LMFDB - Embedded newform 430.2.k.c.11.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(11,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 10]))

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

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.k (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 5 x^{17} + 20 x^{16} - 61 x^{15} + 142 x^{14} - 195 x^{13} + 244 x^{12} + 320 x^{11} + \cdots + 49 $ x^18 - 5x^17 + 20x^16 - 61x^15 + 142x^14 - 195x^13 + 244x^12 + 320x^11 + 64x^10 - 562x^9 + 4114x^8 - 1933x^7 + 2941x^6 - 2555x^5 + 2807x^4 - 2366x^3 + 1225x^2 - 343*x + 49
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			11.1
Root			$-0.583263 + 0.731388i$ of defining polynomial
Character	$\chi$	$=$	430.11
Dual form			430.2.k.c.391.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.623490 - 0.781831i) q^{2} +(-0.583263 + 0.731388i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(-0.900969 + 0.433884i) q^{5} +0.935481 q^{6} +2.01178 q^{7} +(0.900969 - 0.433884i) q^{8} +(0.472829 + 2.07160i) q^{9} +O(q^{10})$	\(q+(-0.623490 - 0.781831i) q^{2} +(-0.583263 + 0.731388i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(-0.900969 + 0.433884i) q^{5} +0.935481 q^{6} +2.01178 q^{7} +(0.900969 - 0.433884i) q^{8} +(0.472829 + 2.07160i) q^{9} +(0.900969 + 0.433884i) q^{10} +(-0.717840 - 3.14506i) q^{11} +(-0.583263 - 0.731388i) q^{12} +(-4.49707 + 2.16568i) q^{13} +(-1.25433 - 1.57287i) q^{14} +(0.208164 - 0.912026i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-0.0803994 - 0.0387183i) q^{17} +(1.32484 - 1.66130i) q^{18} +(-1.60998 + 7.05377i) q^{19} +(-0.222521 - 0.974928i) q^{20} +(-1.17340 + 1.47139i) q^{21} +(-2.01134 + 2.52214i) q^{22} +(0.858120 + 3.75967i) q^{23} +(-0.208164 + 0.912026i) q^{24} +(0.623490 - 0.781831i) q^{25} +(4.49707 + 2.16568i) q^{26} +(-4.31944 - 2.08013i) q^{27} +(-0.447664 + 1.96134i) q^{28} +(3.80397 + 4.77003i) q^{29} +(-0.842839 + 0.405890i) q^{30} +(4.73205 + 5.93380i) q^{31} +(0.222521 + 0.974928i) q^{32} +(2.71895 + 1.30938i) q^{33} +(0.0198570 + 0.0869992i) q^{34} +(-1.81255 + 0.872880i) q^{35} -2.12488 q^{36} -9.33309 q^{37} +(6.51867 - 3.13923i) q^{38} +(1.03902 - 4.55226i) q^{39} +(-0.623490 + 0.781831i) q^{40} +(3.08442 + 3.86774i) q^{41} +1.88198 q^{42} +(-2.39367 + 6.10494i) q^{43} +3.22594 q^{44} +(-1.32484 - 1.66130i) q^{45} +(2.40440 - 3.01502i) q^{46} +(1.86968 - 8.19162i) q^{47} +(0.842839 - 0.405890i) q^{48} -2.95273 q^{49} -1.00000 q^{50} +(0.0752121 - 0.0362202i) q^{51} +(-1.11069 - 4.86623i) q^{52} +(-5.38436 - 2.59297i) q^{53} +(1.06681 + 4.67402i) q^{54} +(2.01134 + 2.52214i) q^{55} +(1.81255 - 0.872880i) q^{56} +(-4.22001 - 5.29172i) q^{57} +(1.35762 - 5.94813i) q^{58} +(3.61995 + 1.74327i) q^{59} +(0.842839 + 0.405890i) q^{60} +(9.46297 - 11.8662i) q^{61} +(1.68885 - 7.39933i) q^{62} +(0.951230 + 4.16761i) q^{63} +(0.623490 - 0.781831i) q^{64} +(3.11207 - 3.90241i) q^{65} +(-0.671525 - 2.94214i) q^{66} +(-2.34363 + 10.2681i) q^{67} +(0.0556381 - 0.0697680i) q^{68} +(-3.25029 - 1.56526i) q^{69} +(1.81255 + 0.872880i) q^{70} +(-2.93038 + 12.8388i) q^{71} +(1.32484 + 1.66130i) q^{72} +(10.4917 - 5.05256i) q^{73} +(5.81909 + 7.29691i) q^{74} +(0.208164 + 0.912026i) q^{75} +(-6.51867 - 3.13923i) q^{76} +(-1.44414 - 6.32718i) q^{77} +(-4.20692 + 2.02595i) q^{78} -10.3765 q^{79} +1.00000 q^{80} +(-1.70259 + 0.819922i) q^{81} +(1.10082 - 4.82300i) q^{82} +(4.96432 - 6.22506i) q^{83} +(-1.17340 - 1.47139i) q^{84} +0.0892366 q^{85} +(6.26547 - 1.93492i) q^{86} -5.70746 q^{87} +(-2.01134 - 2.52214i) q^{88} +(7.38549 - 9.26111i) q^{89} +(-0.472829 + 2.07160i) q^{90} +(-9.04713 + 4.35687i) q^{91} -3.85636 q^{92} -7.09994 q^{93} +(-7.57020 + 3.64561i) q^{94} +(-1.60998 - 7.05377i) q^{95} +(-0.842839 - 0.405890i) q^{96} +(-2.64947 - 11.6081i) q^{97} +(1.84100 + 2.30854i) q^{98} +(6.17590 - 2.97416i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) $ 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9} + 3 q^{10} + 5 q^{11} + 5 q^{12} + 22 q^{13} - 8 q^{14} - 2 q^{15} - 3 q^{16} + q^{17} + 13 q^{18} - 7 q^{19} - 3 q^{20} + 10 q^{21} - 5 q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 22 q^{26} + 20 q^{27} + q^{28} - 6 q^{29} + 2 q^{30} - 5 q^{31} + 3 q^{32} + 39 q^{33} - q^{34} - 13 q^{35} + 8 q^{36} - 18 q^{37} - 7 q^{39} + 3 q^{40} + 16 q^{41} + 4 q^{42} - 13 q^{43} - 2 q^{44} - 13 q^{45} - 8 q^{46} - 36 q^{47} - 2 q^{48} - 14 q^{49} - 18 q^{50} - 30 q^{51} - 20 q^{52} - 18 q^{53} + 29 q^{54} + 5 q^{55} + 13 q^{56} + 29 q^{57} - 8 q^{58} - 4 q^{59} - 2 q^{60} + 42 q^{61} - 2 q^{62} - 29 q^{63} - 3 q^{64} + 8 q^{65} + 24 q^{66} - 19 q^{67} + q^{68} - 51 q^{69} + 13 q^{70} - 27 q^{71} + 13 q^{72} + 28 q^{73} + 4 q^{74} - 2 q^{75} + 42 q^{77} - 35 q^{78} - 26 q^{79} + 18 q^{80} - 4 q^{81} + 19 q^{82} + 62 q^{83} + 10 q^{84} - 6 q^{85} - 15 q^{86} - 66 q^{87} - 5 q^{88} - 12 q^{89} + 6 q^{90} - 22 q^{91} - 20 q^{92} - 6 q^{93} - 6 q^{94} - 7 q^{95} + 2 q^{96} + 71 q^{97} - 28 q^{98} + 59 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9 + 3 * q^10 + 5 * q^11 + 5 * q^12 + 22 * q^13 - 8 * q^14 - 2 * q^15 - 3 * q^16 + q^17 + 13 * q^18 - 7 * q^19 - 3 * q^20 + 10 * q^21 - 5 * q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 22 * q^26 + 20 * q^27 + q^28 - 6 * q^29 + 2 * q^30 - 5 * q^31 + 3 * q^32 + 39 * q^33 - q^34 - 13 * q^35 + 8 * q^36 - 18 * q^37 - 7 * q^39 + 3 * q^40 + 16 * q^41 + 4 * q^42 - 13 * q^43 - 2 * q^44 - 13 * q^45 - 8 * q^46 - 36 * q^47 - 2 * q^48 - 14 * q^49 - 18 * q^50 - 30 * q^51 - 20 * q^52 - 18 * q^53 + 29 * q^54 + 5 * q^55 + 13 * q^56 + 29 * q^57 - 8 * q^58 - 4 * q^59 - 2 * q^60 + 42 * q^61 - 2 * q^62 - 29 * q^63 - 3 * q^64 + 8 * q^65 + 24 * q^66 - 19 * q^67 + q^68 - 51 * q^69 + 13 * q^70 - 27 * q^71 + 13 * q^72 + 28 * q^73 + 4 * q^74 - 2 * q^75 + 42 * q^77 - 35 * q^78 - 26 * q^79 + 18 * q^80 - 4 * q^81 + 19 * q^82 + 62 * q^83 + 10 * q^84 - 6 * q^85 - 15 * q^86 - 66 * q^87 - 5 * q^88 - 12 * q^89 + 6 * q^90 - 22 * q^91 - 20 * q^92 - 6 * q^93 - 6 * q^94 - 7 * q^95 + 2 * q^96 + 71 * q^97 - 28 * q^98 + 59 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{5}{7}\right)$

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 $

$2$	−0.623490	−	0.781831i	−0.440874	−	0.552838i
$2$	−0.623490	−	0.781831i	−0.440874	−	0.552838i
$3$	−0.583263	+	0.731388i	−0.336747	+	0.422267i	−0.921157	−	0.389191i	$-0.872755\pi$
$3$	−0.583263	+	0.731388i	−0.336747	+	0.422267i	0.584410	+	0.811458i	$0.301326\pi$
$4$	−0.222521	+	0.974928i	−0.111260	+	0.487464i
$5$	−0.900969	+	0.433884i	−0.402926	+	0.194039i
$5$	−0.900969	+	0.433884i	−0.402926	+	0.194039i
$6$	0.935481			0.381908
$7$	2.01178			0.760382			0.380191	−	0.924908i	$-0.375858\pi$
$7$	2.01178			0.760382			0.380191	+	0.924908i	$0.375858\pi$
$8$	0.900969	−	0.433884i	0.318541	−	0.153401i
$9$	0.472829	+	2.07160i	0.157610	+	0.690534i
$10$	0.900969	+	0.433884i	0.284911	+	0.137206i
$11$	−0.717840	−	3.14506i	−0.216437	−	0.948272i	−0.960087	−	0.279703i	$-0.909764\pi$
$11$	−0.717840	−	3.14506i	−0.216437	−	0.948272i	0.743650	−	0.668569i	$-0.233093\pi$
$12$	−0.583263	−	0.731388i	−0.168373	−	0.211134i
$13$	−4.49707	+	2.16568i	−1.24726	+	0.600650i	−0.936777	−	0.349927i	$-0.886206\pi$
$13$	−4.49707	+	2.16568i	−1.24726	+	0.600650i	−0.310487	+	0.950578i	$0.600492\pi$
$14$	−1.25433	−	1.57287i	−0.335233	−	0.420368i
$15$	0.208164	−	0.912026i	0.0537477	−	0.235484i
$16$	−0.900969	−	0.433884i	−0.225242	−	0.108471i
$17$	−0.0803994	−	0.0387183i	−0.0194997	−	0.00939057i	0.424108	−	0.905611i	$-0.360588\pi$
$17$	−0.0803994	−	0.0387183i	−0.0194997	−	0.00939057i	−0.443608	+	0.896221i	$0.646302\pi$
$18$	1.32484	−	1.66130i	0.312267	−	0.391571i
$19$	−1.60998	+	7.05377i	−0.369354	+	1.61825i	0.359201	+	0.933260i	$0.383049\pi$
$19$	−1.60998	+	7.05377i	−0.369354	+	1.61825i	−0.728556	+	0.684987i	$0.759808\pi$
$20$	−0.222521	−	0.974928i	−0.0497572	−	0.218001i
$21$	−1.17340	+	1.47139i	−0.256056	+	0.321084i
$22$	−2.01134	+	2.52214i	−0.428820	+	0.537723i
$23$	0.858120	+	3.75967i	0.178930	+	0.783945i	0.982125	+	0.188229i	$0.0602746\pi$
$23$	0.858120	+	3.75967i	0.178930	+	0.783945i	−0.803195	+	0.595716i	$0.796868\pi$
$24$	−0.208164	+	0.912026i	−0.0424913	+	0.186167i
$25$	0.623490	−	0.781831i	0.124698	−	0.156366i
$26$	4.49707	+	2.16568i	0.881948	+	0.424724i
$27$	−4.31944	−	2.08013i	−0.831278	−	0.400322i
$28$	−0.447664	+	1.96134i	−0.0846005	+	0.370659i
$29$	3.80397	+	4.77003i	0.706380	+	0.885772i	0.997482	−	0.0709198i	$-0.0225935\pi$
$29$	3.80397	+	4.77003i	0.706380	+	0.885772i	−0.291102	+	0.956692i	$0.594022\pi$
$30$	−0.842839	+	0.405890i	−0.153881	+	0.0741050i
$31$	4.73205	+	5.93380i	0.849902	+	1.06574i	0.997060	+	0.0766298i	$0.0244160\pi$
$31$	4.73205	+	5.93380i	0.849902	+	1.06574i	−0.147158	+	0.989113i	$0.547013\pi$
$32$	0.222521	+	0.974928i	0.0393365	+	0.172345i
$33$	2.71895	+	1.30938i	0.473309	+	0.227933i
$34$	0.0198570	+	0.0869992i	0.00340545	+	0.0149202i
$35$	−1.81255	+	0.872880i	−0.306377	+	0.147544i
$36$	−2.12488			−0.354146
$37$	−9.33309			−1.53435			−0.767176	−	0.641437i	$-0.778339\pi$
$37$	−9.33309			−1.53435			−0.767176	+	0.641437i	$0.778339\pi$
$38$	6.51867	−	3.13923i	1.05747	−	0.509250i
$39$	1.03902	−	4.55226i	0.166377	−	0.728945i
$40$	−0.623490	+	0.781831i	−0.0985824	+	0.123618i
$41$	3.08442	+	3.86774i	0.481706	+	0.604040i	0.961994	−	0.273071i	$-0.0880393\pi$
$41$	3.08442	+	3.86774i	0.481706	+	0.604040i	−0.480288	+	0.877111i	$0.659468\pi$
$42$	1.88198			0.290396
$43$	−2.39367	+	6.10494i	−0.365032	+	0.930995i
$43$	−2.39367	+	6.10494i	−0.365032	+	0.930995i
$44$	3.22594			0.486329
$45$	−1.32484	−	1.66130i	−0.197495	−	0.247651i
$46$	2.40440	−	3.01502i	0.354509	−	0.444540i
$47$	1.86968	−	8.19162i	0.272721	−	1.19487i	−0.634065	−	0.773280i	$-0.718615\pi$
$47$	1.86968	−	8.19162i	0.272721	−	1.19487i	0.906786	−	0.421591i	$-0.138528\pi$
$48$	0.842839	−	0.405890i	0.121653	−	0.0585851i
$49$	−2.95273			−0.421819
$50$	−1.00000			−0.141421
$51$	0.0752121	−	0.0362202i	0.0105318	−	0.00507185i
$52$	−1.11069	−	4.86623i	−0.154024	−	0.674825i
$53$	−5.38436	−	2.59297i	−0.739599	−	0.356172i	0.0258526	−	0.999666i	$-0.491770\pi$
$53$	−5.38436	−	2.59297i	−0.739599	−	0.356172i	−0.765451	+	0.643494i	$0.777484\pi$
$54$	1.06681	+	4.67402i	0.145175	+	0.636054i
$55$	2.01134	+	2.52214i	0.271209	+	0.340086i
$56$	1.81255	−	0.872880i	0.242213	−	0.116643i
$57$	−4.22001	−	5.29172i	−0.558954	−	0.700906i
$58$	1.35762	−	5.94813i	0.178264	−	0.781028i
$59$	3.61995	+	1.74327i	0.471277	+	0.226955i	0.654420	−	0.756131i	$-0.272913\pi$
$59$	3.61995	+	1.74327i	0.471277	+	0.226955i	−0.183143	+	0.983086i	$0.558627\pi$
$60$	0.842839	+	0.405890i	0.108810	+	0.0524001i
$61$	9.46297	−	11.8662i	1.21161	−	1.51931i	0.420912	−	0.907102i	$-0.361710\pi$
$61$	9.46297	−	11.8662i	1.21161	−	1.51931i	0.790697	−	0.612208i	$-0.209718\pi$
$62$	1.68885	−	7.39933i	0.214484	−	0.939716i
$63$	0.951230	+	4.16761i	0.119844	+	0.525070i
$64$	0.623490	−	0.781831i	0.0779362	−	0.0977289i
$65$	3.11207	−	3.90241i	0.386005	−	0.484035i
$66$	−0.671525	−	2.94214i	−0.0826591	−	0.362153i
$67$	−2.34363	+	10.2681i	−0.286320	+	1.25445i	0.603213	+	0.797580i	$0.293887\pi$
$67$	−2.34363	+	10.2681i	−0.286320	+	1.25445i	−0.889533	+	0.456871i	$0.848970\pi$
$68$	0.0556381	−	0.0697680i	0.00674711	−	0.00846061i
$69$	−3.25029	−	1.56526i	−0.391288	−	0.188435i
$70$	1.81255	+	0.872880i	0.216642	+	0.104329i
$71$	−2.93038	+	12.8388i	−0.347772	+	1.52369i	0.434456	+	0.900693i	$0.356941\pi$
$71$	−2.93038	+	12.8388i	−0.347772	+	1.52369i	−0.782227	+	0.622993i	$0.785916\pi$
$72$	1.32484	+	1.66130i	0.156134	+	0.195786i
$73$	10.4917	−	5.05256i	1.22797	−	0.591357i	0.296447	−	0.955049i	$-0.404198\pi$
$73$	10.4917	−	5.05256i	1.22797	−	0.591357i	0.931519	+	0.363692i	$0.118484\pi$
$74$	5.81909	+	7.29691i	0.676455	+	0.848248i
$75$	0.208164	+	0.912026i	0.0240367	+	0.105312i
$76$	−6.51867	−	3.13923i	−0.747743	−	0.360094i
$77$	−1.44414	−	6.32718i	−0.164575	−	0.721049i
$78$	−4.20692	+	2.02595i	−0.476340	+	0.229393i
$79$	−10.3765			−1.16744			−0.583722	−	0.811953i	$-0.698404\pi$
$79$	−10.3765			−1.16744			−0.583722	+	0.811953i	$0.698404\pi$
$80$	1.00000			0.111803
$81$	−1.70259	+	0.819922i	−0.189176	+	0.0911025i
$82$	1.10082	−	4.82300i	0.121565	−	0.532611i
$83$	4.96432	−	6.22506i	0.544905	−	0.683289i	−0.430783	−	0.902456i	$-0.641762\pi$
$83$	4.96432	−	6.22506i	0.544905	−	0.683289i	0.975687	+	0.219167i	$0.0703339\pi$
$84$	−1.17340	−	1.47139i	−0.128028	−	0.160542i
$85$	0.0892366			0.00967907
$86$	6.26547	−	1.93492i	0.675623	−	0.208648i
$87$	−5.70746			−0.611904
$88$	−2.01134	−	2.52214i	−0.214410	−	0.268861i
$89$	7.38549	−	9.26111i	0.782861	−	0.981676i	−0.217124	−	0.976144i	$-0.569668\pi$
$89$	7.38549	−	9.26111i	0.782861	−	0.981676i	0.999985	−	0.00553214i	$-0.00176094\pi$
$90$	−0.472829	+	2.07160i	−0.0498406	+	0.218366i
$91$	−9.04713	+	4.35687i	−0.948397	+	0.456724i
$92$	−3.85636			−0.402053
$93$	−7.09994			−0.736230
$94$	−7.57020	+	3.64561i	−0.780806	+	0.376016i
$95$	−1.60998	−	7.05377i	−0.165180	−	0.723702i
$96$	−0.842839	−	0.405890i	−0.0860219	−	0.0414260i
$97$	−2.64947	−	11.6081i	−0.269012	−	1.17862i	−0.911164	−	0.412043i	$-0.864815\pi$
$97$	−2.64947	−	11.6081i	−0.269012	−	1.17862i	0.642152	−	0.766577i	$-0.278042\pi$
$98$	1.84100	+	2.30854i	0.185969	+	0.233198i
$99$	6.17590	−	2.97416i	0.620701	−	0.298914i
$100$	0.623490	+	0.781831i	0.0623490	+	0.0781831i
$101$	0.396147	−	1.73563i	0.0394181	−	0.172702i	−0.951387	−	0.307997i	$-0.900341\pi$
$101$	0.396147	−	1.73563i	0.0394181	−	0.172702i	0.990805	+	0.135295i	$0.0431983\pi$
$102$	−0.0752121	−	0.0362202i	−0.00744710	−	0.00358634i
$103$	2.08670	+	1.00490i	0.205608	+	0.0990157i	0.533854	−	0.845577i	$-0.320743\pi$
$103$	2.08670	+	1.00490i	0.205608	+	0.0990157i	−0.328246	+	0.944592i	$0.606457\pi$
$104$	−3.11207	+	3.90241i	−0.305164	+	0.382663i
$105$	0.418781	−	1.83480i	0.0408688	−	0.179058i
$106$	1.32983	+	5.82635i	0.129164	+	0.565905i
$107$	5.56117	−	6.97349i	0.537619	−	0.674153i	−0.436627	−	0.899643i	$-0.643827\pi$
$107$	5.56117	−	6.97349i	0.537619	−	0.674153i	0.974245	+	0.225490i	$0.0723983\pi$
$108$	2.98915	−	3.74827i	0.287631	−	0.360678i
$109$	1.40206	+	6.14282i	0.134293	+	0.588375i	0.996629	+	0.0820394i	$0.0261433\pi$
$109$	1.40206	+	6.14282i	0.134293	+	0.588375i	−0.862336	+	0.506336i	$0.831000\pi$
$110$	0.717840	−	3.14506i	0.0684434	−	0.299870i
$111$	5.44364	−	6.82611i	0.516688	−	0.647906i
$112$	−1.81255	−	0.872880i	−0.171270	−	0.0824794i
$113$	−9.44431	−	4.54814i	−0.888446	−	0.427853i	−0.0667436	−	0.997770i	$-0.521261\pi$
$113$	−9.44431	−	4.54814i	−0.888446	−	0.427853i	−0.821702	+	0.569917i	$0.806975\pi$
$114$	−1.50610	+	6.59867i	−0.141059	+	0.618022i
$115$	−2.40440	−	3.01502i	−0.224211	−	0.281152i
$116$	−5.49690	+	2.64717i	−0.510374	+	0.245783i
$117$	−6.61277	−	8.29215i	−0.611350	−	0.766609i
$118$	−0.894053	−	3.91710i	−0.0823043	−	0.360598i
$119$	−0.161746	−	0.0778928i	−0.0148272	−	0.00714042i
$120$	−0.208164	−	0.912026i	−0.0190027	−	0.0832562i
$121$	0.534533	−	0.257418i	0.0485939	−	0.0234016i
$122$	−15.1774			−1.37410
$123$	−4.62785			−0.417279
$124$	−6.83801	+	3.29301i	−0.614072	+	0.295721i
$125$	−0.222521	+	0.974928i	−0.0199029	+	0.0872002i
$126$	2.66529	−	3.34216i	0.237443	−	0.297744i
$127$	4.80019	+	6.01925i	0.425948	+	0.534122i	0.947779	−	0.318927i	$-0.103322\pi$
$127$	4.80019	+	6.01925i	0.425948	+	0.534122i	−0.521831	+	0.853049i	$0.674751\pi$
$128$	−1.00000			−0.0883883
$129$	−3.06894	−	5.31149i	−0.270205	−	0.467651i
$130$	−4.99137			−0.437772
$131$	−4.63853	−	5.81653i	−0.405270	−	0.508193i	0.536753	−	0.843739i	$-0.319651\pi$
$131$	−4.63853	−	5.81653i	−0.405270	−	0.508193i	−0.942024	+	0.335546i	$0.891079\pi$
$132$	−1.88157	+	2.35942i	−0.163770	+	0.205361i
$133$	−3.23892	+	14.1907i	−0.280850	+	1.23049i
$134$	9.48917	−	4.56975i	0.819740	−	0.394766i
$135$	4.79422			0.412621
$136$	−0.0892366			−0.00765197
$137$	3.32247	−	1.60002i	0.283858	−	0.136699i	−0.286537	−	0.958069i	$-0.592504\pi$
$137$	3.32247	−	1.60002i	0.283858	−	0.136699i	0.570395	+	0.821370i	$0.306790\pi$
$138$	0.802754	+	3.51710i	0.0683350	+	0.299395i
$139$	17.1985	+	8.28238i	1.45876	+	0.702502i	0.984092	−	0.177662i	$-0.0568533\pi$
$139$	17.1985	+	8.28238i	1.45876	+	0.702502i	0.474670	+	0.880164i	$0.342568\pi$
$140$	−0.447664	−	1.96134i	−0.0378345	−	0.165764i
$141$	4.90074	+	6.14533i	0.412716	+	0.517530i
$142$	11.8648	−	5.71381i	0.995676	−	0.479492i
$143$	10.0394	+	12.5890i	0.839534	+	1.05274i
$144$	0.472829	−	2.07160i	0.0394025	−	0.172633i
$145$	−5.49690	−	2.64717i	−0.456492	−	0.219835i
$146$	−10.4917	−	5.05256i	−0.868303	−	0.418153i
$147$	1.72222	−	2.15959i	0.142046	−	0.178120i
$148$	2.07681	−	9.09909i	0.170713	−	0.747941i
$149$	−4.98096	−	21.8230i	−0.408056	−	1.78781i	−0.593151	−	0.805091i	$-0.702116\pi$
$149$	−4.98096	−	21.8230i	−0.408056	−	1.78781i	0.185095	−	0.982721i	$-0.440741\pi$
$150$	0.583263	−	0.731388i	0.0476232	−	0.0597176i
$151$	2.83134	−	3.55039i	0.230411	−	0.288926i	−0.653163	−	0.757217i	$-0.726559\pi$
$151$	2.83134	−	3.55039i	0.230411	−	0.288926i	0.883574	+	0.468291i	$0.155130\pi$
$152$	1.60998	+	7.05377i	0.130586	+	0.572137i
$153$	0.0421937	−	0.184863i	0.00341116	−	0.0149453i
$154$	−4.04638	+	5.07400i	−0.326067	+	0.408875i
$155$	−6.83801	−	3.29301i	−0.549242	−	0.264501i
$156$	4.20692	+	2.02595i	0.336823	+	0.162206i
$157$	−1.83520	+	8.04053i	−0.146465	+	0.641704i	0.847386	+	0.530977i	$0.178175\pi$
$157$	−1.83520	+	8.04053i	−0.146465	+	0.641704i	−0.993851	+	0.110727i	$0.964682\pi$
$158$	6.46963	+	8.11265i	0.514696	+	0.645408i
$159$	5.03696	−	2.42567i	0.399457	−	0.192368i
$160$	−0.623490	−	0.781831i	−0.0492912	−	0.0618092i
$161$	1.72635	+	7.56363i	0.136055	+	0.596098i
$162$	1.70259	+	0.819922i	0.133768	+	0.0644192i
$163$	0.913095	+	4.00053i	0.0715191	+	0.313346i	0.998016	−	0.0629559i	$-0.0200528\pi$
$163$	0.913095	+	4.00053i	0.0715191	+	0.313346i	−0.926497	+	0.376302i	$0.877196\pi$
$164$	−4.45712	+	2.14644i	−0.348043	+	0.167608i
$165$	−3.01781			−0.234936
$166$	−7.96215			−0.617983
$167$	11.6921	−	5.63060i	0.904759	−	0.435709i	0.0771533	−	0.997019i	$-0.475417\pi$
$167$	11.6921	−	5.63060i	0.904759	−	0.435709i	0.827605	+	0.561310i	$0.189703\pi$
$168$	−0.418781	+	1.83480i	−0.0323096	+	0.141558i
$169$	7.42814	−	9.31459i	0.571395	−	0.716507i
$170$	−0.0556381	−	0.0697680i	−0.00426725	−	0.00535096i
$171$	−15.3739			−1.17567
$172$	−5.41924	−	3.69214i	−0.413213	−	0.281523i
$173$	6.12657			0.465794			0.232897	−	0.972501i	$-0.425179\pi$
$173$	6.12657			0.465794			0.232897	+	0.972501i	$0.425179\pi$
$174$	3.55854	+	4.46227i	0.269772	+	0.338284i
$175$	1.25433	−	1.57287i	0.0948181	−	0.118898i
$176$	−0.717840	+	3.14506i	−0.0541092	+	0.237068i
$177$	−3.38639	+	1.63080i	−0.254537	+	0.122578i
$178$	−11.8454			−0.887851
$179$	14.9548			1.11777			0.558887	−	0.829244i	$-0.311229\pi$
$179$	14.9548			1.11777			0.558887	+	0.829244i	$0.311229\pi$
$180$	1.91445	−	0.921949i	0.142694	−	0.0687180i
$181$	3.01773	+	13.2216i	0.224306	+	0.982751i	0.954195	+	0.299185i	$0.0967147\pi$
$181$	3.01773	+	13.2216i	0.224306	+	0.982751i	−0.729889	+	0.683566i	$0.760428\pi$
$182$	9.04713	+	4.35687i	0.670618	+	0.322953i
$183$	3.15939	+	13.8422i	0.233549	+	1.02325i
$184$	2.40440	+	3.01502i	0.177255	+	0.222270i
$185$	8.40883	−	4.04948i	0.618229	−	0.297724i
$186$	4.42674	+	5.55096i	0.324584	+	0.407016i
$187$	−0.0640576	+	0.280655i	−0.00468436	+	0.0205235i
$188$	7.57020	+	3.64561i	0.552113	+	0.265884i
$189$	−8.68978	−	4.18478i	−0.632089	−	0.304398i
$190$	−4.51106	+	5.65669i	−0.327267	+	0.410379i
$191$	−1.55072	+	6.79415i	−0.112206	+	0.491607i	0.887329	+	0.461136i	$0.152558\pi$
$191$	−1.55072	+	6.79415i	−0.112206	+	0.491607i	−0.999536	+	0.0304714i	$0.990299\pi$
$192$	0.208164	+	0.912026i	0.0150229	+	0.0658198i
$193$	−16.3454	+	20.4965i	−1.17657	+	1.47537i	−0.329288	+	0.944230i	$0.606809\pi$
$193$	−16.3454	+	20.4965i	−1.17657	+	1.47537i	−0.847282	+	0.531143i	$0.821763\pi$
$194$	−7.42364	+	9.30895i	−0.532986	+	0.668343i
$195$	1.03902	+	4.55226i	0.0744061	+	0.325994i
$196$	0.657045	−	2.87870i	0.0469318	−	0.205622i
$197$	−10.5148	+	13.1851i	−0.749149	+	0.939403i	−0.999587	−	0.0287297i	$-0.990854\pi$
$197$	−10.5148	+	13.1851i	−0.749149	+	0.939403i	0.250438	+	0.968133i	$0.419425\pi$
$198$	−6.17590	−	2.97416i	−0.438902	−	0.211364i
$199$	18.2020	+	8.76564i	1.29031	+	0.621380i	0.948019	−	0.318215i	$-0.103083\pi$
$199$	18.2020	+	8.76564i	1.29031	+	0.621380i	0.342290	+	0.939594i	$0.388798\pi$
$200$	0.222521	−	0.974928i	0.0157346	−	0.0689378i
$201$	−6.14303	−	7.70312i	−0.433296	−	0.543336i
$202$	−1.60397	+	0.772430i	−0.112855	+	0.0543480i
$203$	7.65276	+	9.59626i	0.537118	+	0.673525i
$204$	0.0185758	+	0.0813861i	0.00130057	+	0.00569817i
$205$	−4.45712	−	2.14644i	−0.311299	−	0.149914i
$206$	−0.515371	−	2.25799i	−0.0359076	−	0.157322i
$207$	−7.38279	+	3.55536i	−0.513139	+	0.247115i
$208$	4.99137			0.346090
$209$	23.3403			1.61448
$210$	−1.69561	+	0.816562i	−0.117008	+	0.0563481i
$211$	4.51999	−	19.8034i	0.311169	−	1.36332i	−0.541426	−	0.840749i	$-0.682115\pi$
$211$	4.51999	−	19.8034i	0.311169	−	1.36332i	0.852595	−	0.522573i	$-0.175028\pi$
$212$	3.72609	−	4.67237i	0.255909	−	0.320900i
$213$	−7.68098	−	9.63164i	−0.526292	−	0.659949i
$214$	−8.91943			−0.609720
$215$	−0.492209	−	6.53894i	−0.0335684	−	0.445952i
$216$	−4.79422			−0.326205
$217$	9.51986	+	11.9375i	0.646250	+	0.810372i
$218$	3.92848	−	4.92616i	0.266070	−	0.333642i
$219$	−2.42406	+	10.6205i	−0.163803	+	0.717667i
$220$	−2.90647	+	1.39968i	−0.195954	+	0.0943667i
$221$	0.445413			0.0299617
$222$	−8.73093			−0.585982
$223$	10.7482	−	5.17605i	0.719751	−	0.346614i	−0.0378929	−	0.999282i	$-0.512065\pi$
$223$	10.7482	−	5.17605i	0.719751	−	0.346614i	0.757644	+	0.652668i	$0.226350\pi$
$224$	0.447664	+	1.96134i	0.0299108	+	0.131048i
$225$	1.91445	+	0.921949i	0.127630	+	0.0614633i
$226$	2.33255	+	10.2196i	0.155159	+	0.679796i
$227$	11.3105	+	14.1829i	0.750703	+	0.941352i	0.999631	−	0.0271699i	$-0.00864951\pi$
$227$	11.3105	+	14.1829i	0.750703	+	0.941352i	−0.248927	+	0.968522i	$0.580078\pi$
$228$	6.09809	−	2.93668i	0.403856	−	0.194487i
$229$	−3.78499	−	4.74623i	−0.250119	−	0.313639i	0.640883	−	0.767639i	$-0.278568\pi$
$229$	−3.78499	−	4.74623i	−0.250119	−	0.313639i	−0.891002	+	0.453999i	$0.849997\pi$
$230$	−0.858120	+	3.75967i	−0.0565827	+	0.247905i
$231$	5.46994	+	2.63418i	0.359895	+	0.173316i
$232$	5.49690	+	2.64717i	0.360889	+	0.173795i
$233$	8.34267	−	10.4614i	0.546547	−	0.685348i	−0.429461	−	0.903086i	$-0.641296\pi$
$233$	8.34267	−	10.4614i	0.546547	−	0.685348i	0.976007	+	0.217738i	$0.0698678\pi$
$234$	−2.36007	+	10.3401i	−0.154283	+	0.675956i
$235$	1.86968	+	8.19162i	0.121965	+	0.534362i
$236$	−2.50508	+	3.14127i	−0.163067	+	0.204479i
$237$	6.05221	−	7.58923i	0.393133	−	0.492974i
$238$	0.0399480	+	0.175024i	0.00258944	+	0.0113451i
$239$	−3.71334	+	16.2692i	−0.240196	+	1.05237i	0.700642	+	0.713513i	$0.252897\pi$
$239$	−3.71334	+	16.2692i	−0.240196	+	1.05237i	−0.940838	+	0.338856i	$0.889960\pi$
$240$	−0.583263	+	0.731388i	−0.0376494	+	0.0472109i
$241$	−8.46239	−	4.07527i	−0.545110	−	0.262511i	0.140999	−	0.990010i	$-0.454969\pi$
$241$	−8.46239	−	4.07527i	−0.545110	−	0.262511i	−0.686109	+	0.727498i	$0.740683\pi$
$242$	−0.534533	−	0.257418i	−0.0343611	−	0.0165474i
$243$	3.59382	−	15.7455i	0.230543	−	1.01008i
$244$	9.46297	+	11.8662i	0.605804	+	0.759655i
$245$	2.66032	−	1.28114i	0.169962	−	0.0818492i
$246$	2.88542	+	3.61820i	0.183967	+	0.230688i
$247$	−8.03600	−	35.2080i	−0.511319	−	2.24023i
$248$	6.83801	+	3.29301i	0.434214	+	0.209107i
$249$	1.65743	+	7.26169i	0.105036	+	0.460191i
$250$	0.900969	−	0.433884i	0.0569823	−	0.0274412i
$251$	−12.4420			−0.785334			−0.392667	−	0.919681i	$-0.628448\pi$
$251$	−12.4420			−0.785334			−0.392667	+	0.919681i	$0.628448\pi$
$252$	−4.27479			−0.269286
$253$	11.2084	−	5.39768i	0.704666	−	0.339349i
$254$	1.71317	−	7.50588i	0.107494	−	0.470961i
$255$	−0.0520484	+	0.0652666i	−0.00325939	+	0.00408715i
$256$	0.623490	+	0.781831i	0.0389681	+	0.0488645i
$257$	9.28914			0.579440			0.289720	−	0.957111i	$-0.406438\pi$
$257$	9.28914			0.579440			0.289720	+	0.957111i	$0.406438\pi$
$258$	−2.23924	+	5.71105i	−0.139409	+	0.355555i
$259$	−18.7762			−1.16669
$260$	3.11207	+	3.90241i	0.193002	+	0.242017i
$261$	−8.08297	+	10.1357i	−0.500323	+	0.627385i
$262$	−1.65547	+	7.25310i	−0.102275	+	0.448098i
$263$	−4.61332	+	2.22166i	−0.284469	+	0.136993i	−0.570678	−	0.821174i	$-0.693319\pi$
$263$	−4.61332	+	2.22166i	−0.284469	+	0.136993i	0.286208	+	0.958167i	$0.407605\pi$
$264$	3.01781			0.185733
$265$	5.97619			0.367114
$266$	13.1141	−	6.31544i	0.804079	−	0.387224i
$267$	2.46579	+	10.8033i	0.150904	+	0.661153i
$268$	−9.48917	−	4.56975i	−0.579644	−	0.279142i
$269$	−1.12730	−	4.93903i	−0.0687328	−	0.301138i	0.928864	−	0.370420i	$-0.120786\pi$
$269$	−1.12730	−	4.93903i	−0.0687328	−	0.301138i	−0.997597	+	0.0692821i	$0.977929\pi$
$270$	−2.98915	−	3.74827i	−0.181914	−	0.228113i
$271$	−11.9627	+	5.76095i	−0.726684	+	0.349953i	−0.760379	−	0.649480i	$-0.774987\pi$
$271$	−11.9627	+	5.76095i	−0.726684	+	0.349953i	0.0336950	+	0.999432i	$0.489273\pi$
$272$	0.0556381	+	0.0697680i	0.00337356	+	0.00423030i
$273$	2.09029	−	9.15816i	0.126510	−	0.554277i
$274$	−3.32247	−	1.60002i	−0.200718	−	0.0966607i
$275$	−2.90647	−	1.39968i	−0.175267	−	0.0844042i
$276$	2.24927	−	2.82049i	0.135390	−	0.169774i
$277$	3.29432	−	14.4334i	0.197936	−	0.867216i	−0.774226	−	0.632909i	$-0.781861\pi$
$277$	3.29432	−	14.4334i	0.197936	−	0.867216i	0.972163	−	0.234307i	$-0.0752822\pi$
$278$	−4.24769	−	18.6103i	−0.254759	−	1.11617i
$279$	−10.0550	+	12.6086i	−0.601978	+	0.754857i
$280$	−1.25433	+	1.57287i	−0.0749603	+	0.0939972i
$281$	1.49513	+	6.55061i	0.0891922	+	0.390777i	0.999744	−	0.0226179i	$-0.00720013\pi$
$281$	1.49513	+	6.55061i	0.0891922	+	0.390777i	−0.910552	+	0.413395i	$0.864343\pi$
$282$	1.74905	−	7.66310i	0.104155	−	0.456331i
$283$	−8.50455	+	10.6644i	−0.505543	+	0.633931i	−0.967470	−	0.252987i	$-0.918587\pi$
$283$	−8.50455	+	10.6644i	−0.505543	+	0.633931i	0.461927	+	0.886918i	$0.347158\pi$
$284$	−11.8648	−	5.71381i	−0.704049	−	0.339052i
$285$	6.09809	+	2.93668i	0.361219	+	0.173954i
$286$	3.58301	−	15.6982i	0.211868	−	0.928253i
$287$	6.20519	+	7.78106i	0.366281	+	0.459301i
$288$	−1.91445	+	0.921949i	−0.112810	+	0.0543264i
$289$	−10.5944	−	13.2849i	−0.623198	−	0.781465i
$290$	1.35762	+	5.94813i	0.0797223	+	0.349286i
$291$	10.0353	+	4.83276i	0.588282	+	0.283302i
$292$	2.59125	+	11.3530i	0.151641	+	0.664384i
$293$	−18.5212	+	8.91933i	−1.08202	+	0.521073i	−0.887962	−	0.459917i	$-0.847879\pi$
$293$	−18.5212	+	8.91933i	−1.08202	+	0.521073i	−0.194057	+	0.980990i	$0.562165\pi$
$294$	−2.76222			−0.161096
$295$	−4.01784			−0.233928
$296$	−8.40883	+	4.04948i	−0.488753	+	0.235371i
$297$	−3.44148	+	15.0781i	−0.199695	+	0.874922i
$298$	−13.9563	+	17.5007i	−0.808469	+	1.01379i
$299$	−12.0013	−	15.0491i	−0.694050	−	0.870312i
$300$	−0.935481			−0.0540100
$301$	−4.81555	+	12.2818i	−0.277564	+	0.707912i
$302$	−4.54111			−0.261312
$303$	1.03836	+	1.30207i	0.0596525	+	0.0748018i
$304$	4.51106	−	5.65669i	0.258727	−	0.324433i
$305$	−3.37729	+	14.7969i	−0.193383	+	0.847268i
$306$	−0.170839	+	0.0822716i	−0.00976620	+	0.00470315i
$307$	3.48920			0.199139			0.0995695	−	0.995031i	$-0.468253\pi$
$307$	3.48920			0.199139			0.0995695	+	0.995031i	$0.468253\pi$
$308$	6.48990			0.369796
$309$	−1.95206	+	0.940064i	−0.111049	+	0.0534784i
$310$	1.68885	+	7.39933i	0.0959202	+	0.420254i
$311$	−15.7452	−	7.58247i	−0.892826	−	0.429963i	−0.0695337	−	0.997580i	$-0.522151\pi$
$311$	−15.7452	−	7.58247i	−0.892826	−	0.429963i	−0.823293	+	0.567617i	$0.807865\pi$
$312$	−1.03902	−	4.55226i	−0.0588232	−	0.257721i
$313$	3.16351	+	3.96691i	0.178812	+	0.224223i	0.863158	−	0.504935i	$-0.168483\pi$
$313$	3.16351	+	3.96691i	0.178812	+	0.224223i	−0.684346	+	0.729158i	$0.739912\pi$
$314$	7.43057	−	3.57837i	0.419331	−	0.201939i
$315$	−2.66529	−	3.34216i	−0.150172	−	0.188310i
$316$	2.30898	−	10.1163i	0.129890	−	0.569087i
$317$	20.9078	+	10.0687i	1.17430	+	0.565513i	0.916245	−	0.400618i	$-0.131205\pi$
$317$	20.9078	+	10.0687i	1.17430	+	0.565513i	0.258054	+	0.966131i	$0.416919\pi$
$318$	−5.03696	−	2.42567i	−0.282459	−	0.136025i
$319$	12.2714	−	15.3878i	0.687066	−	0.861554i
$320$	−0.222521	+	0.974928i	−0.0124393	+	0.0545001i
$321$	1.85670	+	8.13475i	0.103631	+	0.454038i
$322$	4.83713	−	6.06556i	0.269562	−	0.338021i
$323$	0.402551	−	0.504784i	0.0223986	−	0.0280869i
$324$	−0.420504	−	1.84235i	−0.0233613	−	0.102353i
$325$	−1.11069	+	4.86623i	−0.0616097	+	0.269930i
$326$	2.55844	−	3.20818i	0.141699	−	0.177684i
$327$	−5.31055	−	2.55743i	−0.293674	−	0.141426i
$328$	4.45712	+	2.14644i	0.246103	+	0.118517i
$329$	3.76140	−	16.4798i	0.207372	−	0.908558i
$330$	1.88157	+	2.35942i	0.103577	+	0.129882i
$331$	11.3715	−	5.47625i	0.625037	−	0.301002i	−0.0944270	−	0.995532i	$-0.530102\pi$
$331$	11.3715	−	5.47625i	0.625037	−	0.301002i	0.719464	+	0.694530i	$0.244388\pi$
$332$	4.96432	+	6.22506i	0.272452	+	0.341644i
$333$	−4.41296	−	19.3345i	−0.241829	−	1.05952i
$334$	−11.6921	−	5.63060i	−0.639761	−	0.308093i
$335$	−2.34363	−	10.2681i	−0.128046	−	0.561008i
$336$	1.69561	−	0.816562i	0.0925030	−	0.0445471i
$337$	10.8320			0.590055			0.295027	−	0.955489i	$-0.404671\pi$
$337$	10.8320			0.590055			0.295027	+	0.955489i	$0.404671\pi$
$338$	−11.9138			−0.648026
$339$	8.83496	−	4.25469i	0.479849	−	0.231083i
$340$	−0.0198570	+	0.0869992i	−0.00107690	+	0.00471820i
$341$	15.2653	−	19.1421i	0.826664	−	1.03660i
$342$	9.58544	+	12.0198i	0.518321	+	0.649954i
$343$	−20.0227			−1.08113
$344$	0.492209	+	6.53894i	0.0265381	+	0.352556i
$345$	3.60755			0.194224
$346$	−3.81985	−	4.78994i	−0.205356	−	0.257509i
$347$	0.218337	−	0.273786i	0.0117209	−	0.0146976i	−0.775936	−	0.630811i	$-0.782722\pi$
$347$	0.218337	−	0.273786i	0.0117209	−	0.0146976i	0.787657	+	0.616113i	$0.211294\pi$
$348$	1.27003	−	5.56436i	0.0680807	−	0.298281i
$349$	−15.8170	+	7.61705i	−0.846663	+	0.407731i	−0.806338	−	0.591455i	$-0.798554\pi$
$349$	−15.8170	+	7.61705i	−0.846663	+	0.407731i	−0.0403249	+	0.999187i	$0.512839\pi$
$350$	−2.01178			−0.107534
$351$	23.9298			1.27728
$352$	2.90647	−	1.39968i	0.154916	−	0.0746034i
$353$	4.30636	+	18.8674i	0.229205	+	1.00421i	0.950290	+	0.311365i	$0.100786\pi$
$353$	4.30636	+	18.8674i	0.229205	+	1.00421i	−0.721086	+	0.692846i	$0.756357\pi$
$354$	3.38639	+	1.63080i	0.179985	+	0.0866760i
$355$	−2.93038	−	12.8388i	−0.155528	−	0.681413i
$356$	7.38549	+	9.26111i	0.391430	+	0.490838i
$357$	0.151310	−	0.0728672i	0.00800819	−	0.00385654i
$358$	−9.32416	−	11.6921i	−0.492797	−	0.617948i
$359$	0.217840	−	0.954420i	0.0114972	−	0.0503724i	−0.968854	−	0.247633i	$-0.920347\pi$
$359$	0.217840	−	0.954420i	0.0114972	−	0.0503724i	0.980351	+	0.197260i	$0.0632045\pi$
$360$	−1.91445	−	0.921949i	−0.100900	−	0.0485910i
$361$	−30.0453	−	14.4691i	−1.58133	−	0.761529i
$362$	8.45550	−	10.6029i	0.444411	−	0.557274i
$363$	−0.123501	+	0.541093i	−0.00648212	+	0.0284000i
$364$	−2.23446	−	9.78979i	−0.117117	−	0.513125i
$365$	−7.26051	+	9.10440i	−0.380033	+	0.476546i
$366$	8.85242	−	11.1006i	0.462723	−	0.580237i
$367$	4.29223	+	18.8055i	0.224052	+	0.981638i	0.954393	+	0.298554i	$0.0965044\pi$
$367$	4.29223	+	18.8055i	0.224052	+	0.981638i	−0.730340	+	0.683084i	$0.760638\pi$
$368$	0.858120	−	3.75967i	0.0447326	−	0.195986i
$369$	−6.55402	+	8.21848i	−0.341188	+	0.427837i
$370$	−8.40883	−	4.04948i	−0.437154	−	0.210522i
$371$	−10.8322	−	5.21649i	−0.562378	−	0.270827i
$372$	1.57989	−	6.92193i	0.0819133	−	0.358885i
$373$	−2.61856	−	3.28357i	−0.135584	−	0.170017i	0.709404	−	0.704802i	$-0.248964\pi$
$373$	−2.61856	−	3.28357i	−0.135584	−	0.170017i	−0.844988	+	0.534785i	$0.820393\pi$
$374$	0.259364	−	0.124903i	0.0134114	−	0.00645858i
$375$	−0.583263	−	0.731388i	−0.0301195	−	0.0377687i
$376$	−1.86968	−	8.19162i	−0.0964216	−	0.422451i
$377$	−27.4371	−	13.2130i	−1.41308	−	0.680504i
$378$	2.14620	+	9.40311i	0.110389	+	0.483644i
$379$	3.78218	−	1.82140i	0.194277	−	0.0935591i	−0.334216	−	0.942497i	$-0.608471\pi$
$379$	3.78218	−	1.82140i	0.194277	−	0.0935591i	0.528493	+	0.848937i	$0.322757\pi$
$380$	7.23518			0.371157
$381$	−7.20218			−0.368979
$382$	6.27874	−	3.02368i	0.321248	−	0.154705i
$383$	−0.356188	+	1.56056i	−0.0182003	+	0.0797409i	−0.983212	−	0.182464i	$-0.941593\pi$
$383$	−0.356188	+	1.56056i	−0.0182003	+	0.0797409i	0.965012	+	0.262205i	$0.0844497\pi$
$384$	0.583263	−	0.731388i	0.0297645	−	0.0373235i
$385$	4.04638	+	5.07400i	0.206223	+	0.258595i
$386$	26.2160			1.33436
$387$	−13.7788	−	2.07214i	−0.700416	−	0.105333i
$388$	11.9066			0.604466
$389$	−21.4983	−	26.9581i	−1.09001	−	1.36683i	−0.924749	−	0.380578i	$-0.875725\pi$
$389$	−21.4983	−	26.9581i	−1.09001	−	1.36683i	−0.165260	−	0.986250i	$-0.552846\pi$
$390$	2.91128	−	3.65063i	0.147418	−	0.184857i
$391$	0.0765757	−	0.335500i	0.00387260	−	0.0169670i
$392$	−2.66032	+	1.28114i	−0.134366	+	0.0647075i
$393$	6.95962			0.351067
$394$	16.8644			0.849618
$395$	9.34888	−	4.50218i	0.470393	−	0.226529i
$396$	1.52532	+	6.68287i	0.0766503	+	0.335827i
$397$	10.9516	+	5.27401i	0.549645	+	0.264695i	0.688028	−	0.725684i	$-0.258476\pi$
$397$	10.9516	+	5.27401i	0.549645	+	0.264695i	−0.138384	+	0.990379i	$0.544191\pi$
$398$	−4.49553	−	19.6962i	−0.225341	−	0.987282i
$399$	−8.48973	−	10.6458i	−0.425018	−	0.532956i
$400$	−0.900969	+	0.433884i	−0.0450484	+	0.0216942i
$401$	9.92272	+	12.4427i	0.495517	+	0.621359i	0.965211	−	0.261470i	$-0.0842074\pi$
$401$	9.92272	+	12.4427i	0.495517	+	0.621359i	−0.469695	+	0.882829i	$0.655636\pi$
$402$	−2.19242	+	9.60563i	−0.109348	+	0.479085i
$403$	−34.1311	−	16.4367i	−1.70019	−	0.818768i
$404$	1.60397	+	0.772430i	0.0798003	+	0.0384298i
$405$	1.17823	−	1.47745i	0.0585465	−	0.0734150i
$406$	2.73124	−	11.9663i	0.135549	−	0.593879i
$407$	6.69967	+	29.3532i	0.332090	+	1.45498i
$408$	0.0520484	−	0.0652666i	0.00257678	−	0.00323118i
$409$	11.3692	−	14.2566i	0.562172	−	0.704941i	−0.416786	−	0.909005i	$-0.636844\pi$
$409$	11.3692	−	14.2566i	0.562172	−	0.704941i	0.978958	+	0.204064i	$0.0654149\pi$
$410$	1.10082	+	4.82300i	0.0543655	+	0.238191i
$411$	−0.767640	+	3.36325i	−0.0378649	+	0.165897i
$412$	−1.44404	+	1.81077i	−0.0711426	+	0.0892101i
$413$	7.28254	+	3.50709i	0.358351	+	0.172573i
$414$	7.38279	+	3.55536i	0.362844	+	0.174737i
$415$	−1.77174	+	7.76252i	−0.0869715	+	0.381047i
$416$	−3.11207	−	3.90241i	−0.152582	−	0.191332i
$417$	−16.0889	+	7.74801i	−0.787877	+	0.379421i
$418$	−14.5524	−	18.2482i	−0.711782	−	0.892547i
$419$	−6.05586	−	26.5325i	−0.295848	−	1.29620i	−0.876247	−	0.481863i	$-0.839960\pi$
$419$	−6.05586	−	26.5325i	−0.295848	−	1.29620i	0.580399	−	0.814333i	$-0.302897\pi$
$420$	1.69561	+	0.816562i	0.0827372	+	0.0398441i
$421$	1.79973	+	7.88512i	0.0877134	+	0.384297i	0.999662	−	0.0260076i	$-0.00827940\pi$
$421$	1.79973	+	7.88512i	0.0877134	+	0.384297i	−0.911948	+	0.410305i	$0.865422\pi$
$422$	−18.3011	+	8.81334i	−0.890883	+	0.429026i
$423$	17.8538			0.868082
$424$	−5.97619			−0.290229
$425$	−0.0803994	+	0.0387183i	−0.00389994	+	0.00187811i
$426$	−2.74131	+	12.0105i	−0.132817	+	0.581909i
$427$	19.0374	−	23.8722i	0.921286	−	1.15526i
$428$	5.56117	+	6.97349i	0.268809	+	0.337076i
$429$	−15.0630			−0.727249
$430$	−4.80546	+	4.46179i	−0.231740	+	0.215166i
$431$	−34.6732			−1.67015			−0.835074	−	0.550138i	$-0.814575\pi$
$431$	−34.6732			−1.67015			−0.835074	+	0.550138i	$0.814575\pi$
$432$	2.98915	+	3.74827i	0.143815	+	0.180339i
$433$	19.4745	−	24.4203i	0.935885	−	1.17356i	−0.0487279	−	0.998812i	$-0.515517\pi$
$433$	19.4745	−	24.4203i	0.935885	−	1.17356i	0.984613	−	0.174750i	$-0.0559118\pi$
$434$	3.39760	−	14.8858i	0.163090	−	0.714543i
$435$	5.14224	−	2.47637i	0.246552	−	0.118733i
$436$	−6.30079			−0.301753
$437$	−27.9014			−1.33471
$438$	9.81482	−	4.72657i	0.468970	−	0.225844i
$439$	2.23458	+	9.79032i	0.106650	+	0.467266i	0.999845	+	0.0175962i	$0.00560132\pi$
$439$	2.23458	+	9.79032i	0.106650	+	0.467266i	−0.893195	+	0.449670i	$0.851542\pi$
$440$	2.90647	+	1.39968i	0.138561	+	0.0667273i
$441$	−1.39614	−	6.11688i	−0.0664828	−	0.291280i
$442$	−0.277711	−	0.348238i	−0.0132093	−	0.0165640i
$443$	30.3723	−	14.6265i	1.44303	−	0.694928i	0.461663	−	0.887055i	$-0.347253\pi$
$443$	30.3723	−	14.6265i	1.44303	−	0.694928i	0.981370	+	0.192127i	$0.0615387\pi$
$444$	5.44364	+	6.82611i	0.258344	+	0.323953i
$445$	−2.63585	+	11.5484i	−0.124951	+	0.547448i
$446$	−10.7482	−	5.17605i	−0.508941	−	0.245093i
$447$	18.8663	+	9.08554i	0.892346	+	0.429731i
$448$	1.25433	−	1.57287i	0.0592613	−	0.0743113i
$449$	−3.71219	+	16.2642i	−0.175189	+	0.767553i	0.808620	+	0.588332i	$0.200215\pi$
$449$	−3.71219	+	16.2642i	−0.175189	+	0.767553i	−0.983809	+	0.179221i	$0.942642\pi$
$450$	−0.472829	−	2.07160i	−0.0222894	−	0.0976562i
$451$	9.95017	−	12.4771i	0.468535	−	0.587525i
$452$	6.53566	−	8.19546i	0.307412	−	0.385482i
$453$	0.945296	+	4.14161i	0.0444139	+	0.194590i
$454$	4.03667	−	17.6858i	0.189450	−	0.830035i
$455$	6.26081	−	7.85081i	0.293511	−	0.368051i
$456$	−6.09809	−	2.93668i	−0.285569	−	0.137523i
$457$	23.8501	+	11.4856i	1.11566	+	0.537274i	0.898549	−	0.438873i	$-0.144622\pi$
$457$	23.8501	+	11.4856i	1.11566	+	0.537274i	0.217112	+	0.976147i	$0.430336\pi$
$458$	−1.35085	+	5.91845i	−0.0631209	+	0.276551i
$459$	0.266741	+	0.334483i	0.0124504	+	0.0156123i
$460$	3.47446	−	1.67321i	0.161997	−	0.0780138i
$461$	9.29469	+	11.6552i	0.432897	+	0.542835i	0.949656	−	0.313296i	$-0.101433\pi$
$461$	9.29469	+	11.6552i	0.432897	+	0.542835i	−0.516759	+	0.856131i	$0.672862\pi$
$462$	−1.35096	−	5.91895i	−0.0628525	−	0.275375i
$463$	2.67919	+	1.29023i	0.124513	+	0.0599622i	0.495103	−	0.868834i	$-0.335130\pi$
$463$	2.67919	+	1.29023i	0.124513	+	0.0599622i	−0.370590	+	0.928796i	$0.620845\pi$
$464$	−1.35762	−	5.94813i	−0.0630260	−	0.276135i
$465$	6.39683	−	3.08055i	0.296646	−	0.142857i
$466$	−13.3806			−0.619845
$467$	−18.5114			−0.856606			−0.428303	−	0.903635i	$-0.640888\pi$
$467$	−18.5114			−0.856606			−0.428303	+	0.903635i	$0.640888\pi$
$468$	9.55572	−	4.60179i	0.441713	−	0.212718i
$469$	−4.71488	+	20.6572i	−0.217713	+	0.953862i
$470$	5.23874	−	6.56917i	0.241645	−	0.303013i
$471$	−4.81035	−	6.03198i	−0.221649	−	0.277939i
$472$	4.01784			0.184936
$473$	20.9187	+	3.14588i	0.961843	+	0.144648i
$474$	−9.70699			−0.445857
$475$	4.51106	+	5.65669i	0.206982	+	0.259547i
$476$	0.111932	−	0.140358i	0.00513038	−	0.00643330i
$477$	2.82572	−	12.3803i	0.129381	−	0.566854i
$478$	15.0350	−	7.24049i	0.687686	−	0.331172i
$479$	−14.6251			−0.668238			−0.334119	−	0.942531i	$-0.608439\pi$
$479$	−14.6251			−0.668238			−0.334119	+	0.942531i	$0.608439\pi$
$480$	0.935481			0.0426986
$481$	41.9716	−	20.2125i	1.91374	−	0.921609i
$482$	2.09004	+	9.15705i	0.0951986	+	0.417092i
$483$	−6.53887	−	3.14895i	−0.297529	−	0.143282i
$484$	0.132019	+	0.578412i	0.00600085	+	0.0262915i
$485$	7.42364	+	9.30895i	0.337090	+	0.422698i
$486$	−14.5511	+	7.00743i	−0.660050	+	0.317863i
$487$	13.4043	+	16.8085i	0.607409	+	0.761667i	0.986512	−	0.163688i	$-0.0523389\pi$
$487$	13.4043	+	16.8085i	0.607409	+	0.761667i	−0.379103	+	0.925354i	$0.623767\pi$
$488$	3.37729	−	14.7969i	0.152883	−	0.669824i
$489$	−3.45851	−	1.66553i	−0.156399	−	0.0753180i
$490$	−2.66032	−	1.28114i	−0.120181	−	0.0578761i
$491$	0.946972	−	1.18747i	0.0427363	−	0.0535896i	−0.760004	−	0.649918i	$-0.774803\pi$
$491$	0.946972	−	1.18747i	0.0427363	−	0.0535896i	0.802740	+	0.596329i	$0.203375\pi$
$492$	1.02979	−	4.51182i	0.0464267	−	0.203409i
$493$	−0.121150	−	0.530791i	−0.00545630	−	0.0239056i
$494$	−22.5164	+	28.2346i	−1.01306	+	1.27034i
$495$	−4.27385	+	5.35924i	−0.192095	+	0.240880i
$496$	−1.68885	−	7.39933i	−0.0758316	−	0.332240i
$497$	−5.89528	+	25.8289i	−0.264439	+	1.15858i
$498$	4.64402	−	5.82342i	0.208104	−	0.260954i
$499$	30.5069	+	14.6913i	1.36567	+	0.657674i	0.965894	−	0.258937i	$-0.0833722\pi$
$499$	30.5069	+	14.6913i	1.36567	+	0.657674i	0.399780	+	0.916611i	$0.369087\pi$
$500$	−0.900969	−	0.433884i	−0.0402926	−	0.0194039i
$501$	−2.70139	+	11.8356i	−0.120689	+	0.528773i
$502$	7.75748	+	9.72757i	0.346233	+	0.434163i
$503$	−23.9106	+	11.5147i	−1.06612	+	0.513416i	−0.882854	−	0.469648i	$-0.844381\pi$
$503$	−23.9106	+	11.5147i	−1.06612	+	0.513416i	−0.183265	+	0.983064i	$0.558667\pi$
$504$	2.66529	+	3.34216i	0.118721	+	0.148872i
$505$	0.396147	+	1.73563i	0.0176283	+	0.0772347i
$506$	−11.2084	−	5.39768i	−0.498274	−	0.239956i
$507$	2.48003	+	10.8657i	0.110142	+	0.482563i
$508$	−6.93648	+	3.34043i	−0.307756	+	0.148208i
$509$	−7.50540			−0.332671			−0.166336	−	0.986069i	$-0.553193\pi$
$509$	−7.50540			−0.332671			−0.166336	+	0.986069i	$0.553193\pi$
$510$	0.0834791			0.00369652
$511$	21.1071	−	10.1646i	0.933723	−	0.449657i
$512$	0.222521	−	0.974928i	0.00983413	−	0.0430861i
$513$	21.6270	−	27.1194i	0.954856	−	1.19735i
$514$	−5.79168	−	7.26254i	−0.255460	−	0.320337i
$515$	−2.31606			−0.102058
$516$	5.86122	−	1.81008i	0.258026	−	0.0796843i
$517$	−27.1053			−1.19209
$518$	11.7067	+	14.6798i	0.514365	+	0.644993i
$519$	−3.57340	+	4.48090i	−0.156855	+	0.196690i
$520$	1.11069	−	4.86623i	0.0487068	−	0.213398i
$521$	36.0745	−	17.3726i	1.58045	−	0.761106i	0.581818	−	0.813319i	$-0.302342\pi$
$521$	36.0745	−	17.3726i	1.58045	−	0.761106i	0.998636	+	0.0522126i	$0.0166274\pi$
$522$	12.9641			0.567422
$523$	−29.7582			−1.30124			−0.650619	−	0.759405i	$-0.725490\pi$
$523$	−29.7582			−1.30124			−0.650619	+	0.759405i	$0.725490\pi$
$524$	6.70287	−	3.22793i	0.292816	−	0.141013i
$525$	0.418781	+	1.83480i	0.0182771	+	0.0800771i
$526$	4.61332	+	2.22166i	0.201150	+	0.0968688i
$527$	−0.150707	−	0.660291i	−0.00656491	−	0.0287627i
$528$	−1.88157	−	2.35942i	−0.0818849	−	0.102680i
$529$	7.32354	−	3.52683i	0.318415	−	0.153341i
$530$	−3.72609	−	4.67237i	−0.161851	−	0.202955i
$531$	−1.89975	+	8.32336i	−0.0824422	+	0.361203i
$532$	−13.1141	−	6.31544i	−0.568570	−	0.273809i
$533$	−22.2472	−	10.7137i	−0.963631	−	0.464060i
$534$	6.90898	−	8.66359i	0.298981	−	0.374910i
$535$	−1.98476	+	8.69580i	−0.0858087	+	0.375952i
$536$	2.34363	+	10.2681i	0.101230	+	0.443515i
$537$	−8.72257	+	10.9378i	−0.376407	+	0.471999i
$538$	−3.15863	+	3.96079i	−0.136178	+	0.170762i
$539$	2.11959	+	9.28653i	0.0912972	+	0.399999i
$540$	−1.06681	+	4.67402i	−0.0459084	+	0.201138i
$541$	−17.9377	+	22.4932i	−0.771204	+	0.967059i	−0.999979	−	0.00642045i	$-0.997956\pi$
$541$	−17.9377	+	22.4932i	−0.771204	+	0.967059i	0.228776	+	0.973479i	$0.426528\pi$
$542$	11.9627	+	5.76095i	0.513843	+	0.247454i
$543$	−11.4302	−	5.50450i	−0.490518	−	0.236221i
$544$	0.0198570	−	0.0869992i	0.000851362	−	0.00373006i
$545$	−3.92848	−	4.92616i	−0.168278	−	0.211013i
$546$	−8.46341	+	4.07577i	−0.362201	+	0.174427i
$547$	18.6960	+	23.4441i	0.799385	+	1.00240i	0.999743	+	0.0226744i	$0.00721812\pi$
$547$	18.6960	+	23.4441i	0.799385	+	1.00240i	−0.200358	+	0.979723i	$0.564210\pi$
$548$	0.820583	+	3.59521i	0.0350536	+	0.153580i
$549$	29.0564	+	13.9928i	1.24010	+	0.597199i
$550$	0.717840	+	3.14506i	0.0306088	+	0.134106i
$551$	−39.7710	+	19.1527i	−1.69430	+	0.815933i
$552$	−3.60755			−0.153547
$553$	−20.8752			−0.887704
$554$	−13.3384	+	6.42345i	−0.566695	+	0.272906i
$555$	−1.94281	+	8.51203i	−0.0824679	+	0.361315i
$556$	−11.9018	+	14.9243i	−0.504747	+	0.632933i
$557$	−23.8115	−	29.8587i	−1.00893	−	1.26515i	−0.963927	−	0.266166i	$-0.914243\pi$
$557$	−23.8115	−	29.8587i	−1.00893	−	1.26515i	−0.0449985	−	0.998987i	$-0.514328\pi$
$558$	16.1270			0.682711
$559$	−2.45680	−	32.6383i	−0.103912	−	1.38045i
$560$	2.01178			0.0850133
$561$	−0.167905	−	0.210546i	−0.00708896	−	0.00888927i
$562$	4.18927	−	5.25318i	0.176714	−	0.221592i
$563$	−3.60192	+	15.7810i	−0.151803	+	0.665092i	0.840558	+	0.541722i	$0.182227\pi$
$563$	−3.60192	+	15.7810i	−0.151803	+	0.665092i	−0.992361	+	0.123370i	$0.960630\pi$
$564$	−7.08177	+	3.41040i	−0.298196	+	0.143604i
$565$	10.4824			0.440997
$566$	13.6402			0.573342
$567$	−3.42523	+	1.64950i	−0.143846	+	0.0692727i
$568$	2.93038	+	12.8388i	0.122956	+	0.538705i
$569$	−15.3763	−	7.40485i	−0.644610	−	0.310428i	0.0828665	−	0.996561i	$-0.473593\pi$
$569$	−15.3763	−	7.40485i	−0.644610	−	0.310428i	−0.727476	+	0.686133i	$0.759307\pi$
$570$	−1.50610	−	6.59867i	−0.0630837	−	0.276388i
$571$	2.23474	+	2.80228i	0.0935210	+	0.117272i	0.826390	−	0.563098i	$-0.190391\pi$
$571$	2.23474	+	2.80228i	0.0935210	+	0.117272i	−0.732869	+	0.680370i	$0.761819\pi$
$572$	−14.5073	+	6.98635i	−0.606581	+	0.292114i
$573$	−4.06468	−	5.09695i	−0.169805	−	0.212928i
$574$	2.21461	−	9.70282i	0.0924358	−	0.404988i
$575$	3.47446	+	1.67321i	0.144895	+	0.0697777i
$576$	1.91445	+	0.921949i	0.0797686	+	0.0384146i
$577$	−11.0640	+	13.8738i	−0.460600	+	0.577574i	−0.956841	−	0.290611i	$-0.906142\pi$
$577$	−11.0640	+	13.8738i	−0.460600	+	0.577574i	0.496242	+	0.868184i	$0.334713\pi$
$578$	−3.78108	+	16.5660i	−0.157272	+	0.689055i
$579$	−5.45724	−	23.9097i	−0.226795	−	0.993654i
$580$	3.80397	−	4.77003i	0.157951	−	0.198065i
$581$	9.98713	−	12.5235i	0.414336	−	0.519561i
$582$	−2.47852	−	10.8591i	−0.102738	−	0.450125i
$583$	−4.28995	+	18.7955i	−0.177671	+	0.778430i
$584$	7.26051	−	9.10440i	0.300442	−	0.376743i
$585$	9.55572	+	4.60179i	0.395080	+	0.190261i
$586$	18.5212	+	8.91933i	0.765103	+	0.368454i
$587$	0.627626	−	2.74981i	0.0259049	−	0.113497i	−0.960322	−	0.278892i	$-0.910033\pi$
$587$	0.627626	−	2.74981i	0.0259049	−	0.113497i	0.986227	+	0.165395i	$0.0528900\pi$
$588$	1.72222	+	2.15959i	0.0710231	+	0.0890601i
$589$	−49.4742	+	23.8255i	−2.03855	+	0.981714i
$590$	2.50508	+	3.14127i	0.103133	+	0.129324i
$591$	−3.51057	−	15.3808i	−0.144405	−	0.632682i
$592$	8.40883	+	4.04948i	0.345601	+	0.166433i
$593$	−4.17975	−	18.3127i	−0.171642	−	0.752012i	−0.985323	−	0.170700i	$-0.945397\pi$
$593$	−4.17975	−	18.3127i	−0.171642	−	0.752012i	0.813681	−	0.581311i	$-0.197460\pi$
$594$	13.9343	−	6.71040i	0.571731	−	0.275331i
$595$	0.179525			0.00735979
$596$	22.3842			0.916894
$597$	−17.0277	+	8.20009i	−0.696895	+	0.335607i
$598$	−4.28320	+	18.7659i	−0.175153	+	0.767395i
$599$	1.82476	−	2.28817i	0.0745576	−	0.0934922i	−0.743154	−	0.669120i	$-0.766671\pi$
$599$	1.82476	−	2.28817i	0.0745576	−	0.0934922i	0.817712	+	0.575628i	$0.195242\pi$
$600$	0.583263	+	0.731388i	0.0238116	+	0.0298588i
$601$	26.4236			1.07784			0.538921	−	0.842357i	$-0.318832\pi$
$601$	26.4236			1.07784			0.538921	+	0.842357i	$0.318832\pi$
$602$	12.6048	−	3.89264i	0.513732	−	0.158652i
$603$	−22.3796			−0.911368
$604$	2.83134	+	3.55039i	0.115205	+	0.144463i
$605$	−0.369908	+	0.463850i	−0.0150389	+	0.0188582i
$606$	0.370588	−	1.62365i	0.0150541	−	0.0659563i
$607$	21.8114	−	10.5038i	0.885298	−	0.426337i	0.0647413	−	0.997902i	$-0.479378\pi$
$607$	21.8114	−	10.5038i	0.885298	−	0.426337i	0.820557	+	0.571565i	$0.193664\pi$
$608$	−7.23518			−0.293425
$609$	−11.4822			−0.465281
$610$	13.6744	−	6.58524i	0.553660	−	0.266628i
$611$	9.33229	+	40.8874i	0.377544	+	1.65413i
$612$	0.170839	+	0.0822716i	0.00690575	+	0.00332563i
$613$	5.32392	+	23.3256i	0.215031	+	0.942114i	0.961090	+	0.276234i	$0.0890865\pi$
$613$	5.32392	+	23.3256i	0.215031	+	0.942114i	−0.746059	+	0.665880i	$0.768056\pi$
$614$	−2.17548	−	2.72797i	−0.0877952	−	0.110092i
$615$	4.16955	−	2.00795i	0.168132	−	0.0809683i
$616$	−4.04638	−	5.07400i	−0.163033	−	0.204437i
$617$	9.13586	−	40.0268i	0.367796	−	1.61142i	−0.365025	−	0.930998i	$-0.618939\pi$
$617$	9.13586	−	40.0268i	0.367796	−	1.61142i	0.732821	−	0.680422i	$-0.238203\pi$
$618$	1.95206	+	0.940064i	0.0785235	+	0.0378149i
$619$	3.47442	+	1.67319i	0.139649	+	0.0672513i	0.502403	−	0.864633i	$-0.332449\pi$
$619$	3.47442	+	1.67319i	0.139649	+	0.0672513i	−0.362754	+	0.931885i	$0.618164\pi$
$620$	4.73205	−	5.93380i	0.190044	−	0.238307i
$621$	4.11402	−	18.0247i	0.165090	−	0.723306i
$622$	3.88873	+	17.0377i	0.155924	+	0.683148i
$623$	14.8580	−	18.6313i	0.595273	−	0.746449i
$624$	−2.91128	+	3.65063i	−0.116545	+	0.146142i
$625$	−0.222521	−	0.974928i	−0.00890084	−	0.0389971i
$626$	1.12904	−	4.94666i	0.0451256	−	0.197708i
$627$	−13.6135	+	17.0708i	−0.543671	+	0.681742i
$628$	−7.43057	−	3.57837i	−0.296512	−	0.142793i
$629$	0.750375	+	0.361362i	0.0299194	+	0.0144084i
$630$	−0.951230	+	4.16761i	−0.0378979	+	0.166042i
$631$	4.16890	+	5.22764i	0.165961	+	0.208109i	0.857857	−	0.513889i	$-0.171796\pi$
$631$	4.16890	+	5.22764i	0.165961	+	0.208109i	−0.691896	+	0.721998i	$0.743224\pi$
$632$	−9.34888	+	4.50218i	−0.371879	+	0.179087i
$633$	11.8476	+	14.8564i	0.470901	+	0.590491i
$634$	−5.16380	−	22.6241i	−0.205081	−	0.898517i
$635$	−6.93648	−	3.34043i	−0.275266	−	0.132561i
$636$	1.24403	+	5.45044i	0.0493289	+	0.216124i
$637$	13.2787	−	6.39466i	0.526119	−	0.253366i
$638$	−19.6818			−0.779210
$639$	−27.9825			−1.10697
$640$	0.900969	−	0.433884i	0.0356139	−	0.0171508i
$641$	−7.46783	+	32.7187i	−0.294961	+	1.29231i	0.582566	+	0.812783i	$0.302049\pi$
$641$	−7.46783	+	32.7187i	−0.294961	+	1.29231i	−0.877527	+	0.479527i	$0.840808\pi$
$642$	5.20237	−	6.52357i	0.205321	−	0.257465i
$643$	10.4580	+	13.1139i	0.412422	+	0.517161i	0.944043	−	0.329821i	$-0.106988\pi$
$643$	10.4580	+	13.1139i	0.412422	+	0.517161i	−0.531621	+	0.846982i	$0.678417\pi$
$644$	−7.75815			−0.305714
$645$	5.06959	+	3.45392i	0.199615	+	0.135998i
$646$	−0.645642			−0.0254025
$647$	4.29987	+	5.39187i	0.169045	+	0.211976i	0.859137	−	0.511746i	$-0.171001\pi$
$647$	4.29987	+	5.39187i	0.169045	+	0.211976i	−0.690091	+	0.723722i	$0.742430\pi$
$648$	−1.17823	+	1.47745i	−0.0462851	+	0.0580397i
$649$	2.88416	−	12.6364i	0.113213	−	0.496020i
$650$	4.49707	−	2.16568i	0.176390	−	0.0849448i
$651$	−14.2835			−0.559816
$652$	−4.10341			−0.160702
$653$	−11.6648	+	5.61747i	−0.456479	+	0.219829i	−0.647970	−	0.761666i	$-0.724382\pi$
$653$	−11.6648	+	5.61747i	−0.456479	+	0.219829i	0.191491	+	0.981494i	$0.438668\pi$
$654$	1.31160	+	5.74649i	0.0512876	+	0.224705i
$655$	6.70287	+	3.22793i	0.261903	+	0.126126i
$656$	−1.10082	−	4.82300i	−0.0429797	−	0.188306i
$657$	15.4277	+	19.3457i	0.601892	+	0.754748i
$658$	−15.2296	+	7.33418i	−0.593711	+	0.285916i
$659$	9.34169	+	11.7141i	0.363901	+	0.456317i	0.929750	−	0.368192i	$-0.120023\pi$
$659$	9.34169	+	11.7141i	0.363901	+	0.456317i	−0.565849	+	0.824509i	$0.691452\pi$
$660$	0.671525	−	2.94214i	0.0261391	−	0.114523i
$661$	40.1554	+	19.3378i	1.56186	+	0.752154i	0.997314	−	0.0732450i	$-0.0233355\pi$
$661$	40.1554	+	19.3378i	1.56186	+	0.752154i	0.564550	+	0.825399i	$0.309050\pi$
$662$	−11.3715	−	5.47625i	−0.441968	−	0.212840i
$663$	−0.259793	+	0.325770i	−0.0100895	+	0.0126519i
$664$	1.77174	−	7.76252i	0.0687570	−	0.301244i
$665$	−3.23892	−	14.1907i	−0.125600	−	0.550290i
$666$	−12.3648	+	15.5050i	−0.479128	+	0.600808i
$667$	−14.6695	+	18.3949i	−0.568004	+	0.712254i
$668$	2.88770	+	12.6518i	0.111728	+	0.489514i
$669$	−2.48331	+	10.8801i	−0.0960103	+	0.420648i
$670$	−6.56671	+	8.23440i	−0.253694	+	0.318122i
$671$	−44.1128	−	21.2436i	−1.70296	−	0.820100i
$672$	−1.69561	−	0.816562i	−0.0654095	−	0.0314996i
$673$	−4.98735	+	21.8510i	−0.192248	+	0.842294i	0.783148	+	0.621835i	$0.213613\pi$
$673$	−4.98735	+	21.8510i	−0.192248	+	0.842294i	−0.975396	+	0.220459i	$0.929245\pi$
$674$	−6.75362	−	8.46878i	−0.260140	−	0.326205i
$675$	−4.31944	+	2.08013i	−0.166256	+	0.0800644i
$676$	7.42814	+	9.31459i	0.285698	+	0.358254i
$677$	4.18015	+	18.3144i	0.160656	+	0.703881i	0.989516	+	0.144424i	$0.0461331\pi$
$677$	4.18015	+	18.3144i	0.160656	+	0.703881i	−0.828860	+	0.559457i	$0.811010\pi$
$678$	−8.83496	−	4.25469i	−0.339305	−	0.163401i
$679$	−5.33015	−	23.3529i	−0.204552	−	0.896202i
$680$	0.0803994	−	0.0387183i	0.00308318	−	0.00148478i
$681$	−16.9702			−0.650299
$682$	−24.4837			−0.937529
$683$	14.6818	−	7.07041i	0.561785	−	0.270542i	−0.131366	−	0.991334i	$-0.541936\pi$
$683$	14.6818	−	7.07041i	0.561785	−	0.270542i	0.693151	+	0.720792i	$0.256222\pi$
$684$	3.42100	−	14.9884i	0.130805	−	0.573096i
$685$	−2.29922	+	2.88313i	−0.0878488	+	0.110159i
$686$	12.4840	+	15.6544i	0.476640	+	0.597688i
$687$	5.67898			0.216666
$688$	4.80546	−	4.46179i	0.183207	−	0.170104i
$689$	29.8294			1.13641
$690$	−2.24927	−	2.82049i	−0.0856282	−	0.107374i
$691$	10.1665	−	12.7484i	0.386753	−	0.484973i	−0.549901	−	0.835230i	$-0.685334\pi$
$691$	10.1665	−	12.7484i	0.386753	−	0.484973i	0.936653	+	0.350257i	$0.113906\pi$
$692$	−1.36329	+	5.97296i	−0.0518245	+	0.227058i
$693$	12.4246	−	5.98335i	0.471970	−	0.227289i
$694$	−0.350185			−0.0132928
$695$	−19.0889			−0.724085
$696$	−5.14224	+	2.47637i	−0.194916	+	0.0938667i
$697$	−0.0982332	−	0.430388i	−0.00372085	−	0.0163021i
$698$	15.8170	+	7.61705i	0.598681	+	0.288310i
$699$	2.78536	+	12.2035i	0.105352	+	0.461577i
$700$	1.25433	+	1.57287i	0.0474091	+	0.0594491i
$701$	−27.1249	+	13.0626i	−1.02449	+	0.493369i	−0.869180	−	0.494496i	$-0.835353\pi$
$701$	−27.1249	+	13.0626i	−1.02449	+	0.493369i	−0.155312	+	0.987865i	$0.549638\pi$
$702$	−14.9200	−	18.7090i	−0.563118	−	0.706127i
$703$	15.0261	−	65.8335i	0.566719	−	2.48296i
$704$	−2.90647	−	1.39968i	−0.109542	−	0.0527526i
$705$	−7.08177	−	3.41040i	−0.266715	−	0.128443i
$706$	12.0662	−	15.1305i	0.454116	−	0.569444i
$707$	0.796962	−	3.49172i	0.0299728	−	0.131320i
$708$	−0.836369	−	3.66437i	−0.0314327	−	0.137716i
$709$	1.33035	−	1.66820i	0.0499622	−	0.0626506i	−0.756223	−	0.654314i	$-0.772957\pi$
$709$	1.33035	−	1.66820i	0.0499622	−	0.0626506i	0.806185	+	0.591664i	$0.201529\pi$
$710$	−8.21073	+	10.2959i	−0.308143	+	0.386399i
$711$	−4.90630	−	21.4959i	−0.184001	−	0.806160i
$712$	2.63585	−	11.5484i	0.0987827	−	0.432795i
$713$	−18.2485	+	22.8829i	−0.683411	+	0.856970i
$714$	−0.151310	−	0.0728672i	−0.00566264	−	0.00272699i
$715$	−14.5073	−	6.98635i	−0.542542	−	0.261275i
$716$	−3.32775	+	14.5798i	−0.124364	+	0.544874i
$717$	−9.73326	−	12.2051i	−0.363495	−	0.455809i
$718$	−0.882017	+	0.424757i	−0.0329166	+	0.0158518i
$719$	8.51215	+	10.6739i	0.317450	+	0.398069i	0.914797	−	0.403913i	$-0.132350\pi$
$719$	8.51215	+	10.6739i	0.317450	+	0.398069i	−0.597348	+	0.801982i	$0.703779\pi$
$720$	0.472829	+	2.07160i	0.0176213	+	0.0772040i
$721$	4.19798	+	2.02164i	0.156341	+	0.0752898i
$722$	7.42058	+	32.5117i	0.276165	+	1.20996i
$723$	7.91640	−	3.81234i	0.294414	−	0.141782i
$724$	−13.5616			−0.504012
$725$	6.10110			0.226589
$726$	0.500045	−	0.240809i	0.0185584	−	0.00893726i
$727$	6.20954	−	27.2058i	0.230299	−	1.00901i	−0.719093	−	0.694914i	$-0.755442\pi$
$727$	6.20954	−	27.2058i	0.230299	−	1.00901i	0.949392	−	0.314093i	$-0.101700\pi$
$728$	−6.26081	+	7.85081i	−0.232041	+	0.290970i
$729$	5.88529	+	7.37992i	0.217974	+	0.273330i
$730$	11.6450			0.430999
$731$	0.428823	−	0.398155i	0.0158606	−	0.0147263i
$732$	−14.1982			−0.524780
$733$	−13.3974	−	16.7998i	−0.494845	−	0.620516i	0.470213	−	0.882553i	$-0.344177\pi$
$733$	−13.3974	−	16.7998i	−0.494845	−	0.620516i	−0.965058	+	0.262037i	$0.915606\pi$
$734$	12.0266	−	15.0808i	0.443908	−	0.556643i
$735$	−0.614653	+	2.69297i	−0.0226718	+	0.0993317i
$736$	−3.47446	+	1.67321i	−0.128070	+	0.0616753i
$737$	33.9762			1.25153
$738$	10.5118			0.386946
$739$	28.0869	−	13.5259i	1.03319	−	0.497559i	0.161119	−	0.986935i	$-0.448490\pi$
$739$	28.0869	−	13.5259i	1.03319	−	0.497559i	0.872073	+	0.489376i	$0.162775\pi$
$740$	2.07681	+	9.09909i	0.0763450	+	0.334489i
$741$	30.4378	+	14.6581i	1.11816	+	0.538478i
$742$	2.67532	+	11.7214i	0.0982142	+	0.430304i
$743$	14.9631	+	18.7631i	0.548942	+	0.688352i	0.976471	−	0.215650i	$-0.0691871\pi$
$743$	14.9631	+	18.7631i	0.548942	+	0.688352i	−0.427529	+	0.904002i	$0.640616\pi$
$744$	−6.39683	+	3.08055i	−0.234519	+	0.112938i
$745$	13.9563	+	17.5007i	0.511321	+	0.641176i
$746$	−0.934554	+	4.09455i	−0.0342164	+	0.149912i
$747$	15.2431	+	7.34070i	0.557716	+	0.268582i
$748$	−0.259364	−	0.124903i	−0.00948328	−	0.00456691i
$749$	11.1879	−	14.0291i	0.408796	−	0.512614i
$750$	−0.208164	+	0.912026i	−0.00760107	+	0.0333025i
$751$	−11.3056	−	49.5330i	−0.412546	−	1.80748i	−0.571972	−	0.820273i	$-0.693821\pi$
$751$	−11.3056	−	49.5330i	−0.412546	−	1.80748i	0.159425	−	0.987210i	$-0.449036\pi$
$752$	−5.23874	+	6.56917i	−0.191037	+	0.239553i
$753$	7.25697	−	9.09995i	0.264459	−	0.331621i
$754$	6.77640	+	29.6893i	0.246782	+	1.08122i
$755$	−1.01049	+	4.42726i	−0.0367756	+	0.161124i
$756$	6.01352	−	7.54071i	0.218709	−	0.274253i
$757$	10.9892	+	5.29214i	0.399411	+	0.192346i	0.622796	−	0.782384i	$-0.285997\pi$
$757$	10.9892	+	5.29214i	0.399411	+	0.192346i	−0.223385	+	0.974730i	$0.571711\pi$
$758$	−3.78218	−	1.82140i	−0.137375	−	0.0661563i
$759$	−2.58964	+	11.3460i	−0.0939980	+	0.411832i
$760$	−4.51106	−	5.65669i	−0.163633	−	0.205190i
$761$	−11.6752	+	5.62247i	−0.423225	+	0.203814i	−0.633359	−	0.773858i	$-0.718324\pi$
$761$	−11.6752	+	5.62247i	−0.423225	+	0.203814i	0.210134	+	0.977673i	$0.432610\pi$
$762$	4.49049	+	5.63089i	0.162673	+	0.203986i
$763$	2.82064	+	12.3580i	0.102114	+	0.447390i
$764$	−6.27874	−	3.02368i	−0.227157	−	0.109393i
$765$	0.0421937	+	0.184863i	0.00152552	+	0.00668372i
$766$	1.44217	−	0.694515i	0.0521079	−	0.0250938i
$767$	−20.0545			−0.724127
$768$	−0.935481			−0.0337562
$769$	14.0980	−	6.78923i	0.508386	−	0.244826i	−0.162064	−	0.986780i	$-0.551815\pi$
$769$	14.0980	−	6.78923i	0.508386	−	0.244826i	0.670450	+	0.741954i	$0.266101\pi$
$770$	1.44414	−	6.32718i	0.0520431	−	0.228016i
$771$	−5.41800	+	6.79396i	−0.195125	+	0.244679i
$772$	−16.3454	−	20.4965i	−0.588285	−	0.737686i
$773$	23.8891			0.859232			0.429616	−	0.903012i	$-0.358649\pi$
$773$	23.8891			0.859232			0.429616	+	0.903012i	$0.358649\pi$
$774$	6.97088	+	12.0647i	0.250563	+	0.433655i
$775$	7.58962			0.272627
$776$	−7.42364	−	9.30895i	−0.266493	−	0.334172i
$777$	10.9514	−	13.7327i	0.392880	−	0.492656i
$778$	−7.67267	+	33.6162i	−0.275078	+	1.20520i
$779$	−32.2480	+	15.5298i	−1.15541	+	0.556414i
$780$	−4.66933			−0.167189
$781$	42.4824			1.52014
$782$	−0.310049	+	0.149312i	−0.0110873	+	0.00533937i
$783$	−6.50874	−	28.5166i	−0.232603	−	1.01910i
$784$	2.66032	+	1.28114i	0.0950114	+	0.0457551i
$785$	−1.83520	−	8.04053i	−0.0655011	−	0.286979i
$786$	−4.33925	−	5.44125i	−0.154776	−	0.194083i
$787$	−12.0989	+	5.82652i	−0.431279	+	0.207693i	−0.636913	−	0.770936i	$-0.719789\pi$
$787$	−12.0989	+	5.82652i	−0.431279	+	0.207693i	0.205633	+	0.978629i	$0.434075\pi$
$788$	−10.5148	−	13.1851i	−0.374574	−	0.469701i
$789$	1.06588	−	4.66993i	0.0379464	−	0.166254i
$790$	−9.34888	−	4.50218i	−0.332618	−	0.160181i
$791$	−18.9999	−	9.14986i	−0.675558	−	0.325332i
$792$	4.27385	−	5.35924i	0.151865	−	0.190432i
$793$	−16.8573	+	73.8568i	−0.598622	+	2.62273i
$794$	−2.70482	−	11.8506i	−0.0959905	−	0.420562i
$795$	−3.48569	+	4.37091i	−0.123625	+	0.155020i
$796$	−12.5962	+	15.7951i	−0.446461	+	0.559844i
$797$	9.46747	+	41.4797i	0.335355	+	1.46929i	0.808602	+	0.588356i	$0.200225\pi$
$797$	9.46747	+	41.4797i	0.335355	+	1.46929i	−0.473247	+	0.880930i	$0.656918\pi$
$798$	−3.02995	+	13.2751i	−0.107259	+	0.469933i
$799$	−0.467487	+	0.586210i	−0.0165385	+	0.0207386i
$800$	0.900969	+	0.433884i	0.0318541	+	0.0153401i
$801$	22.6774	+	10.9209i	0.801267	+	0.385870i
$802$	3.54138	−	15.5158i	0.125050	−	0.547881i
$803$	−23.4220	−	29.3703i	−0.826545	−	1.03645i
$804$	8.87694	−	4.27491i	0.313065	−	0.150764i
$805$	−4.83713	−	6.06556i	−0.170486	−	0.213783i
$806$	8.42968	+	36.9328i	0.296923	+	1.30090i
$807$	4.26986	+	2.05626i	0.150306	+	0.0723837i
$808$	−0.396147	−	1.73563i	−0.0139364	−	0.0610594i
$809$	15.1079	−	7.27560i	0.531167	−	0.255797i	−0.149021	−	0.988834i	$-0.547612\pi$
$809$	15.1079	−	7.27560i	0.531167	−	0.255797i	0.680188	+	0.733037i	$0.261898\pi$
$810$	−1.88973			−0.0663983
$811$	54.4470			1.91189			0.955946	−	0.293543i	$-0.0948343\pi$
$811$	54.4470			1.91189			0.955946	+	0.293543i	$0.0948343\pi$
$812$	−11.0586	+	5.32552i	−0.388079	+	0.186889i
$813$	2.76392	−	12.1095i	0.0969350	−	0.424700i
$814$	18.7721	−	23.5394i	0.657960	−	0.825056i
$815$	−2.55844	−	3.20818i	−0.0896181	−	0.112378i
$816$	−0.0834791			−0.00292235
$817$	−39.2091	−	26.7133i	−1.37175	−	0.934579i
$818$	−18.2348			−0.637565
$819$	−13.3034	−	16.6820i	−0.464860	−	0.582916i
$820$	3.08442	−	3.86774i	0.107713	−	0.135067i
$821$	3.99597	−	17.5075i	0.139460	−	0.611015i	−0.856094	−	0.516821i	$-0.827115\pi$
$821$	3.99597	−	17.5075i	0.139460	−	0.611015i	0.995554	−	0.0941942i	$-0.0300275\pi$
$822$	3.10811	−	1.49679i	0.108408	−	0.0522064i
$823$	24.7090			0.861301			0.430651	−	0.902519i	$-0.358284\pi$
$823$	24.7090			0.861301			0.430651	+	0.902519i	$0.358284\pi$
$824$	2.31606			0.0806837
$825$	2.71895	−	1.30938i	0.0946617	−	0.0455867i
$826$	−1.79864	−	7.88036i	−0.0625827	−	0.274193i
$827$	6.44033	+	3.10150i	0.223952	+	0.107850i	0.542496	−	0.840058i	$-0.317479\pi$
$827$	6.44033	+	3.10150i	0.223952	+	0.107850i	−0.318544	+	0.947908i	$0.603194\pi$
$828$	−1.82340	−	7.98883i	−0.0633675	−	0.277631i
$829$	17.8578	+	22.3929i	0.620226	+	0.777739i	0.988376	−	0.152027i	$-0.0485801\pi$
$829$	17.8578	+	22.3929i	0.620226	+	0.777739i	−0.368150	+	0.929766i	$0.620009\pi$
$830$	7.17365	−	3.45465i	0.249001	−	0.119913i
$831$	8.63493	+	10.8279i	0.299542	+	0.375614i
$832$	−1.11069	+	4.86623i	−0.0385061	+	0.168706i
$833$	0.237398	+	0.114325i	0.00822535	+	0.00396112i
$834$	16.0889	+	7.74801i	0.557113	+	0.268292i
$835$	−8.09116	+	10.1460i	−0.280006	+	0.351116i
$836$	−5.19370	+	22.7551i	−0.179628	+	0.787001i
$837$	−8.09672	−	35.4740i	−0.279864	−	1.22616i
$838$	−16.9681	+	21.2774i	−0.586155	+	0.735015i
$839$	−18.9239	+	23.7298i	−0.653325	+	0.819244i	−0.992598	−	0.121444i	$-0.961248\pi$
$839$	−18.9239	+	23.7298i	−0.653325	+	0.819244i	0.339273	+	0.940688i	$0.389819\pi$
$840$	−0.418781	−	1.83480i	−0.0144493	−	0.0633065i
$841$	−1.82987	+	8.01719i	−0.0630990	+	0.276455i
$842$	5.04273	−	6.32338i	0.173784	−	0.217918i
$843$	−5.66310	−	2.72720i	−0.195047	−	0.0939299i
$844$	18.3011	+	8.81334i	0.629949	+	0.303368i
$845$	−2.65107	+	11.6151i	−0.0911997	+	0.399572i
$846$	−11.1317	−	13.9587i	−0.382715	−	0.479909i
$847$	1.07536	−	0.517868i	0.0369499	−	0.0177942i
$848$	3.72609	+	4.67237i	0.127955	+	0.160450i
$849$	−2.83941	−	12.4403i	−0.0974482	−	0.426948i
$850$	0.0803994	+	0.0387183i	0.00275768	+	0.00132803i
$851$	−8.00891	−	35.0893i	−0.274542	−	1.20285i
$852$	11.0993	−	5.34516i	0.380257	−	0.183122i
$853$	−23.8755			−0.817482			−0.408741	−	0.912650i	$-0.634032\pi$
$853$	−23.8755			−0.817482			−0.408741	+	0.912650i	$0.634032\pi$
$854$	−30.5337			−1.04484
$855$	13.8514	−	6.67046i	0.473707	−	0.228125i
$856$	1.98476	−	8.69580i	0.0678377	−	0.297216i
$857$	25.6349	−	32.1451i	0.875670	−	1.09806i	−0.118788	−	0.992920i	$-0.537901\pi$
$857$	25.6349	−	32.1451i	0.875670	−	1.09806i	0.994458	−	0.105136i	$-0.0335278\pi$
$858$	9.39163	+	11.7767i	0.320625	+	0.402051i
$859$	9.33815			0.318613			0.159307	−	0.987229i	$-0.449074\pi$
$859$	9.33815			0.318613			0.159307	+	0.987229i	$0.449074\pi$
$860$	6.48452	+	0.975183i	0.221120	+	0.0332535i
$861$	−9.31023			−0.317292
$862$	21.6184	+	27.1086i	0.736324	+	0.923322i
$863$	9.71206	−	12.1785i	0.330602	−	0.414562i	−0.588552	−	0.808459i	$-0.700302\pi$
$863$	9.71206	−	12.1785i	0.330602	−	0.414562i	0.919155	+	0.393897i	$0.128873\pi$
$864$	1.06681	−	4.67402i	0.0362938	−	0.159013i
$865$	−5.51984	+	2.65822i	−0.187680	+	0.0903821i
$866$	−31.2347			−1.06140
$867$	15.8957			0.539847
$868$	−13.7566	+	6.62482i	−0.466929	+	0.224861i
$869$	7.44865	+	32.6347i	0.252678	+	1.10706i
$870$	−5.14224	−	2.47637i	−0.174338	−	0.0839569i
$871$	−11.6979	−	51.2521i	−0.396370	−	1.73661i
$872$	3.92848	+	4.92616i	0.133035	+	0.166821i
$873$	22.7945	−	10.9773i	0.771478	−	0.371524i
$874$	17.3962	+	21.8142i	0.588437	+	0.737876i
$875$	−0.447664	+	1.96134i	−0.0151338	+	0.0663055i
$876$	−9.81482	−	4.72657i	−0.331612	−	0.159696i
$877$	−41.9776	−	20.2153i	−1.41748	−	0.682623i	−0.440858	−	0.897577i	$-0.645326\pi$
$877$	−41.9776	−	20.2153i	−1.41748	−	0.682623i	−0.976624	+	0.214954i	$0.931040\pi$
$878$	6.26114	−	7.85122i	0.211303	−	0.264966i
$879$	4.27922	−	18.7485i	0.144334	−	0.632371i
$880$	−0.717840	−	3.14506i	−0.0241984	−	0.106020i
$881$	30.0219	−	37.6463i	1.01146	−	1.26834i	0.0484668	−	0.998825i	$-0.484566\pi$
$881$	30.0219	−	37.6463i	1.01146	−	1.26834i	0.962997	−	0.269511i	$-0.0868621\pi$
$882$	−3.91189	+	4.90536i	−0.131720	+	0.165172i
$883$	3.18326	+	13.9468i	0.107125	+	0.469346i	0.999825	+	0.0186949i	$0.00595112\pi$
$883$	3.18326	+	13.9468i	0.107125	+	0.469346i	−0.892700	+	0.450651i	$0.851192\pi$
$884$	−0.0991138	+	0.434246i	−0.00333356	+	0.0146053i
$885$	2.34345	−	2.93860i	0.0787744	−	0.0987799i
$886$	−30.3723	−	14.6265i	−1.02038	−	0.491388i
$887$	13.6828	+	6.58931i	0.459425	+	0.221247i	0.649257	−	0.760569i	$-0.275080\pi$
$887$	13.6828	+	6.58931i	0.459425	+	0.221247i	−0.189832	+	0.981817i	$0.560794\pi$
$888$	1.94281	−	8.51203i	0.0651966	−	0.285645i
$889$	9.65694	+	12.1094i	0.323883	+	0.406137i
$890$	10.6723	−	5.13953i	0.357738	−	0.172277i
$891$	3.80089	+	4.76617i	0.127335	+	0.159673i
$892$	2.65458	+	11.6305i	0.0888819	+	0.389417i
$893$	54.7717	+	26.3767i	1.83286	+	0.882661i
$894$	−4.65959	−	20.4150i	−0.155840	−	0.682780i
$895$	−13.4738	+	6.48864i	−0.450380	+	0.216891i
$896$	−2.01178			−0.0672089
$897$	18.0066			0.601223
$898$	15.0303	−	7.23823i	0.501569	−	0.241543i
$899$	−10.3038	+	45.1440i	−0.343652	+	1.50564i
$900$	−1.32484	+	1.66130i	−0.0441613	+	0.0553765i
$901$	0.332504	+	0.416947i	0.0110773	+	0.0138905i
$902$	−15.9588			−0.531371
$903$	−6.17404	−	10.6856i	−0.205459	−	0.355593i
$904$	−10.4824			−0.348639
$905$	−8.45550	−	10.6029i	−0.281070	−	0.352451i
$906$	2.64866	−	3.32132i	0.0879959	−	0.110343i
$907$	12.4295	−	54.4573i	0.412716	−	1.80823i	−0.158422	−	0.987372i	$-0.550641\pi$
$907$	12.4295	−	54.4573i	0.412716	−	1.80823i	0.571137	−	0.820854i	$-0.306502\pi$
$908$	−16.3441	+	7.87092i	−0.542399	+	0.261206i
$909$	3.78285			0.125469
$910$	−10.0416			−0.332874
$911$	8.10667	−	3.90397i	0.268586	−	0.129344i	−0.294744	−	0.955576i	$-0.595234\pi$
$911$	8.10667	−	3.90397i	0.268586	−	0.129344i	0.563330	+	0.826232i	$0.309520\pi$
$912$	1.50610	+	6.59867i	0.0498721	+	0.218504i
$913$	−23.1418	−	11.1445i	−0.765881	−	0.368829i
$914$	−5.89049	−	25.8079i	−0.194840	−	0.853650i
$915$	−8.85242	−	11.1006i	−0.292652	−	0.366974i
$916$	5.46947	−	2.63396i	0.180716	−	0.0870284i
$917$	−9.33171	−	11.7016i	−0.308160	−	0.386421i
$918$	0.0951989	−	0.417094i	0.00314203	−	0.0137661i
$919$	38.5017	+	18.5415i	1.27006	+	0.611626i	0.942816	−	0.333315i	$-0.108167\pi$
$919$	38.5017	+	18.5415i	1.27006	+	0.611626i	0.327240	+	0.944941i	$0.393882\pi$
$920$	−3.47446	−	1.67321i	−0.114549	−	0.0551641i
$921$	−2.03512	+	2.55196i	−0.0670594	+	0.0840899i
$922$	3.31724	−	14.5338i	0.109247	−	0.478644i
$923$	−14.6266	−	64.0833i	−0.481440	−	2.10933i
$924$	−3.78531	+	4.74663i	−0.124528	+	0.156153i
$925$	−5.81909	+	7.29691i	−0.191330	+	0.239921i
$926$	−0.661706	−	2.89912i	−0.0217450	−	0.0952711i
$927$	−1.09510	+	4.79795i	−0.0359678	+	0.157585i
$928$	−3.80397	+	4.77003i	−0.124871	+	0.156584i
$929$	−5.61774	−	2.70536i	−0.184312	−	0.0887600i	0.339452	−	0.940623i	$-0.389758\pi$
$929$	−5.61774	−	2.70536i	−0.184312	−	0.0887600i	−0.523764	+	0.851863i	$0.675473\pi$
$930$	−6.39683	−	3.08055i	−0.209760	−	0.101015i
$931$	4.75384	−	20.8279i	0.155801	−	0.682607i
$932$	8.34267	+	10.4614i	0.273273	+	0.342674i
$933$	14.7293	−	7.09325i	0.482215	−	0.232223i
$934$	11.5417	+	14.4728i	0.377655	+	0.473565i
$935$	−0.0640576	−	0.280655i	−0.00209491	−	0.00917839i
$936$	−9.55572	−	4.60179i	−0.312339	−	0.150414i
$937$	−6.40006	−	28.0405i	−0.209081	−	0.916043i	−0.965180	−	0.261586i	$-0.915754\pi$
$937$	−6.40006	−	28.0405i	−0.209081	−	0.916043i	0.756099	−	0.654457i	$-0.227103\pi$
$938$	19.0902	−	9.19333i	0.623316	−	0.300173i
$939$	−4.74651			−0.154896
$940$	−8.40228			−0.274052
$941$	−47.4325	+	22.8423i	−1.54625	+	0.744637i	−0.995914	−	0.0903045i	$-0.971216\pi$
$941$	−47.4325	+	22.8423i	−1.54625	+	0.744637i	−0.550339	+	0.834941i	$0.685502\pi$
$942$	−1.71679	+	7.52176i	−0.0559361	+	0.245072i
$943$	−11.8946	+	14.9154i	−0.387342	+	0.485712i
$944$	−2.50508	−	3.14127i	−0.0815334	−	0.102240i
$945$	9.64493			0.313750
$946$	−10.5830	−	18.3163i	−0.344084	−	0.595515i
$947$	26.2215			0.852084			0.426042	−	0.904703i	$-0.359908\pi$
$947$	26.2215			0.852084			0.426042	+	0.904703i	$0.359908\pi$
$948$	6.05221	+	7.58923i	0.196567	+	0.246487i
$949$	−36.2399	+	45.4434i	−1.17640	+	1.47516i
$950$	1.60998	−	7.05377i	0.0522346	−	0.228855i
$951$	−19.5588	+	9.41904i	−0.634239	+	0.305433i
$952$	−0.179525			−0.00581842
$953$	−42.6031			−1.38005			−0.690026	−	0.723785i	$-0.742401\pi$
$953$	−42.6031			−1.38005			−0.690026	+	0.723785i	$0.742401\pi$
$954$	−11.4411	+	5.50974i	−0.370419	+	0.178385i
$955$	−1.55072	−	6.79415i	−0.0501801	−	0.219854i
$956$	−15.0350	−	7.24049i	−0.486267	−	0.234174i
$957$	4.09704	+	17.9503i	0.132439	+	0.580251i
$958$	9.11861	+	11.4344i	0.294609	+	0.369428i
$959$	6.68409	−	3.21889i	0.215841	−	0.103943i
$960$	−0.583263	−	0.731388i	−0.0188247	−	0.0236054i
$961$	−5.91958	+	25.9354i	−0.190954	+	0.836625i
$962$	−41.9716	−	20.2125i	−1.35322	−	0.651676i
$963$	17.0758	+	8.22326i	0.550259	+	0.264991i
$964$	5.85615	−	7.34338i	0.188614	−	0.236514i
$965$	5.83362	−	25.5588i	0.187791	−	0.822765i
$966$	1.61497	+	7.07563i	0.0519607	+	0.227655i
$967$	−17.4961	+	21.9394i	−0.562636	+	0.705524i	−0.979043	−	0.203655i	$-0.934718\pi$
$967$	−17.4961	+	21.9394i	−0.562636	+	0.705524i	0.416406	+	0.909179i	$0.363289\pi$
$968$	0.369908	−	0.463850i	0.0118893	−	0.0149087i
$969$	0.134400	+	0.588843i	0.00431753	+	0.0189164i
$970$	2.64947	−	11.6081i	0.0850692	−	0.372713i
$971$	−5.80931	+	7.28465i	−0.186430	+	0.233775i	−0.866259	−	0.499595i	$-0.833482\pi$
$971$	−5.80931	+	7.28465i	−0.186430	+	0.233775i	0.679830	+	0.733370i	$0.262054\pi$
$972$	14.5511	+	7.00743i	0.466726	+	0.224763i
$973$	34.5997	+	16.6623i	1.10922	+	0.534170i
$974$	4.78396	−	20.9599i	0.153288	−	0.671598i
$975$	−2.91128	−	3.65063i	−0.0932356	−	0.116914i
$976$	−13.6744	+	6.58524i	−0.437706	+	0.210788i
$977$	−22.9080	−	28.7257i	−0.732892	−	0.919017i	0.266098	−	0.963946i	$-0.414265\pi$
$977$	−22.9080	−	28.7257i	−0.732892	−	0.919017i	−0.998990	+	0.0449287i	$0.985694\pi$
$978$	0.854183	+	3.74242i	0.0273137	+	0.119669i
$979$	−34.4284	−	16.5798i	−1.10034	−	0.529894i
$980$	0.657045	+	2.87870i	0.0209885	+	0.0919568i
$981$	−12.0625	+	5.80901i	−0.385127	+	0.185467i
$982$	−1.51883			−0.0484677
$983$	8.14041			0.259639			0.129819	−	0.991538i	$-0.458560\pi$
$983$	8.14041			0.259639			0.129819	+	0.991538i	$0.458560\pi$
$984$	−4.16955	+	2.00795i	−0.132920	+	0.0640111i
$985$	3.75269	−	16.4416i	0.119571	−	0.523873i
$986$	−0.339453	+	0.425661i	−0.0108104	+	0.0135558i
$987$	9.85921	+	12.3631i	0.313822	+	0.393521i
$988$	36.1135			1.14892
$989$	−25.0066	−	3.76065i	−0.795164	−	0.119582i
$990$	6.85473			0.217858
$991$	0.322200	+	0.404026i	0.0102350	+	0.0128343i	0.786923	−	0.617052i	$-0.211673\pi$
$991$	0.322200	+	0.404026i	0.0102350	+	0.0128343i	−0.776688	+	0.629886i	$0.783102\pi$
$992$	−4.73205	+	5.93380i	−0.150243	+	0.188398i
$993$	−2.62733	+	11.5111i	−0.0833759	+	0.365294i
$994$	23.8695	−	11.4949i	0.757094	−	0.364597i
$995$	−20.2027			−0.640470
$996$	−7.44843			−0.236013
$997$	−11.1317	+	5.36075i	−0.352545	+	0.169777i	−0.601771	−	0.798669i	$-0.705538\pi$
$997$	−11.1317	+	5.36075i	−0.352545	+	0.169777i	0.249226	+	0.968445i	$0.419824\pi$
$998$	−7.53457	−	33.0111i	−0.238503	−	1.04495i
$999$	40.3138	+	19.4141i	1.27547	+	0.614235i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.c.11.1	✓	18
43.4	even	7	inner	430.2.k.c.391.1	yes	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.c.11.1	✓	18	1.1	even	1	trivial
430.2.k.c.391.1	yes	18	43.4	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.623490 - 0.781831i) q^{2} +(-0.583263 + 0.731388i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(-0.900969 + 0.433884i) q^{5} +0.935481 q^{6} +2.01178 q^{7} +(0.900969 - 0.433884i) q^{8} +(0.472829 + 2.07160i) q^{9} +O(q^{10})\)	\(q+(-0.623490 - 0.781831i) q^{2} +(-0.583263 + 0.731388i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(-0.900969 + 0.433884i) q^{5} +0.935481 q^{6} +2.01178 q^{7} +(0.900969 - 0.433884i) q^{8} +(0.472829 + 2.07160i) q^{9} +(0.900969 + 0.433884i) q^{10} +(-0.717840 - 3.14506i) q^{11} +(-0.583263 - 0.731388i) q^{12} +(-4.49707 + 2.16568i) q^{13} +(-1.25433 - 1.57287i) q^{14} +(0.208164 - 0.912026i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-0.0803994 - 0.0387183i) q^{17} +(1.32484 - 1.66130i) q^{18} +(-1.60998 + 7.05377i) q^{19} +(-0.222521 - 0.974928i) q^{20} +(-1.17340 + 1.47139i) q^{21} +(-2.01134 + 2.52214i) q^{22} +(0.858120 + 3.75967i) q^{23} +(-0.208164 + 0.912026i) q^{24} +(0.623490 - 0.781831i) q^{25} +(4.49707 + 2.16568i) q^{26} +(-4.31944 - 2.08013i) q^{27} +(-0.447664 + 1.96134i) q^{28} +(3.80397 + 4.77003i) q^{29} +(-0.842839 + 0.405890i) q^{30} +(4.73205 + 5.93380i) q^{31} +(0.222521 + 0.974928i) q^{32} +(2.71895 + 1.30938i) q^{33} +(0.0198570 + 0.0869992i) q^{34} +(-1.81255 + 0.872880i) q^{35} -2.12488 q^{36} -9.33309 q^{37} +(6.51867 - 3.13923i) q^{38} +(1.03902 - 4.55226i) q^{39} +(-0.623490 + 0.781831i) q^{40} +(3.08442 + 3.86774i) q^{41} +1.88198 q^{42} +(-2.39367 + 6.10494i) q^{43} +3.22594 q^{44} +(-1.32484 - 1.66130i) q^{45} +(2.40440 - 3.01502i) q^{46} +(1.86968 - 8.19162i) q^{47} +(0.842839 - 0.405890i) q^{48} -2.95273 q^{49} -1.00000 q^{50} +(0.0752121 - 0.0362202i) q^{51} +(-1.11069 - 4.86623i) q^{52} +(-5.38436 - 2.59297i) q^{53} +(1.06681 + 4.67402i) q^{54} +(2.01134 + 2.52214i) q^{55} +(1.81255 - 0.872880i) q^{56} +(-4.22001 - 5.29172i) q^{57} +(1.35762 - 5.94813i) q^{58} +(3.61995 + 1.74327i) q^{59} +(0.842839 + 0.405890i) q^{60} +(9.46297 - 11.8662i) q^{61} +(1.68885 - 7.39933i) q^{62} +(0.951230 + 4.16761i) q^{63} +(0.623490 - 0.781831i) q^{64} +(3.11207 - 3.90241i) q^{65} +(-0.671525 - 2.94214i) q^{66} +(-2.34363 + 10.2681i) q^{67} +(0.0556381 - 0.0697680i) q^{68} +(-3.25029 - 1.56526i) q^{69} +(1.81255 + 0.872880i) q^{70} +(-2.93038 + 12.8388i) q^{71} +(1.32484 + 1.66130i) q^{72} +(10.4917 - 5.05256i) q^{73} +(5.81909 + 7.29691i) q^{74} +(0.208164 + 0.912026i) q^{75} +(-6.51867 - 3.13923i) q^{76} +(-1.44414 - 6.32718i) q^{77} +(-4.20692 + 2.02595i) q^{78} -10.3765 q^{79} +1.00000 q^{80} +(-1.70259 + 0.819922i) q^{81} +(1.10082 - 4.82300i) q^{82} +(4.96432 - 6.22506i) q^{83} +(-1.17340 - 1.47139i) q^{84} +0.0892366 q^{85} +(6.26547 - 1.93492i) q^{86} -5.70746 q^{87} +(-2.01134 - 2.52214i) q^{88} +(7.38549 - 9.26111i) q^{89} +(-0.472829 + 2.07160i) q^{90} +(-9.04713 + 4.35687i) q^{91} -3.85636 q^{92} -7.09994 q^{93} +(-7.57020 + 3.64561i) q^{94} +(-1.60998 - 7.05377i) q^{95} +(-0.842839 - 0.405890i) q^{96} +(-2.64947 - 11.6081i) q^{97} +(1.84100 + 2.30854i) q^{98} +(6.17590 - 2.97416i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9	\( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9} + 3 q^{10} + 5 q^{11} + 5 q^{12} + 22 q^{13} - 8 q^{14} - 2 q^{15} - 3 q^{16} + q^{17} + 13 q^{18} - 7 q^{19} - 3 q^{20} + 10 q^{21} - 5 q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 22 q^{26} + 20 q^{27} + q^{28} - 6 q^{29} + 2 q^{30} - 5 q^{31} + 3 q^{32} + 39 q^{33} - q^{34} - 13 q^{35} + 8 q^{36} - 18 q^{37} - 7 q^{39} + 3 q^{40} + 16 q^{41} + 4 q^{42} - 13 q^{43} - 2 q^{44} - 13 q^{45} - 8 q^{46} - 36 q^{47} - 2 q^{48} - 14 q^{49} - 18 q^{50} - 30 q^{51} - 20 q^{52} - 18 q^{53} + 29 q^{54} + 5 q^{55} + 13 q^{56} + 29 q^{57} - 8 q^{58} - 4 q^{59} - 2 q^{60} + 42 q^{61} - 2 q^{62} - 29 q^{63} - 3 q^{64} + 8 q^{65} + 24 q^{66} - 19 q^{67} + q^{68} - 51 q^{69} + 13 q^{70} - 27 q^{71} + 13 q^{72} + 28 q^{73} + 4 q^{74} - 2 q^{75} + 42 q^{77} - 35 q^{78} - 26 q^{79} + 18 q^{80} - 4 q^{81} + 19 q^{82} + 62 q^{83} + 10 q^{84} - 6 q^{85} - 15 q^{86} - 66 q^{87} - 5 q^{88} - 12 q^{89} + 6 q^{90} - 22 q^{91} - 20 q^{92} - 6 q^{93} - 6 q^{94} - 7 q^{95} + 2 q^{96} + 71 q^{97} - 28 q^{98} + 59 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 + 5 * q^3 - 3 * q^4 - 3 * q^5 + 2 * q^6 + 8 * q^7 + 3 * q^8 - 6 * q^9 + 3 * q^10 + 5 * q^11 + 5 * q^12 + 22 * q^13 - 8 * q^14 - 2 * q^15 - 3 * q^16 + q^17 + 13 * q^18 - 7 * q^19 - 3 * q^20 + 10 * q^21 - 5 * q^22 + 8 * q^23 + 2 * q^24 - 3 * q^25 - 22 * q^26 + 20 * q^27 + q^28 - 6 * q^29 + 2 * q^30 - 5 * q^31 + 3 * q^32 + 39 * q^33 - q^34 - 13 * q^35 + 8 * q^36 - 18 * q^37 - 7 * q^39 + 3 * q^40 + 16 * q^41 + 4 * q^42 - 13 * q^43 - 2 * q^44 - 13 * q^45 - 8 * q^46 - 36 * q^47 - 2 * q^48 - 14 * q^49 - 18 * q^50 - 30 * q^51 - 20 * q^52 - 18 * q^53 + 29 * q^54 + 5 * q^55 + 13 * q^56 + 29 * q^57 - 8 * q^58 - 4 * q^59 - 2 * q^60 + 42 * q^61 - 2 * q^62 - 29 * q^63 - 3 * q^64 + 8 * q^65 + 24 * q^66 - 19 * q^67 + q^68 - 51 * q^69 + 13 * q^70 - 27 * q^71 + 13 * q^72 + 28 * q^73 + 4 * q^74 - 2 * q^75 + 42 * q^77 - 35 * q^78 - 26 * q^79 + 18 * q^80 - 4 * q^81 + 19 * q^82 + 62 * q^83 + 10 * q^84 - 6 * q^85 - 15 * q^86 - 66 * q^87 - 5 * q^88 - 12 * q^89 + 6 * q^90 - 22 * q^91 - 20 * q^92 - 6 * q^93 - 6 * q^94 - 7 * q^95 + 2 * q^96 + 71 * q^97 - 28 * q^98 + 59 * q^99

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