LMFDB - Embedded newform 145.2.k.a.81.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [145,2,Mod(16,145)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(145, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("145.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 145 = 5 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	145.k (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.15783082931$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			81.4
Character	$\chi$	$=$	145.81
Dual form			145.2.k.a.111.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.926597 - 1.16192i) q^{2} +(-0.508780 + 2.22911i) q^{3} +(-0.0464250 - 0.203401i) q^{4} +(-0.623490 + 0.781831i) q^{5} +(2.11861 + 2.65665i) q^{6} +(0.153120 - 0.670862i) q^{7} +(2.39859 + 1.15510i) q^{8} +(-2.00718 - 0.966605i) q^{9} +O(q^{10})$	\(q+(0.926597 - 1.16192i) q^{2} +(-0.508780 + 2.22911i) q^{3} +(-0.0464250 - 0.203401i) q^{4} +(-0.623490 + 0.781831i) q^{5} +(2.11861 + 2.65665i) q^{6} +(0.153120 - 0.670862i) q^{7} +(2.39859 + 1.15510i) q^{8} +(-2.00718 - 0.966605i) q^{9} +(0.330699 + 1.44889i) q^{10} +(1.54970 - 0.746297i) q^{11} +0.477024 q^{12} +(-0.0914371 + 0.0440338i) q^{13} +(-0.637605 - 0.799532i) q^{14} +(-1.42557 - 1.78761i) q^{15} +(3.94060 - 1.89769i) q^{16} -3.34358 q^{17} +(-2.98296 + 1.43652i) q^{18} +(-1.21161 - 5.30842i) q^{19} +(0.187971 + 0.0905220i) q^{20} +(1.41752 + 0.682643i) q^{21} +(0.568814 - 2.49214i) q^{22} +(-3.88009 - 4.86548i) q^{23} +(-3.79520 + 4.75904i) q^{24} +(-0.222521 - 0.974928i) q^{25} +(-0.0335618 + 0.147044i) q^{26} +(-1.10083 + 1.38040i) q^{27} -0.143563 q^{28} +(3.91270 - 3.70010i) q^{29} -3.39798 q^{30} +(1.41669 - 1.77647i) q^{31} +(0.261583 - 1.14607i) q^{32} +(0.875121 + 3.83416i) q^{33} +(-3.09815 + 3.88496i) q^{34} +(0.429033 + 0.537990i) q^{35} +(-0.103425 + 0.453136i) q^{36} +(9.86181 + 4.74920i) q^{37} +(-7.29061 - 3.51097i) q^{38} +(-0.0516348 - 0.226227i) q^{39} +(-2.39859 + 1.15510i) q^{40} -1.95638 q^{41} +(2.10665 - 1.01451i) q^{42} +(0.526255 + 0.659903i) q^{43} +(-0.223742 - 0.280564i) q^{44} +(2.00718 - 0.966605i) q^{45} -9.24857 q^{46} +(-6.51242 + 3.13622i) q^{47} +(2.22527 + 9.74955i) q^{48} +(5.88017 + 2.83174i) q^{49} +(-1.33897 - 0.644815i) q^{50} +(1.70115 - 7.45321i) q^{51} +(0.0132015 + 0.0165541i) q^{52} +(-6.83861 + 8.57535i) q^{53} +(0.583880 + 2.55814i) q^{54} +(-0.382744 + 1.67691i) q^{55} +(1.14219 - 1.43226i) q^{56} +12.4495 q^{57} +(-0.673711 - 7.97474i) q^{58} -3.73907 q^{59} +(-0.297420 + 0.372952i) q^{60} +(2.34741 - 10.2847i) q^{61} +(-0.751410 - 3.29214i) q^{62} +(-0.955797 + 1.19853i) q^{63} +(4.36471 + 5.47317i) q^{64} +(0.0225831 - 0.0989430i) q^{65} +(5.26585 + 2.53590i) q^{66} +(-2.22030 - 1.06924i) q^{67} +(0.155226 + 0.680088i) q^{68} +(12.8198 - 6.17370i) q^{69} +1.02264 q^{70} +(0.106536 - 0.0513050i) q^{71} +(-3.69787 - 4.63698i) q^{72} +(-2.25138 - 2.82314i) q^{73} +(14.6561 - 7.05800i) q^{74} +2.28644 q^{75} +(-1.02349 + 0.492886i) q^{76} +(-0.263372 - 1.15391i) q^{77} +(-0.310702 - 0.149626i) q^{78} +(-1.71291 - 0.824892i) q^{79} +(-0.973248 + 4.26408i) q^{80} +(-6.68400 - 8.38148i) q^{81} +(-1.81278 + 2.27315i) q^{82} +(-2.18230 - 9.56128i) q^{83} +(0.0730419 - 0.320017i) q^{84} +(2.08469 - 2.61412i) q^{85} +1.25438 q^{86} +(6.25724 + 10.6044i) q^{87} +4.57915 q^{88} +(-9.32588 + 11.6943i) q^{89} +(0.736730 - 3.22782i) q^{90} +(0.0155398 + 0.0680841i) q^{91} +(-0.809511 + 1.01510i) q^{92} +(3.23917 + 4.06179i) q^{93} +(-2.39037 + 10.4729i) q^{94} +(4.90571 + 2.36247i) q^{95} +(2.42163 + 1.16620i) q^{96} +(3.67064 + 16.0821i) q^{97} +(8.73880 - 4.20838i) q^{98} -3.83190 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 2 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{7} + 9 q^{8}+O(q^{10}) $ 24 * q - 2 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^7 + 9 * q^8	\( 24 q - 2 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{7} + 9 q^{8} - 5 q^{10} + 12 q^{11} + 2 q^{12} + 4 q^{13} - 32 q^{14} - 2 q^{15} + 10 q^{16} - 40 q^{17} + 10 q^{18} + 2 q^{19} - 3 q^{20} - 35 q^{21} + 13 q^{22} + 12 q^{23} - 22 q^{24} - 4 q^{25} - 8 q^{26} - 13 q^{27} + 20 q^{28} + 5 q^{29} + 18 q^{30} - 7 q^{31} + 22 q^{32} - 12 q^{33} + 12 q^{34} - 4 q^{35} - 16 q^{36} - 14 q^{37} + 14 q^{38} - 9 q^{39} - 9 q^{40} + 8 q^{41} + 19 q^{42} - 47 q^{43} + 17 q^{44} - 48 q^{46} + 22 q^{47} + 31 q^{48} - 10 q^{49} - 2 q^{50} + 34 q^{51} + 13 q^{52} - 53 q^{53} + 23 q^{54} + 16 q^{55} + 10 q^{56} + 20 q^{57} + 10 q^{58} - 38 q^{59} - 23 q^{60} - 19 q^{62} + 11 q^{63} + 37 q^{64} + 3 q^{65} + 2 q^{66} + 43 q^{67} - 50 q^{68} + 48 q^{69} - 10 q^{70} - 61 q^{71} - 37 q^{72} + 24 q^{73} + 109 q^{74} + 2 q^{75} + 24 q^{76} + 41 q^{77} - 42 q^{78} + 2 q^{79} + 4 q^{80} - 15 q^{81} - 40 q^{82} + 37 q^{83} - 6 q^{84} - 2 q^{85} - 18 q^{86} + 9 q^{87} - 20 q^{88} + 16 q^{89} + 18 q^{90} - q^{91} + 29 q^{92} - 26 q^{93} - 54 q^{94} - 2 q^{95} + 15 q^{96} - 57 q^{97} - 26 q^{98} + 88 q^{99}+O(q^{100}) \) 24 * q - 2 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^7 + 9 * q^8 - 5 * q^10 + 12 * q^11 + 2 * q^12 + 4 * q^13 - 32 * q^14 - 2 * q^15 + 10 * q^16 - 40 * q^17 + 10 * q^18 + 2 * q^19 - 3 * q^20 - 35 * q^21 + 13 * q^22 + 12 * q^23 - 22 * q^24 - 4 * q^25 - 8 * q^26 - 13 * q^27 + 20 * q^28 + 5 * q^29 + 18 * q^30 - 7 * q^31 + 22 * q^32 - 12 * q^33 + 12 * q^34 - 4 * q^35 - 16 * q^36 - 14 * q^37 + 14 * q^38 - 9 * q^39 - 9 * q^40 + 8 * q^41 + 19 * q^42 - 47 * q^43 + 17 * q^44 - 48 * q^46 + 22 * q^47 + 31 * q^48 - 10 * q^49 - 2 * q^50 + 34 * q^51 + 13 * q^52 - 53 * q^53 + 23 * q^54 + 16 * q^55 + 10 * q^56 + 20 * q^57 + 10 * q^58 - 38 * q^59 - 23 * q^60 - 19 * q^62 + 11 * q^63 + 37 * q^64 + 3 * q^65 + 2 * q^66 + 43 * q^67 - 50 * q^68 + 48 * q^69 - 10 * q^70 - 61 * q^71 - 37 * q^72 + 24 * q^73 + 109 * q^74 + 2 * q^75 + 24 * q^76 + 41 * q^77 - 42 * q^78 + 2 * q^79 + 4 * q^80 - 15 * q^81 - 40 * q^82 + 37 * q^83 - 6 * q^84 - 2 * q^85 - 18 * q^86 + 9 * q^87 - 20 * q^88 + 16 * q^89 + 18 * q^90 - q^91 + 29 * q^92 - 26 * q^93 - 54 * q^94 - 2 * q^95 + 15 * q^96 - 57 * q^97 - 26 * q^98 + 88 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/145\mathbb{Z}\right)^\times$.

$n$	$31$	$117$
$\chi(n)$	$e\left(\frac{5}{7}\right)$	$1$

Coefficient data

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

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

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

$2$	0.926597	−	1.16192i	0.655203	−	0.821599i	−0.337608	−	0.941287i	$-0.609618\pi$
$2$	0.926597	−	1.16192i	0.655203	−	0.821599i	0.992812	+	0.119688i	$0.0381894\pi$
$3$	−0.508780	+	2.22911i	−0.293744	+	1.28698i	0.585525	+	0.810654i	$0.300888\pi$
$3$	−0.508780	+	2.22911i	−0.293744	+	1.28698i	−0.879270	+	0.476324i	$0.841969\pi$
$4$	−0.0464250	−	0.203401i	−0.0232125	−	0.101701i
$5$	−0.623490	+	0.781831i	−0.278833	+	0.349646i
$5$	−0.623490	+	0.781831i	−0.278833	+	0.349646i
$6$	2.11861	+	2.65665i	0.864918	+	1.08457i
$7$	0.153120	−	0.670862i	0.0578739	−	0.253562i	−0.937712	−	0.347412i	$-0.887060\pi$
$7$	0.153120	−	0.670862i	0.0578739	−	0.253562i	0.995586	+	0.0938504i	$0.0299175\pi$
$8$	2.39859	+	1.15510i	0.848030	+	0.408390i
$9$	−2.00718	−	0.966605i	−0.669059	−	0.322202i
$10$	0.330699	+	1.44889i	0.104576	+	0.458178i
$11$	1.54970	−	0.746297i	0.467252	−	0.225017i	−0.185417	−	0.982660i	$-0.559363\pi$
$11$	1.54970	−	0.746297i	0.467252	−	0.225017i	0.652669	+	0.757643i	$0.273649\pi$
$12$	0.477024			0.137705
$13$	−0.0914371	+	0.0440338i	−0.0253601	+	0.0122128i	−0.446521	−	0.894773i	$-0.647337\pi$
$13$	−0.0914371	+	0.0440338i	−0.0253601	+	0.0122128i	0.421161	+	0.906986i	$0.361623\pi$
$14$	−0.637605	−	0.799532i	−0.170407	−	0.213684i
$15$	−1.42557	−	1.78761i	−0.368081	−	0.461559i
$16$	3.94060	−	1.89769i	0.985150	−	0.474423i
$17$	−3.34358			−0.810937			−0.405469	−	0.914109i	$-0.632892\pi$
$17$	−3.34358			−0.810937			−0.405469	+	0.914109i	$0.632892\pi$
$18$	−2.98296	+	1.43652i	−0.703090	+	0.338590i
$19$	−1.21161	−	5.30842i	−0.277963	−	1.21783i	−0.900365	−	0.435136i	$-0.856700\pi$
$19$	−1.21161	−	5.30842i	−0.277963	−	1.21783i	0.622402	−	0.782698i	$-0.286157\pi$
$20$	0.187971	+	0.0905220i	0.0420316	+	0.0202413i
$21$	1.41752	+	0.682643i	0.309329	+	0.148965i
$22$	0.568814	−	2.49214i	0.121272	−	0.531326i
$23$	−3.88009	−	4.86548i	−0.809055	−	1.01452i	−0.999461	−	0.0328177i	$-0.989552\pi$
$23$	−3.88009	−	4.86548i	−0.809055	−	1.01452i	0.190406	−	0.981705i	$-0.439020\pi$
$24$	−3.79520	+	4.75904i	−0.774693	+	0.971434i
$25$	−0.222521	−	0.974928i	−0.0445042	−	0.194986i
$26$	−0.0335618	+	0.147044i	−0.00658201	+	0.0288377i
$27$	−1.10083	+	1.38040i	−0.211855	+	0.265657i
$28$	−0.143563			−0.0271308
$29$	3.91270	−	3.70010i	0.726570	−	0.687092i
$29$	3.91270	−	3.70010i	0.726570	−	0.687092i
$30$	−3.39798			−0.620384
$31$	1.41669	−	1.77647i	0.254445	−	0.319063i	−0.638160	−	0.769904i	$-0.720304\pi$
$31$	1.41669	−	1.77647i	0.254445	−	0.319063i	0.892605	+	0.450840i	$0.148876\pi$
$32$	0.261583	−	1.14607i	0.0462418	−	0.202598i
$33$	0.875121	+	3.83416i	0.152339	+	0.667441i
$34$	−3.09815	+	3.88496i	−0.531329	+	0.666265i
$35$	0.429033	+	0.537990i	0.0725197	+	0.0909369i
$36$	−0.103425	+	0.453136i	−0.0172376	+	0.0755227i
$37$	9.86181	+	4.74920i	1.62127	+	0.780763i	0.999996	−	0.00282877i	$-0.000900425\pi$
$37$	9.86181	+	4.74920i	1.62127	+	0.780763i	0.621276	+	0.783592i	$0.286615\pi$
$38$	−7.29061	−	3.51097i	−1.18269	−	0.569555i
$39$	−0.0516348	−	0.226227i	−0.00826819	−	0.0362253i
$40$	−2.39859	+	1.15510i	−0.379251	+	0.182637i
$41$	−1.95638			−0.305536			−0.152768	−	0.988262i	$-0.548819\pi$
$41$	−1.95638			−0.305536			−0.152768	+	0.988262i	$0.548819\pi$
$42$	2.10665	−	1.01451i	0.325063	−	0.156542i
$43$	0.526255	+	0.659903i	0.0802531	+	0.100634i	0.820337	−	0.571880i	$-0.193786\pi$
$43$	0.526255	+	0.659903i	0.0802531	+	0.100634i	−0.740084	+	0.672514i	$0.765214\pi$
$44$	−0.223742	−	0.280564i	−0.0337304	−	0.0422966i
$45$	2.00718	−	0.966605i	0.299212	−	0.144093i
$46$	−9.24857			−1.36363
$47$	−6.51242	+	3.13622i	−0.949934	+	0.457464i	−0.843663	−	0.536873i	$-0.819605\pi$
$47$	−6.51242	+	3.13622i	−0.949934	+	0.457464i	−0.106271	+	0.994337i	$0.533891\pi$
$48$	2.22527	+	9.74955i	0.321190	+	1.40723i
$49$	5.88017	+	2.83174i	0.840025	+	0.404534i
$50$	−1.33897	−	0.644815i	−0.189359	−	0.0911906i
$51$	1.70115	−	7.45321i	0.238208	−	1.04366i
$52$	0.0132015	+	0.0165541i	0.00183072	+	0.00229565i
$53$	−6.83861	+	8.57535i	−0.939355	+	1.17791i	0.0445108	+	0.999009i	$0.485827\pi$
$53$	−6.83861	+	8.57535i	−0.939355	+	1.17791i	−0.983866	+	0.178906i	$0.942744\pi$
$54$	0.583880	+	2.55814i	0.0794559	+	0.348119i
$55$	−0.382744	+	1.67691i	−0.0516093	+	0.226115i
$56$	1.14219	−	1.43226i	0.152631	−	0.191393i
$57$	12.4495			1.64898
$58$	−0.673711	−	7.97474i	−0.0884626	−	1.04713i
$59$	−3.73907			−0.486785			−0.243392	−	0.969928i	$-0.578260\pi$
$59$	−3.73907			−0.486785			−0.243392	+	0.969928i	$0.578260\pi$
$60$	−0.297420	+	0.372952i	−0.0383967	+	0.0481479i
$61$	2.34741	−	10.2847i	0.300555	−	1.31682i	−0.568738	−	0.822519i	$-0.692568\pi$
$61$	2.34741	−	10.2847i	0.300555	−	1.31682i	0.869293	−	0.494298i	$-0.164575\pi$
$62$	−0.751410	−	3.29214i	−0.0954292	−	0.418103i
$63$	−0.955797	+	1.19853i	−0.120419	+	0.151001i
$64$	4.36471	+	5.47317i	0.545588	+	0.684146i
$65$	0.0225831	−	0.0989430i	0.00280109	−	0.0122724i
$66$	5.26585	+	2.53590i	0.648182	+	0.312148i
$67$	−2.22030	−	1.06924i	−0.271253	−	0.130629i	0.293313	−	0.956016i	$-0.405242\pi$
$67$	−2.22030	−	1.06924i	−0.271253	−	0.130629i	−0.564566	+	0.825388i	$0.690956\pi$
$68$	0.155226	+	0.680088i	0.0188239	+	0.0824728i
$69$	12.8198	−	6.17370i	1.54332	−	0.743226i
$70$	1.02264			0.122229
$71$	0.106536	−	0.0513050i	0.0126435	−	0.00608878i	−0.427551	−	0.903991i	$-0.640624\pi$
$71$	0.106536	−	0.0513050i	0.0126435	−	0.00608878i	0.440195	+	0.897902i	$0.354909\pi$
$72$	−3.69787	−	4.63698i	−0.435798	−	0.546473i
$73$	−2.25138	−	2.82314i	−0.263504	−	0.330424i	0.632424	−	0.774622i	$-0.282060\pi$
$73$	−2.25138	−	2.82314i	−0.263504	−	0.330424i	−0.895928	+	0.444198i	$0.853488\pi$
$74$	14.6561	−	7.05800i	1.70374	−	0.820476i
$75$	2.28644			0.264015
$76$	−1.02349	+	0.492886i	−0.117402	+	0.0565379i
$77$	−0.263372	−	1.15391i	−0.0300140	−	0.131500i
$78$	−0.310702	−	0.149626i	−0.0351800	−	0.0169418i
$79$	−1.71291	−	0.824892i	−0.192717	−	0.0928077i	0.335037	−	0.942205i	$-0.391251\pi$
$79$	−1.71291	−	0.824892i	−0.192717	−	0.0928077i	−0.527754	+	0.849397i	$0.676966\pi$
$80$	−0.973248	+	4.26408i	−0.108812	+	0.476738i
$81$	−6.68400	−	8.38148i	−0.742667	−	0.931275i
$82$	−1.81278	+	2.27315i	−0.200188	+	0.251028i
$83$	−2.18230	−	9.56128i	−0.239538	−	1.04949i	−0.941432	−	0.337204i	$-0.890519\pi$
$83$	−2.18230	−	9.56128i	−0.239538	−	1.04949i	0.701893	−	0.712282i	$-0.252338\pi$
$84$	0.0730419	−	0.320017i	0.00796952	−	0.0349168i
$85$	2.08469	−	2.61412i	0.226116	−	0.283541i
$86$	1.25438			0.135263
$87$	6.25724	+	10.6044i	0.670846	+	1.13691i
$88$	4.57915			0.488139
$89$	−9.32588	+	11.6943i	−0.988541	+	1.23959i	−0.0177057	+	0.999843i	$0.505636\pi$
$89$	−9.32588	+	11.6943i	−0.988541	+	1.23959i	−0.970835	+	0.239748i	$0.922935\pi$
$90$	0.736730	−	3.22782i	0.0776581	−	0.340243i
$91$	0.0155398	+	0.0680841i	0.00162901	+	0.00713716i
$92$	−0.809511	+	1.01510i	−0.0843974	+	0.105831i
$93$	3.23917	+	4.06179i	0.335886	+	0.421188i
$94$	−2.39037	+	10.4729i	−0.246548	+	1.08020i
$95$	4.90571	+	2.36247i	0.503316	+	0.242384i
$96$	2.42163	+	1.16620i	0.247156	+	0.119024i
$97$	3.67064	+	16.0821i	0.372697	+	1.63289i	0.719172	+	0.694832i	$0.244521\pi$
$97$	3.67064	+	16.0821i	0.372697	+	1.63289i	−0.346475	+	0.938059i	$0.612622\pi$
$98$	8.73880	−	4.20838i	0.882752	−	0.425111i
$99$	−3.83190			−0.385120
$100$	−0.187971	+	0.0905220i	−0.0187971	+	0.00905220i
$101$	4.44745	+	5.57692i	0.442538	+	0.554924i	0.952210	−	0.305444i	$-0.0988049\pi$
$101$	4.44745	+	5.57692i	0.442538	+	0.554924i	−0.509673	+	0.860368i	$0.670233\pi$
$102$	−7.08373	−	8.88272i	−0.701394	−	0.879520i
$103$	−9.37544	+	4.51497i	−0.923789	+	0.444873i	−0.834423	−	0.551125i	$-0.814199\pi$
$103$	−9.37544	+	4.51497i	−0.923789	+	0.444873i	−0.0893668	+	0.995999i	$0.528484\pi$
$104$	−0.270184			−0.0264937
$105$	−1.41752	+	0.682643i	−0.138336	+	0.0666191i
$106$	3.62720	+	15.8918i	0.352304	+	1.54355i
$107$	−14.3061	−	6.88945i	−1.38302	−	0.666028i	−0.413380	−	0.910559i	$-0.635652\pi$
$107$	−14.3061	−	6.88945i	−1.38302	−	0.666028i	−0.969642	+	0.244531i	$0.921366\pi$
$108$	0.331880	+	0.159825i	0.0319352	+	0.0153792i
$109$	−1.99197	+	8.72738i	−0.190796	+	0.835931i	0.785391	+	0.619000i	$0.212462\pi$
$109$	−1.99197	+	8.72738i	−0.190796	+	0.835931i	−0.976187	+	0.216931i	$0.930395\pi$
$110$	1.59378	+	1.99854i	0.151961	+	0.190553i
$111$	−15.6040	+	19.5668i	−1.48106	+	1.85720i
$112$	−0.669706	−	2.93418i	−0.0632813	−	0.277253i
$113$	2.99892	−	13.1391i	0.282114	−	1.23602i	−0.612962	−	0.790112i	$-0.710022\pi$
$113$	2.99892	−	13.1391i	0.282114	−	1.23602i	0.895077	−	0.445912i	$-0.147121\pi$
$114$	11.5357	−	14.4653i	1.08041	−	1.35480i
$115$	6.22319			0.580315
$116$	−0.934252	−	0.624071i	−0.0867432	−	0.0579435i
$117$	0.226094			0.0209024
$118$	−3.46461	+	4.34448i	−0.318943	+	0.399942i
$119$	−0.511969	+	2.24308i	−0.0469321	+	0.205623i
$120$	−1.35449	−	5.93442i	−0.123648	−	0.541736i
$121$	−5.01377	+	6.28707i	−0.455798	+	0.571552i
$122$	−9.77482	−	12.2572i	−0.884970	−	1.10972i
$123$	0.995369	−	4.36100i	0.0897494	−	0.393218i
$124$	−0.427106	−	0.205683i	−0.0383552	−	0.0184709i
$125$	0.900969	+	0.433884i	0.0805851	+	0.0388077i
$126$	0.506955	+	2.22111i	0.0451631	+	0.197873i
$127$	7.85277	−	3.78169i	0.696820	−	0.335571i	−0.0517188	−	0.998662i	$-0.516470\pi$
$127$	7.85277	−	3.78169i	0.696820	−	0.335571i	0.748539	+	0.663091i	$0.230756\pi$
$128$	12.7548			1.12737
$129$	−1.73875	+	0.837336i	−0.153088	+	0.0737233i
$130$	−0.0940380	−	0.117920i	−0.00824768	−	0.0103423i
$131$	8.57821	+	10.7567i	0.749482	+	0.939821i	0.999597	−	0.0283956i	$-0.00903983\pi$
$131$	8.57821	+	10.7567i	0.749482	+	0.939821i	−0.250115	+	0.968216i	$0.580468\pi$
$132$	0.739244	−	0.356001i	0.0643430	−	0.0309859i
$133$	−3.74674			−0.324883
$134$	−3.29969	+	1.58905i	−0.285050	+	0.137273i
$135$	−0.392882	−	1.72133i	−0.0338139	−	0.148148i
$136$	−8.01988	−	3.86217i	−0.687699	−	0.331178i
$137$	−10.2861	−	4.95353i	−0.878802	−	0.423209i	−0.0606153	−	0.998161i	$-0.519306\pi$
$137$	−10.2861	−	4.95353i	−0.878802	−	0.423209i	−0.818187	+	0.574952i	$0.805021\pi$
$138$	4.70549	−	20.6161i	0.400558	−	1.75496i
$139$	−9.62143	−	12.0649i	−0.816079	−	1.02333i	−0.999190	−	0.0402389i	$-0.987188\pi$
$139$	−9.62143	−	12.0649i	−0.816079	−	1.02333i	0.183111	−	0.983092i	$-0.441383\pi$
$140$	0.0895099	−	0.112242i	0.00756497	−	0.00948617i
$141$	−3.67759	−	16.1126i	−0.309709	−	1.35692i
$142$	0.0391038	−	0.171325i	0.00328152	−	0.0143773i
$143$	−0.108838	+	0.136478i	−0.00910148	+	0.0114129i
$144$	−9.74380			−0.811983
$145$	0.453328	+	5.36605i	0.0376468	+	0.445626i
$146$	−5.36638			−0.444124
$147$	−9.30398	+	11.6668i	−0.767380	+	0.962264i
$148$	0.508158	−	2.22638i	0.0417703	−	0.183008i
$149$	−3.59479	−	15.7498i	−0.294497	−	1.29027i	−0.878194	−	0.478304i	$-0.841252\pi$
$149$	−3.59479	−	15.7498i	−0.294497	−	1.29027i	0.583698	−	0.811971i	$-0.301605\pi$
$150$	2.11861	−	2.65665i	0.172984	−	0.216914i
$151$	1.23058	+	1.54309i	0.100143	+	0.125575i	0.829378	−	0.558688i	$-0.188695\pi$
$151$	1.23058	+	1.54309i	0.100143	+	0.125575i	−0.729235	+	0.684264i	$0.760124\pi$
$152$	3.22559	−	14.1323i	0.261630	−	1.14628i
$153$	6.71115	+	3.23192i	0.542564	+	0.261285i
$154$	−1.58479	−	0.763192i	−0.127706	−	0.0614998i
$155$	0.505610	+	2.21522i	0.0406116	+	0.177931i
$156$	−0.0436177	+	0.0210052i	−0.00349221	+	0.00168176i
$157$	20.8647			1.66519			0.832593	−	0.553886i	$-0.186856\pi$
$157$	20.8647			1.66519			0.832593	+	0.553886i	$0.186856\pi$
$158$	−2.54563	+	1.22591i	−0.202520	+	0.0975283i
$159$	−15.6361	−	19.6070i	−1.24002	−	1.55494i
$160$	0.732939	+	0.919076i	0.0579439	+	0.0726594i
$161$	−3.85819	+	1.85801i	−0.304068	+	0.146431i
$162$	−15.9320			−1.25173
$163$	9.19991	−	4.43044i	0.720592	−	0.347019i	−0.0373841	−	0.999301i	$-0.511902\pi$
$163$	9.19991	−	4.43044i	0.720592	−	0.347019i	0.757976	+	0.652282i	$0.226188\pi$
$164$	0.0908250	+	0.397931i	0.00709224	+	0.0310732i
$165$	−3.54329	−	1.70636i	−0.275845	−	0.132840i
$166$	−13.1315	−	6.32380i	−1.01920	−	0.490822i
$167$	−3.43155	+	15.0346i	−0.265541	+	1.16341i	0.649599	+	0.760277i	$0.274937\pi$
$167$	−3.43155	+	15.0346i	−0.265541	+	1.16341i	−0.915140	+	0.403135i	$0.867920\pi$
$168$	2.61154	+	3.27476i	0.201484	+	0.252653i
$169$	−8.09895	+	10.1558i	−0.622996	+	0.781212i
$170$	−1.10572	−	4.84446i	−0.0848047	−	0.371553i
$171$	−2.69922	+	11.8261i	−0.206415	+	0.904363i
$172$	0.109794	−	0.137677i	0.00837169	−	0.0104978i
$173$	13.2448			1.00698			0.503491	−	0.864000i	$-0.332049\pi$
$173$	13.2448			1.00698			0.503491	+	0.864000i	$0.332049\pi$
$174$	18.1194	+	2.55561i	1.37362	+	0.193740i
$175$	−0.688115			−0.0520166
$176$	4.69051	−	5.88171i	0.353560	−	0.443351i
$177$	1.90236	−	8.33480i	0.142990	−	0.626482i
$178$	4.94644	+	21.6718i	0.370751	+	1.62437i
$179$	−10.8313	+	13.5821i	−0.809573	+	1.01517i	0.189870	+	0.981809i	$0.439193\pi$
$179$	−10.8313	+	13.5821i	−0.809573	+	1.01517i	−0.999443	+	0.0333632i	$0.989378\pi$
$180$	−0.289792	−	0.363387i	−0.0215998	−	0.0270853i
$181$	2.46056	−	10.7804i	0.182892	−	0.801301i	−0.797353	−	0.603513i	$-0.793767\pi$
$181$	2.46056	−	10.7804i	0.182892	−	0.801301i	0.980245	−	0.197788i	$-0.0633757\pi$
$182$	0.0935072	+	0.0450307i	0.00693121	+	0.00333790i
$183$	21.7314	+	10.4653i	1.60643	+	0.773615i
$184$	−3.68663	−	16.1522i	−0.271782	−	1.19076i
$185$	−9.86181	+	4.74920i	−0.725055	+	0.349168i
$186$	7.72086			0.566121
$187$	−5.18155	+	2.49530i	−0.378912	+	0.182475i
$188$	0.940249	+	1.17903i	0.0685747	+	0.0859899i
$189$	0.757497	+	0.949871i	0.0550998	+	0.0690930i
$190$	7.29061	−	3.51097i	0.528917	−	0.254713i
$191$	16.1845			1.17107			0.585535	−	0.810647i	$-0.300885\pi$
$191$	16.1845			1.17107			0.585535	+	0.810647i	$0.300885\pi$
$192$	−14.4210	+	6.94478i	−1.04074	+	0.501196i
$193$	−0.593709	−	2.60121i	−0.0427361	−	0.187239i	0.949054	−	0.315112i	$-0.102042\pi$
$193$	−0.593709	−	2.60121i	−0.0427361	−	0.187239i	−0.991791	+	0.127873i	$0.959185\pi$
$194$	22.0873	+	10.6367i	1.58577	+	0.763668i
$195$	0.209065	+	0.100680i	0.0149715	+	0.00720988i
$196$	0.302993	−	1.32750i	0.0216423	−	0.0948212i
$197$	7.38616	+	9.26195i	0.526242	+	0.659887i	0.971921	−	0.235306i	$-0.0756092\pi$
$197$	7.38616	+	9.26195i	0.526242	+	0.659887i	−0.445679	+	0.895193i	$0.647038\pi$
$198$	−3.55062	+	4.45234i	−0.252332	+	0.316414i
$199$	4.42991	+	19.4087i	0.314028	+	1.37585i	0.847844	+	0.530245i	$0.177900\pi$
$199$	4.42991	+	19.4087i	0.314028	+	1.37585i	−0.533816	+	0.845600i	$0.679243\pi$
$200$	0.592403	−	2.59549i	0.0418892	−	0.183529i
$201$	3.51310	−	4.40529i	0.247795	−	0.310725i
$202$	10.6009			0.745877
$203$	−1.88315	−	3.19144i	−0.132171	−	0.223995i
$204$	−1.59497			−0.111670
$205$	1.21978	−	1.52956i	0.0851935	−	0.106829i
$206$	−3.44123	+	15.0770i	−0.239762	+	1.05047i
$207$	3.08503	+	13.5164i	0.214424	+	0.939454i
$208$	−0.276754	+	0.347039i	−0.0191895	+	0.0240628i
$209$	−5.83929	−	7.32223i	−0.403912	−	0.506490i
$210$	−0.520299	+	2.27958i	−0.0359040	+	0.157306i
$211$	−11.9284	−	5.74440i	−0.821182	−	0.395461i	−0.0243817	−	0.999703i	$-0.507762\pi$
$211$	−11.9284	−	5.74440i	−0.821182	−	0.395461i	−0.796801	+	0.604242i	$0.793476\pi$
$212$	2.06172	+	0.992871i	0.141599	+	0.0681907i
$213$	0.0601612	+	0.263583i	0.00412218	+	0.0180604i
$214$	−21.2609	+	10.2387i	−1.45337	+	0.699905i
$215$	−0.844048			−0.0575636
$216$	−4.23494	+	2.03944i	−0.288151	+	0.138766i
$217$	−0.974843	−	1.22242i	−0.0661767	−	0.0829829i
$218$	8.29473	+	10.4013i	0.561790	+	0.704463i
$219$	7.43855	−	3.58222i	0.502651	−	0.242064i
$220$	0.358855			0.0241940
$221$	0.305727	−	0.147230i	0.0205654	−	0.00990379i
$222$	8.27635	+	36.2611i	0.555472	+	2.43368i
$223$	−12.3180	−	5.93203i	−0.824873	−	0.397238i	−0.0266833	−	0.999644i	$-0.508495\pi$
$223$	−12.3180	−	5.93203i	−0.824873	−	0.397238i	−0.798190	+	0.602406i	$0.794209\pi$
$224$	−0.728801	−	0.350972i	−0.0486951	−	0.0234503i
$225$	−0.495732	+	2.17194i	−0.0330488	+	0.144796i
$226$	−12.4878	−	15.6592i	−0.830674	−	1.04163i
$227$	15.2366	−	19.1060i	1.01129	−	1.26811i	0.0482221	−	0.998837i	$-0.484644\pi$
$227$	15.2366	−	19.1060i	1.01129	−	1.26811i	0.963063	−	0.269275i	$-0.0867841\pi$
$228$	−0.577968	−	2.53224i	−0.0382768	−	0.167702i
$229$	3.98304	−	17.4508i	0.263207	−	1.15318i	−0.654543	−	0.756025i	$-0.727139\pi$
$229$	3.98304	−	17.4508i	0.263207	−	1.15318i	0.917750	−	0.397159i	$-0.130004\pi$
$230$	5.76639	−	7.23082i	0.380224	−	0.476786i
$231$	2.70619			0.178054
$232$	13.6590	−	4.35547i	0.896755	−	0.285951i
$233$	2.24418			0.147021			0.0735105	−	0.997294i	$-0.476580\pi$
$233$	2.24418			0.147021			0.0735105	+	0.997294i	$0.476580\pi$
$234$	0.209498	−	0.262702i	0.0136953	−	0.0171734i
$235$	1.60843	−	7.04701i	0.104923	−	0.459696i
$236$	0.173586	+	0.760530i	0.0112995	+	0.0495063i
$237$	2.71027	−	3.39857i	0.176051	−	0.220761i
$238$	2.13188	+	2.67330i	0.138190	+	0.173284i
$239$	−4.38278	+	19.2022i	−0.283498	+	1.24209i	0.609776	+	0.792574i	$0.291260\pi$
$239$	−4.38278	+	19.2022i	−0.283498	+	1.24209i	−0.893274	+	0.449513i	$0.851598\pi$
$240$	−9.00994	−	4.33896i	−0.581589	−	0.280078i
$241$	15.8989	+	7.65651i	1.02414	+	0.493199i	0.869062	−	0.494704i	$-0.164723\pi$
$241$	15.8989	+	7.65651i	1.02414	+	0.493199i	0.155076	+	0.987902i	$0.450438\pi$
$242$	2.65930	+	11.6512i	0.170947	+	0.748966i
$243$	17.3117	−	8.33688i	1.11055	−	0.534811i
$244$	−2.20089			−0.140898
$245$	−5.88017	+	2.83174i	−0.375670	+	0.180913i
$246$	−4.14481	−	5.19742i	−0.264263	−	0.331376i
$247$	0.344536	+	0.432034i	0.0219223	+	0.0274897i
$248$	5.45006	−	2.62461i	0.346079	−	0.166663i
$249$	22.4235			1.42103
$250$	1.33897	−	0.644815i	0.0846840	−	0.0407817i
$251$	0.376002	+	1.64737i	0.0237330	+	0.103981i	0.985407	−	0.170214i	$-0.0544458\pi$
$251$	0.376002	+	1.64737i	0.0237330	+	0.103981i	−0.961674	+	0.274195i	$0.911589\pi$
$252$	0.288156	+	0.138768i	0.0181521	+	0.00874159i
$253$	−9.64407	−	4.64434i	−0.606318	−	0.291987i
$254$	2.88234	−	12.6284i	0.180854	−	0.792374i
$255$	4.76651	+	5.97701i	0.298490	+	0.374295i
$256$	3.08913	−	3.87364i	0.193070	−	0.242103i
$257$	−1.85683	−	8.13530i	−0.115826	−	0.507466i	−0.999244	−	0.0388802i	$-0.987621\pi$
$257$	−1.85683	−	8.13530i	−0.115826	−	0.507466i	0.883418	−	0.468586i	$-0.155236\pi$
$258$	−0.638203	+	2.79615i	−0.0397328	+	0.174081i
$259$	4.69610	−	5.88872i	0.291801	−	0.365907i
$260$	−0.0211735			−0.00131313
$261$	−11.4300	+	3.64472i	−0.707500	+	0.225603i
$262$	20.4470			1.26322
$263$	13.2948	−	16.6711i	0.819792	−	1.02799i	−0.179232	−	0.983807i	$-0.557361\pi$
$263$	13.2948	−	16.6711i	0.819792	−	1.02799i	0.999024	−	0.0441794i	$-0.0140673\pi$
$264$	−2.32978	+	10.2074i	−0.143388	+	0.628224i
$265$	−2.44067	−	10.6933i	−0.149929	−	0.656883i
$266$	−3.47172	+	4.35340i	−0.212865	+	0.266924i
$267$	−21.3230	−	26.7382i	−1.30495	−	1.63635i
$268$	−0.114407	+	0.501251i	−0.00698854	+	0.0306188i
$269$	13.5995	+	6.54919i	0.829178	+	0.399311i	0.799807	−	0.600257i	$-0.204935\pi$
$269$	13.5995	+	6.54919i	0.829178	+	0.399311i	0.0293714	+	0.999569i	$0.490649\pi$
$270$	−2.36408	−	1.13848i	−0.143873	−	0.0692857i
$271$	0.797772	+	3.49527i	0.0484612	+	0.212322i	0.993361	−	0.115037i	$-0.0366985\pi$
$271$	0.797772	+	3.49527i	0.0484612	+	0.212322i	−0.944900	+	0.327359i	$0.893841\pi$
$272$	−13.1757	+	6.34509i	−0.798895	+	0.384727i
$273$	−0.159673			−0.00966388
$274$	−15.2867	+	7.36168i	−0.923502	+	0.444735i
$275$	−1.07243	−	1.34478i	−0.0646697	−	0.0810933i
$276$	−1.85090	−	2.32095i	−0.111411	−	0.139705i
$277$	2.87847	−	1.38620i	0.172950	−	0.0832885i	−0.345405	−	0.938454i	$-0.612259\pi$
$277$	2.87847	−	1.38620i	0.172950	−	0.0832885i	0.518356	+	0.855165i	$0.326544\pi$
$278$	−22.9336			−1.37547
$279$	−4.56069	+	2.19631i	−0.273041	+	0.131490i
$280$	0.407641	+	1.78599i	0.0243612	+	0.106734i
$281$	−17.4025	−	8.38062i	−1.03815	−	0.499946i	−0.164436	−	0.986388i	$-0.552580\pi$
$281$	−17.4025	−	8.38062i	−1.03815	−	0.499946i	−0.873713	+	0.486442i	$0.838295\pi$
$282$	−22.1291	−	10.6568i	−1.31777	−	0.634603i
$283$	5.21384	−	22.8433i	0.309931	−	1.35790i	−0.544688	−	0.838639i	$-0.683352\pi$
$283$	5.21384	−	22.8433i	0.309931	−	1.35790i	0.854618	−	0.519257i	$-0.173791\pi$
$284$	−0.0153814	−	0.0192877i	−0.000912719	−	0.00114451i
$285$	−7.76213	+	9.73341i	−0.459789	+	0.576557i
$286$	0.0577276	+	0.252921i	0.00341350	+	0.0149555i
$287$	−0.299561	+	1.31246i	−0.0176825	+	0.0774723i
$288$	−1.63284	+	2.04752i	−0.0962160	+	0.120651i
$289$	−5.82048			−0.342381
$290$	6.65495	+	4.44544i	0.390792	+	0.261045i
$291$	−37.7164			−2.21097
$292$	−0.469710	+	0.588997i	−0.0274877	+	0.0344685i
$293$	−6.96033	+	30.4952i	−0.406627	+	1.78155i	0.192927	+	0.981213i	$0.438202\pi$
$293$	−6.96033	+	30.4952i	−0.406627	+	1.78155i	−0.599554	+	0.800335i	$0.704655\pi$
$294$	4.93483	+	21.6209i	0.287805	+	1.26096i
$295$	2.33127	−	2.92332i	0.135732	−	0.170202i
$296$	18.1687	+	22.7828i	1.05603	+	1.32422i
$297$	−0.675771	+	2.96075i	−0.0392122	+	0.171800i
$298$	−21.6309	−	10.4169i	−1.25304	−	0.603434i
$299$	0.569030	+	0.274030i	0.0329078	+	0.0158476i
$300$	−0.106148	−	0.465064i	−0.00612845	−	0.0268505i
$301$	0.523284	−	0.252000i	0.0301616	−	0.0145251i
$302$	2.93319			0.168786
$303$	−14.6944	+	7.07643i	−0.844169	+	0.406530i
$304$	−14.8482	−	18.6191i	−0.851604	−	1.06788i
$305$	6.57729	+	8.24766i	0.376615	+	0.472260i
$306$	9.97376	−	4.80311i	0.570162	−	0.274575i
$307$	8.17650			0.466657			0.233329	−	0.972398i	$-0.425038\pi$
$307$	8.17650			0.466657			0.233329	+	0.972398i	$0.425038\pi$
$308$	−0.222479	+	0.107140i	−0.0126769	+	0.00610489i
$309$	−5.29434	−	23.1960i	−0.301185	−	1.31958i
$310$	3.04240	+	1.46514i	0.172797	+	0.0832145i
$311$	25.1803	+	12.1262i	1.42784	+	0.687613i	0.978595	−	0.205794i	$-0.0659777\pi$
$311$	25.1803	+	12.1262i	1.42784	+	0.687613i	0.449248	+	0.893407i	$0.351692\pi$
$312$	0.137464	−	0.602270i	0.00778237	−	0.0340968i
$313$	−10.5682	−	13.2520i	−0.597347	−	0.749050i	0.387614	−	0.921822i	$-0.373299\pi$
$313$	−10.5682	−	13.2520i	−0.597347	−	0.749050i	−0.984962	+	0.172772i	$0.944728\pi$
$314$	19.3332	−	24.2431i	1.09103	−	1.36811i
$315$	−0.341120	−	1.49455i	−0.0192199	−	0.0842081i
$316$	−0.0882624	+	0.386703i	−0.00496515	+	0.0217537i
$317$	−0.371355	+	0.465664i	−0.0208574	+	0.0261543i	−0.792151	−	0.610325i	$-0.791039\pi$
$317$	−0.371355	+	0.465664i	−0.0208574	+	0.0261543i	0.771293	+	0.636480i	$0.219610\pi$
$318$	−37.2700			−2.09000
$319$	3.30214	−	8.65409i	0.184884	−	0.484536i
$320$	−7.00044			−0.391337
$321$	22.6360	−	28.3847i	1.26342	−	1.58428i
$322$	−1.41614	+	6.20451i	−0.0789184	+	0.345764i
$323$	4.05112	+	17.7491i	0.225410	+	0.987587i
$324$	−1.39450	+	1.74864i	−0.0774721	+	0.0971469i
$325$	0.0632764	+	0.0793461i	0.00350994	+	0.00440133i
$326$	3.37681	−	14.7948i	0.187024	−	0.819406i
$327$	−18.4408	−	8.88064i	−1.01978	−	0.491100i
$328$	−4.69256	−	2.25982i	−0.259103	−	0.124778i
$329$	1.10679	+	4.84915i	0.0610192	+	0.267343i
$330$	−5.26585	+	2.53590i	−0.289876	+	0.139597i
$331$	4.27394			0.234917			0.117458	−	0.993078i	$-0.462525\pi$
$331$	4.27394			0.234917			0.117458	+	0.993078i	$0.462525\pi$
$332$	−1.84346	+	0.887764i	−0.101173	+	0.0487224i
$333$	−15.2038	−	19.0650i	−0.833163	−	1.04475i
$334$	14.2893	+	17.9182i	0.781874	+	0.980439i
$335$	2.22030	−	1.06924i	0.121308	−	0.0584189i
$336$	6.88134			0.375408
$337$	7.74123	−	3.72798i	0.421692	−	0.203076i	−0.210989	−	0.977488i	$-0.567669\pi$
$337$	7.74123	−	3.72798i	0.421692	−	0.203076i	0.632681	+	0.774412i	$0.281954\pi$
$338$	4.29568	+	18.8206i	0.233654	+	1.02371i
$339$	27.7628	+	13.3698i	1.50787	+	0.726150i
$340$	−0.628496	−	0.302668i	−0.0340850	−	0.0164145i
$341$	0.869668	−	3.81027i	0.0470952	−	0.206337i
$342$	11.2398	+	14.0943i	0.607780	+	0.762131i
$343$	5.80331	−	7.27712i	0.313349	−	0.392927i
$344$	0.500016	+	2.19072i	0.0269591	+	0.118115i
$345$	−3.16623	+	13.8722i	−0.170464	+	0.746853i
$346$	12.2726	−	15.3893i	0.659778	−	0.827336i
$347$	−5.41060			−0.290456			−0.145228	−	0.989398i	$-0.546392\pi$
$347$	−5.41060			−0.290456			−0.145228	+	0.989398i	$0.546392\pi$
$348$	1.86645	−	1.76504i	0.100052	−	0.0946160i
$349$	−14.3277			−0.766945			−0.383473	−	0.923552i	$-0.625272\pi$
$349$	−14.3277			−0.766945			−0.383473	+	0.923552i	$0.625272\pi$
$350$	−0.637605	+	0.799532i	−0.0340814	+	0.0427368i
$351$	0.0398726	−	0.174693i	0.00212824	−	0.00932443i
$352$	−0.449933	−	1.97128i	−0.0239815	−	0.105070i
$353$	−19.0720	+	23.9155i	−1.01510	+	1.27289i	−0.0534603	+	0.998570i	$0.517025\pi$
$353$	−19.0720	+	23.9155i	−1.01510	+	1.27289i	−0.961638	+	0.274323i	$0.911546\pi$
$354$	−7.92161	−	9.93339i	−0.421029	−	0.527954i
$355$	−0.0263122	+	0.115281i	−0.00139651	+	0.00611849i
$356$	2.81158	+	1.35399i	0.149014	+	0.0717612i
$357$	−4.73960	−	2.28247i	−0.250846	−	0.120801i
$358$	5.74494	+	25.1702i	0.303630	+	1.33029i
$359$	0.470034	−	0.226357i	0.0248075	−	0.0119466i	−0.421439	−	0.906857i	$-0.638475\pi$
$359$	0.470034	−	0.226357i	0.0248075	−	0.0119466i	0.446246	+	0.894910i	$0.352761\pi$
$360$	5.93092			0.312587
$361$	−9.59287	+	4.61968i	−0.504888	+	0.243141i
$362$	−10.2460	−	12.8480i	−0.538516	−	0.675278i
$363$	−11.4637	−	14.3750i	−0.601687	−	0.754492i
$364$	0.0131270	−	0.00632161i	0.000688040	−	0.000331342i
$365$	3.61093			0.189005
$366$	32.2960	−	15.5529i	1.68814	−	0.812964i
$367$	−6.31242	−	27.6565i	−0.329505	−	1.44366i	−0.820075	−	0.572256i	$-0.806068\pi$
$367$	−6.31242	−	27.6565i	−0.329505	−	1.44366i	0.490570	−	0.871402i	$-0.336789\pi$
$368$	−24.5231	−	11.8097i	−1.27835	−	0.615623i
$369$	3.92681	+	1.89105i	0.204421	+	0.0984441i
$370$	−3.61976	+	15.8592i	−0.188182	+	0.824480i
$371$	4.70575	+	5.90082i	0.244310	+	0.306355i
$372$	0.675794	−	0.847419i	0.0350383	−	0.0439366i
$373$	6.64025	+	29.0928i	0.343819	+	1.50637i	0.790939	+	0.611895i	$0.209593\pi$
$373$	6.64025	+	29.0928i	0.343819	+	1.50637i	−0.447120	+	0.894474i	$0.647550\pi$
$374$	−1.90188	+	8.33266i	−0.0983437	+	0.430872i
$375$	−1.42557	+	1.78761i	−0.0736161	+	0.0923117i
$376$	−19.2433			−0.992396
$377$	−0.194836	+	0.510618i	−0.0100346	+	0.0262981i
$378$	1.80557			0.0928683
$379$	9.62077	−	12.0641i	0.494186	−	0.619689i	−0.470721	−	0.882282i	$-0.656006\pi$
$379$	9.62077	−	12.0641i	0.494186	−	0.619689i	0.964907	+	0.262593i	$0.0845776\pi$
$380$	0.252781	−	1.10751i	0.0129674	−	0.0568138i
$381$	4.43448	+	19.4287i	0.227185	+	0.995365i
$382$	14.9965	−	18.8050i	0.767289	−	0.962150i
$383$	−11.0842	−	13.8992i	−0.566378	−	0.710215i	0.413345	−	0.910575i	$-0.364360\pi$
$383$	−11.0842	−	13.8992i	−0.566378	−	0.710215i	−0.979722	+	0.200359i	$0.935789\pi$
$384$	−6.48938	+	28.4318i	−0.331160	+	1.45091i
$385$	1.06637	+	0.513538i	0.0543473	+	0.0261723i
$386$	−3.57252	−	1.72043i	−0.181836	−	0.0875677i
$387$	−0.418421	−	1.83322i	−0.0212695	−	0.0931879i
$388$	3.10071	−	1.49322i	0.157415	−	0.0758069i
$389$	−12.1748			−0.617288			−0.308644	−	0.951178i	$-0.599875\pi$
$389$	−12.1748			−0.617288			−0.308644	+	0.951178i	$0.599875\pi$
$390$	0.310702	−	0.149626i	0.0157330	−	0.00757661i
$391$	12.9734	+	16.2681i	0.656093	+	0.822714i
$392$	10.8332	+	13.5844i	0.547158	+	0.686115i
$393$	−28.3424	+	13.6490i	−1.42968	+	0.688500i
$394$	17.6056			0.886958
$395$	1.71291	−	0.824892i	0.0861857	−	0.0415048i
$396$	0.177896	+	0.779412i	0.00893959	+	0.0391669i
$397$	−8.93993	−	4.30524i	−0.448682	−	0.216074i	0.195877	−	0.980629i	$-0.437245\pi$
$397$	−8.93993	−	4.30524i	−0.448682	−	0.216074i	−0.644559	+	0.764554i	$0.722959\pi$
$398$	26.6560	+	12.8369i	1.33615	+	0.643454i
$399$	1.90627	−	8.35190i	0.0954327	−	0.418118i
$400$	−2.72698	−	3.41953i	−0.136349	−	0.170976i
$401$	−3.18322	+	3.99163i	−0.158962	+	0.199333i	−0.854934	−	0.518737i	$-0.826402\pi$
$401$	−3.18322	+	3.99163i	−0.158962	+	0.199333i	0.695972	+	0.718069i	$0.254974\pi$
$402$	−1.86335	−	8.16386i	−0.0929354	−	0.407176i
$403$	−0.0513131	+	0.224817i	−0.00255609	+	0.0111989i
$404$	0.927880	−	1.16352i	0.0461637	−	0.0578875i
$405$	10.7203			0.532697
$406$	−5.45311	−	0.769124i	−0.270633	−	0.0381710i
$407$	18.8272			0.933228
$408$	12.6896	−	15.9122i	0.628227	−	0.787772i
$409$	1.80745	−	7.91897i	0.0893728	−	0.391568i	−0.910381	−	0.413772i	$-0.864211\pi$
$409$	1.80745	−	7.91897i	0.0893728	−	0.391568i	0.999753	+	0.0222038i	$0.00706828\pi$
$410$	−0.646973	−	2.83458i	−0.0319517	−	0.139990i
$411$	16.2753	−	20.4086i	0.802804	−	1.00668i
$412$	1.35361	+	1.69737i	0.0666873	+	0.0836233i
$413$	−0.572526	+	2.50840i	−0.0281721	+	0.123430i
$414$	18.5635	+	8.93971i	0.912346	+	0.439363i
$415$	8.83595	+	4.25517i	0.433740	+	0.208878i
$416$	0.0265474	+	0.116312i	0.00130159	+	0.00570265i
$417$	31.7892	−	15.3089i	1.55672	−	0.749679i
$418$	−13.9185			−0.680776
$419$	4.29901	−	2.07029i	0.210020	−	0.101140i	−0.325917	−	0.945399i	$-0.605673\pi$
$419$	4.29901	−	2.07029i	0.210020	−	0.101140i	0.535937	+	0.844258i	$0.319959\pi$
$420$	0.204659	+	0.256634i	0.00998633	+	0.0125225i
$421$	23.0577	+	28.9134i	1.12376	+	1.40915i	0.900751	+	0.434336i	$0.143017\pi$
$421$	23.0577	+	28.9134i	1.12376	+	1.40915i	0.223011	+	0.974816i	$0.428411\pi$
$422$	−17.7273	+	8.53702i	−0.862951	+	0.415576i
$423$	16.1031			0.782957
$424$	−26.3084	+	12.6695i	−1.27765	+	0.615284i
$425$	0.744016	+	3.25975i	0.0360901	+	0.158121i
$426$	0.362007	+	0.174333i	0.0175393	+	0.00844648i
$427$	−6.54016	−	3.14957i	−0.316500	−	0.152419i
$428$	−0.737162	+	3.22972i	−0.0356321	+	0.156114i
$429$	−0.248851	−	0.312049i	−0.0120146	−	0.0150659i
$430$	−0.782092	+	0.980713i	−0.0377158	+	0.0472942i
$431$	−5.64089	−	24.7144i	−0.271712	−	1.19045i	−0.907991	−	0.418990i	$-0.862384\pi$
$431$	−5.64089	−	24.7144i	−0.271712	−	1.19045i	0.636279	−	0.771459i	$-0.280473\pi$
$432$	−1.71836	+	7.52863i	−0.0826747	+	0.362221i
$433$	−0.579188	+	0.726278i	−0.0278340	+	0.0349027i	−0.795554	−	0.605883i	$-0.792820\pi$
$433$	−0.579188	+	0.726278i	−0.0278340	+	0.0349027i	0.767720	+	0.640786i	$0.221391\pi$
$434$	−2.32363			−0.111538
$435$	−12.1922	−	1.71962i	−0.584570	−	0.0824496i
$436$	1.86764			0.0894435
$437$	−21.1268	+	26.4922i	−1.01063	+	1.26729i
$438$	2.73031	−	11.9623i	0.130459	−	0.571578i
$439$	2.28759	+	10.0226i	0.109181	+	0.478351i	0.999725	+	0.0234549i	$0.00746660\pi$
$439$	2.28759	+	10.0226i	0.109181	+	0.478351i	−0.890544	+	0.454896i	$0.849676\pi$
$440$	−2.85505	+	3.58012i	−0.136109	+	0.170676i
$441$	−9.06536	−	11.3676i	−0.431684	−	0.541315i
$442$	0.112217	−	0.491653i	0.00533759	−	0.0233855i
$443$	9.53824	+	4.59337i	0.453175	+	0.218238i	0.646526	−	0.762892i	$-0.276221\pi$
$443$	9.53824	+	4.59337i	0.453175	+	0.218238i	−0.193351	+	0.981130i	$0.561935\pi$
$444$	4.70432	+	2.26548i	0.223257	+	0.107515i
$445$	−3.32837	−	14.5825i	−0.157780	−	0.691278i
$446$	−18.3063	+	8.81586i	−0.866830	+	0.417443i
$447$	36.9371			1.74706
$448$	4.34007	−	2.09007i	0.205049	−	0.0987463i
$449$	10.2611	+	12.8670i	0.484251	+	0.607231i	0.962596	−	0.270941i	$-0.0873347\pi$
$449$	10.2611	+	12.8670i	0.484251	+	0.607231i	−0.478345	+	0.878172i	$0.658763\pi$
$450$	2.06427	+	2.58851i	0.0973107	+	0.122024i
$451$	−3.03181	+	1.46004i	−0.142762	+	0.0687507i
$452$	−2.81174			−0.132253
$453$	−4.06582	+	1.95800i	−0.191029	+	0.0919946i
$454$	−8.08146	−	35.4072i	−0.379282	−	1.66174i
$455$	−0.0629192	−	0.0303003i	−0.00294970	−	0.00142050i
$456$	29.8613	+	14.3804i	1.39838	+	0.673425i
$457$	−4.76305	+	20.8683i	−0.222806	+	0.976178i	0.732548	+	0.680715i	$0.238331\pi$
$457$	−4.76305	+	20.8683i	−0.222806	+	0.976178i	−0.955354	+	0.295463i	$0.904526\pi$
$458$	−16.5857	−	20.7979i	−0.775001	−	0.971820i
$459$	3.68071	−	4.61547i	0.171801	−	0.215431i
$460$	−0.288911	−	1.26580i	−0.0134706	−	0.0590184i
$461$	2.86956	−	12.5724i	0.133649	−	0.585554i	−0.863103	−	0.505027i	$-0.831482\pi$
$461$	2.86956	−	12.5724i	0.133649	−	0.585554i	0.996752	−	0.0805271i	$-0.0256604\pi$
$462$	2.50755	−	3.14437i	0.116662	−	0.146289i
$463$	−13.6023			−0.632152			−0.316076	−	0.948734i	$-0.602365\pi$
$463$	−13.6023			−0.632152			−0.316076	+	0.948734i	$0.602365\pi$
$464$	8.39673	−	22.0057i	0.389809	−	1.02159i
$465$	−5.19522			−0.240923
$466$	2.07945	−	2.60755i	0.0963287	−	0.120792i
$467$	−3.80415	+	16.6671i	−0.176035	+	0.771260i	0.807401	+	0.590003i	$0.200874\pi$
$467$	−3.80415	+	16.6671i	−0.176035	+	0.771260i	−0.983436	+	0.181257i	$0.941984\pi$
$468$	−0.0104964	−	0.0459877i	−0.000485196	−	0.00212578i
$469$	−1.05729	+	1.32579i	−0.0488209	+	0.0612195i
$470$	−6.69767	−	8.39861i	−0.308940	−	0.387399i
$471$	−10.6156	+	46.5098i	−0.489139	+	2.14306i
$472$	−8.96849	−	4.31900i	−0.412808	−	0.198798i
$473$	1.30802	+	0.629910i	0.0601429	+	0.0289633i
$474$	−1.43753	−	6.29822i	−0.0660278	−	0.289287i
$475$	−4.90571	+	2.36247i	−0.225090	+	0.108397i
$476$	0.480013			0.0220014
$477$	22.0153	−	10.6020i	1.00801	−	0.485432i
$478$	18.2503	+	22.8851i	0.834748	+	1.04674i
$479$	−2.01428	−	2.52582i	−0.0920347	−	0.115408i	0.733682	−	0.679493i	$-0.237800\pi$
$479$	−2.01428	−	2.52582i	−0.0920347	−	0.115408i	−0.825716	+	0.564085i	$0.809229\pi$
$480$	−2.42163	+	1.16620i	−0.110532	+	0.0532293i
$481$	−1.11086			−0.0506509
$482$	23.6281	−	11.3787i	1.07623	−	0.518285i
$483$	−2.17873	−	9.54565i	−0.0991357	−	0.434342i
$484$	1.51156	+	0.727930i	0.0687074	+	0.0330877i
$485$	−14.8621	−	7.15721i	−0.674853	−	0.324992i
$486$	6.35423	−	27.8397i	0.288234	−	1.26283i
$487$	11.8325	+	14.8375i	0.536183	+	0.672352i	0.973957	−	0.226733i	$-0.0728044\pi$
$487$	11.8325	+	14.8375i	0.536183	+	0.672352i	−0.437774	+	0.899085i	$0.644233\pi$
$488$	17.5103	−	21.9572i	0.792654	−	0.993957i
$489$	5.19522	+	22.7617i	0.234936	+	1.02932i
$490$	−2.15830	+	9.45615i	−0.0975023	+	0.427185i
$491$	−8.44705	+	10.5923i	−0.381210	+	0.478022i	−0.935007	−	0.354630i	$-0.884607\pi$
$491$	−8.44705	+	10.5923i	−0.381210	+	0.478022i	0.553797	+	0.832652i	$0.313178\pi$
$492$	−0.933242			−0.0420738
$493$	−13.0824	+	12.3716i	−0.589203	+	0.557188i
$494$	0.821234			0.0369490
$495$	2.38915	−	2.99590i	0.107384	−	0.134656i
$496$	2.21140	−	9.68880i	0.0992950	−	0.435040i
$497$	−0.0181058	−	0.0793267i	−0.000812157	−	0.00355829i
$498$	20.7775	−	26.0542i	0.931063	−	1.16752i
$499$	−26.3886	−	33.0902i	−1.18131	−	1.48132i	−0.841021	−	0.541002i	$-0.818045\pi$
$499$	−26.3886	−	33.0902i	−1.18131	−	1.48132i	−0.340293	−	0.940319i	$-0.610526\pi$
$500$	0.0464250	−	0.203401i	0.00207619	−	0.00909638i
$501$	−31.7679	−	15.2986i	−1.41928	−	0.683491i
$502$	2.26251	+	1.08957i	0.100981	+	0.0486297i
$503$	4.51113	+	19.7646i	0.201142	+	0.881259i	0.970243	+	0.242132i	$0.0778468\pi$
$503$	4.51113	+	19.7646i	0.201142	+	0.881259i	−0.769102	+	0.639126i	$0.779296\pi$
$504$	−3.67699	+	1.77075i	−0.163786	+	0.0788753i
$505$	−7.13315			−0.317421
$506$	−14.3325	+	6.90217i	−0.637158	+	0.306839i
$507$	−18.5177	−	23.2205i	−0.822401	−	1.03126i
$508$	−1.13377	−	1.42170i	−0.0503027	−	0.0630776i
$509$	19.7913	−	9.53097i	0.877232	−	0.422453i	0.0596194	−	0.998221i	$-0.481011\pi$
$509$	19.7913	−	9.53097i	0.877232	−	0.422453i	0.817613	+	0.575768i	$0.195297\pi$
$510$	11.3614			0.503092
$511$	−2.23867	+	1.07809i	−0.0990329	+	0.0476917i
$512$	4.03794	+	17.6914i	0.178453	+	0.781855i
$513$	8.66150	+	4.17116i	0.382414	+	0.184161i
$514$	−11.1731	−	5.38066i	−0.492823	−	0.237331i
$515$	2.31554	−	10.1451i	0.102035	−	0.447044i
$516$	0.251036	+	0.314790i	0.0110513	+	0.0138578i
$517$	−7.75175	+	9.72039i	−0.340922	+	0.427502i
$518$	−2.49081	−	10.9129i	−0.109440	−	0.479487i
$519$	−6.73868	+	29.5241i	−0.295795	+	1.29596i
$520$	0.168457	−	0.211238i	0.00738732	−	0.00926340i
$521$	34.8582			1.52716			0.763582	−	0.645710i	$-0.223439\pi$
$521$	34.8582			1.52716			0.763582	+	0.645710i	$0.223439\pi$
$522$	−6.35616	+	16.6579i	−0.278202	+	0.729097i
$523$	−8.02352			−0.350844			−0.175422	−	0.984493i	$-0.556129\pi$
$523$	−8.02352			−0.350844			−0.175422	+	0.984493i	$0.556129\pi$
$524$	1.78969	−	2.24420i	0.0781829	−	0.0980383i
$525$	0.350099	−	1.53388i	0.0152796	−	0.0669442i
$526$	−7.05155	−	30.8949i	−0.307462	−	1.34708i
$527$	−4.73681	+	5.93977i	−0.206339	+	0.258740i
$528$	10.7246	+	13.4482i	0.466726	+	0.585256i
$529$	−3.49982	+	15.3337i	−0.152166	+	0.666683i
$530$	−14.6862	−	7.07251i	−0.637929	−	0.307210i
$531$	7.50496	+	3.61420i	0.325688	+	0.156843i
$532$	0.173942	+	0.762091i	0.00754135	+	0.0330408i
$533$	0.178886	−	0.0861469i	0.00774841	−	0.00373144i
$534$	−50.8255			−2.19943
$535$	14.3061	−	6.88945i	0.618506	−	0.297857i
$536$	−4.09052	−	5.12934i	−0.176683	−	0.221554i
$537$	−24.7652	−	31.0546i	−1.06870	−	1.34010i
$538$	20.2109	−	9.73306i	0.871354	−	0.419622i
$539$	11.2258			0.483530
$540$	−0.331880	+	0.159825i	−0.0142819	+	0.00687778i
$541$	3.37560	+	14.7895i	0.145129	+	0.635850i	0.994198	+	0.107568i	$0.0343063\pi$
$541$	3.37560	+	14.7895i	0.145129	+	0.635850i	−0.849069	+	0.528282i	$0.822837\pi$
$542$	4.80042	+	2.31176i	0.206196	+	0.0992987i
$543$	22.7788	+	10.9697i	0.977533	+	0.470755i
$544$	−0.874623	+	3.83197i	−0.0374992	+	0.164295i
$545$	−5.58137	−	6.99881i	−0.239080	−	0.299796i
$546$	−0.147953	+	0.185527i	−0.00633180	+	0.00793983i
$547$	9.44087	+	41.3632i	0.403663	+	1.76856i	0.612358	+	0.790581i	$0.290221\pi$
$547$	9.44087	+	41.3632i	0.403663	+	1.76856i	−0.208695	+	0.977981i	$0.566922\pi$
$548$	−0.530021	+	2.32218i	−0.0226414	+	0.0991984i
$549$	−14.6529	+	18.3741i	−0.625369	+	0.784188i
$550$	−2.55623			−0.108998
$551$	−24.3824	−	16.2872i	−1.03872	−	0.693856i
$552$	37.8808			1.61231
$553$	−0.815669	+	1.02282i	−0.0346858	+	0.0434946i
$554$	1.05654	−	4.62898i	0.0448879	−	0.196667i
$555$	−5.56900	−	24.3994i	−0.236391	−	1.03570i
$556$	−2.00734	+	2.51712i	−0.0851301	+	0.106750i
$557$	−8.40934	−	10.5450i	−0.356315	−	0.446805i	0.571076	−	0.820897i	$-0.306526\pi$
$557$	−8.40934	−	10.5450i	−0.356315	−	0.446805i	−0.927392	+	0.374092i	$0.877955\pi$
$558$	−1.67399	+	7.33423i	−0.0708656	+	0.310483i
$559$	−0.0771772	−	0.0371666i	−0.00326425	−	0.00157198i
$560$	2.71159	+	1.30583i	0.114585	+	0.0551814i
$561$	−2.92604	−	12.8198i	−0.123537	−	0.541253i
$562$	−25.8627	+	12.4548i	−1.09095	+	0.525375i
$563$	21.0323			0.886407			0.443204	−	0.896421i	$-0.353842\pi$
$563$	21.0323			0.886407			0.443204	+	0.896421i	$0.353842\pi$
$564$	−3.10658	+	1.49605i	−0.130811	+	0.0629951i
$565$	8.40278	+	10.5368i	0.353508	+	0.443285i
$566$	−21.7109	−	27.2246i	−0.912578	−	1.14434i
$567$	−6.64627	+	3.20068i	−0.279117	+	0.134416i
$568$	0.314799			0.0132087
$569$	−15.7645	+	7.59179i	−0.660882	+	0.318264i	−0.734090	−	0.679053i	$-0.762391\pi$
$569$	−15.7645	+	7.59179i	−0.660882	+	0.318264i	0.0732072	+	0.997317i	$0.476677\pi$
$570$	4.11703	+	18.0379i	0.172444	+	0.755525i
$571$	−1.14691	−	0.552323i	−0.0479967	−	0.0231140i	0.409731	−	0.912206i	$-0.365622\pi$
$571$	−1.14691	−	0.552323i	−0.0479967	−	0.0231140i	−0.457728	+	0.889092i	$0.651337\pi$
$572$	0.0328126	+	0.0158017i	0.00137197	+	0.000660704i
$573$	−8.23436	+	36.0771i	−0.343995	+	1.50714i
$574$	1.24740	+	1.56419i	0.0520655	+	0.0652880i
$575$	−3.88009	+	4.86548i	−0.161811	+	0.202905i
$576$	−3.47034	−	15.2046i	−0.144598	−	0.633523i
$577$	7.05998	−	30.9318i	0.293911	−	1.28771i	−0.585122	−	0.810945i	$-0.698953\pi$
$577$	7.05998	−	30.9318i	0.293911	−	1.28771i	0.879033	−	0.476761i	$-0.158189\pi$
$578$	−5.39324	+	6.76291i	−0.224329	+	0.281300i
$579$	6.10045			0.253526
$580$	1.07041	−	0.341326i	0.0444466	−	0.0141728i
$581$	−6.74845			−0.279973
$582$	−34.9479	+	43.8233i	−1.44864	+	1.81653i
$583$	−4.19805	+	18.3929i	−0.173865	+	0.761754i
$584$	−2.13913	−	9.37213i	−0.0885177	−	0.387822i
$585$	−0.140967	+	0.176767i	−0.00582827	+	0.00730842i
$586$	28.9834	+	36.3441i	1.19729	+	1.50136i
$587$	1.16377	−	5.09882i	0.0480340	−	0.210451i	−0.945216	−	0.326446i	$-0.894149\pi$
$587$	1.16377	−	5.09882i	0.0480340	−	0.210451i	0.993250	+	0.115996i	$0.0370059\pi$
$588$	2.80498	+	1.35081i	0.115676	+	0.0557064i
$589$	−11.1467	−	5.36798i	−0.459292	−	0.221184i
$590$	−1.23650	−	5.41748i	−0.0509061	−	0.223034i
$591$	−24.4039	+	11.7523i	−1.00384	+	0.483424i
$592$	47.8740			1.96761
$593$	14.2966	−	6.88489i	0.587092	−	0.282729i	−0.116663	−	0.993172i	$-0.537220\pi$
$593$	14.2966	−	6.88489i	0.587092	−	0.282729i	0.703755	+	0.710443i	$0.251505\pi$
$594$	2.81397	+	3.52861i	0.115459	+	0.144781i
$595$	−1.43450	−	1.79881i	−0.0588089	−	0.0737441i
$596$	−3.03664	+	1.46237i	−0.124386	+	0.0599010i
$597$	−45.5180			−1.86293
$598$	0.845662	−	0.407249i	0.0345817	−	0.0166537i
$599$	−7.81381	−	34.2345i	−0.319264	−	1.39879i	−0.838848	−	0.544366i	$-0.816770\pi$
$599$	−7.81381	−	34.2345i	−0.319264	−	1.39879i	0.519584	−	0.854419i	$-0.326087\pi$
$600$	5.48423	+	2.64107i	0.223893	+	0.107821i
$601$	−17.1641	−	8.26578i	−0.700137	−	0.337168i	0.0497244	−	0.998763i	$-0.484166\pi$
$601$	−17.1641	−	8.26578i	−0.700137	−	0.337168i	−0.749862	+	0.661595i	$0.769880\pi$
$602$	0.192070	−	0.841515i	0.00782820	−	0.0342976i
$603$	3.42300	+	4.29231i	0.139395	+	0.174796i
$604$	0.256737	−	0.321938i	0.0104465	−	0.0130995i
$605$	−1.78940	−	7.83985i	−0.0727493	−	0.318735i
$606$	−5.39353	+	23.6306i	−0.219097	+	0.959928i
$607$	−9.48858	+	11.8983i	−0.385129	+	0.482937i	−0.936173	−	0.351539i	$-0.885658\pi$
$607$	−9.48858	+	11.8983i	−0.385129	+	0.482937i	0.551044	+	0.834476i	$0.314230\pi$
$608$	−6.40075			−0.259585
$609$	8.07219	−	2.57400i	0.327102	−	0.104304i
$610$	15.6776			0.634767
$611$	0.457377	−	0.573533i	0.0185035	−	0.0232027i
$612$	0.345811	−	1.51510i	0.0139786	−	0.0612442i
$613$	1.66300	+	7.28610i	0.0671681	+	0.294283i	0.997344	−	0.0728306i	$-0.0232032\pi$
$613$	1.66300	+	7.28610i	0.0671681	+	0.294283i	−0.930176	+	0.367113i	$0.880346\pi$
$614$	7.57632	−	9.50041i	0.305755	−	0.383405i
$615$	2.78896	+	3.49725i	0.112462	+	0.141023i
$616$	0.701159	−	3.07198i	0.0282505	−	0.123773i
$617$	−33.4989	−	16.1322i	−1.34861	−	0.649458i	−0.386546	−	0.922270i	$-0.626332\pi$
$617$	−33.4989	−	16.1322i	−1.34861	−	0.649458i	−0.962067	+	0.272812i	$0.912046\pi$
$618$	−31.8576	−	15.3418i	−1.28150	−	0.617138i
$619$	5.47486	+	23.9869i	0.220053	+	0.964116i	0.957437	+	0.288642i	$0.0932037\pi$
$619$	5.47486	+	23.9869i	0.220053	+	0.964116i	−0.737384	+	0.675474i	$0.763939\pi$
$620$	0.427106	−	0.205683i	0.0171530	−	0.00826044i
$621$	10.9876			0.440918
$622$	37.4216	−	18.0213i	1.50047	−	0.722588i
$623$	6.41727	+	8.04701i	0.257103	+	0.322396i
$624$	−0.632782	−	0.793483i	−0.0253315	−	0.0317647i
$625$	−0.900969	+	0.433884i	−0.0360388	+	0.0173553i
$626$	−25.1902			−1.00680
$627$	19.2930	−	9.29102i	0.770488	−	0.371047i
$628$	−0.968644	−	4.24391i	−0.0386531	−	0.169350i
$629$	−32.9737	−	15.8793i	−1.31475	−	0.633150i
$630$	−2.05262	−	0.988488i	−0.0817782	−	0.0393823i
$631$	1.79358	−	7.85817i	0.0714011	−	0.312829i	−0.926598	−	0.376053i	$-0.877281\pi$
$631$	1.79358	−	7.85817i	0.0714011	−	0.312829i	0.997999	+	0.0632241i	$0.0201383\pi$
$632$	−3.15573	−	3.95716i	−0.125528	−	0.157407i
$633$	18.8738	−	23.6670i	0.750167	−	0.940680i
$634$	0.196966	+	0.862966i	0.00782254	+	0.0342728i
$635$	−1.93947	+	8.49739i	−0.0769656	+	0.337208i
$636$	−3.26218	+	4.09065i	−0.129354	+	0.162205i
$637$	−0.662358			−0.0262436
$638$	−6.99557	−	11.8557i	−0.276957	−	0.469370i
$639$	−0.263428			−0.0104210
$640$	−7.95247	+	9.97208i	−0.314349	+	0.394181i
$641$	7.69072	−	33.6953i	0.303765	−	1.33088i	−0.560629	−	0.828067i	$-0.689440\pi$
$641$	7.69072	−	33.6953i	0.303765	−	1.33088i	0.864394	−	0.502815i	$-0.167702\pi$
$642$	−12.0061	−	52.6023i	−0.473844	−	2.07605i
$643$	18.5354	−	23.2426i	0.730964	−	0.916600i	−0.267938	−	0.963436i	$-0.586342\pi$
$643$	18.5354	−	23.2426i	0.730964	−	0.916600i	0.998903	+	0.0468358i	$0.0149138\pi$
$644$	0.557037	+	0.698502i	0.0219503	+	0.0275248i
$645$	0.429435	−	1.88148i	0.0169090	−	0.0740831i
$646$	24.3767	+	11.7392i	0.959090	+	0.461873i
$647$	25.4435	+	12.2530i	1.00029	+	0.481714i	0.861037	−	0.508543i	$-0.169816\pi$
$647$	25.4435	+	12.2530i	1.00029	+	0.481714i	0.139253	+	0.990257i	$0.455530\pi$
$648$	−6.35075	−	27.8244i	−0.249481	−	1.09305i
$649$	−5.79443	+	2.79045i	−0.227451	+	0.109535i
$650$	0.150825			0.00591586
$651$	3.22088	−	1.55109i	0.126236	−	0.0607922i
$652$	−1.32826	−	1.66559i	−0.0520188	−	0.0652295i
$653$	−0.281197	−	0.352610i	−0.0110041	−	0.0137987i	0.776299	−	0.630365i	$-0.217095\pi$
$653$	−0.281197	−	0.352610i	−0.0110041	−	0.0137987i	−0.787303	+	0.616566i	$0.788523\pi$
$654$	−27.4058	+	13.1979i	−1.07165	+	0.516080i
$655$	−13.7584			−0.537585
$656$	−7.70932	+	3.71261i	−0.300999	+	0.144953i
$657$	1.79005	+	7.84274i	0.0698366	+	0.305974i
$658$	6.65986	+	3.20722i	0.259628	+	0.125030i
$659$	40.8726	+	19.6832i	1.59217	+	0.766749i	0.999258	−	0.0385184i	$-0.0122638\pi$
$659$	40.8726	+	19.6832i	1.59217	+	0.766749i	0.592912	+	0.805267i	$0.297978\pi$
$660$	−0.182578	+	0.799928i	−0.00710685	+	0.0311371i
$661$	9.44819	+	11.8477i	0.367492	+	0.460820i	0.930855	−	0.365389i	$-0.119064\pi$
$661$	9.44819	+	11.8477i	0.367492	+	0.460820i	−0.563363	+	0.826210i	$0.690493\pi$
$662$	3.96022	−	4.96596i	0.153918	−	0.193007i
$663$	0.172645	+	0.756408i	0.00670498	+	0.0293764i
$664$	5.80979	−	25.4544i	0.225464	−	0.987821i
$665$	2.33605	−	2.92932i	0.0905883	−	0.113594i
$666$	−36.2397			−1.40426
$667$	−33.1844	−	4.68044i	−1.28491	−	0.181227i
$668$	3.21736			0.124484
$669$	19.4903	−	24.4401i	0.753539	−	0.944908i
$670$	0.814957	−	3.57056i	0.0314845	−	0.137943i
$671$	−4.03763	−	17.6900i	−0.155871	−	0.682915i
$672$	1.15316	−	1.44601i	0.0444840	−	0.0557811i
$673$	6.05105	+	7.58777i	0.233251	+	0.292487i	0.884657	−	0.466242i	$-0.154392\pi$
$673$	6.05105	+	7.58777i	0.233251	+	0.292487i	−0.651407	+	0.758729i	$0.725821\pi$
$674$	2.84140	−	12.4490i	0.109447	−	0.479518i
$675$	1.59074	+	0.766062i	0.0612278	+	0.0294858i
$676$	2.44169	+	1.17585i	0.0939110	+	0.0452252i
$677$	−4.29205	−	18.8047i	−0.164957	−	0.722724i	−0.987963	−	0.154691i	$-0.950562\pi$
$677$	−4.29205	−	18.8047i	−0.164957	−	0.722724i	0.823006	−	0.568033i	$-0.192295\pi$
$678$	41.2596	−	19.8696i	1.58456	−	0.763086i
$679$	11.3509			0.435609
$680$	8.01988	−	3.86217i	0.307548	−	0.148107i
$681$	34.8374	+	43.6847i	1.33497	+	1.67400i
$682$	−3.62138	−	4.54106i	−0.138670	−	0.173886i
$683$	32.6377	−	15.7175i	1.24885	−	0.601413i	0.311644	−	0.950199i	$-0.399120\pi$
$683$	32.6377	−	15.7175i	1.24885	−	0.601413i	0.937202	+	0.348786i	$0.113406\pi$
$684$	2.53075			0.0967656
$685$	10.2861	−	4.95353i	0.393012	−	0.189265i
$686$	−3.07807	−	13.4859i	−0.117521	−	0.514895i
$687$	36.8734	+	17.7573i	1.40681	+	0.677483i
$688$	3.32605	+	1.60174i	0.126805	+	0.0610659i
$689$	0.247698	−	1.08523i	0.00943653	−	0.0413441i
$690$	13.1845	+	16.5328i	0.501925	+	0.629394i
$691$	−13.4345	+	16.8463i	−0.511073	+	0.640865i	−0.968687	−	0.248286i	$-0.920133\pi$
$691$	−13.4345	+	16.8463i	−0.511073	+	0.640865i	0.457614	+	0.889151i	$0.348704\pi$
$692$	−0.614889	−	2.69400i	−0.0233746	−	0.102411i
$693$	−0.586740	+	2.57067i	−0.0222884	+	0.0976518i
$694$	−5.01345	+	6.28667i	−0.190308	+	0.238639i
$695$	15.4316			0.585353
$696$	2.75942	+	32.6633i	0.104596	+	1.23810i
$697$	6.54132			0.247770
$698$	−13.2760	+	16.6476i	−0.502505	+	0.630121i
$699$	−1.14179	+	5.00253i	−0.0431866	+	0.189213i
$700$	0.0319457	+	0.139963i	0.00120743	+	0.00529012i
$701$	−12.0932	+	15.1644i	−0.456753	+	0.572750i	−0.955872	−	0.293783i	$-0.905086\pi$
$701$	−12.0932	+	15.1644i	−0.456753	+	0.572750i	0.499119	+	0.866533i	$0.333657\pi$
$702$	−0.166033	−	0.208199i	−0.00626651	−	0.00785796i
$703$	13.2620	−	58.1048i	0.500187	−	2.19146i
$704$	10.8486	+	5.22441i	0.408872	+	0.196902i
$705$	14.8902	+	7.17076i	0.560799	+	0.270067i
$706$	10.1158	+	44.3200i	0.380712	+	1.66801i
$707$	4.42234	−	2.12969i	0.166319	−	0.0800951i
$708$	−1.78362			−0.0670327
$709$	20.4592	−	9.85262i	0.768361	−	0.370023i	−0.00828087	−	0.999966i	$-0.502636\pi$
$709$	20.4592	−	9.85262i	0.768361	−	0.370023i	0.776642	+	0.629943i	$0.216922\pi$
$710$	0.109566	+	0.137392i	0.00411195	+	0.00515623i
$711$	2.64076	+	3.31141i	0.0990362	+	0.124188i
$712$	−35.8770	+	17.2775i	−1.34455	+	0.647501i
$713$	−14.1403			−0.529557
$714$	−7.04374	+	3.39209i	−0.263605	+	0.126946i
$715$	−0.0388438	−	0.170186i	−0.00145267	−	0.00636458i
$716$	3.26546	+	1.57256i	0.122036	+	0.0587693i
$717$	−40.5740	−	19.5394i	−1.51526	−	0.729712i
$718$	0.172525	−	0.755882i	0.00643858	−	0.0282093i
$719$	20.8866	+	26.1910i	0.778939	+	0.976758i	0.999999	+	0.00149790i	$0.000476796\pi$
$719$	20.8866	+	26.1910i	0.778939	+	0.976758i	−0.221060	+	0.975260i	$0.570952\pi$
$720$	6.07516	−	7.61801i	0.226408	−	0.283906i
$721$	1.59336	+	6.98096i	0.0593398	+	0.259985i
$722$	−3.52104	+	15.4267i	−0.131040	+	0.574122i
$723$	−25.1563	+	31.5449i	−0.935571	+	1.17317i
$724$	−2.30698			−0.0857381
$725$	−4.47799	−	2.99125i	−0.166308	−	0.111092i
$726$	−27.3248			−1.01412
$727$	−28.4407	+	35.6635i	−1.05481	+	1.32268i	−0.110406	+	0.993887i	$0.535215\pi$
$727$	−28.4407	+	35.6635i	−1.05481	+	1.32268i	−0.944400	+	0.328798i	$0.893356\pi$
$728$	−0.0413705	+	0.181256i	−0.00153329	+	0.00671780i
$729$	2.61950	+	11.4768i	0.0970185	+	0.425066i
$730$	3.34588	−	4.19560i	0.123837	−	0.155286i
$731$	−1.75958	−	2.20644i	−0.0650802	−	0.0816080i
$732$	1.11977	−	4.90603i	0.0413879	−	0.181332i
$733$	21.3673	+	10.2899i	0.789217	+	0.380067i	0.784663	−	0.619923i	$-0.212836\pi$
$733$	21.3673	+	10.2899i	0.789217	+	0.380067i	0.00455446	+	0.999990i	$0.498550\pi$
$734$	−37.9836	−	18.2919i	−1.40200	−	0.675168i
$735$	−3.32055	−	14.5483i	−0.122480	−	0.536622i
$736$	−6.59115	+	3.17413i	−0.242953	+	0.117000i
$737$	−4.23877			−0.156137
$738$	5.83581	−	2.81038i	0.214819	−	0.103451i
$739$	27.0403	+	33.9075i	0.994693	+	1.24731i	0.968852	+	0.247640i	$0.0796550\pi$
$739$	27.0403	+	33.9075i	0.994693	+	1.24731i	0.0258413	+	0.999666i	$0.491774\pi$
$740$	1.42383	+	1.78542i	0.0523409	+	0.0656334i
$741$	−1.13835	+	0.548198i	−0.0418182	+	0.0201386i
$742$	11.2166			0.411774
$743$	24.3113	−	11.7077i	0.891896	−	0.429514i	0.0689406	−	0.997621i	$-0.478038\pi$
$743$	24.3113	−	11.7077i	0.891896	−	0.429514i	0.822955	+	0.568106i	$0.192324\pi$
$744$	3.07767	+	13.4841i	0.112833	+	0.494352i
$745$	14.5550	+	7.00933i	0.533255	+	0.256802i
$746$	39.9563	+	19.2419i	1.46290	+	0.704497i
$747$	−4.86172	+	21.3006i	−0.177881	+	0.779348i
$748$	0.748100	+	0.938088i	0.0273533	+	0.0342999i
$749$	−6.81242	+	8.54250i	−0.248920	+	0.312136i
$750$	0.756122	+	3.31279i	0.0276097	+	0.120966i
$751$	−5.82616	+	25.5261i	−0.212600	+	0.931460i	0.750193	+	0.661219i	$0.229961\pi$
$751$	−5.82616	+	25.5261i	−0.212600	+	0.931460i	−0.962793	+	0.270241i	$0.912897\pi$
$752$	−19.7113	+	24.7171i	−0.718796	+	0.901342i
$753$	−3.86348			−0.140793
$754$	0.412760	+	0.699521i	0.0150318	+	0.0254750i
$755$	−1.97369			−0.0718299
$756$	0.158038	−	0.198174i	0.00574779	−	0.00720750i
$757$	0.920378	−	4.03244i	0.0334517	−	0.146561i	−0.955444	−	0.295172i	$-0.904623\pi$
$757$	0.920378	−	4.03244i	0.0334517	−	0.146561i	0.988896	+	0.148611i	$0.0474801\pi$
$758$	−5.10285	−	22.3571i	−0.185344	−	0.812045i
$759$	15.2595	−	19.1348i	0.553884	−	0.694548i
$760$	9.03792	+	11.3332i	0.327840	+	0.411098i
$761$	9.53555	−	41.7780i	0.345663	−	1.51445i	−0.441249	−	0.897385i	$-0.645464\pi$
$761$	9.53555	−	41.7780i	0.345663	−	1.51445i	0.786912	−	0.617065i	$-0.211678\pi$
$762$	26.6836	+	12.8501i	0.966643	+	0.465511i
$763$	5.54986	+	2.67267i	0.200918	+	0.0967572i
$764$	−0.751365	−	3.29195i	−0.0271834	−	0.119098i
$765$	−6.71115	+	3.23192i	−0.242642	+	0.116850i
$766$	−26.4203			−0.954605
$767$	0.341889	−	0.164645i	0.0123449	−	0.00594499i
$768$	7.06310	+	8.85684i	0.254868	+	0.319594i
$769$	−13.3719	−	16.7678i	−0.482202	−	0.604662i	0.479910	−	0.877318i	$-0.340669\pi$
$769$	−13.3719	−	16.7678i	−0.482202	−	0.604662i	−0.962112	+	0.272656i	$0.912098\pi$
$770$	1.58479	−	0.763192i	0.0571117	−	0.0275035i
$771$	19.0792			0.687121
$772$	−0.501526	+	0.241522i	−0.0180503	+	0.00869257i
$773$	−8.95183	−	39.2205i	−0.321975	−	1.41066i	−0.834033	−	0.551714i	$-0.813974\pi$
$773$	−8.95183	−	39.2205i	−0.321975	−	1.41066i	0.512058	−	0.858951i	$-0.328883\pi$
$774$	−2.51776	−	1.21249i	−0.0904989	−	0.0435820i
$775$	−2.04717	−	0.985866i	−0.0735366	−	0.0354134i
$776$	−9.77210	+	42.8144i	−0.350798	+	1.53695i
$777$	10.7373	+	13.4642i	0.385200	+	0.483025i
$778$	−11.2812	+	14.1461i	−0.404449	+	0.507163i
$779$	2.37038	+	10.3853i	0.0849275	+	0.372092i
$780$	0.0107727	−	0.0471982i	0.000385724	−	0.00168997i
$781$	0.126810	−	0.159015i	0.00453762	−	0.00569000i
$782$	30.9233			1.10582
$783$	0.800392	+	9.47426i	0.0286037	+	0.338583i
$784$	28.5452			1.01947
$785$	−13.0089	+	16.3127i	−0.464309	+	0.582225i
$786$	−10.4030	+	45.5786i	−0.371063	+	1.62573i
$787$	−8.20240	−	35.9371i	−0.292384	−	1.28102i	−0.881197	−	0.472749i	$-0.843262\pi$
$787$	−8.20240	−	35.9371i	−0.292384	−	1.28102i	0.588813	−	0.808269i	$-0.299595\pi$
$788$	1.54099	−	1.93234i	0.0548955	−	0.0688367i
$789$	30.3977	+	38.1175i	1.08219	+	1.35702i
$790$	0.628719	−	2.75460i	0.0223688	−	0.0980042i
$791$	−8.35534	−	4.02372i	−0.297082	−	0.143067i
$792$	−9.19115	−	4.42623i	−0.326593	−	0.157279i
$793$	0.238233	+	1.04376i	0.00845989	+	0.0370652i
$794$	−13.2861	+	6.39822i	−0.471504	+	0.227064i
$795$	25.0783			0.889435
$796$	3.74209	−	1.80210i	0.132635	−	0.0638736i
$797$	−8.24244	−	10.3357i	−0.291962	−	0.366109i	0.614119	−	0.789214i	$-0.289512\pi$
$797$	−8.24244	−	10.3357i	−0.291962	−	0.366109i	−0.906081	+	0.423105i	$0.860940\pi$
$798$	−7.93787	−	9.95377i	−0.280997	−	0.352360i
$799$	21.7748	−	10.4862i	0.770337	−	0.370975i
$800$	−1.17554			−0.0415617
$801$	30.0224	−	14.4580i	1.06079	−	0.510850i
$802$	1.68838	+	7.39727i	0.0596187	+	0.261207i
$803$	−5.59586	−	2.69483i	−0.197474	−	0.0950984i
$804$	−1.05914	−	0.510054i	−0.0373529	−	0.0179882i
$805$	0.952894	−	4.17490i	0.0335851	−	0.147146i
$806$	0.213672	+	0.267937i	0.00752629	+	0.00943766i
$807$	−21.5181	+	26.9828i	−0.757471	+	0.949839i
$808$	4.22570	+	18.5140i	0.148660	+	0.651320i
$809$	−1.13832	+	4.98730i	−0.0400211	+	0.175344i	−0.990988	−	0.133947i	$-0.957235\pi$
$809$	−1.13832	+	4.98730i	−0.0400211	+	0.175344i	0.950967	+	0.309291i	$0.100092\pi$
$810$	9.93341	−	12.4561i	0.349025	−	0.437663i
$811$	−21.2768			−0.747128			−0.373564	−	0.927604i	$-0.621864\pi$
$811$	−21.2768			−0.747128			−0.373564	+	0.927604i	$0.621864\pi$
$812$	−0.561718	+	0.531197i	−0.0197124	+	0.0186414i
$813$	−8.19724			−0.287490
$814$	17.4452	−	21.8756i	0.611454	−	0.766739i
$815$	−2.27219	+	9.95511i	−0.0795913	+	0.348712i
$816$	−7.44037	−	32.5984i	−0.260465	−	1.14117i
$817$	2.86542	−	3.59313i	0.100248	−	0.125708i
$818$	−7.52640	−	9.43781i	−0.263154	−	0.329985i
$819$	0.0346194	−	0.151678i	0.00120970	−	0.00530005i
$820$	−0.367743	−	0.177096i	−0.0128421	−	0.00618445i
$821$	−28.4883	−	13.7193i	−0.994249	−	0.478805i	−0.135266	−	0.990809i	$-0.543189\pi$
$821$	−28.4883	−	13.7193i	−0.994249	−	0.478805i	−0.858983	+	0.512004i	$0.828903\pi$
$822$	−8.63244	−	37.8212i	−0.301091	−	1.31917i
$823$	−23.4660	+	11.3006i	−0.817973	+	0.393915i	−0.795591	−	0.605834i	$-0.792839\pi$
$823$	−23.4660	+	11.3006i	−0.817973	+	0.393915i	−0.0223824	+	0.999749i	$0.507125\pi$
$824$	−27.7031			−0.965083
$825$	3.54329	−	1.70636i	0.123362	−	0.0594078i
$826$	2.38405	+	2.98950i	0.0829517	+	0.104018i
$827$	−7.65841	−	9.60334i	−0.266309	−	0.333941i	0.630640	−	0.776076i	$-0.282793\pi$
$827$	−7.65841	−	9.60334i	−0.266309	−	0.333941i	−0.896949	+	0.442135i	$0.854221\pi$
$828$	2.60603	−	1.25500i	0.0905657	−	0.0436142i
$829$	−17.6987			−0.614702			−0.307351	−	0.951596i	$-0.599443\pi$
$829$	−17.6987			−0.614702			−0.307351	+	0.951596i	$0.599443\pi$
$830$	13.1315	−	6.32380i	0.455802	−	0.219502i
$831$	1.62548	+	7.12169i	0.0563873	+	0.247049i
$832$	−0.640100	−	0.308256i	−0.0221915	−	0.0106869i
$833$	−19.6608	−	9.46815i	−0.681207	−	0.328052i
$834$	11.6682	−	51.1216i	0.404035	−	1.77019i
$835$	−9.61498	−	12.0568i	−0.332740	−	0.417243i
$836$	−1.21826	+	1.52765i	−0.0421345	+	0.0528350i
$837$	0.892702	+	3.91118i	0.0308563	+	0.135190i
$838$	1.57794	−	6.91341i	0.0545091	−	0.238820i
$839$	−29.0770	+	36.4614i	−1.00385	+	1.25879i	−0.0381096	+	0.999274i	$0.512134\pi$
$839$	−29.0770	+	36.4614i	−1.00385	+	1.25879i	−0.965740	+	0.259513i	$0.916438\pi$
$840$	−4.18858			−0.144520
$841$	1.61847	−	28.9548i	0.0558093	−	0.998441i
$842$	54.9601			1.89405
$843$	27.5354	−	34.5283i	0.948370	−	1.18922i
$844$	−0.614643	+	2.69293i	−0.0211569	+	0.0926944i
$845$	−2.89048	−	12.6640i	−0.0994355	−	0.435656i
$846$	14.9210	−	18.7104i	0.512996	−	0.643277i
$847$	3.45005	+	4.32623i	0.118545	+	0.148651i
$848$	−10.6749	+	46.7696i	−0.366576	+	1.60607i
$849$	48.2677	+	23.2445i	1.65654	+	0.797749i
$850$	4.47696	+	2.15599i	0.153558	+	0.0739498i
$851$	−15.1576	−	66.4098i	−0.519596	−	2.27650i
$852$	0.0508202	−	0.0244737i	0.00174107	−	0.000838456i
$853$	−42.5471			−1.45678			−0.728392	−	0.685161i	$-0.759732\pi$
$853$	−42.5471			−1.45678			−0.728392	+	0.685161i	$0.759732\pi$
$854$	−9.71964	+	4.68073i	−0.332599	+	0.160171i
$855$	−7.56306	−	9.48378i	−0.258651	−	0.324338i
$856$	−26.3564	−	33.0499i	−0.900845	−	1.12962i
$857$	4.34355	−	2.09174i	0.148373	−	0.0714526i	−0.358224	−	0.933636i	$-0.616618\pi$
$857$	4.34355	−	2.09174i	0.148373	−	0.0714526i	0.506597	+	0.862183i	$0.330903\pi$
$858$	−0.593160			−0.0202501
$859$	−42.7451	+	20.5850i	−1.45844	+	0.702350i	−0.984038	−	0.177956i	$-0.943052\pi$
$859$	−42.7451	+	20.5850i	−1.45844	+	0.702350i	−0.474406	+	0.880306i	$0.657337\pi$
$860$	0.0391849	+	0.171680i	0.00133619	+	0.00585425i
$861$	−2.77322	−	1.33551i	−0.0945110	−	0.0455141i
$862$	−33.9429	−	16.3460i	−1.15610	−	0.556748i
$863$	4.29757	−	18.8289i	0.146291	−	0.640943i	−0.847605	−	0.530627i	$-0.821956\pi$
$863$	4.29757	−	18.8289i	0.146291	−	0.640943i	0.993897	−	0.110316i	$-0.0351864\pi$
$864$	1.29407	+	1.62272i	0.0440252	+	0.0552059i
$865$	−8.25799	+	10.3552i	−0.280780	+	0.352087i
$866$	0.307201	+	1.34593i	0.0104391	+	0.0457367i
$867$	2.96134	−	12.9745i	0.100573	−	0.440637i
$868$	−0.203384	+	0.255035i	−0.00690329	+	0.00865645i
$869$	−3.27011			−0.110931
$870$	−13.2953	+	12.5729i	−0.450753	+	0.426261i
$871$	0.250101			0.00847433
$872$	−14.8589	+	18.6325i	−0.503186	+	0.630976i
$873$	8.17743	−	35.8277i	0.276764	−	1.21258i
$874$	11.2057	+	49.0952i	0.379037	+	1.66067i
$875$	0.429033	−	0.537990i	0.0145039	−	0.0181874i
$876$	−1.07396	−	1.34671i	−0.0362858	−	0.0455010i
$877$	6.44520	−	28.2383i	0.217639	−	0.953539i	−0.741578	−	0.670867i	$-0.765922\pi$
$877$	6.44520	−	28.2383i	0.217639	−	0.953539i	0.959217	−	0.282672i	$-0.0912208\pi$
$878$	13.7651	+	6.62891i	0.464548	+	0.223715i
$879$	−64.4359	−	31.0307i	−2.17337	−	1.04664i
$880$	1.67402	+	7.33438i	0.0564313	+	0.247242i
$881$	20.8930	−	10.0615i	0.703902	−	0.338982i	−0.0474583	−	0.998873i	$-0.515112\pi$
$881$	20.8930	−	10.0615i	0.703902	−	0.338982i	0.751361	+	0.659892i	$0.229398\pi$
$882$	−21.6081			−0.727584
$883$	−15.7901	+	7.60409i	−0.531378	+	0.255898i	−0.680278	−	0.732954i	$-0.738141\pi$
$883$	−15.7901	+	7.60409i	−0.531378	+	0.255898i	0.148900	+	0.988852i	$0.452427\pi$
$884$	−0.0441402	−	0.0553501i	−0.00148460	−	0.00186162i
$885$	5.33030	+	6.68399i	0.179176	+	0.224680i
$886$	14.1752	−	6.82643i	0.476226	−	0.229338i
$887$	11.4300			0.383781			0.191891	−	0.981416i	$-0.438538\pi$
$887$	11.4300			0.383781			0.191891	+	0.981416i	$0.438538\pi$
$888$	−60.0292	+	28.9085i	−2.01445	+	0.970107i
$889$	−1.33458	−	5.84718i	−0.0447604	−	0.196108i
$890$	−20.0277	−	9.64485i	−0.671331	−	0.323296i
$891$	−16.6133	−	8.00053i	−0.556566	−	0.268028i
$892$	−0.634719	+	2.78089i	−0.0212520	+	0.0931110i
$893$	24.5389	+	30.7708i	0.821162	+	1.02970i
$894$	34.2258	−	42.9178i	1.14468	−	1.43538i
$895$	−3.86566	−	16.9366i	−0.129215	−	0.566127i
$896$	1.95301	−	8.55670i	0.0652455	−	0.285859i
$897$	−0.900355	+	1.12901i	−0.0300620	+	0.0376965i
$898$	24.4583			0.816183
$899$	−1.03005	−	12.1927i	−0.0343540	−	0.406649i
$900$	0.464790			0.0154930
$901$	22.8654	−	28.6724i	0.761758	−	0.955215i
$902$	−1.11282	+	4.87558i	−0.0370528	+	0.162339i
$903$	0.295500	+	1.29467i	0.00983364	+	0.0430840i
$904$	22.3702	−	28.0513i	0.744021	−	0.932973i
$905$	6.89432	+	8.64521i	0.229175	+	0.287376i
$906$	−1.49235	+	6.53841i	−0.0495800	+	0.217224i
$907$	−53.5930	−	25.8090i	−1.77953	−	0.856975i	−0.957981	−	0.286832i	$-0.907398\pi$
$907$	−53.5930	−	25.8090i	−1.77953	−	0.856975i	−0.821545	−	0.570143i	$-0.806888\pi$
$908$	−4.59354	−	2.21213i	−0.152442	−	0.0734123i
$909$	−3.53613	−	15.4928i	−0.117286	−	0.513863i
$910$	−0.0935072	+	0.0450307i	−0.00309973	+	0.00149275i
$911$	−47.7579			−1.58229			−0.791144	−	0.611630i	$-0.790514\pi$
$911$	−47.7579			−1.58229			−0.791144	+	0.611630i	$0.790514\pi$
$912$	49.0585	−	23.6253i	1.62449	−	0.782313i
$913$	−10.5175	−	13.1885i	−0.348077	−	0.436475i
$914$	19.8338	+	24.8708i	0.656043	+	0.822652i
$915$	−21.7314	+	10.4653i	−0.718416	+	0.345971i
$916$	−3.73443			−0.123389
$917$	8.52979	−	4.10773i	0.281678	−	0.135649i
$918$	−1.95225	−	8.55336i	−0.0644338	−	0.282303i
$919$	23.8121	+	11.4673i	0.785489	+	0.378272i	0.783235	−	0.621726i	$-0.213568\pi$
$919$	23.8121	+	11.4673i	0.785489	+	0.378272i	0.00225413	+	0.999997i	$0.499282\pi$
$920$	14.9269	+	7.18841i	0.492125	+	0.236995i
$921$	−4.16004	+	18.2263i	−0.137078	+	0.600578i
$922$	−11.9491	−	14.9837i	−0.393523	−	0.493463i
$923$	−0.00748218	+	0.00938236i	−0.000246279	+	0.000308824i
$924$	−0.125635	−	0.550442i	−0.00413308	−	0.0181082i
$925$	2.43567	−	10.6714i	0.0800842	−	0.350872i
$926$	−12.6038	+	15.8047i	−0.414188	+	0.519375i
$927$	23.1823			0.761408
$928$	−3.21708	−	5.45211i	−0.105606	−	0.178974i
$929$	−28.8099			−0.945224			−0.472612	−	0.881271i	$-0.656689\pi$
$929$	−28.8099			−0.945224			−0.472612	+	0.881271i	$0.656689\pi$
$930$	−4.81388	+	6.03641i	−0.157853	+	0.197942i
$931$	7.90758	−	34.6454i	0.259160	−	1.13546i
$932$	−0.104186	−	0.456469i	−0.00341273	−	0.0149521i
$933$	−39.8419	+	49.9601i	−1.30436	+	1.63562i
$934$	15.8408	+	19.8638i	0.518328	+	0.649962i
$935$	1.27974	−	5.60689i	0.0418519	−	0.183365i
$936$	0.542306	+	0.261161i	0.0177258	+	0.00853631i
$937$	6.16289	+	2.96789i	0.201333	+	0.0969568i	0.531833	−	0.846849i	$-0.321503\pi$
$937$	6.16289	+	2.96789i	0.201333	+	0.0969568i	−0.330501	+	0.943806i	$0.607218\pi$
$938$	0.560784	+	2.45696i	0.0183102	+	0.0802224i
$939$	34.9172	−	16.8152i	1.13948	−	0.548744i
$940$	−1.50804			−0.0491869
$941$	−5.53163	+	2.66389i	−0.180326	+	0.0868405i	−0.521869	−	0.853026i	$-0.674765\pi$
$941$	−5.53163	+	2.66389i	−0.180326	+	0.0868405i	0.341543	+	0.939866i	$0.389051\pi$
$942$	44.2041	+	55.4302i	1.44025	+	1.80601i
$943$	7.59095	+	9.51875i	0.247195	+	0.309973i
$944$	−14.7342	+	7.09560i	−0.479556	+	0.230942i
$945$	−1.21493			−0.0395217
$946$	1.94391	−	0.936138i	0.0632020	−	0.0304365i
$947$	3.12989	+	13.7129i	0.101708	+	0.445611i	0.999981	+	0.00617336i	$0.00196506\pi$
$947$	3.12989	+	13.7129i	0.101708	+	0.445611i	−0.898273	+	0.439437i	$0.855178\pi$
$948$	−0.817098	−	0.393494i	−0.0265381	−	0.0127801i
$949$	0.330173	+	0.159003i	0.0107179	+	0.00516146i
$950$	−1.80063	+	7.88909i	−0.0584202	+	0.255956i
$951$	−0.849079	−	1.06471i	−0.0275333	−	0.0345257i
$952$	−3.81899	+	4.78886i	−0.123774	+	0.155208i
$953$	−3.51423	−	15.3969i	−0.113837	−	0.498753i	−0.999413	−	0.0342584i	$-0.989093\pi$
$953$	−3.51423	−	15.3969i	−0.113837	−	0.498753i	0.885576	−	0.464495i	$-0.153764\pi$
$954$	8.08066	−	35.4037i	0.261621	−	1.14624i
$955$	−10.0909	+	12.6536i	−0.326533	+	0.409459i
$956$	4.10922			0.132902
$957$	17.6109	+	11.7639i	0.569278	+	0.380272i
$958$	−4.80122			−0.155120
$959$	−4.89815	+	6.14208i	−0.158169	+	0.198338i
$960$	3.56169	−	15.6048i	0.114953	−	0.503642i
$961$	5.74931	+	25.1894i	0.185462	+	0.812560i
$962$	−1.02932	+	1.29073i	−0.0331866	+	0.0416147i
$963$	22.0555	+	27.6567i	0.710727	+	0.891224i
$964$	0.819236	−	3.58931i	0.0263858	−	0.115604i
$965$	2.40388	+	1.15765i	0.0773836	+	0.0372660i
$966$	−13.1101	−	6.31347i	−0.421809	−	0.203133i
$967$	2.45880	+	10.7727i	0.0790697	+	0.346427i	0.998952	−	0.0457672i	$-0.0145732\pi$
$967$	2.45880	+	10.7727i	0.0790697	+	0.346427i	−0.919882	+	0.392194i	$0.871716\pi$
$968$	−19.2882	+	9.28871i	−0.619946	+	0.298550i
$969$	−41.6259			−1.33722
$970$	−22.0873	+	10.6367i	−0.709179	+	0.341523i
$971$	10.8494	+	13.6047i	0.348173	+	0.436595i	0.924824	−	0.380395i	$-0.124212\pi$
$971$	10.8494	+	13.6047i	0.348173	+	0.436595i	−0.576651	+	0.816991i	$0.695641\pi$
$972$	−2.49943	−	3.13418i	−0.0801691	−	0.100529i
$973$	−9.56712	+	4.60728i	−0.306708	+	0.147703i
$974$	28.2039			0.903713
$975$	−0.209065	+	0.100680i	−0.00669544	+	0.00322436i
$976$	−10.2669	−	44.9824i	−0.328637	−	1.43985i
$977$	15.4040	+	7.41816i	0.492817	+	0.237328i	0.663750	−	0.747955i	$-0.268964\pi$
$977$	15.4040	+	7.41816i	0.492817	+	0.237328i	−0.170933	+	0.985283i	$0.554678\pi$
$978$	31.2611	+	15.0546i	0.999620	+	0.481392i
$979$	−5.72492	+	25.0825i	−0.182969	+	0.801640i
$980$	0.848966	+	1.06457i	0.0271192	+	0.0340064i
$981$	12.4342	−	15.5919i	0.396992	−	0.497812i
$982$	4.48031	+	19.6295i	0.142973	+	0.626404i
$983$	−1.51326	+	6.63000i	−0.0482653	+	0.211464i	−0.993310	−	0.115476i	$-0.963161\pi$
$983$	−1.51326	+	6.63000i	−0.0482653	+	0.211464i	0.945045	+	0.326941i	$0.106018\pi$
$984$	7.42487	−	9.31050i	0.236696	−	0.296808i
$985$	−11.8465			−0.377460
$986$	2.25261	+	26.6642i	0.0717376	+	0.849160i
$987$	−11.3724			−0.361988
$988$	0.0718812	−	0.0901362i	0.00228685	−	0.00286761i
$989$	1.16883	−	5.12097i	0.0371666	−	0.162837i
$990$	−1.26720	−	5.55198i	−0.0402744	−	0.176453i
$991$	−8.11440	+	10.1751i	−0.257762	+	0.323224i	−0.893827	−	0.448412i	$-0.851990\pi$
$991$	−8.11440	+	10.1751i	−0.257762	+	0.323224i	0.636065	+	0.771636i	$0.280561\pi$
$992$	−1.66538	−	2.08832i	−0.0528758	−	0.0663041i
$993$	−2.17449	+	9.52708i	−0.0690055	+	0.302333i
$994$	−0.108948	−	0.0524665i	−0.00345562	−	0.00166414i
$995$	−17.9363	−	8.63768i	−0.568620	−	0.273833i
$996$	−1.04101	−	4.56096i	−0.0329856	−	0.144519i
$997$	29.5086	−	14.2106i	0.934546	−	0.450053i	0.0963037	−	0.995352i	$-0.469298\pi$
$997$	29.5086	−	14.2106i	0.934546	−	0.450053i	0.838242	+	0.545299i	$0.183584\pi$
$998$	−62.8996			−1.99105
$999$	−17.4119	+	8.38515i	−0.550890	+	0.265294i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	145.2.k.a.81.4	✓	24
5.2	odd	4		725.2.r.c.574.7		48
5.3	odd	4		725.2.r.c.574.2		48
5.4	even	2		725.2.l.d.226.1		24
29.13	even	14		4205.2.a.r.1.3		12
29.16	even	7		4205.2.a.q.1.10		12
29.24	even	7	inner	145.2.k.a.111.4	yes	24
145.24	even	14		725.2.l.d.401.1		24
145.53	odd	28		725.2.r.c.24.7		48
145.82	odd	28		725.2.r.c.24.2		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
145.2.k.a.81.4	✓	24	1.1	even	1	trivial
145.2.k.a.111.4	yes	24	29.24	even	7	inner
725.2.l.d.226.1		24	5.4	even	2
725.2.l.d.401.1		24	145.24	even	14
725.2.r.c.24.2		48	145.82	odd	28
725.2.r.c.24.7		48	145.53	odd	28
725.2.r.c.574.2		48	5.3	odd	4
725.2.r.c.574.7		48	5.2	odd	4
4205.2.a.q.1.10		12	29.16	even	7
4205.2.a.r.1.3		12	29.13	even	14

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:	\( N \)	\(=\)	\( 145 = 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	145.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.926597 - 1.16192i) q^{2} +(-0.508780 + 2.22911i) q^{3} +(-0.0464250 - 0.203401i) q^{4} +(-0.623490 + 0.781831i) q^{5} +(2.11861 + 2.65665i) q^{6} +(0.153120 - 0.670862i) q^{7} +(2.39859 + 1.15510i) q^{8} +(-2.00718 - 0.966605i) q^{9} +O(q^{10})\)	\(q+(0.926597 - 1.16192i) q^{2} +(-0.508780 + 2.22911i) q^{3} +(-0.0464250 - 0.203401i) q^{4} +(-0.623490 + 0.781831i) q^{5} +(2.11861 + 2.65665i) q^{6} +(0.153120 - 0.670862i) q^{7} +(2.39859 + 1.15510i) q^{8} +(-2.00718 - 0.966605i) q^{9} +(0.330699 + 1.44889i) q^{10} +(1.54970 - 0.746297i) q^{11} +0.477024 q^{12} +(-0.0914371 + 0.0440338i) q^{13} +(-0.637605 - 0.799532i) q^{14} +(-1.42557 - 1.78761i) q^{15} +(3.94060 - 1.89769i) q^{16} -3.34358 q^{17} +(-2.98296 + 1.43652i) q^{18} +(-1.21161 - 5.30842i) q^{19} +(0.187971 + 0.0905220i) q^{20} +(1.41752 + 0.682643i) q^{21} +(0.568814 - 2.49214i) q^{22} +(-3.88009 - 4.86548i) q^{23} +(-3.79520 + 4.75904i) q^{24} +(-0.222521 - 0.974928i) q^{25} +(-0.0335618 + 0.147044i) q^{26} +(-1.10083 + 1.38040i) q^{27} -0.143563 q^{28} +(3.91270 - 3.70010i) q^{29} -3.39798 q^{30} +(1.41669 - 1.77647i) q^{31} +(0.261583 - 1.14607i) q^{32} +(0.875121 + 3.83416i) q^{33} +(-3.09815 + 3.88496i) q^{34} +(0.429033 + 0.537990i) q^{35} +(-0.103425 + 0.453136i) q^{36} +(9.86181 + 4.74920i) q^{37} +(-7.29061 - 3.51097i) q^{38} +(-0.0516348 - 0.226227i) q^{39} +(-2.39859 + 1.15510i) q^{40} -1.95638 q^{41} +(2.10665 - 1.01451i) q^{42} +(0.526255 + 0.659903i) q^{43} +(-0.223742 - 0.280564i) q^{44} +(2.00718 - 0.966605i) q^{45} -9.24857 q^{46} +(-6.51242 + 3.13622i) q^{47} +(2.22527 + 9.74955i) q^{48} +(5.88017 + 2.83174i) q^{49} +(-1.33897 - 0.644815i) q^{50} +(1.70115 - 7.45321i) q^{51} +(0.0132015 + 0.0165541i) q^{52} +(-6.83861 + 8.57535i) q^{53} +(0.583880 + 2.55814i) q^{54} +(-0.382744 + 1.67691i) q^{55} +(1.14219 - 1.43226i) q^{56} +12.4495 q^{57} +(-0.673711 - 7.97474i) q^{58} -3.73907 q^{59} +(-0.297420 + 0.372952i) q^{60} +(2.34741 - 10.2847i) q^{61} +(-0.751410 - 3.29214i) q^{62} +(-0.955797 + 1.19853i) q^{63} +(4.36471 + 5.47317i) q^{64} +(0.0225831 - 0.0989430i) q^{65} +(5.26585 + 2.53590i) q^{66} +(-2.22030 - 1.06924i) q^{67} +(0.155226 + 0.680088i) q^{68} +(12.8198 - 6.17370i) q^{69} +1.02264 q^{70} +(0.106536 - 0.0513050i) q^{71} +(-3.69787 - 4.63698i) q^{72} +(-2.25138 - 2.82314i) q^{73} +(14.6561 - 7.05800i) q^{74} +2.28644 q^{75} +(-1.02349 + 0.492886i) q^{76} +(-0.263372 - 1.15391i) q^{77} +(-0.310702 - 0.149626i) q^{78} +(-1.71291 - 0.824892i) q^{79} +(-0.973248 + 4.26408i) q^{80} +(-6.68400 - 8.38148i) q^{81} +(-1.81278 + 2.27315i) q^{82} +(-2.18230 - 9.56128i) q^{83} +(0.0730419 - 0.320017i) q^{84} +(2.08469 - 2.61412i) q^{85} +1.25438 q^{86} +(6.25724 + 10.6044i) q^{87} +4.57915 q^{88} +(-9.32588 + 11.6943i) q^{89} +(0.736730 - 3.22782i) q^{90} +(0.0155398 + 0.0680841i) q^{91} +(-0.809511 + 1.01510i) q^{92} +(3.23917 + 4.06179i) q^{93} +(-2.39037 + 10.4729i) q^{94} +(4.90571 + 2.36247i) q^{95} +(2.42163 + 1.16620i) q^{96} +(3.67064 + 16.0821i) q^{97} +(8.73880 - 4.20838i) q^{98} -3.83190 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 2 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{7} + 9 q^{8}+O(q^{10}) \) 24 * q - 2 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^7 + 9 * q^8	\( 24 q - 2 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{7} + 9 q^{8} - 5 q^{10} + 12 q^{11} + 2 q^{12} + 4 q^{13} - 32 q^{14} - 2 q^{15} + 10 q^{16} - 40 q^{17} + 10 q^{18} + 2 q^{19} - 3 q^{20} - 35 q^{21} + 13 q^{22} + 12 q^{23} - 22 q^{24} - 4 q^{25} - 8 q^{26} - 13 q^{27} + 20 q^{28} + 5 q^{29} + 18 q^{30} - 7 q^{31} + 22 q^{32} - 12 q^{33} + 12 q^{34} - 4 q^{35} - 16 q^{36} - 14 q^{37} + 14 q^{38} - 9 q^{39} - 9 q^{40} + 8 q^{41} + 19 q^{42} - 47 q^{43} + 17 q^{44} - 48 q^{46} + 22 q^{47} + 31 q^{48} - 10 q^{49} - 2 q^{50} + 34 q^{51} + 13 q^{52} - 53 q^{53} + 23 q^{54} + 16 q^{55} + 10 q^{56} + 20 q^{57} + 10 q^{58} - 38 q^{59} - 23 q^{60} - 19 q^{62} + 11 q^{63} + 37 q^{64} + 3 q^{65} + 2 q^{66} + 43 q^{67} - 50 q^{68} + 48 q^{69} - 10 q^{70} - 61 q^{71} - 37 q^{72} + 24 q^{73} + 109 q^{74} + 2 q^{75} + 24 q^{76} + 41 q^{77} - 42 q^{78} + 2 q^{79} + 4 q^{80} - 15 q^{81} - 40 q^{82} + 37 q^{83} - 6 q^{84} - 2 q^{85} - 18 q^{86} + 9 q^{87} - 20 q^{88} + 16 q^{89} + 18 q^{90} - q^{91} + 29 q^{92} - 26 q^{93} - 54 q^{94} - 2 q^{95} + 15 q^{96} - 57 q^{97} - 26 q^{98} + 88 q^{99}+O(q^{100}) \) 24 * q - 2 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^7 + 9 * q^8 - 5 * q^10 + 12 * q^11 + 2 * q^12 + 4 * q^13 - 32 * q^14 - 2 * q^15 + 10 * q^16 - 40 * q^17 + 10 * q^18 + 2 * q^19 - 3 * q^20 - 35 * q^21 + 13 * q^22 + 12 * q^23 - 22 * q^24 - 4 * q^25 - 8 * q^26 - 13 * q^27 + 20 * q^28 + 5 * q^29 + 18 * q^30 - 7 * q^31 + 22 * q^32 - 12 * q^33 + 12 * q^34 - 4 * q^35 - 16 * q^36 - 14 * q^37 + 14 * q^38 - 9 * q^39 - 9 * q^40 + 8 * q^41 + 19 * q^42 - 47 * q^43 + 17 * q^44 - 48 * q^46 + 22 * q^47 + 31 * q^48 - 10 * q^49 - 2 * q^50 + 34 * q^51 + 13 * q^52 - 53 * q^53 + 23 * q^54 + 16 * q^55 + 10 * q^56 + 20 * q^57 + 10 * q^58 - 38 * q^59 - 23 * q^60 - 19 * q^62 + 11 * q^63 + 37 * q^64 + 3 * q^65 + 2 * q^66 + 43 * q^67 - 50 * q^68 + 48 * q^69 - 10 * q^70 - 61 * q^71 - 37 * q^72 + 24 * q^73 + 109 * q^74 + 2 * q^75 + 24 * q^76 + 41 * q^77 - 42 * q^78 + 2 * q^79 + 4 * q^80 - 15 * q^81 - 40 * q^82 + 37 * q^83 - 6 * q^84 - 2 * q^85 - 18 * q^86 + 9 * q^87 - 20 * q^88 + 16 * q^89 + 18 * q^90 - q^91 + 29 * q^92 - 26 * q^93 - 54 * q^94 - 2 * q^95 + 15 * q^96 - 57 * q^97 - 26 * q^98 + 88 * q^99

Introduction

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