LMFDB - Embedded newform 670.2.k.c.131.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [670,2,Mod(81,670)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(670, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 8]))

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

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

chi := DirichletCharacter("670.81");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 670 = 2 \cdot 5 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	670.k (of order $11$, degree $10$, 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:	$5.34997693543$
Analytic rank:	$0$
Dimension:	$50$
Relative dimension:	$5$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			131.1
Character	$\chi$	$=$	670.131
Dual form			670.2.k.c.491.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.959493 + 0.281733i) q^{2} +(-0.442767 + 3.07951i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(-1.29243 + 2.83003i) q^{6} +(0.952113 + 0.279566i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-6.40889 - 1.88182i) q^{9} +O(q^{10})$	\(q+(0.959493 + 0.281733i) q^{2} +(-0.442767 + 3.07951i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(-1.29243 + 2.83003i) q^{6} +(0.952113 + 0.279566i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-6.40889 - 1.88182i) q^{9} +(0.142315 + 0.989821i) q^{10} +(0.513740 + 1.12493i) q^{11} +(-2.03739 + 2.35127i) q^{12} +(-1.87557 + 2.16452i) q^{13} +(0.834783 + 0.536483i) q^{14} +(-2.98516 + 0.876521i) q^{15} +(0.415415 + 0.909632i) q^{16} +(1.78534 - 1.14737i) q^{17} +(-5.61911 - 3.61119i) q^{18} +(0.440965 - 0.129479i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(-1.28249 + 2.80826i) q^{21} +(0.175999 + 1.22410i) q^{22} +(0.346728 - 2.41154i) q^{23} +(-2.61729 + 1.68203i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(-2.40941 + 1.54843i) q^{26} +(4.75544 - 10.4130i) q^{27} +(0.649824 + 0.749937i) q^{28} +1.15389 q^{29} -3.11118 q^{30} +(-0.121176 - 0.139844i) q^{31} +(0.142315 + 0.989821i) q^{32} +(-3.69172 + 1.08399i) q^{33} +(2.03627 - 0.597902i) q^{34} +(0.141220 + 0.982209i) q^{35} +(-4.37411 - 5.04800i) q^{36} +6.05545 q^{37} +0.459581 q^{38} +(-5.83524 - 6.73422i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(-7.00594 + 4.50244i) q^{41} +(-2.02172 + 2.33319i) q^{42} +(6.91693 - 4.44524i) q^{43} +(-0.175999 + 1.22410i) q^{44} +(-0.950586 - 6.61147i) q^{45} +(1.01209 - 2.21618i) q^{46} +(1.16104 - 8.07518i) q^{47} +(-2.98516 + 0.876521i) q^{48} +(-5.06041 - 3.25213i) q^{49} +(-0.841254 + 0.540641i) q^{50} +(2.74284 + 6.00599i) q^{51} +(-2.74806 + 0.806903i) q^{52} +(4.98124 + 3.20125i) q^{53} +(7.49649 - 8.65141i) q^{54} +(-0.809860 + 0.934628i) q^{55} +(0.412220 + 0.902636i) q^{56} +(0.203487 + 1.41529i) q^{57} +(1.10715 + 0.325087i) q^{58} +(-0.771659 - 0.890541i) q^{59} +(-2.98516 - 0.876521i) q^{60} +(-4.23071 + 9.26395i) q^{61} +(-0.0768684 - 0.168318i) q^{62} +(-5.57590 - 3.58341i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-2.74806 - 0.806903i) q^{65} -3.84757 q^{66} +(-8.07475 - 1.34103i) q^{67} +2.12223 q^{68} +(7.27287 + 2.13551i) q^{69} +(-0.141220 + 0.982209i) q^{70} +(8.89297 + 5.71516i) q^{71} +(-2.77475 - 6.07585i) q^{72} +(-0.565644 + 1.23859i) q^{73} +(5.81016 + 1.70602i) q^{74} +(-2.03739 - 2.35127i) q^{75} +(0.440965 + 0.129479i) q^{76} +(0.174646 + 1.21469i) q^{77} +(-3.70162 - 8.10542i) q^{78} +(3.86533 - 4.46083i) q^{79} +(-0.654861 + 0.755750i) q^{80} +(13.1040 + 8.42143i) q^{81} +(-7.99063 + 2.34626i) q^{82} +(5.25951 + 11.5167i) q^{83} +(-2.59716 + 1.66910i) q^{84} +(1.78534 + 1.14737i) q^{85} +(7.88912 - 2.31645i) q^{86} +(-0.510903 + 3.55341i) q^{87} +(-0.513740 + 1.12493i) q^{88} +(2.24843 + 15.6381i) q^{89} +(0.950586 - 6.61147i) q^{90} +(-2.39088 + 1.53653i) q^{91} +(1.59547 - 1.84126i) q^{92} +(0.484304 - 0.311243i) q^{93} +(3.38905 - 7.42098i) q^{94} +(0.300961 + 0.347328i) q^{95} -3.11118 q^{96} +9.56820 q^{97} +(-3.93920 - 4.54608i) q^{98} +(-1.17558 - 8.17634i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9}+O(q^{10}) $ 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9	\( 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9} + 5 q^{10} - 12 q^{11} - 2 q^{12} + 24 q^{13} + 23 q^{14} - 2 q^{15} - 5 q^{16} + 31 q^{17} + q^{18} + 4 q^{19} - 5 q^{20} + 12 q^{21} + q^{22} + 27 q^{23} - 9 q^{24} - 5 q^{25} - 2 q^{26} - 14 q^{27} + 10 q^{28} - 36 q^{29} + 2 q^{30} - 13 q^{31} + 5 q^{32} - 42 q^{33} + 2 q^{34} + 21 q^{35} - q^{36} - 50 q^{37} - 26 q^{38} - 31 q^{39} + 5 q^{40} - 10 q^{41} + 21 q^{42} + 16 q^{43} - q^{44} - q^{45} + 17 q^{46} - 13 q^{47} - 2 q^{48} - 40 q^{49} + 5 q^{50} - 19 q^{51} - 20 q^{52} - 5 q^{53} + 47 q^{54} + 10 q^{55} + 12 q^{56} - 90 q^{57} - 8 q^{58} - 20 q^{59} - 2 q^{60} + 12 q^{61} + 13 q^{62} - 15 q^{63} - 5 q^{64} - 20 q^{65} + 20 q^{66} - 21 q^{67} - 24 q^{68} + 77 q^{69} - 21 q^{70} + 24 q^{71} + 12 q^{72} - 68 q^{73} - 16 q^{74} - 2 q^{75} + 4 q^{76} + 7 q^{77} + 53 q^{78} - 26 q^{79} - 5 q^{80} - 21 q^{81} + 21 q^{82} - 10 q^{83} + 12 q^{84} + 31 q^{85} - 27 q^{86} + 61 q^{87} + 12 q^{88} + 51 q^{89} + q^{90} - 10 q^{91} - 6 q^{92} - 38 q^{93} - 9 q^{94} + 15 q^{95} + 2 q^{96} + 72 q^{97} - 37 q^{98} - 32 q^{99}+O(q^{100}) \) 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9 + 5 * q^10 - 12 * q^11 - 2 * q^12 + 24 * q^13 + 23 * q^14 - 2 * q^15 - 5 * q^16 + 31 * q^17 + q^18 + 4 * q^19 - 5 * q^20 + 12 * q^21 + q^22 + 27 * q^23 - 9 * q^24 - 5 * q^25 - 2 * q^26 - 14 * q^27 + 10 * q^28 - 36 * q^29 + 2 * q^30 - 13 * q^31 + 5 * q^32 - 42 * q^33 + 2 * q^34 + 21 * q^35 - q^36 - 50 * q^37 - 26 * q^38 - 31 * q^39 + 5 * q^40 - 10 * q^41 + 21 * q^42 + 16 * q^43 - q^44 - q^45 + 17 * q^46 - 13 * q^47 - 2 * q^48 - 40 * q^49 + 5 * q^50 - 19 * q^51 - 20 * q^52 - 5 * q^53 + 47 * q^54 + 10 * q^55 + 12 * q^56 - 90 * q^57 - 8 * q^58 - 20 * q^59 - 2 * q^60 + 12 * q^61 + 13 * q^62 - 15 * q^63 - 5 * q^64 - 20 * q^65 + 20 * q^66 - 21 * q^67 - 24 * q^68 + 77 * q^69 - 21 * q^70 + 24 * q^71 + 12 * q^72 - 68 * q^73 - 16 * q^74 - 2 * q^75 + 4 * q^76 + 7 * q^77 + 53 * q^78 - 26 * q^79 - 5 * q^80 - 21 * q^81 + 21 * q^82 - 10 * q^83 + 12 * q^84 + 31 * q^85 - 27 * q^86 + 61 * q^87 + 12 * q^88 + 51 * q^89 + q^90 - 10 * q^91 - 6 * q^92 - 38 * q^93 - 9 * q^94 + 15 * q^95 + 2 * q^96 + 72 * q^97 - 37 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/670\mathbb{Z}\right)^\times$.

$n$	$471$	$537$
$\chi(n)$	$e\left(\frac{1}{11}\right)$	$1$

Coefficient data

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

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

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

$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$3$	−0.442767	+	3.07951i	−0.255632	+	1.77796i	0.307457	+	0.951562i	$0.400522\pi$
$3$	−0.442767	+	3.07951i	−0.255632	+	1.77796i	−0.563088	+	0.826397i	$0.690387\pi$
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	0.415415	+	0.909632i	0.185779	+	0.406800i
$5$	0.415415	+	0.909632i	0.185779	+	0.406800i
$6$	−1.29243	+	2.83003i	−0.527633	+	1.15536i
$7$	0.952113	+	0.279566i	0.359865	+	0.105666i	0.456667	−	0.889638i	$-0.349043\pi$
$7$	0.952113	+	0.279566i	0.359865	+	0.105666i	−0.0968019	+	0.995304i	$0.530861\pi$
$8$	0.654861	+	0.755750i	0.231528	+	0.267198i
$9$	−6.40889	−	1.88182i	−2.13630	−	0.627273i
$10$	0.142315	+	0.989821i	0.0450039	+	0.313009i
$11$	0.513740	+	1.12493i	0.154898	+	0.339180i	0.971132	−	0.238541i	$-0.0766692\pi$
$11$	0.513740	+	1.12493i	0.154898	+	0.339180i	−0.816234	+	0.577722i	$0.803942\pi$
$12$	−2.03739	+	2.35127i	−0.588144	+	0.678755i
$13$	−1.87557	+	2.16452i	−0.520189	+	0.600330i	−0.953678	−	0.300828i	$-0.902737\pi$
$13$	−1.87557	+	2.16452i	−0.520189	+	0.600330i	0.433489	+	0.901159i	$0.357282\pi$
$14$	0.834783	+	0.536483i	0.223105	+	0.143381i
$15$	−2.98516	+	0.876521i	−0.770764	+	0.226317i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	1.78534	−	1.14737i	0.433008	−	0.278277i	−0.305926	−	0.952055i	$-0.598966\pi$
$17$	1.78534	−	1.14737i	0.433008	−	0.278277i	0.738934	+	0.673778i	$0.235330\pi$
$18$	−5.61911	−	3.61119i	−1.32444	−	0.851165i
$19$	0.440965	−	0.129479i	0.101164	−	0.0297045i	−0.230759	−	0.973011i	$-0.574121\pi$
$19$	0.440965	−	0.129479i	0.101164	−	0.0297045i	0.331923	+	0.943307i	$0.392303\pi$
$20$	−0.142315	+	0.989821i	−0.0318226	+	0.221331i
$21$	−1.28249	+	2.80826i	−0.279863	+	0.612814i
$22$	0.175999	+	1.22410i	0.0375232	+	0.260980i
$23$	0.346728	−	2.41154i	0.0722977	−	0.502842i	−0.921209	−	0.389068i	$-0.872797\pi$
$23$	0.346728	−	2.41154i	0.0722977	−	0.502842i	0.993507	−	0.113774i	$-0.0362938\pi$
$24$	−2.61729	+	1.68203i	−0.534253	+	0.343343i
$25$	−0.654861	+	0.755750i	−0.130972	+	0.151150i
$26$	−2.40941	+	1.54843i	−0.472524	+	0.303673i
$27$	4.75544	−	10.4130i	0.915186	−	2.00398i
$28$	0.649824	+	0.749937i	0.122805	+	0.141725i
$29$	1.15389			0.214271			0.107136	−	0.994244i	$-0.465832\pi$
$29$	1.15389			0.214271			0.107136	+	0.994244i	$0.465832\pi$
$30$	−3.11118			−0.568022
$31$	−0.121176	−	0.139844i	−0.0217638	−	0.0251167i	0.744763	−	0.667329i	$-0.232562\pi$
$31$	−0.121176	−	0.139844i	−0.0217638	−	0.0251167i	−0.766527	+	0.642212i	$0.778017\pi$
$32$	0.142315	+	0.989821i	0.0251579	+	0.174977i
$33$	−3.69172	+	1.08399i	−0.642645	+	0.188698i
$34$	2.03627	−	0.597902i	0.349217	−	0.102539i
$35$	0.141220	+	0.982209i	0.0238706	+	0.166024i
$36$	−4.37411	−	5.04800i	−0.729019	−	0.841333i
$37$	6.05545			0.995510			0.497755	−	0.867318i	$-0.334158\pi$
$37$	6.05545			0.995510			0.497755	+	0.867318i	$0.334158\pi$
$38$	0.459581			0.0745539
$39$	−5.83524	−	6.73422i	−0.934386	−	1.07834i
$40$	−0.415415	+	0.909632i	−0.0656829	+	0.143825i
$41$	−7.00594	+	4.50244i	−1.09414	+	0.703163i	−0.957782	−	0.287496i	$-0.907177\pi$
$41$	−7.00594	+	4.50244i	−1.09414	+	0.703163i	−0.136362	+	0.990659i	$0.543541\pi$
$42$	−2.02172	+	2.33319i	−0.311958	+	0.360019i
$43$	6.91693	−	4.44524i	1.05482	−	0.677893i	0.106213	−	0.994343i	$-0.466127\pi$
$43$	6.91693	−	4.44524i	1.05482	−	0.677893i	0.948609	+	0.316450i	$0.102491\pi$
$44$	−0.175999	+	1.22410i	−0.0265329	+	0.184540i
$45$	−0.950586	−	6.61147i	−0.141705	−	0.985579i
$46$	1.01209	−	2.21618i	0.149225	−	0.326757i
$47$	1.16104	−	8.07518i	0.169354	−	1.17789i	−0.710868	−	0.703325i	$-0.751698\pi$
$47$	1.16104	−	8.07518i	0.169354	−	1.17789i	0.880223	−	0.474561i	$-0.157393\pi$
$48$	−2.98516	+	0.876521i	−0.430870	+	0.126515i
$49$	−5.06041	−	3.25213i	−0.722916	−	0.464590i
$50$	−0.841254	+	0.540641i	−0.118971	+	0.0764582i
$51$	2.74284	+	6.00599i	0.384075	+	0.841006i
$52$	−2.74806	+	0.806903i	−0.381087	+	0.111897i
$53$	4.98124	+	3.20125i	0.684226	+	0.439726i	0.836029	−	0.548685i	$-0.184871\pi$
$53$	4.98124	+	3.20125i	0.684226	+	0.439726i	−0.151803	+	0.988411i	$0.548508\pi$
$54$	7.49649	−	8.65141i	1.02014	−	1.17731i
$55$	−0.809860	+	0.934628i	−0.109202	+	0.126025i
$56$	0.412220	+	0.902636i	0.0550852	+	0.120620i
$57$	0.203487	+	1.41529i	0.0269526	+	0.187459i
$58$	1.10715	+	0.325087i	0.145375	+	0.0426860i
$59$	−0.771659	−	0.890541i	−0.100461	−	0.115939i	0.703292	−	0.710901i	$-0.251712\pi$
$59$	−0.771659	−	0.890541i	−0.100461	−	0.115939i	−0.803754	+	0.594962i	$0.797167\pi$
$60$	−2.98516	−	0.876521i	−0.385382	−	0.113158i
$61$	−4.23071	+	9.26395i	−0.541686	+	1.18613i	0.418871	+	0.908046i	$0.362426\pi$
$61$	−4.23071	+	9.26395i	−0.541686	+	1.18613i	−0.960557	+	0.278082i	$0.910301\pi$
$62$	−0.0768684	−	0.168318i	−0.00976230	−	0.0213765i
$63$	−5.57590	−	3.58341i	−0.702497	−	0.451467i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	−2.74806	−	0.806903i	−0.340855	−	0.100084i
$66$	−3.84757			−0.473603
$67$	−8.07475	−	1.34103i	−0.986488	−	0.163833i
$67$	−8.07475	−	1.34103i	−0.986488	−	0.163833i
$68$	2.12223			0.257359
$69$	7.27287	+	2.13551i	0.875550	+	0.257085i
$70$	−0.141220	+	0.982209i	−0.0168791	+	0.117396i
$71$	8.89297	+	5.71516i	1.05540	+	0.678265i	0.948749	−	0.316031i	$-0.102350\pi$
$71$	8.89297	+	5.71516i	1.05540	+	0.678265i	0.106652	+	0.994296i	$0.465987\pi$
$72$	−2.77475	−	6.07585i	−0.327007	−	0.716045i
$73$	−0.565644	+	1.23859i	−0.0662036	+	0.144966i	−0.939841	−	0.341611i	$-0.889027\pi$
$73$	−0.565644	+	1.23859i	−0.0662036	+	0.144966i	0.873638	+	0.486577i	$0.161755\pi$
$74$	5.81016	+	1.70602i	0.675418	+	0.198321i
$75$	−2.03739	−	2.35127i	−0.235258	−	0.271502i
$76$	0.440965	+	0.129479i	0.0505821	+	0.0148522i
$77$	0.174646	+	1.21469i	0.0199027	+	0.138427i
$78$	−3.70162	−	8.10542i	−0.419126	−	0.917758i
$79$	3.86533	−	4.46083i	0.434884	−	0.501883i	−0.495430	−	0.868648i	$-0.664989\pi$
$79$	3.86533	−	4.46083i	0.434884	−	0.501883i	0.930313	+	0.366765i	$0.119535\pi$
$80$	−0.654861	+	0.755750i	−0.0732157	+	0.0844954i
$81$	13.1040	+	8.42143i	1.45600	+	0.935714i
$82$	−7.99063	+	2.34626i	−0.882418	+	0.259101i
$83$	5.25951	+	11.5167i	0.577306	+	1.26412i	0.942815	+	0.333316i	$0.108167\pi$
$83$	5.25951	+	11.5167i	0.577306	+	1.26412i	−0.365510	+	0.930808i	$0.619105\pi$
$84$	−2.59716	+	1.66910i	−0.283374	+	0.182113i
$85$	1.78534	+	1.14737i	0.193647	+	0.124449i
$86$	7.88912	−	2.31645i	0.850705	−	0.249790i
$87$	−0.510903	+	3.55341i	−0.0547745	+	0.380965i
$88$	−0.513740	+	1.12493i	−0.0547649	+	0.119918i
$89$	2.24843	+	15.6381i	0.238333	+	1.65764i	0.660280	+	0.751019i	$0.270438\pi$
$89$	2.24843	+	15.6381i	0.238333	+	1.65764i	−0.421947	+	0.906620i	$0.638653\pi$
$90$	0.950586	−	6.61147i	0.100201	−	0.696910i
$91$	−2.39088	+	1.53653i	−0.250632	+	0.161072i
$92$	1.59547	−	1.84126i	0.166339	−	0.191965i
$93$	0.484304	−	0.311243i	0.0502200	−	0.0322744i
$94$	3.38905	−	7.42098i	0.349553	−	0.765415i
$95$	0.300961	+	0.347328i	0.0308780	+	0.0356351i
$96$	−3.11118			−0.317534
$97$	9.56820			0.971503			0.485752	−	0.874097i	$-0.338546\pi$
$97$	9.56820			0.971503			0.485752	+	0.874097i	$0.338546\pi$
$98$	−3.93920	−	4.54608i	−0.397919	−	0.459223i
$99$	−1.17558	−	8.17634i	−0.118150	−	0.821753i
$100$	−0.959493	+	0.281733i	−0.0959493	+	0.0281733i
$101$	12.9302	−	3.79665i	1.28660	−	0.377781i	0.434271	−	0.900782i	$-0.357006\pi$
$101$	12.9302	−	3.79665i	1.28660	−	0.377781i	0.852332	+	0.523002i	$0.175188\pi$
$102$	0.939656	+	6.53545i	0.0930398	+	0.647106i
$103$	−1.78868	−	2.06425i	−0.176244	−	0.203397i	0.660754	−	0.750603i	$-0.270237\pi$
$103$	−1.78868	−	2.06425i	−0.176244	−	0.203397i	−0.836998	+	0.547206i	$0.815691\pi$
$104$	−2.86407			−0.280845
$105$	−3.08725			−0.301285
$106$	3.87757	+	4.47496i	0.376623	+	0.434646i
$107$	4.23857	−	9.28117i	0.409758	−	0.897245i	−0.586429	−	0.810001i	$-0.699467\pi$
$107$	4.23857	−	9.28117i	0.409758	−	0.897245i	0.996187	−	0.0872440i	$-0.0278060\pi$
$108$	9.63021	−	6.18896i	0.926667	−	0.595533i
$109$	−4.14382	+	4.78223i	−0.396906	+	0.458054i	−0.918664	−	0.395039i	$-0.870731\pi$
$109$	−4.14382	+	4.78223i	−0.396906	+	0.458054i	0.521758	+	0.853094i	$0.325276\pi$
$110$	−1.04037	+	0.668605i	−0.0991954	+	0.0637490i
$111$	−2.68116	+	18.6479i	−0.254484	+	1.76998i
$112$	0.141220	+	0.982209i	0.0133441	+	0.0928100i
$113$	7.20928	−	15.7861i	0.678192	−	1.48503i	−0.186355	−	0.982482i	$-0.559667\pi$
$113$	7.20928	−	15.7861i	0.678192	−	1.48503i	0.864547	−	0.502552i	$-0.167605\pi$
$114$	−0.203487	+	1.41529i	−0.0190583	+	0.132554i
$115$	2.33765	−	0.686397i	0.217987	−	0.0640069i
$116$	0.970710	+	0.623838i	0.0901282	+	0.0579219i
$117$	16.0936	−	10.3427i	1.48785	−	0.956183i
$118$	−0.489506	−	1.07187i	−0.0450627	−	0.0986736i
$119$	2.02061	−	0.593304i	0.185229	−	0.0543881i
$120$	−2.61729	−	1.68203i	−0.238925	−	0.153548i
$121$	6.20192	−	7.15740i	0.563811	−	0.650673i
$122$	−6.66929	+	7.69677i	−0.603809	+	0.696833i
$123$	−10.7633	−	23.5684i	−0.970497	−	2.12509i
$124$	−0.0263340	−	0.183157i	−0.00236486	−	0.0164480i
$125$	−0.959493	−	0.281733i	−0.0858197	−	0.0251989i
$126$	−4.34047	−	5.00917i	−0.386680	−	0.446252i
$127$	−7.00395	−	2.05655i	−0.621500	−	0.182489i	−0.0442024	−	0.999023i	$-0.514075\pi$
$127$	−7.00395	−	2.05655i	−0.621500	−	0.182489i	−0.577298	+	0.816534i	$0.695893\pi$
$128$	−0.415415	+	0.909632i	−0.0367178	+	0.0804009i
$129$	10.6266	+	23.2690i	0.935620	+	2.04872i
$130$	−2.40941	−	1.54843i	−0.211319	−	0.135807i
$131$	−1.18637	+	8.25140i	−0.103654	+	0.720928i	0.870026	+	0.493006i	$0.164102\pi$
$131$	−1.18637	+	8.25140i	−0.103654	+	0.720928i	−0.973679	+	0.227922i	$0.926807\pi$
$132$	−3.69172	−	1.08399i	−0.321323	−	0.0943488i
$133$	0.456046			0.0395442
$134$	−7.36986	−	3.56163i	−0.636659	−	0.307678i
$135$	11.4475			0.985240
$136$	2.03627	+	0.597902i	0.174609	+	0.0512697i
$137$	−2.89653	+	20.1458i	−0.247467	+	1.72117i	0.365285	+	0.930896i	$0.380971\pi$
$137$	−2.89653	+	20.1458i	−0.247467	+	1.72117i	−0.612752	+	0.790275i	$0.709938\pi$
$138$	6.37662	+	4.09801i	0.542814	+	0.348845i
$139$	−1.99672	−	4.37221i	−0.169360	−	0.370846i	0.805853	−	0.592116i	$-0.201707\pi$
$139$	−1.99672	−	4.37221i	−0.169360	−	0.370846i	−0.975213	+	0.221270i	$0.928980\pi$
$140$	−0.412220	+	0.902636i	−0.0348389	+	0.0762867i
$141$	24.3536	+	7.15085i	2.05094	+	0.602210i
$142$	6.92259	+	7.98910i	0.580931	+	0.670430i
$143$	−3.39850	−	0.997889i	−0.284197	−	0.0834477i
$144$	−0.950586	−	6.61147i	−0.0792155	−	0.550956i
$145$	0.479341	+	1.04961i	0.0398071	+	0.0871655i
$146$	−0.891681	+	1.02906i	−0.0737961	+	0.0851652i
$147$	12.2556	−	14.1437i	1.01082	−	1.16655i
$148$	5.09417	+	3.27382i	0.418738	+	0.269107i
$149$	7.07520	−	2.07747i	0.579623	−	0.170193i	0.0212379	−	0.999774i	$-0.493239\pi$
$149$	7.07520	−	2.07747i	0.579623	−	0.170193i	0.558385	+	0.829582i	$0.311421\pi$
$150$	−1.29243	−	2.83003i	−0.105527	−	0.231071i
$151$	−10.0740	+	6.47418i	−0.819812	+	0.526861i	−0.882026	−	0.471201i	$-0.843820\pi$
$151$	−10.0740	+	6.47418i	−0.819812	+	0.526861i	0.0622132	+	0.998063i	$0.480184\pi$
$152$	0.386624	+	0.248468i	0.0313594	+	0.0201534i
$153$	−13.6012	+	3.99366i	−1.09959	+	0.322868i
$154$	−0.174646	+	1.21469i	−0.0140734	+	0.0978824i
$155$	0.0768684	−	0.168318i	0.00617422	−	0.0135197i
$156$	−1.26812	−	8.81996i	−0.101531	−	0.706162i
$157$	−1.83878	+	12.7890i	−0.146751	+	1.02067i	0.774742	+	0.632278i	$0.217880\pi$
$157$	−1.83878	+	12.7890i	−0.146751	+	1.02067i	−0.921493	+	0.388396i	$0.873029\pi$
$158$	4.96552	−	3.19115i	0.395036	−	0.253874i
$159$	−12.0638	+	13.9224i	−0.956724	+	1.10412i
$160$	−0.841254	+	0.540641i	−0.0665069	+	0.0427414i
$161$	1.00431	−	2.19913i	0.0791507	−	0.173316i
$162$	10.2006	+	11.7721i	0.801435	+	0.924905i
$163$	12.9267			1.01249			0.506247	−	0.862388i	$-0.331032\pi$
$163$	12.9267			1.01249			0.506247	+	0.862388i	$0.331032\pi$
$164$	−8.32797			−0.650305
$165$	−2.51962	−	2.90780i	−0.196152	−	0.226372i
$166$	1.80183	+	12.5320i	0.139849	+	0.972670i
$167$	7.35287	−	2.15900i	0.568982	−	0.167068i	0.0154274	−	0.999881i	$-0.495089\pi$
$167$	7.35287	−	2.15900i	0.568982	−	0.167068i	0.553555	+	0.832813i	$0.313271\pi$
$168$	−2.96220	+	0.869780i	−0.228539	+	0.0671050i
$169$	0.682696	+	4.74826i	0.0525151	+	0.365251i
$170$	1.38977	+	1.60388i	0.106590	+	0.123012i
$171$	−3.06975			−0.234750
$172$	8.22217			0.626935
$173$	−9.39527	−	10.8427i	−0.714309	−	0.824357i	0.276301	−	0.961071i	$-0.410891\pi$
$173$	−9.39527	−	10.8427i	−0.714309	−	0.824357i	−0.990611	+	0.136714i	$0.956346\pi$
$174$	−1.49132	+	3.26553i	−0.113057	+	0.247559i
$175$	−0.834783	+	0.536483i	−0.0631037	+	0.0405543i
$176$	−0.809860	+	0.934628i	−0.0610455	+	0.0704503i
$177$	3.08410	−	1.98203i	0.231815	−	0.148979i
$178$	−2.24843	+	15.6381i	−0.168527	+	1.17213i
$179$	−2.70551	−	18.8173i	−0.202219	−	1.40647i	−0.797679	−	0.603082i	$-0.793939\pi$
$179$	−2.70551	−	18.8173i	−0.202219	−	1.40647i	0.595460	−	0.803385i	$-0.296970\pi$
$180$	2.77475	−	6.07585i	0.206817	−	0.452867i
$181$	0.615384	−	4.28009i	0.0457411	−	0.318136i	−0.954086	−	0.299533i	$-0.903169\pi$
$181$	0.615384	−	4.28009i	0.0457411	−	0.318136i	0.999827	−	0.0186031i	$-0.00592189\pi$
$182$	−2.72692	+	0.800697i	−0.202133	+	0.0593516i
$183$	−26.6553	−	17.1303i	−1.97041	−	1.26631i
$184$	2.04958	−	1.31719i	0.151097	−	0.0971043i
$185$	2.51553	+	5.50823i	0.184945	+	0.404973i
$186$	0.552374	−	0.162192i	0.0405020	−	0.0118925i
$187$	2.20791	+	1.41894i	0.161458	+	0.103763i
$188$	5.34250	−	6.16557i	0.389642	−	0.449670i
$189$	7.43883	−	8.58487i	0.541095	−	0.624457i
$190$	0.190917	+	0.418050i	0.0138506	+	0.0303285i
$191$	0.124306	+	0.864566i	0.00899445	+	0.0625578i	0.993824	−	0.110965i	$-0.0353941\pi$
$191$	0.124306	+	0.864566i	0.00899445	+	0.0625578i	−0.984830	+	0.173523i	$0.944485\pi$
$192$	−2.98516	−	0.876521i	−0.215435	−	0.0632575i
$193$	−9.81479	−	11.3269i	−0.706484	−	0.815326i	0.283129	−	0.959082i	$-0.408627\pi$
$193$	−9.81479	−	11.3269i	−0.706484	−	0.815326i	−0.989613	+	0.143756i	$0.954082\pi$
$194$	9.18062	+	2.69567i	0.659130	+	0.193538i
$195$	3.70162	−	8.10542i	0.265078	−	0.580441i
$196$	−2.49886	−	5.47173i	−0.178490	−	0.390838i
$197$	8.98020	+	5.77122i	0.639812	+	0.411183i	0.819931	−	0.572462i	$-0.194012\pi$
$197$	8.98020	+	5.77122i	0.639812	+	0.411183i	−0.180118	+	0.983645i	$0.557648\pi$
$198$	1.17558	−	8.17634i	0.0835448	−	0.581067i
$199$	−25.6127	−	7.52055i	−1.81563	−	0.533118i	−0.816605	−	0.577197i	$-0.804147\pi$
$199$	−25.6127	−	7.52055i	−1.81563	−	0.533118i	−0.999028	+	0.0440789i	$0.985965\pi$
$200$	−1.00000			−0.0707107
$201$	7.70496	−	24.2726i	0.543466	−	1.71205i
$202$	13.4761			0.948173
$203$	1.09863	+	0.322587i	0.0771087	+	0.0226412i
$204$	−0.939656	+	6.53545i	−0.0657891	+	0.457573i
$205$	−7.00594	−	4.50244i	−0.489316	−	0.314464i
$206$	−1.13466	−	2.48456i	−0.0790557	−	0.173108i
$207$	−6.76023	+	14.8028i	−0.469869	+	1.02887i
$208$	−2.74806	−	0.806903i	−0.190544	−	0.0559486i
$209$	0.372196	+	0.429537i	0.0257454	+	0.0297117i
$210$	−2.96220	−	0.869780i	−0.204411	−	0.0600205i
$211$	−3.26700	−	22.7225i	−0.224909	−	1.56428i	−0.719088	−	0.694919i	$-0.755440\pi$
$211$	−3.26700	−	22.7225i	−0.224909	−	1.56428i	0.494179	−	0.869360i	$-0.335469\pi$
$212$	2.45976	+	5.38613i	0.168937	+	0.369921i
$213$	−21.5374	+	24.8555i	−1.47572	+	1.70307i
$214$	6.68168	−	7.71108i	0.456751	−	0.527118i
$215$	6.91693	+	4.44524i	0.471731	+	0.303163i
$216$	10.9838	−	3.22512i	0.747350	−	0.219442i
$217$	−0.0762772	−	0.167024i	−0.00517804	−	0.0113383i
$218$	−5.32328	+	3.42106i	−0.360538	+	0.231704i
$219$	−3.56380	−	2.29031i	−0.240819	−	0.154765i
$220$	−1.18660	+	0.348416i	−0.0800003	+	0.0234902i
$221$	−0.865023	+	6.01636i	−0.0581877	+	0.404704i
$222$	−7.82626	+	17.1371i	−0.525264	+	1.15017i
$223$	−1.63209	−	11.3515i	−0.109293	−	0.760150i	−0.968588	−	0.248670i	$-0.920007\pi$
$223$	−1.63209	−	11.3515i	−0.109293	−	0.760150i	0.859295	−	0.511480i	$-0.170903\pi$
$224$	−0.141220	+	0.982209i	−0.00943568	+	0.0656266i
$225$	5.61911	−	3.61119i	0.374608	−	0.240746i
$226$	11.3647	−	13.1156i	0.755970	−	0.872436i
$227$	−3.56298	+	2.28979i	−0.236484	+	0.151979i	−0.653516	−	0.756913i	$-0.726707\pi$
$227$	−3.56298	+	2.28979i	−0.236484	+	0.151979i	0.417032	+	0.908892i	$0.363070\pi$
$228$	−0.593977	+	1.30063i	−0.0393371	+	0.0861362i
$229$	−5.11341	−	5.90119i	−0.337903	−	0.389961i	0.561213	−	0.827672i	$-0.310335\pi$
$229$	−5.11341	−	5.90119i	−0.337903	−	0.389961i	−0.899116	+	0.437710i	$0.855790\pi$
$230$	2.43634			0.160648
$231$	−3.81798			−0.251204
$232$	0.755634	+	0.872048i	0.0496098	+	0.0572528i
$233$	−1.31214	−	9.12610i	−0.0859609	−	0.597871i	−0.986582	−	0.163266i	$-0.947797\pi$
$233$	−1.31214	−	9.12610i	−0.0859609	−	0.597871i	0.900621	−	0.434605i	$-0.143112\pi$
$234$	18.3555	−	5.38967i	1.19994	−	0.352334i
$235$	7.82775	−	2.29844i	0.510626	−	0.149933i
$236$	−0.167697	−	1.16636i	−0.0109162	−	0.0759236i
$237$	12.0258	+	13.8785i	0.781156	+	0.901503i
$238$	2.10591			0.136506
$239$	−12.4397			−0.804657			−0.402328	−	0.915495i	$-0.631799\pi$
$239$	−12.4397			−0.804657			−0.402328	+	0.915495i	$0.631799\pi$
$240$	−2.03739	−	2.35127i	−0.131513	−	0.151774i
$241$	0.866573	−	1.89753i	0.0558209	−	0.122231i	−0.879666	−	0.475592i	$-0.842234\pi$
$241$	0.866573	−	1.89753i	0.0558209	−	0.122231i	0.935487	+	0.353361i	$0.114961\pi$
$242$	7.96717	−	5.12019i	0.512149	−	0.329138i
$243$	−9.24647	+	10.6710i	−0.593161	+	0.684545i
$244$	−8.56757	+	5.50604i	−0.548482	+	0.352488i
$245$	0.856070	−	5.95410i	0.0546923	−	0.380393i
$246$	−3.68735	−	25.6461i	−0.235097	−	1.63514i
$247$	−0.546800	+	1.19732i	−0.0347920	+	0.0761839i
$248$	0.0263340	−	0.183157i	0.00167221	−	0.0116305i
$249$	−37.7946	+	11.0975i	−2.39514	+	0.703276i
$250$	−0.841254	−	0.540641i	−0.0532055	−	0.0341931i
$251$	20.8603	−	13.4061i	1.31669	−	0.846185i	0.321766	−	0.946819i	$-0.395724\pi$
$251$	20.8603	−	13.4061i	1.31669	−	0.846185i	0.994923	+	0.100635i	$0.0320874\pi$
$252$	−2.75340	−	6.02912i	−0.173448	−	0.379799i
$253$	2.89095	−	0.848861i	0.181753	−	0.0533674i
$254$	−6.14085	−	3.94648i	−0.385311	−	0.247624i
$255$	−4.32382	+	4.98995i	−0.270768	+	0.312483i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−9.02112	−	19.7535i	−0.562722	−	1.23219i	−0.950583	−	0.310471i	$-0.899513\pi$
$257$	−9.02112	−	19.7535i	−0.562722	−	1.23219i	0.387861	−	0.921718i	$-0.373214\pi$
$258$	3.64051	+	25.3203i	0.226648	+	1.57637i
$259$	5.76548	+	1.69290i	0.358249	+	0.105191i
$260$	−1.87557	−	2.16452i	−0.116318	−	0.134238i
$261$	−7.39512	−	2.17140i	−0.457747	−	0.134407i
$262$	−3.46300	+	7.58292i	−0.213945	+	0.468474i
$263$	0.577317	+	1.26415i	0.0355989	+	0.0779507i	0.926596	−	0.376058i	$-0.122721\pi$
$263$	0.577317	+	1.26415i	0.0355989	+	0.0779507i	−0.890997	+	0.454009i	$0.849993\pi$
$264$	−3.23678	−	2.08015i	−0.199210	−	0.128025i
$265$	−0.842677	+	5.86094i	−0.0517652	+	0.360035i
$266$	0.437573	+	0.128483i	0.0268293	+	0.00787780i
$267$	−49.1534			−3.00814
$268$	−6.06790	−	5.49369i	−0.370656	−	0.335580i
$269$	12.9076			0.786992			0.393496	−	0.919326i	$-0.371266\pi$
$269$	12.9076			0.786992			0.393496	+	0.919326i	$0.371266\pi$
$270$	10.9838	+	3.22512i	0.668450	+	0.196275i
$271$	−0.869109	+	6.04478i	−0.0527946	+	0.367194i	0.946248	+	0.323442i	$0.104840\pi$
$271$	−0.869109	+	6.04478i	−0.0527946	+	0.367194i	−0.999042	+	0.0437519i	$0.986069\pi$
$272$	1.78534	+	1.14737i	0.108252	+	0.0695693i
$273$	−3.67315	−	8.04308i	−0.222309	−	0.486789i
$274$	−8.45492	+	18.5137i	−0.510780	+	1.11845i
$275$	−1.18660	−	0.348416i	−0.0715544	−	0.0210103i
$276$	4.96378	+	5.72851i	0.298785	+	0.344816i
$277$	−22.8074	−	6.69685i	−1.37036	−	0.402375i	−0.487959	−	0.872867i	$-0.662258\pi$
$277$	−22.8074	−	6.69685i	−1.37036	−	0.402375i	−0.882404	+	0.470492i	$0.844077\pi$
$278$	−0.684046	−	4.75764i	−0.0410263	−	0.285344i
$279$	0.513439	+	1.12428i	0.0307388	+	0.0673086i
$280$	−0.649824	+	0.749937i	−0.0388344	+	0.0448173i
$281$	16.2899	−	18.7995i	0.971773	−	1.12149i	−0.0207934	−	0.999784i	$-0.506619\pi$
$281$	16.2899	−	18.7995i	0.971773	−	1.12149i	0.992567	−	0.121702i	$-0.0388353\pi$
$282$	21.3524	+	13.7224i	1.27152	+	0.817156i
$283$	20.1727	−	5.92325i	1.19914	−	0.352101i	0.379619	−	0.925143i	$-0.376055\pi$
$283$	20.1727	−	5.92325i	1.19914	−	0.352101i	0.819526	+	0.573042i	$0.194237\pi$
$284$	4.39139	+	9.61580i	0.260581	+	0.570593i
$285$	−1.20286	+	0.773030i	−0.0712512	+	0.0457903i
$286$	−2.97970	−	1.91493i	−0.176193	−	0.113232i
$287$	−7.92917	+	2.32822i	−0.468044	+	0.137430i
$288$	0.950586	−	6.61147i	0.0560138	−	0.389584i
$289$	−5.19108	+	11.3669i	−0.305358	+	0.668640i
$290$	0.164215	+	1.14214i	0.00964304	+	0.0670688i
$291$	−4.23649	+	29.4654i	−0.248347	+	1.72729i
$292$	−1.14548	+	0.736156i	−0.0670342	+	0.0430802i
$293$	−8.17938	+	9.43951i	−0.477844	+	0.551462i	−0.942577	−	0.333989i	$-0.891605\pi$
$293$	−8.17938	+	9.43951i	−0.477844	+	0.551462i	0.464732	+	0.885451i	$0.346151\pi$
$294$	15.7439	−	10.1180i	0.918201	−	0.590092i
$295$	0.489506	−	1.07187i	0.0285002	−	0.0624067i
$296$	3.96548	+	4.57641i	0.230489	+	0.265998i
$297$	14.1570			0.821470
$298$	7.37390			0.427158
$299$	4.56953	+	5.27352i	0.264263	+	0.304975i
$300$	−0.442767	−	3.07951i	−0.0255632	−	0.177796i
$301$	7.82844	−	2.29864i	0.451224	−	0.132491i
$302$	−11.4899	+	3.37375i	−0.661172	+	0.194138i
$303$	5.96676	+	41.4998i	0.342782	+	2.38410i
$304$	0.300961	+	0.347328i	0.0172613	+	0.0199206i
$305$	−10.1843			−0.583151
$306$	−14.1754			−0.810352
$307$	9.26734	+	10.6951i	0.528915	+	0.610400i	0.955840	−	0.293886i	$-0.0949488\pi$
$307$	9.26734	+	10.6951i	0.528915	+	0.610400i	−0.426925	+	0.904287i	$0.640403\pi$
$308$	−0.509789	+	1.11628i	−0.0290479	+	0.0636060i
$309$	7.14886	−	4.59429i	0.406684	−	0.261360i
$310$	0.121176	−	0.139844i	0.00688231	−	0.00794260i
$311$	−2.61404	+	1.67994i	−0.148228	+	0.0952606i	−0.612653	−	0.790352i	$-0.709898\pi$
$311$	−2.61404	+	1.67994i	−0.148228	+	0.0952606i	0.464424	+	0.885613i	$0.346261\pi$
$312$	1.26812	−	8.81996i	0.0717931	−	0.499332i
$313$	0.405190	+	2.81816i	0.0229027	+	0.159292i	0.998063	−	0.0622074i	$-0.0198140\pi$
$313$	0.405190	+	2.81816i	0.0229027	+	0.159292i	−0.975161	+	0.221499i	$0.928905\pi$
$314$	−5.36737	+	11.7529i	−0.302898	+	0.663255i
$315$	0.943274	−	6.56062i	0.0531475	−	0.369649i
$316$	5.66343	−	1.66293i	0.318593	−	0.0935473i
$317$	−22.6821	−	14.5769i	−1.27395	−	0.818720i	−0.283824	−	0.958876i	$-0.591603\pi$
$317$	−22.6821	−	14.5769i	−1.27395	−	0.818720i	−0.990129	+	0.140156i	$0.955239\pi$
$318$	−15.4976	+	9.95967i	−0.869060	+	0.558511i
$319$	0.592797	+	1.29804i	0.0331903	+	0.0726765i
$320$	−0.959493	+	0.281733i	−0.0536373	+	0.0157493i
$321$	26.7048	+	17.1621i	1.49052	+	0.957897i
$322$	1.58319	−	1.82710i	0.0882280	−	0.101820i
$323$	0.638711	−	0.737111i	0.0355388	−	0.0410140i
$324$	6.47082	+	14.1691i	0.359490	+	0.787173i
$325$	−0.407600	−	2.83492i	−0.0226096	−	0.157253i
$326$	12.4030	+	3.64186i	0.686941	+	0.201704i
$327$	−12.8922	−	14.8784i	−0.712940	−	0.822776i
$328$	−7.99063	−	2.34626i	−0.441209	−	0.129551i
$329$	3.36298	−	7.36390i	0.185407	−	0.405985i
$330$	−1.59834	−	3.49987i	−0.0879856	−	0.192662i
$331$	−5.64721	−	3.62924i	−0.310399	−	0.199481i	0.376161	−	0.926554i	$-0.377244\pi$
$331$	−5.64721	−	3.62924i	−0.310399	−	0.199481i	−0.686560	+	0.727073i	$0.740880\pi$
$332$	−1.80183	+	12.5320i	−0.0988881	+	0.687782i
$333$	−38.8087	−	11.3953i	−2.12671	−	0.624457i
$334$	7.66329			0.419317
$335$	−2.13453	−	7.90214i	−0.116622	−	0.431740i
$336$	−3.08725			−0.168423
$337$	−16.2267	−	4.76458i	−0.883923	−	0.259543i	−0.191896	−	0.981415i	$-0.561464\pi$
$337$	−16.2267	−	4.76458i	−0.883923	−	0.259543i	−0.692027	+	0.721872i	$0.743282\pi$
$338$	−0.682696	+	4.74826i	−0.0371338	+	0.258271i
$339$	45.4216	+	29.1907i	2.46696	+	1.58542i
$340$	0.881608	+	1.93045i	0.0478119	+	0.104693i
$341$	0.0950625	−	0.208158i	0.00514792	−	0.0112724i
$342$	−2.94540	−	0.864848i	−0.159269	−	0.0467657i
$343$	−8.45767	−	9.76067i	−0.456671	−	0.527027i
$344$	7.88912	+	2.31645i	0.425353	+	0.124895i
$345$	1.07873	+	7.50275i	0.0580770	+	0.403935i
$346$	−5.95995	−	13.0505i	−0.320409	−	0.701598i
$347$	14.2239	−	16.4152i	0.763578	−	0.881216i	−0.232232	−	0.972660i	$-0.574603\pi$
$347$	14.2239	−	16.4152i	0.763578	−	0.881216i	0.995810	+	0.0914444i	$0.0291484\pi$
$348$	−2.35092	+	2.71310i	−0.126022	+	0.145438i
$349$	−8.15346	−	5.23991i	−0.436445	−	0.280486i	0.303912	−	0.952700i	$-0.401707\pi$
$349$	−8.15346	−	5.23991i	−0.436445	−	0.280486i	−0.740357	+	0.672214i	$0.765343\pi$
$350$	−0.952113	+	0.279566i	−0.0508926	+	0.0149434i
$351$	13.6199	+	29.8235i	0.726979	+	1.59186i
$352$	−1.04037	+	0.668605i	−0.0554519	+	0.0356368i
$353$	27.4179	+	17.6204i	1.45931	+	0.937842i	0.998738	+	0.0502192i	$0.0159920\pi$
$353$	27.4179	+	17.6204i	1.45931	+	0.937842i	0.460572	+	0.887622i	$0.347644\pi$
$354$	3.51758	−	1.03285i	0.186957	−	0.0548955i
$355$	−1.50442	+	10.4635i	−0.0798465	+	0.555345i
$356$	−6.56312	+	14.3712i	−0.347845	+	0.761674i
$357$	0.932429	+	6.48519i	0.0493494	+	0.343232i
$358$	2.70551	−	18.8173i	0.142991	−	0.994523i
$359$	12.1399	−	7.80185i	0.640721	−	0.411766i	−0.179544	−	0.983750i	$-0.557462\pi$
$359$	12.1399	−	7.80185i	0.640721	−	0.411766i	0.820265	+	0.571984i	$0.193826\pi$
$360$	4.37411	−	5.04800i	0.230536	−	0.266053i
$361$	−15.8061	+	10.1580i	−0.831902	+	0.534631i
$362$	1.79630	−	3.93334i	0.0944112	−	0.206732i
$363$	19.2953	+	22.2680i	1.01274	+	1.16877i
$364$	−2.84205			−0.148964
$365$	−1.36164			−0.0712712
$366$	−20.7494	−	23.9461i	−1.08459	−	1.25168i
$367$	3.15222	+	21.9242i	0.164545	+	1.14443i	0.889932	+	0.456092i	$0.150751\pi$
$367$	3.15222	+	21.9242i	0.164545	+	1.14443i	−0.725388	+	0.688340i	$0.758340\pi$
$368$	2.33765	−	0.686397i	0.121859	−	0.0357809i
$369$	53.3731	−	15.6717i	2.77849	−	0.815838i
$370$	0.861781	+	5.99382i	0.0448018	+	0.311604i
$371$	3.84775	+	4.44054i	0.199765	+	0.230541i
$372$	0.575694			0.0298483
$373$	22.4159			1.16065			0.580325	−	0.814385i	$-0.302926\pi$
$373$	22.4159			1.16065			0.580325	+	0.814385i	$0.302926\pi$
$374$	1.71871	+	1.98350i	0.0888725	+	0.102564i
$375$	1.29243	−	2.83003i	0.0667409	−	0.146142i
$376$	6.86313	−	4.41067i	0.353939	−	0.227463i
$377$	−2.16419	+	2.49761i	−0.111462	+	0.128633i
$378$	9.55614	−	6.14136i	0.491515	−	0.315878i
$379$	3.74372	−	26.0381i	0.192302	−	1.33749i	−0.633594	−	0.773666i	$-0.718421\pi$
$379$	3.74372	−	26.0381i	0.192302	−	1.33749i	0.825896	−	0.563823i	$-0.190670\pi$
$380$	0.0654052	+	0.454903i	0.00335522	+	0.0233360i
$381$	9.43428	−	20.6582i	0.483333	−	1.05835i
$382$	−0.124306	+	0.864566i	−0.00636004	+	0.0442351i
$383$	11.2230	−	3.29537i	0.573468	−	0.168385i	0.0178758	−	0.999840i	$-0.494310\pi$
$383$	11.2230	−	3.29537i	0.573468	−	0.168385i	0.555592	+	0.831455i	$0.312491\pi$
$384$	−2.61729	−	1.68203i	−0.133563	−	0.0858358i
$385$	−1.03237	+	0.663463i	−0.0526144	+	0.0338132i
$386$	−6.22607	−	13.6332i	−0.316899	−	0.693911i
$387$	−52.6950	+	15.4726i	−2.67864	+	0.786519i
$388$	8.04928	+	5.17296i	0.408640	+	0.262617i
$389$	−13.1898	+	15.2219i	−0.668750	+	0.771778i	−0.984180	−	0.177170i	$-0.943306\pi$
$389$	−13.1898	+	15.2219i	−0.668750	+	0.771778i	0.315430	+	0.948949i	$0.397851\pi$
$390$	5.83524	−	6.73422i	0.295479	−	0.341001i
$391$	−2.14790	−	4.70324i	−0.108624	−	0.237853i
$392$	−0.856070	−	5.95410i	−0.0432381	−	0.300727i
$393$	−24.8850	−	7.30690i	−1.25528	−	0.368584i
$394$	6.99049	+	8.06746i	0.352176	+	0.406433i
$395$	5.66343	+	1.66293i	0.284958	+	0.0836713i
$396$	3.43150	−	7.51394i	0.172439	−	0.377590i
$397$	−5.30087	−	11.6073i	−0.266043	−	0.582553i	0.728714	−	0.684818i	$-0.240118\pi$
$397$	−5.30087	−	11.6073i	−0.266043	−	0.582553i	−0.994757	+	0.102265i	$0.967391\pi$
$398$	−22.4564	−	14.4318i	−1.12564	−	0.723403i
$399$	−0.201922	+	1.40440i	−0.0101088	+	0.0703080i
$400$	−0.959493	−	0.281733i	−0.0479746	−	0.0140866i
$401$	18.5484			0.926262			0.463131	−	0.886290i	$-0.346726\pi$
$401$	18.5484			0.926262			0.463131	+	0.886290i	$0.346726\pi$
$402$	14.2312	−	21.1186i	0.709789	−	1.05330i
$403$	0.529968			0.0263996
$404$	12.9302	+	3.79665i	0.643301	+	0.188890i
$405$	−2.21680	+	15.4182i	−0.110154	+	0.766137i
$406$	0.963244	+	0.619040i	0.0478050	+	0.0307224i
$407$	3.11093	+	6.81198i	0.154203	+	0.337657i
$408$	−2.74284	+	6.00599i	−0.135791	+	0.297341i
$409$	−5.44342	−	1.59833i	−0.269160	−	0.0790325i	0.144368	−	0.989524i	$-0.453885\pi$
$409$	−5.44342	−	1.59833i	−0.269160	−	0.0790325i	−0.413527	+	0.910492i	$0.635703\pi$
$410$	−5.45366	−	6.29386i	−0.269337	−	0.310832i
$411$	−60.7568	−	17.8398i	−2.99691	−	0.879972i
$412$	−0.388718	−	2.70359i	−0.0191508	−	0.133196i
$413$	−0.485742	−	1.06363i	−0.0239018	−	0.0523376i
$414$	−10.6568	+	12.2986i	−0.523755	+	0.604445i
$415$	−8.29109	+	9.56843i	−0.406994	+	0.469696i
$416$	−2.40941	−	1.54843i	−0.118131	−	0.0759183i
$417$	14.3484	−	4.21306i	0.702642	−	0.206314i
$418$	0.236105	+	0.516998i	0.0115483	+	0.0252872i
$419$	−8.10614	+	5.20950i	−0.396011	+	0.254501i	−0.723457	−	0.690369i	$-0.757448\pi$
$419$	−8.10614	+	5.20950i	−0.396011	+	0.254501i	0.327447	+	0.944870i	$0.393812\pi$
$420$	−2.59716	−	1.66910i	−0.126729	−	0.0814435i
$421$	−7.26666	+	2.13368i	−0.354155	+	0.103989i	−0.453971	−	0.891017i	$-0.649993\pi$
$421$	−7.26666	+	2.13368i	−0.354155	+	0.103989i	0.0998155	+	0.995006i	$0.468175\pi$
$422$	3.26700	−	22.7225i	0.159035	−	1.10611i
$423$	−22.6370	+	49.5681i	−1.10065	+	2.41008i
$424$	0.842677	+	5.86094i	0.0409240	+	0.284633i
$425$	−0.302025	+	2.10063i	−0.0146504	+	0.101896i
$426$	−27.6676	+	17.7809i	−1.34050	+	0.861488i
$427$	−6.61799	+	7.63757i	−0.320267	+	0.369608i
$428$	8.58349	−	5.51627i	0.414899	−	0.266639i
$429$	4.57776	−	10.0239i	0.221016	−	0.483958i
$430$	5.38438	+	6.21390i	0.259658	+	0.299661i
$431$	−20.6011			−0.992322			−0.496161	−	0.868231i	$-0.665257\pi$
$431$	−20.6011			−0.992322			−0.496161	+	0.868231i	$0.665257\pi$
$432$	11.4475			0.550766
$433$	−19.9270	−	22.9969i	−0.957628	−	1.10516i	−0.994383	−	0.105838i	$-0.966248\pi$
$433$	−19.9270	−	22.9969i	−0.957628	−	1.10516i	0.0367551	−	0.999324i	$-0.488298\pi$
$434$	−0.0261314	−	0.181748i	−0.00125435	−	0.00872418i
$435$	−3.44453	+	1.01141i	−0.165153	+	0.0484932i
$436$	−6.07147	+	1.78275i	−0.290771	+	0.0853780i
$437$	−0.159349	−	1.10830i	−0.00762272	−	0.0530172i
$438$	−2.77418	−	3.20158i	−0.132556	−	0.152977i
$439$	−39.2376			−1.87271			−0.936353	−	0.351060i	$-0.885821\pi$
$439$	−39.2376			−1.87271			−0.936353	+	0.351060i	$0.885821\pi$
$440$	−1.23669			−0.0589569
$441$	26.3117	+	30.3653i	1.25294	+	1.44597i
$442$	−2.52499	+	5.52895i	−0.120101	+	0.262986i
$443$	20.1955	−	12.9789i	0.959519	−	0.616646i	0.0356543	−	0.999364i	$-0.488648\pi$
$443$	20.1955	−	12.9789i	0.959519	−	0.616646i	0.923865	+	0.382719i	$0.125012\pi$
$444$	−12.3373	+	14.2380i	−0.585504	+	0.675707i
$445$	−13.2909	+	8.54156i	−0.630050	+	0.404909i
$446$	1.63209	−	11.3515i	0.0772819	−	0.537507i
$447$	3.26492	+	22.7080i	0.154425	+	1.07405i
$448$	−0.412220	+	0.902636i	−0.0194756	+	0.0426455i
$449$	−4.92789	+	34.2743i	−0.232562	+	1.61750i	0.454393	+	0.890801i	$0.349856\pi$
$449$	−4.92789	+	34.2743i	−0.232562	+	1.61750i	−0.686954	+	0.726701i	$0.741053\pi$
$450$	6.40889	−	1.88182i	0.302118	−	0.0887098i
$451$	−8.66418	−	5.56813i	−0.407980	−	0.262193i
$452$	14.5995	−	9.38250i	0.686701	−	0.441316i
$453$	−15.4769	−	33.8897i	−0.727168	−	1.59228i
$454$	−4.06377	+	1.19323i	−0.190722	+	0.0560010i
$455$	−2.39088	−	1.53653i	−0.112086	−	0.0720334i
$456$	−0.936346	+	1.08060i	−0.0438484	+	0.0506038i
$457$	−3.73073	+	4.30549i	−0.174516	+	0.201402i	−0.836269	−	0.548320i	$-0.815268\pi$
$457$	−3.73073	+	4.30549i	−0.174516	+	0.201402i	0.661752	+	0.749722i	$0.269813\pi$
$458$	−3.24372	−	7.10276i	−0.151569	−	0.331890i
$459$	−3.45742	−	24.0469i	−0.161379	−	1.12241i
$460$	2.33765	+	0.686397i	0.108994	+	0.0320034i
$461$	5.26947	+	6.08130i	0.245424	+	0.283234i	0.865074	−	0.501644i	$-0.167271\pi$
$461$	5.26947	+	6.08130i	0.245424	+	0.283234i	−0.619651	+	0.784878i	$0.712726\pi$
$462$	−3.66332	−	1.07565i	−0.170433	−	0.0500437i
$463$	6.87792	−	15.0606i	0.319644	−	0.699923i	−0.679795	−	0.733402i	$-0.737931\pi$
$463$	6.87792	−	15.0606i	0.319644	−	0.699923i	0.999439	+	0.0334787i	$0.0106586\pi$
$464$	0.479341	+	1.04961i	0.0222529	+	0.0487270i
$465$	0.484304	+	0.311243i	0.0224591	+	0.0144336i
$466$	1.31214	−	9.12610i	0.0607835	−	0.422759i
$467$	−20.1364	−	5.91259i	−0.931803	−	0.273602i	−0.219611	−	0.975587i	$-0.570479\pi$
$467$	−20.1364	−	5.91259i	−0.931803	−	0.273602i	−0.712191	+	0.701985i	$0.752297\pi$
$468$	19.1304			0.884305
$469$	−7.31318	−	3.53424i	−0.337691	−	0.163196i
$470$	8.15822			0.376311
$471$	−38.5698	−	11.3251i	−1.77720	−	0.521833i
$472$	0.167697	−	1.16636i	0.00771890	−	0.0536861i
$473$	8.55410	+	5.49739i	0.393318	+	0.252770i
$474$	7.62861	+	16.7043i	0.350394	+	0.767255i
$475$	−0.190917	+	0.418050i	−0.00875986	+	0.0191814i
$476$	2.02061	+	0.593304i	0.0926144	+	0.0271940i
$477$	−25.9001	−	29.8903i	−1.18588	−	1.36858i
$478$	−11.9358	−	3.50467i	−0.545931	−	0.160300i
$479$	−1.40730	−	9.78796i	−0.0643010	−	0.447224i	−0.996383	−	0.0849761i	$-0.972919\pi$
$479$	−1.40730	−	9.78796i	−0.0643010	−	0.447224i	0.932082	−	0.362247i	$-0.117990\pi$
$480$	−1.29243	−	2.83003i	−0.0589912	−	0.129173i
$481$	−11.3574	+	13.1072i	−0.517854	+	0.597635i
$482$	1.36607	−	1.57652i	0.0622226	−	0.0718087i
$483$	6.32758	+	4.06649i	0.287915	+	0.185032i
$484$	9.08697	−	2.66818i	0.413044	−	0.121281i
$485$	3.97477	+	8.70354i	0.180485	+	0.395207i
$486$	−11.8783	+	7.63371i	−0.538810	+	0.346272i
$487$	−21.7957	−	14.0072i	−0.987656	−	0.634728i	−0.0561376	−	0.998423i	$-0.517879\pi$
$487$	−21.7957	−	14.0072i	−0.987656	−	0.634728i	−0.931518	+	0.363695i	$0.881515\pi$
$488$	−9.77175	+	2.86924i	−0.442346	+	0.129885i
$489$	−5.72351	+	39.8079i	−0.258826	+	1.80017i
$490$	2.49886	−	5.47173i	0.112887	−	0.247188i
$491$	2.06615	+	14.3704i	0.0932439	+	0.648526i	0.981823	+	0.189801i	$0.0607844\pi$
$491$	2.06615	+	14.3704i	0.0932439	+	0.648526i	−0.888579	+	0.458724i	$0.848306\pi$
$492$	3.68735	−	25.6461i	0.166239	−	1.15622i
$493$	2.06007	−	1.32393i	0.0927811	−	0.0596268i
$494$	−0.861976	+	0.994773i	−0.0387821	+	0.0447570i
$495$	6.94911	−	4.46592i	0.312339	−	0.200728i
$496$	0.0768684	−	0.168318i	0.00345149	−	0.00755772i
$497$	6.86935	+	7.92765i	0.308132	+	0.355604i
$498$	−39.3902			−1.76512
$499$	−21.5998			−0.966939			−0.483469	−	0.875361i	$-0.660624\pi$
$499$	−21.5998			−0.966939			−0.483469	+	0.875361i	$0.660624\pi$
$500$	−0.654861	−	0.755750i	−0.0292863	−	0.0337981i
$501$	3.39305	+	23.5992i	0.151590	+	1.05434i
$502$	23.7922	−	6.98603i	1.06190	−	0.311802i
$503$	37.1786	−	10.9166i	1.65771	−	0.486748i	0.686933	−	0.726721i	$-0.258957\pi$
$503$	37.1786	−	10.9166i	1.65771	−	0.486748i	0.970780	+	0.239973i	$0.0771386\pi$
$504$	−0.943274	−	6.56062i	−0.0420168	−	0.292233i
$505$	8.82495	+	10.1845i	0.392705	+	0.453206i
$506$	3.01300			0.133944
$507$	−14.9246			−0.662825
$508$	−4.78025	−	5.51670i	−0.212089	−	0.244764i
$509$	17.7345	−	38.8331i	0.786067	−	1.72125i	0.0984852	−	0.995139i	$-0.468600\pi$
$509$	17.7345	−	38.8331i	0.786067	−	1.72125i	0.687581	−	0.726107i	$-0.258672\pi$
$510$	−5.55451	+	3.56967i	−0.245958	+	0.158067i
$511$	−0.884823	+	1.02114i	−0.0391423	+	0.0451726i
$512$	−0.841254	+	0.540641i	−0.0371785	+	0.0238932i
$513$	0.748723	−	5.20748i	0.0330569	−	0.229916i
$514$	−3.09050	−	21.4949i	−0.136316	−	0.948098i
$515$	1.13466	−	2.48456i	0.0499992	−	0.109483i
$516$	−3.64051	+	25.3203i	−0.160264	+	1.11466i
$517$	9.68051	−	2.84245i	0.425748	−	0.125011i
$518$	5.05499	+	3.24865i	0.222104	+	0.142737i
$519$	37.5503	−	24.1321i	1.64827	−	1.05928i
$520$	−1.18978	−	2.60525i	−0.0521753	−	0.114248i
$521$	2.55640	−	0.750628i	0.111998	−	0.0328856i	−0.225253	−	0.974300i	$-0.572321\pi$
$521$	2.55640	−	0.750628i	0.111998	−	0.0328856i	0.337251	+	0.941415i	$0.390503\pi$
$522$	−6.48382	−	4.16689i	−0.283789	−	0.182380i
$523$	5.20076	−	6.00199i	0.227413	−	0.262449i	−0.630563	−	0.776138i	$-0.717176\pi$
$523$	5.20076	−	6.00199i	0.227413	−	0.262449i	0.857976	+	0.513689i	$0.171722\pi$
$524$	−5.45908	+	6.30012i	−0.238481	+	0.275222i
$525$	−1.28249	−	2.80826i	−0.0559725	−	0.122563i
$526$	0.197780	+	1.37559i	0.00862362	+	0.0599786i
$527$	−0.376791	−	0.110636i	−0.0164133	−	0.00481938i
$528$	−2.51962	−	2.90780i	−0.109652	−	0.126546i
$529$	16.3730	+	4.80755i	0.711870	+	0.209024i
$530$	−2.45976	+	5.38613i	−0.106845	+	0.233958i
$531$	3.26964	+	7.15950i	0.141890	+	0.310696i
$532$	0.383650	+	0.246557i	0.0166334	+	0.0106896i
$533$	3.39448	−	23.6091i	0.147031	−	1.02263i
$534$	−47.1624	−	13.8481i	−2.04092	−	0.599267i
$535$	10.2032			0.441123
$536$	−4.27436	−	6.98068i	−0.184624	−	0.301519i
$537$	59.1459			2.55233
$538$	12.3848	+	3.63650i	0.533946	+	0.156781i
$539$	1.05869	−	7.36337i	0.0456012	−	0.317163i
$540$	9.63021	+	6.18896i	0.414418	+	0.266330i
$541$	−10.3406	−	22.6428i	−0.444578	−	0.973490i	−0.990735	−	0.135807i	$-0.956637\pi$
$541$	−10.3406	−	22.6428i	−0.444578	−	0.973490i	0.546157	−	0.837683i	$-0.316090\pi$
$542$	−2.53692	+	5.55507i	−0.108970	+	0.238611i
$543$	12.9081	+	3.79017i	0.553941	+	0.162652i
$544$	1.38977	+	1.60388i	0.0595858	+	0.0687657i
$545$	−6.07147	−	1.78275i	−0.260073	−	0.0763644i
$546$	−1.25836	−	8.75212i	−0.0538530	−	0.374556i
$547$	10.8899	+	23.8455i	0.465617	+	1.01956i	0.986171	+	0.165731i	$0.0529982\pi$
$547$	10.8899	+	23.8455i	0.465617	+	1.01956i	−0.520554	+	0.853829i	$0.674274\pi$
$548$	−13.3283	+	15.3817i	−0.569359	+	0.657075i
$549$	44.5472	−	51.4102i	1.90123	−	2.19413i
$550$	−1.04037	−	0.668605i	−0.0443615	−	0.0285094i
$551$	0.508823	−	0.149404i	0.0216766	−	0.00636482i
$552$	3.14881	+	6.89492i	0.134022	+	0.293467i
$553$	4.92733	−	3.16660i	0.209531	−	0.134658i
$554$	−19.9968	−	12.8512i	−0.849583	−	0.545994i
$555$	−18.0765	+	5.30773i	−0.767304	+	0.225301i
$556$	0.684046	−	4.75764i	0.0290100	−	0.201769i
$557$	−2.08661	+	4.56903i	−0.0884124	+	0.193596i	−0.948673	−	0.316258i	$-0.897573\pi$
$557$	−2.08661	+	4.56903i	−0.0884124	+	0.193596i	0.860261	+	0.509854i	$0.170301\pi$
$558$	0.175896	+	1.22339i	0.00744629	+	0.0517901i
$559$	−3.35136	+	23.3092i	−0.141747	+	0.985874i
$560$	−0.834783	+	0.536483i	−0.0352760	+	0.0226705i
$561$	−5.34723	+	6.17103i	−0.225760	+	0.260541i
$562$	20.9265	−	13.4486i	0.882730	−	0.567296i
$563$	9.71964	−	21.2830i	0.409634	−	0.896973i	−0.586568	−	0.809900i	$-0.699521\pi$
$563$	9.71964	−	21.2830i	0.409634	−	0.896973i	0.996202	−	0.0870734i	$-0.0277515\pi$
$564$	16.6215	+	19.1822i	0.699891	+	0.807717i
$565$	17.3544			0.730106
$566$	21.0244			0.883720
$567$	10.1221	+	11.6816i	0.425090	+	0.490580i
$568$	1.50442	+	10.4635i	0.0631242	+	0.439038i
$569$	−18.9831	+	5.57393i	−0.795811	+	0.233671i	−0.654270	−	0.756261i	$-0.727024\pi$
$569$	−18.9831	+	5.57393i	−0.795811	+	0.233671i	−0.141541	+	0.989932i	$0.545206\pi$
$570$	−1.37192	+	0.402832i	−0.0574635	+	0.0168728i
$571$	−3.42441	−	23.8173i	−0.143307	−	0.996724i	−0.926862	−	0.375402i	$-0.877505\pi$
$571$	−3.42441	−	23.8173i	−0.143307	−	0.996724i	0.783555	−	0.621322i	$-0.213404\pi$
$572$	−2.31950	−	2.67684i	−0.0969831	−	0.111924i
$573$	−2.71748			−0.113524
$574$	−8.26392			−0.344929
$575$	1.59547	+	1.84126i	0.0665355	+	0.0767861i
$576$	2.77475	−	6.07585i	0.115614	−	0.253160i
$577$	−2.89875	+	1.86291i	−0.120676	+	0.0775540i	−0.599587	−	0.800310i	$-0.704668\pi$
$577$	−2.89875	+	1.86291i	−0.120676	+	0.0775540i	0.478910	+	0.877864i	$0.341032\pi$
$578$	−8.18322	+	9.44394i	−0.340377	+	0.392816i
$579$	39.2269	−	25.2096i	1.63022	−	1.04768i
$580$	−0.164215	+	1.14214i	−0.00681866	+	0.0474248i
$581$	1.78797	+	12.4356i	0.0741774	+	0.515915i
$582$	−12.3662	+	27.0783i	−0.512597	+	1.12243i
$583$	−1.04213	+	7.24818i	−0.0431606	+	0.300189i
$584$	−1.30648	+	0.383617i	−0.0540625	+	0.0158742i
$585$	16.0936	+	10.3427i	0.665387	+	0.427618i
$586$	−10.5075	+	6.75274i	−0.434060	+	0.278953i
$587$	−1.93479	−	4.23661i	−0.0798575	−	0.174863i	0.865492	−	0.500923i	$-0.167006\pi$
$587$	−1.93479	−	4.23661i	−0.0798575	−	0.174863i	−0.945349	+	0.326060i	$0.894279\pi$
$588$	17.9567	−	5.27256i	0.740521	−	0.217437i
$589$	−0.0715410	−	0.0459766i	−0.00294779	−	0.00189443i
$590$	0.771659	−	0.890541i	0.0317687	−	0.0366630i
$591$	−21.7487	+	25.0993i	−0.894622	+	1.03245i
$592$	2.51553	+	5.50823i	0.103387	+	0.226387i
$593$	2.75916	+	19.1904i	0.113305	+	0.788055i	0.964666	+	0.263475i	$0.0848686\pi$
$593$	2.75916	+	19.1904i	0.113305	+	0.788055i	−0.851361	+	0.524580i	$0.824222\pi$
$594$	13.5835	+	3.98848i	0.557338	+	0.163649i
$595$	1.37908	+	1.59154i	0.0565367	+	0.0652468i
$596$	7.07520	+	2.07747i	0.289812	+	0.0850964i
$597$	34.5001	−	75.5447i	1.41200	−	3.09184i
$598$	2.89871	+	6.34729i	0.118537	+	0.259560i
$599$	−21.5081	−	13.8224i	−0.878796	−	0.564768i	0.0216357	−	0.999766i	$-0.493113\pi$
$599$	−21.5081	−	13.8224i	−0.878796	−	0.564768i	−0.900431	+	0.434998i	$0.856749\pi$
$600$	0.442767	−	3.07951i	0.0180759	−	0.125721i
$601$	10.1534	+	2.98131i	0.414166	+	0.121610i	0.482176	−	0.876075i	$-0.339847\pi$
$601$	10.1534	+	2.98131i	0.414166	+	0.121610i	−0.0680099	+	0.997685i	$0.521665\pi$
$602$	8.15893			0.332533
$603$	49.2266	+	23.7897i	2.00466	+	0.968793i
$604$	−11.9750			−0.487256
$605$	9.08697	+	2.66818i	0.369438	+	0.108477i
$606$	−5.96676	+	41.4998i	−0.242383	+	1.68581i
$607$	29.1716	+	18.7475i	1.18404	+	0.760937i	0.976125	−	0.217210i	$-0.0696957\pi$
$607$	29.1716	+	18.7475i	1.18404	+	0.760937i	0.207916	+	0.978147i	$0.433332\pi$
$608$	0.190917	+	0.418050i	0.00774270	+	0.0169541i
$609$	−1.47985	+	3.24042i	−0.0599665	+	0.131308i
$610$	−9.77175	−	2.86924i	−0.395647	−	0.116172i
$611$	15.3013	+	17.6586i	0.619024	+	0.714392i
$612$	−13.6012	−	3.99366i	−0.549794	−	0.161434i
$613$	2.75603	+	19.1686i	0.111315	+	0.774214i	0.966643	+	0.256127i	$0.0824465\pi$
$613$	2.75603	+	19.1686i	0.111315	+	0.774214i	−0.855328	+	0.518087i	$0.826644\pi$
$614$	5.87879	+	12.8728i	0.237249	+	0.519502i
$615$	16.9673	−	19.5814i	0.684189	−	0.789596i
$616$	−0.803631	+	0.927440i	−0.0323792	+	0.0373676i
$617$	2.13693	+	1.37332i	0.0860295	+	0.0552878i	0.582948	−	0.812509i	$-0.301899\pi$
$617$	2.13693	+	1.37332i	0.0860295	+	0.0552878i	−0.496919	+	0.867797i	$0.665535\pi$
$618$	8.15364	−	2.39413i	0.327988	−	0.0963058i
$619$	4.58184	+	10.0328i	0.184160	+	0.403253i	0.979084	−	0.203455i	$-0.0652170\pi$
$619$	4.58184	+	10.0328i	0.184160	+	0.403253i	−0.794925	+	0.606708i	$0.792490\pi$
$620$	0.155666	−	0.100040i	0.00625168	−	0.00401771i
$621$	−23.4625	−	15.0784i	−0.941517	−	0.605077i
$622$	−2.98144	+	0.875430i	−0.119545	+	0.0351016i
$623$	−2.23113	+	15.5179i	−0.0893884	+	0.621710i
$624$	3.70162	−	8.10542i	0.148183	−	0.324476i
$625$	−0.142315	−	0.989821i	−0.00569259	−	0.0395929i
$626$	−0.405190	+	2.81816i	−0.0161947	+	0.112636i
$627$	−1.48756	+	0.955999i	−0.0594075	+	0.0381789i
$628$	−8.46114	+	9.76467i	−0.337636	+	0.389653i
$629$	10.8110	−	6.94782i	0.431064	−	0.277028i
$630$	2.75340	−	6.02912i	0.109698	−	0.240206i
$631$	0.154591	+	0.178407i	0.00615417	+	0.00710229i	0.758818	−	0.651302i	$-0.225777\pi$
$631$	0.154591	+	0.178407i	0.00615417	+	0.00710229i	−0.752664	+	0.658405i	$0.771232\pi$
$632$	5.90252			0.234790
$633$	71.4207			2.83872
$634$	−17.6565	−	20.3767i	−0.701230	−	0.809263i
$635$	−1.03885	−	7.22534i	−0.0412254	−	0.286729i
$636$	−17.6758	+	5.19007i	−0.700889	+	0.205800i
$637$	16.5305	−	4.85378i	0.654961	−	0.192314i
$638$	0.203083	+	1.41247i	0.00804014	+	0.0559204i
$639$	−46.2391	−	53.3628i	−1.82919	−	2.11100i
$640$	−1.00000			−0.0395285
$641$	21.7320			0.858361			0.429180	−	0.903219i	$-0.358802\pi$
$641$	21.7320			0.858361			0.429180	+	0.903219i	$0.358802\pi$
$642$	20.7879	+	23.9906i	0.820434	+	0.946832i
$643$	−11.7139	+	25.6499i	−0.461951	+	1.01153i	0.525087	+	0.851049i	$0.324033\pi$
$643$	−11.7139	+	25.6499i	−0.461951	+	1.01153i	−0.987038	+	0.160484i	$0.948694\pi$
$644$	2.03382	−	1.30706i	0.0801437	−	0.0515052i
$645$	−16.7518	+	19.3326i	−0.659601	+	0.761220i
$646$	0.820507	−	0.527308i	0.0322824	−	0.0207466i
$647$	3.04745	−	21.1955i	0.119808	−	0.833282i	−0.837959	−	0.545734i	$-0.816251\pi$
$647$	3.04745	−	21.1955i	0.119808	−	0.833282i	0.957766	−	0.287548i	$-0.0928400\pi$
$648$	2.21680	+	15.4182i	0.0870842	+	0.605684i
$649$	0.605368	−	1.32557i	0.0237628	−	0.0520332i
$650$	0.407600	−	2.83492i	0.0159874	−	0.111195i
$651$	0.548126	−	0.160944i	0.0214827	−	0.00630790i
$652$	10.8746	+	6.98868i	0.425882	+	0.273698i
$653$	−28.7917	+	18.5033i	−1.12671	+	0.724091i	−0.964870	−	0.262726i	$-0.915378\pi$
$653$	−28.7917	+	18.5033i	−1.12671	+	0.724091i	−0.161837	+	0.986817i	$0.551742\pi$
$654$	−8.17824	−	17.9079i	−0.319795	−	0.700253i
$655$	−7.99857	+	2.34859i	−0.312530	+	0.0917671i
$656$	−7.00594	−	4.50244i	−0.273536	−	0.175791i
$657$	5.95595	−	6.87353i	0.232364	−	0.268162i
$658$	5.30141	−	6.11815i	0.206670	−	0.238510i
$659$	17.6900	+	38.7356i	0.689103	+	1.50892i	0.852702	+	0.522398i	$0.174962\pi$
$659$	17.6900	+	38.7356i	0.689103	+	1.50892i	−0.163599	+	0.986527i	$0.552310\pi$
$660$	−0.547566	−	3.80841i	−0.0213140	−	0.148242i
$661$	−35.8211	−	10.5180i	−1.39328	−	0.409104i	−0.502909	−	0.864339i	$-0.667737\pi$
$661$	−35.8211	−	10.5180i	−1.39328	−	0.409104i	−0.890371	+	0.455235i	$0.849555\pi$
$662$	−4.39598	−	5.07324i	−0.170855	−	0.197177i
$663$	−18.1445	−	5.32770i	−0.704673	−	0.206911i
$664$	−5.25951	+	11.5167i	−0.204108	+	0.446935i
$665$	0.189448	+	0.414834i	0.00734650	+	0.0160866i
$666$	−34.0263	−	21.8674i	−1.31849	−	0.847343i
$667$	0.400084	−	2.78265i	0.0154913	−	0.107744i
$668$	7.35287	+	2.15900i	0.284491	+	0.0835341i
$669$	35.6796			1.37945
$670$	0.178222	−	8.18341i	0.00688531	−	0.316153i
$671$	−12.5948			−0.486217
$672$	−2.96220	−	0.869780i	−0.114269	−	0.0335525i
$673$	5.58262	−	38.8280i	0.215194	−	1.49671i	−0.540255	−	0.841501i	$-0.681672\pi$
$673$	5.58262	−	38.8280i	0.215194	−	1.49671i	0.755449	−	0.655207i	$-0.227419\pi$
$674$	−14.2270	−	9.14316i	−0.548005	−	0.352181i
$675$	4.75544	+	10.4130i	0.183037	+	0.400795i
$676$	−1.99278	+	4.36358i	−0.0766454	+	0.167830i
$677$	−15.3378	−	4.50358i	−0.589479	−	0.173087i	−0.0266285	−	0.999645i	$-0.508477\pi$
$677$	−15.3378	−	4.50358i	−0.589479	−	0.173087i	−0.562850	+	0.826559i	$0.690295\pi$
$678$	35.3577	+	40.8050i	1.35791	+	1.56711i
$679$	9.11001	+	2.67494i	0.349610	+	0.102655i
$680$	0.302025	+	2.10063i	0.0115821	+	0.0805556i
$681$	−5.47387	−	11.9861i	−0.209759	−	0.459309i
$682$	0.149857	−	0.172944i	0.00573831	−	0.00662236i
$683$	6.83564	−	7.88875i	0.261559	−	0.301855i	−0.609746	−	0.792597i	$-0.708729\pi$
$683$	6.83564	−	7.88875i	0.261559	−	0.301855i	0.871305	+	0.490742i	$0.163274\pi$
$684$	−2.58244	−	1.65963i	−0.0987420	−	0.0634576i
$685$	−19.5285	+	5.73409i	−0.746146	+	0.219088i
$686$	−5.36518	−	11.7481i	−0.204843	−	0.448544i
$687$	20.4368	−	13.1340i	0.779714	−	0.501092i
$688$	6.91693	+	4.44524i	0.263706	+	0.169473i
$689$	−16.2718	+	4.77784i	−0.619908	+	0.182021i
$690$	−1.07873	+	7.50275i	−0.0410667	+	0.285625i
$691$	0.890296	−	1.94948i	0.0338685	−	0.0741616i	−0.891942	−	0.452150i	$-0.850657\pi$
$691$	0.890296	−	1.94948i	0.0338685	−	0.0741616i	0.925810	+	0.377989i	$0.123384\pi$
$692$	−2.04179	−	14.2009i	−0.0776171	−	0.539839i
$693$	1.16654	−	8.11345i	0.0443131	−	0.308205i
$694$	18.2724	−	11.7430i	0.693612	−	0.445757i
$695$	3.14763	−	3.63256i	0.119396	−	0.137791i
$696$	−3.02006	+	1.94087i	−0.114475	+	0.0735686i
$697$	−7.34201	+	16.0767i	−0.278098	+	0.608950i
$698$	−6.34693	−	7.32475i	−0.240235	−	0.277246i
$699$	28.6849			1.08496
$700$	−0.992309			−0.0375058
$701$	17.9008	+	20.6587i	0.676105	+	0.780267i	0.985319	−	0.170726i	$-0.0546113\pi$
$701$	17.9008	+	20.6587i	0.676105	+	0.780267i	−0.309214	+	0.950993i	$0.600066\pi$
$702$	4.66598	+	32.4526i	0.176106	+	1.22485i
$703$	2.67024	−	0.784053i	0.100710	−	0.0295711i
$704$	−1.18660	+	0.348416i	−0.0447215	+	0.0131314i
$705$	3.61219	+	25.1234i	0.136043	+	0.946200i
$706$	21.3431	+	24.6312i	0.803257	+	0.927008i
$707$	13.3724			0.502922
$708$	3.66608			0.137780
$709$	−30.8980	−	35.6582i	−1.16040	−	1.33917i	−0.930645	−	0.365925i	$-0.880753\pi$
$709$	−30.8980	−	35.6582i	−1.16040	−	1.33917i	−0.229755	−	0.973248i	$-0.573793\pi$
$710$	−4.39139	+	9.61580i	−0.164806	+	0.360875i
$711$	−33.1670	+	21.3151i	−1.24386	+	0.799379i
$712$	−10.3461	+	11.9401i	−0.387737	+	0.447472i
$713$	−0.379255	+	0.243732i	−0.0142032	+	0.00912785i
$714$	−0.932429	+	6.48519i	−0.0348953	+	0.242702i
$715$	−0.504075	−	3.50592i	−0.0188513	−	0.131114i
$716$	7.89735	−	17.2928i	0.295138	−	0.646262i
$717$	5.50789	−	38.3082i	0.205696	−	1.43065i
$718$	13.8462	−	4.06561i	0.516736	−	0.151727i
$719$	9.69680	+	6.23175i	0.361629	+	0.232405i	0.708820	−	0.705389i	$-0.249228\pi$
$719$	9.69680	+	6.23175i	0.361629	+	0.232405i	−0.347190	+	0.937795i	$0.612864\pi$
$720$	5.61911	−	3.61119i	0.209412	−	0.134581i
$721$	−1.12594	−	2.46545i	−0.0419320	−	0.0918183i
$722$	−18.0277	+	5.29341i	−0.670922	+	0.197000i
$723$	5.45978	+	3.50879i	0.203051	+	0.130493i
$724$	2.83168	−	3.26794i	0.105239	−	0.121452i
$725$	−0.755634	+	0.872048i	−0.0280636	+	0.0323871i
$726$	12.2401	+	26.8021i	0.454273	+	0.994718i
$727$	4.68652	+	32.5954i	0.173813	+	1.20890i	0.870736	+	0.491751i	$0.163643\pi$
$727$	4.68652	+	32.5954i	0.173813	+	1.20890i	−0.696922	+	0.717147i	$0.745448\pi$
$728$	−2.72692	−	0.800697i	−0.101066	−	0.0296758i
$729$	1.83436	+	2.11696i	0.0679392	+	0.0784060i
$730$	−1.30648	−	0.383617i	−0.0483550	−	0.0141983i
$731$	7.24873	−	15.8725i	0.268104	−	0.587066i
$732$	−13.1625	−	28.8218i	−0.486500	−	1.06529i
$733$	−16.8711	−	10.8424i	−0.623149	−	0.400474i	0.190618	−	0.981664i	$-0.438951\pi$
$733$	−16.8711	−	10.8424i	−0.623149	−	0.400474i	−0.813768	+	0.581190i	$0.802587\pi$
$734$	−3.15222	+	21.9242i	−0.116351	+	0.809236i
$735$	17.9567	+	5.27256i	0.662342	+	0.194481i
$736$	2.43634			0.0898048
$737$	−2.63975	−	9.77250i	−0.0972366	−	0.359975i
$738$	55.6263			2.04763
$739$	26.9911	+	7.92530i	0.992883	+	0.291537i	0.737533	−	0.675312i	$-0.235991\pi$
$739$	26.9911	+	7.92530i	0.992883	+	0.291537i	0.255351	+	0.966848i	$0.417809\pi$
$740$	−0.861781	+	5.99382i	−0.0316797	+	0.220337i
$741$	−3.44507	−	2.21401i	−0.126558	−	0.0813338i
$742$	2.44084	+	5.34470i	0.0896062	+	0.196210i
$743$	16.8776	−	36.9568i	0.619179	−	1.35581i	−0.296935	−	0.954898i	$-0.595965\pi$
$743$	16.8776	−	36.9568i	0.619179	−	1.35581i	0.916115	−	0.400916i	$-0.131308\pi$
$744$	0.552374	+	0.162192i	0.0202510	+	0.00594623i
$745$	4.82888	+	5.57282i	0.176916	+	0.204172i
$746$	21.5079	+	6.31528i	0.787459	+	0.231219i
$747$	−12.0352	−	83.7068i	−0.440346	−	3.06267i
$748$	1.09028	+	2.38737i	0.0398644	+	0.0872909i
$749$	6.63030	−	7.65177i	0.242266	−	0.279590i
$750$	2.03739	−	2.35127i	0.0743950	−	0.0858564i
$751$	−31.2110	−	20.0581i	−1.13891	−	0.731931i	−0.171506	−	0.985183i	$-0.554863\pi$
$751$	−31.2110	−	20.0581i	−1.13891	−	0.731931i	−0.967400	+	0.253253i	$0.918500\pi$
$752$	7.82775	−	2.29844i	0.285449	−	0.0838153i
$753$	32.0480	+	70.1753i	1.16789	+	2.55733i
$754$	−2.78019	+	1.78672i	−0.101248	+	0.0650684i
$755$	−10.0740	−	6.47418i	−0.366631	−	0.235620i
$756$	10.8993	−	3.20032i	0.396403	−	0.116394i
$757$	−3.60169	+	25.0503i	−0.130906	+	0.910469i	0.813472	+	0.581605i	$0.197575\pi$
$757$	−3.60169	+	25.0503i	−0.130906	+	0.910469i	−0.944377	+	0.328864i	$0.893334\pi$
$758$	10.9279	−	23.9287i	0.396918	−	0.869128i
$759$	1.33406	+	9.27858i	0.0484233	+	0.336791i
$760$	−0.0654052	+	0.454903i	−0.00237250	+	0.0165011i
$761$	19.4598	−	12.5061i	0.705418	−	0.453344i	−0.138119	−	0.990416i	$-0.544106\pi$
$761$	19.4598	−	12.5061i	0.705418	−	0.453344i	0.843537	+	0.537071i	$0.180469\pi$
$762$	14.8722	−	17.1635i	0.538764	−	0.621766i
$763$	−5.28234	+	3.39475i	−0.191233	+	0.122898i
$764$	−0.362847	+	0.794524i	−0.0131273	+	0.0287449i
$765$	−9.28289	−	10.7130i	−0.335624	−	0.387330i
$766$	11.6968			0.422622
$767$	3.37490			0.121860
$768$	−2.03739	−	2.35127i	−0.0735180	−	0.0848443i
$769$	4.68109	+	32.5577i	0.168804	+	1.17406i	0.881360	+	0.472445i	$0.156628\pi$
$769$	4.68109	+	32.5577i	0.168804	+	1.17406i	−0.712556	+	0.701615i	$0.752463\pi$
$770$	−1.17747	+	0.345736i	−0.0424331	+	0.0124595i
$771$	64.8254	−	19.0345i	2.33463	−	0.685509i
$772$	−2.13296	−	14.8350i	−0.0767668	−	0.533925i
$773$	29.0608	+	33.5380i	1.04525	+	1.20628i	0.978014	+	0.208541i	$0.0668715\pi$
$773$	29.0608	+	33.5380i	1.04525	+	1.20628i	0.0672325	+	0.997737i	$0.478583\pi$
$774$	−54.9196			−1.97405
$775$	0.185040			0.00664684
$776$	6.26584	+	7.23116i	0.224930	+	0.259584i
$777$	−7.76607	+	17.0053i	−0.278606	+	0.610062i
$778$	−16.9440	+	10.8893i	−0.607473	+	0.390399i
$779$	−2.50640	+	2.89254i	−0.0898011	+	0.103636i
$780$	7.49612	−	4.81746i	0.268404	−	0.172493i
$781$	−1.86051	+	12.9401i	−0.0665741	+	0.463033i
$782$	−0.735837	−	5.11786i	−0.0263135	−	0.183014i
$783$	5.48724	−	12.0154i	0.196098	−	0.429394i
$784$	0.856070	−	5.95410i	0.0305739	−	0.212646i
$785$	−12.3971	+	3.64013i	−0.442473	+	0.129922i
$786$	−21.8184	−	14.0218i	−0.778237	−	0.500142i
$787$	14.3322	−	9.21071i	0.510886	−	0.328327i	−0.259671	−	0.965697i	$-0.583614\pi$
$787$	14.3322	−	9.21071i	0.510886	−	0.328327i	0.770557	+	0.637370i	$0.219978\pi$
$788$	4.43446	+	9.71012i	0.157971	+	0.345909i
$789$	−4.14858	+	1.21813i	−0.147693	+	0.0433667i
$790$	4.96552	+	3.19115i	0.176665	+	0.113536i
$791$	11.2773	−	13.0147i	0.400975	−	0.462750i
$792$	5.40942	−	6.24281i	0.192216	−	0.221829i
$793$	−12.1170	−	26.5326i	−0.430289	−	0.942202i
$794$	−1.81600	−	12.6305i	−0.0644473	−	0.448241i
$795$	−17.6758	−	5.19007i	−0.626894	−	0.184073i
$796$	−17.4808	−	20.1739i	−0.619591	−	0.715046i
$797$	−50.5550	−	14.8443i	−1.79075	−	0.525812i	−0.794115	−	0.607767i	$-0.792065\pi$
$797$	−50.5550	−	14.8443i	−1.79075	−	0.525812i	−0.996636	+	0.0819555i	$0.973883\pi$
$798$	−0.589409	+	1.29062i	−0.0208648	+	0.0456876i
$799$	−7.19235	−	15.7490i	−0.254447	−	0.557161i
$800$	−0.841254	−	0.540641i	−0.0297428	−	0.0191145i
$801$	15.0183	−	104.454i	0.530644	−	3.69071i
$802$	17.7970	+	5.22568i	0.628435	+	0.184525i
$803$	−1.68392			−0.0594243
$804$	19.6046	−	16.2538i	0.691399	−	0.573226i
$805$	2.41760			0.0852094
$806$	0.508501	+	0.149309i	0.0179112	+	0.00525920i
$807$	−5.71508	+	39.7492i	−0.201180	+	1.39924i
$808$	11.3368	+	7.28571i	0.398827	+	0.256311i
$809$	10.8219	+	23.6965i	0.380476	+	0.833126i	0.998882	+	0.0472677i	$0.0150514\pi$
$809$	10.8219	+	23.6965i	0.380476	+	0.833126i	−0.618406	+	0.785859i	$0.712221\pi$
$810$	−6.47082	+	14.1691i	−0.227361	+	0.497852i
$811$	4.84720	+	1.42327i	0.170208	+	0.0499776i	0.365726	−	0.930722i	$-0.380821\pi$
$811$	4.84720	+	1.42327i	0.170208	+	0.0499776i	−0.195518	+	0.980700i	$0.562639\pi$
$812$	0.749823	+	0.865341i	0.0263136	+	0.0303675i
$813$	−18.2302	−	5.35287i	−0.639361	−	0.187733i
$814$	1.06576	+	7.41250i	0.0373547	+	0.259808i
$815$	5.36993	+	11.7585i	0.188100	+	0.411883i
$816$	−4.32382	+	4.98995i	−0.151364	+	0.174683i
$817$	2.47456	−	2.85579i	0.0865738	−	0.0999115i
$818$	−4.77262	−	3.06718i	−0.166871	−	0.107241i
$819$	18.2144	−	5.34822i	0.636461	−	0.186882i
$820$	−3.45957	−	7.57539i	−0.120813	−	0.264544i
$821$	−37.5644	+	24.1412i	−1.31101	+	0.842534i	−0.994365	−	0.106011i	$-0.966192\pi$
$821$	−37.5644	+	24.1412i	−1.31101	+	0.842534i	−0.316643	+	0.948545i	$0.602556\pi$
$822$	−53.2696	−	34.2343i	−1.85799	−	1.19406i
$823$	33.6397	−	9.87752i	1.17261	−	0.344309i	0.363288	−	0.931677i	$-0.381654\pi$
$823$	33.6397	−	9.87752i	1.17261	−	0.344309i	0.809320	+	0.587368i	$0.199836\pi$
$824$	0.388718	−	2.70359i	0.0135416	−	0.0941841i
$825$	1.59834	−	3.49987i	0.0556470	−	0.121850i
$826$	−0.166408	−	1.15739i	−0.00579006	−	0.0402708i
$827$	6.37576	−	44.3444i	0.221707	−	1.54201i	−0.509873	−	0.860250i	$-0.670307\pi$
$827$	6.37576	−	44.3444i	0.221707	−	1.54201i	0.731580	−	0.681756i	$-0.238783\pi$
$828$	−13.6901	+	8.79809i	−0.475763	+	0.305755i
$829$	−31.0985	+	35.8896i	−1.08010	+	1.24650i	−0.112594	+	0.993641i	$0.535916\pi$
$829$	−31.0985	+	35.8896i	−1.08010	+	1.24650i	−0.967504	+	0.252857i	$0.918630\pi$
$830$	−10.6510	+	6.84497i	−0.369701	+	0.237592i
$831$	30.7214	−	67.2705i	1.06571	−	2.33359i
$832$	−1.87557	−	2.16452i	−0.0650237	−	0.0750413i
$833$	−12.7659			−0.442313
$834$	14.9541			0.517818
$835$	5.01839	+	5.79153i	0.173668	+	0.200424i
$836$	0.0808860	+	0.562574i	0.00279750	+	0.0194570i
$837$	−2.03243	+	0.596777i	−0.0702512	+	0.0206276i
$838$	−9.24547	+	2.71471i	−0.319379	+	0.0937782i
$839$	−3.31713	−	23.0711i	−0.114520	−	0.796504i	−0.963429	−	0.267965i	$-0.913649\pi$
$839$	−3.31713	−	23.0711i	−0.114520	−	0.796504i	0.848909	−	0.528539i	$-0.177260\pi$
$840$	−2.02172	−	2.33319i	−0.0697560	−	0.0805027i
$841$	−27.6685			−0.954088
$842$	−7.57344			−0.260998
$843$	50.6808	+	58.4888i	1.74554	+	2.01446i
$844$	9.53632	−	20.8816i	0.328254	−	0.718775i
$845$	−4.03557	+	2.59350i	−0.138828	+	0.0892191i
$846$	−35.6850	+	41.1826i	−1.22687	+	1.41589i
$847$	7.90590	−	5.08081i	0.271650	−	0.174579i
$848$	−0.842677	+	5.86094i	−0.0289376	+	0.201266i
$849$	9.30891	+	64.7449i	0.319481	+	2.22204i
$850$	−0.881608	+	1.93045i	−0.0302389	+	0.0662139i
$851$	2.09959	−	14.6030i	0.0719731	−	0.500584i
$852$	−31.5564	+	9.26579i	−1.08110	+	0.317441i
$853$	−4.47831	−	2.87804i	−0.153334	−	0.0985421i	0.461724	−	0.887024i	$-0.347231\pi$
$853$	−4.47831	−	2.87804i	−0.153334	−	0.0985421i	−0.615058	+	0.788482i	$0.710868\pi$
$854$	−8.50167	+	5.46369i	−0.290921	+	0.186964i
$855$	−1.27522	−	2.79234i	−0.0436116	−	0.0954961i
$856$	9.78991	−	2.87458i	0.334612	−	0.0982510i
$857$	4.36939	+	2.80804i	0.149256	+	0.0959207i	0.613137	−	0.789977i	$-0.289907\pi$
$857$	4.36939	+	2.80804i	0.149256	+	0.0959207i	−0.463882	+	0.885897i	$0.653544\pi$
$858$	7.21638	−	8.32815i	0.246363	−	0.284318i
$859$	3.70738	−	4.27854i	0.126494	−	0.145982i	−0.688969	−	0.724790i	$-0.741937\pi$
$859$	3.70738	−	4.27854i	0.126494	−	0.145982i	0.815464	+	0.578808i	$0.196482\pi$
$860$	3.41561	+	7.47915i	0.116471	+	0.255037i
$861$	−3.65900	−	25.4489i	−0.124698	−	0.867295i
$862$	−19.7666	−	5.80401i	−0.673255	−	0.197685i
$863$	33.4791	+	38.6369i	1.13964	+	1.31522i	0.942258	+	0.334889i	$0.108699\pi$
$863$	33.4791	+	38.6369i	1.13964	+	1.31522i	0.197383	+	0.980327i	$0.436756\pi$
$864$	10.9838	+	3.22512i	0.373675	+	0.109721i
$865$	5.95995	−	13.0505i	0.202644	−	0.443729i
$866$	−12.6408	−	27.6795i	−0.429551	−	0.940586i
$867$	−32.7060	−	21.0189i	−1.11075	−	0.713839i
$868$	0.0261314	−	0.181748i	0.000886958	−	0.00616893i
$869$	7.00391	+	2.05653i	0.237591	+	0.0697631i
$870$	−3.58995			−0.121711
$871$	18.0474	−	14.9628i	0.611514	−	0.506995i
$872$	−6.32779			−0.214286
$873$	−61.3215	−	18.0056i	−2.07542	−	0.609398i
$874$	0.159349	−	1.10830i	0.00539008	−	0.0374888i
$875$	−0.834783	−	0.536483i	−0.0282208	−	0.0181364i
$876$	−1.75982	−	3.85347i	−0.0594588	−	0.130197i
$877$	−3.94531	+	8.63903i	−0.133224	+	0.291719i	−0.964473	−	0.264180i	$-0.914899\pi$
$877$	−3.94531	+	8.63903i	−0.133224	+	0.291719i	0.831250	+	0.555899i	$0.187626\pi$
$878$	−37.6482	−	11.0545i	−1.27056	−	0.373071i
$879$	−25.4475	−	29.3680i	−0.858324	−	0.990559i
$880$	−1.18660	−	0.348416i	−0.0400001	−	0.0117451i
$881$	6.59898	+	45.8969i	0.222325	+	1.54631i	0.729209	+	0.684291i	$0.239888\pi$
$881$	6.59898	+	45.8969i	0.222325	+	1.54631i	−0.506884	+	0.862014i	$0.669203\pi$
$882$	16.6910	+	36.5482i	0.562015	+	1.23064i
$883$	−19.2259	+	22.1879i	−0.647003	+	0.746681i	−0.980597	−	0.196036i	$-0.937193\pi$
$883$	−19.2259	+	22.1879i	−0.647003	+	0.746681i	0.333594	+	0.942717i	$0.391739\pi$
$884$	−3.98040	+	4.59362i	−0.133875	+	0.154500i
$885$	3.08410	+	1.98203i	0.103671	+	0.0666253i
$886$	23.0341	−	6.76341i	0.773844	−	0.227221i
$887$	0.265133	+	0.580561i	0.00890230	+	0.0194933i	0.914031	−	0.405645i	$-0.132953\pi$
$887$	0.265133	+	0.580561i	0.00890230	+	0.0194933i	−0.905129	+	0.425138i	$0.860226\pi$
$888$	−15.8489	+	10.1855i	−0.531854	+	0.341802i
$889$	−6.09362	−	3.91613i	−0.204373	−	0.131343i
$890$	−15.1590	+	4.45108i	−0.508130	+	0.149201i
$891$	−2.74150	+	19.0675i	−0.0918437	+	0.638787i
$892$	4.76406	−	10.4318i	0.159512	−	0.349284i
$893$	−0.533590	−	3.71120i	−0.0178559	−	0.124191i
$894$	−3.26492	+	22.7080i	−0.109195	+	0.759470i
$895$	15.9929	−	10.2780i	0.534582	−	0.343555i
$896$	−0.649824	+	0.749937i	−0.0217091	+	0.0250536i
$897$	−18.2631	+	11.7370i	−0.609788	+	0.391887i
$898$	−14.3845	+	31.4976i	−0.480015	+	1.05109i
$899$	−0.139823	−	0.161364i	−0.00466335	−	0.00538179i
$900$	6.67945			0.222648
$901$	12.5662			0.418641
$902$	−6.74449	−	7.78356i	−0.224567	−	0.259164i
$903$	3.61251	+	25.1256i	0.120217	+	0.836126i
$904$	16.6514	−	4.88930i	0.553819	−	0.162616i
$905$	4.14894	−	1.21824i	0.137916	−	0.0404957i
$906$	−5.30215	−	36.8772i	−0.176152	−	1.22516i
$907$	33.0353	+	38.1247i	1.09692	+	1.26591i	0.961406	+	0.275135i	$0.0887224\pi$
$907$	33.0353	+	38.1247i	1.09692	+	1.26591i	0.135512	+	0.990776i	$0.456732\pi$
$908$	−4.23533			−0.140554
$909$	−90.0128			−2.98554
$910$	−1.86114	−	2.14787i	−0.0616963	−	0.0712013i
$911$	−18.7254	+	41.0030i	−0.620401	+	1.35849i	0.294826	+	0.955551i	$0.404738\pi$
$911$	−18.7254	+	41.0030i	−0.620401	+	1.35849i	−0.915227	+	0.402938i	$0.867989\pi$
$912$	−1.20286	+	0.773030i	−0.0398306	+	0.0255976i
$913$	−10.2535	+	11.8332i	−0.339342	+	0.391621i
$914$	−4.79260	+	3.08002i	−0.158525	+	0.101878i
$915$	4.50927	−	31.3627i	0.149072	−	1.03682i
$916$	−1.11125	−	7.72891i	−0.0367167	−	0.255370i
$917$	−3.43637	+	7.52460i	−0.113479	+	0.248484i
$918$	3.45742	−	24.0469i	0.114112	−	0.793666i
$919$	−50.9413	+	14.9577i	−1.68040	+	0.493410i	−0.976251	−	0.216643i	$-0.930489\pi$
$919$	−50.9413	+	14.9577i	−1.68040	+	0.493410i	−0.704148	+	0.710053i	$0.748671\pi$
$920$	2.04958	+	1.31719i	0.0675727	+	0.0434263i
$921$	−37.0389	+	23.8035i	−1.22047	+	0.784351i
$922$	3.34272	+	7.31954i	0.110087	+	0.241056i
$923$	−29.0500	+	8.52984i	−0.956191	+	0.280763i
$924$	−3.21189	−	2.06415i	−0.105663	−	0.0679057i
$925$	−3.96548	+	4.57641i	−0.130384	+	0.150471i
$926$	10.8424	−	12.5128i	0.356302	−	0.411195i
$927$	7.57892	+	16.5955i	0.248925	+	0.545069i
$928$	0.164215	+	1.14214i	0.00539062	+	0.0374926i
$929$	−35.0405	−	10.2888i	−1.14964	−	0.337566i	−0.349243	−	0.937032i	$-0.613561\pi$
$929$	−35.0405	−	10.2888i	−1.14964	−	0.337566i	−0.800400	+	0.599467i	$0.795379\pi$
$930$	0.376999	+	0.435080i	0.0123623	+	0.0142668i
$931$	−2.65254	−	0.778857i	−0.0869336	−	0.0255260i
$932$	3.83011	−	8.38676i	0.125459	−	0.274717i
$933$	−4.01599	−	8.79378i	−0.131477	−	0.287895i
$934$	−17.6550	−	11.3462i	−0.577689	−	0.371258i
$935$	−0.373512	+	2.59783i	−0.0122151	+	0.0849582i
$936$	18.3555	+	5.38967i	0.599969	+	0.176167i
$937$	−52.2116			−1.70568			−0.852839	−	0.522175i	$-0.825121\pi$
$937$	−52.2116			−1.70568			−0.852839	+	0.522175i	$0.825121\pi$
$938$	−6.02123	−	5.45143i	−0.196600	−	0.177996i
$939$	−8.85797			−0.289069
$940$	7.82775	+	2.29844i	0.255313	+	0.0749667i
$941$	−5.10901	+	35.5340i	−0.166549	+	1.15837i	0.719402	+	0.694594i	$0.244416\pi$
$941$	−5.10901	+	35.5340i	−0.166549	+	1.15837i	−0.885951	+	0.463780i	$0.846493\pi$
$942$	−33.8168	−	21.7327i	−1.10181	−	0.708090i
$943$	8.42869	+	18.4562i	0.274476	+	0.601018i
$944$	0.489506	−	1.07187i	0.0159321	−	0.0348864i
$945$	10.8993	+	3.20032i	0.354553	+	0.104106i
$946$	6.65881	+	7.68468i	0.216497	+	0.249850i
$947$	−16.7758	−	4.92581i	−0.545139	−	0.160067i	−0.00244385	−	0.999997i	$-0.500778\pi$
$947$	−16.7758	−	4.92581i	−0.545139	−	0.160067i	−0.542695	+	0.839930i	$0.682596\pi$
$948$	2.61345	+	18.1769i	0.0848808	+	0.590359i
$949$	−1.62004	−	3.54740i	−0.0525889	−	0.115154i
$950$	−0.300961	+	0.347328i	−0.00976448	+	0.0112688i
$951$	54.9327	−	63.3957i	1.78131	−	2.05575i
$952$	1.77161	+	1.13854i	0.0574181	+	0.0369003i
$953$	46.9924	−	13.7982i	1.52223	−	0.446968i	0.589571	−	0.807717i	$-0.299297\pi$
$953$	46.9924	−	13.7982i	1.52223	−	0.446968i	0.932663	+	0.360748i	$0.117479\pi$
$954$	−16.4299	−	35.9764i	−0.531936	−	1.16478i
$955$	−0.734798	+	0.472226i	−0.0237775	+	0.0152809i
$956$	−10.4649	−	6.72540i	−0.338460	−	0.217515i
$957$	−4.25982	+	1.25080i	−0.137700	+	0.0404325i
$958$	1.40730	−	9.78796i	0.0454677	−	0.316235i
$959$	−8.38989	+	18.3713i	−0.270924	+	0.593240i
$960$	−0.442767	−	3.07951i	−0.0142903	−	0.0993909i
$961$	4.40689	−	30.6506i	0.142158	−	0.988728i
$962$	−14.5901	+	9.37647i	−0.470403	+	0.302310i
$963$	−44.6300	+	51.5058i	−1.43818	+	1.65975i
$964$	1.75489	−	1.12780i	0.0565212	−	0.0363240i
$965$	6.22607	−	13.6332i	0.200424	−	0.438868i
$966$	4.92561	+	5.68445i	0.158479	+	0.182894i
$967$	21.4077			0.688426			0.344213	−	0.938892i	$-0.388146\pi$
$967$	21.4077			0.688426			0.344213	+	0.938892i	$0.388146\pi$
$968$	9.47060			0.304396
$969$	1.98715	+	2.29329i	0.0638363	+	0.0736710i
$970$	1.36170	+	9.47081i	0.0437214	+	0.304089i
$971$	−37.2589	+	10.9402i	−1.19569	+	0.351087i	−0.818205	−	0.574927i	$-0.805031\pi$
$971$	−37.2589	+	10.9402i	−1.19569	+	0.351087i	−0.377489	+	0.926014i	$0.623212\pi$
$972$	−13.5478	+	3.97799i	−0.434546	+	0.127594i
$973$	−0.678785	−	4.72105i	−0.0217608	−	0.151350i
$974$	−16.9665	−	19.5804i	−0.543641	−	0.627396i
$975$	8.91065			0.285369
$976$	−10.1843			−0.325991
$977$	−15.0793	−	17.4025i	−0.482431	−	0.556755i	0.461396	−	0.887194i	$-0.347349\pi$
$977$	−15.0793	−	17.4025i	−0.482431	−	0.556755i	−0.943827	+	0.330439i	$0.892803\pi$
$978$	−16.7068	+	36.5829i	−0.534226	+	1.16979i
$979$	−16.4368	+	10.5633i	−0.525321	+	0.337603i
$980$	3.93920	−	4.54608i	0.125833	−	0.145219i
$981$	35.5566	−	22.8508i	1.13524	−	0.729571i
$982$	−2.06615	+	14.3704i	−0.0659334	+	0.458577i
$983$	3.42687	+	23.8344i	0.109300	+	0.760199i	0.968582	+	0.248696i	$0.0800020\pi$
$983$	3.42687	+	23.8344i	0.109300	+	0.760199i	−0.859282	+	0.511503i	$0.829089\pi$
$984$	10.7633	−	23.5684i	0.343123	−	0.751334i
$985$	−1.51918	+	10.5661i	−0.0484051	+	0.336665i
$986$	2.34962	−	0.689911i	0.0748272	−	0.0219712i
$987$	21.1882	+	13.6168i	0.674429	+	0.433429i
$988$	−1.10732	+	0.711631i	−0.0352285	+	0.0226400i
$989$	−8.32160	−	18.2218i	−0.264612	−	0.579419i
$990$	7.92581	−	2.32723i	0.251899	−	0.0739642i
$991$	−2.48955	−	1.59993i	−0.0790831	−	0.0508236i	0.500502	−	0.865736i	$-0.333149\pi$
$991$	−2.48955	−	1.59993i	−0.0790831	−	0.0508236i	−0.579585	+	0.814912i	$0.696785\pi$
$992$	0.121176	−	0.139844i	0.00384733	−	0.00444005i
$993$	13.6767	−	15.7838i	0.434017	−	0.500883i
$994$	4.35762	+	9.54185i	0.138215	+	0.302649i
$995$	−3.79895	−	26.4222i	−0.120435	−	0.837641i
$996$	−37.7946	−	11.0975i	−1.19757	−	0.351638i
$997$	16.2636	+	18.7692i	0.515072	+	0.594425i	0.952390	−	0.304882i	$-0.0986170\pi$
$997$	16.2636	+	18.7692i	0.515072	+	0.594425i	−0.437318	+	0.899307i	$0.644072\pi$
$998$	−20.7248	−	6.08536i	−0.656033	−	0.192629i
$999$	28.7964	−	63.0552i	0.911077	−	1.99498i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	670.2.k.c.131.1	✓	50
67.22	even	11	inner	670.2.k.c.491.1	yes	50

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
670.2.k.c.131.1	✓	50	1.1	even	1	trivial
670.2.k.c.491.1	yes	50	67.22	even	11	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:	\( N \)	\(=\)	\( 670 = 2 \cdot 5 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	670.k (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.959493 + 0.281733i) q^{2} +(-0.442767 + 3.07951i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(-1.29243 + 2.83003i) q^{6} +(0.952113 + 0.279566i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-6.40889 - 1.88182i) q^{9} +O(q^{10})\)	\(q+(0.959493 + 0.281733i) q^{2} +(-0.442767 + 3.07951i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(-1.29243 + 2.83003i) q^{6} +(0.952113 + 0.279566i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-6.40889 - 1.88182i) q^{9} +(0.142315 + 0.989821i) q^{10} +(0.513740 + 1.12493i) q^{11} +(-2.03739 + 2.35127i) q^{12} +(-1.87557 + 2.16452i) q^{13} +(0.834783 + 0.536483i) q^{14} +(-2.98516 + 0.876521i) q^{15} +(0.415415 + 0.909632i) q^{16} +(1.78534 - 1.14737i) q^{17} +(-5.61911 - 3.61119i) q^{18} +(0.440965 - 0.129479i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(-1.28249 + 2.80826i) q^{21} +(0.175999 + 1.22410i) q^{22} +(0.346728 - 2.41154i) q^{23} +(-2.61729 + 1.68203i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(-2.40941 + 1.54843i) q^{26} +(4.75544 - 10.4130i) q^{27} +(0.649824 + 0.749937i) q^{28} +1.15389 q^{29} -3.11118 q^{30} +(-0.121176 - 0.139844i) q^{31} +(0.142315 + 0.989821i) q^{32} +(-3.69172 + 1.08399i) q^{33} +(2.03627 - 0.597902i) q^{34} +(0.141220 + 0.982209i) q^{35} +(-4.37411 - 5.04800i) q^{36} +6.05545 q^{37} +0.459581 q^{38} +(-5.83524 - 6.73422i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(-7.00594 + 4.50244i) q^{41} +(-2.02172 + 2.33319i) q^{42} +(6.91693 - 4.44524i) q^{43} +(-0.175999 + 1.22410i) q^{44} +(-0.950586 - 6.61147i) q^{45} +(1.01209 - 2.21618i) q^{46} +(1.16104 - 8.07518i) q^{47} +(-2.98516 + 0.876521i) q^{48} +(-5.06041 - 3.25213i) q^{49} +(-0.841254 + 0.540641i) q^{50} +(2.74284 + 6.00599i) q^{51} +(-2.74806 + 0.806903i) q^{52} +(4.98124 + 3.20125i) q^{53} +(7.49649 - 8.65141i) q^{54} +(-0.809860 + 0.934628i) q^{55} +(0.412220 + 0.902636i) q^{56} +(0.203487 + 1.41529i) q^{57} +(1.10715 + 0.325087i) q^{58} +(-0.771659 - 0.890541i) q^{59} +(-2.98516 - 0.876521i) q^{60} +(-4.23071 + 9.26395i) q^{61} +(-0.0768684 - 0.168318i) q^{62} +(-5.57590 - 3.58341i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-2.74806 - 0.806903i) q^{65} -3.84757 q^{66} +(-8.07475 - 1.34103i) q^{67} +2.12223 q^{68} +(7.27287 + 2.13551i) q^{69} +(-0.141220 + 0.982209i) q^{70} +(8.89297 + 5.71516i) q^{71} +(-2.77475 - 6.07585i) q^{72} +(-0.565644 + 1.23859i) q^{73} +(5.81016 + 1.70602i) q^{74} +(-2.03739 - 2.35127i) q^{75} +(0.440965 + 0.129479i) q^{76} +(0.174646 + 1.21469i) q^{77} +(-3.70162 - 8.10542i) q^{78} +(3.86533 - 4.46083i) q^{79} +(-0.654861 + 0.755750i) q^{80} +(13.1040 + 8.42143i) q^{81} +(-7.99063 + 2.34626i) q^{82} +(5.25951 + 11.5167i) q^{83} +(-2.59716 + 1.66910i) q^{84} +(1.78534 + 1.14737i) q^{85} +(7.88912 - 2.31645i) q^{86} +(-0.510903 + 3.55341i) q^{87} +(-0.513740 + 1.12493i) q^{88} +(2.24843 + 15.6381i) q^{89} +(0.950586 - 6.61147i) q^{90} +(-2.39088 + 1.53653i) q^{91} +(1.59547 - 1.84126i) q^{92} +(0.484304 - 0.311243i) q^{93} +(3.38905 - 7.42098i) q^{94} +(0.300961 + 0.347328i) q^{95} -3.11118 q^{96} +9.56820 q^{97} +(-3.93920 - 4.54608i) q^{98} +(-1.17558 - 8.17634i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9}+O(q^{10}) \) 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9	\( 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9} + 5 q^{10} - 12 q^{11} - 2 q^{12} + 24 q^{13} + 23 q^{14} - 2 q^{15} - 5 q^{16} + 31 q^{17} + q^{18} + 4 q^{19} - 5 q^{20} + 12 q^{21} + q^{22} + 27 q^{23} - 9 q^{24} - 5 q^{25} - 2 q^{26} - 14 q^{27} + 10 q^{28} - 36 q^{29} + 2 q^{30} - 13 q^{31} + 5 q^{32} - 42 q^{33} + 2 q^{34} + 21 q^{35} - q^{36} - 50 q^{37} - 26 q^{38} - 31 q^{39} + 5 q^{40} - 10 q^{41} + 21 q^{42} + 16 q^{43} - q^{44} - q^{45} + 17 q^{46} - 13 q^{47} - 2 q^{48} - 40 q^{49} + 5 q^{50} - 19 q^{51} - 20 q^{52} - 5 q^{53} + 47 q^{54} + 10 q^{55} + 12 q^{56} - 90 q^{57} - 8 q^{58} - 20 q^{59} - 2 q^{60} + 12 q^{61} + 13 q^{62} - 15 q^{63} - 5 q^{64} - 20 q^{65} + 20 q^{66} - 21 q^{67} - 24 q^{68} + 77 q^{69} - 21 q^{70} + 24 q^{71} + 12 q^{72} - 68 q^{73} - 16 q^{74} - 2 q^{75} + 4 q^{76} + 7 q^{77} + 53 q^{78} - 26 q^{79} - 5 q^{80} - 21 q^{81} + 21 q^{82} - 10 q^{83} + 12 q^{84} + 31 q^{85} - 27 q^{86} + 61 q^{87} + 12 q^{88} + 51 q^{89} + q^{90} - 10 q^{91} - 6 q^{92} - 38 q^{93} - 9 q^{94} + 15 q^{95} + 2 q^{96} + 72 q^{97} - 37 q^{98} - 32 q^{99}+O(q^{100}) \) 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9 + 5 * q^10 - 12 * q^11 - 2 * q^12 + 24 * q^13 + 23 * q^14 - 2 * q^15 - 5 * q^16 + 31 * q^17 + q^18 + 4 * q^19 - 5 * q^20 + 12 * q^21 + q^22 + 27 * q^23 - 9 * q^24 - 5 * q^25 - 2 * q^26 - 14 * q^27 + 10 * q^28 - 36 * q^29 + 2 * q^30 - 13 * q^31 + 5 * q^32 - 42 * q^33 + 2 * q^34 + 21 * q^35 - q^36 - 50 * q^37 - 26 * q^38 - 31 * q^39 + 5 * q^40 - 10 * q^41 + 21 * q^42 + 16 * q^43 - q^44 - q^45 + 17 * q^46 - 13 * q^47 - 2 * q^48 - 40 * q^49 + 5 * q^50 - 19 * q^51 - 20 * q^52 - 5 * q^53 + 47 * q^54 + 10 * q^55 + 12 * q^56 - 90 * q^57 - 8 * q^58 - 20 * q^59 - 2 * q^60 + 12 * q^61 + 13 * q^62 - 15 * q^63 - 5 * q^64 - 20 * q^65 + 20 * q^66 - 21 * q^67 - 24 * q^68 + 77 * q^69 - 21 * q^70 + 24 * q^71 + 12 * q^72 - 68 * q^73 - 16 * q^74 - 2 * q^75 + 4 * q^76 + 7 * q^77 + 53 * q^78 - 26 * q^79 - 5 * q^80 - 21 * q^81 + 21 * q^82 - 10 * q^83 + 12 * q^84 + 31 * q^85 - 27 * q^86 + 61 * q^87 + 12 * q^88 + 51 * q^89 + q^90 - 10 * q^91 - 6 * q^92 - 38 * q^93 - 9 * q^94 + 15 * q^95 + 2 * q^96 + 72 * q^97 - 37 * q^98 - 32 * q^99

Introduction

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