LMFDB - Embedded newform 430.2.k.a.41.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 3 x^{11} + 6 x^{10} - 16 x^{9} + 44 x^{8} - 70 x^{7} + 141 x^{6} - 182 x^{5} + 270 x^{4} + \cdots + 1 $ x^12 - 3x^11 + 6x^10 - 16x^9 + 44x^8 - 70x^7 + 141x^6 - 182x^5 + 270x^4 - 124x^3 + 115x^2 + 20*x + 1
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			41.1
Root			$0.963727 + 1.20848i$ of defining polynomial
Character	$\chi$	$=$	430.41
Dual form			430.2.k.a.21.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.900969 + 0.433884i) q^{2} +(-0.991657 - 0.477557i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} +1.10066 q^{6} +1.63616 q^{7} +(-0.222521 + 0.974928i) q^{8} +(-1.11515 - 1.39835i) q^{9} +O(q^{10})$	\(q+(-0.900969 + 0.433884i) q^{2} +(-0.991657 - 0.477557i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} +1.10066 q^{6} +1.63616 q^{7} +(-0.222521 + 0.974928i) q^{8} +(-1.11515 - 1.39835i) q^{9} +(-0.222521 - 0.974928i) q^{10} +(0.880839 + 1.10454i) q^{11} +(-0.991657 + 0.477557i) q^{12} +(0.400969 - 1.75676i) q^{13} +(-1.47413 + 0.709904i) q^{14} +(0.686248 - 0.860528i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(1.00433 + 4.40025i) q^{17} +(1.61143 + 0.776025i) q^{18} +(2.89695 - 3.63267i) q^{19} +(0.623490 + 0.781831i) q^{20} +(-1.62251 - 0.781360i) q^{21} +(-1.27285 - 0.612972i) q^{22} +(0.414542 + 0.519820i) q^{23} +(0.686248 - 0.860528i) q^{24} +(-0.900969 - 0.433884i) q^{25} +(0.400969 + 1.75676i) q^{26} +(1.17281 + 5.13841i) q^{27} +(1.02013 - 1.27920i) q^{28} +(9.23952 - 4.44952i) q^{29} +(-0.244919 + 1.07306i) q^{30} +(5.89791 - 2.84028i) q^{31} +(0.623490 + 0.781831i) q^{32} +(-0.346011 - 1.51597i) q^{33} +(-2.81407 - 3.52873i) q^{34} +(-0.364080 + 1.59514i) q^{35} -1.78856 q^{36} +2.34985 q^{37} +(-1.03391 + 4.52986i) q^{38} +(-1.23658 + 1.55062i) q^{39} +(-0.900969 - 0.433884i) q^{40} +(10.9567 - 5.27646i) q^{41} +1.80085 q^{42} +(5.17805 + 4.02341i) q^{43} +1.41276 q^{44} +(1.61143 - 0.776025i) q^{45} +(-0.599031 - 0.288478i) q^{46} +(-3.02858 + 3.79772i) q^{47} +(-0.244919 + 1.07306i) q^{48} -4.32298 q^{49} +1.00000 q^{50} +(1.10542 - 4.84316i) q^{51} +(-1.12349 - 1.40881i) q^{52} +(-0.561529 - 2.46022i) q^{53} +(-3.28614 - 4.12068i) q^{54} +(-1.27285 + 0.612972i) q^{55} +(-0.364080 + 1.59514i) q^{56} +(-4.60759 + 2.21890i) q^{57} +(-6.39395 + 8.01776i) q^{58} +(1.55106 + 6.79565i) q^{59} +(-0.244919 - 1.07306i) q^{60} +(-3.66747 - 1.76616i) q^{61} +(-4.08148 + 5.11801i) q^{62} +(-1.82456 - 2.28793i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(1.62349 + 0.781831i) q^{65} +(0.969501 + 1.21572i) q^{66} +(-5.45014 + 6.83427i) q^{67} +(4.06644 + 1.95830i) q^{68} +(-0.162840 - 0.713450i) q^{69} +(-0.364080 - 1.59514i) q^{70} +(-4.02423 + 5.04622i) q^{71} +(1.61143 - 0.776025i) q^{72} +(3.55613 - 15.5804i) q^{73} +(-2.11715 + 1.01956i) q^{74} +(0.686248 + 0.860528i) q^{75} +(-1.03391 - 4.52986i) q^{76} +(1.44119 + 1.80720i) q^{77} +(0.441329 - 1.93359i) q^{78} +3.26865 q^{79} +1.00000 q^{80} +(0.0968850 - 0.424481i) q^{81} +(-7.58226 + 9.50785i) q^{82} +(0.418795 + 0.201681i) q^{83} +(-1.62251 + 0.781360i) q^{84} -4.51341 q^{85} +(-6.41095 - 1.37830i) q^{86} -11.2873 q^{87} +(-1.27285 + 0.612972i) q^{88} +(-15.8294 - 7.62302i) q^{89} +(-1.11515 + 1.39835i) q^{90} +(0.656050 - 2.87434i) q^{91} +0.664874 q^{92} -7.20509 q^{93} +(1.08089 - 4.73568i) q^{94} +(2.89695 + 3.63267i) q^{95} +(-0.244919 - 1.07306i) q^{96} +(-1.02721 - 1.28809i) q^{97} +(3.89487 - 1.87567i) q^{98} +(0.562264 - 2.46344i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q - 2 q^{2} - q^{3} - 2 q^{4} - 2 q^{5} - 8 q^{6} + 4 q^{7} - 2 q^{8} + 7 q^{9}+O(q^{10}) $ 12 * q - 2 * q^2 - q^3 - 2 * q^4 - 2 * q^5 - 8 * q^6 + 4 * q^7 - 2 * q^8 + 7 * q^9	\( 12 q - 2 q^{2} - q^{3} - 2 q^{4} - 2 q^{5} - 8 q^{6} + 4 q^{7} - 2 q^{8} + 7 q^{9} - 2 q^{10} + 3 q^{11} - q^{12} - 4 q^{13} - 10 q^{14} - q^{15} - 2 q^{16} - 5 q^{17} - 2 q^{19} - 2 q^{20} + 22 q^{21} - 4 q^{22} - 16 q^{23} - q^{24} - 2 q^{25} - 4 q^{26} + 8 q^{27} + 11 q^{28} + 2 q^{29} + 6 q^{30} + 27 q^{31} - 2 q^{32} + 6 q^{33} + 2 q^{34} - 3 q^{35} - 18 q^{37} - 2 q^{38} + 5 q^{39} - 2 q^{40} + 14 q^{41} - 20 q^{42} + 14 q^{43} - 4 q^{44} - 16 q^{46} + 2 q^{47} + 6 q^{48} - 12 q^{49} + 12 q^{50} - 5 q^{51} - 4 q^{52} + 2 q^{53} - 6 q^{54} - 4 q^{55} - 3 q^{56} - 19 q^{57} + 2 q^{58} + 4 q^{59} + 6 q^{60} + 16 q^{61} - 22 q^{62} + 13 q^{63} - 2 q^{64} + 10 q^{65} - 8 q^{66} + 9 q^{67} + 9 q^{68} - 15 q^{69} - 3 q^{70} + 27 q^{71} + 28 q^{73} + 24 q^{74} - q^{75} - 2 q^{76} + 26 q^{77} + 5 q^{78} + 10 q^{79} + 12 q^{80} - 12 q^{81} + 7 q^{82} - 31 q^{83} + 22 q^{84} - 12 q^{85} - 28 q^{86} - 6 q^{87} - 4 q^{88} - 38 q^{89} + 7 q^{90} + 8 q^{91} + 12 q^{92} - 2 q^{93} - 12 q^{94} - 2 q^{95} + 6 q^{96} - 15 q^{97} - 19 q^{98} - 6 q^{99}+O(q^{100}) \) 12 * q - 2 * q^2 - q^3 - 2 * q^4 - 2 * q^5 - 8 * q^6 + 4 * q^7 - 2 * q^8 + 7 * q^9 - 2 * q^10 + 3 * q^11 - q^12 - 4 * q^13 - 10 * q^14 - q^15 - 2 * q^16 - 5 * q^17 - 2 * q^19 - 2 * q^20 + 22 * q^21 - 4 * q^22 - 16 * q^23 - q^24 - 2 * q^25 - 4 * q^26 + 8 * q^27 + 11 * q^28 + 2 * q^29 + 6 * q^30 + 27 * q^31 - 2 * q^32 + 6 * q^33 + 2 * q^34 - 3 * q^35 - 18 * q^37 - 2 * q^38 + 5 * q^39 - 2 * q^40 + 14 * q^41 - 20 * q^42 + 14 * q^43 - 4 * q^44 - 16 * q^46 + 2 * q^47 + 6 * q^48 - 12 * q^49 + 12 * q^50 - 5 * q^51 - 4 * q^52 + 2 * q^53 - 6 * q^54 - 4 * q^55 - 3 * q^56 - 19 * q^57 + 2 * q^58 + 4 * q^59 + 6 * q^60 + 16 * q^61 - 22 * q^62 + 13 * q^63 - 2 * q^64 + 10 * q^65 - 8 * q^66 + 9 * q^67 + 9 * q^68 - 15 * q^69 - 3 * q^70 + 27 * q^71 + 28 * q^73 + 24 * q^74 - q^75 - 2 * q^76 + 26 * q^77 + 5 * q^78 + 10 * q^79 + 12 * q^80 - 12 * q^81 + 7 * q^82 - 31 * q^83 + 22 * q^84 - 12 * q^85 - 28 * q^86 - 6 * q^87 - 4 * q^88 - 38 * q^89 + 7 * q^90 + 8 * q^91 + 12 * q^92 - 2 * q^93 - 12 * q^94 - 2 * q^95 + 6 * q^96 - 15 * q^97 - 19 * q^98 - 6 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−0.900969	+	0.433884i	−0.637081	+	0.306802i
$2$	−0.900969	+	0.433884i	−0.637081	+	0.306802i
$3$	−0.991657	−	0.477557i	−0.572533	−	0.275718i	0.125133	−	0.992140i	$-0.460064\pi$
$3$	−0.991657	−	0.477557i	−0.572533	−	0.275718i	−0.697667	+	0.716422i	$0.745778\pi$
$4$	0.623490	−	0.781831i	0.311745	−	0.390916i
$5$	−0.222521	+	0.974928i	−0.0995144	+	0.436001i
$5$	−0.222521	+	0.974928i	−0.0995144	+	0.436001i
$6$	1.10066			0.449341
$7$	1.63616			0.618411			0.309205	−	0.950995i	$-0.399937\pi$
$7$	1.63616			0.618411			0.309205	+	0.950995i	$0.399937\pi$
$8$	−0.222521	+	0.974928i	−0.0786730	+	0.344689i
$9$	−1.11515	−	1.39835i	−0.371716	−	0.466117i
$10$	−0.222521	−	0.974928i	−0.0703673	−	0.308299i
$11$	0.880839	+	1.10454i	0.265583	+	0.333030i	0.896685	−	0.442669i	$-0.145968\pi$
$11$	0.880839	+	1.10454i	0.265583	+	0.333030i	−0.631102	+	0.775700i	$0.717397\pi$
$12$	−0.991657	+	0.477557i	−0.286267	+	0.137859i
$13$	0.400969	−	1.75676i	0.111209	−	0.487237i	−0.888395	−	0.459080i	$-0.848179\pi$
$13$	0.400969	−	1.75676i	0.111209	−	0.487237i	0.999604	−	0.0281571i	$-0.00896385\pi$
$14$	−1.47413	+	0.709904i	−0.393978	+	0.189730i
$15$	0.686248	−	0.860528i	0.177188	−	0.222187i
$16$	−0.222521	−	0.974928i	−0.0556302	−	0.243732i
$17$	1.00433	+	4.40025i	0.243585	+	1.06722i	0.937725	+	0.347378i	$0.112928\pi$
$17$	1.00433	+	4.40025i	0.243585	+	1.06722i	−0.694140	+	0.719840i	$0.744215\pi$
$18$	1.61143	+	0.776025i	0.379819	+	0.182911i
$19$	2.89695	−	3.63267i	0.664607	−	0.833391i	−0.329229	−	0.944250i	$-0.606789\pi$
$19$	2.89695	−	3.63267i	0.664607	−	0.833391i	0.993836	+	0.110859i	$0.0353603\pi$
$20$	0.623490	+	0.781831i	0.139417	+	0.174823i
$21$	−1.62251	−	0.781360i	−0.354061	−	0.170507i
$22$	−1.27285	−	0.612972i	−0.271372	−	0.130686i
$23$	0.414542	+	0.519820i	0.0864381	+	0.108390i	0.823170	−	0.567795i	$-0.192203\pi$
$23$	0.414542	+	0.519820i	0.0864381	+	0.108390i	−0.736732	+	0.676185i	$0.763632\pi$
$24$	0.686248	−	0.860528i	0.140080	−	0.175654i
$25$	−0.900969	−	0.433884i	−0.180194	−	0.0867767i
$26$	0.400969	+	1.75676i	0.0786365	+	0.344529i
$27$	1.17281	+	5.13841i	0.225707	+	0.988887i
$28$	1.02013	−	1.27920i	0.192786	−	0.241747i
$29$	9.23952	−	4.44952i	1.71574	−	0.826255i	0.725276	−	0.688458i	$-0.241712\pi$
$29$	9.23952	−	4.44952i	1.71574	−	0.826255i	0.990460	−	0.137797i	$-0.0440022\pi$
$30$	−0.244919	+	1.07306i	−0.0447159	+	0.195913i
$31$	5.89791	−	2.84028i	1.05930	−	0.510130i	0.178653	−	0.983912i	$-0.442826\pi$
$31$	5.89791	−	2.84028i	1.05930	−	0.510130i	0.880642	+	0.473782i	$0.157112\pi$
$32$	0.623490	+	0.781831i	0.110218	+	0.138210i
$33$	−0.346011	−	1.51597i	−0.0602327	−	0.263897i
$34$	−2.81407	−	3.52873i	−0.482608	−	0.605172i
$35$	−0.364080	+	1.59514i	−0.0615408	+	0.269628i
$36$	−1.78856			−0.298093
$37$	2.34985			0.386314			0.193157	−	0.981168i	$-0.438127\pi$
$37$	2.34985			0.386314			0.193157	+	0.981168i	$0.438127\pi$
$38$	−1.03391	+	4.52986i	−0.167723	+	0.734840i
$39$	−1.23658	+	1.55062i	−0.198011	+	0.248297i
$40$	−0.900969	−	0.433884i	−0.142456	−	0.0686030i
$41$	10.9567	−	5.27646i	1.71115	−	0.824044i	0.719585	−	0.694405i	$-0.244332\pi$
$41$	10.9567	−	5.27646i	1.71115	−	0.824044i	0.991561	−	0.129640i	$-0.0413821\pi$
$42$	1.80085			0.277877
$43$	5.17805	+	4.02341i	0.789645	+	0.613564i
$43$	5.17805	+	4.02341i	0.789645	+	0.613564i
$44$	1.41276			0.212981
$45$	1.61143	−	0.776025i	0.240218	−	0.115683i
$46$	−0.599031	−	0.288478i	−0.0883223	−	0.0425338i
$47$	−3.02858	+	3.79772i	−0.441764	+	0.553954i	−0.952007	−	0.306076i	$-0.900984\pi$
$47$	−3.02858	+	3.79772i	−0.441764	+	0.553954i	0.510243	+	0.860030i	$0.329555\pi$
$48$	−0.244919	+	1.07306i	−0.0353510	+	0.154883i
$49$	−4.32298			−0.617568
$50$	1.00000			0.141421
$51$	1.10542	−	4.84316i	0.154790	−	0.678178i
$52$	−1.12349	−	1.40881i	−0.155800	−	0.195367i
$53$	−0.561529	−	2.46022i	−0.0771319	−	0.337937i	0.921608	−	0.388122i	$-0.126876\pi$
$53$	−0.561529	−	2.46022i	−0.0771319	−	0.337937i	−0.998740	+	0.0501849i	$0.984019\pi$
$54$	−3.28614	−	4.12068i	−0.447187	−	0.560754i
$55$	−1.27285	+	0.612972i	−0.171631	+	0.0826531i
$56$	−0.364080	+	1.59514i	−0.0486523	+	0.213159i
$57$	−4.60759	+	2.21890i	−0.610290	+	0.293900i
$58$	−6.39395	+	8.01776i	−0.839567	+	1.05278i
$59$	1.55106	+	6.79565i	0.201931	+	0.884719i	0.969759	+	0.244063i	$0.0784803\pi$
$59$	1.55106	+	6.79565i	0.201931	+	0.884719i	−0.767828	+	0.640656i	$0.778663\pi$
$60$	−0.244919	−	1.07306i	−0.0316189	−	0.138531i
$61$	−3.66747	−	1.76616i	−0.469572	−	0.226134i	0.184107	−	0.982906i	$-0.441061\pi$
$61$	−3.66747	−	1.76616i	−0.469572	−	0.226134i	−0.653678	+	0.756772i	$0.726775\pi$
$62$	−4.08148	+	5.11801i	−0.518348	+	0.649988i
$63$	−1.82456	−	2.28793i	−0.229873	−	0.288252i
$64$	−0.900969	−	0.433884i	−0.112621	−	0.0542355i
$65$	1.62349	+	0.781831i	0.201369	+	0.0969743i
$66$	0.969501	+	1.21572i	0.119337	+	0.149644i
$67$	−5.45014	+	6.83427i	−0.665841	+	0.834938i	−0.993965	−	0.109696i	$-0.965012\pi$
$67$	−5.45014	+	6.83427i	−0.665841	+	0.834938i	0.328124	+	0.944635i	$0.393584\pi$
$68$	4.06644	+	1.95830i	0.493129	+	0.237478i
$69$	−0.162840	−	0.713450i	−0.0196037	−	0.0858893i
$70$	−0.364080	−	1.59514i	−0.0435159	−	0.190656i
$71$	−4.02423	+	5.04622i	−0.477588	+	0.598877i	−0.961011	−	0.276510i	$-0.910822\pi$
$71$	−4.02423	+	5.04622i	−0.477588	+	0.598877i	0.483423	+	0.875387i	$0.339393\pi$
$72$	1.61143	−	0.776025i	0.189909	−	0.0914555i
$73$	3.55613	−	15.5804i	0.416214	−	1.82355i	−0.137072	−	0.990561i	$-0.543769\pi$
$73$	3.55613	−	15.5804i	0.416214	−	1.82355i	0.553286	−	0.832991i	$-0.313374\pi$
$74$	−2.11715	+	1.01956i	−0.246113	+	0.118522i
$75$	0.686248	+	0.860528i	0.0792411	+	0.0993652i
$76$	−1.03391	−	4.52986i	−0.118598	−	0.519611i
$77$	1.44119	+	1.80720i	0.164239	+	0.205950i
$78$	0.441329	−	1.93359i	0.0499706	−	0.218936i
$79$	3.26865			0.367752			0.183876	−	0.982949i	$-0.441136\pi$
$79$	3.26865			0.367752			0.183876	+	0.982949i	$0.441136\pi$
$80$	1.00000			0.111803
$81$	0.0968850	−	0.424481i	0.0107650	−	0.0471646i
$82$	−7.58226	+	9.50785i	−0.837320	+	1.04997i
$83$	0.418795	+	0.201681i	0.0459687	+	0.0221374i	0.456727	−	0.889607i	$-0.349022\pi$
$83$	0.418795	+	0.201681i	0.0459687	+	0.0221374i	−0.410758	+	0.911744i	$0.634736\pi$
$84$	−1.62251	+	0.781360i	−0.177030	+	0.0852534i
$85$	−4.51341			−0.489548
$86$	−6.41095	−	1.37830i	−0.691311	−	0.148626i
$87$	−11.2873			−1.21013
$88$	−1.27285	+	0.612972i	−0.135686	+	0.0653430i
$89$	−15.8294	−	7.62302i	−1.67791	−	0.808039i	−0.997143	−	0.0755383i	$-0.975932\pi$
$89$	−15.8294	−	7.62302i	−1.67791	−	0.808039i	−0.680767	−	0.732500i	$-0.738353\pi$
$90$	−1.11515	+	1.39835i	−0.117547	+	0.147399i
$91$	0.656050	−	2.87434i	0.0687727	−	0.301313i
$92$	0.664874			0.0693179
$93$	−7.20509			−0.747133
$94$	1.08089	−	4.73568i	0.111485	−	0.488448i
$95$	2.89695	+	3.63267i	0.297221	+	0.372704i
$96$	−0.244919	−	1.07306i	−0.0249969	−	0.109519i
$97$	−1.02721	−	1.28809i	−0.104298	−	0.130785i	0.726943	−	0.686698i	$-0.240940\pi$
$97$	−1.02721	−	1.28809i	−0.104298	−	0.130785i	−0.831241	+	0.555912i	$0.812369\pi$
$98$	3.89487	−	1.87567i	0.393441	−	0.189471i
$99$	0.562264	−	2.46344i	0.0565097	−	0.247585i
$100$	−0.900969	+	0.433884i	−0.0900969	+	0.0433884i
$101$	−6.25048	+	7.83785i	−0.621946	+	0.779895i	−0.988617	−	0.150455i	$-0.951926\pi$
$101$	−6.25048	+	7.83785i	−0.621946	+	0.779895i	0.366671	+	0.930351i	$0.380497\pi$
$102$	1.10542	+	4.84316i	0.109453	+	0.479545i
$103$	−0.855845	−	3.74970i	−0.0843289	−	0.369469i	0.915101	−	0.403224i	$-0.132110\pi$
$103$	−0.855845	−	3.74970i	−0.0843289	−	0.369469i	−0.999430	+	0.0337552i	$0.989253\pi$
$104$	1.62349	+	0.781831i	0.159196	+	0.0766649i
$105$	1.12281	−	1.40796i	0.109575	−	0.137403i
$106$	1.57337	+	1.97294i	0.152819	+	0.191629i
$107$	9.20229	+	4.43159i	0.889619	+	0.428418i	0.822128	−	0.569302i	$-0.192787\pi$
$107$	9.20229	+	4.43159i	0.889619	+	0.428418i	0.0674902	+	0.997720i	$0.478501\pi$
$108$	4.74860	+	2.28681i	0.456935	+	0.220048i
$109$	−2.91713	−	3.65796i	−0.279410	−	0.350369i	0.622247	−	0.782821i	$-0.286220\pi$
$109$	−2.91713	−	3.65796i	−0.279410	−	0.350369i	−0.901657	+	0.432452i	$0.857649\pi$
$110$	0.880839	−	1.10454i	0.0839847	−	0.105313i
$111$	−2.33025	−	1.12219i	−0.221177	−	0.106513i
$112$	−0.364080	−	1.59514i	−0.0344023	−	0.150727i
$113$	−1.39590	−	6.11586i	−0.131316	−	0.575332i	−0.997180	−	0.0750520i	$-0.976088\pi$
$113$	−1.39590	−	6.11586i	−0.131316	−	0.575332i	0.865864	−	0.500280i	$-0.166769\pi$
$114$	3.18855	−	3.99832i	0.298635	−	0.374477i
$115$	−0.599031	+	0.288478i	−0.0558599	+	0.0269007i
$116$	2.28197	−	9.99798i	0.211876	−	0.928289i
$117$	−2.90370	+	1.39835i	−0.268447	+	0.129277i
$118$	−4.34598	−	5.44969i	−0.400080	−	0.501685i
$119$	1.64324	+	7.19952i	0.150636	+	0.659979i
$120$	0.686248	+	0.860528i	0.0626456	+	0.0785551i
$121$	2.00361	−	8.77837i	0.182146	−	0.798034i
$122$	4.07059			0.368534
$123$	−13.3851			−1.20689
$124$	1.45666	−	6.38206i	0.130812	−	0.573125i
$125$	0.623490	−	0.781831i	0.0557666	−	0.0699291i
$126$	2.63657	+	1.26970i	0.234884	+	0.113114i
$127$	−10.5102	+	5.06145i	−0.932630	+	0.449131i	−0.837563	−	0.546340i	$-0.816021\pi$
$127$	−10.5102	+	5.06145i	−0.932630	+	0.449131i	−0.0950664	+	0.995471i	$0.530306\pi$
$128$	1.00000			0.0883883
$129$	−3.21344	−	6.46265i	−0.282927	−	0.569005i
$130$	−1.80194			−0.158040
$131$	−13.9127	+	6.70001i	−1.21556	+	0.585383i	−0.928072	−	0.372402i	$-0.878534\pi$
$131$	−13.9127	+	6.70001i	−1.21556	+	0.585383i	−0.287488	+	0.957784i	$0.592820\pi$
$132$	−1.40097	−	0.674671i	−0.121939	−	0.0587226i
$133$	4.73989	−	5.94363i	0.411000	−	0.515378i
$134$	1.94513	−	8.52219i	0.168034	−	0.736205i
$135$	−5.27055			−0.453617
$136$	−4.51341			−0.387022
$137$	0.0157836	−	0.0691526i	0.00134849	−	0.00590810i	−0.974249	−	0.225474i	$-0.927607\pi$
$137$	0.0157836	−	0.0691526i	0.00134849	−	0.00590810i	0.975598	+	0.219566i	$0.0704641\pi$
$138$	0.456269	+	0.572143i	0.0388402	+	0.0487040i
$139$	2.90306	+	12.7191i	0.246234	+	1.07882i	0.935225	+	0.354053i	$0.115197\pi$
$139$	2.90306	+	12.7191i	0.246234	+	1.07882i	−0.688991	+	0.724770i	$0.741946\pi$
$140$	1.02013	+	1.27920i	0.0862167	+	0.108112i
$141$	4.81694	−	2.31972i	0.405659	−	0.195355i
$142$	1.43623	−	6.29254i	0.120526	−	0.528058i
$143$	2.29359	−	1.10454i	0.191800	−	0.0923660i
$144$	−1.11515	+	1.39835i	−0.0929289	+	0.116529i
$145$	2.28197	+	9.99798i	0.189508	+	0.830287i
$146$	3.55613	+	15.5804i	0.294308	+	1.28945i
$147$	4.28691	+	2.06447i	0.353578	+	0.170274i
$148$	1.46511	−	1.83719i	0.120431	−	0.151016i
$149$	8.29082	+	10.3964i	0.679210	+	0.851703i	0.995281	−	0.0970328i	$-0.0309352\pi$
$149$	8.29082	+	10.3964i	0.679210	+	0.851703i	−0.316071	+	0.948736i	$0.602364\pi$
$150$	−0.991657	−	0.477557i	−0.0809684	−	0.0389923i
$151$	−9.82701	−	4.73244i	−0.799711	−	0.385121i	−0.0110424	−	0.999939i	$-0.503515\pi$
$151$	−9.82701	−	4.73244i	−0.799711	−	0.385121i	−0.788669	+	0.614818i	$0.789229\pi$
$152$	2.89695	+	3.63267i	0.234974	+	0.294648i
$153$	5.03312	−	6.31133i	0.406903	−	0.510241i
$154$	−2.08259	−	1.00292i	−0.167820	−	0.0808177i
$155$	1.45666	+	6.38206i	0.117002	+	0.512619i
$156$	0.441329	+	1.93359i	0.0353346	+	0.154811i
$157$	2.95289	−	3.70281i	0.235666	−	0.295516i	−0.649909	−	0.760012i	$-0.725193\pi$
$157$	2.95289	−	3.70281i	0.235666	−	0.295516i	0.885575	+	0.464496i	$0.153764\pi$
$158$	−2.94495	+	1.41821i	−0.234288	+	0.112827i
$159$	−0.618050	+	2.70786i	−0.0490146	+	0.214747i
$160$	−0.900969	+	0.433884i	−0.0712278	+	0.0343015i
$161$	0.678258	+	0.850509i	0.0534542	+	0.0670295i
$162$	0.0968850	+	0.424481i	0.00761201	+	0.0333504i
$163$	−4.80560	−	6.02603i	−0.376404	−	0.471995i	0.557161	−	0.830405i	$-0.311891\pi$
$163$	−4.80560	−	6.02603i	−0.376404	−	0.471995i	−0.933565	+	0.358409i	$0.883319\pi$
$164$	2.70608	−	11.8561i	0.211309	−	0.925805i
$165$	1.55496			0.121053
$166$	−0.464827			−0.0360776
$167$	−0.340239	+	1.49068i	−0.0263285	+	0.115353i	−0.986385	−	0.164455i	$-0.947413\pi$
$167$	−0.340239	+	1.49068i	−0.0263285	+	0.115353i	0.960056	+	0.279807i	$0.0902706\pi$
$168$	1.12281	−	1.40796i	0.0866269	−	0.108627i
$169$	8.78717	+	4.23168i	0.675936	+	0.325514i
$170$	4.06644	−	1.95830i	0.311882	−	0.150194i
$171$	−8.31027			−0.635502
$172$	6.37409	−	1.53980i	0.486020	−	0.117409i
$173$	−15.7966			−1.20099			−0.600496	−	0.799628i	$-0.705030\pi$
$173$	−15.7966			−1.20099			−0.600496	+	0.799628i	$0.705030\pi$
$174$	10.1695	−	4.89739i	0.770951	−	0.371270i
$175$	−1.47413	−	0.709904i	−0.111434	−	0.0536637i
$176$	0.880839	−	1.10454i	0.0663957	−	0.0832576i
$177$	1.70719	−	7.47968i	0.128320	−	0.562207i
$178$	17.5693			1.31687
$179$	21.2149			1.58567			0.792837	−	0.609433i	$-0.208603\pi$
$179$	21.2149			1.58567			0.792837	+	0.609433i	$0.208603\pi$
$180$	0.397991	−	1.74371i	0.0296645	−	0.129969i
$181$	15.3725	+	19.2765i	1.14263	+	1.43281i	0.884399	+	0.466731i	$0.154568\pi$
$181$	15.3725	+	19.2765i	1.14263	+	1.43281i	0.258232	+	0.966083i	$0.416860\pi$
$182$	0.656050	+	2.87434i	0.0486297	+	0.213060i
$183$	2.79343	+	3.50285i	0.206496	+	0.258938i
$184$	−0.599031	+	0.288478i	−0.0441612	+	0.0212669i
$185$	−0.522892	+	2.29094i	−0.0384438	+	0.168433i
$186$	6.49157	−	3.12617i	0.475985	−	0.229222i
$187$	−3.97559	+	4.98523i	−0.290724	+	0.364556i
$188$	1.08089	+	4.73568i	0.0788318	+	0.345385i
$189$	1.91890	+	8.40727i	0.139580	+	0.611539i
$190$	−4.18622	−	2.01598i	−0.303700	−	0.146254i
$191$	0.628524	−	0.788144i	0.0454784	−	0.0570281i	−0.758572	−	0.651589i	$-0.774103\pi$
$191$	0.628524	−	0.788144i	0.0454784	−	0.0570281i	0.804051	+	0.594561i	$0.202674\pi$
$192$	0.686248	+	0.860528i	0.0495257	+	0.0621032i
$193$	2.88466	+	1.38918i	0.207642	+	0.0999953i	0.534815	−	0.844969i	$-0.320381\pi$
$193$	2.88466	+	1.38918i	0.207642	+	0.0999953i	−0.327172	+	0.944965i	$0.606096\pi$
$194$	1.48437	+	0.714834i	0.106571	+	0.0513221i
$195$	−1.23658	−	1.55062i	−0.0885530	−	0.111042i
$196$	−2.69533	+	3.37984i	−0.192524	+	0.241417i
$197$	2.40271	+	1.15708i	0.171186	+	0.0824387i	0.517514	−	0.855675i	$-0.326857\pi$
$197$	2.40271	+	1.15708i	0.171186	+	0.0824387i	−0.346329	+	0.938113i	$0.612572\pi$
$198$	0.562264	+	2.46344i	0.0399584	+	0.175069i
$199$	−3.14309	−	13.7708i	−0.222808	−	0.976184i	−0.955353	−	0.295466i	$-0.904525\pi$
$199$	−3.14309	−	13.7708i	−0.222808	−	0.976184i	0.732546	−	0.680718i	$-0.238332\pi$
$200$	0.623490	−	0.781831i	0.0440874	−	0.0552838i
$201$	8.66842	−	4.17449i	0.611423	−	0.294446i
$202$	2.23077	−	9.77364i	0.156956	−	0.687671i
$203$	15.1174	−	7.28013i	1.06103	−	0.510965i
$204$	−3.09732	−	3.88392i	−0.216856	−	0.271928i
$205$	2.70608	+	11.8561i	0.189001	+	0.828066i
$206$	2.39802	+	3.00703i	0.167078	+	0.209509i
$207$	0.264614	−	1.15935i	0.0183920	−	0.0805804i
$208$	−1.80194			−0.124942
$209$	6.56416			0.454053
$210$	−0.400727	+	1.75570i	−0.0276528	+	0.121155i
$211$	−3.32281	+	4.16668i	−0.228752	+	0.286846i	−0.882940	−	0.469486i	$-0.844439\pi$
$211$	−3.32281	+	4.16668i	−0.228752	+	0.286846i	0.654188	+	0.756332i	$0.273011\pi$
$212$	−2.27358	−	1.09490i	−0.156150	−	0.0751981i
$213$	6.40051	−	3.08232i	0.438556	−	0.211197i
$214$	−10.2138			−0.698199
$215$	−5.07476	+	4.15293i	−0.346096	+	0.283227i
$216$	−5.27055			−0.358616
$217$	9.64993	−	4.64716i	0.655080	−	0.315470i
$218$	4.21537	+	2.03002i	0.285501	+	0.137490i
$219$	−10.9670	+	13.7522i	−0.741082	+	0.929287i
$220$	−0.314368	+	1.37734i	−0.0211947	+	0.0928599i
$221$	8.13289			0.547077
$222$	2.58638			0.173587
$223$	−3.88605	+	17.0259i	−0.260229	+	1.14014i	0.660774	+	0.750585i	$0.270228\pi$
$223$	−3.88605	+	17.0259i	−0.260229	+	1.14014i	−0.921004	+	0.389554i	$0.872629\pi$
$224$	1.02013	+	1.27920i	0.0681603	+	0.0854703i
$225$	0.397991	+	1.74371i	0.0265327	+	0.116248i
$226$	3.91124	+	4.90454i	0.260172	+	0.326245i
$227$	6.94417	−	3.34413i	0.460900	−	0.221958i	−0.189000	−	0.981977i	$-0.560525\pi$
$227$	6.94417	−	3.34413i	0.460900	−	0.221958i	0.649901	+	0.760019i	$0.274810\pi$
$228$	−1.13798	+	4.98582i	−0.0753646	+	0.330194i
$229$	−13.2844	+	6.39741i	−0.877855	+	0.422753i	−0.817841	−	0.575445i	$-0.804829\pi$
$229$	−13.2844	+	6.39741i	−0.877855	+	0.422753i	−0.0600143	+	0.998198i	$0.519115\pi$
$230$	0.414542	−	0.519820i	0.0273341	−	0.0342759i
$231$	−0.566129	−	2.48038i	−0.0372486	−	0.163197i
$232$	2.28197	+	9.99798i	0.149819	+	0.656400i
$233$	−1.41083	−	0.679420i	−0.0924265	−	0.0445103i	0.387099	−	0.922038i	$-0.373477\pi$
$233$	−1.41083	−	0.679420i	−0.0924265	−	0.0445103i	−0.479526	+	0.877528i	$0.659191\pi$
$234$	2.00942	−	2.51974i	0.131360	−	0.164720i
$235$	−3.02858	−	3.79772i	−0.197563	−	0.247736i
$236$	6.28013	+	3.02435i	0.408801	+	0.196868i
$237$	−3.24138	−	1.56097i	−0.210550	−	0.101396i
$238$	−4.60427	−	5.77357i	−0.298450	−	0.374245i
$239$	8.78665	−	11.0181i	0.568361	−	0.712702i	−0.411718	−	0.911311i	$-0.635071\pi$
$239$	8.78665	−	11.0181i	0.568361	−	0.712702i	0.980079	+	0.198609i	$0.0636425\pi$
$240$	−0.991657	−	0.477557i	−0.0640112	−	0.0308262i
$241$	−1.91437	−	8.38739i	−0.123315	−	0.540279i	−0.998412	−	0.0563314i	$-0.982060\pi$
$241$	−1.91437	−	8.38739i	−0.123315	−	0.540279i	0.875097	−	0.483948i	$-0.160797\pi$
$242$	2.00361	+	8.77837i	0.128797	+	0.564295i
$243$	9.55962	−	11.9874i	0.613250	−	0.768991i
$244$	−3.66747	+	1.76616i	−0.234786	+	0.113067i
$245$	0.961952	−	4.21459i	0.0614569	−	0.269260i
$246$	12.0595	−	5.80757i	0.768888	−	0.370277i
$247$	−5.22013	−	6.54584i	−0.332149	−	0.416502i
$248$	1.45666	+	6.38206i	0.0924982	+	0.405261i
$249$	−0.318987	−	0.399997i	−0.0202150	−	0.0253487i
$250$	−0.222521	+	0.974928i	−0.0140735	+	0.0616599i
$251$	−17.7136			−1.11807			−0.559035	−	0.829144i	$-0.688828\pi$
$251$	−17.7136			−1.11807			−0.559035	+	0.829144i	$0.688828\pi$
$252$	−2.92637			−0.184344
$253$	−0.209015	+	0.915755i	−0.0131407	+	0.0575730i
$254$	7.27329	−	9.12041i	0.456367	−	0.572266i
$255$	4.47576	+	2.15541i	0.280283	+	0.134977i
$256$	−0.900969	+	0.433884i	−0.0563106	+	0.0271177i
$257$	−20.9760			−1.30845			−0.654223	−	0.756302i	$-0.727004\pi$
$257$	−20.9760			−1.30845			−0.654223	+	0.756302i	$0.727004\pi$
$258$	5.69925	+	4.42839i	0.354820	+	0.275700i
$259$	3.84474			0.238901
$260$	1.62349	−	0.781831i	0.100685	−	0.0484871i
$261$	−16.5254	−	7.95822i	−1.02290	−	0.492601i
$262$	9.62790	−	12.0730i	0.594813	−	0.745872i
$263$	1.42981	−	6.26441i	0.0881659	−	0.386280i	−0.911522	−	0.411251i	$-0.865092\pi$
$263$	1.42981	−	6.26441i	0.0881659	−	0.386280i	0.999688	+	0.0249707i	$0.00794924\pi$
$264$	1.55496			0.0957011
$265$	2.52349			0.155017
$266$	−1.69165	+	7.41158i	−0.103721	+	0.454433i
$267$	12.0569	+	15.1188i	0.737869	+	0.925258i
$268$	1.94513	+	8.52219i	0.118818	+	0.520576i
$269$	3.84078	+	4.81618i	0.234176	+	0.293648i	0.885010	−	0.465573i	$-0.154152\pi$
$269$	3.84078	+	4.81618i	0.234176	+	0.293648i	−0.650833	+	0.759221i	$0.725580\pi$
$270$	4.74860	−	2.28681i	0.288991	−	0.139171i
$271$	2.32071	−	10.1677i	0.140973	−	0.617644i	−0.854237	−	0.519884i	$-0.825975\pi$
$271$	2.32071	−	10.1677i	0.140973	−	0.617644i	0.995210	−	0.0977597i	$-0.0311677\pi$
$272$	4.06644	−	1.95830i	0.246564	−	0.118739i
$273$	−2.02324	+	2.53706i	−0.122452	+	0.153550i
$274$	0.0157836	+	0.0691526i	0.000953524	+	0.00417766i
$275$	−0.314368	−	1.37734i	−0.0189571	−	0.0830564i
$276$	−0.659327	−	0.317515i	−0.0396868	−	0.0191122i
$277$	15.3281	−	19.2208i	0.920975	−	1.15487i	−0.0666099	−	0.997779i	$-0.521218\pi$
$277$	15.3281	−	19.2208i	0.920975	−	1.15487i	0.987585	−	0.157087i	$-0.0502103\pi$
$278$	−8.13420	−	10.2000i	−0.487857	−	0.611753i
$279$	−10.5487	−	5.08000i	−0.631536	−	0.304132i
$280$	−1.47413	−	0.709904i	−0.0880962	−	0.0424249i
$281$	−7.24875	−	9.08964i	−0.432424	−	0.542243i	0.517105	−	0.855922i	$-0.327010\pi$
$281$	−7.24875	−	9.08964i	−0.432424	−	0.542243i	−0.949529	+	0.313679i	$0.898438\pi$
$282$	−3.33342	+	4.17998i	−0.198503	+	0.248914i
$283$	4.89391	+	2.35678i	0.290913	+	0.140096i	0.573648	−	0.819102i	$-0.305528\pi$
$283$	4.89391	+	2.35678i	0.290913	+	0.140096i	−0.282736	+	0.959198i	$0.591242\pi$
$284$	1.43623	+	6.29254i	0.0852246	+	0.373393i
$285$	−1.13798	−	4.98582i	−0.0674081	−	0.295334i
$286$	−1.58722	+	1.99031i	−0.0938541	+	0.117689i
$287$	17.9269	−	8.63314i	1.05819	−	0.509598i
$288$	0.397991	−	1.74371i	0.0234519	−	0.102749i
$289$	−3.03706	+	1.46257i	−0.178651	+	0.0860337i
$290$	−6.39395	−	8.01776i	−0.375466	−	0.470819i
$291$	0.403510	+	1.76789i	0.0236542	+	0.103636i
$292$	−9.96407	−	12.4945i	−0.583103	−	0.731188i
$293$	−3.57903	+	15.6808i	−0.209089	+	0.916079i	0.756085	+	0.654473i	$0.227109\pi$
$293$	−3.57903	+	15.6808i	−0.209089	+	0.916079i	−0.965175	+	0.261606i	$0.915748\pi$
$294$	−4.75811			−0.277499
$295$	−6.97042			−0.405833
$296$	−0.522892	+	2.29094i	−0.0303925	+	0.133158i
$297$	−4.64251	+	5.82152i	−0.269386	+	0.337799i
$298$	−11.9806	−	5.76954i	−0.694016	−	0.334221i
$299$	1.07942	−	0.519820i	0.0624243	−	0.0300620i
$300$	1.10066			0.0635464
$301$	8.47212	+	6.58295i	0.488325	+	0.379435i
$302$	10.9072			0.627637
$303$	9.94135	−	4.78750i	0.571116	−	0.275035i
$304$	−4.18622	−	2.01598i	−0.240096	−	0.115624i
$305$	2.53797	−	3.18251i	0.145324	−	0.182230i
$306$	−1.79630	+	7.87010i	−0.102688	+	0.449903i
$307$	20.8753			1.19142			0.595708	−	0.803201i	$-0.296872\pi$
$307$	20.8753			1.19142			0.595708	+	0.803201i	$0.296872\pi$
$308$	2.31150			0.131710
$309$	−0.941991	+	4.12713i	−0.0535880	+	0.234784i
$310$	−4.08148	−	5.11801i	−0.231812	−	0.290683i
$311$	4.42354	+	19.3808i	0.250836	+	1.09898i	0.930740	+	0.365682i	$0.119164\pi$
$311$	4.42354	+	19.3808i	0.250836	+	1.09898i	−0.679904	+	0.733301i	$0.737979\pi$
$312$	−1.23658	−	1.55062i	−0.0700073	−	0.0877864i
$313$	−21.9723	+	10.5813i	−1.24195	+	0.598090i	−0.935341	−	0.353746i	$-0.884908\pi$
$313$	−21.9723	+	10.5813i	−1.24195	+	0.598090i	−0.306606	+	0.951837i	$0.599193\pi$
$314$	−1.05387	+	4.61732i	−0.0594735	+	0.260571i
$315$	2.63657	−	1.26970i	0.148554	−	0.0715397i
$316$	2.03797	−	2.55553i	0.114645	−	0.143760i
$317$	0.0116462	+	0.0510253i	0.000654115	+	0.00286587i	0.975254	−	0.221088i	$-0.0709607\pi$
$317$	0.0116462	+	0.0510253i	0.000654115	+	0.00286587i	−0.974600	+	0.223954i	$0.928104\pi$
$318$	−0.618050	−	2.70786i	−0.0346585	−	0.151849i
$319$	13.0532	+	6.28609i	0.730838	+	0.351953i
$320$	0.623490	−	0.781831i	0.0348541	−	0.0437057i
$321$	−7.00918	−	8.78923i	−0.391214	−	0.490567i
$322$	−0.980112	−	0.471997i	−0.0546195	−	0.0263034i
$323$	18.8941	+	9.09894i	1.05130	+	0.506278i
$324$	−0.271466	−	0.340407i	−0.0150814	−	0.0189115i
$325$	−1.12349	+	1.40881i	−0.0623200	+	0.0781468i
$326$	6.94429	+	3.34419i	0.384609	+	0.185218i
$327$	1.14590	+	5.02054i	0.0633687	+	0.277636i
$328$	2.70608	+	11.8561i	0.149418	+	0.654643i
$329$	−4.95525	+	6.21368i	−0.273192	+	0.342571i
$330$	−1.40097	+	0.674671i	−0.0771208	+	0.0371394i
$331$	2.27850	−	9.98277i	0.125238	−	0.548702i	−0.872911	−	0.487880i	$-0.837770\pi$
$331$	2.27850	−	9.98277i	0.125238	−	0.548702i	0.998149	−	0.0608227i	$-0.0193724\pi$
$332$	0.418795	−	0.201681i	0.0229843	−	0.0110687i
$333$	−2.62043	−	3.28592i	−0.143599	−	0.180067i
$334$	−0.340239	−	1.49068i	−0.0186170	−	0.0815666i
$335$	−5.45014	−	6.83427i	−0.297773	−	0.373396i
$336$	−0.400727	+	1.75570i	−0.0218615	+	0.0957813i
$337$	4.94966			0.269625			0.134813	−	0.990871i	$-0.456957\pi$
$337$	4.94966			0.269625			0.134813	+	0.990871i	$0.456957\pi$
$338$	−9.75302			−0.530494
$339$	−1.53641	+	6.73146i	−0.0834464	+	0.365603i
$340$	−2.81407	+	3.52873i	−0.152614	+	0.191372i
$341$	8.33230	+	4.01262i	0.451219	+	0.217296i
$342$	7.48729	−	3.60569i	0.404866	−	0.194973i
$343$	−18.5262			−1.00032
$344$	−5.07476	+	4.15293i	−0.273613	+	0.223911i
$345$	0.731798			0.0393987
$346$	14.2322	−	6.85388i	0.765130	−	0.368467i
$347$	−31.9206	−	15.3722i	−1.71359	−	0.825222i	−0.990987	−	0.133959i	$-0.957231\pi$
$347$	−31.9206	−	15.3722i	−1.71359	−	0.825222i	−0.722603	−	0.691263i	$-0.757055\pi$
$348$	−7.03754	+	8.82479i	−0.377252	+	0.473059i
$349$	0.742510	−	3.25315i	0.0397457	−	0.174137i	−0.951159	−	0.308700i	$-0.900106\pi$
$349$	0.742510	−	3.25315i	0.0397457	−	0.174137i	0.990905	+	0.134563i	$0.0429631\pi$
$350$	1.63616			0.0874565
$351$	9.49721			0.506924
$352$	−0.314368	+	1.37734i	−0.0167559	+	0.0734122i
$353$	−7.33945	−	9.20338i	−0.390640	−	0.489847i	0.547158	−	0.837030i	$-0.315710\pi$
$353$	−7.33945	−	9.20338i	−0.390640	−	0.489847i	−0.937797	+	0.347183i	$0.887138\pi$
$354$	1.70719	+	7.47968i	0.0907360	+	0.397540i
$355$	−4.02423	−	5.04622i	−0.213584	−	0.267826i
$356$	−15.8294	+	7.62302i	−0.838955	+	0.404019i
$357$	1.80865	−	7.92420i	0.0957237	−	0.419393i
$358$	−19.1139	+	9.20479i	−1.01020	+	0.486488i
$359$	−5.59390	+	7.01453i	−0.295235	+	0.370213i	−0.907220	−	0.420656i	$-0.861800\pi$
$359$	−5.59390	+	7.01453i	−0.295235	+	0.370213i	0.611985	+	0.790869i	$0.290371\pi$
$360$	0.397991	+	1.74371i	0.0209760	+	0.0919018i
$361$	−0.576019	−	2.52370i	−0.0303168	−	0.132826i
$362$	−22.2139	−	10.6977i	−1.16754	−	0.562257i
$363$	−6.17906	+	7.74829i	−0.324316	+	0.406680i
$364$	−1.83821	−	2.30504i	−0.0963484	−	0.120817i
$365$	14.3985	+	6.93395i	0.753652	+	0.362939i
$366$	−4.03663	−	1.94394i	−0.210998	−	0.101611i
$367$	−3.63782	−	4.56169i	−0.189893	−	0.238118i	0.677767	−	0.735277i	$-0.262948\pi$
$367$	−3.63782	−	4.56169i	−0.189893	−	0.238118i	−0.867659	+	0.497159i	$0.834377\pi$
$368$	0.414542	−	0.519820i	0.0216095	−	0.0270975i
$369$	−19.5966	−	9.43724i	−1.02016	−	0.491283i
$370$	−0.522892	−	2.29094i	−0.0271838	−	0.119100i
$371$	−0.918752	−	4.02532i	−0.0476992	−	0.208984i
$372$	−4.49230	+	5.63317i	−0.232915	+	0.292066i
$373$	0.741930	−	0.357295i	0.0384157	−	0.0185000i	−0.414577	−	0.910014i	$-0.636071\pi$
$373$	0.741930	−	0.357295i	0.0384157	−	0.0185000i	0.452993	+	0.891514i	$0.350356\pi$
$374$	1.41887	−	6.21648i	0.0733681	−	0.321447i
$375$	−0.991657	+	0.477557i	−0.0512089	+	0.0246609i
$376$	−3.02858	−	3.79772i	−0.156187	−	0.195852i
$377$	−4.11198	−	18.0157i	−0.211777	−	0.927858i
$378$	−5.37665	−	6.74211i	−0.276545	−	0.346777i
$379$	−1.12332	+	4.92160i	−0.0577013	+	0.252806i	−0.995550	−	0.0942399i	$-0.969958\pi$
$379$	−1.12332	+	4.92160i	−0.0577013	+	0.252806i	0.937848	+	0.347046i	$0.112815\pi$
$380$	4.64635			0.238353
$381$	12.8396			0.657795
$382$	−0.224318	+	0.982800i	−0.0114771	+	0.0502844i
$383$	−16.6460	+	20.8735i	−0.850573	+	1.06658i	0.146430	+	0.989221i	$0.453222\pi$
$383$	−16.6460	+	20.8735i	−0.850573	+	1.06658i	−0.997003	+	0.0773638i	$0.975350\pi$
$384$	−0.991657	−	0.477557i	−0.0506053	−	0.0243702i
$385$	−2.08259	+	1.00292i	−0.106138	+	0.0511136i
$386$	−3.20173			−0.162964
$387$	−0.148146	−	11.7274i	−0.00753070	−	0.596138i
$388$	−1.64752			−0.0836404
$389$	17.3500	−	8.35531i	0.879679	−	0.423631i	0.0611715	−	0.998127i	$-0.480516\pi$
$389$	17.3500	−	8.35531i	0.879679	−	0.423631i	0.818507	+	0.574496i	$0.194802\pi$
$390$	1.78690	+	0.860528i	0.0904834	+	0.0435745i
$391$	−1.87100	+	2.34616i	−0.0946206	+	0.118650i
$392$	0.961952	−	4.21459i	0.0485859	−	0.212869i
$393$	16.9963			0.857348
$394$	−2.66680			−0.134352
$395$	−0.727343	+	3.18670i	−0.0365966	+	0.160340i
$396$	−1.57543	−	1.97553i	−0.0791683	−	0.0992739i
$397$	−1.62873	−	7.13592i	−0.0817435	−	0.358142i	0.917470	−	0.397806i	$-0.130228\pi$
$397$	−1.62873	−	7.13592i	−0.0817435	−	0.358142i	−0.999213	+	0.0396644i	$0.987371\pi$
$398$	8.80674	+	11.0433i	0.441442	+	0.553551i
$399$	−7.53876	+	3.63048i	−0.377410	+	0.181751i
$400$	−0.222521	+	0.974928i	−0.0111260	+	0.0487464i
$401$	−23.3612	+	11.2501i	−1.16660	+	0.561806i	−0.913980	−	0.405760i	$-0.867007\pi$
$401$	−23.3612	+	11.2501i	−1.16660	+	0.561806i	−0.252621	+	0.967565i	$0.581293\pi$
$402$	−5.99873	+	7.52218i	−0.299190	+	0.375172i
$403$	−2.62481	−	11.5001i	−0.130751	−	0.572859i
$404$	2.23077	+	9.77364i	0.110985	+	0.486257i
$405$	0.392280	+	0.188912i	0.0194925	+	0.00938711i
$406$	−10.4615	+	13.1183i	−0.519197	+	0.651053i
$407$	2.06984	+	2.59550i	0.102598	+	0.128654i
$408$	4.47576	+	2.15541i	0.221583	+	0.106709i
$409$	−6.52682	−	3.14315i	−0.322730	−	0.155419i	0.265503	−	0.964110i	$-0.414462\pi$
$409$	−6.52682	−	3.14315i	−0.322730	−	0.155419i	−0.588233	+	0.808691i	$0.700176\pi$
$410$	−7.58226	−	9.50785i	−0.374461	−	0.469559i
$411$	−0.0486762	+	0.0610380i	−0.00240102	+	0.00301078i
$412$	−3.46524	−	1.66877i	−0.170720	−	0.0822146i
$413$	2.53779	+	11.1188i	0.124877	+	0.547120i
$414$	0.264614	+	1.15935i	0.0130051	+	0.0569790i
$415$	−0.289815	+	0.363416i	−0.0142265	+	0.0178394i
$416$	1.62349	−	0.781831i	0.0795981	−	0.0383324i
$417$	3.19527	−	13.9994i	0.156473	−	0.685553i
$418$	−5.91411	+	2.84808i	−0.289268	+	0.139304i
$419$	−14.0528	−	17.6216i	−0.686523	−	0.860873i	0.309413	−	0.950928i	$-0.399867\pi$
$419$	−14.0528	−	17.6216i	−0.686523	−	0.860873i	−0.995937	+	0.0900545i	$0.971296\pi$
$420$	−0.400727	−	1.75570i	−0.0195535	−	0.0856694i
$421$	18.1746	+	22.7902i	0.885776	+	1.11073i	0.993189	+	0.116513i	$0.0371717\pi$
$421$	18.1746	+	22.7902i	0.885776	+	1.11073i	−0.107414	+	0.994214i	$0.534257\pi$
$422$	1.18590	−	5.19576i	0.0577286	−	0.252926i
$423$	8.68785			0.422418
$424$	2.52349			0.122551
$425$	1.00433	−	4.40025i	0.0487171	−	0.213444i
$426$	−4.42929	+	5.55416i	−0.214600	+	0.269100i
$427$	−6.00058	−	2.88973i	−0.290388	−	0.139844i
$428$	9.20229	−	4.43159i	0.444809	−	0.214209i
$429$	−2.80194			−0.135279
$430$	2.77031	−	5.94352i	0.133596	−	0.286622i
$431$	−39.8193			−1.91803			−0.959014	−	0.283357i	$-0.908552\pi$
$431$	−39.8193			−1.91803			−0.959014	+	0.283357i	$0.908552\pi$
$432$	4.74860	−	2.28681i	0.228467	−	0.110024i
$433$	−30.3794	−	14.6300i	−1.45994	−	0.703071i	−0.475653	−	0.879633i	$-0.657788\pi$
$433$	−30.3794	−	14.6300i	−1.45994	−	0.703071i	−0.984290	+	0.176562i	$0.943503\pi$
$434$	−6.67796	+	8.37389i	−0.320552	+	0.401960i
$435$	2.51167	−	11.0043i	0.120425	−	0.527618i
$436$	−4.67871			−0.224070
$437$	3.08924			0.147778
$438$	3.91408	−	17.1487i	0.187022	−	0.819397i
$439$	16.3901	+	20.5525i	0.782255	+	0.980916i	0.999988	+	0.00490792i	$0.00156225\pi$
$439$	16.3901	+	20.5525i	0.782255	+	0.980916i	−0.217733	+	0.976008i	$0.569866\pi$
$440$	−0.314368	−	1.37734i	−0.0149869	−	0.0656619i
$441$	4.82075	+	6.04503i	0.229560	+	0.287859i
$442$	−7.32748	+	3.52873i	−0.348533	+	0.167844i
$443$	7.36658	−	32.2751i	0.349997	−	1.53344i	−0.427188	−	0.904163i	$-0.640496\pi$
$443$	7.36658	−	32.2751i	0.349997	−	1.53344i	0.777185	−	0.629272i	$-0.216647\pi$
$444$	−2.33025	+	1.12219i	−0.110589	+	0.0532567i
$445$	10.9543	−	13.7362i	0.519282	−	0.651159i
$446$	−3.88605	−	17.0259i	−0.184010	−	0.806200i
$447$	−3.25680	−	14.2690i	−0.154041	−	0.674898i
$448$	−1.47413	−	0.709904i	−0.0696461	−	0.0335398i
$449$	−12.0173	+	15.0693i	−0.567134	+	0.711163i	−0.979859	−	0.199693i	$-0.936006\pi$
$449$	−12.0173	+	15.0693i	−0.567134	+	0.711163i	0.412725	+	0.910856i	$0.364577\pi$
$450$	−1.11515	−	1.39835i	−0.0525685	−	0.0659188i
$451$	15.4791	+	7.45435i	0.728883	+	0.351012i
$452$	−5.65190	−	2.72181i	−0.265843	−	0.128023i
$453$	7.48502	+	9.38591i	0.351677	+	0.440989i
$454$	−4.80551	+	6.02592i	−0.225534	+	0.282810i
$455$	2.65629	+	1.27920i	0.124529	+	0.0599699i
$456$	−1.13798	−	4.98582i	−0.0532908	−	0.233482i
$457$	0.633478	+	2.77545i	0.0296329	+	0.129830i	0.987581	−	0.157112i	$-0.0502184\pi$
$457$	0.633478	+	2.77545i	0.0296329	+	0.129830i	−0.957948	+	0.286942i	$0.907361\pi$
$458$	9.19306	−	11.5277i	0.429563	−	0.538655i
$459$	−21.4324	+	10.3213i	−1.00038	+	0.481757i
$460$	−0.147948	+	0.648205i	−0.00689813	+	0.0302227i
$461$	−8.41148	+	4.05075i	−0.391762	+	0.188662i	−0.619386	−	0.785087i	$-0.712618\pi$
$461$	−8.41148	+	4.05075i	−0.391762	+	0.188662i	0.227624	+	0.973749i	$0.426904\pi$
$462$	1.58626	+	1.98911i	0.0737995	+	0.0925416i
$463$	9.31689	+	40.8199i	0.432992	+	1.89706i	0.441822	+	0.897103i	$0.354332\pi$
$463$	9.31689	+	40.8199i	0.432992	+	1.89706i	−0.00882996	+	0.999961i	$0.502811\pi$
$464$	−6.39395	−	8.01776i	−0.296832	−	0.372215i
$465$	1.60328	−	7.02445i	0.0743505	−	0.325751i
$466$	1.56590			0.0725390
$467$	19.7525			0.914038			0.457019	−	0.889457i	$-0.348917\pi$
$467$	19.7525			0.914038			0.457019	+	0.889457i	$0.348917\pi$
$468$	−0.717155	+	3.14206i	−0.0331505	+	0.145242i
$469$	−8.91732	+	11.1820i	−0.411763	+	0.516335i
$470$	4.37642	+	2.10758i	0.201869	+	0.0972152i
$471$	−4.69655	+	2.26174i	−0.216406	+	0.104215i
$472$	−6.97042			−0.320839
$473$	0.117019	+	9.26332i	0.00538053	+	0.425928i
$474$	3.59766			0.165246
$475$	−4.18622	+	2.01598i	−0.192077	+	0.0924994i
$476$	6.65336	+	3.20409i	0.304956	+	0.146859i
$477$	−2.81406	+	3.52872i	−0.128847	+	0.161569i
$478$	−3.13592	+	13.7394i	−0.143434	+	0.628423i
$479$	24.8825			1.13691			0.568455	−	0.822714i	$-0.307541\pi$
$479$	24.8825			1.13691			0.568455	+	0.822714i	$0.307541\pi$
$480$	1.10066			0.0502378
$481$	0.942218	−	4.12813i	0.0429615	−	0.188226i
$482$	5.36394	+	6.72616i	0.244321	+	0.306368i
$483$	−0.266433	−	1.16732i	−0.0121231	−	0.0531149i
$484$	−5.61398	−	7.03971i	−0.255181	−	0.319987i
$485$	1.48437	−	0.714834i	0.0674017	−	0.0324589i
$486$	−3.41179	+	14.9480i	−0.154762	+	0.678056i
$487$	−5.91012	+	2.84616i	−0.267813	+	0.128972i	−0.562971	−	0.826476i	$-0.690342\pi$
$487$	−5.91012	+	2.84616i	−0.267813	+	0.128972i	0.295158	+	0.955448i	$0.404628\pi$
$488$	2.53797	−	3.18251i	0.114889	−	0.144066i
$489$	1.88773	+	8.27070i	0.0853662	+	0.374014i
$490$	0.961952	+	4.21459i	0.0434566	+	0.190396i
$491$	−7.12312	−	3.43031i	−0.321462	−	0.154808i	0.266193	−	0.963920i	$-0.414234\pi$
$491$	−7.12312	−	3.43031i	−0.321462	−	0.154808i	−0.587654	+	0.809112i	$0.699949\pi$
$492$	−8.34546	+	10.4649i	−0.376242	+	0.471793i
$493$	28.8585	+	36.1874i	1.29972	+	1.62980i
$494$	7.54331	+	3.63267i	0.339389	+	0.163441i
$495$	2.27656	+	1.09633i	0.102324	+	0.0492766i
$496$	−4.08148	−	5.11801i	−0.183264	−	0.229805i
$497$	−6.58429	+	8.25644i	−0.295346	+	0.370352i
$498$	0.460949	+	0.221981i	0.0206556	+	0.00994722i
$499$	4.52564	+	19.8281i	0.202596	+	0.887629i	0.969349	+	0.245688i	$0.0790137\pi$
$499$	4.52564	+	19.8281i	0.202596	+	0.887629i	−0.766753	+	0.641942i	$0.778129\pi$
$500$	−0.222521	−	0.974928i	−0.00995144	−	0.0436001i
$501$	1.04929	−	1.31576i	0.0468787	−	0.0587840i
$502$	15.9594	−	7.68562i	0.712301	−	0.343026i
$503$	4.16599	−	18.2524i	0.185752	−	0.813834i	−0.793071	−	0.609129i	$-0.791519\pi$
$503$	4.16599	−	18.2524i	0.185752	−	0.813834i	0.978824	−	0.204705i	$-0.0656235\pi$
$504$	2.63657	−	1.26970i	0.117442	−	0.0565571i
$505$	−6.25048	−	7.83785i	−0.278143	−	0.348780i
$506$	−0.209015	−	0.915755i	−0.00929185	−	0.0407103i
$507$	−6.69299	−	8.39274i	−0.297246	−	0.372735i
$508$	−2.59581	+	11.3730i	−0.115170	+	0.504594i
$509$	−16.5831			−0.735033			−0.367516	−	0.930017i	$-0.619792\pi$
$509$	−16.5831			−0.735033			−0.367516	+	0.930017i	$0.619792\pi$
$510$	−4.96771			−0.219974
$511$	5.81841	−	25.4921i	0.257391	−	1.12770i
$512$	0.623490	−	0.781831i	0.0275546	−	0.0345524i
$513$	22.0637	+	10.6253i	0.974136	+	0.469119i
$514$	18.8987	−	9.10114i	0.833586	−	0.401434i
$515$	3.84613			0.169481
$516$	−7.05625	−	1.51703i	−0.310634	−	0.0667836i
$517$	−6.86241			−0.301809
$518$	−3.46399	+	1.66817i	−0.152199	+	0.0732952i
$519$	15.6648	+	7.54377i	0.687608	+	0.331135i
$520$	−1.12349	+	1.40881i	−0.0492683	+	0.0617805i
$521$	2.19678	−	9.62473i	0.0962428	−	0.421667i	−0.903737	−	0.428089i	$-0.859187\pi$
$521$	2.19678	−	9.62473i	0.0962428	−	0.421667i	0.999979	+	0.00642185i	$0.00204415\pi$
$522$	18.3418			0.802800
$523$	5.74047			0.251013			0.125507	−	0.992093i	$-0.459944\pi$
$523$	5.74047			0.251013			0.125507	+	0.992093i	$0.459944\pi$
$524$	−3.43616	+	15.0548i	−0.150109	+	0.657671i
$525$	1.12281	+	1.40796i	0.0490035	+	0.0614485i
$526$	1.42981	+	6.26441i	0.0623427	+	0.273141i
$527$	18.4214	+	23.0997i	0.802448	+	1.00624i
$528$	−1.40097	+	0.674671i	−0.0609693	+	0.0293613i
$529$	5.01961	−	21.9924i	0.218244	−	0.956190i
$530$	−2.27358	+	1.09490i	−0.0987582	+	0.0475594i
$531$	7.77304	−	9.74708i	0.337321	−	0.422987i
$532$	−1.69165	−	7.41158i	−0.0733421	−	0.321333i
$533$	−4.87618	−	21.3639i	−0.211211	−	0.925375i
$534$	−17.4227	−	8.39032i	−0.753953	−	0.363085i
$535$	−6.36818	+	7.98544i	−0.275320	+	0.345241i
$536$	−5.45014	−	6.83427i	−0.235410	−	0.295195i
$537$	−21.0379	−	10.1313i	−0.907851	−	0.437198i
$538$	−5.55008	−	2.67278i	−0.239281	−	0.115232i
$539$	−3.80784	−	4.77489i	−0.164015	−	0.205669i
$540$	−3.28614	+	4.12068i	−0.141413	+	0.177326i
$541$	34.9250	+	16.8190i	1.50154	+	0.723106i	0.990636	−	0.136529i	$-0.0435948\pi$
$541$	34.9250	+	16.8190i	1.50154	+	0.723106i	0.510909	+	0.859635i	$0.329309\pi$
$542$	2.32071	+	10.1677i	0.0996831	+	0.436740i
$543$	−6.03863	−	26.4570i	−0.259142	−	1.13538i
$544$	−2.81407	+	3.52873i	−0.120652	+	0.151293i
$545$	4.21537	−	2.03002i	0.180567	−	0.0869563i
$546$	0.722085	−	3.16366i	0.0309024	−	0.135392i
$547$	39.8388	−	19.1853i	1.70338	−	0.820306i	0.710166	−	0.704034i	$-0.248620\pi$
$547$	39.8388	−	19.1853i	1.70338	−	0.820306i	0.993217	−	0.116272i	$-0.0370945\pi$
$548$	−0.0442247	−	0.0554561i	−0.00188919	−	0.00236897i
$549$	1.62006	+	7.09794i	0.0691424	+	0.302933i
$550$	0.880839	+	1.10454i	0.0375591	+	0.0470976i
$551$	10.6029	−	46.4542i	0.451697	−	1.97901i
$552$	0.731798			0.0311474
$553$	5.34804			0.227422
$554$	−5.47053	+	23.9679i	−0.232420	+	1.01830i
$555$	1.61258	−	2.02211i	0.0684503	−	0.0858340i
$556$	11.7543	+	5.66055i	0.498491	+	0.240061i
$557$	−19.7685	+	9.52001i	−0.837619	+	0.403376i	−0.802967	−	0.596024i	$-0.796746\pi$
$557$	−19.7685	+	9.52001i	−0.837619	+	0.403376i	−0.0346516	+	0.999399i	$0.511032\pi$
$558$	11.7082			0.495648
$559$	9.14440	−	7.48332i	0.386767	−	0.316511i
$560$	1.63616			0.0691404
$561$	6.32315	−	3.04507i	0.266964	−	0.128563i
$562$	10.4747	+	5.04437i	0.441850	+	0.212784i
$563$	−28.0619	+	35.1885i	−1.18267	+	1.48302i	−0.343493	+	0.939155i	$0.611610\pi$
$563$	−28.0619	+	35.1885i	−1.18267	+	1.48302i	−0.839174	+	0.543863i	$0.816961\pi$
$564$	1.18969	−	5.21235i	0.0500948	−	0.219480i
$565$	6.27314			0.263913
$566$	−5.43183			−0.228317
$567$	0.158520	−	0.694520i	0.00665720	−	0.0291671i
$568$	−4.02423	−	5.04622i	−0.168853	−	0.211735i
$569$	1.18250	+	5.18086i	0.0495728	+	0.217193i	0.993647	−	0.112540i	$-0.0358986\pi$
$569$	1.18250	+	5.18086i	0.0495728	+	0.217193i	−0.944074	+	0.329733i	$0.893041\pi$
$570$	3.18855	+	3.99832i	0.133554	+	0.167471i
$571$	7.31867	−	3.52449i	0.306277	−	0.147495i	−0.274432	−	0.961607i	$-0.588490\pi$
$571$	7.31867	−	3.52449i	0.306277	−	0.147495i	0.580709	+	0.814111i	$0.302776\pi$
$572$	0.566471	−	2.48187i	0.0236853	−	0.103772i
$573$	−0.999664	+	0.481413i	−0.0417616	+	0.0201113i
$574$	−12.4058	+	15.5564i	−0.517808	+	0.649311i
$575$	−0.147948	−	0.648205i	−0.00616988	−	0.0270320i
$576$	0.397991	+	1.74371i	0.0165830	+	0.0726547i
$577$	−23.6160	−	11.3729i	−0.983148	−	0.473459i	−0.127961	−	0.991779i	$-0.540843\pi$
$577$	−23.6160	−	11.3729i	−0.983148	−	0.473459i	−0.855187	+	0.518320i	$0.826558\pi$
$578$	2.10171	−	2.63546i	0.0874197	−	0.109621i
$579$	−2.19718	−	2.75518i	−0.0913117	−	0.114501i
$580$	9.23952	+	4.44952i	0.383650	+	0.184756i
$581$	0.685216	+	0.329983i	0.0284275	+	0.0136900i
$582$	−1.13061	−	1.41774i	−0.0468653	−	0.0587672i
$583$	2.22279	−	2.78729i	0.0920584	−	0.115438i
$584$	14.3985	+	6.93395i	0.595814	+	0.286929i
$585$	−0.717155	−	3.14206i	−0.0296507	−	0.129908i
$586$	−3.57903	−	15.6808i	−0.147848	−	0.647766i
$587$	7.23643	−	9.07419i	0.298679	−	0.374532i	−0.609733	−	0.792607i	$-0.708724\pi$
$587$	7.23643	−	9.07419i	0.298679	−	0.374532i	0.908413	+	0.418075i	$0.137295\pi$
$588$	4.28691	−	2.06447i	0.176789	−	0.0851371i
$589$	6.76817	−	29.6533i	0.278878	−	1.22184i
$590$	6.28013	−	3.02435i	0.258549	−	0.124511i
$591$	−1.83009	−	2.29486i	−0.0752797	−	0.0943978i
$592$	−0.522892	−	2.29094i	−0.0214907	−	0.0941570i
$593$	−2.66414	−	3.34073i	−0.109403	−	0.137187i	0.724115	−	0.689679i	$-0.242248\pi$
$593$	−2.66414	−	3.34073i	−0.109403	−	0.137187i	−0.833518	+	0.552492i	$0.813677\pi$
$594$	1.65689	−	7.25932i	0.0679831	−	0.297853i
$595$	−7.38467			−0.302742
$596$	13.2974			0.544684
$597$	−3.45946	+	15.1569i	−0.141586	+	0.620330i
$598$	−0.746980	+	0.936683i	−0.0305463	+	0.0383038i
$599$	11.5410	+	5.55786i	0.471553	+	0.227088i	0.654540	−	0.756027i	$-0.272862\pi$
$599$	11.5410	+	5.55786i	0.471553	+	0.227088i	−0.182987	+	0.983115i	$0.558577\pi$
$600$	−0.991657	+	0.477557i	−0.0404842	+	0.0194962i
$601$	34.4058			1.40344			0.701720	−	0.712452i	$-0.252416\pi$
$601$	34.4058			1.40344			0.701720	+	0.712452i	$0.252416\pi$
$602$	−10.4894	−	2.25512i	−0.427514	−	0.0919117i
$603$	15.6344			0.636682
$604$	−9.82701	+	4.73244i	−0.399856	+	0.192560i
$605$	8.11243	+	3.90674i	0.329817	+	0.158832i
$606$	−6.87963	+	8.62678i	−0.279466	+	0.350439i
$607$	−6.93562	+	30.3869i	−0.281508	+	1.23337i	0.614352	+	0.789032i	$0.289417\pi$
$607$	−6.93562	+	30.3869i	−0.281508	+	1.23337i	−0.895860	+	0.444336i	$0.853440\pi$
$608$	4.64635			0.188435
$609$	−18.4679			−0.748357
$610$	−0.905791	+	3.96853i	−0.0366744	+	0.160681i
$611$	5.45731	+	6.84325i	0.220779	+	0.276848i
$612$	−1.79630	−	7.87010i	−0.0726111	−	0.318130i
$613$	14.9642	+	18.7645i	0.604398	+	0.757891i	0.986056	−	0.166412i	$-0.0532183\pi$
$613$	14.9642	+	18.7645i	0.604398	+	0.757891i	−0.381658	+	0.924304i	$0.624647\pi$
$614$	−18.8080	+	9.05745i	−0.759028	+	0.365529i
$615$	2.97846	−	13.0495i	0.120103	−	0.526206i
$616$	−2.08259	+	1.00292i	−0.0839098	+	0.0404088i
$617$	30.8773	−	38.7189i	1.24307	−	1.55876i	0.559687	−	0.828704i	$-0.310921\pi$
$617$	30.8773	−	38.7189i	1.24307	−	1.55876i	0.683384	−	0.730059i	$-0.260507\pi$
$618$	−0.941991	−	4.12713i	−0.0378924	−	0.166018i
$619$	8.03819	+	35.2176i	0.323082	+	1.41551i	0.832036	+	0.554721i	$0.187175\pi$
$619$	8.03819	+	35.2176i	0.323082	+	1.41551i	−0.508954	+	0.860793i	$0.669968\pi$
$620$	5.89791	+	2.84028i	0.236866	+	0.114068i
$621$	−2.18487	+	2.73974i	−0.0876757	+	0.109942i
$622$	−12.3945	−	15.5422i	−0.496973	−	0.623185i
$623$	−25.8994	−	12.4725i	−1.03764	−	0.499700i
$624$	1.78690	+	0.860528i	0.0715334	+	0.0344487i
$625$	0.623490	+	0.781831i	0.0249396	+	0.0312733i
$626$	15.2053	−	19.0668i	0.607726	−	0.762064i
$627$	−6.50940	−	3.13476i	−0.259960	−	0.125190i
$628$	−1.05387	−	4.61732i	−0.0420541	−	0.184251i
$629$	2.36003	+	10.3399i	0.0941004	+	0.412281i
$630$	−1.82456	+	2.28793i	−0.0726922	+	0.0911532i
$631$	17.6348	−	8.49248i	0.702031	−	0.338080i	−0.0485849	−	0.998819i	$-0.515471\pi$
$631$	17.6348	−	8.49248i	0.702031	−	0.338080i	0.750616	+	0.660739i	$0.229757\pi$
$632$	−0.727343	+	3.18670i	−0.0289322	+	0.126760i
$633$	5.28492	−	2.54508i	0.210057	−	0.101158i
$634$	−0.0326319	−	0.0409191i	−0.00129598	−	0.00162511i
$635$	−2.59581	−	11.3730i	−0.103011	−	0.451323i
$636$	1.73174	+	2.17153i	0.0686679	+	0.0861068i
$637$	−1.73338	+	7.59443i	−0.0686790	+	0.300902i
$638$	−14.4879			−0.573583
$639$	11.5440			0.456673
$640$	−0.222521	+	0.974928i	−0.00879591	+	0.0385374i
$641$	−19.3683	+	24.2870i	−0.765001	+	0.959281i	−0.999919	−	0.0127344i	$-0.995946\pi$
$641$	−19.3683	+	24.2870i	−0.765001	+	0.959281i	0.234918	+	0.972015i	$0.424518\pi$
$642$	10.1286	+	4.87765i	0.399742	+	0.192506i
$643$	−13.5573	+	6.52883i	−0.534646	+	0.257472i	−0.681669	−	0.731661i	$-0.738745\pi$
$643$	−13.5573	+	6.52883i	−0.534646	+	0.257472i	0.147022	+	0.989133i	$0.453031\pi$
$644$	1.08784			0.0428670
$645$	7.01568	−	1.69479i	0.276242	−	0.0667325i
$646$	−20.9709			−0.825089
$647$	33.4686	−	16.1176i	1.31579	−	0.633650i	0.361453	−	0.932390i	$-0.382281\pi$
$647$	33.4686	−	16.1176i	1.31579	−	0.633650i	0.954334	+	0.298740i	$0.0965664\pi$
$648$	0.392280	+	0.188912i	0.0154102	+	0.00742116i
$649$	−6.13981	+	7.69908i	−0.241009	+	0.302215i
$650$	0.400969	−	1.75676i	0.0157273	−	0.0689058i
$651$	−11.7887			−0.462036
$652$	−7.70758			−0.301852
$653$	6.88729	−	30.1752i	0.269521	−	1.18085i	−0.641052	−	0.767498i	$-0.721502\pi$
$653$	6.88729	−	30.1752i	0.269521	−	1.18085i	0.910572	−	0.413349i	$-0.135641\pi$
$654$	−3.21075	−	4.02616i	−0.125550	−	0.157435i
$655$	−3.43616	−	15.0548i	−0.134262	−	0.588239i
$656$	−7.58226	−	9.50785i	−0.296037	−	0.371219i
$657$	−25.7525	+	12.4018i	−1.00470	+	0.483839i
$658$	1.76851	−	7.74833i	0.0689436	−	0.302062i
$659$	−22.3304	+	10.7537i	−0.869868	+	0.418906i	−0.814914	−	0.579583i	$-0.803216\pi$
$659$	−22.3304	+	10.7537i	−0.869868	+	0.418906i	−0.0549544	+	0.998489i	$0.517501\pi$
$660$	0.969501	−	1.21572i	0.0377378	−	0.0473217i
$661$	6.78789	+	29.7397i	0.264018	+	1.15674i	0.916849	+	0.399235i	$0.130724\pi$
$661$	6.78789	+	29.7397i	0.264018	+	1.15674i	−0.652830	+	0.757504i	$0.726419\pi$
$662$	2.27850	+	9.98277i	0.0885565	+	0.387991i
$663$	−8.06503	−	3.88392i	−0.313220	−	0.150839i
$664$	−0.289815	+	0.363416i	−0.0112470	+	0.0141033i
$665$	4.73989	+	5.94363i	0.183805	+	0.230484i
$666$	3.78663	+	1.82355i	0.146729	+	0.0706610i
$667$	6.14312	+	2.95837i	0.237863	+	0.114549i
$668$	0.953328	+	1.19544i	0.0368854	+	0.0462528i
$669$	11.9845	−	15.0280i	0.463346	−	0.581018i
$670$	7.87569	+	3.79273i	0.304264	+	0.146526i
$671$	−1.27966	−	5.60656i	−0.0494008	−	0.216439i
$672$	−0.400727	−	1.75570i	−0.0154584	−	0.0677276i
$673$	3.35210	−	4.20340i	0.129214	−	0.162029i	−0.713016	−	0.701148i	$-0.752671\pi$
$673$	3.35210	−	4.20340i	0.129214	−	0.162029i	0.842230	+	0.539119i	$0.181243\pi$
$674$	−4.45949	+	2.14758i	−0.171773	+	0.0827216i
$675$	1.17281	−	5.13841i	0.0451414	−	0.197777i
$676$	8.78717	−	4.23168i	0.337968	−	0.162757i
$677$	−27.1347	−	34.0258i	−1.04287	−	1.30772i	−0.950072	−	0.312032i	$-0.898990\pi$
$677$	−27.1347	−	34.0258i	−1.04287	−	1.30772i	−0.0927980	−	0.995685i	$-0.529581\pi$
$678$	−1.53641	−	6.73146i	−0.0590055	−	0.258520i
$679$	−1.68069	−	2.10752i	−0.0644989	−	0.0808791i
$680$	1.00433	−	4.40025i	0.0385142	−	0.168742i
$681$	−8.48324			−0.325079
$682$	−9.24816			−0.354130
$683$	2.13600	−	9.35841i	0.0817316	−	0.358090i	−0.917480	−	0.397781i	$-0.869780\pi$
$683$	2.13600	−	9.35841i	0.0817316	−	0.358090i	0.999212	+	0.0396914i	$0.0126375\pi$
$684$	−5.18137	+	6.49723i	−0.198114	+	0.248428i
$685$	0.0639066	+	0.0307758i	0.00244175	+	0.00117588i
$686$	16.6915	−	8.03822i	0.637286	−	0.306901i
$687$	16.2286			0.619161
$688$	2.77031	−	5.94352i	0.105617	−	0.226594i
$689$	−4.54717			−0.173233
$690$	−0.659327	+	0.317515i	−0.0251002	+	0.0120876i
$691$	−37.3538	−	17.9886i	−1.42101	−	0.684320i	−0.443704	−	0.896174i	$-0.646336\pi$
$691$	−37.3538	−	17.9886i	−1.42101	−	0.684320i	−0.977301	+	0.211853i	$0.932050\pi$
$692$	−9.84901	+	12.3503i	−0.374403	+	0.469487i
$693$	0.919955	−	4.03059i	0.0349462	−	0.153109i
$694$	35.4292			1.34488
$695$	−13.0462			−0.494872
$696$	2.51167	−	11.0043i	0.0952045	−	0.417118i
$697$	34.2219	+	42.9128i	1.29625	+	1.62544i
$698$	0.742510	+	3.25315i	0.0281044	+	0.123134i
$699$	1.07460	+	1.34750i	0.0406450	+	0.0509672i
$700$	−1.47413	+	0.709904i	−0.0557169	+	0.0268318i
$701$	3.36885	−	14.7599i	0.127240	−	0.557474i	−0.870613	−	0.491969i	$-0.836277\pi$
$701$	3.36885	−	14.7599i	0.127240	−	0.557474i	0.997852	−	0.0655044i	$-0.0208656\pi$
$702$	−8.55669	+	4.12068i	−0.322951	+	0.155525i
$703$	6.80742	−	8.53623i	0.256747	−	0.321950i
$704$	−0.314368	−	1.37734i	−0.0118482	−	0.0519103i
$705$	1.18969	+	5.21235i	0.0448061	+	0.196309i
$706$	10.6058	+	5.10749i	0.399155	+	0.192223i
$707$	−10.2268	+	12.8240i	−0.384618	+	0.482296i
$708$	−4.78343	−	5.99823i	−0.179772	−	0.225427i
$709$	5.42390	+	2.61201i	0.203699	+	0.0980961i	0.532952	−	0.846146i	$-0.321083\pi$
$709$	5.42390	+	2.61201i	0.203699	+	0.0980961i	−0.329253	+	0.944242i	$0.606797\pi$
$710$	5.81518	+	2.80044i	0.218240	+	0.105099i
$711$	−3.64502	−	4.57072i	−0.136699	−	0.171415i
$712$	10.9543	−	13.7362i	0.410528	−	0.514786i
$713$	3.92137	+	1.88843i	0.146856	+	0.0707223i
$714$	1.80865	+	7.92420i	0.0676869	+	0.296556i
$715$	0.566471	+	2.48187i	0.0211848	+	0.0928167i
$716$	13.2273	−	16.5865i	0.494326	−	0.619865i
$717$	−13.9751	+	6.73006i	−0.521910	+	0.251339i
$718$	1.99644	−	8.74698i	0.0745065	−	0.326434i
$719$	10.7918	−	5.19706i	0.402467	−	0.193818i	−0.221689	−	0.975117i	$-0.571157\pi$
$719$	10.7918	−	5.19706i	0.402467	−	0.193818i	0.624156	+	0.781300i	$0.285443\pi$
$720$	−1.11515	−	1.39835i	−0.0415591	−	0.0521134i
$721$	−1.40030	−	6.13512i	−0.0521499	−	0.228484i
$722$	1.61397	+	2.02385i	0.0600657	+	0.0753200i
$723$	−2.10706	+	9.23163i	−0.0783624	+	0.343328i
$724$	24.6556			0.916319
$725$	−10.2551			−0.380865
$726$	2.20528	−	9.66196i	0.0818456	−	0.358589i
$727$	4.58814	−	5.75335i	0.170165	−	0.213380i	−0.689435	−	0.724347i	$-0.742141\pi$
$727$	4.58814	−	5.75335i	0.170165	−	0.213380i	0.859600	+	0.510967i	$0.170713\pi$
$728$	2.65629	+	1.27920i	0.0984487	+	0.0474104i
$729$	−16.3814	+	7.88884i	−0.606717	+	0.292179i
$730$	−15.9811			−0.591488
$731$	−12.5036	+	26.8255i	−0.462461	+	0.992178i
$732$	4.48032			0.165597
$733$	−35.9091	+	17.2929i	−1.32633	+	0.638727i	−0.956869	−	0.290519i	$-0.906172\pi$
$733$	−35.9091	+	17.2929i	−1.32633	+	0.638727i	−0.369462	+	0.929246i	$0.620458\pi$
$734$	5.25681	+	2.53155i	0.194032	+	0.0934411i
$735$	−2.96663	+	3.72004i	−0.109426	+	0.137216i
$736$	−0.147948	+	0.648205i	−0.00545345	+	0.0238931i
$737$	−12.3494			−0.454896
$738$	21.7506			0.800652
$739$	−1.28792	+	5.64273i	−0.0473768	+	0.207571i	−0.993076	−	0.117471i	$-0.962521\pi$
$739$	−1.28792	+	5.64273i	−0.0473768	+	0.207571i	0.945700	+	0.325042i	$0.105378\pi$
$740$	1.46511	+	1.83719i	0.0538585	+	0.0675364i
$741$	2.05057	+	8.98413i	0.0753296	+	0.330040i
$742$	2.57429	+	3.22805i	0.0945050	+	0.118506i
$743$	2.12733	−	1.02447i	0.0780440	−	0.0375840i	−0.394455	−	0.918915i	$-0.629066\pi$
$743$	2.12733	−	1.02447i	0.0780440	−	0.0375840i	0.472499	+	0.881331i	$0.343352\pi$
$744$	1.60328	−	7.02445i	0.0587793	−	0.257529i
$745$	−11.9806	+	5.76954i	−0.438934	+	0.211380i
$746$	−0.513431	+	0.643823i	−0.0187981	+	0.0235720i
$747$	−0.184997	−	0.810525i	−0.00676869	−	0.0296556i
$748$	1.41887	+	6.21648i	0.0518791	+	0.227297i
$749$	15.0564	+	7.25079i	0.550150	+	0.264938i
$750$	0.686248	−	0.860528i	0.0250582	−	0.0314220i
$751$	−0.600199	−	0.752625i	−0.0219016	−	0.0274637i	0.770760	−	0.637125i	$-0.219877\pi$
$751$	−0.600199	−	0.752625i	−0.0219016	−	0.0274637i	−0.792662	+	0.609662i	$0.791305\pi$
$752$	4.37642	+	2.10758i	0.159592	+	0.0768554i
$753$	17.5658	+	8.45923i	0.640132	+	0.308271i
$754$	11.5215	+	14.4475i	0.419588	+	0.526147i
$755$	6.80051	−	8.52756i	0.247496	−	0.310350i
$756$	7.76948	+	3.74159i	0.282573	+	0.136080i
$757$	−0.673608	−	2.95127i	−0.0244827	−	0.107266i	0.961210	−	0.275817i	$-0.0889483\pi$
$757$	−0.673608	−	2.95127i	−0.0244827	−	0.107266i	−0.985693	+	0.168551i	$0.946091\pi$
$758$	−1.12332	−	4.92160i	−0.0408009	−	0.178761i
$759$	0.644596	−	0.808298i	0.0233974	−	0.0293394i
$760$	−4.18622	+	2.01598i	−0.151850	+	0.0731272i
$761$	−7.64260	+	33.4844i	−0.277044	+	1.21381i	0.624466	+	0.781052i	$0.285316\pi$
$761$	−7.64260	+	33.4844i	−0.277044	+	1.21381i	−0.901510	+	0.432757i	$0.857541\pi$
$762$	−11.5681	+	5.57091i	−0.419069	+	0.201813i
$763$	−4.77289	−	5.98502i	−0.172790	−	0.216672i
$764$	−0.224318	−	0.982800i	−0.00811553	−	0.0355564i
$765$	5.03312	+	6.31133i	0.181973	+	0.228187i
$766$	5.94090	−	26.0288i	0.214654	−	0.940459i
$767$	12.5603			0.453525
$768$	1.10066			0.0397165
$769$	−2.68563	+	11.7665i	−0.0968463	+	0.424311i	−0.999987	−	0.00503273i	$-0.998398\pi$
$769$	−2.68563	+	11.7665i	−0.0968463	+	0.424311i	0.903141	+	0.429344i	$0.141255\pi$
$770$	1.44119	−	1.80720i	0.0519370	−	0.0651270i
$771$	20.8010	+	10.0172i	0.749129	+	0.360761i
$772$	2.88466	−	1.38918i	0.103821	−	0.0499977i
$773$	−34.5806			−1.24378			−0.621889	−	0.783106i	$-0.713634\pi$
$773$	−34.5806			−1.24378			−0.621889	+	0.783106i	$0.713634\pi$
$774$	5.22181	+	10.5018i	0.187694	+	0.377478i
$775$	−6.54618			−0.235146
$776$	1.48437	−	0.714834i	0.0532857	−	0.0256610i
$777$	−3.81266	−	1.83608i	−0.136779	−	0.0658691i
$778$	−12.0066	+	15.0557i	−0.430456	+	0.539775i
$779$	12.5734	−	55.0876i	0.450488	−	1.97372i
$780$	−1.98331			−0.0710140
$781$	−9.11844			−0.326283
$782$	0.667752	−	2.92561i	0.0238788	−	0.104620i
$783$	33.6996	+	42.2580i	1.20433	+	1.51018i
$784$	0.961952	+	4.21459i	0.0343554	+	0.150521i
$785$	2.95289	+	3.70281i	0.105393	+	0.132159i
$786$	−15.3131	+	7.37441i	−0.546201	+	0.263036i
$787$	−4.40805	+	19.3129i	−0.157130	+	0.688431i	0.833575	+	0.552406i	$0.186290\pi$
$787$	−4.40805	+	19.3129i	−0.157130	+	0.688431i	−0.990705	+	0.136026i	$0.956567\pi$
$788$	2.40271	−	1.15708i	0.0855928	−	0.0412193i
$789$	−4.40949	+	5.52933i	−0.156982	+	0.196849i
$790$	−0.727343	−	3.18670i	−0.0258777	−	0.113378i
$791$	−2.28393	−	10.0065i	−0.0812071	−	0.355791i
$792$	2.27656	+	1.09633i	0.0808941	+	0.0389565i
$793$	−4.57326	+	5.73469i	−0.162401	+	0.203645i
$794$	4.56359	+	5.72256i	0.161956	+	0.203086i
$795$	−2.50243	−	1.20511i	−0.0887522	−	0.0427408i
$796$	−12.7261	−	6.12857i	−0.451065	−	0.217221i
$797$	14.0928	+	17.6718i	0.499192	+	0.625966i	0.966047	−	0.258367i	$-0.0831845\pi$
$797$	14.0928	+	17.6718i	0.499192	+	0.625966i	−0.466855	+	0.884334i	$0.654613\pi$
$798$	5.21698	−	6.54189i	0.184679	−	0.231580i
$799$	−19.7526	−	9.51235i	−0.698797	−	0.336523i
$800$	−0.222521	−	0.974928i	−0.00786730	−	0.0344689i
$801$	6.99242	+	30.6358i	0.247065	+	1.08246i
$802$	16.1664	−	20.2721i	0.570857	−	0.715831i
$803$	20.3416	−	9.79598i	0.717838	−	0.345692i
$804$	2.14092	−	9.38000i	0.0755046	−	0.330807i
$805$	−0.980112	+	0.471997i	−0.0345444	+	0.0166357i
$806$	7.35457	+	9.22234i	0.259054	+	0.324843i
$807$	−1.50873	−	6.61019i	−0.0531099	−	0.232690i
$808$	−6.25048	−	7.83785i	−0.219891	−	0.275735i
$809$	−8.62191	+	37.7750i	−0.303130	+	1.32810i	0.562243	+	0.826972i	$0.309938\pi$
$809$	−8.62191	+	37.7750i	−0.303130	+	1.32810i	−0.865373	+	0.501128i	$0.832919\pi$
$810$	−0.435397			−0.0152983
$811$	7.16202			0.251492			0.125746	−	0.992062i	$-0.459867\pi$
$811$	7.16202			0.251492			0.125746	+	0.992062i	$0.459867\pi$
$812$	3.73368	−	16.3583i	0.131026	−	0.574064i
$813$	−7.15700	+	8.97460i	−0.251007	+	0.314753i
$814$	−2.99101	−	1.44039i	−0.104835	−	0.0504858i
$815$	6.94429	−	3.34419i	0.243248	−	0.117142i
$816$	−4.96771			−0.173905
$817$	29.6163	−	7.15448i	1.03614	−	0.250303i
$818$	7.24422			0.253288
$819$	−4.75093	+	2.28793i	−0.166011	+	0.0799466i
$820$	10.9567	+	5.27646i	0.382624	+	0.184262i
$821$	2.89434	−	3.62939i	0.101013	−	0.126666i	−0.728756	−	0.684774i	$-0.759901\pi$
$821$	2.89434	−	3.62939i	0.101013	−	0.126666i	0.829769	+	0.558108i	$0.188472\pi$
$822$	0.0173723	−	0.0761132i	0.000605930	−	0.00265475i
$823$	−42.2397			−1.47238			−0.736191	−	0.676774i	$-0.763377\pi$
$823$	−42.2397			−1.47238			−0.736191	+	0.676774i	$0.763377\pi$
$824$	3.84613			0.133986
$825$	−0.346011	+	1.51597i	−0.0120465	+	0.0527794i
$826$	−7.11073	−	8.91657i	−0.247414	−	0.310247i
$827$	−9.93225	−	43.5160i	−0.345378	−	1.51320i	−0.787539	−	0.616265i	$-0.788645\pi$
$827$	−9.93225	−	43.5160i	−0.345378	−	1.51320i	0.442161	−	0.896936i	$-0.354212\pi$
$828$	−0.741432	−	0.929727i	−0.0257666	−	0.0323102i
$829$	24.9090	−	11.9955i	0.865126	−	0.416623i	0.0519561	−	0.998649i	$-0.483454\pi$
$829$	24.9090	−	11.9955i	0.865126	−	0.416623i	0.813170	+	0.582027i	$0.197740\pi$
$830$	0.103434	−	0.453173i	0.00359024	−	0.0157299i
$831$	−24.3792	+	11.7404i	−0.845706	+	0.407270i
$832$	−1.12349	+	1.40881i	−0.0389500	+	0.0488418i
$833$	−4.34169	−	19.0222i	−0.150431	−	0.659079i
$834$	3.19527	+	13.9994i	0.110643	+	0.484759i
$835$	−1.37760	−	0.663417i	−0.0476738	−	0.0229585i
$836$	4.09269	−	5.13207i	0.141549	−	0.177496i
$837$	21.5116	+	26.9747i	0.743551	+	0.932384i
$838$	20.3069	+	9.77927i	0.701489	+	0.337819i
$839$	−44.9758	−	21.6592i	−1.55274	−	0.747759i	−0.556211	−	0.831041i	$-0.687745\pi$
$839$	−44.9758	−	21.6592i	−1.55274	−	0.747759i	−0.996526	+	0.0832820i	$0.973460\pi$
$840$	1.12281	+	1.40796i	0.0387407	+	0.0485793i
$841$	47.4894	−	59.5498i	1.63756	−	2.05344i
$842$	−26.2631	−	12.6476i	−0.905085	−	0.435866i
$843$	2.84745	+	12.4755i	0.0980714	+	0.429679i
$844$	1.18590	+	5.19576i	0.0408203	+	0.178845i
$845$	−6.08091	+	7.62522i	−0.209190	+	0.262315i
$846$	−7.82748	+	3.76952i	−0.269114	+	0.129599i
$847$	3.27822	−	14.3628i	0.112641	−	0.493513i
$848$	−2.27358	+	1.09490i	−0.0780752	+	0.0375990i
$849$	−3.72758	−	4.67424i	−0.127930	−	0.160420i
$850$	1.00433	+	4.40025i	0.0344482	+	0.150927i
$851$	0.974114	+	1.22150i	0.0333922	+	0.0418725i
$852$	1.58080	−	6.92592i	0.0541572	−	0.237278i
$853$	−51.3411			−1.75789			−0.878943	−	0.476927i	$-0.841751\pi$
$853$	−51.3411			−1.75789			−0.878943	+	0.476927i	$0.841751\pi$
$854$	6.66014			0.227905
$855$	1.84921	−	8.10191i	0.0632416	−	0.277079i
$856$	−6.36818	+	7.98544i	−0.217660	+	0.272937i
$857$	−26.2422	−	12.6376i	−0.896415	−	0.431691i	−0.0718224	−	0.997417i	$-0.522881\pi$
$857$	−26.2422	−	12.6376i	−0.896415	−	0.431691i	−0.824593	+	0.565727i	$0.808596\pi$
$858$	2.52446	−	1.21572i	0.0861836	−	0.0415038i
$859$	−37.5787			−1.28217			−0.641085	−	0.767470i	$-0.721515\pi$
$859$	−37.5787			−1.28217			−0.641085	+	0.767470i	$0.721515\pi$
$860$	0.0828301	+	6.55692i	0.00282448	+	0.223589i
$861$	−21.9001			−0.746355
$862$	35.8760	−	17.2770i	1.22194	−	0.588455i
$863$	20.2826	+	9.76758i	0.690428	+	0.332492i	0.745985	−	0.665963i	$-0.231979\pi$
$863$	20.2826	+	9.76758i	0.690428	+	0.332492i	−0.0555571	+	0.998456i	$0.517693\pi$
$864$	−3.28614	+	4.12068i	−0.111797	+	0.140189i
$865$	3.51507	−	15.4005i	0.119516	−	0.523634i
$866$	33.7186			1.14581
$867$	3.71019			0.126005
$868$	2.38334	−	10.4421i	0.0808957	−	0.354427i
$869$	2.87915	+	3.61035i	0.0976686	+	0.122473i
$870$	2.51167	+	11.0043i	0.0851535	+	0.373082i
$871$	9.82082	+	12.3149i	0.332766	+	0.417275i
$872$	4.21537	−	2.03002i	0.142750	−	0.0687450i
$873$	−0.655700	+	2.87281i	−0.0221921	+	0.0972299i
$874$	−2.78331	+	1.34037i	−0.0941469	+	0.0453388i
$875$	1.02013	−	1.27920i	0.0344867	−	0.0432449i
$876$	3.91408	+	17.1487i	0.132245	+	0.579401i
$877$	7.60347	+	33.3130i	0.256751	+	1.12490i	0.924701	+	0.380693i	$0.124315\pi$
$877$	7.60347	+	33.3130i	0.256751	+	1.12490i	−0.667950	+	0.744206i	$0.732828\pi$
$878$	−23.6843	−	11.4058i	−0.799307	−	0.384926i
$879$	11.0376	−	13.8407i	0.372290	−	0.466836i
$880$	0.880839	+	1.10454i	0.0296931	+	0.0372339i
$881$	0.369882	+	0.178126i	0.0124616	+	0.00600121i	0.440104	−	0.897947i	$-0.354942\pi$
$881$	0.369882	+	0.178126i	0.0124616	+	0.00600121i	−0.427643	+	0.903948i	$0.640656\pi$
$882$	−6.96619	−	3.35474i	−0.234564	−	0.112960i
$883$	−14.7268	−	18.4668i	−0.495596	−	0.621457i	0.469634	−	0.882861i	$-0.344386\pi$
$883$	−14.7268	−	18.4668i	−0.495596	−	0.621457i	−0.965230	+	0.261404i	$0.915815\pi$
$884$	5.07077	−	6.35855i	0.170549	−	0.213861i
$885$	6.91226	+	3.32877i	0.232353	+	0.111895i
$886$	7.36658	+	32.2751i	0.247485	+	1.08430i
$887$	12.9316	+	56.6569i	0.434200	+	1.90235i	0.430986	+	0.902359i	$0.358166\pi$
$887$	12.9316	+	56.6569i	0.434200	+	1.90235i	0.00321413	+	0.999995i	$0.498977\pi$
$888$	1.61258	−	2.02211i	0.0541147	−	0.0678577i
$889$	−17.1964	+	8.28135i	−0.576749	+	0.277747i
$890$	−3.90953	+	17.1288i	−0.131048	+	0.574158i
$891$	0.554195	−	0.266886i	0.0185662	−	0.00894103i
$892$	10.8885	+	13.6537i	0.364573	+	0.457160i
$893$	5.02219	+	22.0036i	0.168061	+	0.736324i
$894$	9.12534	+	11.4428i	0.305197	+	0.382705i
$895$	−4.72075	+	20.6830i	−0.157797	+	0.691356i
$896$	1.63616			0.0546603
$897$	−1.31865			−0.0440286
$898$	4.28894	−	18.7911i	0.143124	−	0.627067i
$899$	41.8560	−	52.4857i	1.39597	−	1.75050i
$900$	1.61143	+	0.776025i	0.0537145	+	0.0258675i
$901$	10.2616	−	4.94174i	0.341864	−	0.164633i
$902$	−17.1805			−0.572049
$903$	−5.25770	−	10.5739i	−0.174965	−	0.351879i
$904$	6.27314			0.208642
$905$	−22.2139	+	10.6977i	−0.738417	+	0.355603i
$906$	−10.8162	−	5.20879i	−0.359343	−	0.173050i
$907$	−27.6635	+	34.6890i	−0.918552	+	1.15183i	0.0694803	+	0.997583i	$0.477866\pi$
$907$	−27.6635	+	34.6890i	−0.918552	+	1.15183i	−0.988033	+	0.154245i	$0.950706\pi$
$908$	1.71507	−	7.51420i	0.0569165	−	0.249367i
$909$	17.9303			0.594709
$910$	−2.94826			−0.0977339
$911$	−10.0169	+	43.8870i	−0.331875	+	1.45404i	0.483621	+	0.875278i	$0.339321\pi$
$911$	−10.0169	+	43.8870i	−0.331875	+	1.45404i	−0.815496	+	0.578763i	$0.803536\pi$
$912$	3.18855	+	3.99832i	0.105583	+	0.132397i
$913$	0.146127	+	0.640223i	0.00483609	+	0.0211883i
$914$	−1.77497	−	2.22574i	−0.0587107	−	0.0736209i
$915$	−4.03663	+	1.94394i	−0.133447	+	0.0642646i
$916$	−3.28096	+	14.3748i	−0.108406	+	0.474958i
$917$	−22.7634	+	10.9623i	−0.751715	+	0.362007i
$918$	14.8317	−	18.5983i	0.489519	−	0.613837i
$919$	−12.9088	−	56.5570i	−0.425821	−	1.86564i	−0.496331	−	0.868133i	$-0.665320\pi$
$919$	−12.9088	−	56.5570i	−0.425821	−	1.86564i	0.0705099	−	0.997511i	$-0.477537\pi$
$920$	−0.147948	−	0.648205i	−0.00487772	−	0.0213707i
$921$	−20.7011	−	9.96913i	−0.682125	−	0.328494i
$922$	5.82092	−	7.29921i	0.191702	−	0.240387i
$923$	7.25141	+	9.09298i	0.238683	+	0.299299i
$924$	−2.29221	−	1.10387i	−0.0754082	−	0.0363147i
$925$	−2.11715	−	1.01956i	−0.0696113	−	0.0335230i
$926$	−26.1053	−	32.7351i	−0.857874	−	1.07574i
$927$	−4.28900	+	5.37824i	−0.140869	+	0.176644i
$928$	9.23952	+	4.44952i	0.303302	+	0.146063i
$929$	−10.9118	−	47.8077i	−0.358005	−	1.56852i	−0.758157	−	0.652072i	$-0.773900\pi$
$929$	−10.9118	−	47.8077i	−0.358005	−	1.56852i	0.400152	−	0.916449i	$-0.368957\pi$
$930$	1.60328	+	7.02445i	0.0525738	+	0.230341i
$931$	−12.5235	+	15.7039i	−0.410440	+	0.514675i
$932$	−1.41083	+	0.679420i	−0.0462133	+	0.0222551i
$933$	4.86879	−	21.3316i	0.159397	−	0.698364i
$934$	−17.7964	+	8.57030i	−0.582317	+	0.280429i
$935$	−3.97559	−	4.98523i	−0.130016	−	0.163034i
$936$	−0.717155	−	3.14206i	−0.0234410	−	0.102702i
$937$	−30.2449	−	37.9259i	−0.988057	−	1.23898i	−0.970988	−	0.239130i	$-0.923138\pi$
$937$	−30.2449	−	37.9259i	−0.988057	−	1.23898i	−0.0170690	−	0.999854i	$-0.505433\pi$
$938$	3.18255	−	13.9437i	0.103914	−	0.455277i
$939$	26.8421			0.875960
$940$	−4.85746			−0.158433
$941$	−7.13680	+	31.2683i	−0.232653	+	1.01932i	0.714776	+	0.699353i	$0.246529\pi$
$941$	−7.13680	+	31.2683i	−0.232653	+	1.01932i	−0.947429	+	0.319966i	$0.896329\pi$
$942$	3.25011	−	4.07551i	0.105894	−	0.132787i
$943$	7.28482	+	3.50818i	0.237226	+	0.114242i
$944$	6.28013	−	3.02435i	0.204401	−	0.0984342i
$945$	−8.62348			−0.280522
$946$	−4.12463	−	8.29519i	−0.134103	−	0.269700i
$947$	−22.1106			−0.718497			−0.359248	−	0.933242i	$-0.616967\pi$
$947$	−22.1106			−0.718497			−0.359248	+	0.933242i	$0.616967\pi$
$948$	−3.24138	+	1.56097i	−0.105275	+	0.0506978i
$949$	−25.9452	−	12.4945i	−0.842216	−	0.405590i
$950$	2.89695	−	3.63267i	0.0939896	−	0.117859i
$951$	0.0128184	−	0.0561613i	0.000415667	−	0.00182115i
$952$	−7.38467			−0.239339
$953$	31.4032			1.01725			0.508625	−	0.860988i	$-0.330154\pi$
$953$	31.4032			1.01725			0.508625	+	0.860988i	$0.330154\pi$
$954$	1.00433	−	4.40024i	0.0325163	−	0.142463i
$955$	0.628524	+	0.788144i	0.0203386	+	0.0255037i
$956$	−3.13592	−	13.7394i	−0.101423	−	0.444362i
$957$	−9.94232	−	12.4673i	−0.321390	−	0.403010i
$958$	−22.4184	+	10.7961i	−0.724304	+	0.348807i
$959$	0.0258246	−	0.113145i	0.000833918	−	0.00365364i
$960$	−0.991657	+	0.477557i	−0.0320056	+	0.0154131i
$961$	7.38991	−	9.26665i	0.238384	−	0.298924i
$962$	0.942218	+	4.12813i	0.0303783	+	0.133096i
$963$	−4.06499	−	17.8099i	−0.130992	−	0.573915i
$964$	−7.75111	−	3.73274i	−0.249646	−	0.120223i
$965$	−1.99625	+	2.50321i	−0.0642615	+	0.0805813i
$966$	0.746529	+	0.936118i	0.0240192	+	0.0301191i
$967$	10.7613	+	5.18235i	0.346059	+	0.166653i	0.598836	−	0.800871i	$-0.295630\pi$
$967$	10.7613	+	5.18235i	0.346059	+	0.166653i	−0.252778	+	0.967524i	$0.581344\pi$
$968$	8.11243	+	3.90674i	0.260743	+	0.125567i
$969$	−14.3912	−	18.0460i	−0.462313	−	0.579722i
$970$	−1.02721	+	1.28809i	−0.0329819	+	0.0413580i
$971$	−38.1266	−	18.3608i	−1.22354	−	0.589226i	−0.293245	−	0.956037i	$-0.594735\pi$
$971$	−38.1266	−	18.3608i	−1.22354	−	0.589226i	−0.930295	+	0.366811i	$0.880450\pi$
$972$	−3.41179	−	14.9480i	−0.109433	−	0.479458i
$973$	4.74988	+	20.8106i	0.152274	+	0.667156i
$974$	4.08993	−	5.12861i	0.131050	−	0.164331i
$975$	1.78690	−	0.860528i	0.0572267	−	0.0275589i
$976$	−0.905791	+	3.96853i	−0.0289937	+	0.127030i
$977$	−22.9852	+	11.0691i	−0.735361	+	0.354131i	−0.763790	−	0.645465i	$-0.776664\pi$
$977$	−22.9852	+	11.0691i	−0.735361	+	0.354131i	0.0284291	+	0.999596i	$0.490950\pi$
$978$	−5.28931	−	6.63259i	−0.169134	−	0.212087i
$979$	−5.52321	−	24.1988i	−0.176523	−	0.773396i
$980$	−2.69533	−	3.37984i	−0.0860992	−	0.107965i
$981$	−1.86209	+	8.15833i	−0.0594518	+	0.260475i
$982$	7.90606			0.252293
$983$	38.6512			1.23278			0.616392	−	0.787440i	$-0.288594\pi$
$983$	38.6512			1.23278			0.616392	+	0.787440i	$0.288594\pi$
$984$	2.97846	−	13.0495i	0.0949498	−	0.416002i
$985$	−1.66272	+	2.08499i	−0.0529788	+	0.0664333i
$986$	−41.7018	−	20.0825i	−1.32806	−	0.639558i
$987$	7.88129	−	3.79543i	0.250864	−	0.120810i
$988$	−8.37244			−0.266363
$989$	0.0550716	+	4.35953i	0.00175118	+	0.138625i
$990$	−2.52679			−0.0803068
$991$	23.5632	−	11.3474i	0.748509	−	0.360463i	−0.0204245	−	0.999791i	$-0.506502\pi$
$991$	23.5632	−	11.3474i	0.748509	−	0.360463i	0.768934	+	0.639328i	$0.220787\pi$
$992$	5.89791	+	2.84028i	0.187259	+	0.0901790i
$993$	−7.02683	+	8.81137i	−0.222990	+	0.279620i
$994$	2.34991	−	10.2956i	0.0745345	−	0.326557i
$995$	14.1249			0.447790
$996$	−0.511615			−0.0162111
$997$	−13.2914	+	58.2336i	−0.420944	+	1.84428i	0.105987	+	0.994368i	$0.466200\pi$
$997$	−13.2914	+	58.2336i	−0.420944	+	1.84428i	−0.526931	+	0.849908i	$0.676657\pi$
$998$	−12.6806	−	15.9009i	−0.401396	−	0.503335i
$999$	2.75593	+	12.0745i	0.0871937	+	0.382021i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.a.41.1	yes	12
43.21	even	7	inner	430.2.k.a.21.1	✓	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.a.21.1	✓	12	43.21	even	7	inner
430.2.k.a.41.1	yes	12	1.1	even	1	trivial

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)

\(f(q)\)	\(=\)	\(q+(-0.900969 + 0.433884i) q^{2} +(-0.991657 - 0.477557i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} +1.10066 q^{6} +1.63616 q^{7} +(-0.222521 + 0.974928i) q^{8} +(-1.11515 - 1.39835i) q^{9} +O(q^{10})\)	\(q+(-0.900969 + 0.433884i) q^{2} +(-0.991657 - 0.477557i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} +1.10066 q^{6} +1.63616 q^{7} +(-0.222521 + 0.974928i) q^{8} +(-1.11515 - 1.39835i) q^{9} +(-0.222521 - 0.974928i) q^{10} +(0.880839 + 1.10454i) q^{11} +(-0.991657 + 0.477557i) q^{12} +(0.400969 - 1.75676i) q^{13} +(-1.47413 + 0.709904i) q^{14} +(0.686248 - 0.860528i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(1.00433 + 4.40025i) q^{17} +(1.61143 + 0.776025i) q^{18} +(2.89695 - 3.63267i) q^{19} +(0.623490 + 0.781831i) q^{20} +(-1.62251 - 0.781360i) q^{21} +(-1.27285 - 0.612972i) q^{22} +(0.414542 + 0.519820i) q^{23} +(0.686248 - 0.860528i) q^{24} +(-0.900969 - 0.433884i) q^{25} +(0.400969 + 1.75676i) q^{26} +(1.17281 + 5.13841i) q^{27} +(1.02013 - 1.27920i) q^{28} +(9.23952 - 4.44952i) q^{29} +(-0.244919 + 1.07306i) q^{30} +(5.89791 - 2.84028i) q^{31} +(0.623490 + 0.781831i) q^{32} +(-0.346011 - 1.51597i) q^{33} +(-2.81407 - 3.52873i) q^{34} +(-0.364080 + 1.59514i) q^{35} -1.78856 q^{36} +2.34985 q^{37} +(-1.03391 + 4.52986i) q^{38} +(-1.23658 + 1.55062i) q^{39} +(-0.900969 - 0.433884i) q^{40} +(10.9567 - 5.27646i) q^{41} +1.80085 q^{42} +(5.17805 + 4.02341i) q^{43} +1.41276 q^{44} +(1.61143 - 0.776025i) q^{45} +(-0.599031 - 0.288478i) q^{46} +(-3.02858 + 3.79772i) q^{47} +(-0.244919 + 1.07306i) q^{48} -4.32298 q^{49} +1.00000 q^{50} +(1.10542 - 4.84316i) q^{51} +(-1.12349 - 1.40881i) q^{52} +(-0.561529 - 2.46022i) q^{53} +(-3.28614 - 4.12068i) q^{54} +(-1.27285 + 0.612972i) q^{55} +(-0.364080 + 1.59514i) q^{56} +(-4.60759 + 2.21890i) q^{57} +(-6.39395 + 8.01776i) q^{58} +(1.55106 + 6.79565i) q^{59} +(-0.244919 - 1.07306i) q^{60} +(-3.66747 - 1.76616i) q^{61} +(-4.08148 + 5.11801i) q^{62} +(-1.82456 - 2.28793i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(1.62349 + 0.781831i) q^{65} +(0.969501 + 1.21572i) q^{66} +(-5.45014 + 6.83427i) q^{67} +(4.06644 + 1.95830i) q^{68} +(-0.162840 - 0.713450i) q^{69} +(-0.364080 - 1.59514i) q^{70} +(-4.02423 + 5.04622i) q^{71} +(1.61143 - 0.776025i) q^{72} +(3.55613 - 15.5804i) q^{73} +(-2.11715 + 1.01956i) q^{74} +(0.686248 + 0.860528i) q^{75} +(-1.03391 - 4.52986i) q^{76} +(1.44119 + 1.80720i) q^{77} +(0.441329 - 1.93359i) q^{78} +3.26865 q^{79} +1.00000 q^{80} +(0.0968850 - 0.424481i) q^{81} +(-7.58226 + 9.50785i) q^{82} +(0.418795 + 0.201681i) q^{83} +(-1.62251 + 0.781360i) q^{84} -4.51341 q^{85} +(-6.41095 - 1.37830i) q^{86} -11.2873 q^{87} +(-1.27285 + 0.612972i) q^{88} +(-15.8294 - 7.62302i) q^{89} +(-1.11515 + 1.39835i) q^{90} +(0.656050 - 2.87434i) q^{91} +0.664874 q^{92} -7.20509 q^{93} +(1.08089 - 4.73568i) q^{94} +(2.89695 + 3.63267i) q^{95} +(-0.244919 - 1.07306i) q^{96} +(-1.02721 - 1.28809i) q^{97} +(3.89487 - 1.87567i) q^{98} +(0.562264 - 2.46344i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q - 2 q^{2} - q^{3} - 2 q^{4} - 2 q^{5} - 8 q^{6} + 4 q^{7} - 2 q^{8} + 7 q^{9}+O(q^{10}) \) 12 * q - 2 * q^2 - q^3 - 2 * q^4 - 2 * q^5 - 8 * q^6 + 4 * q^7 - 2 * q^8 + 7 * q^9	\( 12 q - 2 q^{2} - q^{3} - 2 q^{4} - 2 q^{5} - 8 q^{6} + 4 q^{7} - 2 q^{8} + 7 q^{9} - 2 q^{10} + 3 q^{11} - q^{12} - 4 q^{13} - 10 q^{14} - q^{15} - 2 q^{16} - 5 q^{17} - 2 q^{19} - 2 q^{20} + 22 q^{21} - 4 q^{22} - 16 q^{23} - q^{24} - 2 q^{25} - 4 q^{26} + 8 q^{27} + 11 q^{28} + 2 q^{29} + 6 q^{30} + 27 q^{31} - 2 q^{32} + 6 q^{33} + 2 q^{34} - 3 q^{35} - 18 q^{37} - 2 q^{38} + 5 q^{39} - 2 q^{40} + 14 q^{41} - 20 q^{42} + 14 q^{43} - 4 q^{44} - 16 q^{46} + 2 q^{47} + 6 q^{48} - 12 q^{49} + 12 q^{50} - 5 q^{51} - 4 q^{52} + 2 q^{53} - 6 q^{54} - 4 q^{55} - 3 q^{56} - 19 q^{57} + 2 q^{58} + 4 q^{59} + 6 q^{60} + 16 q^{61} - 22 q^{62} + 13 q^{63} - 2 q^{64} + 10 q^{65} - 8 q^{66} + 9 q^{67} + 9 q^{68} - 15 q^{69} - 3 q^{70} + 27 q^{71} + 28 q^{73} + 24 q^{74} - q^{75} - 2 q^{76} + 26 q^{77} + 5 q^{78} + 10 q^{79} + 12 q^{80} - 12 q^{81} + 7 q^{82} - 31 q^{83} + 22 q^{84} - 12 q^{85} - 28 q^{86} - 6 q^{87} - 4 q^{88} - 38 q^{89} + 7 q^{90} + 8 q^{91} + 12 q^{92} - 2 q^{93} - 12 q^{94} - 2 q^{95} + 6 q^{96} - 15 q^{97} - 19 q^{98} - 6 q^{99}+O(q^{100}) \) 12 * q - 2 * q^2 - q^3 - 2 * q^4 - 2 * q^5 - 8 * q^6 + 4 * q^7 - 2 * q^8 + 7 * q^9 - 2 * q^10 + 3 * q^11 - q^12 - 4 * q^13 - 10 * q^14 - q^15 - 2 * q^16 - 5 * q^17 - 2 * q^19 - 2 * q^20 + 22 * q^21 - 4 * q^22 - 16 * q^23 - q^24 - 2 * q^25 - 4 * q^26 + 8 * q^27 + 11 * q^28 + 2 * q^29 + 6 * q^30 + 27 * q^31 - 2 * q^32 + 6 * q^33 + 2 * q^34 - 3 * q^35 - 18 * q^37 - 2 * q^38 + 5 * q^39 - 2 * q^40 + 14 * q^41 - 20 * q^42 + 14 * q^43 - 4 * q^44 - 16 * q^46 + 2 * q^47 + 6 * q^48 - 12 * q^49 + 12 * q^50 - 5 * q^51 - 4 * q^52 + 2 * q^53 - 6 * q^54 - 4 * q^55 - 3 * q^56 - 19 * q^57 + 2 * q^58 + 4 * q^59 + 6 * q^60 + 16 * q^61 - 22 * q^62 + 13 * q^63 - 2 * q^64 + 10 * q^65 - 8 * q^66 + 9 * q^67 + 9 * q^68 - 15 * q^69 - 3 * q^70 + 27 * q^71 + 28 * q^73 + 24 * q^74 - q^75 - 2 * q^76 + 26 * q^77 + 5 * q^78 + 10 * q^79 + 12 * q^80 - 12 * q^81 + 7 * q^82 - 31 * q^83 + 22 * q^84 - 12 * q^85 - 28 * q^86 - 6 * q^87 - 4 * q^88 - 38 * q^89 + 7 * q^90 + 8 * q^91 + 12 * q^92 - 2 * q^93 - 12 * q^94 - 2 * q^95 + 6 * q^96 - 15 * q^97 - 19 * q^98 - 6 * q^99

Introduction

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