LMFDB - Embedded newform 430.2.p.a.59.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(59,430)]

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([7, 8]))

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

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

chi := DirichletCharacter("430.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.p (of order $14$, 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:	$132$
Relative dimension:	$22$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			59.9
Character	$\chi$	$=$	430.59
Dual form			430.2.p.a.379.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.974928 + 0.222521i) q^{2} +(1.83835 + 0.419592i) q^{3} +(0.900969 - 0.433884i) q^{4} +(1.44701 - 1.70474i) q^{5} -1.88563 q^{6} +0.473994i q^{7} +(-0.781831 + 0.623490i) q^{8} +(0.500573 + 0.241063i) q^{9} +O(q^{10})$	\(q+(-0.974928 + 0.222521i) q^{2} +(1.83835 + 0.419592i) q^{3} +(0.900969 - 0.433884i) q^{4} +(1.44701 - 1.70474i) q^{5} -1.88563 q^{6} +0.473994i q^{7} +(-0.781831 + 0.623490i) q^{8} +(0.500573 + 0.241063i) q^{9} +(-1.03139 + 1.98399i) q^{10} +(0.557882 + 0.268662i) q^{11} +(1.83835 - 0.419592i) q^{12} +(4.22925 - 3.37271i) q^{13} +(-0.105474 - 0.462110i) q^{14} +(3.37541 - 2.52677i) q^{15} +(0.623490 - 0.781831i) q^{16} +(4.38565 + 3.49744i) q^{17} +(-0.541664 - 0.123631i) q^{18} +(-7.04969 + 3.39495i) q^{19} +(0.564052 - 2.16376i) q^{20} +(-0.198884 + 0.871367i) q^{21} +(-0.603677 - 0.137785i) q^{22} +(2.89434 - 6.01017i) q^{23} +(-1.69889 + 0.818143i) q^{24} +(-0.812310 - 4.93357i) q^{25} +(-3.37271 + 4.22925i) q^{26} +(-3.60365 - 2.87381i) q^{27} +(0.205658 + 0.427054i) q^{28} +(0.714806 + 3.13177i) q^{29} +(-2.72853 + 3.21452i) q^{30} +(-0.383484 - 1.68015i) q^{31} +(-0.433884 + 0.900969i) q^{32} +(0.912855 + 0.727977i) q^{33} +(-5.05394 - 2.43385i) q^{34} +(0.808038 + 0.685875i) q^{35} +0.555594 q^{36} +8.81997i q^{37} +(6.11749 - 4.87854i) q^{38} +(9.19000 - 4.42567i) q^{39} +(-0.0684288 + 2.23502i) q^{40} +(-0.327912 - 1.43668i) q^{41} -0.893776i q^{42} +(-6.18062 - 2.19089i) q^{43} +0.619202 q^{44} +(1.13529 - 0.504528i) q^{45} +(-1.48439 + 6.50353i) q^{46} +(4.16254 + 8.64361i) q^{47} +(1.47424 - 1.17567i) q^{48} +6.77533 q^{49} +(1.88977 + 4.62912i) q^{50} +(6.59487 + 8.26970i) q^{51} +(2.34705 - 4.87371i) q^{52} +(3.86444 + 3.08179i) q^{53} +(4.15278 + 1.99987i) q^{54} +(1.26526 - 0.562289i) q^{55} +(-0.295530 - 0.370583i) q^{56} +(-14.3843 + 3.28312i) q^{57} +(-1.39377 - 2.89419i) q^{58} +(1.84595 - 2.31475i) q^{59} +(1.94482 - 3.74107i) q^{60} +(-0.257800 + 1.12949i) q^{61} +(0.747738 + 1.55269i) q^{62} +(-0.114262 + 0.237268i) q^{63} +(0.222521 - 0.974928i) q^{64} +(0.370159 - 12.0901i) q^{65} +(-1.05196 - 0.506596i) q^{66} +(-4.47423 - 9.29084i) q^{67} +(5.46881 + 1.24822i) q^{68} +(7.84264 - 9.83436i) q^{69} +(-0.940401 - 0.488873i) q^{70} +(-14.1341 + 6.80661i) q^{71} +(-0.541664 + 0.123631i) q^{72} +(-6.79574 + 5.41942i) q^{73} +(-1.96263 - 8.59883i) q^{74} +(0.576775 - 9.41048i) q^{75} +(-4.87854 + 6.11749i) q^{76} +(-0.127344 + 0.264432i) q^{77} +(-7.97478 + 6.35968i) q^{78} -7.48910 q^{79} +(-0.430626 - 2.19421i) q^{80} +(-6.45817 - 8.09829i) q^{81} +(0.639381 + 1.32769i) q^{82} +(11.8878 + 2.71331i) q^{83} +(0.198884 + 0.871367i) q^{84} +(12.3083 - 2.41557i) q^{85} +(6.51317 + 0.760641i) q^{86} +6.05722i q^{87} +(-0.603677 + 0.137785i) q^{88} +(-1.14929 + 5.03538i) q^{89} +(-0.994554 + 0.744503i) q^{90} +(1.59864 + 2.00464i) q^{91} -6.67078i q^{92} -3.24962i q^{93} +(-5.98156 - 7.50064i) q^{94} +(-4.41346 + 16.9305i) q^{95} +(-1.17567 + 1.47424i) q^{96} +(-5.51211 + 11.4460i) q^{97} +(-6.60546 + 1.50765i) q^{98} +(0.214496 + 0.268969i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q + 22 q^{4} - 4 q^{5} - 4 q^{6} + 12 q^{9}+O(q^{10}) $ 132 * q + 22 * q^4 - 4 * q^5 - 4 * q^6 + 12 * q^9	$ 132 q + 22 q^{4} - 4 q^{5} - 4 q^{6} + 12 q^{9} + 8 q^{11} - 10 q^{14} - 20 q^{15} - 22 q^{16} - 4 q^{19} + 4 q^{20} - 24 q^{21} + 4 q^{24} - 16 q^{25} + 12 q^{26} + 40 q^{29} + 24 q^{31} - 4 q^{35} + 128 q^{36} - 56 q^{39} - 28 q^{41} - 8 q^{44} - 80 q^{45} - 12 q^{46} - 136 q^{49} - 56 q^{50} + 172 q^{51} + 16 q^{54} - 4 q^{56} + 16 q^{59} - 8 q^{60} - 44 q^{61} + 22 q^{64} + 42 q^{65} + 8 q^{66} - 62 q^{69} + 12 q^{70} - 8 q^{71} - 4 q^{74} - 122 q^{75} - 52 q^{76} - 64 q^{79} - 4 q^{80} - 56 q^{81} + 24 q^{84} - 72 q^{85} - 10 q^{86} + 16 q^{89} + 2 q^{90} - 24 q^{91} - 20 q^{94} + 106 q^{95} - 4 q^{96} - 104 q^{99}+O(q^{100}) $ 132 * q + 22 * q^4 - 4 * q^5 - 4 * q^6 + 12 * q^9 + 8 * q^11 - 10 * q^14 - 20 * q^15 - 22 * q^16 - 4 * q^19 + 4 * q^20 - 24 * q^21 + 4 * q^24 - 16 * q^25 + 12 * q^26 + 40 * q^29 + 24 * q^31 - 4 * q^35 + 128 * q^36 - 56 * q^39 - 28 * q^41 - 8 * q^44 - 80 * q^45 - 12 * q^46 - 136 * q^49 - 56 * q^50 + 172 * q^51 + 16 * q^54 - 4 * q^56 + 16 * q^59 - 8 * q^60 - 44 * q^61 + 22 * q^64 + 42 * q^65 + 8 * q^66 - 62 * q^69 + 12 * q^70 - 8 * q^71 - 4 * q^74 - 122 * q^75 - 52 * q^76 - 64 * q^79 - 4 * q^80 - 56 * q^81 + 24 * q^84 - 72 * q^85 - 10 * q^86 + 16 * q^89 + 2 * q^90 - 24 * q^91 - 20 * q^94 + 106 * q^95 - 4 * q^96 - 104 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$87$	$261$
$\chi(n)$	$-1$	$e\left(\frac{4}{7}\right)$

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 $

$2$	−0.974928	+	0.222521i	−0.689378	+	0.157346i
$2$	−0.974928	+	0.222521i	−0.689378	+	0.157346i
$3$	1.83835	+	0.419592i	1.06137	+	0.242251i	0.717352	−	0.696711i	$-0.245354\pi$
$3$	1.83835	+	0.419592i	1.06137	+	0.242251i	0.344021	+	0.938962i	$0.388211\pi$
$4$	0.900969	−	0.433884i	0.450484	−	0.216942i
$5$	1.44701	−	1.70474i	0.647124	−	0.762385i
$5$	1.44701	−	1.70474i	0.647124	−	0.762385i
$6$	−1.88563			−0.769805
$7$			0.473994i			0.179153i	0.995980	+	0.0895764i	$0.0285513\pi$
$7$			0.473994i			0.179153i	−0.995980	+	0.0895764i	$0.971449\pi$
$8$	−0.781831	+	0.623490i	−0.276419	+	0.220437i
$9$	0.500573	+	0.241063i	0.166858	+	0.0803544i
$10$	−1.03139	+	1.98399i	−0.326155	+	0.627394i
$11$	0.557882	+	0.268662i	0.168208	+	0.0810046i	0.516093	−	0.856533i	$-0.327386\pi$
$11$	0.557882	+	0.268662i	0.168208	+	0.0810046i	−0.347885	+	0.937537i	$0.613100\pi$
$12$	1.83835	−	0.419592i	0.530686	−	0.121126i
$13$	4.22925	−	3.37271i	1.17298	−	0.935422i	0.174197	−	0.984711i	$-0.444267\pi$
$13$	4.22925	−	3.37271i	1.17298	−	0.935422i	0.998785	+	0.0492892i	$0.0156956\pi$
$14$	−0.105474	−	0.462110i	−0.0281890	−	0.123504i
$15$	3.37541	−	2.52677i	0.871528	−	0.652408i
$16$	0.623490	−	0.781831i	0.155872	−	0.195458i
$17$	4.38565	+	3.49744i	1.06368	+	0.848253i	0.988846	−	0.148943i	$-0.0475872\pi$
$17$	4.38565	+	3.49744i	1.06368	+	0.848253i	0.0748299	+	0.997196i	$0.476159\pi$
$18$	−0.541664	−	0.123631i	−0.127671	−	0.0291402i
$19$	−7.04969	+	3.39495i	−1.61731	+	0.778856i	−0.999969	−	0.00784001i	$-0.997504\pi$
$19$	−7.04969	+	3.39495i	−1.61731	+	0.778856i	−0.617341	+	0.786696i	$0.711790\pi$
$20$	0.564052	−	2.16376i	0.126126	−	0.483831i
$21$	−0.198884	+	0.871367i	−0.0434000	+	0.190148i
$22$	−0.603677	−	0.137785i	−0.128704	−	0.0293759i
$23$	2.89434	−	6.01017i	0.603513	−	1.25321i	−0.345633	−	0.938370i	$-0.612336\pi$
$23$	2.89434	−	6.01017i	0.603513	−	1.25321i	0.949146	−	0.314837i	$-0.101950\pi$
$24$	−1.69889	+	0.818143i	−0.346785	+	0.167003i
$25$	−0.812310	−	4.93357i	−0.162462	−	0.986715i
$26$	−3.37271	+	4.22925i	−0.661443	+	0.829423i
$27$	−3.60365	−	2.87381i	−0.693523	−	0.553066i
$28$	0.205658	+	0.427054i	0.0388657	+	0.0807055i
$29$	0.714806	+	3.13177i	0.132736	+	0.581555i	0.996923	+	0.0783844i	$0.0249762\pi$
$29$	0.714806	+	3.13177i	0.132736	+	0.581555i	−0.864187	+	0.503171i	$0.832167\pi$
$30$	−2.72853	+	3.21452i	−0.498159	+	0.586887i
$31$	−0.383484	−	1.68015i	−0.0688757	−	0.301764i	0.928744	−	0.370722i	$-0.120890\pi$
$31$	−0.383484	−	1.68015i	−0.0688757	−	0.301764i	−0.997620	+	0.0689579i	$0.978033\pi$
$32$	−0.433884	+	0.900969i	−0.0767005	+	0.159270i
$33$	0.912855	+	0.727977i	0.158908	+	0.126725i
$34$	−5.05394	−	2.43385i	−0.866744	−	0.417402i
$35$	0.808038	+	0.685875i	0.136583	+	0.115934i
$36$	0.555594			0.0925990
$37$			8.81997i			1.44999i	0.688752	+	0.724997i	$0.258159\pi$
$37$			8.81997i			1.44999i	−0.688752	+	0.724997i	$0.741841\pi$
$38$	6.11749	−	4.87854i	0.992389	−	0.791403i
$39$	9.19000	−	4.42567i	1.47158	−	0.708675i
$40$	−0.0684288	+	2.23502i	−0.0108195	+	0.353388i
$41$	−0.327912	−	1.43668i	−0.0512112	−	0.224371i	0.942846	−	0.333228i	$-0.108138\pi$
$41$	−0.327912	−	1.43668i	−0.0512112	−	0.224371i	−0.994057	+	0.108857i	$0.965281\pi$
$42$		−	0.893776i		−	0.137913i
$43$	−6.18062	−	2.19089i	−0.942535	−	0.334107i
$43$	−6.18062	−	2.19089i	−0.942535	−	0.334107i
$44$	0.619202			0.0933482
$45$	1.13529	−	0.504528i	0.169238	−	0.0752105i
$46$	−1.48439	+	6.50353i	−0.218861	+	0.958894i
$47$	4.16254	+	8.64361i	0.607169	+	1.26080i	0.947278	+	0.320414i	$0.103822\pi$
$47$	4.16254	+	8.64361i	0.607169	+	1.26080i	−0.340109	+	0.940386i	$0.610464\pi$
$48$	1.47424	−	1.17567i	0.212789	−	0.169693i
$49$	6.77533			0.967904
$50$	1.88977	+	4.62912i	0.267253	+	0.654657i
$51$	6.59487	+	8.26970i	0.923466	+	1.15799i
$52$	2.34705	−	4.87371i	0.325478	−	0.675862i
$53$	3.86444	+	3.08179i	0.530821	+	0.423316i	0.851875	−	0.523745i	$-0.175466\pi$
$53$	3.86444	+	3.08179i	0.530821	+	0.423316i	−0.321054	+	0.947061i	$0.604037\pi$
$54$	4.15278	+	1.99987i	0.565122	+	0.272148i
$55$	1.26526	−	0.562289i	0.170608	−	0.0758191i
$56$	−0.295530	−	0.370583i	−0.0394919	−	0.0495213i
$57$	−14.3843	+	3.28312i	−1.90525	+	0.434860i
$58$	−1.39377	−	2.89419i	−0.183011	−	0.380026i
$59$	1.84595	−	2.31475i	0.240322	−	0.301354i	−0.647014	−	0.762478i	$-0.723982\pi$
$59$	1.84595	−	2.31475i	0.240322	−	0.301354i	0.887336	+	0.461124i	$0.152554\pi$
$60$	1.94482	−	3.74107i	0.251075	−	0.482971i
$61$	−0.257800	+	1.12949i	−0.0330079	+	0.144617i	−0.988747	−	0.149600i	$-0.952202\pi$
$61$	−0.257800	+	1.12949i	−0.0330079	+	0.144617i	0.955739	+	0.294217i	$0.0950587\pi$
$62$	0.747738	+	1.55269i	0.0949628	+	0.197192i
$63$	−0.114262	+	0.237268i	−0.0143957	+	0.0298930i
$64$	0.222521	−	0.974928i	0.0278151	−	0.121866i
$65$	0.370159	−	12.0901i	0.0459126	−	1.49960i
$66$	−1.05196	−	0.506596i	−0.129487	−	0.0623577i
$67$	−4.47423	−	9.29084i	−0.546614	−	1.13506i	−0.973062	−	0.230544i	$-0.925949\pi$
$67$	−4.47423	−	9.29084i	−0.546614	−	1.13506i	0.426447	−	0.904512i	$-0.359765\pi$
$68$	5.46881	+	1.24822i	0.663191	+	0.151369i
$69$	7.84264	−	9.83436i	0.944143	−	1.18392i
$70$	−0.940401	−	0.488873i	−0.112399	−	0.0584315i
$71$	−14.1341	+	6.80661i	−1.67740	+	0.807796i	−0.680204	+	0.733023i	$0.738109\pi$
$71$	−14.1341	+	6.80661i	−1.67740	+	0.807796i	−0.997201	+	0.0747727i	$0.976177\pi$
$72$	−0.541664	+	0.123631i	−0.0638357	+	0.0145701i
$73$	−6.79574	+	5.41942i	−0.795382	+	0.634296i	−0.934493	−	0.355981i	$-0.884147\pi$
$73$	−6.79574	+	5.41942i	−0.795382	+	0.634296i	0.139112	+	0.990277i	$0.455575\pi$
$74$	−1.96263	−	8.59883i	−0.228151	−	0.999594i
$75$	0.576775	−	9.41048i	0.0666003	−	1.08663i
$76$	−4.87854	+	6.11749i	−0.559607	+	0.701725i
$77$	−0.127344	+	0.264432i	−0.0145122	+	0.0301349i
$78$	−7.97478	+	6.35968i	−0.902967	+	0.720092i
$79$	−7.48910			−0.842590			−0.421295	−	0.906924i	$-0.638424\pi$
$79$	−7.48910			−0.842590			−0.421295	+	0.906924i	$0.638424\pi$
$80$	−0.430626	−	2.19421i	−0.0481454	−	0.245320i
$81$	−6.45817	−	8.09829i	−0.717574	−	0.899810i
$82$	0.639381	+	1.32769i	0.0706078	+	0.146619i
$83$	11.8878	+	2.71331i	1.30485	+	0.297824i	0.817777	−	0.575535i	$-0.195206\pi$
$83$	11.8878	+	2.71331i	1.30485	+	0.297824i	0.487077	+	0.873359i	$0.338063\pi$
$84$	0.198884	+	0.871367i	0.0217000	+	0.0950740i
$85$	12.3083	−	2.41557i	1.33503	−	0.262006i
$86$	6.51317	+	0.760641i	0.702334	+	0.0820221i
$87$			6.05722i			0.649402i
$88$	−0.603677	+	0.137785i	−0.0643522	+	0.0146880i
$89$	−1.14929	+	5.03538i	−0.121825	+	0.533749i	0.876778	+	0.480896i	$0.159689\pi$
$89$	−1.14929	+	5.03538i	−0.121825	+	0.533749i	−0.998602	+	0.0528530i	$0.983169\pi$
$90$	−0.994554	+	0.744503i	−0.104835	+	0.0784775i
$91$	1.59864	+	2.00464i	0.167583	+	0.210143i
$92$		−	6.67078i		−	0.695477i
$93$		−	3.24962i		−	0.336969i
$94$	−5.98156	−	7.50064i	−0.616951	−	0.773632i
$95$	−4.41346	+	16.9305i	−0.452812	+	1.73703i
$96$	−1.17567	+	1.47424i	−0.119991	+	0.150464i
$97$	−5.51211	+	11.4460i	−0.559670	+	1.16217i	0.408705	+	0.912666i	$0.365980\pi$
$97$	−5.51211	+	11.4460i	−0.559670	+	1.16217i	−0.968375	+	0.249500i	$0.919734\pi$
$98$	−6.60546	+	1.50765i	−0.667252	+	0.152296i
$99$	0.214496	+	0.268969i	0.0215577	+	0.0270325i
$100$	−2.87246	−	4.09255i	−0.287246	−	0.409255i
$101$	−6.30357	+	3.03564i	−0.627229	+	0.302057i	−0.720364	−	0.693596i	$-0.756025\pi$
$101$	−6.30357	+	3.03564i	−0.627229	+	0.302057i	0.0931355	+	0.995653i	$0.470311\pi$
$102$	−8.26970	−	6.59487i	−0.818822	−	0.652989i
$103$	−12.5553	−	10.0125i	−1.23711	−	0.986565i	−0.999886	−	0.0151105i	$-0.995190\pi$
$103$	−12.5553	−	10.0125i	−1.23711	−	0.986565i	−0.237227	−	0.971454i	$-0.576239\pi$
$104$	−1.20371	+	5.27378i	−0.118033	+	0.517137i
$105$	1.19767	+	1.59993i	0.116881	+	0.156137i
$106$	−4.45331	−	2.14460i	−0.432544	−	0.208302i
$107$	−5.19649	−	1.18607i	−0.502364	−	0.114661i	−0.0361731	−	0.999346i	$-0.511517\pi$
$107$	−5.19649	−	1.18607i	−0.502364	−	0.114661i	−0.466191	+	0.884684i	$0.654374\pi$
$108$	−4.49368	−	1.02565i	−0.432404	−	0.0986935i
$109$	2.64092	+	1.27180i	0.252954	+	0.121816i	0.556065	−	0.831139i	$-0.312311\pi$
$109$	2.64092	+	1.27180i	0.252954	+	0.121816i	−0.303110	+	0.952956i	$0.598025\pi$
$110$	−1.10842	+	0.829739i	−0.105683	+	0.0791125i
$111$	−3.70079	+	16.2142i	−0.351263	+	1.53898i
$112$	0.370583	+	0.295530i	0.0350168	+	0.0279250i
$113$	−3.01120	−	2.40135i	−0.283270	−	0.225900i	0.471539	−	0.881845i	$-0.343699\pi$
$113$	−3.01120	−	2.40135i	−0.283270	−	0.225900i	−0.754808	+	0.655945i	$0.772270\pi$
$114$	13.2931	−	6.40162i	1.24501	−	0.599567i
$115$	−6.05765	−	13.6309i	−0.564879	−	1.27109i
$116$	2.00284	+	2.51148i	0.185959	+	0.233185i
$117$	2.93008	−	0.668772i	0.270886	−	0.0618280i
$118$	−1.28459	+	2.66747i	−0.118256	+	0.245561i
$119$	−1.65776	+	2.07877i	−0.151967	+	0.190560i
$120$	−1.06359	+	4.08004i	−0.0970923	+	0.372455i
$121$	−6.61933	−	8.30038i	−0.601758	−	0.754580i
$122$		−	1.15854i		−	0.104889i
$123$		−	2.77870i		−	0.250547i
$124$	−1.07450	−	1.34738i	−0.0964927	−	0.120998i
$125$	−9.58591	−	5.75416i	−0.857390	−	0.514668i
$126$	0.0586005	−	0.256745i	0.00522054	−	0.0228727i
$127$	−4.18848	+	0.955992i	−0.371667	+	0.0848306i	−0.404275	−	0.914638i	$-0.632476\pi$
$127$	−4.18848	+	0.955992i	−0.371667	+	0.0848306i	0.0326075	+	0.999468i	$0.489619\pi$
$128$			1.00000i			0.0883883i
$129$	−10.4429	−	6.62096i	−0.919443	−	0.582943i
$130$	2.32943	+	11.8694i	0.204305	+	1.04101i
$131$	1.00510	+	4.40362i	0.0878159	+	0.384746i	0.999668	−	0.0257727i	$-0.00820462\pi$
$131$	1.00510	+	4.40362i	0.0878159	+	0.384746i	−0.911852	+	0.410519i	$0.865347\pi$
$132$	1.13831	+	0.259812i	0.0990773	+	0.0226137i
$133$	−1.60919	−	3.34151i	−0.139534	−	0.289746i
$134$	6.42946	+	8.06229i	0.555421	+	0.696476i
$135$	−10.1136	+	1.98486i	−0.870444	+	0.170829i
$136$	−5.60945			−0.481007
$137$	11.6960	−	9.32724i	0.999256	−	0.796880i	0.0200601	−	0.999799i	$-0.493614\pi$
$137$	11.6960	−	9.32724i	0.999256	−	0.796880i	0.979196	+	0.202919i	$0.0650428\pi$
$138$	−5.45766	+	11.3329i	−0.464587	+	0.964724i
$139$	−7.79921	+	9.77990i	−0.661521	+	0.829521i	−0.993508	−	0.113763i	$-0.963709\pi$
$139$	−7.79921	+	9.77990i	−0.661521	+	0.829521i	0.331987	+	0.943284i	$0.392281\pi$
$140$	1.02561	+	0.267357i	0.0866796	+	0.0225958i
$141$	4.02543	+	17.6366i	0.339002	+	1.48527i
$142$	12.2651	−	9.78107i	1.02926	−	0.820810i
$143$	3.26554	−	0.745338i	0.273078	−	0.0623283i
$144$	0.500573	−	0.241063i	0.0417144	−	0.0200886i
$145$	6.37320	+	3.31315i	0.529266	+	0.275142i
$146$	5.41942	−	6.79574i	0.448515	−	0.562420i
$147$	12.4554	+	2.84287i	1.02731	+	0.234476i
$148$	3.82684	+	7.94651i	0.314564	+	0.653200i
$149$	−4.57828	−	2.20478i	−0.375068	−	0.180623i	0.236847	−	0.971547i	$-0.423886\pi$
$149$	−4.57828	−	2.20478i	−0.375068	−	0.180623i	−0.611914	+	0.790924i	$0.709600\pi$
$150$	1.53171	+	9.30289i	0.125064	+	0.759578i
$151$	−0.933584	+	4.09030i	−0.0759740	+	0.332864i	−0.998604	−	0.0528226i	$-0.983178\pi$
$151$	−0.933584	+	4.09030i	−0.0759740	+	0.332864i	0.922630	+	0.385686i	$0.126035\pi$
$152$	3.39495	−	7.04969i	0.275367	−	0.571806i
$153$	1.35223	+	2.80794i	0.109322	+	0.227008i
$154$	0.0653094	−	0.286139i	0.00526278	−	0.0230578i
$155$	−3.41914	−	1.77746i	−0.274632	−	0.142769i
$156$	6.35968	−	7.97478i	0.509182	−	0.638494i
$157$	−10.5990	−	22.0091i	−0.845895	−	1.75652i	−0.623957	−	0.781459i	$-0.714476\pi$
$157$	−10.5990	−	22.0091i	−0.845895	−	1.75652i	−0.221938	−	0.975061i	$-0.571238\pi$
$158$	7.30134	−	1.66648i	0.580863	−	0.132578i
$159$	5.81110	+	7.28689i	0.460850	+	0.577888i
$160$	0.908087	+	2.04337i	0.0717906	+	0.161543i
$161$	2.84878	+	1.37190i	0.224516	+	0.108121i
$162$	8.09829	+	6.45817i	0.636261	+	0.507402i
$163$	0.109614	−	0.227615i	0.00858561	−	0.0178282i	−0.896632	−	0.442777i	$-0.853993\pi$
$163$	0.109614	−	0.227615i	0.00858561	−	0.0178282i	0.905218	+	0.424948i	$0.139708\pi$
$164$	−0.918788	−	1.15212i	−0.0717453	−	0.0899658i
$165$	2.56193	−	0.502792i	0.199446	−	0.0391423i
$166$	−12.1935			−0.946399
$167$	3.05089	−	2.43300i	0.236085	−	0.188271i	−0.498300	−	0.867005i	$-0.666042\pi$
$167$	3.05089	−	2.43300i	0.236085	−	0.188271i	0.734385	+	0.678733i	$0.237471\pi$
$168$	−0.387795	−	0.805264i	−0.0299190	−	0.0621275i
$169$	3.61857	−	15.8540i	0.278351	−	1.21954i
$170$	−11.4622	+	5.09387i	−0.879112	+	0.390682i
$171$	−4.34728			−0.332445
$172$	−6.51913	+	0.707747i	−0.497079	+	0.0539652i
$173$			16.1166i			1.22532i	0.790345	+	0.612662i	$0.209901\pi$
$173$			16.1166i			1.22532i	−0.790345	+	0.612662i	$0.790099\pi$
$174$	−1.34786	−	5.90535i	−0.102181	−	0.447684i
$175$	2.33848	−	0.385030i	0.176773	−	0.0291055i
$176$	0.557882	−	0.268662i	0.0420519	−	0.0202511i
$177$	4.36475	−	3.48077i	0.328075	−	0.261631i
$178$		−	5.16487i		−	0.387124i
$179$	18.8664			1.41014			0.705071	−	0.709137i	$-0.250915\pi$
$179$	18.8664			1.41014			0.705071	+	0.709137i	$0.250915\pi$
$180$	0.803951	−	0.947146i	0.0599230	−	0.0705961i
$181$	−9.98978	−	4.81082i	−0.742534	−	0.357586i	0.0240660	−	0.999710i	$-0.492339\pi$
$181$	−9.98978	−	4.81082i	−0.742534	−	0.357586i	−0.766600	+	0.642125i	$0.778053\pi$
$182$	−2.00464	−	1.59864i	−0.148593	−	0.118499i
$183$	−0.947853	+	1.96824i	−0.0700673	+	0.145496i
$184$	1.48439	+	6.50353i	0.109431	+	0.479447i
$185$	15.0358	+	12.7626i	1.10545	+	0.938325i
$186$	0.723108	+	3.16814i	0.0530208	+	0.232299i
$187$	1.50705	+	3.12941i	0.110206	+	0.228845i
$188$	7.50064	+	5.98156i	0.547041	+	0.436250i
$189$	1.36217	−	1.70811i	0.0990833	−	0.124247i
$190$	0.535426	−	17.4881i	0.0388439	−	1.26872i
$191$	−1.13752	+	0.547799i	−0.0823078	+	0.0396373i	−0.474585	−	0.880210i	$-0.657402\pi$
$191$	−1.13752	+	0.547799i	−0.0823078	+	0.0396373i	0.392277	+	0.919847i	$0.371687\pi$
$192$	0.818143	−	1.69889i	0.0590444	−	0.122607i
$193$	17.8306	+	4.06972i	1.28347	+	0.292945i	0.809253	−	0.587460i	$-0.199872\pi$
$193$	17.8306	+	4.06972i	1.28347	+	0.292945i	0.474222	+	0.880405i	$0.342729\pi$
$194$	2.82693	−	12.3856i	0.202962	−	0.889234i
$195$	5.75341	−	22.0706i	0.412010	−	1.58051i
$196$	6.10436	−	2.93971i	0.436026	−	0.209979i
$197$	24.6262	+	5.62077i	1.75455	+	0.400464i	0.974344	−	0.225065i	$-0.0722593\pi$
$197$	24.6262	+	5.62077i	1.75455	+	0.400464i	0.780202	+	0.625528i	$0.215116\pi$
$198$	−0.268969	−	0.214496i	−0.0191148	−	0.0152436i
$199$	−1.06268	+	1.33256i	−0.0753313	+	0.0944625i	−0.818069	−	0.575120i	$-0.804955\pi$
$199$	−1.06268	+	1.33256i	−0.0753313	+	0.0944625i	0.742738	+	0.669582i	$0.233527\pi$
$200$	3.71112	+	3.35076i	0.262416	+	0.236934i
$201$	−4.32685	−	18.9572i	−0.305193	−	1.33714i
$202$	5.47003	−	4.36221i	0.384870	−	0.306924i
$203$	−1.48444	+	0.338814i	−0.104187	+	0.0237801i
$204$	9.52986	+	4.58934i	0.667223	+	0.321318i
$205$	−2.92366	−	1.51988i	−0.204197	−	0.106153i
$206$	14.4685	+	6.96768i	1.00807	+	0.485461i
$207$	2.89766	−	2.31081i	0.201401	−	0.160612i
$208$		−	5.40941i		−	0.375075i
$209$	−4.84499			−0.335135
$210$	−1.52366	−	1.29330i	−0.105143	−	0.0892465i
$211$	−5.62106	+	2.70696i	−0.386970	+	0.186355i	−0.617245	−	0.786771i	$-0.711751\pi$
$211$	−5.62106	+	2.70696i	−0.386970	+	0.186355i	0.230276	+	0.973125i	$0.426037\pi$
$212$	4.81887	+	1.09988i	0.330962	+	0.0755398i
$213$	−28.8394	+	6.58240i	−1.97604	+	0.451019i
$214$	5.33013			0.364360
$215$	−12.6783	+	7.36613i	−0.864655	+	0.502366i
$216$	4.60924			0.313619
$217$	0.796381	−	0.181769i	0.0540619	−	0.0123393i
$218$	−2.85771	−	0.652254i	−0.193549	−	0.0441762i
$219$	−14.7669	+	7.11137i	−0.997855	+	0.480542i
$220$	0.895993	−	1.05558i	0.0604078	−	0.0711673i
$221$	30.3438			2.04115
$222$		−	16.6312i		−	1.11621i
$223$	5.82252	−	4.64331i	0.389905	−	0.310939i	−0.408843	−	0.912605i	$-0.634068\pi$
$223$	5.82252	−	4.64331i	0.389905	−	0.310939i	0.798748	+	0.601666i	$0.205496\pi$
$224$	−0.427054	−	0.205658i	−0.0285337	−	0.0137411i
$225$	0.782683	−	2.66543i	0.0521788	−	0.177695i
$226$	3.47005	+	1.67109i	0.230825	+	0.111159i
$227$	−3.29207	+	0.751393i	−0.218502	+	0.0498717i	−0.330370	−	0.943851i	$-0.607174\pi$
$227$	−3.29207	+	0.751393i	−0.218502	+	0.0498717i	0.111868	+	0.993723i	$0.464317\pi$
$228$	−11.5353	+	9.19911i	−0.763945	+	0.609226i
$229$	0.571143	+	2.50234i	0.0377422	+	0.165359i	0.990287	−	0.139040i	$-0.0444015\pi$
$229$	0.571143	+	2.50234i	0.0377422	+	0.165359i	−0.952545	+	0.304399i	$0.901544\pi$
$230$	8.93894	+	11.9412i	0.589416	+	0.787379i
$231$	−0.345057	+	0.432687i	−0.0227031	+	0.0284687i
$232$	−2.51148	−	2.00284i	−0.164887	−	0.131493i
$233$	3.52340	+	0.804193i	0.230825	+	0.0526844i	0.336369	−	0.941730i	$-0.390801\pi$
$233$	3.52340	+	0.804193i	0.230825	+	0.0526844i	−0.105543	+	0.994415i	$0.533658\pi$
$234$	−2.70780	+	1.30401i	−0.177015	+	0.0852457i
$235$	20.7584	+	5.41134i	1.35413	+	0.352997i
$236$	0.658811	−	2.88644i	0.0428850	−	0.187891i
$237$	−13.7676	−	3.14237i	−0.894302	−	0.204119i
$238$	1.15363	−	2.39554i	0.0747787	−	0.155280i
$239$	−13.6906	+	6.59305i	−0.885572	+	0.426469i	−0.820656	−	0.571422i	$-0.806392\pi$
$239$	−13.6906	+	6.59305i	−0.885572	+	0.426469i	−0.0649153	+	0.997891i	$0.520678\pi$
$240$	0.129031	−	4.21442i	0.00832894	−	0.272040i
$241$	11.1731	−	14.0106i	0.719722	−	0.902503i	−0.278600	−	0.960407i	$-0.589870\pi$
$241$	11.1731	−	14.0106i	0.719722	−	0.902503i	0.998322	+	0.0579045i	$0.0184419\pi$
$242$	8.30038	+	6.61933i	0.533569	+	0.425507i
$243$	−2.47478	−	5.13894i	−0.158758	−	0.329663i
$244$	0.257800	+	1.12949i	0.0165039	+	0.0723085i
$245$	9.80399	−	11.5502i	0.626354	−	0.737916i
$246$	0.618320	+	2.70904i	0.0394226	+	0.172722i
$247$	−18.3647	+	38.1347i	−1.16852	+	2.42645i
$248$	1.34738	+	1.07450i	0.0855585	+	0.0682306i
$249$	20.7154	+	9.97603i	1.31279	+	0.632205i
$250$	10.6260	+	3.47683i	0.672047	+	0.219894i
$251$	1.68422			0.106307			0.0531534	−	0.998586i	$-0.483073\pi$
$251$	1.68422			0.106307			0.0531534	+	0.998586i	$0.483073\pi$
$252$			0.263348i			0.0165894i
$253$	3.22940	−	2.57536i	0.203031	−	0.161912i
$254$	3.87073	−	1.86405i	0.242871	−	0.116961i
$255$	23.6406	+	0.723795i	1.48043	+	0.0453258i
$256$	−0.222521	−	0.974928i	−0.0139076	−	0.0609330i
$257$		−	23.1077i		−	1.44142i	−0.693239	−	0.720708i	$-0.743817\pi$
$257$		−	23.1077i		−	1.44142i	0.693239	−	0.720708i	$-0.256183\pi$
$258$	11.6543	+	4.13120i	0.725568	+	0.257197i
$259$	−4.18061			−0.259770
$260$	−4.91221	−	11.0534i	−0.304642	−	0.685506i
$261$	−0.397142	+	1.73999i	−0.0245825	+	0.107703i
$262$	−1.95980	−	4.06956i	−0.121077	−	0.251418i
$263$	6.97473	−	5.56216i	0.430080	−	0.342978i	−0.384402	−	0.923166i	$-0.625592\pi$
$263$	6.97473	−	5.56216i	0.430080	−	0.342978i	0.814482	+	0.580188i	$0.197021\pi$
$264$	−1.16758			−0.0718599
$265$	10.8455	−	2.12850i	0.666237	−	0.130753i
$266$	2.31240	+	2.89965i	0.141782	+	0.177789i
$267$	−4.22561	+	8.77456i	−0.258603	+	0.536995i
$268$	−8.06229	−	6.42946i	−0.492483	−	0.392742i
$269$	−10.5513	−	5.08125i	−0.643326	−	0.309810i	0.0836265	−	0.996497i	$-0.473350\pi$
$269$	−10.5513	−	5.08125i	−0.643326	−	0.309810i	−0.726953	+	0.686688i	$0.759064\pi$
$270$	9.41840	−	4.18559i	0.573186	−	0.254727i
$271$	8.86633	+	11.1180i	0.538591	+	0.675372i	0.974440	−	0.224648i	$-0.0721232\pi$
$271$	8.86633	+	11.1180i	0.538591	+	0.675372i	−0.435849	+	0.900020i	$0.643552\pi$
$272$	5.46881	−	1.24822i	0.331595	−	0.0756845i
$273$	2.09774	+	4.35600i	0.126961	+	0.263637i
$274$	−9.32724	+	11.6960i	−0.563479	+	0.706580i
$275$	0.872289	−	2.97059i	0.0526010	−	0.179133i
$276$	2.79901	−	12.2632i	0.168480	−	0.738161i
$277$	8.04937	+	16.7147i	0.483640	+	1.00429i	0.989882	+	0.141896i	$0.0453200\pi$
$277$	8.04937	+	16.7147i	0.483640	+	1.00429i	−0.506242	+	0.862391i	$0.668966\pi$
$278$	5.42744	−	11.2702i	0.325516	−	0.675941i
$279$	0.213061	−	0.933482i	0.0127556	−	0.0558861i
$280$	−1.05939	−	0.0324348i	−0.0633104	−	0.00193835i
$281$	−17.1365	−	8.25249i	−1.02228	−	0.492302i	−0.153836	−	0.988096i	$-0.549163\pi$
$281$	−17.1365	−	8.25249i	−1.02228	−	0.492302i	−0.868440	+	0.495794i	$0.834877\pi$
$282$	−7.84901	−	16.2986i	−0.467402	−	0.970569i
$283$	13.9582	+	3.18586i	0.829727	+	0.189380i	0.616232	−	0.787564i	$-0.288658\pi$
$283$	13.9582	+	3.18586i	0.829727	+	0.189380i	0.213495	+	0.976944i	$0.431515\pi$
$284$	−9.78107	+	12.2651i	−0.580400	+	0.727799i
$285$	−15.2174	+	29.2723i	−0.901400	+	1.73394i
$286$	−3.01781	+	1.45330i	−0.178447	+	0.0859355i
$287$	0.680975	−	0.155428i	0.0401967	−	0.00917463i
$288$	−0.434381	+	0.346407i	−0.0255961	+	0.0204122i
$289$	3.21898	+	14.1033i	0.189352	+	0.829604i
$290$	−6.95066	−	1.81191i	−0.408157	−	0.106399i
$291$	−14.9358	+	18.7290i	−0.875554	+	1.09791i
$292$	−3.77135	+	7.83129i	−0.220702	+	0.458292i
$293$	8.18857	−	6.53017i	0.478382	−	0.381497i	−0.354404	−	0.935092i	$-0.615316\pi$
$293$	8.18857	−	6.53017i	0.478382	−	0.381497i	0.832785	+	0.553596i	$0.186745\pi$
$294$	−12.7758			−0.745097
$295$	−1.27494	−	6.49634i	−0.0742299	−	0.378231i
$296$	−5.49916	−	6.89573i	−0.319632	−	0.400806i
$297$	−1.23833	−	2.57141i	−0.0718550	−	0.149208i
$298$	4.95411	+	1.13074i	0.286984	+	0.0655022i
$299$	−8.02967	−	35.1803i	−0.464368	−	2.03453i
$300$	−3.56340	−	8.72881i	−0.205733	−	0.503958i
$301$	1.03847	−	2.92957i	0.0598563	−	0.168858i
$302$		−	4.19549i		−	0.241423i
$303$	−12.8619	+	2.93565i	−0.738897	+	0.168648i
$304$	−1.74113	+	7.62839i	−0.0998607	+	0.437518i
$305$	1.55246	+	2.07387i	0.0888936	+	0.118750i
$306$	−1.94315	−	2.43664i	−0.111083	−	0.139293i
$307$			10.6781i			0.609429i	0.952444	+	0.304715i	$0.0985611\pi$
$307$			10.6781i			0.609429i	−0.952444	+	0.304715i	$0.901439\pi$
$308$			0.293498i			0.0167236i
$309$	−18.8799	−	23.6747i	−1.07404	−	1.34681i
$310$	3.72893	+	0.972065i	0.211789	+	0.0552096i
$311$	−7.13495	+	8.94695i	−0.404586	+	0.507335i	−0.941829	−	0.336093i	$-0.890894\pi$
$311$	−7.13495	+	8.94695i	−0.404586	+	0.507335i	0.537243	+	0.843428i	$0.319466\pi$
$312$	−4.42567	+	9.19000i	−0.250554	+	0.520281i
$313$	7.29710	−	1.66551i	0.412456	−	0.0941405i	−0.0112574	−	0.999937i	$-0.503583\pi$
$313$	7.29710	−	1.66551i	0.412456	−	0.0941405i	0.423714	+	0.905796i	$0.360726\pi$
$314$	15.2308	+	19.0988i	0.859523	+	1.07781i
$315$	0.239143	+	0.538119i	0.0134742	+	0.0303195i
$316$	−6.74745	+	3.24940i	−0.379574	+	0.182793i
$317$	−1.12294	−	0.895512i	−0.0630704	−	0.0502970i	0.591447	−	0.806344i	$-0.298557\pi$
$317$	−1.12294	−	0.895512i	−0.0630704	−	0.0502970i	−0.654518	+	0.756047i	$0.727128\pi$
$318$	−7.28689	−	5.81110i	−0.408629	−	0.325870i
$319$	−0.442609	+	1.93920i	−0.0247814	+	0.108574i
$320$	−1.34001	−	1.79007i	−0.0749090	−	0.100068i
$321$	−9.05532	−	4.36081i	−0.505418	−	0.243397i
$322$	−3.08263	−	0.703591i	−0.171788	−	0.0392096i
$323$	−42.7911	−	9.76679i	−2.38096	−	0.543439i
$324$	−9.33232	−	4.49421i	−0.518462	−	0.249678i
$325$	−20.0750	−	18.1256i	−1.11356	−	1.00543i
$326$	−0.0562163	+	0.246300i	−0.00311353	+	0.0136413i
$327$	4.32131	+	3.44613i	0.238969	+	0.190571i
$328$	1.15212	+	0.918788i	0.0636154	+	0.0507316i
$329$	−4.09702	+	1.97302i	−0.225876	+	0.108776i
$330$	−2.38581	+	1.06027i	−0.131335	+	0.0583659i
$331$	12.5181	+	15.6972i	0.688056	+	0.862795i	0.996068	−	0.0885872i	$-0.0282352\pi$
$331$	12.5181	+	15.6972i	0.688056	+	0.862795i	−0.308012	+	0.951382i	$0.599664\pi$
$332$	11.8878	−	2.71331i	0.652427	−	0.148912i
$333$	−2.12617	+	4.41504i	−0.116513	+	0.241942i
$334$	−2.43300	+	3.05089i	−0.133128	+	0.166937i
$335$	−22.3128	−	5.81654i	−1.21908	−	0.317791i
$336$	0.557260	+	0.698782i	0.0304010	+	0.0381217i
$337$			0.710269i			0.0386908i	0.999813	+	0.0193454i	$0.00615822\pi$
$337$			0.710269i			0.0386908i	−0.999813	+	0.0193454i	$0.993842\pi$
$338$			16.2617i			0.884520i
$339$	−4.52806	−	5.67800i	−0.245930	−	0.308387i
$340$	10.0413	−	7.51674i	0.544568	−	0.407652i
$341$	0.237454	−	1.04035i	0.0128588	−	0.0563383i
$342$	4.23829	−	0.967361i	0.229180	−	0.0523089i
$343$			6.52942i			0.352556i
$344$	6.19820	−	2.14065i	0.334184	−	0.115416i
$345$	−5.41668	−	27.6001i	−0.291624	−	1.48594i
$346$	−3.58628	−	15.7125i	−0.192800	−	0.844711i
$347$	−6.36655	−	1.45312i	−0.341774	−	0.0780078i	0.0481887	−	0.998838i	$-0.484655\pi$
$347$	−6.36655	−	1.45312i	−0.341774	−	0.0780078i	−0.389963	+	0.920830i	$0.627512\pi$
$348$	2.62813	+	5.45737i	0.140883	+	0.292546i
$349$	15.4581	+	19.3838i	0.827451	+	1.03759i	0.998629	+	0.0523505i	$0.0166713\pi$
$349$	15.4581	+	19.3838i	0.827451	+	1.03759i	−0.171178	+	0.985240i	$0.554757\pi$
$350$	−2.19418	+	0.895738i	−0.117284	+	0.0478792i
$351$	−24.9333			−1.33084
$352$	−0.484112	+	0.386066i	−0.0258032	+	0.0205774i
$353$	−6.44534	+	13.3839i	−0.343051	+	0.712352i	−0.999102	−	0.0423639i	$-0.986511\pi$
$353$	−6.44534	+	13.3839i	−0.343051	+	0.712352i	0.656051	+	0.754716i	$0.272225\pi$
$354$	−3.48077	+	4.36475i	−0.185001	+	0.231984i
$355$	−8.84864	+	33.9442i	−0.469637	+	1.80157i
$356$	1.14929	+	5.03538i	0.0609124	+	0.266875i
$357$	−3.91979	+	3.12593i	−0.207457	+	0.165442i
$358$	−18.3934	+	4.19817i	−0.972121	+	0.221880i
$359$	30.3042	−	14.5937i	1.59939	−	0.770227i	0.599839	−	0.800121i	$-0.295231\pi$
$359$	30.3042	−	14.5937i	1.59939	−	0.770227i	0.999553	+	0.0298939i	$0.00951695\pi$
$360$	−0.573035	+	1.10229i	−0.0302016	+	0.0580960i
$361$	26.3262	−	33.0119i	1.38559	−	1.73747i
$362$	10.8098	+	2.46727i	0.568152	+	0.129677i
$363$	−8.68589	−	18.0364i	−0.455891	−	0.946668i
$364$	2.31011	+	1.11249i	0.121083	+	0.0583103i
$365$	−0.594789	+	19.4270i	−0.0311327	+	1.01685i
$366$	0.486114	−	2.12981i	0.0254096	−	0.111327i
$367$	−2.98803	+	6.20470i	−0.155974	+	0.323883i	−0.964282	−	0.264876i	$-0.914669\pi$
$367$	−2.98803	+	6.20470i	−0.155974	+	0.323883i	0.808309	+	0.588759i	$0.200383\pi$
$368$	−2.89434	−	6.01017i	−0.150878	−	0.313302i
$369$	0.182186	−	0.798208i	0.00948421	−	0.0415531i
$370$	−17.4988	−	9.09684i	−0.909717	−	0.472922i
$371$	−1.46075	+	1.83172i	−0.0758382	+	0.0950981i
$372$	−1.40996	−	2.92780i	−0.0731028	−	0.151799i
$373$	33.1534	−	7.56705i	1.71662	−	0.391807i	0.752775	−	0.658277i	$-0.228715\pi$
$373$	33.1534	−	7.56705i	1.71662	−	0.391807i	0.963843	+	0.266470i	$0.0858575\pi$
$374$	−2.16562	−	2.71560i	−0.111982	−	0.140420i
$375$	−15.2079	−	14.6003i	−0.785331	−	0.753958i
$376$	−8.64361	−	4.16254i	−0.445760	−	0.214667i
$377$	13.5856	+	10.8342i	0.699696	+	0.557989i
$378$	−0.947928	+	1.96839i	−0.0487562	+	0.101243i
$379$	−8.11445	−	10.1752i	−0.416811	−	0.522665i	0.528457	−	0.848960i	$-0.322771\pi$
$379$	−8.11445	−	10.1752i	−0.416811	−	0.522665i	−0.945268	+	0.326296i	$0.894199\pi$
$380$	3.36946	+	17.1688i	0.172850	+	0.880738i
$381$	−8.10102			−0.415028
$382$	0.987100	−	0.787186i	0.0505044	−	0.0402759i
$383$	−5.49185	−	11.4039i	−0.280620	−	0.582714i	0.712248	−	0.701927i	$-0.247677\pi$
$383$	−5.49185	−	11.4039i	−0.280620	−	0.582714i	−0.992869	+	0.119214i	$0.961963\pi$
$384$	−0.419592	+	1.83835i	−0.0214122	+	0.0938130i
$385$	0.266522	+	0.599726i	0.0135832	+	0.0305649i
$386$	−18.2892			−0.930893
$387$	−2.56571	−	2.58662i	−0.130422	−	0.131485i
$388$			12.7041i			0.644953i
$389$	7.93717	+	34.7750i	0.402431	+	1.76316i	0.617506	+	0.786566i	$0.288143\pi$
$389$	7.93717	+	34.7750i	0.402431	+	1.76316i	−0.215076	+	0.976597i	$0.569000\pi$
$390$	−0.697983	+	22.7975i	−0.0353437	+	1.15440i
$391$	33.7138	−	16.2357i	1.70498	−	0.821074i
$392$	−5.29717	+	4.22435i	−0.267547	+	0.213362i
$393$			8.51714i			0.429633i
$394$	−25.2595			−1.27256
$395$	−10.8368	+	12.7670i	−0.545260	+	0.642378i
$396$	0.309956	+	0.149267i	0.0155759	+	0.00750094i
$397$	−15.9177	−	12.6939i	−0.798886	−	0.637091i	0.136531	−	0.990636i	$-0.456405\pi$
$397$	−15.9177	−	12.6939i	−0.798886	−	0.637091i	−0.935417	+	0.353545i	$0.884976\pi$
$398$	0.739514	−	1.53562i	0.0370685	−	0.0769735i
$399$	−1.55618	−	6.81807i	−0.0779065	−	0.341331i
$400$	−4.36369	−	2.44094i	−0.218185	−	0.122047i
$401$	−4.42331	−	19.3798i	−0.220889	−	0.967780i	−0.956811	−	0.290712i	$-0.906108\pi$
$401$	−4.42331	−	19.3798i	−0.220889	−	0.967780i	0.735921	−	0.677067i	$-0.236749\pi$
$402$	8.43674	+	17.5191i	0.420786	+	0.873772i
$403$	−7.28851	−	5.81239i	−0.363067	−	0.289536i
$404$	−4.36221	+	5.47003i	−0.217028	+	0.272144i
$405$	−23.1506	−	0.708792i	−1.15036	−	0.0352202i
$406$	1.37183	−	0.660638i	0.0680827	−	0.0327869i
$407$	−2.36959	+	4.92050i	−0.117456	+	0.243900i
$408$	−10.3121	−	2.35368i	−0.510527	−	0.116525i
$409$	2.21483	−	9.70381i	0.109516	−	0.479822i	−0.890190	−	0.455589i	$-0.849429\pi$
$409$	2.21483	−	9.70381i	0.109516	−	0.479822i	0.999706	−	0.0242329i	$-0.00771434\pi$
$410$	3.18856	+	0.831200i	0.157472	+	0.0410500i
$411$	25.4150	−	12.2392i	1.25363	−	0.603715i
$412$	−15.6562	−	3.57343i	−0.771327	−	0.176050i
$413$	1.09717	+	0.874968i	0.0539884	+	0.0430543i
$414$	−2.31081	+	2.89766i	−0.113570	+	0.142412i
$415$	21.8273	−	16.3394i	1.07146	−	0.802072i
$416$	1.20371	+	5.27378i	0.0590166	+	0.258568i
$417$	−18.4413	+	14.7064i	−0.903073	+	0.720176i
$418$	4.72351	−	1.07811i	0.231035	−	0.0527322i
$419$	−4.99401	−	2.40499i	−0.243973	−	0.117491i	0.307902	−	0.951418i	$-0.400373\pi$
$419$	−4.99401	−	2.40499i	−0.243973	−	0.117491i	−0.551875	+	0.833927i	$0.686087\pi$
$420$	1.77325	+	0.921833i	0.0865256	+	0.0449808i
$421$	26.1233	+	12.5803i	1.27317	+	0.613127i	0.943626	−	0.331013i	$-0.107390\pi$
$421$	26.1233	+	12.5803i	1.27317	+	0.613127i	0.329545	+	0.944140i	$0.393105\pi$
$422$	4.87777	−	3.88989i	0.237446	−	0.189357i
$423$			5.33019i			0.259163i
$424$	−4.94280			−0.240044
$425$	13.6924	−	24.4779i	0.664177	−	1.18735i
$426$	26.6516	−	12.8347i	1.29127	−	0.621845i
$427$	−0.535373	−	0.122195i	−0.0259085	−	0.00591345i
$428$	−5.19649	+	1.18607i	−0.251182	+	0.0573306i
$429$	6.31594			0.304937
$430$	10.7213	−	10.0026i	0.517029	−	0.482370i
$431$	22.2177			1.07019			0.535094	−	0.844792i	$-0.320276\pi$
$431$	22.2177			1.07019			0.535094	+	0.844792i	$0.320276\pi$
$432$	−4.49368	+	1.02565i	−0.216202	+	0.0493467i
$433$	−23.2256	−	5.30108i	−1.11615	−	0.254754i	−0.375617	−	0.926775i	$-0.622569\pi$
$433$	−23.2256	−	5.30108i	−1.11615	−	0.254754i	−0.740532	+	0.672021i	$0.765426\pi$
$434$	−0.735967	+	0.354423i	−0.0353275	+	0.0170128i
$435$	10.3260	+	8.76487i	0.495095	+	0.420244i
$436$	2.93120			0.140379
$437$			52.1960i			2.49687i
$438$	12.8142	−	10.2190i	0.612288	−	0.488284i
$439$	11.9789	+	5.76872i	0.571720	+	0.275326i	0.697326	−	0.716754i	$-0.254373\pi$
$439$	11.9789	+	5.76872i	0.571720	+	0.275326i	−0.125606	+	0.992080i	$0.540087\pi$
$440$	−0.638640	+	1.22849i	−0.0304460	+	0.0585661i
$441$	3.39155	+	1.63328i	0.161502	+	0.0777754i
$442$	−29.5830	+	6.75214i	−1.40712	+	0.321166i
$443$	23.3305	−	18.6054i	1.10847	−	0.883972i	0.114473	−	0.993426i	$-0.463482\pi$
$443$	23.3305	−	18.6054i	1.10847	−	0.883972i	0.993992	+	0.109455i	$0.0349105\pi$
$444$	3.70079	+	16.2142i	0.175631	+	0.769492i
$445$	6.92100	+	9.24551i	0.328087	+	0.438279i
$446$	−4.64331	+	5.82252i	−0.219867	+	0.275705i
$447$	−7.49138	−	5.97418i	−0.354330	−	0.282569i
$448$	0.462110	+	0.105474i	0.0218326	+	0.00498316i
$449$	6.85719	−	3.30225i	0.323611	−	0.155843i	−0.265024	−	0.964242i	$-0.585380\pi$
$449$	6.85719	−	3.30225i	0.323611	−	0.155843i	0.588635	+	0.808399i	$0.299666\pi$
$450$	−0.169945	+	2.77277i	−0.00801128	+	0.130709i
$451$	0.203044	−	0.889592i	0.00956095	−	0.0418893i
$452$	−3.75490	−	0.857032i	−0.176616	−	0.0403114i
$453$	−3.43251	+	7.12768i	−0.161273	+	0.334888i
$454$	3.04233	−	1.46511i	0.142784	−	0.0687609i
$455$	5.73065	+	0.175453i	0.268657	+	0.00822538i
$456$	9.19911	−	11.5353i	0.430788	−	0.540191i
$457$	−25.6943	−	20.4905i	−1.20193	−	0.958505i	−0.202144	−	0.979356i	$-0.564791\pi$
$457$	−25.6943	−	20.4905i	−1.20193	−	0.958505i	−0.999783	+	0.0208510i	$0.993362\pi$
$458$	−1.11365	−	2.31251i	−0.0520373	−	0.108057i
$459$	−5.75335	−	25.2071i	−0.268543	−	1.17657i
$460$	−11.3720	−	9.65271i	−0.530222	−	0.450060i
$461$	−6.81175	−	29.8442i	−0.317255	−	1.38998i	−0.842345	−	0.538938i	$-0.818826\pi$
$461$	−6.81175	−	29.8442i	−0.317255	−	1.38998i	0.525090	−	0.851047i	$-0.324032\pi$
$462$	0.240123	−	0.498621i	0.0111716	−	0.0231980i
$463$	24.4574	+	19.5041i	1.13663	+	0.906433i	0.996491	−	0.0836981i	$-0.0266731\pi$
$463$	24.4574	+	19.5041i	1.13663	+	0.906433i	0.140140	+	0.990132i	$0.455245\pi$
$464$	2.89419	+	1.39377i	0.134359	+	0.0647041i
$465$	−5.53977	−	4.70223i	−0.256900	−	0.218061i
$466$	−3.61401			−0.167416
$467$			2.13928i			0.0989943i	0.998774	+	0.0494971i	$0.0157619\pi$
$467$			2.13928i			0.0989943i	−0.998774	+	0.0494971i	$0.984238\pi$
$468$	2.34974	−	1.87386i	0.108617	−	0.0866191i
$469$	4.40380	−	2.12076i	0.203349	−	0.0979275i
$470$	−21.4421	−	0.656484i	−0.989049	−	0.0302814i
$471$	−10.2499	−	44.9078i	−0.472291	−	2.06924i
$472$			2.96067i			0.136276i
$473$	−2.85945	−	2.88275i	−0.131477	−	0.132549i
$474$	14.1217			0.648630
$475$	22.4758	+	32.0224i	1.03126	+	1.46929i
$476$	−0.591649	+	2.59218i	−0.0271182	+	0.118813i
$477$	1.19153	+	2.47423i	0.0545563	+	0.113287i
$478$	11.8803	−	9.47419i	0.543391	−	0.433340i
$479$	35.5888			1.62609			0.813046	−	0.582200i	$-0.197808\pi$
$479$	35.5888			1.62609			0.813046	+	0.582200i	$0.197808\pi$
$480$	0.812000	+	4.13747i	0.0370626	+	0.188849i
$481$	29.7472	+	37.3018i	1.35636	+	1.70082i
$482$	−7.77530	+	16.1456i	−0.354155	+	0.735411i
$483$	4.66143	+	3.71736i	0.212102	+	0.169146i
$484$	−9.56522	−	4.60637i	−0.434783	−	0.209380i
$485$	11.5364	+	25.9593i	0.523843	+	1.17875i
$486$	3.55626	+	4.45941i	0.161315	+	0.202283i
$487$	8.63298	−	1.97042i	0.391198	−	0.0892883i	−0.0223977	−	0.999749i	$-0.507130\pi$
$487$	8.63298	−	1.97042i	0.391198	−	0.0892883i	0.413595	+	0.910461i	$0.364273\pi$
$488$	−0.502672	−	1.04381i	−0.0227549	−	0.0472510i
$489$	0.297014	−	0.372444i	0.0134314	−	0.0168425i
$490$	−6.98802	+	13.4422i	−0.315686	+	0.607257i
$491$	0.0466035	−	0.204183i	0.00210319	−	0.00921466i	−0.973865	−	0.227126i	$-0.927067\pi$
$491$	0.0466035	−	0.204183i	0.00210319	−	0.00921466i	0.975969	+	0.217911i	$0.0699243\pi$
$492$	−1.20563	−	2.50353i	−0.0543542	−	0.112868i
$493$	−7.81828	+	16.2348i	−0.352118	+	0.731180i
$494$	9.41848	−	41.2651i	0.423758	−	1.85660i
$495$	0.768903	+	0.0235412i	0.0345596	+	0.00105810i
$496$	−1.55269	−	0.747738i	−0.0697180	−	0.0335744i
$497$	−3.22629	−	6.69946i	−0.144719	−	0.300512i
$498$	−22.4159	−	5.11629i	−1.00448	−	0.229267i
$499$	−19.8853	+	24.9353i	−0.890186	+	1.11626i	0.102403	+	0.994743i	$0.467347\pi$
$499$	−19.8853	+	24.9353i	−0.890186	+	1.11626i	−0.992590	+	0.121515i	$0.961225\pi$
$500$	−11.1332	−	1.02515i	−0.497894	−	0.0458461i
$501$	6.62947	−	3.19258i	0.296183	−	0.142634i
$502$	−1.64199	+	0.374773i	−0.0732855	+	0.0167269i
$503$	5.71637	−	4.55865i	0.254880	−	0.203260i	−0.487711	−	0.873005i	$-0.662168\pi$
$503$	5.71637	−	4.55865i	0.254880	−	0.203260i	0.742591	+	0.669745i	$0.233597\pi$
$504$	−0.0586005	−	0.256745i	−0.00261027	−	0.0114363i
$505$	−3.94635	+	15.1386i	−0.175610	+	0.673658i
$506$	−2.57536	+	3.22940i	−0.114489	+	0.143565i
$507$	13.3044	−	27.6269i	0.590869	−	1.22695i
$508$	−3.35890	+	2.67863i	−0.149027	+	0.118845i
$509$	−20.2913			−0.899395			−0.449697	−	0.893181i	$-0.648468\pi$
$509$	−20.2913			−0.899395			−0.449697	+	0.893181i	$0.648468\pi$
$510$	−23.2089	+	4.55488i	−1.02771	+	0.201693i
$511$	−2.56877	−	3.22114i	−0.113636	−	0.142495i
$512$	0.433884	+	0.900969i	0.0191751	+	0.0398176i
$513$	35.1611	+	8.02529i	1.55240	+	0.354325i
$514$	5.14194	+	22.5283i	0.226801	+	0.993681i
$515$	−35.2365	+	6.91536i	−1.55271	+	0.304727i
$516$	−12.2814	−	1.43429i	−0.540660	−	0.0631410i
$517$			5.94043i			0.261260i
$518$	4.07579	−	0.930273i	0.179080	−	0.0408738i
$519$	−6.76240	+	29.6280i	−0.296836	+	1.30053i
$520$	7.24868	+	9.68324i	0.317875	+	0.424638i
$521$	−18.6386	−	23.3720i	−0.816571	−	1.02395i	−0.999169	−	0.0407599i	$-0.987022\pi$
$521$	−18.6386	−	23.3720i	−0.816571	−	1.02395i	0.182598	−	0.983188i	$-0.441549\pi$
$522$		−	1.78474i		−	0.0781159i
$523$		−	38.8211i		−	1.69753i	−0.528773	−	0.848763i	$-0.677348\pi$
$523$		−	38.8211i		−	1.69753i	0.528773	−	0.848763i	$-0.322652\pi$
$524$	2.81622	+	3.53143i	0.123027	+	0.154271i
$525$	4.46051	+	0.273388i	0.194673	+	0.0119316i
$526$	−5.56216	+	6.97473i	−0.242522	+	0.304113i
$527$	4.19440	−	8.70976i	0.182711	−	0.379403i
$528$	1.13831	−	0.259812i	0.0495386	−	0.0113069i
$529$	−13.4046	−	16.8089i	−0.582810	−	0.730821i
$530$	−10.1000	+	4.48849i	−0.438716	+	0.194968i
$531$	1.48203	−	0.713709i	0.0643147	−	0.0309723i
$532$	−2.89965	−	2.31240i	−0.125716	−	0.100255i
$533$	−6.23231	−	4.97010i	−0.269951	−	0.215279i
$534$	2.16714	−	9.49485i	0.0937813	−	0.410883i
$535$	−9.54133	+	7.14244i	−0.412508	+	0.308795i
$536$	9.29084	+	4.47423i	0.401303	+	0.193257i
$537$	34.6831	+	7.91619i	1.49669	+	0.341609i
$538$	11.4175	+	2.60596i	0.492242	+	0.112351i
$539$	3.77983	+	1.82027i	0.162809	+	0.0784047i
$540$	−8.25088	+	6.17644i	−0.355062	+	0.265792i
$541$	2.71115	−	11.8783i	0.116561	−	0.510689i	−0.882614	−	0.470098i	$-0.844219\pi$
$541$	2.71115	−	11.8783i	0.116561	−	0.510689i	0.999176	−	0.0405913i	$-0.0129242\pi$
$542$	−11.1180	−	8.86633i	−0.477560	−	0.380841i
$543$	−16.3461	−	13.0356i	−0.701480	−	0.559412i
$544$	−5.05394	+	2.43385i	−0.216686	+	0.104350i
$545$	5.98954	−	2.66179i	0.256564	−	0.114018i
$546$	−3.01445	−	3.78000i	−0.129006	−	0.161769i
$547$	2.03791	−	0.465140i	0.0871349	−	0.0198880i	−0.178731	−	0.983898i	$-0.557199\pi$
$547$	2.03791	−	0.465140i	0.0871349	−	0.0198880i	0.265866	+	0.964010i	$0.414342\pi$
$548$	6.49078	−	13.4782i	0.277273	−	0.575762i
$549$	−0.401327	+	0.503248i	−0.0171282	+	0.0214781i
$550$	−0.189401	+	3.09021i	−0.00807610	+	0.131767i
$551$	−15.6714	−	19.6513i	−0.667623	−	0.837173i
$552$			12.5786i			0.535382i
$553$		−	3.54979i		−	0.150952i
$554$	−11.5669	−	14.5045i	−0.491431	−	0.616235i
$555$	22.2860	+	29.7710i	0.945988	+	1.26371i
$556$	−2.78351	+	12.1953i	−0.118047	+	0.517198i
$557$	−16.4444	+	3.75334i	−0.696773	+	0.159034i	−0.556215	−	0.831038i	$-0.687747\pi$
$557$	−16.4444	+	3.75334i	−0.696773	+	0.159034i	−0.140558	+	0.990072i	$0.544890\pi$
$558$			0.957488i			0.0405337i
$559$	−33.5286	+	11.5796i	−1.41811	+	0.489766i
$560$	1.04004	−	0.204114i	0.0439498	−	0.00862539i
$561$	1.45740	+	6.38530i	0.0615316	+	0.269588i
$562$	18.5432	+	4.23236i	0.782197	+	0.178531i
$563$	3.46500	+	7.19514i	0.146032	+	0.303239i	0.961136	−	0.276076i	$-0.0890343\pi$
$563$	3.46500	+	7.19514i	0.146032	+	0.303239i	−0.815103	+	0.579315i	$0.803320\pi$
$564$	11.2790	+	14.1434i	0.474932	+	0.595545i
$565$	−8.45093	+	1.65854i	−0.355533	+	0.0697754i
$566$	−14.3171			−0.601794
$567$	3.83854	−	3.06113i	0.161203	−	0.128555i
$568$	6.80661	−	14.1341i	0.285599	−	0.593052i
$569$	−6.47384	+	8.11794i	−0.271398	+	0.340322i	−0.898788	−	0.438383i	$-0.855551\pi$
$569$	−6.47384	+	8.11794i	−0.271398	+	0.340322i	0.627391	+	0.778705i	$0.284123\pi$
$570$	8.32215	−	31.9246i	0.348577	−	1.33717i
$571$	−9.67661	−	42.3960i	−0.404954	−	1.77422i	−0.606855	−	0.794812i	$-0.707569\pi$
$571$	−9.67661	−	42.3960i	−0.404954	−	1.77422i	0.201902	−	0.979406i	$-0.435288\pi$
$572$	2.61876	−	2.08839i	0.109496	−	0.0873199i
$573$	−2.32101	+	0.529755i	−0.0969615	+	0.0221308i
$574$	−0.629316	+	0.303062i	−0.0262671	+	0.0126496i
$575$	−32.0027	−	9.39734i	−1.33461	−	0.391896i
$576$	0.346407	−	0.434381i	0.0144336	−	0.0180992i
$577$	−0.428848	−	0.0978817i	−0.0178532	−	0.00407487i	0.213585	−	0.976924i	$-0.431486\pi$
$577$	−0.428848	−	0.0978817i	−0.0178532	−	0.00407487i	−0.231438	+	0.972850i	$0.574343\pi$
$578$	−6.27655	−	13.0334i	−0.261070	−	0.542117i
$579$	31.0713	+	14.9631i	1.29128	+	0.621847i
$580$	7.17958	+	0.219815i	0.298116	+	0.00912730i
$581$	−1.28609	+	5.63474i	−0.0533561	+	0.233768i
$582$	10.3938	−	21.5829i	0.430836	−	0.894641i
$583$	1.32794	+	2.75750i	0.0549977	+	0.114204i
$584$	1.93417	−	8.47415i	0.0800365	−	0.350663i
$585$	3.09978	−	5.96276i	0.128160	−	0.246530i
$586$	−6.53017	+	8.18857i	−0.269759	+	0.338267i
$587$	5.44915	+	11.3153i	0.224910	+	0.467031i	0.982636	−	0.185542i	$-0.0594040\pi$
$587$	5.44915	+	11.3153i	0.224910	+	0.467031i	−0.757726	+	0.652573i	$0.773690\pi$
$588$	12.4554	−	2.84287i	0.513654	−	0.117238i
$589$	8.40748	+	10.5426i	0.346424	+	0.434402i
$590$	2.68855	+	6.04976i	0.110686	+	0.249065i
$591$	42.9132	+	20.6659i	1.76521	+	0.850082i
$592$	6.89573	+	5.49916i	0.283413	+	0.226014i
$593$	−10.2935	+	21.3747i	−0.422704	+	0.877754i	0.575497	+	0.817804i	$0.304809\pi$
$593$	−10.2935	+	21.3747i	−0.422704	+	0.877754i	−0.998201	+	0.0599504i	$0.980906\pi$
$594$	1.77947	+	2.23139i	0.0730126	+	0.0915549i
$595$	1.14497	+	5.83407i	0.0469391	+	0.239173i
$596$	−5.08151			−0.208147
$597$	−2.51271	+	2.00382i	−0.102838	+	0.0820108i
$598$	15.6567	+	32.5115i	0.640250	+	1.32949i
$599$	−0.986987	+	4.32427i	−0.0403272	+	0.176685i	−0.991081	−	0.133263i	$-0.957455\pi$
$599$	−0.986987	+	4.32427i	−0.0403272	+	0.176685i	0.950754	+	0.309948i	$0.100312\pi$
$600$	5.41640	+	7.71702i	0.221124	+	0.315046i
$601$	−12.5869			−0.513430			−0.256715	−	0.966487i	$-0.582640\pi$
$601$	−12.5869			−0.513430			−0.256715	+	0.966487i	$0.582640\pi$
$602$	−0.360539	+	3.08720i	−0.0146945	+	0.125825i
$603$		−	5.72931i		−	0.233316i
$604$	0.933584	+	4.09030i	0.0379870	+	0.166432i
$605$	−23.7283	−	0.726481i	−0.964692	−	0.0295356i
$606$	11.8862	−	5.72409i	0.482844	−	0.232525i
$607$	19.6862	−	15.6992i	0.799038	−	0.637212i	−0.136419	−	0.990651i	$-0.543559\pi$
$607$	19.6862	−	15.6992i	0.799038	−	0.637212i	0.935457	+	0.353439i	$0.114988\pi$
$608$		−	7.82457i		−	0.317328i
$609$	−2.87108			−0.116342
$610$	−1.97502	−	1.67642i	−0.0799661	−	0.0678764i
$611$	46.7568	+	22.5169i	1.89158	+	0.910936i
$612$	2.43664	+	1.94315i	0.0984953	+	0.0785474i
$613$	−4.92112	+	10.2188i	−0.198762	+	0.412734i	−0.976397	−	0.215982i	$-0.930705\pi$
$613$	−4.92112	+	10.2188i	−0.198762	+	0.412734i	0.777635	+	0.628716i	$0.216419\pi$
$614$	−2.37609	−	10.4103i	−0.0958913	−	0.420127i
$615$	−4.73698	−	4.02082i	−0.191014	−	0.162135i
$616$	−0.0653094	−	0.286139i	−0.00263139	−	0.0115289i
$617$	−20.5086	−	42.5865i	−0.825645	−	1.71447i	−0.690119	−	0.723696i	$-0.742442\pi$
$617$	−20.5086	−	42.5865i	−0.825645	−	1.71447i	−0.135526	−	0.990774i	$-0.543272\pi$
$618$	23.6747	+	18.8799i	0.952335	+	0.759462i
$619$	12.8765	−	16.1466i	0.517550	−	0.648987i	−0.452537	−	0.891746i	$-0.649481\pi$
$619$	12.8765	−	16.1466i	0.517550	−	0.648987i	0.970087	+	0.242759i	$0.0780524\pi$
$620$	−3.85174	−	0.117927i	−0.154690	−	0.00473608i
$621$	−27.7023	+	13.3407i	−1.11166	+	0.535345i
$622$	4.96518	−	10.3103i	0.199086	−	0.413406i
$623$	−2.38674	−	0.544757i	−0.0956227	−	0.0218252i
$624$	2.26974	−	9.94439i	0.0908624	−	0.398094i
$625$	−23.6803	+	8.01518i	−0.947212	+	0.320607i
$626$	−6.74353	+	3.24751i	−0.269526	+	0.129797i
$627$	−8.90679	−	2.03292i	−0.355703	−	0.0811869i
$628$	−19.0988	−	15.2308i	−0.762125	−	0.607775i
$629$	−30.8473	+	38.6813i	−1.22996	+	1.54232i
$630$	−0.352890	−	0.471413i	−0.0140595	−	0.0187815i
$631$	−4.46319	−	19.5545i	−0.177677	−	0.778453i	−0.982699	−	0.185208i	$-0.940704\pi$
$631$	−4.46319	−	19.5545i	−0.177677	−	0.778453i	0.805023	−	0.593244i	$-0.202153\pi$
$632$	5.85522	−	4.66938i	0.232908	−	0.185738i
$633$	−11.4693	+	2.61779i	−0.455864	+	0.104048i
$634$	1.29405	+	0.623183i	0.0513934	+	0.0247498i
$635$	−4.43105	+	8.52361i	−0.175841	+	0.338249i
$636$	8.39729	+	4.04392i	0.332974	+	0.160352i
$637$	28.6545	−	22.8512i	1.13533	−	0.905399i
$638$		−	1.98907i		−	0.0787480i
$639$	−8.71595			−0.344798
$640$	1.70474	+	1.44701i	0.0673860	+	0.0571982i
$641$	−12.4462	+	5.99376i	−0.491594	+	0.236739i	−0.663222	−	0.748423i	$-0.730812\pi$
$641$	−12.4462	+	5.99376i	−0.491594	+	0.236739i	0.171628	+	0.985162i	$0.445097\pi$
$642$	9.79865	+	2.23648i	0.386722	+	0.0882668i
$643$	36.8376	−	8.40793i	1.45273	−	0.331577i	0.577941	−	0.816078i	$-0.303856\pi$
$643$	36.8376	−	8.40793i	1.45273	−	0.331577i	0.874790	+	0.484502i	$0.160999\pi$
$644$	3.16191			0.124597
$645$	−26.3980	+	8.22181i	−1.03942	+	0.323734i
$646$	43.8915			1.72689
$647$	29.3551	−	6.70010i	1.15407	−	0.263408i	0.397675	−	0.917526i	$-0.369817\pi$
$647$	29.3551	−	6.70010i	1.15407	−	0.263408i	0.756392	+	0.654118i	$0.226960\pi$
$648$	10.0984	+	2.30489i	0.396703	+	0.0905448i
$649$	1.65170	−	0.795419i	0.0648351	−	0.0312229i
$650$	23.6050	+	13.2041i	0.925864	+	0.517906i
$651$	1.54030			0.0603690
$652$		−	0.252634i		−	0.00989391i
$653$	−3.59975	+	2.87070i	−0.140869	+	0.112339i	−0.691389	−	0.722483i	$-0.743001\pi$
$653$	−3.59975	+	2.87070i	−0.140869	+	0.112339i	0.550520	+	0.834822i	$0.314429\pi$
$654$	−4.97980	−	2.39814i	−0.194725	−	0.0937748i
$655$	8.96145	+	4.65866i	0.350153	+	0.182029i
$656$	−1.32769	−	0.639381i	−0.0518375	−	0.0249636i
$657$	−4.70819	+	1.07461i	−0.183684	+	0.0419247i
$658$	3.55526	−	2.83522i	0.138598	−	0.110528i
$659$	−10.1116	−	44.3019i	−0.393893	−	1.72576i	−0.650736	−	0.759304i	$-0.725539\pi$
$659$	−10.1116	−	44.3019i	−0.393893	−	1.72576i	0.256843	−	0.966453i	$-0.417318\pi$
$660$	2.09006	−	1.56458i	0.0813556	−	0.0609011i
$661$	−13.0372	+	16.3481i	−0.507088	+	0.635868i	−0.967812	−	0.251676i	$-0.919018\pi$
$661$	−13.0372	+	16.3481i	−0.507088	+	0.635868i	0.460724	+	0.887543i	$0.347590\pi$
$662$	−15.6972	−	12.5181i	−0.610088	−	0.486529i
$663$	55.7826	+	12.7320i	2.16642	+	0.494471i
$664$	−10.9860	+	5.29056i	−0.426338	+	0.205314i
$665$	−8.02493	−	2.09195i	−0.311194	−	0.0811225i
$666$	1.09042	−	4.77746i	0.0422531	−	0.185123i
$667$	20.8914	+	4.76832i	0.808917	+	0.184630i
$668$	1.69311	−	3.51579i	0.0655086	−	0.136030i
$669$	12.6521	−	6.09295i	0.489160	−	0.235567i
$670$	23.0477	+	0.705642i	0.890409	+	0.0272613i
$671$	−0.447274	+	0.560863i	−0.0172668	+	0.0216519i
$672$	−0.698782	−	0.557260i	−0.0269561	−	0.0214968i
$673$	13.5133	+	28.0606i	0.520899	+	1.08166i	0.981039	+	0.193811i	$0.0620848\pi$
$673$	13.5133	+	28.0606i	0.520899	+	1.08166i	−0.460140	+	0.887846i	$0.652201\pi$
$674$	−0.158050	−	0.692461i	−0.00608785	−	0.0266726i
$675$	−11.2509	+	20.1133i	−0.433047	+	0.774161i
$676$	−3.61857	−	15.8540i	−0.139176	−	0.609768i
$677$	14.5106	−	30.1316i	0.557689	−	1.15805i	−0.411426	−	0.911443i	$-0.634969\pi$
$677$	14.5106	−	30.1316i	0.557689	−	1.15805i	0.969115	−	0.246609i	$-0.0793164\pi$
$678$	5.67800	+	4.52806i	0.218062	+	0.173899i
$679$	−5.42534	−	2.61270i	−0.208205	−	0.100266i
$680$	−8.11695	+	9.56269i	−0.311271	+	0.366712i
$681$	−6.36726			−0.243994
$682$			1.06711i			0.0408617i
$683$	−2.88883	+	2.30377i	−0.110538	+	0.0881511i	−0.677199	−	0.735800i	$-0.736806\pi$
$683$	−2.88883	+	2.30377i	−0.110538	+	0.0881511i	0.566661	+	0.823951i	$0.308235\pi$
$684$	−3.91677	+	1.88622i	−0.149761	+	0.0721212i
$685$	1.02368	−	33.4353i	0.0391127	−	1.27750i
$686$	−1.45293	−	6.36571i	−0.0554732	−	0.243044i
$687$			4.83983i			0.184651i
$688$	−5.56646	+	3.46620i	−0.212219	+	0.132148i
$689$	26.7376			1.01862
$690$	11.4225	+	25.7028i	0.434846	+	0.978490i
$691$	2.26668	−	9.93098i	0.0862286	−	0.377792i	−0.913339	−	0.407200i	$-0.866505\pi$
$691$	2.26668	−	9.93098i	0.0862286	−	0.377792i	0.999567	+	0.0294081i	$0.00936224\pi$
$692$	6.99274	+	14.5206i	0.265824	+	0.551989i
$693$	−0.127490	+	0.101670i	−0.00484294	+	0.00386212i
$694$	6.53028			0.247886
$695$	5.38668	+	27.4473i	0.204329	+	1.04114i
$696$	−3.77662	−	4.73573i	−0.143152	−	0.179507i
$697$	3.58658	−	7.44760i	0.135851	−	0.282098i
$698$	−19.3838	−	15.4581i	−0.733687	−	0.585096i
$699$	6.13981	+	2.95678i	0.232229	+	0.111836i
$700$	1.93984	−	1.36153i	0.0733191	−	0.0514610i
$701$	−6.47209	−	8.11574i	−0.244447	−	0.306527i	0.644438	−	0.764656i	$-0.277091\pi$
$701$	−6.47209	−	8.11574i	−0.244447	−	0.306527i	−0.888886	+	0.458129i	$0.848520\pi$
$702$	24.3081	−	5.54817i	0.917452	−	0.209402i
$703$	−29.9434	−	62.1780i	−1.12934	−	2.34509i
$704$	0.386066	−	0.484112i	0.0145504	−	0.0182456i
$705$	35.8907	+	18.6580i	1.35172	+	0.702701i
$706$	3.30555	−	14.4825i	0.124406	−	0.545058i
$707$	−1.43887	−	2.98785i	−0.0541144	−	0.112370i
$708$	2.42225	−	5.02986i	0.0910338	−	0.189034i
$709$	−9.94300	+	43.5631i	−0.373417	+	1.63605i	0.343689	+	0.939084i	$0.388323\pi$
$709$	−9.94300	+	43.5631i	−0.373417	+	1.63605i	−0.717106	+	0.696964i	$0.754534\pi$
$710$	1.07349	−	35.0622i	0.0402872	−	1.31586i
$711$	−3.74884	−	1.80535i	−0.140593	−	0.0677058i
$712$	−2.24095	−	4.65339i	−0.0839833	−	0.174393i
$713$	−11.2079	−	2.55814i	−0.419740	−	0.0958030i
$714$	3.12593	−	3.91979i	0.116985	−	0.146694i
$715$	3.45466	−	6.64542i	0.129197	−	0.248525i
$716$	16.9980	−	8.18583i	0.635247	−	0.305919i
$717$	−27.9345	+	6.37588i	−1.04323	+	0.238111i
$718$	−26.2970	+	20.9711i	−0.981394	+	0.782636i
$719$	3.38717	+	14.8401i	0.126320	+	0.553444i	0.997991	+	0.0633529i	$0.0201794\pi$
$719$	3.38717	+	14.8401i	0.126320	+	0.553444i	−0.871671	+	0.490091i	$0.836963\pi$
$720$	0.313384	−	1.20217i	0.0116791	−	0.0448022i
$721$	4.74588	−	5.95115i	0.176746	−	0.221632i
$722$	−18.3202	+	38.0424i	−0.681809	+	1.41579i
$723$	26.4188	−	21.0683i	0.982526	−	0.783538i
$724$	−11.0878			−0.412075
$725$	14.8702	−	6.07052i	0.552264	−	0.225453i
$726$	12.4816	+	15.6514i	0.463236	+	0.580879i
$727$	−5.25966	−	10.9218i	−0.195070	−	0.405067i	0.780375	−	0.625312i	$-0.215028\pi$
$727$	−5.25966	−	10.9218i	−0.195070	−	0.405067i	−0.975444	+	0.220246i	$0.929314\pi$
$728$	−2.49974	−	0.570549i	−0.0926465	−	0.0211460i
$729$	4.52141	+	19.8096i	0.167460	+	0.733689i
$730$	−3.74303	−	19.0723i	−0.138536	−	0.705896i
$731$	−19.4435	−	31.2248i	−0.719144	−	1.15489i
$732$			2.18458i			0.0807443i
$733$	−1.22581	+	0.279782i	−0.0452762	+	0.0103340i	−0.245099	−	0.969498i	$-0.578820\pi$
$733$	−1.22581	+	0.279782i	−0.0452762	+	0.0103340i	0.199823	+	0.979832i	$0.435963\pi$
$734$	1.53243	−	6.71403i	0.0565632	−	0.247820i
$735$	22.8695	−	17.1197i	0.843556	−	0.631469i
$736$	4.15917	+	5.21543i	0.153309	+	0.192243i
$737$		−	6.38524i		−	0.235204i
$738$			0.818736i			0.0301381i
$739$	−12.4020	−	15.5516i	−0.456214	−	0.572074i	0.499521	−	0.866301i	$-0.333509\pi$
$739$	−12.4020	−	15.5516i	−0.456214	−	0.572074i	−0.955735	+	0.294227i	$0.904938\pi$
$740$	19.0843	+	4.97492i	0.701552	+	0.182882i
$741$	−49.7617	+	62.3992i	−1.82804	+	2.29229i
$742$	1.01653	−	2.11084i	0.0373179	−	0.0774914i
$743$	−35.7946	+	8.16988i	−1.31318	+	0.299724i	−0.821078	−	0.570816i	$-0.806627\pi$
$743$	−35.7946	+	8.16988i	−1.31318	+	0.299724i	−0.492098	+	0.870540i	$0.663770\pi$
$744$	2.02610	+	2.54065i	0.0742805	+	0.0931448i
$745$	−10.3834	+	4.61445i	−0.380419	+	0.169060i
$746$	−30.6384	+	14.7547i	−1.12175	+	0.540206i
$747$	5.29662	+	4.22392i	0.193793	+	0.154545i
$748$	2.71560	+	2.16562i	0.0992922	+	0.0791829i
$749$	0.562188	−	2.46310i	0.0205419	−	0.0899999i
$750$	18.0755	+	10.8502i	0.660022	+	0.396194i
$751$	23.3506	+	11.2451i	0.852077	+	0.410339i	0.808348	−	0.588705i	$-0.200362\pi$
$751$	23.3506	+	11.2451i	0.852077	+	0.410339i	0.0437289	+	0.999043i	$0.486076\pi$
$752$	9.35315	+	2.13479i	0.341074	+	0.0778480i
$753$	3.09618	+	0.706683i	0.112831	+	0.0257530i
$754$	−15.6559	−	7.53946i	−0.570153	−	0.274571i
$755$	5.62201	+	7.51024i	0.204606	+	0.273325i
$756$	0.486153	−	2.12998i	0.0176812	−	0.0774664i
$757$	−10.7938	−	8.60775i	−0.392307	−	0.312854i	0.407395	−	0.913252i	$-0.366437\pi$
$757$	−10.7938	−	8.60775i	−0.392307	−	0.312854i	−0.799701	+	0.600398i	$0.795009\pi$
$758$	10.1752	+	8.11445i	0.369580	+	0.294730i
$759$	7.01738	−	3.37939i	0.254715	−	0.122664i
$760$	−7.10539	−	15.9885i	−0.257740	−	0.579965i
$761$	24.2664	+	30.4292i	0.879658	+	1.10306i	0.993974	+	0.109612i	$0.0349608\pi$
$761$	24.2664	+	30.4292i	0.879658	+	1.10306i	−0.114317	+	0.993444i	$0.536468\pi$
$762$	7.89791	−	1.80265i	0.286111	−	0.0653030i
$763$	−0.602826	+	1.25178i	−0.0218238	+	0.0453175i
$764$	−0.787186	+	0.987100i	−0.0284794	+	0.0357120i
$765$	6.74352	+	1.75791i	0.243812	+	0.0635575i
$766$	7.89177	+	9.89596i	0.285141	+	0.357556i
$767$		−	16.0155i		−	0.578285i
$768$		−	1.88563i		−	0.0680417i
$769$	−29.3988	−	36.8649i	−1.06015	−	1.32938i	−0.941712	−	0.336419i	$-0.890784\pi$
$769$	−29.3988	−	36.8649i	−1.06015	−	1.32938i	−0.118434	−	0.992962i	$-0.537787\pi$
$770$	−0.393291	−	0.525383i	−0.0141732	−	0.0189335i
$771$	9.69578	−	42.4800i	0.349185	−	1.52988i
$772$	17.8306	−	4.06972i	0.641737	−	0.146472i
$773$			39.5080i			1.42100i	0.703695	+	0.710502i	$0.251532\pi$
$773$			39.5080i			1.42100i	−0.703695	+	0.710502i	$0.748468\pi$
$774$	3.07695	+	1.95084i	0.110599	+	0.0701216i
$775$	−7.97764	+	3.25675i	−0.286565	+	0.116986i
$776$	−2.82693	−	12.3856i	−0.101481	−	0.444617i
$777$	−7.68543	−	1.75415i	−0.275713	−	0.0629297i
$778$	−15.4763	−	32.1369i	−0.554854	−	1.15217i
$779$	7.18912	+	9.01487i	0.257577	+	0.322991i
$780$	−4.39244	−	22.3812i	−0.157275	−	0.801377i
$781$	−9.71381			−0.347587
$782$	−29.2557	+	23.3306i	−1.04618	+	0.834302i
$783$	6.42422	−	13.3400i	0.229583	−	0.476734i
$784$	4.22435	−	5.29717i	0.150870	−	0.189185i
$785$	−52.8569	−	13.7788i	−1.88654	−	0.491787i
$786$	−1.89524	−	8.30360i	−0.0676011	−	0.296180i
$787$	−23.6607	+	18.8688i	−0.843412	+	0.672599i	−0.946723	−	0.322050i	$-0.895628\pi$
$787$	−23.6607	+	18.8688i	−0.843412	+	0.672599i	0.103310	+	0.994649i	$0.467057\pi$
$788$	24.6262	−	5.62077i	0.877273	−	0.200232i
$789$	15.1558	−	7.29867i	0.539562	−	0.259840i
$790$	7.72420	−	14.8583i	0.274815	−	0.528636i
$791$	1.13823	−	1.42729i	0.0404706	−	0.0507486i
$792$	−0.335399	−	0.0765527i	−0.0119179	−	0.00272018i
$793$	2.71916	+	5.64639i	0.0965602	+	0.200509i
$794$	18.3433	+	8.83366i	0.650978	+	0.313495i
$795$	20.8310	+	0.637776i	0.738800	+	0.0226196i
$796$	−0.379266	+	1.66167i	−0.0134427	+	0.0588964i
$797$	20.1739	−	41.8916i	0.714597	−	1.48388i	−0.153849	−	0.988094i	$-0.549167\pi$
$797$	20.1739	−	41.8916i	0.714597	−	1.48388i	0.868447	−	0.495782i	$-0.165119\pi$
$798$	3.03433	+	6.30085i	0.107414	+	0.223048i
$799$	−11.9750	+	52.4660i	−0.423646	+	1.85612i
$800$	4.79744	+	1.40873i	0.169615	+	0.0498062i
$801$	−1.78915	+	2.24352i	−0.0632165	+	0.0792710i
$802$	8.62481	+	17.9096i	0.304553	+	0.632410i
$803$	−5.24721	+	1.19764i	−0.185170	+	0.0422639i
$804$	−12.1236	−	15.2025i	−0.427565	−	0.536150i
$805$	6.46097	−	2.87129i	0.227719	−	0.101200i
$806$	8.39915	+	4.04482i	0.295848	+	0.142473i
$807$	−17.2650	−	13.7684i	−0.607757	−	0.484670i
$808$	3.03564	−	6.30357i	0.106793	−	0.221759i
$809$	−7.54219	−	9.45761i	−0.265169	−	0.332512i	0.631365	−	0.775486i	$-0.282495\pi$
$809$	−7.54219	−	9.45761i	−0.265169	−	0.332512i	−0.896535	+	0.442974i	$0.853923\pi$
$810$	22.7278	−	4.46046i	0.798575	−	0.156725i
$811$	−18.2406			−0.640515			−0.320258	−	0.947330i	$-0.603769\pi$
$811$	−18.2406			−0.640515			−0.320258	+	0.947330i	$0.603769\pi$
$812$	−1.19043	+	0.949335i	−0.0417758	+	0.0333151i
$813$	11.6344	+	24.1591i	0.408036	+	0.847296i
$814$	1.21526	−	5.32441i	0.0425949	−	0.186621i
$815$	−0.229414	−	0.516226i	−0.00803601	−	0.0180826i
$816$	10.5773			0.370281
$817$	51.0094	−	5.53781i	1.78459	−	0.193744i
$818$			9.95336i			0.348011i
$819$	0.316994	+	1.38884i	0.0110767	+	0.0485300i
$820$	−3.29358	−	0.100838i	−0.115017	−	0.00352142i
$821$	−32.2510	+	15.5313i	−1.12557	+	0.542045i	−0.901608	−	0.432553i	$-0.857613\pi$
$821$	−32.2510	+	15.5313i	−1.12557	+	0.542045i	−0.223960	+	0.974598i	$0.571898\pi$
$822$	−22.0543	+	17.5877i	−0.769231	+	0.613442i
$823$		−	13.1256i		−	0.457531i	−0.973482	−	0.228766i	$-0.926531\pi$
$823$		−	13.1256i		−	0.457531i	0.973482	−	0.228766i	$-0.0734689\pi$
$824$	16.0589			0.559437
$825$	2.85001	−	5.09498i	0.0992246	−	0.177384i
$826$	−1.26436	−	0.608886i	−0.0439929	−	0.0211859i
$827$	13.3182	+	10.6209i	0.463120	+	0.369326i	0.827076	−	0.562090i	$-0.190003\pi$
$827$	13.3182	+	10.6209i	0.463120	+	0.369326i	−0.363956	+	0.931416i	$0.618574\pi$
$828$	1.60808	−	3.33921i	0.0558847	−	0.116046i
$829$	−0.173683	−	0.760953i	−0.00603225	−	0.0264290i	0.971822	−	0.235715i	$-0.0757432\pi$
$829$	−0.173683	−	0.760953i	−0.00603225	−	0.0264290i	−0.977854	+	0.209286i	$0.932886\pi$
$830$	−17.6441	+	20.7868i	−0.612437	+	0.721521i
$831$	7.78422	+	34.1049i	0.270032	+	1.18309i
$832$	−2.34705	−	4.87371i	−0.0813695	−	0.168965i
$833$	29.7142	+	23.6963i	1.02954	+	0.821028i
$834$	14.7064	−	18.4413i	0.509242	−	0.638569i
$835$	0.267025	−	8.72157i	0.00924078	−	0.301822i
$836$	−4.36518	+	2.10216i	−0.150973	+	0.0727048i
$837$	−3.44650	+	7.15674i	−0.119129	+	0.247373i
$838$	5.40396	+	1.23342i	0.186677	+	0.0426077i
$839$	1.38035	−	6.04773i	0.0476551	−	0.208791i	−0.945495	−	0.325637i	$-0.894421\pi$
$839$	1.38035	−	6.04773i	0.0476551	−	0.208791i	0.993150	+	0.116846i	$0.0372784\pi$
$840$	−1.93391	−	0.504136i	−0.0667264	−	0.0173944i
$841$	16.8311	−	8.10541i	0.580381	−	0.279497i
$842$	−28.2677	−	6.45192i	−0.974170	−	0.222348i
$843$	−28.0402	−	22.3613i	−0.965755	−	0.770164i
$844$	−3.88989	+	4.87777i	−0.133896	+	0.167900i
$845$	−21.7909	−	29.1096i	−0.749629	−	1.00140i
$846$	−1.18608	−	5.19655i	−0.0407782	−	0.178661i
$847$	3.93433	−	3.13752i	0.135185	−	0.107807i
$848$	4.81887	−	1.09988i	0.165481	−	0.0377699i
$849$	24.3233	+	11.7135i	0.834772	+	0.402005i
$850$	−7.90221	+	26.9110i	−0.271044	+	0.923041i
$851$	53.0095	+	25.5280i	1.81714	+	0.875089i
$852$	−23.1274	+	18.4435i	−0.792331	+	0.631863i
$853$			14.8149i			0.507253i	0.967302	+	0.253626i	$0.0816233\pi$
$853$			14.8149i			0.507253i	−0.967302	+	0.253626i	$0.918377\pi$
$854$	0.549141			0.0187912
$855$	−6.29057	+	7.41101i	−0.215133	+	0.253451i
$856$	4.80228	−	2.31266i	0.164139	−	0.0790450i
$857$	−0.00951881	−	0.00217261i	−0.000325156	−	7.42148e-5i	0.222358	−	0.974965i	$-0.428625\pi$
$857$	−0.00951881	−	0.00217261i	−0.000325156	−	7.42148e-5i	−0.222684	+	0.974891i	$0.571482\pi$
$858$	−6.15759	+	1.40543i	−0.210217	+	0.0479806i
$859$	−31.3714			−1.07038			−0.535189	−	0.844732i	$-0.679760\pi$
$859$	−31.3714			−1.07038			−0.535189	+	0.844732i	$0.679760\pi$
$860$	−8.22674	+	12.1376i	−0.280529	+	0.413888i
$861$	1.31709			0.0448862
$862$	−21.6606	+	4.94390i	−0.737764	+	0.168390i
$863$	−16.4709	−	3.75937i	−0.560675	−	0.127970i	−0.0672145	−	0.997739i	$-0.521411\pi$
$863$	−16.4709	−	3.75937i	−0.560675	−	0.127970i	−0.493461	+	0.869768i	$0.664268\pi$
$864$	4.15278	−	1.99987i	0.141281	−	0.0680371i
$865$	27.4747	+	23.3209i	0.934168	+	0.792936i
$866$	23.8229			0.809534
$867$			27.2774i			0.926390i
$868$	0.638648	−	0.509305i	0.0216771	−	0.0172869i
$869$	−4.17803	−	2.01204i	−0.141730	−	0.0682536i
$870$	−12.0175	−	6.24737i	−0.407431	−	0.211806i
$871$	−50.2579	−	24.2029i	−1.70293	−	0.820086i
$872$	−2.85771	+	0.652254i	−0.0967743	+	0.0220881i
$873$	−5.51842	+	4.40079i	−0.186770	+	0.148944i
$874$	−11.6147	−	50.8873i	−0.392873	−	1.72129i
$875$	2.72744	−	4.54366i	0.0922042	−	0.153604i
$876$	−10.2190	+	12.8142i	−0.345269	+	0.432953i
$877$	24.2429	+	19.3331i	0.818625	+	0.652831i	0.940530	−	0.339710i	$-0.110329\pi$
$877$	24.2429	+	19.3331i	0.818625	+	0.652831i	−0.121906	+	0.992542i	$0.538900\pi$
$878$	−12.9622	−	2.95854i	−0.437453	−	0.0998458i
$879$	17.7935	−	8.56889i	0.600159	−	0.289021i
$880$	0.349262	−	1.33980i	0.0117736	−	0.0451647i
$881$	−7.22222	+	31.6426i	−0.243323	+	1.06607i	0.694647	+	0.719351i	$0.255561\pi$
$881$	−7.22222	+	31.6426i	−0.243323	+	1.06607i	−0.937970	+	0.346717i	$0.887297\pi$
$882$	−3.66995	−	0.837643i	−0.123574	−	0.0282049i
$883$	−23.5226	+	48.8453i	−0.791600	+	1.64377i	−0.0266833	+	0.999644i	$0.508495\pi$
$883$	−23.5226	+	48.8453i	−0.791600	+	1.64377i	−0.764916	+	0.644130i	$0.777220\pi$
$884$	27.3388	−	13.1657i	0.919505	−	0.442810i
$885$	0.382019	−	12.4775i	0.0128414	−	0.419427i
$886$	−18.6054	+	23.3305i	−0.625062	+	0.783803i
$887$	−5.14066	−	4.09954i	−0.172606	−	0.137649i	0.533376	−	0.845878i	$-0.320923\pi$
$887$	−5.14066	−	4.09954i	−0.172606	−	0.137649i	−0.705983	+	0.708229i	$0.749494\pi$
$888$	−7.21600	−	14.9842i	−0.242153	−	0.502836i
$889$	−0.453134	−	1.98531i	−0.0151976	−	0.0665852i
$890$	−8.80479	−	7.47364i	−0.295137	−	0.250517i
$891$	−1.42719	−	6.25295i	−0.0478128	−	0.209482i
$892$	3.23126	−	6.70977i	0.108190	−	0.224660i
$893$	−58.6893	−	46.8031i	−1.96396	−	1.56621i
$894$	8.63294	+	4.15740i	0.288729	+	0.139044i
$895$	27.2999	−	32.1624i	0.912536	−	1.07507i
$896$	−0.473994			−0.0158350
$897$		−	68.0429i		−	2.27189i
$898$	−5.95045	+	4.74532i	−0.198569	+	0.158353i
$899$	4.98773	−	2.40196i	0.166350	−	0.0801100i
$900$	−0.451315	−	2.74106i	−0.0150438	−	0.0913688i
$901$	6.16971	+	27.0312i	0.205543	+	0.900541i
$902$			0.912470i			0.0303819i
$903$	3.13829	−	4.94985i	0.104436	−	0.164721i
$904$	3.85147			0.128098
$905$	−22.6566	+	10.0687i	−0.753129	+	0.334695i
$906$	1.76039	−	7.71278i	0.0584851	−	0.256240i
$907$	3.51503	+	7.29902i	0.116714	+	0.242360i	0.951140	−	0.308761i	$-0.0999144\pi$
$907$	3.51503	+	7.29902i	0.116714	+	0.242360i	−0.834425	+	0.551121i	$0.814200\pi$
$908$	−2.64003	+	2.10536i	−0.0876126	+	0.0698687i
$909$	−3.88718			−0.128930
$910$	−5.62601	+	1.10414i	−0.186501	+	0.0366017i
$911$	−11.6946	−	14.6646i	−0.387460	−	0.485860i	0.549402	−	0.835558i	$-0.314855\pi$
$911$	−11.6946	−	14.6646i	−0.387460	−	0.485860i	−0.936862	+	0.349698i	$0.886284\pi$
$912$	−6.40162	+	13.2931i	−0.211979	+	0.440178i
$913$	5.90302	+	4.70750i	0.195361	+	0.155795i
$914$	29.6096	+	14.2592i	0.979399	+	0.471654i
$915$	1.98379	+	4.46391i	0.0655820	+	0.147572i
$916$	1.60031	+	2.00672i	0.0528757	+	0.0663040i
$917$	−2.08729	+	0.476410i	−0.0689284	+	0.0157325i
$918$	11.2182	+	23.2948i	0.370256	+	0.768844i
$919$	−20.8024	+	26.0854i	−0.686209	+	0.860479i	−0.995910	−	0.0903553i	$-0.971200\pi$
$919$	−20.8024	+	26.0854i	−0.686209	+	0.860479i	0.309701	+	0.950834i	$0.399771\pi$
$920$	13.2348	+	6.88019i	0.436338	+	0.226833i
$921$	−4.48043	+	19.6300i	−0.147635	+	0.646832i
$922$	13.2819	+	27.5802i	0.437417	+	0.908306i
$923$	−36.8197	+	76.4569i	−1.21194	+	2.51661i
$924$	−0.123149	+	0.539552i	−0.00405131	+	0.0177500i
$925$	43.5140	−	7.16455i	1.43073	−	0.235569i
$926$	−28.1843	−	13.5728i	−0.926193	−	0.446031i
$927$	−3.87120	−	8.03863i	−0.127147	−	0.264023i
$928$	−3.13177	−	0.714806i	−0.102805	−	0.0234647i
$929$	17.7316	−	22.2347i	0.581756	−	0.729498i	−0.400656	−	0.916229i	$-0.631218\pi$
$929$	17.7316	−	22.2347i	0.581756	−	0.729498i	0.982411	+	0.186730i	$0.0597891\pi$
$930$	6.44722	+	3.35163i	0.211413	+	0.109904i
$931$	−47.7640	+	23.0019i	−1.56540	+	0.753858i
$932$	3.52340	−	0.804193i	0.115413	−	0.0263422i
$933$	−16.8706	+	13.4539i	−0.552319	+	0.440460i
$934$	−0.476035	−	2.08565i	−0.0155764	−	0.0682445i
$935$	7.51556	+	1.95917i	0.245785	+	0.0640717i
$936$	−1.87386	+	2.34974i	−0.0612490	+	0.0768038i
$937$	8.84509	−	18.3670i	0.288956	−	0.600024i	−0.705073	−	0.709134i	$-0.749086\pi$
$937$	8.84509	−	18.3670i	0.288956	−	0.600024i	0.994030	+	0.109110i	$0.0348002\pi$
$938$	−3.82147	+	3.04752i	−0.124776	+	0.0995052i
$939$	14.1135			0.460576
$940$	21.0506	−	4.13129i	0.686594	−	0.134748i
$941$	22.1220	+	27.7401i	0.721156	+	0.904302i	0.998403	−	0.0564973i	$-0.0179932\pi$
$941$	22.1220	+	27.7401i	0.721156	+	0.904302i	−0.277246	+	0.960799i	$0.589422\pi$
$942$	19.9858	+	41.5010i	0.651174	+	1.35218i
$943$	−9.58375	−	2.18743i	−0.312090	−	0.0712325i
$944$	−0.658811	−	2.88644i	−0.0214425	−	0.0939456i
$945$	−0.940810	−	4.79381i	−0.0306046	−	0.155943i
$946$	3.42923	+	2.17419i	0.111494	+	0.0706890i
$947$		−	2.37183i		−	0.0770741i	−0.999257	−	0.0385370i	$-0.987730\pi$
$947$		−	2.37183i		−	0.0770741i	0.999257	−	0.0385370i	$-0.0122698\pi$
$948$	−13.7676	+	3.14237i	−0.447151	+	0.102059i
$949$	−10.4627	+	45.8401i	−0.339634	+	1.48803i
$950$	−29.0379	−	26.2182i	−0.942115	−	0.850631i
$951$	−1.68860	−	2.11744i	−0.0547567	−	0.0686627i
$952$		−	2.65885i		−	0.0861737i
$953$		−	35.5452i		−	1.15142i	−0.817653	−	0.575711i	$-0.804725\pi$
$953$		−	35.5452i		−	1.15142i	0.817653	−	0.575711i	$-0.195275\pi$
$954$	−1.71222	−	2.14706i	−0.0554352	−	0.0695136i
$955$	−0.712143	+	2.73185i	−0.0230444	+	0.0884005i
$956$	−9.47419	+	11.8803i	−0.306417	+	0.384235i
$957$	−1.62734	+	3.37921i	−0.0526045	+	0.109234i
$958$	−34.6965	+	7.91924i	−1.12099	+	0.255859i
$959$	4.42105	+	5.54382i	0.142763	+	0.179019i
$960$	−1.71231	−	3.85304i	−0.0552647	−	0.124356i
$961$	25.2542	−	12.1618i	0.814651	−	0.392315i
$962$	−37.3018	−	29.7472i	−1.20266	−	0.959088i
$963$	−2.31531	−	1.84639i	−0.0746097	−	0.0594992i
$964$	3.98763	−	17.4709i	0.128433	−	0.562701i
$965$	32.7389	−	24.5077i	1.05390	−	0.788931i
$966$	−5.37174	−	2.58690i	−0.172833	−	0.0832320i
$967$	−33.5011	−	7.64640i	−1.07732	−	0.245892i	−0.353189	−	0.935552i	$-0.614903\pi$
$967$	−33.5011	−	7.64640i	−1.07732	−	0.245892i	−0.724133	+	0.689660i	$0.757760\pi$
$968$	10.3504	+	2.36241i	0.332675	+	0.0759308i
$969$	−74.5670	−	35.9096i	−2.39544	−	1.15358i
$970$	−17.0237	−	22.7413i	−0.546597	−	0.730179i
$971$	4.27524	−	18.7311i	0.137199	−	0.601109i	−0.858844	−	0.512237i	$-0.828817\pi$
$971$	4.27524	−	18.7311i	0.137199	−	0.601109i	0.996043	−	0.0888713i	$-0.0283260\pi$
$972$	−4.45941	−	3.55626i	−0.143036	−	0.114067i
$973$	−4.63561	−	3.69678i	−0.148611	−	0.118513i
$974$	−7.97807	+	3.84204i	−0.255634	+	0.123107i
$975$	−29.2995	−	41.7445i	−0.938335	−	1.33690i
$976$	0.722339	+	0.905784i	0.0231215	+	0.0289934i
$977$	−34.1046	+	7.78416i	−1.09110	+	0.249037i	−0.729972	−	0.683477i	$-0.760467\pi$
$977$	−34.1046	+	7.78416i	−1.09110	+	0.249037i	−0.361132	+	0.932515i	$0.617610\pi$
$978$	−0.206691	+	0.429198i	−0.00660924	+	0.0137242i
$979$	−1.99398	+	2.50038i	−0.0637280	+	0.0799124i
$980$	3.82164	−	14.6602i	0.122078	−	0.468302i
$981$	1.01539	+	1.27326i	0.0324189	+	0.0406520i
$982$			0.209434i			0.00668332i
$983$			24.7444i			0.789224i	0.918848	+	0.394612i	$0.129121\pi$
$983$			24.7444i			0.789224i	−0.918848	+	0.394612i	$0.870879\pi$
$984$	1.73249	+	2.17248i	0.0552299	+	0.0692561i
$985$	45.2164	−	33.8481i	1.44072	−	1.07849i
$986$	4.00967	−	17.5675i	0.127694	−	0.559464i
$987$	−8.35962	+	1.90803i	−0.266090	+	0.0607332i
$988$			42.3263i			1.34658i
$989$	−31.0564	+	30.8054i	−0.987537	+	0.979553i
$990$	−0.754863	+	0.148146i	−0.0239911	+	0.00470839i
$991$	−9.02042	−	39.5210i	−0.286543	−	1.25543i	−0.889234	−	0.457453i	$-0.848762\pi$
$991$	−9.02042	−	39.5210i	−0.286543	−	1.25543i	0.602691	−	0.797975i	$-0.294095\pi$
$992$	1.68015	+	0.383484i	0.0533449	+	0.0121756i
$993$	16.4262	+	34.1094i	0.521271	+	1.08243i
$994$	4.63617	+	5.81357i	0.147050	+	0.184395i
$995$	0.733961	+	3.73982i	0.0232681	+	0.118560i
$996$	22.9924			0.728542
$997$	−31.6524	+	25.2420i	−1.00244	+	0.799421i	−0.979730	−	0.200321i	$-0.935801\pi$
$997$	−31.6524	+	25.2420i	−1.00244	+	0.799421i	−0.0227118	+	0.999742i	$0.507230\pi$
$998$	13.8381	−	28.7350i	0.438036	−	0.909591i
$999$	25.3469	−	31.7841i	0.801942	−	1.00560i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.p.a.59.9	✓	132
5.4	even	2	inner	430.2.p.a.59.14	yes	132
43.35	even	7	inner	430.2.p.a.379.14	yes	132
215.164	even	14	inner	430.2.p.a.379.9	yes	132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.p.a.59.9	✓	132	1.1	even	1	trivial
430.2.p.a.59.14	yes	132	5.4	even	2	inner
430.2.p.a.379.9	yes	132	215.164	even	14	inner
430.2.p.a.379.14	yes	132	43.35	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.p (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.974928 + 0.222521i) q^{2} +(1.83835 + 0.419592i) q^{3} +(0.900969 - 0.433884i) q^{4} +(1.44701 - 1.70474i) q^{5} -1.88563 q^{6} +0.473994i q^{7} +(-0.781831 + 0.623490i) q^{8} +(0.500573 + 0.241063i) q^{9} +O(q^{10})\)	\(q+(-0.974928 + 0.222521i) q^{2} +(1.83835 + 0.419592i) q^{3} +(0.900969 - 0.433884i) q^{4} +(1.44701 - 1.70474i) q^{5} -1.88563 q^{6} +0.473994i q^{7} +(-0.781831 + 0.623490i) q^{8} +(0.500573 + 0.241063i) q^{9} +(-1.03139 + 1.98399i) q^{10} +(0.557882 + 0.268662i) q^{11} +(1.83835 - 0.419592i) q^{12} +(4.22925 - 3.37271i) q^{13} +(-0.105474 - 0.462110i) q^{14} +(3.37541 - 2.52677i) q^{15} +(0.623490 - 0.781831i) q^{16} +(4.38565 + 3.49744i) q^{17} +(-0.541664 - 0.123631i) q^{18} +(-7.04969 + 3.39495i) q^{19} +(0.564052 - 2.16376i) q^{20} +(-0.198884 + 0.871367i) q^{21} +(-0.603677 - 0.137785i) q^{22} +(2.89434 - 6.01017i) q^{23} +(-1.69889 + 0.818143i) q^{24} +(-0.812310 - 4.93357i) q^{25} +(-3.37271 + 4.22925i) q^{26} +(-3.60365 - 2.87381i) q^{27} +(0.205658 + 0.427054i) q^{28} +(0.714806 + 3.13177i) q^{29} +(-2.72853 + 3.21452i) q^{30} +(-0.383484 - 1.68015i) q^{31} +(-0.433884 + 0.900969i) q^{32} +(0.912855 + 0.727977i) q^{33} +(-5.05394 - 2.43385i) q^{34} +(0.808038 + 0.685875i) q^{35} +0.555594 q^{36} +8.81997i q^{37} +(6.11749 - 4.87854i) q^{38} +(9.19000 - 4.42567i) q^{39} +(-0.0684288 + 2.23502i) q^{40} +(-0.327912 - 1.43668i) q^{41} -0.893776i q^{42} +(-6.18062 - 2.19089i) q^{43} +0.619202 q^{44} +(1.13529 - 0.504528i) q^{45} +(-1.48439 + 6.50353i) q^{46} +(4.16254 + 8.64361i) q^{47} +(1.47424 - 1.17567i) q^{48} +6.77533 q^{49} +(1.88977 + 4.62912i) q^{50} +(6.59487 + 8.26970i) q^{51} +(2.34705 - 4.87371i) q^{52} +(3.86444 + 3.08179i) q^{53} +(4.15278 + 1.99987i) q^{54} +(1.26526 - 0.562289i) q^{55} +(-0.295530 - 0.370583i) q^{56} +(-14.3843 + 3.28312i) q^{57} +(-1.39377 - 2.89419i) q^{58} +(1.84595 - 2.31475i) q^{59} +(1.94482 - 3.74107i) q^{60} +(-0.257800 + 1.12949i) q^{61} +(0.747738 + 1.55269i) q^{62} +(-0.114262 + 0.237268i) q^{63} +(0.222521 - 0.974928i) q^{64} +(0.370159 - 12.0901i) q^{65} +(-1.05196 - 0.506596i) q^{66} +(-4.47423 - 9.29084i) q^{67} +(5.46881 + 1.24822i) q^{68} +(7.84264 - 9.83436i) q^{69} +(-0.940401 - 0.488873i) q^{70} +(-14.1341 + 6.80661i) q^{71} +(-0.541664 + 0.123631i) q^{72} +(-6.79574 + 5.41942i) q^{73} +(-1.96263 - 8.59883i) q^{74} +(0.576775 - 9.41048i) q^{75} +(-4.87854 + 6.11749i) q^{76} +(-0.127344 + 0.264432i) q^{77} +(-7.97478 + 6.35968i) q^{78} -7.48910 q^{79} +(-0.430626 - 2.19421i) q^{80} +(-6.45817 - 8.09829i) q^{81} +(0.639381 + 1.32769i) q^{82} +(11.8878 + 2.71331i) q^{83} +(0.198884 + 0.871367i) q^{84} +(12.3083 - 2.41557i) q^{85} +(6.51317 + 0.760641i) q^{86} +6.05722i q^{87} +(-0.603677 + 0.137785i) q^{88} +(-1.14929 + 5.03538i) q^{89} +(-0.994554 + 0.744503i) q^{90} +(1.59864 + 2.00464i) q^{91} -6.67078i q^{92} -3.24962i q^{93} +(-5.98156 - 7.50064i) q^{94} +(-4.41346 + 16.9305i) q^{95} +(-1.17567 + 1.47424i) q^{96} +(-5.51211 + 11.4460i) q^{97} +(-6.60546 + 1.50765i) q^{98} +(0.214496 + 0.268969i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q + 22 q^{4} - 4 q^{5} - 4 q^{6} + 12 q^{9}+O(q^{10}) \) 132 * q + 22 * q^4 - 4 * q^5 - 4 * q^6 + 12 * q^9	\( 132 q + 22 q^{4} - 4 q^{5} - 4 q^{6} + 12 q^{9} + 8 q^{11} - 10 q^{14} - 20 q^{15} - 22 q^{16} - 4 q^{19} + 4 q^{20} - 24 q^{21} + 4 q^{24} - 16 q^{25} + 12 q^{26} + 40 q^{29} + 24 q^{31} - 4 q^{35} + 128 q^{36} - 56 q^{39} - 28 q^{41} - 8 q^{44} - 80 q^{45} - 12 q^{46} - 136 q^{49} - 56 q^{50} + 172 q^{51} + 16 q^{54} - 4 q^{56} + 16 q^{59} - 8 q^{60} - 44 q^{61} + 22 q^{64} + 42 q^{65} + 8 q^{66} - 62 q^{69} + 12 q^{70} - 8 q^{71} - 4 q^{74} - 122 q^{75} - 52 q^{76} - 64 q^{79} - 4 q^{80} - 56 q^{81} + 24 q^{84} - 72 q^{85} - 10 q^{86} + 16 q^{89} + 2 q^{90} - 24 q^{91} - 20 q^{94} + 106 q^{95} - 4 q^{96} - 104 q^{99}+O(q^{100}) \) 132 * q + 22 * q^4 - 4 * q^5 - 4 * q^6 + 12 * q^9 + 8 * q^11 - 10 * q^14 - 20 * q^15 - 22 * q^16 - 4 * q^19 + 4 * q^20 - 24 * q^21 + 4 * q^24 - 16 * q^25 + 12 * q^26 + 40 * q^29 + 24 * q^31 - 4 * q^35 + 128 * q^36 - 56 * q^39 - 28 * q^41 - 8 * q^44 - 80 * q^45 - 12 * q^46 - 136 * q^49 - 56 * q^50 + 172 * q^51 + 16 * q^54 - 4 * q^56 + 16 * q^59 - 8 * q^60 - 44 * q^61 + 22 * q^64 + 42 * q^65 + 8 * q^66 - 62 * q^69 + 12 * q^70 - 8 * q^71 - 4 * q^74 - 122 * q^75 - 52 * q^76 - 64 * q^79 - 4 * q^80 - 56 * q^81 + 24 * q^84 - 72 * q^85 - 10 * q^86 + 16 * q^89 + 2 * q^90 - 24 * q^91 - 20 * q^94 + 106 * q^95 - 4 * q^96 - 104 * q^99

Introduction

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