−0.0802435	+	0.0926059i
$986$	11.4544	−	3.36332i	0.364783	−	0.107110i
$987$	1.04646	+	2.29143i	0.0333092	+	0.0729369i
$988$	0.0976207			0.00310573
$989$	33.5652	−	14.4868i	1.06731	−	0.460652i
$990$	10.8470			0.344739
$991$	−11.4470	−	25.0654i	−0.363626	−	0.796230i	−0.999697	−	0.0245998i	$-0.992169\pi$
$991$	−11.4470	−	25.0654i	−0.363626	−	0.796230i	0.636071	−	0.771630i	$-0.280558\pi$
$992$	1.36329	−	0.400298i	0.0432845	−	0.0127095i
$993$	−9.15343	+	10.5636i	−0.290475	+	0.335227i
$994$	−5.92323	−	3.80663i	−0.187873	−	0.120739i
$995$	36.8698	+	42.5500i	1.16885	+	1.34893i
$996$	1.98116	+	13.7793i	0.0627756	+	0.436614i
$997$	6.74463	+	1.98040i	0.213604	+	0.0627199i	0.386784	−	0.922170i	$-0.373586\pi$
$997$	6.74463	+	1.98040i	0.213604	+	0.0627199i	−0.173180	+	0.984890i	$0.555404\pi$
$998$	−24.5339	+	15.7670i	−0.776606	+	0.499094i
$999$	−1.09174	+	7.59321i	−0.0345411	+	0.240238i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.g.211.1	✓	30
23.6	even	11	inner	966.2.q.g.673.1	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.g.211.1	✓	30	1.1	even	1	trivial
966.2.q.g.673.1	yes	30	23.6	even	11	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.415415 - 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-2.54794 - 1.63746i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(-0.415415 - 0.909632i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-2.54794 - 1.63746i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(0.142315 + 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.431035 + 2.99791i) q^{10} +(1.48774 - 3.25770i) q^{11} +(-0.415415 + 0.909632i) q^{12} +(0.0270409 - 0.188073i) q^{13} +(0.841254 - 0.540641i) q^{14} +(-2.90606 - 0.853295i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-1.17640 - 1.35764i) q^{17} +(-0.841254 - 0.540641i) q^{18} +(0.336450 - 0.388284i) q^{19} +(2.90606 - 0.853295i) q^{20} +(0.415415 + 0.909632i) q^{21} -3.58134 q^{22} +(-4.76027 + 0.582923i) q^{23} +1.00000 q^{24} +(1.73364 + 3.79614i) q^{25} +(-0.182311 + 0.0535312i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-0.841254 - 0.540641i) q^{28} +(-4.35185 - 5.02231i) q^{29} +(0.431035 + 2.99791i) q^{30} +(-1.36329 - 0.400298i) q^{31} +(-0.841254 + 0.540641i) q^{32} +(0.509678 - 3.54489i) q^{33} +(-0.746256 + 1.63407i) q^{34} +(1.25818 - 2.75504i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-6.45350 + 4.14741i) q^{37} +(-0.492962 - 0.144747i) q^{38} +(-0.0270409 - 0.188073i) q^{39} +(-1.98340 - 2.28897i) q^{40} +(-5.70368 - 3.66553i) q^{41} +(0.654861 - 0.755750i) q^{42} +(-7.31409 + 2.14761i) q^{43} +(1.48774 + 3.25770i) q^{44} -3.02874 q^{45} +(2.50773 + 4.08794i) q^{46} +2.51907 q^{47} +(-0.415415 - 0.909632i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(2.73291 - 3.15395i) q^{50} +(-1.51124 - 0.971213i) q^{51} +(0.124428 + 0.143598i) q^{52} +(1.71439 + 11.9238i) q^{53} +(-0.959493 - 0.281733i) q^{54} +(-9.12504 + 5.86431i) q^{55} +(-0.142315 + 0.989821i) q^{56} +(0.213429 - 0.467345i) q^{57} +(-2.76063 + 6.04493i) q^{58} +(0.778932 - 5.41759i) q^{59} +(2.54794 - 1.63746i) q^{60} +(-11.3146 - 3.32225i) q^{61} +(0.202207 + 1.40638i) q^{62} +(0.654861 + 0.755750i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-0.376861 + 0.434921i) q^{65} +(-3.43627 + 1.00898i) q^{66} +(5.13699 + 11.2484i) q^{67} +1.79641 q^{68} +(-4.40322 + 1.90043i) q^{69} -3.02874 q^{70} +(-2.92492 - 6.40468i) q^{71} +(0.959493 - 0.281733i) q^{72} +(9.36817 - 10.8114i) q^{73} +(6.45350 + 4.14741i) q^{74} +(2.73291 + 3.15395i) q^{75} +(0.0731176 + 0.508544i) q^{76} +(3.43627 + 1.00898i) q^{77} +(-0.159844 + 0.102726i) q^{78} +(2.08075 - 14.4719i) q^{79} +(-1.25818 + 2.75504i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.964892 + 6.71097i) q^{82} +(11.7111 - 7.52625i) q^{83} +(-0.959493 - 0.281733i) q^{84} +(0.774316 + 5.38548i) q^{85} +(4.99191 + 5.76098i) q^{86} +(-5.59052 - 3.59281i) q^{87} +(2.34528 - 2.70660i) q^{88} +(-10.2775 + 3.01775i) q^{89} +(1.25818 + 2.75504i) q^{90} +0.190007 q^{91} +(2.67677 - 3.97931i) q^{92} -1.42084 q^{93} +(-1.04646 - 2.29143i) q^{94} +(-1.49305 + 0.438400i) q^{95} +(-0.654861 + 0.755750i) q^{96} +(-4.85431 - 3.11967i) q^{97} +(0.654861 + 0.755750i) q^{98} +(-0.509678 - 3.54489i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

Introduction

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