LMFDB - Embedded newform 430.2.k.c.11.3

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			11.3
Root			$1.14077 - 1.43048i$ of defining polynomial
Character	$\chi$	$=$	430.11
Dual form			430.2.k.c.391.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.623490 - 0.781831i) q^{2} +(1.14077 - 1.43048i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(-0.900969 + 0.433884i) q^{5} -1.82965 q^{6} +4.80227 q^{7} +(0.900969 - 0.433884i) q^{8} +(-0.0773496 - 0.338891i) q^{9} +O(q^{10})$	\(q+(-0.623490 - 0.781831i) q^{2} +(1.14077 - 1.43048i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(-0.900969 + 0.433884i) q^{5} -1.82965 q^{6} +4.80227 q^{7} +(0.900969 - 0.433884i) q^{8} +(-0.0773496 - 0.338891i) q^{9} +(0.900969 + 0.433884i) q^{10} +(1.16519 + 5.10504i) q^{11} +(1.14077 + 1.43048i) q^{12} +(3.55093 - 1.71004i) q^{13} +(-2.99417 - 3.75457i) q^{14} +(-0.407135 + 1.78377i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-3.09814 - 1.49199i) q^{17} +(-0.216729 + 0.271769i) q^{18} +(-0.793407 + 3.47614i) q^{19} +(-0.222521 - 0.974928i) q^{20} +(5.47827 - 6.86953i) q^{21} +(3.26480 - 4.09393i) q^{22} +(-1.48685 - 6.51432i) q^{23} +(0.407135 - 1.78377i) q^{24} +(0.623490 - 0.781831i) q^{25} +(-3.55093 - 1.71004i) q^{26} +(4.37235 + 2.10561i) q^{27} +(-1.06861 + 4.68187i) q^{28} +(0.375633 + 0.471029i) q^{29} +(1.64845 - 0.793854i) q^{30} +(-2.24840 - 2.81940i) q^{31} +(0.222521 + 0.974928i) q^{32} +(8.63185 + 4.15688i) q^{33} +(0.765179 + 3.35247i) q^{34} +(-4.32670 + 2.08363i) q^{35} +0.347606 q^{36} -7.64624 q^{37} +(3.21244 - 1.54703i) q^{38} +(1.60461 - 7.03027i) q^{39} +(-0.623490 + 0.781831i) q^{40} +(-5.28249 - 6.62404i) q^{41} -8.78646 q^{42} +(-2.24875 - 6.15980i) q^{43} -5.23633 q^{44} +(0.216729 + 0.271769i) q^{45} +(-4.16606 + 5.22408i) q^{46} +(-2.39222 + 10.4810i) q^{47} +(-1.64845 + 0.793854i) q^{48} +16.0618 q^{49} -1.00000 q^{50} +(-5.66851 + 2.72981i) q^{51} +(0.877007 + 3.84242i) q^{52} +(5.00188 + 2.40878i) q^{53} +(-1.07988 - 4.73127i) q^{54} +(-3.26480 - 4.09393i) q^{55} +(4.32670 - 2.08363i) q^{56} +(4.06745 + 5.10042i) q^{57} +(0.134062 - 0.587364i) q^{58} +(-7.64525 - 3.68176i) q^{59} +(-1.64845 - 0.793854i) q^{60} +(7.07406 - 8.87060i) q^{61} +(-0.802444 + 3.51574i) q^{62} +(-0.371454 - 1.62745i) q^{63} +(0.623490 - 0.781831i) q^{64} +(-2.45732 + 3.08138i) q^{65} +(-2.13189 - 9.34042i) q^{66} +(-1.06019 + 4.64501i) q^{67} +(2.14398 - 2.68847i) q^{68} +(-11.0147 - 5.30441i) q^{69} +(4.32670 + 2.08363i) q^{70} +(0.106787 - 0.467866i) q^{71} +(-0.216729 - 0.271769i) q^{72} +(-5.59212 + 2.69302i) q^{73} +(4.76735 + 5.97807i) q^{74} +(-0.407135 - 1.78377i) q^{75} +(-3.21244 - 1.54703i) q^{76} +(5.59557 + 24.5158i) q^{77} +(-6.49694 + 3.12876i) q^{78} +0.197355 q^{79} +1.00000 q^{80} +(8.93940 - 4.30499i) q^{81} +(-1.88530 + 8.26004i) q^{82} +(8.50599 - 10.6662i) q^{83} +(5.47827 + 6.86953i) q^{84} +3.43868 q^{85} +(-3.41386 + 5.59871i) q^{86} +1.10231 q^{87} +(3.26480 + 4.09393i) q^{88} +(-7.76734 + 9.73993i) q^{89} +(0.0773496 - 0.338891i) q^{90} +(17.0525 - 8.21206i) q^{91} +6.68185 q^{92} -6.59798 q^{93} +(9.68588 - 4.66448i) q^{94} +(-0.793407 - 3.47614i) q^{95} +(1.64845 + 0.793854i) q^{96} +(1.36054 + 5.96093i) q^{97} +(-10.0144 - 12.5576i) q^{98} +(1.63992 - 0.789746i) 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
$3$	1.14077	−	1.43048i	0.658621	−	0.825885i	−0.334571	−	0.942371i	$-0.608591\pi$
$3$	1.14077	−	1.43048i	0.658621	−	0.825885i	0.993192	+	0.116485i	$0.0371628\pi$
$4$	−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
$6$	−1.82965			−0.746950
$7$	4.80227			1.81509			0.907544	−	0.419957i	$-0.137955\pi$
$7$	4.80227			1.81509			0.907544	+	0.419957i	$0.137955\pi$
$8$	0.900969	−	0.433884i	0.318541	−	0.153401i
$9$	−0.0773496	−	0.338891i	−0.0257832	−	0.112964i
$10$	0.900969	+	0.433884i	0.284911	+	0.137206i
$11$	1.16519	+	5.10504i	0.351319	+	1.53923i	0.774140	+	0.633015i	$0.218183\pi$
$11$	1.16519	+	5.10504i	0.351319	+	1.53923i	−0.422821	+	0.906213i	$0.638960\pi$
$12$	1.14077	+	1.43048i	0.329311	+	0.412943i
$13$	3.55093	−	1.71004i	0.984851	−	0.474279i	0.129080	−	0.991634i	$-0.458798\pi$
$13$	3.55093	−	1.71004i	0.984851	−	0.474279i	0.855771	+	0.517355i	$0.173083\pi$
$14$	−2.99417	−	3.75457i	−0.800225	−	1.00345i
$15$	−0.407135	+	1.78377i	−0.105122	+	0.460568i
$16$	−0.900969	−	0.433884i	−0.225242	−	0.108471i
$17$	−3.09814	−	1.49199i	−0.751411	−	0.361860i	0.0186542	−	0.999826i	$-0.494062\pi$
$17$	−3.09814	−	1.49199i	−0.751411	−	0.361860i	−0.770065	+	0.637966i	$0.779776\pi$
$18$	−0.216729	+	0.271769i	−0.0510834	+	0.0640566i
$19$	−0.793407	+	3.47614i	−0.182020	+	0.797482i	0.798647	+	0.601800i	$0.205549\pi$
$19$	−0.793407	+	3.47614i	−0.182020	+	0.797482i	−0.980667	+	0.195683i	$0.937308\pi$
$20$	−0.222521	−	0.974928i	−0.0497572	−	0.218001i
$21$	5.47827	−	6.86953i	1.19546	−	1.49905i
$22$	3.26480	−	4.09393i	0.696057	−	0.872828i
$23$	−1.48685	−	6.51432i	−0.310030	−	1.35833i	−0.854457	−	0.519522i	$-0.826110\pi$
$23$	−1.48685	−	6.51432i	−0.310030	−	1.35833i	0.544427	−	0.838808i	$-0.316747\pi$
$24$	0.407135	−	1.78377i	0.0831060	−	0.364111i
$25$	0.623490	−	0.781831i	0.124698	−	0.156366i
$26$	−3.55093	−	1.71004i	−0.696395	−	0.335366i
$27$	4.37235	+	2.10561i	0.841459	+	0.405225i
$28$	−1.06861	+	4.68187i	−0.201948	+	0.884790i
$29$	0.375633	+	0.471029i	0.0697533	+	0.0874679i	0.815484	−	0.578780i	$-0.196471\pi$
$29$	0.375633	+	0.471029i	0.0697533	+	0.0874679i	−0.745731	+	0.666248i	$0.767899\pi$
$30$	1.64845	−	0.793854i	0.300965	−	0.144937i
$31$	−2.24840	−	2.81940i	−0.403824	−	0.506379i	0.537788	−	0.843080i	$-0.319260\pi$
$31$	−2.24840	−	2.81940i	−0.403824	−	0.506379i	−0.941612	+	0.336701i	$0.890689\pi$
$32$	0.222521	+	0.974928i	0.0393365	+	0.172345i
$33$	8.63185	+	4.15688i	1.50261	+	0.723620i
$34$	0.765179	+	3.35247i	0.131227	+	0.574943i
$35$	−4.32670	+	2.08363i	−0.731345	+	0.352197i
$36$	0.347606			0.0579343
$37$	−7.64624			−1.25703			−0.628517	−	0.777796i	$-0.716338\pi$
$37$	−7.64624			−1.25703			−0.628517	+	0.777796i	$0.716338\pi$
$38$	3.21244	−	1.54703i	0.521127	−	0.250961i
$39$	1.60461	−	7.03027i	0.256944	−	1.12574i
$40$	−0.623490	+	0.781831i	−0.0985824	+	0.123618i
$41$	−5.28249	−	6.62404i	−0.824987	−	1.03450i	−0.998763	−	0.0497159i	$-0.984168\pi$
$41$	−5.28249	−	6.62404i	−0.824987	−	1.03450i	0.173776	−	0.984785i	$-0.444403\pi$
$42$	−8.78646			−1.35578
$43$	−2.24875	−	6.15980i	−0.342931	−	0.939361i
$43$	−2.24875	−	6.15980i	−0.342931	−	0.939361i
$44$	−5.23633			−0.789406
$45$	0.216729	+	0.271769i	0.0323080	+	0.0405130i
$46$	−4.16606	+	5.22408i	−0.614253	+	0.770248i
$47$	−2.39222	+	10.4810i	−0.348941	+	1.52881i	0.430650	+	0.902519i	$0.358284\pi$
$47$	−2.39222	+	10.4810i	−0.348941	+	1.52881i	−0.779591	+	0.626289i	$0.784573\pi$
$48$	−1.64845	+	0.793854i	−0.237934	+	0.114583i
$49$	16.0618			2.29455
$50$	−1.00000			−0.141421
$51$	−5.66851	+	2.72981i	−0.793750	+	0.382250i
$52$	0.877007	+	3.84242i	0.121619	+	0.532848i
$53$	5.00188	+	2.40878i	0.687061	+	0.330871i	0.744637	−	0.667470i	$-0.232623\pi$
$53$	5.00188	+	2.40878i	0.687061	+	0.330871i	−0.0575759	+	0.998341i	$0.518337\pi$
$54$	−1.07988	−	4.73127i	−0.146953	−	0.643844i
$55$	−3.26480	−	4.09393i	−0.440225	−	0.552025i
$56$	4.32670	−	2.08363i	0.578179	−	0.278436i
$57$	4.06745	+	5.10042i	0.538746	+	0.675567i
$58$	0.134062	−	0.587364i	0.0176032	−	0.0771246i
$59$	−7.64525	−	3.68176i	−0.995327	−	0.479324i	−0.135977	−	0.990712i	$-0.543417\pi$
$59$	−7.64525	−	3.68176i	−0.995327	−	0.479324i	−0.859350	+	0.511388i	$0.829132\pi$
$60$	−1.64845	−	0.793854i	−0.212815	−	0.102486i
$61$	7.07406	−	8.87060i	0.905741	−	1.13576i	−0.0845035	−	0.996423i	$-0.526930\pi$
$61$	7.07406	−	8.87060i	0.905741	−	1.13576i	0.990245	−	0.139340i	$-0.0444982\pi$
$62$	−0.802444	+	3.51574i	−0.101910	+	0.446499i
$63$	−0.371454	−	1.62745i	−0.0467988	−	0.205039i
$64$	0.623490	−	0.781831i	0.0779362	−	0.0977289i
$65$	−2.45732	+	3.08138i	−0.304793	+	0.382198i
$66$	−2.13189	−	9.34042i	−0.262418	−	1.14973i
$67$	−1.06019	+	4.64501i	−0.129523	+	0.567478i	0.867964	+	0.496628i	$0.165429\pi$
$67$	−1.06019	+	4.64501i	−0.129523	+	0.567478i	−0.997487	+	0.0708506i	$0.977429\pi$
$68$	2.14398	−	2.68847i	0.259996	−	0.326025i
$69$	−11.0147	−	5.30441i	−1.32602	−	0.638576i
$70$	4.32670	+	2.08363i	0.517139	+	0.249041i
$71$	0.106787	−	0.467866i	0.0126733	−	0.0555255i	−0.968196	−	0.250193i	$-0.919506\pi$
$71$	0.106787	−	0.467866i	0.0126733	−	0.0555255i	0.980869	+	0.194668i	$0.0623629\pi$
$72$	−0.216729	−	0.271769i	−0.0255417	−	0.0320283i
$73$	−5.59212	+	2.69302i	−0.654508	+	0.315195i	−0.731504	−	0.681837i	$-0.761181\pi$
$73$	−5.59212	+	2.69302i	−0.654508	+	0.315195i	0.0769960	+	0.997031i	$0.475467\pi$
$74$	4.76735	+	5.97807i	0.554193	+	0.694936i
$75$	−0.407135	−	1.78377i	−0.0470119	−	0.205972i
$76$	−3.21244	−	1.54703i	−0.368492	−	0.177456i
$77$	5.59557	+	24.5158i	0.637674	+	2.79383i
$78$	−6.49694	+	3.12876i	−0.735634	+	0.354263i
$79$	0.197355			0.0222041			0.0111021	−	0.999938i	$-0.496466\pi$
$79$	0.197355			0.0222041			0.0111021	+	0.999938i	$0.496466\pi$
$80$	1.00000			0.111803
$81$	8.93940	−	4.30499i	0.993267	−	0.478332i
$82$	−1.88530	+	8.26004i	−0.208197	+	0.912169i
$83$	8.50599	−	10.6662i	0.933654	−	1.17076i	−0.0514280	−	0.998677i	$-0.516377\pi$
$83$	8.50599	−	10.6662i	0.933654	−	1.17076i	0.985082	−	0.172088i	$-0.0550513\pi$
$84$	5.47827	+	6.86953i	0.597728	+	0.749527i
$85$	3.43868			0.372977
$86$	−3.41386	+	5.59871i	−0.368126	+	0.603725i
$87$	1.10231			0.118180
$88$	3.26480	+	4.09393i	0.348028	+	0.436414i
$89$	−7.76734	+	9.73993i	−0.823336	+	1.03243i	0.175513	+	0.984477i	$0.443841\pi$
$89$	−7.76734	+	9.73993i	−0.823336	+	1.03243i	−0.998850	+	0.0479538i	$0.984730\pi$
$90$	0.0773496	−	0.338891i	0.00815336	−	0.0357222i
$91$	17.0525	−	8.21206i	1.78759	−	0.860858i
$92$	6.68185			0.696631
$93$	−6.59798			−0.684178
$94$	9.68588	−	4.66448i	0.999023	−	0.481104i
$95$	−0.793407	−	3.47614i	−0.0814019	−	0.356645i
$96$	1.64845	+	0.793854i	0.168245	+	0.0810224i
$97$	1.36054	+	5.96093i	0.138142	+	0.605241i	0.995843	+	0.0910909i	$0.0290354\pi$
$97$	1.36054	+	5.96093i	0.138142	+	0.605241i	−0.857700	+	0.514150i	$0.828107\pi$
$98$	−10.0144	−	12.5576i	−1.01161	−	1.26851i
$99$	1.63992	−	0.789746i	0.164819	−	0.0793724i
$100$	0.623490	+	0.781831i	0.0623490	+	0.0781831i
$101$	−4.24722	+	18.6083i	−0.422614	+	1.85159i	0.0942843	+	0.995545i	$0.469944\pi$
$101$	−4.24722	+	18.6083i	−0.422614	+	1.85159i	−0.516898	+	0.856047i	$0.672913\pi$
$102$	5.66851	+	2.72981i	0.561266	+	0.270292i
$103$	2.39263	+	1.15223i	0.235753	+	0.113532i	0.548031	−	0.836458i	$-0.315378\pi$
$103$	2.39263	+	1.15223i	0.235753	+	0.113532i	−0.312278	+	0.949991i	$0.601092\pi$
$104$	2.45732	−	3.08138i	0.240960	−	0.302154i
$105$	−1.95517	+	8.56616i	−0.190805	+	0.835972i
$106$	−1.23536	−	5.41247i	−0.119989	−	0.525706i
$107$	1.99859	−	2.50615i	0.193211	−	0.242279i	−0.675784	−	0.737100i	$-0.736195\pi$
$107$	1.99859	−	2.50615i	0.193211	−	0.242279i	0.868995	+	0.494821i	$0.164766\pi$
$108$	−3.02576	+	3.79418i	−0.291154	+	0.365096i
$109$	−0.862887	−	3.78056i	−0.0826496	−	0.362112i	0.916643	−	0.399706i	$-0.130888\pi$
$109$	−0.862887	−	3.78056i	−0.0826496	−	0.362112i	−0.999293	+	0.0375942i	$0.988031\pi$
$110$	−1.16519	+	5.10504i	−0.111097	+	0.486747i
$111$	−8.72256	+	10.9378i	−0.827909	+	1.03817i
$112$	−4.32670	−	2.08363i	−0.408834	−	0.196884i
$113$	−14.5945	−	7.02834i	−1.37293	−	0.661170i	−0.405454	−	0.914116i	$-0.632886\pi$
$113$	−14.5945	−	7.02834i	−1.37293	−	0.661170i	−0.967481	+	0.252945i	$0.918601\pi$
$114$	1.45165	−	6.36011i	0.135960	−	0.595679i
$115$	4.16606	+	5.22408i	0.388487	+	0.487148i
$116$	−0.542806	+	0.261401i	−0.0503982	+	0.0242705i
$117$	−0.854179	−	1.07111i	−0.0789688	−	0.0990238i
$118$	1.88822	+	8.27284i	0.173825	+	0.761577i
$119$	−14.8781	−	7.16493i	−1.36388	−	0.656808i
$120$	0.407135	+	1.78377i	0.0371661	+	0.162835i
$121$	−14.7931	+	7.12399i	−1.34483	+	0.647635i
$122$	−11.3459			−1.02721
$123$	−15.5016			−1.39773
$124$	3.24903	−	1.56465i	0.291771	−	0.140510i
$125$	−0.222521	+	0.974928i	−0.0199029	+	0.0872002i
$126$	−1.04079	+	1.30511i	−0.0927210	+	0.116268i
$127$	−4.82865	−	6.05493i	−0.428473	−	0.537289i	0.519991	−	0.854172i	$-0.325935\pi$
$127$	−4.82865	−	6.05493i	−0.428473	−	0.537289i	−0.948465	+	0.316883i	$0.897364\pi$
$128$	−1.00000			−0.0883883
$129$	−11.3767	−	3.81011i	−1.00167	−	0.335462i
$130$	3.94123			0.345669
$131$	3.15549	+	3.95686i	0.275697	+	0.345713i	0.900332	−	0.435204i	$-0.143324\pi$
$131$	3.15549	+	3.95686i	0.275697	+	0.345713i	−0.624635	+	0.780917i	$0.714752\pi$
$132$	−5.97342	+	7.49044i	−0.519920	+	0.651959i
$133$	−3.81016	+	16.6934i	−0.330383	+	1.44750i
$134$	4.29263	−	2.06722i	0.370827	−	0.178581i
$135$	−4.85294			−0.417675
$136$	−3.43868			−0.294864
$137$	−3.39315	+	1.63405i	−0.289896	+	0.139607i	−0.573180	−	0.819430i	$-0.694290\pi$
$137$	−3.39315	+	1.63405i	−0.289896	+	0.139607i	0.283284	+	0.959036i	$0.408576\pi$
$138$	2.72041	+	11.9189i	0.231577	+	1.01460i
$139$	3.89003	+	1.87334i	0.329948	+	0.158895i	0.591522	−	0.806289i	$-0.298527\pi$
$139$	3.89003	+	1.87334i	0.329948	+	0.158895i	−0.261574	+	0.965183i	$0.584242\pi$
$140$	−1.06861	−	4.68187i	−0.0903137	−	0.395690i
$141$	12.2638	+	15.3784i	1.03280	+	1.29509i
$142$	−0.432374	+	0.208220i	−0.0362840	+	0.0174734i
$143$	12.8673	+	16.1351i	1.07602	+	1.34929i
$144$	−0.0773496	+	0.338891i	−0.00644580	+	0.0282409i
$145$	−0.542806	−	0.261401i	−0.0450776	−	0.0217082i
$146$	5.59212	+	2.69302i	0.462807	+	0.222876i
$147$	18.3228	−	22.9760i	1.51124	−	1.89503i
$148$	1.70145	−	7.45453i	0.139858	−	0.612758i
$149$	−0.581166	−	2.54625i	−0.0476109	−	0.208597i	0.945527	−	0.325542i	$-0.105547\pi$
$149$	−0.581166	−	2.54625i	−0.0476109	−	0.208597i	−0.993138	+	0.116945i	$0.962690\pi$
$150$	−1.14077	+	1.43048i	−0.0931431	+	0.116798i
$151$	−10.7941	+	13.5354i	−0.878413	+	1.10149i	0.115715	+	0.993282i	$0.463084\pi$
$151$	−10.7941	+	13.5354i	−0.878413	+	1.10149i	−0.994128	+	0.108212i	$0.965487\pi$
$152$	0.793407	+	3.47614i	0.0643538	+	0.281953i
$153$	−0.265981	+	1.16534i	−0.0215033	+	0.0942119i
$154$	15.6784	−	19.6601i	1.26340	−	1.58426i
$155$	3.24903	+	1.56465i	0.260968	+	0.125676i
$156$	6.49694	+	3.12876i	0.520172	+	0.250502i
$157$	−2.22419	+	9.74480i	−0.177509	+	0.777720i	0.805266	+	0.592914i	$0.202023\pi$
$157$	−2.22419	+	9.74480i	−0.177509	+	0.777720i	−0.982775	+	0.184805i	$0.940835\pi$
$158$	−0.123049	−	0.154298i	−0.00978923	−	0.0122753i
$159$	9.15167	−	4.40721i	0.725774	−	0.349514i
$160$	−0.623490	−	0.781831i	−0.0492912	−	0.0618092i
$161$	−7.14026	−	31.2835i	−0.562732	−	2.46549i
$162$	−8.93940	−	4.30499i	−0.702346	−	0.338232i
$163$	−4.02170	−	17.6202i	−0.315004	−	1.38012i	−0.846197	−	0.532871i	$-0.821113\pi$
$163$	−4.02170	−	17.6202i	−0.315004	−	1.38012i	0.531193	−	0.847251i	$-0.321744\pi$
$164$	7.63343	−	3.67606i	0.596070	−	0.287052i
$165$	−9.58063			−0.745851
$166$	−13.6425			−1.05887
$167$	−6.27348	+	3.02115i	−0.485456	+	0.233783i	−0.660570	−	0.750765i	$-0.729685\pi$
$167$	−6.27348	+	3.02115i	−0.485456	+	0.233783i	0.175113	+	0.984548i	$0.443971\pi$
$168$	1.95517	−	8.56616i	0.150845	−	0.660894i
$169$	1.57950	−	1.98063i	0.121500	−	0.152356i
$170$	−2.14398	−	2.68847i	−0.164436	−	0.206196i
$171$	1.23940			0.0947795
$172$	6.50575	−	0.821681i	0.496059	−	0.0626526i
$173$	16.7602			1.27426			0.637128	−	0.770758i	$-0.280122\pi$
$173$	16.7602			1.27426			0.637128	+	0.770758i	$0.280122\pi$
$174$	−0.687276	−	0.861817i	−0.0521023	−	0.0653342i
$175$	2.99417	−	3.75457i	0.226338	−	0.283819i
$176$	1.16519	−	5.10504i	0.0878297	−	0.384807i
$177$	−13.9881	+	6.73632i	−1.05141	+	0.506333i
$178$	12.4578			0.933755
$179$	8.07003			0.603183			0.301591	−	0.953437i	$-0.402482\pi$
$179$	8.07003			0.603183			0.301591	+	0.953437i	$0.402482\pi$
$180$	−0.313182	+	0.150821i	−0.0233432	+	0.0112415i
$181$	1.10846	+	4.85647i	0.0823910	+	0.360978i	0.999271	−	0.0381852i	$-0.0121577\pi$
$181$	1.10846	+	4.85647i	0.0823910	+	0.360978i	−0.916880	+	0.399164i	$0.869301\pi$
$182$	−17.0525	−	8.21206i	−1.26402	−	0.608719i
$183$	−4.61932	−	20.2385i	−0.341470	−	1.49608i
$184$	−4.16606	−	5.22408i	−0.307126	−	0.385124i
$185$	6.88902	−	3.31758i	0.506491	−	0.243913i
$186$	4.11377	+	5.15851i	0.301636	+	0.378240i
$187$	4.00673	−	17.5546i	0.293001	−	1.28372i
$188$	−9.68588	−	4.66448i	−0.706416	−	0.340192i
$189$	20.9972	+	10.1117i	1.52732	+	0.735520i
$190$	−2.22308	+	2.78765i	−0.161279	+	0.202237i
$191$	5.56640	−	24.3880i	0.402771	−	1.76465i	−0.213325	−	0.976981i	$-0.568429\pi$
$191$	5.56640	−	24.3880i	0.402771	−	1.76465i	0.616095	−	0.787672i	$-0.288714\pi$
$192$	−0.407135	−	1.78377i	−0.0293824	−	0.128733i
$193$	−4.89510	+	6.13826i	−0.352357	+	0.441842i	−0.926148	−	0.377160i	$-0.876901\pi$
$193$	−4.89510	+	6.13826i	−0.352357	+	0.441842i	0.573791	+	0.819002i	$0.305472\pi$
$194$	3.81216	−	4.78030i	0.273697	−	0.343205i
$195$	1.60461	+	7.03027i	0.114909	+	0.503448i
$196$	−3.57409	+	15.6591i	−0.255292	+	1.11851i
$197$	13.9234	−	17.4594i	0.992002	−	1.24393i	0.0222725	−	0.999752i	$-0.492910\pi$
$197$	13.9234	−	17.4594i	0.992002	−	1.24393i	0.969730	−	0.244180i	$-0.0785187\pi$
$198$	−1.63992	−	0.789746i	−0.116544	−	0.0561248i
$199$	12.9176	+	6.22078i	0.915703	+	0.440980i	0.831535	−	0.555472i	$-0.187462\pi$
$199$	12.9176	+	6.22078i	0.915703	+	0.440980i	0.0841682	+	0.996452i	$0.473177\pi$
$200$	0.222521	−	0.974928i	0.0157346	−	0.0689378i
$201$	5.43514	+	6.81545i	0.383365	+	0.480725i
$202$	17.1966	−	8.28146i	1.20995	−	0.582681i
$203$	1.80389	+	2.26201i	0.126608	+	0.158762i
$204$	−1.40001	−	6.13383i	−0.0980200	−	0.429454i
$205$	7.63343	+	3.67606i	0.533142	+	0.256747i
$206$	−0.590930	−	2.58903i	−0.0411721	−	0.180387i
$207$	−2.09263	+	1.00776i	−0.145448	+	0.0700442i
$208$	−3.94123			−0.273275
$209$	−18.6703			−1.29145
$210$	7.91633	−	3.81230i	0.546278	−	0.263074i
$211$	3.20413	−	14.0382i	0.220581	−	0.966431i	−0.736460	−	0.676481i	$-0.763504\pi$
$211$	3.20413	−	14.0382i	0.220581	−	0.966431i	0.957042	−	0.289950i	$-0.0936387\pi$
$212$	−3.46141	+	4.34047i	−0.237730	+	0.298104i
$213$	−0.547452	−	0.686483i	−0.0375108	−	0.0470370i
$214$	−3.20549			−0.219123
$215$	4.69869	+	4.57409i	0.320448	+	0.311951i
$216$	4.85294			0.330201
$217$	−10.7974	−	13.5395i	−0.732976	−	0.919123i
$218$	−2.41776	+	3.03177i	−0.163751	+	0.205337i
$219$	−2.52700	+	11.0715i	−0.170759	+	0.748143i
$220$	4.71777	−	2.27196i	0.318072	−	0.153175i
$221$	−13.5526			−0.911650
$222$	13.9899			0.938941
$223$	−9.31633	+	4.48651i	−0.623867	+	0.300439i	−0.718983	−	0.695028i	$-0.755392\pi$
$223$	−9.31633	+	4.48651i	−0.623867	+	0.300439i	0.0951157	+	0.995466i	$0.469678\pi$
$224$	1.06861	+	4.68187i	0.0713992	+	0.312821i
$225$	−0.313182	−	0.150821i	−0.0208788	−	0.0100547i
$226$	3.60454	+	15.7925i	0.239771	+	1.05050i
$227$	−14.0972	−	17.6773i	−0.935662	−	1.17328i	−0.984660	−	0.174484i	$-0.944174\pi$
$227$	−14.0972	−	17.6773i	−0.935662	−	1.17328i	0.0489985	−	0.998799i	$-0.484397\pi$
$228$	−5.87763	+	2.83052i	−0.389256	+	0.187456i
$229$	1.14734	+	1.43872i	0.0758185	+	0.0950734i	0.818294	−	0.574800i	$-0.194920\pi$
$229$	1.14734	+	1.43872i	0.0758185	+	0.0950734i	−0.742476	+	0.669873i	$0.766349\pi$
$230$	1.48685	−	6.51432i	0.0980400	−	0.429542i
$231$	41.4525	+	19.9625i	2.72737	+	1.31343i
$232$	0.542806	+	0.261401i	0.0356369	+	0.0171618i
$233$	4.16865	−	5.22733i	0.273098	−	0.342453i	−0.626302	−	0.779580i	$-0.715432\pi$
$233$	4.16865	−	5.22733i	0.273098	−	0.342453i	0.899400	+	0.437127i	$0.144004\pi$
$234$	−0.304853	+	1.33565i	−0.0199289	+	0.0873140i
$235$	−2.39222	−	10.4810i	−0.156051	−	0.683704i
$236$	5.29068	−	6.63430i	0.344394	−	0.431856i
$237$	0.225136	−	0.282311i	0.0146241	−	0.0183381i
$238$	3.67460	+	16.0995i	0.238189	+	1.04357i
$239$	−0.202680	+	0.887999i	−0.0131103	+	0.0574399i	−0.981060	−	0.193704i	$-0.937950\pi$
$239$	−0.202680	+	0.887999i	−0.0131103	+	0.0574399i	0.967950	+	0.251144i	$0.0808069\pi$
$240$	1.14077	−	1.43048i	0.0736361	−	0.0923368i
$241$	−11.9182	−	5.73949i	−0.767717	−	0.369713i	0.00867565	−	0.999962i	$-0.497238\pi$
$241$	−11.9182	−	5.73949i	−0.767717	−	0.369713i	−0.776393	+	0.630249i	$0.782953\pi$
$242$	14.7931	+	7.12399i	0.950937	+	0.457947i
$243$	0.799940	−	3.50477i	0.0513162	−	0.224831i
$244$	7.07406	+	8.87060i	0.452871	+	0.567882i
$245$	−14.4712	+	6.96896i	−0.924531	+	0.445231i
$246$	9.66510	+	12.1196i	0.616224	+	0.772721i
$247$	3.12700	+	13.7003i	0.198966	+	0.871729i
$248$	−3.24903	−	1.56465i	−0.206313	−	0.0993553i
$249$	−5.55435	−	24.3352i	−0.351993	−	1.54218i
$250$	0.900969	−	0.433884i	0.0569823	−	0.0274412i
$251$	−9.25750			−0.584328			−0.292164	−	0.956368i	$-0.594375\pi$
$251$	−9.25750			−0.584328			−0.292164	+	0.956368i	$0.594375\pi$
$252$	1.66930			0.105156
$253$	31.5234	−	15.1809i	1.98186	−	0.954413i
$254$	−1.72332	+	7.55038i	−0.108131	+	0.473753i
$255$	3.92273	−	4.91895i	0.245651	−	0.308036i
$256$	0.623490	+	0.781831i	0.0389681	+	0.0488645i
$257$	−3.96970			−0.247623			−0.123812	−	0.992306i	$-0.539512\pi$
$257$	−3.96970			−0.247623			−0.123812	+	0.992306i	$0.539512\pi$
$258$	4.11441	+	11.2703i	0.256152	+	0.701656i
$259$	−36.7193			−2.28163
$260$	−2.45732	−	3.08138i	−0.152396	−	0.191099i
$261$	0.130572	−	0.163732i	0.00808222	−	0.0101348i
$262$	1.12618	−	4.93413i	0.0695758	−	0.304831i
$263$	−12.6516	+	6.09271i	−0.780134	+	0.375693i	−0.781179	−	0.624307i	$-0.785382\pi$
$263$	−12.6516	+	6.09271i	−0.780134	+	0.375693i	0.00104547	+	0.999999i	$0.499667\pi$
$264$	9.58063			0.589647
$265$	−5.55166			−0.341036
$266$	15.4270	−	7.42926i	0.945891	−	0.455517i
$267$	5.07202	+	22.2220i	0.310403	+	1.35996i
$268$	−4.29263	−	2.06722i	−0.262214	−	0.126276i
$269$	0.491267	+	2.15238i	0.0299531	+	0.131233i	0.987694	−	0.156400i	$-0.0499889\pi$
$269$	0.491267	+	2.15238i	0.0299531	+	0.131233i	−0.957741	+	0.287633i	$0.907132\pi$
$270$	3.02576	+	3.79418i	0.184142	+	0.230907i
$271$	−10.0463	+	4.83804i	−0.610268	+	0.293890i	−0.713377	−	0.700780i	$-0.752835\pi$
$271$	−10.0463	+	4.83804i	−0.610268	+	0.293890i	0.103109	+	0.994670i	$0.467121\pi$
$272$	2.14398	+	2.68847i	0.129998	+	0.163012i
$273$	7.70579	−	33.7613i	0.466375	−	2.04332i
$274$	3.39315	+	1.63405i	0.204987	+	0.0987168i
$275$	4.71777	+	2.27196i	0.284492	+	0.137004i
$276$	7.62242	−	9.55822i	0.458816	−	0.575337i
$277$	−4.69143	+	20.5545i	−0.281880	+	1.23500i	0.613499	+	0.789695i	$0.289761\pi$
$277$	−4.69143	+	20.5545i	−0.281880	+	1.23500i	−0.895380	+	0.445304i	$0.853096\pi$
$278$	−0.960758	−	4.20936i	−0.0576224	−	0.252460i
$279$	−0.781556	+	0.980040i	−0.0467905	+	0.0586735i
$280$	−2.99417	+	3.75457i	−0.178936	+	0.224378i
$281$	0.692909	+	3.03583i	0.0413355	+	0.181103i	0.991381	−	0.131008i	$-0.0418213\pi$
$281$	0.692909	+	3.03583i	0.0413355	+	0.181103i	−0.950046	+	0.312110i	$0.898964\pi$
$282$	4.37691	−	19.1765i	0.260641	−	1.14194i
$283$	13.4822	−	16.9061i	0.801432	−	1.00496i	−0.198260	−	0.980150i	$-0.563529\pi$
$283$	13.4822	−	16.9061i	0.801432	−	1.00496i	0.999692	−	0.0248148i	$-0.00789961\pi$
$284$	0.432374	+	0.208220i	0.0256567	+	0.0123556i
$285$	−5.87763	−	2.83052i	−0.348161	−	0.167665i
$286$	4.59230	−	20.1202i	0.271548	−	1.18973i
$287$	−25.3680	−	31.8104i	−1.49742	−	1.87771i
$288$	0.313182	−	0.150821i	0.0184544	−	0.00888719i
$289$	−3.22685	−	4.04635i	−0.189815	−	0.238020i
$290$	0.134062	+	0.587364i	0.00787239	+	0.0344912i
$291$	10.0790	+	4.85380i	0.590843	+	0.284535i
$292$	−1.38114	−	6.05117i	−0.0808251	−	0.354118i
$293$	−12.7643	+	6.14696i	−0.745698	+	0.359109i	−0.767837	−	0.640646i	$-0.778667\pi$
$293$	−12.7643	+	6.14696i	−0.745698	+	0.359109i	0.0221387	+	0.999755i	$0.492952\pi$
$294$	−29.3874			−1.71391
$295$	8.48559			0.494050
$296$	−6.88902	+	3.31758i	−0.400416	+	0.192830i
$297$	−5.65461	+	24.7745i	−0.328114	+	1.43756i
$298$	−1.62839	+	2.04194i	−0.0943301	+	0.118286i
$299$	−16.4194	−	20.5893i	−0.949560	−	1.19071i
$300$	1.82965			0.105635
$301$	−10.7991	−	29.5810i	−0.622449	−	1.70502i
$302$	17.3124			0.996218
$303$	21.7736	+	27.3032i	1.25086	+	1.56853i
$304$	2.22308	−	2.78765i	0.127502	−	0.159883i
$305$	−2.52470	+	11.0615i	−0.144564	+	0.633377i
$306$	1.07693	−	0.518624i	0.0615642	−	0.0296477i
$307$	5.32246			0.303769			0.151884	−	0.988398i	$-0.451466\pi$
$307$	5.32246			0.303769			0.151884	+	0.988398i	$0.451466\pi$
$308$	−25.1463			−1.43284
$309$	4.37766	−	2.10817i	0.249037	−	0.119930i
$310$	−0.802444	−	3.51574i	−0.0455757	−	0.199680i
$311$	−9.40333	−	4.52840i	−0.533214	−	0.256782i	0.147846	−	0.989010i	$-0.452766\pi$
$311$	−9.40333	−	4.52840i	−0.533214	−	0.256782i	−0.681059	+	0.732228i	$0.738480\pi$
$312$	−1.60461	−	7.03027i	−0.0908433	−	0.398011i
$313$	19.2295	+	24.1131i	1.08692	+	1.36295i	0.926671	+	0.375874i	$0.122657\pi$
$313$	19.2295	+	24.1131i	1.08692	+	1.36295i	0.160246	+	0.987077i	$0.448771\pi$
$314$	9.00555	−	4.33684i	0.508212	−	0.244742i
$315$	1.04079	+	1.30511i	0.0586419	+	0.0735346i
$316$	−0.0439156	+	0.192407i	−0.00247044	+	0.0108237i
$317$	10.8310	+	5.21595i	0.608332	+	0.292957i	0.712576	−	0.701595i	$-0.247528\pi$
$317$	10.8310	+	5.21595i	0.608332	+	0.292957i	−0.104245	+	0.994552i	$0.533243\pi$
$318$	−9.15167	−	4.40721i	−0.513200	−	0.247144i
$319$	−1.96694	+	2.46646i	−0.110127	+	0.138095i
$320$	−0.222521	+	0.974928i	−0.0124393	+	0.0545001i
$321$	−1.30507	−	5.71786i	−0.0728416	−	0.319140i
$322$	−20.0066	+	25.0874i	−1.11492	+	1.39807i
$323$	7.64446	−	9.58584i	0.425349	−	0.533371i
$324$	2.20785	+	9.67322i	0.122658	+	0.537401i
$325$	0.877007	−	3.84242i	0.0486476	−	0.213139i
$326$	−11.2686	+	14.1303i	−0.624107	+	0.782606i
$327$	−6.39234	−	3.07839i	−0.353497	−	0.170235i
$328$	−7.63343	−	3.67606i	−0.421485	−	0.202977i
$329$	−11.4881	+	50.3325i	−0.633358	+	2.77492i
$330$	5.97342	+	7.49044i	0.328826	+	0.412335i
$331$	−27.6060	+	13.2943i	−1.51736	+	0.730723i	−0.992702	−	0.120590i	$-0.961521\pi$
$331$	−27.6060	+	13.2943i	−1.51736	+	0.730723i	−0.524659	+	0.851312i	$0.675807\pi$
$332$	8.50599	+	10.6662i	0.466827	+	0.585382i
$333$	0.591433	+	2.59124i	0.0324103	+	0.141999i
$334$	6.27348	+	3.02115i	0.343269	+	0.165310i
$335$	−1.06019	−	4.64501i	−0.0579245	−	0.253784i
$336$	−7.91633	+	3.81230i	−0.431871	+	0.207978i
$337$	−2.83065			−0.154196			−0.0770978	−	0.997024i	$-0.524565\pi$
$337$	−2.83065			−0.154196			−0.0770978	+	0.997024i	$0.524565\pi$
$338$	−2.53333			−0.137795
$339$	−26.7028	+	12.8594i	−1.45029	+	0.698425i
$340$	−0.765179	+	3.35247i	−0.0414976	+	0.181813i
$341$	11.7733	−	14.7633i	0.637562	−	0.799478i
$342$	−0.772755	−	0.969004i	−0.0417858	−	0.0523977i
$343$	43.5173			2.34971
$344$	−4.69869	−	4.57409i	−0.253336	−	0.246619i
$345$	12.2254			0.658194
$346$	−10.4498	−	13.1037i	−0.561786	−	0.704458i
$347$	10.9725	−	13.7591i	0.589034	−	0.738626i	−0.394590	−	0.918857i	$-0.629113\pi$
$347$	10.9725	−	13.7591i	0.589034	−	0.738626i	0.983624	+	0.180232i	$0.0576848\pi$
$348$	−0.245286	+	1.07467i	−0.0131487	+	0.0576082i
$349$	22.9313	−	11.0431i	1.22748	−	0.591125i	0.296098	−	0.955157i	$-0.404314\pi$
$349$	22.9313	−	11.0431i	1.22748	−	0.591125i	0.931386	+	0.364032i	$0.118600\pi$
$350$	−4.80227			−0.256692
$351$	19.1266			1.02090
$352$	−4.71777	+	2.27196i	−0.251458	+	0.121096i
$353$	2.90174	+	12.7133i	0.154444	+	0.676663i	0.991561	+	0.129640i	$0.0413820\pi$
$353$	2.90174	+	12.7133i	0.154444	+	0.676663i	−0.837117	+	0.547024i	$0.815761\pi$
$354$	13.9881	+	6.73632i	0.743460	+	0.358031i
$355$	0.106787	+	0.467866i	0.00566769	+	0.0248318i
$356$	−7.76734	−	9.73993i	−0.411668	−	0.516215i
$357$	−27.2217	+	13.1093i	−1.44073	+	0.693817i
$358$	−5.03158	−	6.30941i	−0.265927	−	0.333462i
$359$	1.15284	−	5.05092i	0.0608445	−	0.266577i	−0.935351	−	0.353720i	$-0.884917\pi$
$359$	1.15284	−	5.05092i	0.0608445	−	0.266577i	0.996196	+	0.0871428i	$0.0277737\pi$
$360$	0.313182	+	0.150821i	0.0165061	+	0.00794894i
$361$	5.66433	+	2.72780i	0.298122	+	0.143568i
$362$	3.10583	−	3.89458i	0.163239	−	0.204695i
$363$	−6.68479	+	29.2880i	−0.350861	+	1.53722i
$364$	4.21163	+	18.4523i	0.220749	+	0.967165i
$365$	3.86987	−	4.85266i	0.202558	−	0.254000i
$366$	−12.9430	+	16.2301i	−0.676543	+	0.848359i
$367$	−2.59209	−	11.3567i	−0.135306	−	0.592814i	−0.996430	−	0.0844194i	$-0.973096\pi$
$367$	−2.59209	−	11.3567i	−0.135306	−	0.592814i	0.861124	−	0.508394i	$-0.169761\pi$
$368$	−1.48685	+	6.51432i	−0.0775075	+	0.339582i
$369$	−1.83623	+	2.30255i	−0.0955901	+	0.119866i
$370$	−6.88902	−	3.31758i	−0.358143	−	0.172473i
$371$	24.0204	+	11.5676i	1.24708	+	0.600560i
$372$	1.46819	−	6.43255i	0.0761220	−	0.333512i
$373$	0.00637336	+	0.00799194i	0.000330000	+	0.000413807i	0.781996	−	0.623283i	$-0.214201\pi$
$373$	0.00637336	+	0.00799194i	0.000330000	+	0.000413807i	−0.781666	+	0.623697i	$0.785630\pi$
$374$	−16.2229	+	7.81254i	−0.838866	+	0.403977i
$375$	1.14077	+	1.43048i	0.0589089	+	0.0738694i
$376$	2.39222	+	10.4810i	0.123369	+	0.540515i
$377$	2.13932	+	1.03024i	0.110181	+	0.0530603i
$378$	−5.18588	−	22.7208i	−0.266733	−	1.16863i
$379$	−13.8120	+	6.65151i	−0.709475	+	0.341665i	−0.753575	−	0.657362i	$-0.771672\pi$
$379$	−13.8120	+	6.65151i	−0.709475	+	0.341665i	0.0441000	+	0.999027i	$0.485958\pi$
$380$	3.56554			0.182908
$381$	−14.1698			−0.725940
$382$	−22.5379	+	10.8537i	−1.15314	+	0.555322i
$383$	−8.40803	+	36.8380i	−0.429630	+	1.88233i	0.0395272	+	0.999218i	$0.487415\pi$
$383$	−8.40803	+	36.8380i	−0.429630	+	1.88233i	−0.469157	+	0.883115i	$0.655442\pi$
$384$	−1.14077	+	1.43048i	−0.0582145	+	0.0729986i
$385$	−15.6784	−	19.6601i	−0.799047	−	1.00197i
$386$	7.85113			0.399612
$387$	−1.91356	+	1.23854i	−0.0972717	+	0.0629584i
$388$	−6.11423			−0.310403
$389$	4.23664	+	5.31258i	0.214806	+	0.269359i	0.877547	−	0.479490i	$-0.159178\pi$
$389$	4.23664	+	5.31258i	0.214806	+	0.269359i	−0.662741	+	0.748849i	$0.730607\pi$
$390$	4.49603	−	5.63784i	0.227665	−	0.285483i
$391$	−5.11281	+	22.4007i	−0.258566	+	1.13285i
$392$	14.4712	−	6.96896i	0.730906	−	0.351986i
$393$	9.25987			0.467099
$394$	−22.3314			−1.12504
$395$	−0.177811	+	0.0856290i	−0.00894662	+	0.00430846i
$396$	0.405028	+	1.77454i	0.0203534	+	0.0891741i
$397$	18.7378	+	9.02364i	0.940422	+	0.452883i	0.840318	−	0.542093i	$-0.182368\pi$
$397$	18.7378	+	9.02364i	0.940422	+	0.452883i	0.100104	+	0.994977i	$0.468082\pi$
$398$	−3.19038	−	13.9780i	−0.159919	−	0.700652i
$399$	19.5330	+	24.4936i	0.977872	+	1.22621i
$400$	−0.900969	+	0.433884i	−0.0450484	+	0.0216942i
$401$	1.96622	+	2.46557i	0.0981886	+	0.123125i	0.828498	−	0.559992i	$-0.189196\pi$
$401$	1.96622	+	2.46557i	0.0981886	+	0.123125i	−0.730310	+	0.683116i	$0.760624\pi$
$402$	1.93978	−	8.49872i	0.0967473	−	0.423878i
$403$	−12.8052	−	6.16665i	−0.637871	−	0.307183i
$404$	−17.1966	−	8.28146i	−0.855564	−	0.412018i
$405$	−6.18626	+	7.75732i	−0.307398	+	0.385464i
$406$	0.643802	−	2.82068i	0.0319514	−	0.139988i
$407$	−8.90934	−	39.0343i	−0.441619	−	1.93486i
$408$	−3.92273	+	4.91895i	−0.194204	+	0.243524i
$409$	−3.35660	+	4.20904i	−0.165973	+	0.208124i	−0.857862	−	0.513881i	$-0.828207\pi$
$409$	−3.35660	+	4.20904i	−0.165973	+	0.208124i	0.691889	+	0.722004i	$0.256779\pi$
$410$	−1.88530	−	8.26004i	−0.0931084	−	0.407934i
$411$	−1.53331	+	6.71788i	−0.0756327	+	0.331369i
$412$	−1.65575	+	2.07624i	−0.0815729	+	0.102289i
$413$	−36.7146	−	17.6808i	−1.80661	−	0.870016i
$414$	2.09263	+	1.00776i	0.102847	+	0.0495287i
$415$	−3.03575	+	13.3005i	−0.149019	+	0.652896i
$416$	2.45732	+	3.08138i	0.120480	+	0.151077i
$417$	7.11738	−	3.42755i	0.348540	−	0.167848i
$418$	11.6408	+	14.5971i	0.569368	+	0.713965i
$419$	−1.19580	−	5.23915i	−0.0584187	−	0.255949i	0.937283	−	0.348570i	$-0.113333\pi$
$419$	−1.19580	−	5.23915i	−0.0584187	−	0.255949i	−0.995701	+	0.0926210i	$0.970476\pi$
$420$	−7.91633	−	3.81230i	−0.386277	−	0.186021i
$421$	−1.33902	−	5.86664i	−0.0652600	−	0.285923i	0.931759	−	0.363077i	$-0.118274\pi$
$421$	−1.33902	−	5.86664i	−0.0652600	−	0.285923i	−0.997019	+	0.0771543i	$0.975417\pi$
$422$	−12.9733	+	6.24759i	−0.631529	+	0.304128i
$423$	3.73694			0.181696
$424$	5.55166			0.269613
$425$	−3.09814	+	1.49199i	−0.150282	+	0.0723720i
$426$	−0.195383	+	0.856030i	−0.00946635	+	0.0414748i
$427$	33.9716	−	42.5990i	1.64400	−	2.06151i
$428$	1.99859	+	2.50615i	0.0966055	+	0.121139i
$429$	37.7595			1.82305
$430$	0.646587	−	6.52548i	0.0311812	−	0.314687i
$431$	−6.95081			−0.334809			−0.167404	−	0.985888i	$-0.553539\pi$
$431$	−6.95081			−0.334809			−0.167404	+	0.985888i	$0.553539\pi$
$432$	−3.02576	−	3.79418i	−0.145577	−	0.182548i
$433$	7.18855	−	9.01416i	0.345460	−	0.433193i	−0.578500	−	0.815682i	$-0.696362\pi$
$433$	7.18855	−	9.01416i	0.345460	−	0.433193i	0.923960	+	0.382490i	$0.124933\pi$
$434$	−3.85355	+	16.8835i	−0.184976	+	0.810435i
$435$	−0.993143	+	0.478272i	−0.0476175	+	0.0229314i
$436$	3.87778			0.185712
$437$	23.8244			1.13968
$438$	10.2316	−	4.92728i	0.488885	−	0.235435i
$439$	6.98712	+	30.6126i	0.333477	+	1.46106i	0.812348	+	0.583173i	$0.198189\pi$
$439$	6.98712	+	30.6126i	0.333477	+	1.46106i	−0.478871	+	0.877885i	$0.658954\pi$
$440$	−4.71777	−	2.27196i	−0.224911	−	0.108311i
$441$	−1.24237	−	5.44320i	−0.0591607	−	0.259200i
$442$	8.44994	+	10.5959i	0.401923	+	0.503995i
$443$	11.6390	−	5.60502i	0.552983	−	0.266303i	−0.136456	−	0.990646i	$-0.543571\pi$
$443$	11.6390	−	5.60502i	0.552983	−	0.266303i	0.689439	+	0.724343i	$0.257857\pi$
$444$	−8.72256	−	10.9378i	−0.413955	−	0.519083i
$445$	2.77213	−	12.1455i	0.131412	−	0.575752i
$446$	9.31633	+	4.48651i	0.441141	+	0.212442i
$447$	−4.30533	−	2.07334i	−0.203635	−	0.0980654i
$448$	2.99417	−	3.75457i	0.141461	−	0.177387i
$449$	−1.71845	+	7.52901i	−0.0810986	+	0.355316i	−0.999154	−	0.0411372i	$-0.986902\pi$
$449$	−1.71845	+	7.52901i	−0.0810986	+	0.355316i	0.918055	+	0.396453i	$0.129759\pi$
$450$	0.0773496	+	0.338891i	0.00364629	+	0.0159755i
$451$	27.6609	−	34.6856i	1.30250	−	1.63328i
$452$	10.0997	−	12.6646i	0.475050	−	0.595694i
$453$	7.04848	+	30.8814i	0.331167	+	1.45094i
$454$	−5.03122	+	22.0432i	−0.236127	+	1.03454i
$455$	−11.8007	+	14.7976i	−0.553226	+	0.693724i
$456$	5.87763	+	2.83052i	0.275245	+	0.132551i
$457$	11.7404	+	5.65386i	0.549191	+	0.264477i	0.687837	−	0.725866i	$-0.258561\pi$
$457$	11.7404	+	5.65386i	0.549191	+	0.264477i	−0.138645	+	0.990342i	$0.544275\pi$
$458$	0.409482	−	1.79406i	0.0191338	−	0.0838308i
$459$	−10.4046	−	13.0470i	−0.485646	−	0.608981i
$460$	−6.02014	+	2.89915i	−0.280690	+	0.135173i
$461$	19.7982	+	24.8262i	0.922096	+	1.15627i	0.987374	+	0.158405i	$0.0506351\pi$
$461$	19.7982	+	24.8262i	0.922096	+	1.15627i	−0.0652780	+	0.997867i	$0.520793\pi$
$462$	−10.2379	−	44.8552i	−0.476311	−	2.08685i
$463$	11.2553	+	5.42026i	0.523077	+	0.251901i	0.676739	−	0.736223i	$-0.263392\pi$
$463$	11.2553	+	5.42026i	0.523077	+	0.251901i	−0.153662	+	0.988123i	$0.549107\pi$
$464$	−0.134062	−	0.587364i	−0.00622367	−	0.0272677i
$465$	5.94457	−	2.86276i	0.275673	−	0.132757i
$466$	−6.68600			−0.309723
$467$	20.9542			0.969646			0.484823	−	0.874612i	$-0.338884\pi$
$467$	20.9542			0.969646			0.484823	+	0.874612i	$0.338884\pi$
$468$	1.23432	−	0.594419i	0.0570566	−	0.0274770i
$469$	−5.09134	+	22.3066i	−0.235096	+	1.03002i
$470$	−6.70284	+	8.40510i	−0.309179	+	0.387698i
$471$	11.4024	+	14.2982i	0.525396	+	0.658825i
$472$	−8.48559			−0.390581
$473$	28.8258	−	18.6573i	1.32541	−	0.857863i
$474$	−0.361089			−0.0165854
$475$	2.22308	+	2.78765i	0.102002	+	0.127906i
$476$	10.2960	−	12.9108i	0.471916	−	0.591764i
$477$	0.429419	−	1.88141i	0.0196617	−	0.0861437i
$478$	0.820635	−	0.395197i	0.0375350	−	0.0180759i
$479$	−2.67114			−0.122048			−0.0610238	−	0.998136i	$-0.519437\pi$
$479$	−2.67114			−0.122048			−0.0610238	+	0.998136i	$0.519437\pi$
$480$	−1.82965			−0.0835115
$481$	−27.1512	+	13.0753i	−1.23799	+	0.596185i
$482$	2.94355	+	12.8965i	0.134075	+	0.587420i
$483$	−52.8957	−	25.4732i	−2.40684	−	1.15907i
$484$	−3.65360	−	16.0075i	−0.166073	−	0.727612i
$485$	−3.81216	−	4.78030i	−0.173101	−	0.217062i
$486$	−3.23889	+	1.55977i	−0.146919	+	0.0707525i
$487$	−21.2315	−	26.6235i	−0.962093	−	1.20643i	−0.978434	−	0.206559i	$-0.933773\pi$
$487$	−21.2315	−	26.6235i	−0.962093	−	1.20643i	0.0163415	−	0.999866i	$-0.494798\pi$
$488$	2.52470	−	11.0615i	0.114288	−	0.500728i
$489$	−29.7931	−	14.3476i	−1.34729	−	0.648821i
$490$	14.4712	+	6.96896i	0.653742	+	0.314826i
$491$	−7.76631	+	9.73865i	−0.350489	+	0.439499i	−0.925558	−	0.378606i	$-0.876404\pi$
$491$	−7.76631	+	9.73865i	−0.350489	+	0.439499i	0.575069	+	0.818105i	$0.304975\pi$
$492$	3.44943	−	15.1130i	0.155512	−	0.681345i
$493$	−0.460996	−	2.01976i	−0.0207622	−	0.0909653i
$494$	8.76167	−	10.9868i	0.394206	−	0.494319i
$495$	−1.13486	+	1.42307i	−0.0510083	+	0.0639623i
$496$	0.802444	+	3.51574i	0.0360308	+	0.157861i
$497$	0.512822	−	2.24682i	0.0230032	−	0.100784i
$498$	−15.5630	+	19.5153i	−0.697393	+	0.874503i
$499$	−4.81259	−	2.31762i	−0.215441	−	0.103751i	0.323051	−	0.946382i	$-0.395291\pi$
$499$	−4.81259	−	2.31762i	−0.215441	−	0.103751i	−0.538492	+	0.842631i	$0.681006\pi$
$500$	−0.900969	−	0.433884i	−0.0402926	−	0.0194039i
$501$	−2.83489	+	12.4205i	−0.126654	+	0.554906i
$502$	5.77195	+	7.23780i	0.257615	+	0.323039i
$503$	34.1062	−	16.4247i	1.52072	−	0.732341i	0.527607	−	0.849488i	$-0.323089\pi$
$503$	34.1062	−	16.4247i	1.52072	−	0.732341i	0.993115	+	0.117147i	$0.0373749\pi$
$504$	−1.04079	−	1.30511i	−0.0463605	−	0.0581342i
$505$	−4.24722	−	18.6083i	−0.188999	−	0.828057i
$506$	−31.5234	−	15.1809i	−1.40139	−	0.674872i
$507$	−1.03140	−	4.51888i	−0.0458063	−	0.200690i
$508$	6.97760	−	3.36023i	0.309581	−	0.149086i
$509$	11.6829			0.517834			0.258917	−	0.965900i	$-0.416634\pi$
$509$	11.6829			0.517834			0.258917	+	0.965900i	$0.416634\pi$
$510$	−6.29157			−0.278595
$511$	−26.8549	+	12.9326i	−1.18799	+	0.572106i
$512$	0.222521	−	0.974928i	0.00983413	−	0.0430861i
$513$	−10.7885	+	13.5283i	−0.476323	+	0.597290i
$514$	2.47507	+	3.10364i	0.109171	+	0.136896i
$515$	−2.65562			−0.117020
$516$	6.24615	−	10.2437i	0.274971	−	0.450952i
$517$	−56.2932			−2.47577
$518$	22.8941	+	28.7083i	1.00591	+	1.26137i
$519$	19.1195	−	23.9751i	0.839253	−	1.05239i
$520$	−0.877007	+	3.84242i	−0.0384593	+	0.168501i
$521$	15.8822	−	7.64844i	0.695810	−	0.335084i	−0.0523259	−	0.998630i	$-0.516663\pi$
$521$	15.8822	−	7.64844i	0.695810	−	0.335084i	0.748136	+	0.663546i	$0.230949\pi$
$522$	−0.209422			−0.00916614
$523$	−39.2686			−1.71710			−0.858549	−	0.512732i	$-0.828634\pi$
$523$	−39.2686			−1.71710			−0.858549	+	0.512732i	$0.828634\pi$
$524$	−4.55982	+	2.19589i	−0.199197	+	0.0959280i
$525$	−1.95517	−	8.56616i	−0.0853307	−	0.373858i
$526$	12.6516	+	6.09271i	0.551638	+	0.265655i
$527$	2.75935	+	12.0895i	0.120199	+	0.526627i
$528$	−5.97342	−	7.49044i	−0.259960	−	0.325979i
$529$	−19.5034	+	9.39232i	−0.847972	+	0.408362i
$530$	3.46141	+	4.34047i	0.150354	+	0.188538i
$531$	−0.656357	+	2.87569i	−0.0284835	+	0.124794i
$532$	−15.4270	−	7.42926i	−0.668846	−	0.322099i
$533$	−30.0851	−	14.4882i	−1.30313	−	0.627555i
$534$	14.2115	−	17.8206i	0.614991	−	0.771174i
$535$	−0.713288	+	3.12512i	−0.0308381	+	0.135111i
$536$	1.06019	+	4.64501i	0.0457934	+	0.200634i
$537$	9.20602	−	11.5440i	0.397269	−	0.498160i
$538$	1.37650	−	1.72608i	0.0593451	−	0.0744164i
$539$	18.7151	+	81.9962i	0.806117	+	3.53183i
$540$	1.07988	−	4.73127i	0.0464707	−	0.203601i
$541$	−16.7982	+	21.0643i	−0.722212	+	0.905625i	−0.998461	−	0.0554607i	$-0.982337\pi$
$541$	−16.7982	+	21.0643i	−0.722212	+	0.905625i	0.276249	+	0.961086i	$0.410909\pi$
$542$	10.0463	+	4.83804i	0.431525	+	0.207811i
$543$	8.21155	+	3.95447i	0.352391	+	0.169703i
$544$	0.765179	−	3.35247i	0.0328068	−	0.143736i
$545$	2.41776	+	3.03177i	0.103565	+	0.129867i
$546$	−31.2001	+	15.0252i	−1.33524	+	0.643018i
$547$	15.3779	+	19.2833i	0.657514	+	0.824496i	0.993070	−	0.117524i	$-0.0374957\pi$
$547$	15.3779	+	19.2833i	0.657514	+	0.824496i	−0.335556	+	0.942020i	$0.608924\pi$
$548$	−0.838038	−	3.67168i	−0.0357992	−	0.156847i
$549$	−3.55334	−	1.71120i	−0.151653	−	0.0730321i
$550$	−1.16519	−	5.10504i	−0.0496840	−	0.217680i
$551$	−1.93540	+	0.932037i	−0.0824506	+	0.0397061i
$552$	−12.2254			−0.520348
$553$	0.947751			0.0403025
$554$	18.9952	−	9.14760i	0.807028	−	0.388644i
$555$	3.11305	−	13.6392i	0.132141	−	0.578950i
$556$	−2.69198	+	3.37564i	−0.114166	+	0.143159i
$557$	26.1446	+	32.7843i	1.10778	+	1.38912i	0.912848	+	0.408300i	$0.133878\pi$
$557$	26.1446	+	32.7843i	1.10778	+	1.38912i	0.194935	+	0.980816i	$0.437550\pi$
$558$	1.25352			0.0530657
$559$	−18.5186	−	18.0276i	−0.783254	−	0.762485i
$560$	4.80227			0.202933
$561$	−20.5407	−	25.7572i	−0.867229	−	1.08747i
$562$	1.94149	−	2.43455i	0.0818967	−	0.102695i
$563$	−7.02886	+	30.7955i	−0.296231	+	1.29787i	0.579459	+	0.815001i	$0.303264\pi$
$563$	−7.02886	+	30.7955i	−0.296231	+	1.29787i	−0.875690	+	0.482873i	$0.839593\pi$
$564$	−17.7217	+	8.53434i	−0.746220	+	0.359361i
$565$	16.1987			0.681483
$566$	−21.6237			−0.908913
$567$	42.9294	−	20.6737i	1.80287	−	0.868215i
$568$	−0.106787	−	0.467866i	−0.00448070	−	0.0196312i
$569$	1.96109	+	0.944410i	0.0822130	+	0.0395917i	0.474538	−	0.880235i	$-0.342615\pi$
$569$	1.96109	+	0.944410i	0.0822130	+	0.0395917i	−0.392325	+	0.919826i	$0.628329\pi$
$570$	1.45165	+	6.36011i	0.0608031	+	0.266396i
$571$	−9.77892	−	12.2624i	−0.409235	−	0.513164i	0.533912	−	0.845540i	$-0.320721\pi$
$571$	−9.77892	−	12.2624i	−0.409235	−	0.513164i	−0.943147	+	0.332376i	$0.892150\pi$
$572$	−18.5938	+	8.95431i	−0.777447	+	0.374399i
$573$	−28.5365	−	35.7836i	−1.19213	−	1.49488i
$574$	−9.05373	+	39.6670i	−0.377895	+	1.65567i
$575$	−6.02014	−	2.89915i	−0.251057	−	0.120903i
$576$	−0.313182	−	0.150821i	−0.0130493	−	0.00628419i
$577$	21.6309	−	27.1244i	0.900508	−	1.12920i	−0.0905661	−	0.995890i	$-0.528868\pi$
$577$	21.6309	−	27.1244i	0.900508	−	1.12920i	0.991074	−	0.133311i	$-0.0425609\pi$
$578$	−1.15165	+	5.04571i	−0.0479023	+	0.209874i
$579$	3.19647	+	14.0046i	0.132841	+	0.582013i
$580$	0.375633	−	0.471029i	0.0155973	−	0.0195584i
$581$	40.8481	−	51.2219i	1.69466	−	2.12504i
$582$	−2.48931	−	10.9064i	−0.103185	−	0.452085i
$583$	−6.46876	+	28.3415i	−0.267909	+	1.17378i
$584$	−3.86987	+	4.85266i	−0.160136	+	0.200805i
$585$	1.23432	+	0.594419i	0.0510330	+	0.0245762i
$586$	12.7643	+	6.14696i	0.527288	+	0.253929i
$587$	9.00430	−	39.4504i	0.371647	−	1.62829i	−0.350506	−	0.936560i	$-0.613990\pi$
$587$	9.00430	−	39.4504i	0.371647	−	1.62829i	0.722153	−	0.691733i	$-0.243152\pi$
$588$	18.3228	+	22.9760i	0.755618	+	0.947515i
$589$	11.5845	−	5.57882i	0.477333	−	0.229871i
$590$	−5.29068	−	6.63430i	−0.217814	−	0.273130i
$591$	−9.09190	−	39.8342i	−0.373991	−	1.63856i
$592$	6.88902	+	3.31758i	0.283137	+	0.136352i
$593$	1.13169	+	4.95825i	0.0464729	+	0.203611i	0.992834	−	0.119499i	$-0.0381288\pi$
$593$	1.13169	+	4.95825i	0.0464729	+	0.203611i	−0.946361	+	0.323110i	$0.895272\pi$
$594$	22.8951	−	11.0257i	0.939396	−	0.452389i
$595$	16.5135			0.676987
$596$	2.61173			0.106981
$597$	23.6346	−	11.3818i	0.967300	−	0.465827i
$598$	−5.86003	+	25.6745i	−0.239634	+	1.04991i
$599$	23.1115	−	28.9809i	0.944310	−	1.18413i	−0.0384532	−	0.999260i	$-0.512243\pi$
$599$	23.1115	−	28.9809i	0.944310	−	1.18413i	0.982763	−	0.184867i	$-0.0591855\pi$
$600$	−1.14077	−	1.43048i	−0.0465716	−	0.0583989i
$601$	13.7198			0.559640			0.279820	−	0.960052i	$-0.409725\pi$
$601$	13.7198			0.559640			0.279820	+	0.960052i	$0.409725\pi$
$602$	−16.3943	+	26.8865i	−0.668180	+	1.09581i
$603$	1.65616			0.0674439
$604$	−10.7941	−	13.5354i	−0.439206	−	0.550747i
$605$	10.2372	−	12.8370i	0.416199	−	0.521898i
$606$	7.77090	−	34.0466i	0.315671	−	1.38305i
$607$	−41.0022	+	19.7456i	−1.66423	+	0.801450i	−0.665756	+	0.746169i	$0.731891\pi$
$607$	−41.0022	+	19.7456i	−1.66423	+	0.801450i	−0.998471	+	0.0552805i	$0.982395\pi$
$608$	−3.56554			−0.144602
$609$	5.29357			0.214506
$610$	10.2223	−	4.92281i	0.413890	−	0.199319i
$611$	9.42828	+	41.3080i	0.381427	+	1.67114i
$612$	−1.07693	−	0.518624i	−0.0435325	−	0.0209641i
$613$	4.66692	+	20.4471i	0.188495	+	0.825852i	0.977410	+	0.211350i	$0.0677859\pi$
$613$	4.66692	+	20.4471i	0.188495	+	0.825852i	−0.788915	+	0.614502i	$0.789357\pi$
$614$	−3.31850	−	4.16126i	−0.133924	−	0.167935i
$615$	13.9665	−	6.72590i	0.563182	−	0.271214i
$616$	15.6784	+	19.6601i	0.631702	+	0.792130i
$617$	1.89770	−	8.31438i	0.0763987	−	0.334724i	−0.922256	−	0.386580i	$-0.873656\pi$
$617$	1.89770	−	8.31438i	0.0763987	−	0.334724i	0.998655	+	0.0518554i	$0.0165135\pi$
$618$	−4.37766	−	2.10817i	−0.176095	−	0.0848031i
$619$	−34.5196	−	16.6237i	−1.38746	−	0.668165i	−0.416883	−	0.908960i	$-0.636877\pi$
$619$	−34.5196	−	16.6237i	−1.38746	−	0.668165i	−0.970576	+	0.240795i	$0.922592\pi$
$620$	−2.24840	+	2.81940i	−0.0902978	+	0.113230i
$621$	7.21560	−	31.6136i	0.289552	−	1.26861i
$622$	2.32243	+	10.1752i	0.0931210	+	0.407990i
$623$	−37.3009	+	46.7738i	−1.49443	+	1.87395i
$624$	−4.49603	+	5.63784i	−0.179985	+	0.225694i
$625$	−0.222521	−	0.974928i	−0.00890084	−	0.0389971i
$626$	6.86294	−	30.0685i	0.274298	−	1.20178i
$627$	−21.2985	+	26.7074i	−0.850579	+	1.06659i
$628$	−9.00555	−	4.33684i	−0.359360	−	0.173059i
$629$	23.6891	+	11.4081i	0.944548	+	0.454870i
$630$	0.371454	−	1.62745i	0.0147991	−	0.0648390i
$631$	−26.9261	−	33.7643i	−1.07191	−	1.34413i	−0.935438	−	0.353491i	$-0.884995\pi$
$631$	−26.9261	−	33.7643i	−1.07191	−	1.34413i	−0.136473	−	0.990644i	$-0.543577\pi$
$632$	0.177811	−	0.0856290i	0.00707292	−	0.00340614i
$633$	−16.4262	−	20.5977i	−0.652881	−	0.818687i
$634$	−2.67504	−	11.7201i	−0.106240	−	0.465466i
$635$	6.97760	+	3.36023i	0.276898	+	0.133347i
$636$	2.26027	+	9.90291i	0.0896257	+	0.392676i
$637$	57.0344	−	27.4663i	2.25978	−	1.08825i
$638$	3.15472			0.124897
$639$	−0.166816			−0.00659912
$640$	0.900969	−	0.433884i	0.0356139	−	0.0171508i
$641$	2.38630	−	10.4551i	0.0942533	−	0.412951i	−0.905686	−	0.423949i	$-0.860644\pi$
$641$	2.38630	−	10.4551i	0.0942533	−	0.412951i	0.999940	+	0.0109979i	$0.00350081\pi$
$642$	−3.65671	+	4.58537i	−0.144319	+	0.180970i
$643$	1.61075	+	2.01981i	0.0635217	+	0.0796537i	0.812577	−	0.582853i	$-0.198064\pi$
$643$	1.61075	+	2.01981i	0.0635217	+	0.0796537i	−0.749056	+	0.662507i	$0.769492\pi$
$644$	32.0880			1.26445
$645$	11.9032	−	1.50339i	0.468689	−	0.0591957i
$646$	−12.2608			−0.482393
$647$	16.5217	+	20.7176i	0.649535	+	0.814491i	0.992159	−	0.124981i	$-0.0398871\pi$
$647$	16.5217	+	20.7176i	0.649535	+	0.814491i	−0.342624	+	0.939473i	$0.611316\pi$
$648$	6.18626	−	7.75732i	0.243019	−	0.304736i
$649$	9.88734	−	43.3193i	0.388112	−	1.70043i
$650$	−3.55093	+	1.71004i	−0.139279	+	0.0670732i
$651$	−31.6853			−1.24184
$652$	18.0734			0.707807
$653$	22.3291	−	10.7531i	0.873806	−	0.420803i	0.0574479	−	0.998349i	$-0.481704\pi$
$653$	22.3291	−	10.7531i	0.873806	−	0.420803i	0.816358	+	0.577546i	$0.195989\pi$
$654$	1.57878	+	6.91708i	0.0617351	+	0.270479i
$655$	−4.55982	−	2.19589i	−0.178167	−	0.0858006i
$656$	1.88530	+	8.26004i	0.0736086	+	0.322500i
$657$	1.34519	+	1.68681i	0.0524808	+	0.0658089i
$658$	46.5143	−	22.4001i	1.81331	−	0.873246i
$659$	14.6238	+	18.3377i	0.569664	+	0.714336i	0.980311	−	0.197458i	$-0.0632686\pi$
$659$	14.6238	+	18.3377i	0.569664	+	0.714336i	−0.410647	+	0.911794i	$0.634697\pi$
$660$	2.13189	−	9.34042i	0.0829837	−	0.363575i
$661$	1.56660	+	0.754435i	0.0609337	+	0.0293441i	0.464102	−	0.885782i	$-0.346377\pi$
$661$	1.56660	+	0.754435i	0.0609337	+	0.0293441i	−0.403169	+	0.915126i	$0.632091\pi$
$662$	27.6060	+	13.2943i	1.07294	+	0.516699i
$663$	−15.4604	+	19.3867i	−0.600432	+	0.752918i
$664$	3.03575	−	13.3005i	0.117810	−	0.516160i
$665$	−3.81016	−	16.6934i	−0.147752	−	0.647342i
$666$	1.65716	−	2.07801i	0.0642136	−	0.0805213i
$667$	2.50992	−	3.14734i	0.0971846	−	0.121866i
$668$	−1.54942	−	6.78846i	−0.0599489	−	0.262653i
$669$	−4.20991	+	18.4448i	−0.162765	+	0.713118i
$670$	−2.97059	+	3.72501i	−0.114764	+	0.143910i
$671$	53.5274	+	25.7774i	2.06640	+	0.995127i
$672$	7.91633	+	3.81230i	0.305379	+	0.147063i
$673$	3.22858	−	14.1453i	0.124453	−	0.545263i	−0.873806	−	0.486275i	$-0.838355\pi$
$673$	3.22858	−	14.1453i	0.124453	−	0.545263i	0.998259	−	0.0589881i	$-0.0187874\pi$
$674$	1.76488	+	2.21309i	0.0679808	+	0.0852452i
$675$	4.37235	−	2.10561i	0.168292	−	0.0810451i
$676$	1.57950	+	1.98063i	0.0607501	+	0.0761782i
$677$	−4.96056	−	21.7336i	−0.190650	−	0.835291i	−0.976266	−	0.216576i	$-0.930511\pi$
$677$	−4.96056	−	21.7336i	−0.190650	−	0.835291i	0.785616	−	0.618714i	$-0.212346\pi$
$678$	26.7028	+	12.8594i	1.02551	+	0.493861i
$679$	6.53370	+	28.6260i	0.250740	+	1.09857i
$680$	3.09814	−	1.49199i	0.118808	−	0.0572151i
$681$	−41.3685			−1.58524
$682$	−18.8830			−0.723067
$683$	16.5556	−	7.97276i	0.633483	−	0.305069i	−0.0894461	−	0.995992i	$-0.528510\pi$
$683$	16.5556	−	7.97276i	0.633483	−	0.305069i	0.722929	+	0.690922i	$0.242795\pi$
$684$	−0.275793	+	1.20833i	−0.0105452	+	0.0462016i
$685$	2.34813	−	2.94446i	0.0897174	−	0.112502i
$686$	−27.1326	−	34.0232i	−1.03593	−	1.29901i
$687$	3.36690			0.128455
$688$	−0.646587	+	6.52548i	−0.0246509	+	0.248782i
$689$	21.8804			0.833577
$690$	−7.62242	−	9.55822i	−0.290181	−	0.363875i
$691$	−16.5003	+	20.6907i	−0.627701	+	0.787112i	−0.989405	−	0.145181i	$-0.953624\pi$
$691$	−16.5003	+	20.6907i	−0.627701	+	0.787112i	0.361704	+	0.932293i	$0.382195\pi$
$692$	−3.72950	+	16.3400i	−0.141774	+	0.621154i
$693$	7.87536	−	3.79257i	0.299160	−	0.144068i
$694$	−17.5985			−0.668030
$695$	−4.31761			−0.163776
$696$	0.993143	−	0.478272i	0.0376450	−	0.0181289i
$697$	6.48295	+	28.4037i	0.245559	+	1.07587i
$698$	−22.9313	−	11.0431i	−0.867963	−	0.417989i
$699$	−2.72210	−	11.9263i	−0.102959	−	0.451094i
$700$	2.99417	+	3.75457i	0.113169	+	0.141909i
$701$	29.5799	−	14.2449i	1.11722	−	0.538024i	0.218187	−	0.975907i	$-0.429986\pi$
$701$	29.5799	−	14.2449i	1.11722	−	0.538024i	0.899032	+	0.437883i	$0.144272\pi$
$702$	−11.9252	−	14.9538i	−0.450089	−	0.564394i
$703$	6.06658	−	26.5794i	0.228805	−	1.00246i
$704$	4.71777	+	2.27196i	0.177808	+	0.0856276i
$705$	−17.7217	−	8.53434i	−0.667439	−	0.321422i
$706$	8.13049	−	10.1953i	0.305995	−	0.383706i
$707$	−20.3963	+	89.3620i	−0.767081	+	3.36080i
$708$	−3.45478	−	15.1364i	−0.129838	−	0.568860i
$709$	−13.8766	+	17.4007i	−0.521146	+	0.653496i	−0.970852	−	0.239681i	$-0.922957\pi$
$709$	−13.8766	+	17.4007i	−0.521146	+	0.653496i	0.449706	+	0.893177i	$0.351529\pi$
$710$	0.299212	−	0.375200i	0.0112292	−	0.0140810i
$711$	−0.0152653	−	0.0668817i	−0.000572494	−	0.00250826i
$712$	−2.77213	+	12.1455i	−0.103890	+	0.455172i
$713$	−15.0234	+	18.8388i	−0.562633	+	0.705519i
$714$	27.2217	+	13.1093i	1.01875	+	0.490603i
$715$	−18.5938	−	8.95431i	−0.695370	−	0.334872i
$716$	−1.79575	+	7.86770i	−0.0671104	+	0.294030i
$717$	1.03905	+	1.30293i	0.0388041	+	0.0486587i
$718$	−4.66775	+	2.24787i	−0.174199	+	0.0838898i
$719$	−12.5989	−	15.7985i	−0.469859	−	0.589185i	0.489277	−	0.872128i	$-0.337261\pi$
$719$	−12.5989	−	15.7985i	−0.469859	−	0.589185i	−0.959137	+	0.282943i	$0.908689\pi$
$720$	−0.0773496	−	0.338891i	−0.00288265	−	0.0126297i
$721$	11.4900	+	5.53332i	0.427912	+	0.206071i
$722$	−1.39897	−	6.12930i	−0.0520644	−	0.228109i
$723$	−21.8060	+	10.5012i	−0.810976	+	0.390545i
$724$	−4.98136			−0.185131
$725$	0.602469			0.0223751
$726$	27.0662	−	13.0344i	1.00452	−	0.483751i
$727$	7.42464	−	32.5295i	0.275365	−	1.20645i	−0.628218	−	0.778037i	$-0.716215\pi$
$727$	7.42464	−	32.5295i	0.275365	−	1.20645i	0.903583	−	0.428414i	$-0.140927\pi$
$728$	11.8007	−	14.7976i	0.437364	−	0.548437i
$729$	14.4578	+	18.1296i	0.535475	+	0.671465i
$730$	−6.20679			−0.229723
$731$	−2.22341	+	22.4391i	−0.0822357	+	0.829938i
$732$	20.7590			0.767275
$733$	7.36559	+	9.23616i	0.272054	+	0.341145i	0.899025	−	0.437898i	$-0.144277\pi$
$733$	7.36559	+	9.23616i	0.272054	+	0.341145i	−0.626971	+	0.779043i	$0.715705\pi$
$734$	−7.26287	+	9.10735i	−0.268077	+	0.336158i
$735$	−6.53932	+	28.6506i	−0.241207	+	1.05679i
$736$	6.02014	−	2.89915i	0.221905	−	0.106864i
$737$	−24.9483			−0.918982
$738$	2.94508			0.108410
$739$	41.5555	−	20.0121i	1.52864	−	0.736156i	0.534596	−	0.845108i	$-0.320464\pi$
$739$	41.5555	−	20.0121i	1.52864	−	0.736156i	0.994047	+	0.108952i	$0.0347495\pi$
$740$	1.70145	+	7.45453i	0.0625465	+	0.274034i
$741$	23.1651	+	11.1557i	0.850992	+	0.409816i
$742$	−5.93254	−	25.9922i	−0.217790	−	0.954202i
$743$	10.1593	+	12.7394i	0.372709	+	0.467363i	0.932447	−	0.361307i	$-0.117669\pi$
$743$	10.1593	+	12.7394i	0.372709	+	0.467363i	−0.559737	+	0.828670i	$0.689098\pi$
$744$	−5.94457	+	2.86276i	−0.217939	+	0.104954i
$745$	1.62839	+	2.04194i	0.0596596	+	0.0748108i
$746$	0.00227463	−	0.00996579i	8.32800e−5	−	0.000364873i
$747$	−4.27260	−	2.05758i	−0.156326	−	0.0752828i
$748$	16.2229	+	7.81254i	0.593168	+	0.285655i
$749$	9.59777	−	12.0352i	0.350695	−	0.439757i
$750$	0.407135	−	1.78377i	0.0148665	−	0.0651342i
$751$	−3.81050	−	16.6949i	−0.139047	−	0.609205i	−0.995645	−	0.0932214i	$-0.970284\pi$
$751$	−3.81050	−	16.6949i	−0.139047	−	0.609205i	0.856598	−	0.515984i	$-0.172574\pi$
$752$	6.70284	−	8.40510i	0.244427	−	0.306502i
$753$	−10.5606	+	13.2426i	−0.384851	+	0.482588i
$754$	−0.528369	−	2.31494i	−0.0192421	−	0.0843051i
$755$	3.85238	−	16.8784i	0.140202	−	0.614266i
$756$	−14.5305	+	18.2207i	−0.528470	+	0.662681i
$757$	−37.8583	−	18.2316i	−1.37598	−	0.662639i	−0.407845	−	0.913051i	$-0.633720\pi$
$757$	−37.8583	−	18.2316i	−1.37598	−	0.662639i	−0.968139	+	0.250412i	$0.919434\pi$
$758$	13.8120	+	6.65151i	0.501675	+	0.241594i
$759$	14.2450	−	62.4113i	0.517059	−	2.26539i
$760$	−2.22308	−	2.78765i	−0.0806395	−	0.101119i
$761$	−15.7150	+	7.56794i	−0.569668	+	0.274338i	−0.696465	−	0.717591i	$-0.745245\pi$
$761$	−15.7150	+	7.56794i	−0.569668	+	0.274338i	0.126797	+	0.991929i	$0.459530\pi$
$762$	8.83472	+	11.0784i	0.320048	+	0.401328i
$763$	−4.14382	−	18.1553i	−0.150016	−	0.657264i
$764$	22.5379	+	10.8537i	0.815392	+	0.392672i
$765$	−0.265981	−	1.16534i	−0.00961655	−	0.0421328i
$766$	34.0434	−	16.3944i	1.23004	−	0.592355i
$767$	−33.4437			−1.20758
$768$	1.82965			0.0660217
$769$	30.4332	−	14.6559i	1.09745	−	0.528504i	0.204594	−	0.978847i	$-0.434413\pi$
$769$	30.4332	−	14.6559i	1.09745	−	0.528504i	0.892855	+	0.450343i	$0.148698\pi$
$770$	−5.59557	+	24.5158i	−0.201650	+	0.883488i
$771$	−4.52850	+	5.67856i	−0.163090	+	0.204508i
$772$	−4.89510	−	6.13826i	−0.176178	−	0.220921i
$773$	−37.5895			−1.35200			−0.676000	−	0.736902i	$-0.736288\pi$
$773$	−37.5895			−1.35200			−0.676000	+	0.736902i	$0.736288\pi$
$774$	2.16141	+	0.723866i	0.0776903	+	0.0260188i
$775$	−3.60615			−0.129537
$776$	3.81216	+	4.78030i	0.136849	+	0.171603i
$777$	−41.8881	+	52.5261i	−1.50273	+	1.88436i
$778$	1.51204	−	6.62468i	0.0542093	−	0.237506i
$779$	27.2173	−	13.1072i	0.975160	−	0.469613i
$780$	−7.21106			−0.258198
$781$	2.51291			0.0899188
$782$	20.7013	−	9.96924i	0.740278	−	0.356499i
$783$	0.650595	+	2.85044i	0.0232504	+	0.101867i
$784$	−14.4712	−	6.96896i	−0.516828	−	0.248891i
$785$	−2.22419	−	9.74480i	−0.0793846	−	0.347807i
$786$	−5.77343	−	7.23966i	−0.205932	−	0.258230i
$787$	−28.4588	+	13.7050i	−1.01445	+	0.488532i	−0.865817	−	0.500361i	$-0.833200\pi$
$787$	−28.4588	+	13.7050i	−1.01445	+	0.488532i	−0.148630	+	0.988893i	$0.547486\pi$
$788$	13.9234	+	17.4594i	0.496001	+	0.621966i
$789$	−5.71709	+	25.0482i	−0.203534	+	0.891740i
$790$	0.177811	+	0.0856290i	0.00632621	+	0.00304654i
$791$	−70.0867	−	33.7520i	−2.49200	−	1.20008i
$792$	1.13486	−	1.42307i	0.0403256	−	0.0505667i
$793$	9.95045	−	43.5958i	0.353351	−	1.54813i
$794$	−4.62785	−	20.2759i	−0.164236	−	0.719566i
$795$	−6.33315	+	7.94152i	−0.224614	+	0.281657i
$796$	−8.93925	+	11.2095i	−0.316843	+	0.397309i
$797$	−4.10753	−	17.9963i	−0.145496	−	0.637461i	−0.994103	−	0.108437i	$-0.965415\pi$
$797$	−4.10753	−	17.9963i	−0.145496	−	0.637461i	0.848607	−	0.529024i	$-0.177442\pi$
$798$	6.97124	−	30.5430i	0.246779	−	1.08121i
$799$	23.0489	−	28.9024i	0.815413	−	1.02250i
$800$	0.900969	+	0.433884i	0.0318541	+	0.0153401i
$801$	3.90157	+	1.87890i	0.137855	+	0.0663876i
$802$	0.701738	−	3.07451i	0.0247792	−	0.108565i
$803$	−20.2639	−	25.4101i	−0.715097	−	0.896704i
$804$	−7.85400	+	3.78229i	−0.276989	+	0.133391i
$805$	20.0066	+	25.0874i	0.705139	+	0.884216i
$806$	3.16262	+	13.8563i	0.111398	+	0.488069i
$807$	3.63935	+	1.75262i	0.128111	+	0.0616950i
$808$	4.24722	+	18.6083i	0.149417	+	0.654637i
$809$	−34.0472	+	16.3963i	−1.19704	+	0.576462i	−0.922830	−	0.385208i	$-0.874130\pi$
$809$	−34.0472	+	16.3963i	−1.19704	+	0.576462i	−0.274207	+	0.961671i	$0.588415\pi$
$810$	9.92199			0.348623
$811$	0.681570			0.0239332			0.0119666	−	0.999928i	$-0.496191\pi$
$811$	0.681570			0.0239332			0.0119666	+	0.999928i	$0.496191\pi$
$812$	−2.60670	+	1.25532i	−0.0914773	+	0.0440531i
$813$	−4.53977	+	19.8900i	−0.159217	+	0.697574i
$814$	−24.9634	+	31.3031i	−0.874967	+	1.09717i
$815$	11.2686	+	14.1303i	0.394720	+	0.494963i
$816$	6.29157			0.220249
$817$	23.1965	−	2.92974i	0.811544	−	0.102498i
$818$	5.38357			0.188232
$819$	−4.10200	−	5.14374i	−0.143335	−	0.179737i
$820$	−5.28249	+	6.62404i	−0.184473	+	0.231321i
$821$	−3.30330	+	14.4727i	−0.115286	+	0.505101i	0.884006	+	0.467476i	$0.154836\pi$
$821$	−3.30330	+	14.4727i	−0.115286	+	0.505101i	−0.999292	+	0.0376253i	$0.988021\pi$
$822$	6.20826	−	2.98974i	0.216538	−	0.104279i
$823$	16.1589			0.563262			0.281631	−	0.959523i	$-0.409125\pi$
$823$	16.1589			0.563262			0.281631	+	0.959523i	$0.409125\pi$
$824$	2.65562			0.0925128
$825$	8.63185	−	4.15688i	0.300522	−	0.144724i
$826$	9.06775	+	39.7284i	0.315507	+	1.38233i
$827$	2.38699	+	1.14951i	0.0830037	+	0.0399725i	0.474925	−	0.880026i	$-0.342475\pi$
$827$	2.38699	+	1.14951i	0.0830037	+	0.0399725i	−0.391921	+	0.919999i	$0.628189\pi$
$828$	−0.516838	−	2.26442i	−0.0179614	−	0.0786939i
$829$	−4.02963	−	5.05299i	−0.139955	−	0.175498i	0.706914	−	0.707299i	$-0.250087\pi$
$829$	−4.02963	−	5.05299i	−0.139955	−	0.175498i	−0.846869	+	0.531802i	$0.821515\pi$
$830$	12.2915	−	5.91928i	0.426645	−	0.205461i
$831$	24.0509	+	30.1588i	0.834315	+	1.04620i
$832$	0.877007	−	3.84242i	0.0304048	−	0.133212i
$833$	−49.7618	−	23.9640i	−1.72415	−	0.830305i
$834$	−7.11738	−	3.42755i	−0.246455	−	0.118686i
$835$	4.34138	−	5.44392i	0.150240	−	0.188395i
$836$	4.15454	−	18.2022i	0.143688	−	0.629537i
$837$	−3.89421	−	17.0617i	−0.134604	−	0.589737i
$838$	−3.35056	+	4.20147i	−0.115743	+	0.145137i
$839$	−1.16098	+	1.45582i	−0.0400814	+	0.0502605i	−0.801468	−	0.598037i	$-0.795947\pi$
$839$	−1.16098	+	1.45582i	−0.0400814	+	0.0502605i	0.761387	+	0.648298i	$0.224519\pi$
$840$	1.95517	+	8.56616i	0.0674598	+	0.295561i
$841$	6.37234	−	27.9190i	0.219736	−	0.962726i
$842$	−3.75186	+	4.70468i	−0.129298	+	0.162134i
$843$	5.13313	+	2.47198i	0.176794	+	0.0851397i
$844$	12.9733	+	6.24759i	0.446558	+	0.215051i
$845$	−0.563718	+	2.46981i	−0.0193925	+	0.0849641i
$846$	−2.32995	−	2.92166i	−0.0801052	−	0.100449i
$847$	−71.0406	+	34.2113i	−2.44098	+	1.17552i
$848$	−3.46141	−	4.34047i	−0.118865	−	0.149052i
$849$	−8.80377	−	38.5718i	−0.302145	−	1.32378i
$850$	3.09814	+	1.49199i	0.106265	+	0.0511748i
$851$	11.3688	+	49.8100i	0.389718	+	1.70747i
$852$	0.791091	−	0.380969i	0.0271023	−	0.0130518i
$853$	29.4659			1.00889			0.504446	−	0.863443i	$-0.331697\pi$
$853$	29.4659			1.00889			0.504446	+	0.863443i	$0.331697\pi$
$854$	−54.4862			−1.86448
$855$	−1.11666	+	0.537757i	−0.0381891	+	0.0183909i
$856$	0.713288	−	3.12512i	0.0243797	−	0.106814i
$857$	27.9411	−	35.0370i	0.954448	−	1.19684i	−0.0259198	−	0.999664i	$-0.508251\pi$
$857$	27.9411	−	35.0370i	0.954448	−	1.19684i	0.980368	−	0.197176i	$-0.0631771\pi$
$858$	−23.5427	−	29.5216i	−0.803733	−	1.00785i
$859$	−22.4808			−0.767035			−0.383518	−	0.923534i	$-0.625287\pi$
$859$	−22.4808			−0.767035			−0.383518	+	0.923534i	$0.625287\pi$
$860$	−5.50497	+	3.56305i	−0.187718	+	0.121499i
$861$	−74.4430			−2.53701
$862$	4.33376	+	5.43437i	0.147609	+	0.185095i
$863$	34.4311	−	43.1753i	1.17205	−	1.46970i	0.319091	−	0.947724i	$-0.396622\pi$
$863$	34.4311	−	43.1753i	1.17205	−	1.46970i	0.852958	−	0.521980i	$-0.174806\pi$
$864$	−1.07988	+	4.73127i	−0.0367383	+	0.160961i
$865$	−15.1004	+	7.27199i	−0.513430	+	0.247255i
$866$	−11.5295			−0.391790
$867$	−9.46928			−0.321594
$868$	15.6027	−	7.51387i	0.529591	−	0.255037i
$869$	0.229956	+	1.00750i	0.00780073	+	0.0341772i
$870$	0.993143	+	0.478272i	0.0336707	+	0.0162149i
$871$	4.17847	+	18.3071i	0.141582	+	0.620311i
$872$	−2.41776	−	3.03177i	−0.0818756	−	0.102669i
$873$	1.91487	−	0.922151i	0.0648084	−	0.0312101i
$874$	−14.8543	−	18.6267i	−0.502453	−	0.630056i
$875$	−1.06861	+	4.68187i	−0.0361255	+	0.158276i
$876$	−10.2316	−	4.92728i	−0.345694	−	0.166477i
$877$	33.9371	+	16.3432i	1.14597	+	0.551872i	0.907822	−	0.419356i	$-0.137744\pi$
$877$	33.9371	+	16.3432i	1.14597	+	0.551872i	0.238151	+	0.971228i	$0.423459\pi$
$878$	19.5775	−	24.5494i	0.660708	−	0.828501i
$879$	−5.76800	+	25.2712i	−0.194550	+	0.852378i
$880$	1.16519	+	5.10504i	0.0392786	+	0.172091i
$881$	−3.25376	+	4.08009i	−0.109622	+	0.137462i	−0.833616	−	0.552345i	$-0.813733\pi$
$881$	−3.25376	+	4.08009i	−0.109622	+	0.137462i	0.723994	+	0.689807i	$0.242305\pi$
$882$	−3.48106	+	4.36511i	−0.117213	+	0.146981i
$883$	10.2588	+	44.9465i	0.345235	+	1.51257i	0.787854	+	0.615862i	$0.211192\pi$
$883$	10.2588	+	44.9465i	0.345235	+	1.51257i	−0.442620	+	0.896710i	$0.645951\pi$
$884$	3.01575	−	13.2129i	0.101431	−	0.444396i
$885$	9.68007	−	12.1384i	0.325392	−	0.408029i
$886$	−11.6390	−	5.60502i	−0.391018	−	0.188304i
$887$	9.33094	+	4.49354i	0.313302	+	0.150878i	0.583926	−	0.811807i	$-0.301516\pi$
$887$	9.33094	+	4.49354i	0.313302	+	0.150878i	−0.270624	+	0.962685i	$0.587230\pi$
$888$	−3.11305	+	13.6392i	−0.104467	+	0.457700i
$889$	−23.1885	−	29.0774i	−0.777717	−	0.975226i
$890$	−11.2241	+	5.40525i	−0.376234	+	0.181185i
$891$	32.3933	+	40.6199i	1.08522	+	1.36082i
$892$	−2.30094	−	10.0811i	−0.0770413	−	0.337540i
$893$	−34.5354	−	16.6314i	−1.15568	−	0.556548i
$894$	1.06333	+	4.65874i	0.0355630	+	0.155812i
$895$	−7.27085	+	3.50146i	−0.243038	+	0.117041i
$896$	−4.80227			−0.160433
$897$	−48.1832			−1.60879
$898$	6.95785	−	3.35073i	0.232187	−	0.111815i
$899$	0.483447	−	2.11812i	0.0161239	−	0.0706433i
$900$	0.216729	−	0.271769i	0.00722429	−	0.00905897i
$901$	−11.9027	−	14.9255i	−0.396536	−	0.497240i
$902$	−44.3646			−1.47718
$903$	−54.6342	−	18.2972i	−1.81811	−	0.608893i
$904$	−16.1987			−0.538759
$905$	−3.10583	−	3.89458i	−0.103241	−	0.129460i
$906$	19.7494	−	24.7650i	0.656130	−	0.822761i
$907$	11.2091	−	49.1103i	0.372192	−	1.63068i	−0.348417	−	0.937340i	$-0.613281\pi$
$907$	11.2091	−	49.1103i	0.372192	−	1.63068i	0.720610	−	0.693341i	$-0.243862\pi$
$908$	20.3710	−	9.81015i	0.676035	−	0.325561i
$909$	6.63469			0.220059
$910$	18.9269			0.627420
$911$	26.5705	−	12.7957i	0.880319	−	0.423939i	0.0615779	−	0.998102i	$-0.480387\pi$
$911$	26.5705	−	12.7957i	0.880319	−	0.423939i	0.818741	+	0.574163i	$0.194672\pi$
$912$	−1.45165	−	6.36011i	−0.0480691	−	0.210604i
$913$	64.3624	+	30.9953i	2.13008	+	1.02579i
$914$	−2.89963	−	12.7041i	−0.0959113	−	0.420215i
$915$	12.9430	+	16.2301i	0.427884	+	0.536549i
$916$	−1.65796	+	0.798430i	−0.0547805	+	0.0263809i
$917$	15.1535	+	19.0019i	0.500414	+	0.627499i
$918$	−3.71337	+	16.2693i	−0.122559	+	0.536968i
$919$	2.98740	+	1.43866i	0.0985454	+	0.0474570i	0.482507	−	0.875892i	$-0.339726\pi$
$919$	2.98740	+	1.43866i	0.0985454	+	0.0474570i	−0.383962	+	0.923349i	$0.625441\pi$
$920$	6.02014	+	2.89915i	0.198478	+	0.0955820i
$921$	6.07168	−	7.61364i	0.200069	−	0.250878i
$922$	7.06591	−	30.9578i	0.232703	−	1.01954i
$923$	−0.420874	−	1.84397i	−0.0138532	−	0.0606951i
$924$	−28.6860	+	35.9711i	−0.943700	+	1.18336i
$925$	−4.76735	+	5.97807i	−0.156750	+	0.196558i
$926$	−2.77983	−	12.1792i	−0.0913507	−	0.400234i
$927$	0.205411	−	0.899964i	0.00674658	−	0.0295587i
$928$	−0.375633	+	0.471029i	−0.0123308	+	0.0154623i
$929$	9.26494	+	4.46176i	0.303973	+	0.146386i	0.579652	−	0.814864i	$-0.303189\pi$
$929$	9.26494	+	4.46176i	0.303973	+	0.146386i	−0.275679	+	0.961250i	$0.588903\pi$
$930$	−5.94457	−	2.86276i	−0.194930	−	0.0938734i
$931$	−12.7436	+	55.8332i	−0.417653	+	1.82986i
$932$	4.16865	+	5.22733i	0.136549	+	0.171227i
$933$	−17.2048	+	8.28538i	−0.563259	+	0.271251i
$934$	−13.0648	−	16.3827i	−0.427492	−	0.536058i
$935$	4.00673	+	17.5546i	0.131034	+	0.574097i
$936$	−1.23432	−	0.594419i	−0.0403451	−	0.0194292i
$937$	4.68620	+	20.5316i	0.153091	+	0.670738i	0.991976	+	0.126428i	$0.0403512\pi$
$937$	4.68620	+	20.5316i	0.153091	+	0.670738i	−0.838884	+	0.544310i	$0.816792\pi$
$938$	20.6144	−	9.92737i	0.673084	−	0.324140i
$939$	56.4295			1.84151
$940$	10.7505			0.350643
$941$	−27.7876	+	13.3818i	−0.905851	+	0.436235i	−0.827999	−	0.560730i	$-0.810521\pi$
$941$	−27.7876	+	13.3818i	−0.905851	+	0.436235i	−0.0778526	+	0.996965i	$0.524806\pi$
$942$	4.06947	−	17.8295i	0.132591	−	0.580918i
$943$	−35.2968	+	44.2608i	−1.14942	+	1.44133i
$944$	5.29068	+	6.63430i	0.172197	+	0.215928i
$945$	−23.3052			−0.758117
$946$	−32.5595	−	10.9043i	−1.05860	−	0.354529i
$947$	26.7176			0.868206			0.434103	−	0.900863i	$-0.357065\pi$
$947$	26.7176			0.868206			0.434103	+	0.900863i	$0.357065\pi$
$948$	0.225136	+	0.282311i	0.00731206	+	0.00916904i
$949$	−15.2521	+	19.1255i	−0.495103	+	0.620839i
$950$	0.793407	−	3.47614i	0.0257415	−	0.112781i
$951$	19.8170	−	9.54335i	0.642609	−	0.309464i
$952$	−16.5135			−0.535205
$953$	−32.4022			−1.04961			−0.524806	−	0.851222i	$-0.675862\pi$
$953$	−32.4022			−1.04961			−0.524806	+	0.851222i	$0.675862\pi$
$954$	−1.73868	+	0.837305i	−0.0562919	+	0.0271088i
$955$	5.56640	+	24.3880i	0.180124	+	0.789177i
$956$	−0.820635	−	0.395197i	−0.0265412	−	0.0127816i
$957$	1.28440	+	5.62731i	0.0415187	+	0.181905i
$958$	1.66543	+	2.08838i	0.0538076	+	0.0674726i
$959$	−16.2948	+	7.84717i	−0.526187	+	0.253398i
$960$	1.14077	+	1.43048i	0.0368181	+	0.0461684i
$961$	4.00442	−	17.5445i	0.129175	−	0.565952i
$962$	27.1512	+	13.0753i	0.875391	+	0.421566i
$963$	−1.00390	−	0.483453i	−0.0323503	−	0.0155791i
$964$	8.24763	−	10.3422i	0.265638	−	0.333100i
$965$	1.74704	−	7.65428i	0.0562392	−	0.246400i
$966$	13.0642	+	57.2378i	0.420332	+	1.84160i
$967$	−21.8104	+	27.3494i	−0.701376	+	0.879498i	−0.997125	−	0.0757680i	$-0.975859\pi$
$967$	−21.8104	+	27.3494i	−0.701376	+	0.879498i	0.295750	+	0.955265i	$0.404431\pi$
$968$	−10.2372	+	12.8370i	−0.329035	+	0.412596i
$969$	−4.99178	−	21.8704i	−0.160359	−	0.702579i
$970$	−1.36054	+	5.96093i	−0.0436844	+	0.191394i
$971$	−0.456355	+	0.572251i	−0.0146451	+	0.0183644i	−0.789100	−	0.614265i	$-0.789453\pi$
$971$	−0.456355	+	0.572251i	−0.0146451	+	0.0183644i	0.774455	+	0.632629i	$0.218024\pi$
$972$	3.23889	+	1.55977i	0.103888	+	0.0500296i
$973$	18.6810	+	8.99629i	0.598885	+	0.288408i
$974$	−7.57745	+	33.1990i	−0.242797	+	1.06376i
$975$	−4.49603	−	5.63784i	−0.143988	−	0.180555i
$976$	−10.2223	+	4.92281i	−0.327208	+	0.157575i
$977$	−15.3052	−	19.1921i	−0.489657	−	0.614011i	0.474204	−	0.880415i	$-0.342736\pi$
$977$	−15.3052	−	19.1921i	−0.489657	−	0.614011i	−0.963861	+	0.266404i	$0.914164\pi$
$978$	7.35829	+	32.2388i	0.235292	+	1.03088i
$979$	−58.7732	−	28.3037i	−1.87840	−	0.904590i
$980$	−3.57409	−	15.6591i	−0.114170	−	0.500212i
$981$	−1.21445	+	0.584849i	−0.0387744	+	0.0186728i
$982$	12.4562			0.397493
$983$	37.0727			1.18244			0.591218	−	0.806511i	$-0.298647\pi$
$983$	37.0727			1.18244			0.591218	+	0.806511i	$0.298647\pi$
$984$	−13.9665	+	6.72590i	−0.445235	+	0.214414i
$985$	−4.96921	+	21.7715i	−0.158332	+	0.693699i
$986$	−1.29168	+	1.61972i	−0.0411356	+	0.0515824i
$987$	58.8942	+	73.8510i	1.87462	+	2.35070i
$988$	−14.0526			−0.447074
$989$	−36.7834	+	23.8078i	−1.16964	+	0.757043i
$990$	1.82018			0.0578491
$991$	−1.53550	−	1.92546i	−0.0487769	−	0.0611642i	0.756845	−	0.653595i	$-0.226740\pi$
$991$	−1.53550	−	1.92546i	−0.0487769	−	0.0611642i	−0.805622	+	0.592431i	$0.798168\pi$
$992$	2.24840	−	2.81940i	0.0713867	−	0.0895161i
$993$	−12.4747	+	54.6554i	−0.395874	+	1.73444i
$994$	−2.07638	+	0.999930i	−0.0658586	+	0.0317159i
$995$	−14.3374			−0.454527
$996$	24.9610			0.790921
$997$	5.04682	−	2.43042i	0.159834	−	0.0769722i	−0.352256	−	0.935904i	$-0.614585\pi$
$997$	5.04682	−	2.43042i	0.159834	−	0.0769722i	0.512091	+	0.858931i	$0.328871\pi$
$998$	1.18861	+	5.20764i	0.0376248	+	0.164845i
$999$	−33.4320	−	16.1000i	−1.05774	−	0.509382i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.c.11.3	✓	18
43.4	even	7	inner	430.2.k.c.391.3	yes	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.c.11.3	✓	18	1.1	even	1	trivial
430.2.k.c.391.3	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)

\(f(q)\)	\(=\)	\(q+(-0.623490 - 0.781831i) q^{2} +(1.14077 - 1.43048i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(-0.900969 + 0.433884i) q^{5} -1.82965 q^{6} +4.80227 q^{7} +(0.900969 - 0.433884i) q^{8} +(-0.0773496 - 0.338891i) q^{9} +O(q^{10})\)	\(q+(-0.623490 - 0.781831i) q^{2} +(1.14077 - 1.43048i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(-0.900969 + 0.433884i) q^{5} -1.82965 q^{6} +4.80227 q^{7} +(0.900969 - 0.433884i) q^{8} +(-0.0773496 - 0.338891i) q^{9} +(0.900969 + 0.433884i) q^{10} +(1.16519 + 5.10504i) q^{11} +(1.14077 + 1.43048i) q^{12} +(3.55093 - 1.71004i) q^{13} +(-2.99417 - 3.75457i) q^{14} +(-0.407135 + 1.78377i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-3.09814 - 1.49199i) q^{17} +(-0.216729 + 0.271769i) q^{18} +(-0.793407 + 3.47614i) q^{19} +(-0.222521 - 0.974928i) q^{20} +(5.47827 - 6.86953i) q^{21} +(3.26480 - 4.09393i) q^{22} +(-1.48685 - 6.51432i) q^{23} +(0.407135 - 1.78377i) q^{24} +(0.623490 - 0.781831i) q^{25} +(-3.55093 - 1.71004i) q^{26} +(4.37235 + 2.10561i) q^{27} +(-1.06861 + 4.68187i) q^{28} +(0.375633 + 0.471029i) q^{29} +(1.64845 - 0.793854i) q^{30} +(-2.24840 - 2.81940i) q^{31} +(0.222521 + 0.974928i) q^{32} +(8.63185 + 4.15688i) q^{33} +(0.765179 + 3.35247i) q^{34} +(-4.32670 + 2.08363i) q^{35} +0.347606 q^{36} -7.64624 q^{37} +(3.21244 - 1.54703i) q^{38} +(1.60461 - 7.03027i) q^{39} +(-0.623490 + 0.781831i) q^{40} +(-5.28249 - 6.62404i) q^{41} -8.78646 q^{42} +(-2.24875 - 6.15980i) q^{43} -5.23633 q^{44} +(0.216729 + 0.271769i) q^{45} +(-4.16606 + 5.22408i) q^{46} +(-2.39222 + 10.4810i) q^{47} +(-1.64845 + 0.793854i) q^{48} +16.0618 q^{49} -1.00000 q^{50} +(-5.66851 + 2.72981i) q^{51} +(0.877007 + 3.84242i) q^{52} +(5.00188 + 2.40878i) q^{53} +(-1.07988 - 4.73127i) q^{54} +(-3.26480 - 4.09393i) q^{55} +(4.32670 - 2.08363i) q^{56} +(4.06745 + 5.10042i) q^{57} +(0.134062 - 0.587364i) q^{58} +(-7.64525 - 3.68176i) q^{59} +(-1.64845 - 0.793854i) q^{60} +(7.07406 - 8.87060i) q^{61} +(-0.802444 + 3.51574i) q^{62} +(-0.371454 - 1.62745i) q^{63} +(0.623490 - 0.781831i) q^{64} +(-2.45732 + 3.08138i) q^{65} +(-2.13189 - 9.34042i) q^{66} +(-1.06019 + 4.64501i) q^{67} +(2.14398 - 2.68847i) q^{68} +(-11.0147 - 5.30441i) q^{69} +(4.32670 + 2.08363i) q^{70} +(0.106787 - 0.467866i) q^{71} +(-0.216729 - 0.271769i) q^{72} +(-5.59212 + 2.69302i) q^{73} +(4.76735 + 5.97807i) q^{74} +(-0.407135 - 1.78377i) q^{75} +(-3.21244 - 1.54703i) q^{76} +(5.59557 + 24.5158i) q^{77} +(-6.49694 + 3.12876i) q^{78} +0.197355 q^{79} +1.00000 q^{80} +(8.93940 - 4.30499i) q^{81} +(-1.88530 + 8.26004i) q^{82} +(8.50599 - 10.6662i) q^{83} +(5.47827 + 6.86953i) q^{84} +3.43868 q^{85} +(-3.41386 + 5.59871i) q^{86} +1.10231 q^{87} +(3.26480 + 4.09393i) q^{88} +(-7.76734 + 9.73993i) q^{89} +(0.0773496 - 0.338891i) q^{90} +(17.0525 - 8.21206i) q^{91} +6.68185 q^{92} -6.59798 q^{93} +(9.68588 - 4.66448i) q^{94} +(-0.793407 - 3.47614i) q^{95} +(1.64845 + 0.793854i) q^{96} +(1.36054 + 5.96093i) q^{97} +(-10.0144 - 12.5576i) q^{98} +(1.63992 - 0.789746i) 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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