LMFDB - Embedded newform 175.2.n.a.29.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [175,2,Mod(29,175)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(175, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([1, 0]))

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

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

chi := DirichletCharacter("175.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 175 = 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	175.n (of order $10$, degree $4$, 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:	$1.39738203537$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.8
Character	$\chi$	$=$	175.29
Dual form			175.2.n.a.169.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.225611 + 0.0733055i) q^{2} +(1.21485 - 1.67209i) q^{3} +(-1.57251 - 1.14249i) q^{4} +(-2.18117 - 0.492433i) q^{5} +(0.396656 - 0.288188i) q^{6} -1.00000i q^{7} +(-0.549895 - 0.756865i) q^{8} +(-0.392990 - 1.20950i) q^{9} +O(q^{10})$	\(q+(0.225611 + 0.0733055i) q^{2} +(1.21485 - 1.67209i) q^{3} +(-1.57251 - 1.14249i) q^{4} +(-2.18117 - 0.492433i) q^{5} +(0.396656 - 0.288188i) q^{6} -1.00000i q^{7} +(-0.549895 - 0.756865i) q^{8} +(-0.392990 - 1.20950i) q^{9} +(-0.455999 - 0.270990i) q^{10} +(0.360141 - 1.10840i) q^{11} +(-3.82071 + 1.24142i) q^{12} +(4.17602 - 1.35687i) q^{13} +(0.0733055 - 0.225611i) q^{14} +(-3.47318 + 3.04889i) q^{15} +(1.13271 + 3.48612i) q^{16} +(-0.554650 - 0.763410i) q^{17} -0.301685i q^{18} +(-0.0797700 + 0.0579563i) q^{19} +(2.86731 + 3.26633i) q^{20} +(-1.67209 - 1.21485i) q^{21} +(0.162504 - 0.223667i) q^{22} +(3.64202 + 1.18336i) q^{23} -1.93359 q^{24} +(4.51502 + 2.14816i) q^{25} +1.04162 q^{26} +(3.39717 + 1.10381i) q^{27} +(-1.14249 + 1.57251i) q^{28} +(-3.39202 - 2.46444i) q^{29} +(-1.00709 + 0.433260i) q^{30} +(6.01491 - 4.37009i) q^{31} +2.74061i q^{32} +(-1.41583 - 1.94873i) q^{33} +(-0.0691731 - 0.212893i) q^{34} +(-0.492433 + 2.18117i) q^{35} +(-0.763866 + 2.35094i) q^{36} +(-4.51960 + 1.46851i) q^{37} +(-0.0222455 + 0.00722800i) q^{38} +(2.80441 - 8.63108i) q^{39} +(0.826709 + 1.92164i) q^{40} +(-1.64822 - 5.07271i) q^{41} +(-0.288188 - 0.396656i) q^{42} +8.35273i q^{43} +(-1.83267 + 1.33151i) q^{44} +(0.261582 + 2.83165i) q^{45} +(0.734933 + 0.533960i) q^{46} +(-2.05576 + 2.82952i) q^{47} +(7.20518 + 2.34110i) q^{48} -1.00000 q^{49} +(0.861167 + 0.815625i) q^{50} -1.95031 q^{51} +(-8.11704 - 2.63738i) q^{52} +(-5.75647 + 7.92310i) q^{53} +(0.685524 + 0.498062i) q^{54} +(-1.33134 + 2.24027i) q^{55} +(-0.756865 + 0.549895i) q^{56} +0.203791i q^{57} +(-0.584619 - 0.804660i) q^{58} +(4.72384 + 14.5385i) q^{59} +(8.94494 - 0.826314i) q^{60} +(2.06352 - 6.35086i) q^{61} +(1.67738 - 0.545014i) q^{62} +(-1.20950 + 0.392990i) q^{63} +(2.06452 - 6.35392i) q^{64} +(-9.77678 + 0.903158i) q^{65} +(-0.176575 - 0.543443i) q^{66} +(0.383587 + 0.527962i) q^{67} +1.83415i q^{68} +(6.40318 - 4.65218i) q^{69} +(-0.270990 + 0.455999i) q^{70} +(-12.9102 - 9.37978i) q^{71} +(-0.699325 + 0.962539i) q^{72} +(11.0139 + 3.57865i) q^{73} -1.12732 q^{74} +(9.07698 - 4.93984i) q^{75} +0.191653 q^{76} +(-1.10840 - 0.360141i) q^{77} +(1.26541 - 1.74169i) q^{78} +(-10.0871 - 7.32873i) q^{79} +(-0.753952 - 8.16161i) q^{80} +(9.05929 - 6.58196i) q^{81} -1.26528i q^{82} +(-2.50714 - 3.45079i) q^{83} +(1.24142 + 3.82071i) q^{84} +(0.833859 + 1.93826i) q^{85} +(-0.612301 + 1.88447i) q^{86} +(-8.24156 + 2.67784i) q^{87} +(-1.03695 + 0.336926i) q^{88} +(0.0411818 - 0.126744i) q^{89} +(-0.148560 + 0.658027i) q^{90} +(-1.35687 - 4.17602i) q^{91} +(-4.37511 - 6.02183i) q^{92} -15.3665i q^{93} +(-0.671222 + 0.487672i) q^{94} +(0.202532 - 0.0871312i) q^{95} +(4.58256 + 3.32943i) q^{96} +(10.1145 - 13.9214i) q^{97} +(-0.225611 - 0.0733055i) q^{98} -1.48214 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9}+O(q^{10}) $ 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9	$ 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9} - 4 q^{10} + 8 q^{11} - 40 q^{12} - 4 q^{14} - 18 q^{15} - 32 q^{16} + 12 q^{19} + 12 q^{20} + 4 q^{21} - 30 q^{22} + 10 q^{23} - 28 q^{24} + 4 q^{25} + 12 q^{26} + 30 q^{27} - 2 q^{29} + 28 q^{30} + 12 q^{31} + 20 q^{33} + 2 q^{35} - 14 q^{36} - 70 q^{37} - 70 q^{38} - 4 q^{39} - 30 q^{40} + 4 q^{41} + 50 q^{42} + 22 q^{44} - 52 q^{45} - 4 q^{46} - 10 q^{47} + 30 q^{48} - 56 q^{49} - 54 q^{50} - 44 q^{51} - 20 q^{53} + 54 q^{54} - 2 q^{55} + 12 q^{56} + 10 q^{58} - 6 q^{59} + 16 q^{60} - 4 q^{61} + 50 q^{62} + 20 q^{63} + 24 q^{64} - 18 q^{65} - 74 q^{66} + 10 q^{67} - 78 q^{69} + 8 q^{70} - 8 q^{71} + 140 q^{72} + 40 q^{73} + 60 q^{74} - 8 q^{75} + 52 q^{76} - 20 q^{77} - 90 q^{78} + 124 q^{80} - 72 q^{81} - 30 q^{83} - 12 q^{84} + 96 q^{85} - 20 q^{86} + 30 q^{87} + 140 q^{88} + 38 q^{89} - 8 q^{90} + 8 q^{91} + 80 q^{92} + 88 q^{94} - 70 q^{95} - 28 q^{96} - 30 q^{97} + 60 q^{99}+O(q^{100}) $ 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9 - 4 * q^10 + 8 * q^11 - 40 * q^12 - 4 * q^14 - 18 * q^15 - 32 * q^16 + 12 * q^19 + 12 * q^20 + 4 * q^21 - 30 * q^22 + 10 * q^23 - 28 * q^24 + 4 * q^25 + 12 * q^26 + 30 * q^27 - 2 * q^29 + 28 * q^30 + 12 * q^31 + 20 * q^33 + 2 * q^35 - 14 * q^36 - 70 * q^37 - 70 * q^38 - 4 * q^39 - 30 * q^40 + 4 * q^41 + 50 * q^42 + 22 * q^44 - 52 * q^45 - 4 * q^46 - 10 * q^47 + 30 * q^48 - 56 * q^49 - 54 * q^50 - 44 * q^51 - 20 * q^53 + 54 * q^54 - 2 * q^55 + 12 * q^56 + 10 * q^58 - 6 * q^59 + 16 * q^60 - 4 * q^61 + 50 * q^62 + 20 * q^63 + 24 * q^64 - 18 * q^65 - 74 * q^66 + 10 * q^67 - 78 * q^69 + 8 * q^70 - 8 * q^71 + 140 * q^72 + 40 * q^73 + 60 * q^74 - 8 * q^75 + 52 * q^76 - 20 * q^77 - 90 * q^78 + 124 * q^80 - 72 * q^81 - 30 * q^83 - 12 * q^84 + 96 * q^85 - 20 * q^86 + 30 * q^87 + 140 * q^88 + 38 * q^89 - 8 * q^90 + 8 * q^91 + 80 * q^92 + 88 * q^94 - 70 * q^95 - 28 * q^96 - 30 * q^97 + 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{1}{10}\right)$

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 $

$2$	0.225611	+	0.0733055i	0.159531	+	0.0518348i	0.387694	−	0.921788i	$-0.373272\pi$
$2$	0.225611	+	0.0733055i	0.159531	+	0.0518348i	−0.228163	+	0.973623i	$0.573272\pi$
$3$	1.21485	−	1.67209i	0.701392	−	0.965383i	−0.298548	−	0.954395i	$-0.596502\pi$
$3$	1.21485	−	1.67209i	0.701392	−	0.965383i	0.999940	−	0.0109883i	$-0.00349774\pi$
$4$	−1.57251	−	1.14249i	−0.786254	−	0.571247i
$5$	−2.18117	−	0.492433i	−0.975450	−	0.220223i
$5$	−2.18117	−	0.492433i	−0.975450	−	0.220223i
$6$	0.396656	−	0.288188i	0.161934	−	0.117652i
$7$		−	1.00000i		−	0.377964i
$7$		−	1.00000i		−	0.377964i
$8$	−0.549895	−	0.756865i	−0.194417	−	0.267592i
$9$	−0.392990	−	1.20950i	−0.130997	−	0.403167i
$10$	−0.455999	−	0.270990i	−0.144199	−	0.0856946i
$11$	0.360141	−	1.10840i	0.108587	−	0.334196i	−0.881969	−	0.471308i	$-0.843782\pi$
$11$	0.360141	−	1.10840i	0.108587	−	0.334196i	0.990556	+	0.137112i	$0.0437821\pi$
$12$	−3.82071	+	1.24142i	−1.10294	+	0.358368i
$13$	4.17602	−	1.35687i	1.15822	−	0.376328i	0.333986	−	0.942578i	$-0.391606\pi$
$13$	4.17602	−	1.35687i	1.15822	−	0.376328i	0.824234	+	0.566250i	$0.191606\pi$
$14$	0.0733055	−	0.225611i	0.0195917	−	0.0602971i
$15$	−3.47318	+	3.04889i	−0.896772	+	0.787220i
$16$	1.13271	+	3.48612i	0.283177	+	0.871530i
$17$	−0.554650	−	0.763410i	−0.134522	−	0.185154i	0.736441	−	0.676501i	$-0.236505\pi$
$17$	−0.554650	−	0.763410i	−0.134522	−	0.185154i	−0.870964	+	0.491347i	$0.836505\pi$
$18$		−	0.301685i		−	0.0711078i
$19$	−0.0797700	+	0.0579563i	−0.0183005	+	0.0132961i	−0.596898	−	0.802317i	$-0.703600\pi$
$19$	−0.0797700	+	0.0579563i	−0.0183005	+	0.0132961i	0.578597	+	0.815613i	$0.303600\pi$
$20$	2.86731	+	3.26633i	0.641149	+	0.730373i
$21$	−1.67209	−	1.21485i	−0.364880	−	0.265101i
$22$	0.162504	−	0.223667i	0.0346459	−	0.0476860i
$23$	3.64202	+	1.18336i	0.759413	+	0.246748i	0.663027	−	0.748596i	$-0.269272\pi$
$23$	3.64202	+	1.18336i	0.759413	+	0.246748i	0.0963863	+	0.995344i	$0.469272\pi$
$24$	−1.93359			−0.394692
$25$	4.51502	+	2.14816i	0.903004	+	0.429632i
$26$	1.04162			0.204279
$27$	3.39717	+	1.10381i	0.653785	+	0.212428i
$28$	−1.14249	+	1.57251i	−0.215911	+	0.297176i
$29$	−3.39202	−	2.46444i	−0.629882	−	0.457636i	0.226478	−	0.974016i	$-0.427279\pi$
$29$	−3.39202	−	2.46444i	−0.629882	−	0.457636i	−0.856359	+	0.516381i	$0.827279\pi$
$30$	−1.00709	+	0.433260i	−0.183868	+	0.0791021i
$31$	6.01491	−	4.37009i	1.08031	−	0.784891i	0.102573	−	0.994726i	$-0.467293\pi$
$31$	6.01491	−	4.37009i	1.08031	−	0.784891i	0.977737	+	0.209835i	$0.0672926\pi$
$32$			2.74061i			0.484477i
$33$	−1.41583	−	1.94873i	−0.246465	−	0.339230i
$34$	−0.0691731	−	0.212893i	−0.0118631	−	0.0365108i
$35$	−0.492433	+	2.18117i	−0.0832364	+	0.368685i
$36$	−0.763866	+	2.35094i	−0.127311	+	0.391823i
$37$	−4.51960	+	1.46851i	−0.743018	+	0.241421i	−0.655974	−	0.754783i	$-0.727742\pi$
$37$	−4.51960	+	1.46851i	−0.743018	+	0.241421i	−0.0870439	+	0.996204i	$0.527742\pi$
$38$	−0.0222455	+	0.00722800i	−0.00360870	+	0.00117254i
$39$	2.80441	−	8.63108i	0.449065	−	1.38208i
$40$	0.826709	+	1.92164i	0.130714	+	0.303838i
$41$	−1.64822	−	5.07271i	−0.257409	−	0.792224i	−0.993345	−	0.115173i	$-0.963258\pi$
$41$	−1.64822	−	5.07271i	−0.257409	−	0.792224i	0.735936	−	0.677051i	$-0.236742\pi$
$42$	−0.288188	−	0.396656i	−0.0444683	−	0.0612054i
$43$			8.35273i			1.27378i	0.770955	+	0.636890i	$0.219779\pi$
$43$			8.35273i			1.27378i	−0.770955	+	0.636890i	$0.780221\pi$
$44$	−1.83267	+	1.33151i	−0.276285	+	0.200733i
$45$	0.261582	+	2.83165i	0.0389943	+	0.422117i
$46$	0.734933	+	0.533960i	0.108360	+	0.0787281i
$47$	−2.05576	+	2.82952i	−0.299864	+	0.412727i	−0.932187	−	0.361978i	$-0.882102\pi$
$47$	−2.05576	+	2.82952i	−0.299864	+	0.412727i	0.632323	+	0.774705i	$0.282102\pi$
$48$	7.20518	+	2.34110i	1.03998	+	0.337909i
$49$	−1.00000			−0.142857
$50$	0.861167	+	0.815625i	0.121787	+	0.115347i
$51$	−1.95031			−0.273098
$52$	−8.11704	−	2.63738i	−1.12563	−	0.365739i
$53$	−5.75647	+	7.92310i	−0.790712	+	1.08832i	0.203307	+	0.979115i	$0.434831\pi$
$53$	−5.75647	+	7.92310i	−0.790712	+	1.08832i	−0.994019	+	0.109207i	$0.965169\pi$
$54$	0.685524	+	0.498062i	0.0932880	+	0.0677777i
$55$	−1.33134	+	2.24027i	−0.179518	+	0.302078i
$56$	−0.756865	+	0.549895i	−0.101140	+	0.0734828i
$57$			0.203791i			0.0269927i
$58$	−0.584619	−	0.804660i	−0.0767643	−	0.105657i
$59$	4.72384	+	14.5385i	0.614992	+	1.89275i	0.401746	+	0.915751i	$0.368403\pi$
$59$	4.72384	+	14.5385i	0.614992	+	1.89275i	0.213246	+	0.976999i	$0.431597\pi$
$60$	8.94494	−	0.826314i	1.15479	−	0.106677i
$61$	2.06352	−	6.35086i	0.264207	−	0.813145i	−0.727668	−	0.685929i	$-0.759396\pi$
$61$	2.06352	−	6.35086i	0.264207	−	0.813145i	0.991875	−	0.127216i	$-0.0406040\pi$
$62$	1.67738	−	0.545014i	0.213028	−	0.0692169i
$63$	−1.20950	+	0.392990i	−0.152383	+	0.0495121i
$64$	2.06452	−	6.35392i	0.258064	−	0.794241i
$65$	−9.77678	+	0.903158i	−1.21266	+	0.112023i
$66$	−0.176575	−	0.543443i	−0.0217349	−	0.0668932i
$67$	0.383587	+	0.527962i	0.0468626	+	0.0645008i	0.831805	−	0.555068i	$-0.187308\pi$
$67$	0.383587	+	0.527962i	0.0468626	+	0.0645008i	−0.784943	+	0.619568i	$0.787308\pi$
$68$			1.83415i			0.222424i
$69$	6.40318	−	4.65218i	0.770853	−	0.560057i
$70$	−0.270990	+	0.455999i	−0.0323895	+	0.0545023i
$71$	−12.9102	−	9.37978i	−1.53215	−	1.11317i	−0.955027	−	0.296520i	$-0.904174\pi$
$71$	−12.9102	−	9.37978i	−1.53215	−	1.11317i	−0.577127	−	0.816655i	$-0.695826\pi$
$72$	−0.699325	+	0.962539i	−0.0824163	+	0.113436i
$73$	11.0139	+	3.57865i	1.28908	+	0.418849i	0.871771	−	0.489914i	$-0.162972\pi$
$73$	11.0139	+	3.57865i	1.28908	+	0.418849i	0.417314	+	0.908763i	$0.362972\pi$
$74$	−1.12732			−0.131049
$75$	9.07698	−	4.93984i	1.04812	−	0.570404i
$76$	0.191653			0.0219842
$77$	−1.10840	−	0.360141i	−0.126314	−	0.0410419i
$78$	1.26541	−	1.74169i	0.143280	−	0.197207i
$79$	−10.0871	−	7.32873i	−1.13489	−	0.824547i	−0.148492	−	0.988914i	$-0.547442\pi$
$79$	−10.0871	−	7.32873i	−1.13489	−	0.824547i	−0.986399	+	0.164367i	$0.947442\pi$
$80$	−0.753952	−	8.16161i	−0.0842944	−	0.912495i
$81$	9.05929	−	6.58196i	1.00659	−	0.731329i
$82$		−	1.26528i		−	0.139727i
$83$	−2.50714	−	3.45079i	−0.275195	−	0.378773i	0.648940	−	0.760840i	$-0.275213\pi$
$83$	−2.50714	−	3.45079i	−0.275195	−	0.378773i	−0.924135	+	0.382066i	$0.875213\pi$
$84$	1.24142	+	3.82071i	0.135450	+	0.416874i
$85$	0.833859	+	1.93826i	0.0904447	+	0.210234i
$86$	−0.612301	+	1.88447i	−0.0660261	+	0.203208i
$87$	−8.24156	+	2.67784i	−0.883588	+	0.287095i
$88$	−1.03695	+	0.336926i	−0.110539	+	0.0359164i
$89$	0.0411818	−	0.126744i	0.00436526	−	0.0134349i	−0.948850	−	0.315727i	$-0.897752\pi$
$89$	0.0411818	−	0.126744i	0.00436526	−	0.0134349i	0.953215	+	0.302292i	$0.0977517\pi$
$90$	−0.148560	+	0.658027i	−0.0156596	+	0.0693621i
$91$	−1.35687	−	4.17602i	−0.142239	−	0.437766i
$92$	−4.37511	−	6.02183i	−0.456137	−	0.627819i
$93$		−	15.3665i		−	1.59343i
$94$	−0.671222	+	0.487672i	−0.0692313	+	0.0502995i
$95$	0.202532	−	0.0871312i	0.0207793	−	0.00893947i
$96$	4.58256	+	3.32943i	0.467706	+	0.339808i
$97$	10.1145	−	13.9214i	1.02697	−	1.41350i	0.119773	−	0.992801i	$-0.461783\pi$
$97$	10.1145	−	13.9214i	1.02697	−	1.41350i	0.907198	−	0.420703i	$-0.138217\pi$
$98$	−0.225611	−	0.0733055i	−0.0227902	−	0.00740497i
$99$	−1.48214			−0.148961
$100$	−4.64564	−	8.53638i	−0.464564	−	0.853638i
$101$	11.0540			1.09992			0.549959	−	0.835192i	$-0.314643\pi$
$101$	11.0540			1.09992			0.549959	+	0.835192i	$0.314643\pi$
$102$	−0.440011	−	0.142968i	−0.0435676	−	0.0141560i
$103$	−3.82931	+	5.27059i	−0.377313	+	0.519327i	−0.954870	−	0.297023i	$-0.904006\pi$
$103$	−3.82931	+	5.27059i	−0.377313	+	0.519327i	0.577557	+	0.816350i	$0.304006\pi$
$104$	−3.32334	−	2.41455i	−0.325880	−	0.236766i
$105$	3.04889	+	3.47318i	0.297541	+	0.338948i
$106$	−1.87953	+	1.36556i	−0.182556	+	0.132635i
$107$			16.3744i			1.58298i	0.611184	+	0.791489i	$0.290694\pi$
$107$			16.3744i			1.58298i	−0.611184	+	0.791489i	$0.709306\pi$
$108$	−4.08098	−	5.61699i	−0.392692	−	0.540495i
$109$	2.16209	+	6.65422i	0.207091	+	0.637359i	0.999621	+	0.0275268i	$0.00876317\pi$
$109$	2.16209	+	6.65422i	0.207091	+	0.637359i	−0.792531	+	0.609832i	$0.791237\pi$
$110$	−0.464590	+	0.407835i	−0.0442969	+	0.0388855i
$111$	−3.03514	+	9.34121i	−0.288083	+	0.886628i
$112$	3.48612	−	1.13271i	0.329407	−	0.107031i
$113$	−3.39727	+	1.10384i	−0.319588	+	0.103841i	−0.464418	−	0.885616i	$-0.653737\pi$
$113$	−3.39727	+	1.10384i	−0.319588	+	0.103841i	0.144830	+	0.989457i	$0.453737\pi$
$114$	−0.0149390	+	0.0459774i	−0.00139916	+	0.00430618i
$115$	−7.36114	−	4.37457i	−0.686430	−	0.407930i
$116$	2.51836	+	7.75071i	0.233824	+	0.719636i
$117$	−3.28227	−	4.51766i	−0.303446	−	0.417658i
$118$			3.62633i			0.333831i
$119$	−0.763410	+	0.554650i	−0.0699817	+	0.0508447i
$120$	4.21748	+	0.952162i	0.385002	+	0.0869201i
$121$	7.80033	+	5.66728i	0.709121	+	0.515207i
$122$	0.931106	−	1.28156i	0.0842984	−	0.116027i
$123$	−10.4844	−	3.40658i	−0.945344	−	0.307161i
$124$	−14.4513			−1.29776
$125$	−8.79021	−	6.90885i	−0.786220	−	0.617947i
$126$	−0.301685			−0.0268762
$127$	16.6948	+	5.42448i	1.48143	+	0.481345i	0.934539	−	0.355862i	$-0.115813\pi$
$127$	16.6948	+	5.42448i	1.48143	+	0.481345i	0.546887	+	0.837206i	$0.315813\pi$
$128$	4.15334	−	5.71658i	0.367107	−	0.505279i
$129$	13.9665	+	10.1473i	1.22969	+	0.893419i
$130$	−2.27196	−	0.512929i	−0.199264	−	0.0449869i
$131$	−6.51860	+	4.73604i	−0.569533	+	0.413790i	−0.834935	−	0.550348i	$-0.814495\pi$
$131$	−6.51860	+	4.73604i	−0.569533	+	0.413790i	0.265403	+	0.964138i	$0.414495\pi$
$132$			4.68197i			0.407513i
$133$	0.0579563	+	0.0797700i	0.00502545	+	0.00691693i
$134$	0.0478389	+	0.147233i	0.00413265	+	0.0127190i
$135$	−6.86626	−	4.08047i	−0.590953	−	0.351191i
$136$	−0.272800	+	0.839591i	−0.0233924	+	0.0719943i
$137$	−2.74489	+	0.891869i	−0.234512	+	0.0761975i	−0.423915	−	0.905702i	$-0.639345\pi$
$137$	−2.74489	+	0.891869i	−0.234512	+	0.0761975i	0.189404	+	0.981899i	$0.439345\pi$
$138$	1.78566	−	0.580196i	0.152005	−	0.0493896i
$139$	1.61165	−	4.96015i	0.136698	−	0.420714i	−0.859152	−	0.511720i	$-0.829008\pi$
$139$	1.61165	−	4.96015i	0.136698	−	0.420714i	0.995850	+	0.0910064i	$0.0290084\pi$
$140$	3.26633	−	2.86731i	0.276055	−	0.242332i
$141$	2.23378	+	6.87485i	0.188118	+	0.578967i
$142$	−2.22509	−	3.06257i	−0.186725	−	0.257005i
$143$		−	5.11737i		−	0.427936i
$144$	3.77132	−	2.74002i	0.314276	−	0.228335i
$145$	6.18500	+	7.04572i	0.513636	+	0.585115i
$146$	2.22253	+	1.61477i	0.183938	+	0.133639i
$147$	−1.21485	+	1.67209i	−0.100199	+	0.137912i
$148$	8.78487	+	2.85438i	0.722112	+	0.234628i
$149$	1.17579			0.0963244			0.0481622	−	0.998840i	$-0.484664\pi$
$149$	1.17579			0.0963244			0.0481622	+	0.998840i	$0.484664\pi$
$150$	2.40999	−	0.449091i	0.196774	−	0.0366681i
$151$	−12.8111			−1.04256			−0.521278	−	0.853387i	$-0.674544\pi$
$151$	−12.8111			−1.04256			−0.521278	+	0.853387i	$0.674544\pi$
$152$	0.0877302	+	0.0285053i	0.00711586	+	0.00231208i
$153$	−0.705373	+	0.970862i	−0.0570260	+	0.0784896i
$154$	−0.223667	−	0.162504i	−0.0180236	−	0.0130949i
$155$	−15.2715	+	6.56997i	−1.22664	+	0.527713i
$156$	−14.2709	+	10.3684i	−1.14259	+	0.830138i
$157$		−	3.89544i		−	0.310890i	−0.987845	−	0.155445i	$-0.950319\pi$
$157$		−	3.89544i		−	0.310890i	0.987845	−	0.155445i	$-0.0496811\pi$
$158$	−1.73853	−	2.39289i	−0.138310	−	0.190368i
$159$	6.25493	+	19.2507i	0.496048	+	1.52668i
$160$	1.34957	−	5.97775i	0.106693	−	0.472583i
$161$	1.18336	−	3.64202i	0.0932621	−	0.287031i
$162$	2.52637	−	0.820868i	0.198490	−	0.0644934i
$163$	13.3155	−	4.32647i	1.04295	−	0.338875i	0.263052	−	0.964782i	$-0.415271\pi$
$163$	13.3155	−	4.32647i	1.04295	−	0.338875i	0.779898	+	0.625907i	$0.215271\pi$
$164$	−3.20369	+	9.85995i	−0.250166	+	0.769933i
$165$	2.12856	+	4.94771i	0.165708	+	0.385179i
$166$	−0.312678	−	0.962324i	−0.0242685	−	0.0746908i
$167$	11.7592	+	16.1851i	0.909951	+	1.25244i	0.967183	+	0.254080i	$0.0817725\pi$
$167$	11.7592	+	16.1851i	0.909951	+	1.25244i	−0.0572320	+	0.998361i	$0.518227\pi$
$168$			1.93359i			0.149179i
$169$	5.08081	−	3.69143i	0.390832	−	0.283956i
$170$	0.0460429	+	0.498419i	0.00353133	+	0.0382270i
$171$	0.101447	+	0.0737055i	0.00775784	+	0.00563640i
$172$	9.54294	−	13.1347i	0.727642	−	1.00151i
$173$	−22.3076	−	7.24819i	−1.69602	−	0.551069i	−0.708108	−	0.706104i	$-0.750451\pi$
$173$	−22.3076	−	7.24819i	−1.69602	−	0.551069i	−0.987909	+	0.155034i	$0.950451\pi$
$174$	−2.05569			−0.155841
$175$	2.14816	−	4.51502i	0.162386	−	0.341303i
$176$	4.27195			0.322011
$177$	30.0484	+	9.76333i	2.25858	+	0.733857i
$178$	0.0185821	−	0.0255761i	0.00139279	−	0.00191701i
$179$	−1.15383	−	0.838310i	−0.0862417	−	0.0626582i	0.543829	−	0.839196i	$-0.316974\pi$
$179$	−1.15383	−	0.838310i	−0.0862417	−	0.0626582i	−0.630071	+	0.776538i	$0.716974\pi$
$180$	2.82380	−	4.75164i	0.210474	−	0.354167i
$181$	−12.4806	+	9.06766i	−0.927673	+	0.673994i	−0.945422	−	0.325849i	$-0.894350\pi$
$181$	−12.4806	+	9.06766i	−0.927673	+	0.673994i	0.0177490	+	0.999842i	$0.494350\pi$
$182$		−	1.04162i		−	0.0772102i
$183$	−8.11237	−	11.1657i	−0.599684	−	0.825394i
$184$	−1.10708	−	3.40724i	−0.0816150	−	0.251185i
$185$	10.5812	−	0.977466i	0.777943	−	0.0718647i
$186$	1.12645	−	3.46685i	0.0825951	−	0.254201i
$187$	−1.04592	+	0.339839i	−0.0764851	+	0.0248515i
$188$	6.46541	−	2.10074i	0.471538	−	0.153212i
$189$	1.10381	−	3.39717i	0.0802901	−	0.247108i
$190$	0.0520806	−	0.00481109i	0.00377832	−	0.000349033i
$191$	3.79445	+	11.6781i	0.274557	+	0.844998i	0.989336	+	0.145649i	$0.0465269\pi$
$191$	3.79445	+	11.6781i	0.274557	+	0.844998i	−0.714780	+	0.699350i	$0.753473\pi$
$192$	−8.11628	−	11.1711i	−0.585742	−	0.806205i
$193$			10.3698i			0.746437i	0.927744	+	0.373218i	$0.121746\pi$
$193$			10.3698i			0.746437i	−0.927744	+	0.373218i	$0.878254\pi$
$194$	3.30246	−	2.39938i	0.237103	−	0.172265i
$195$	−10.3671	+	17.4449i	−0.742405	+	1.24925i
$196$	1.57251	+	1.14249i	0.112322	+	0.0816067i
$197$	4.89151	−	6.73259i	0.348506	−	0.479677i	−0.598396	−	0.801201i	$-0.704195\pi$
$197$	4.89151	−	6.73259i	0.348506	−	0.479677i	0.946902	+	0.321524i	$0.104195\pi$
$198$	−0.334388	−	0.108649i	−0.0237639	−	0.00772137i
$199$	−19.1864			−1.36009			−0.680043	−	0.733172i	$-0.738039\pi$
$199$	−19.1864			−1.36009			−0.680043	+	0.733172i	$0.738039\pi$
$200$	−0.856916	−	4.59852i	−0.0605931	−	0.325165i
$201$	1.34880			0.0951370
$202$	2.49391	+	0.810322i	0.175471	+	0.0570140i
$203$	−2.46444	+	3.39202i	−0.172970	+	0.238073i
$204$	3.06687	+	2.22821i	0.214724	+	0.156006i
$205$	1.09709	+	11.8761i	0.0766239	+	0.829461i
$206$	−1.25030	+	0.908395i	−0.0871124	+	0.0632909i
$207$		−	4.87007i		−	0.338493i
$208$	9.46043	+	13.0212i	0.655962	+	0.902855i
$209$	0.0355103	+	0.109290i	0.00245630	+	0.00755972i
$210$	0.433260	+	1.00709i	0.0298978	+	0.0694957i
$211$	−5.76303	+	17.7368i	−0.396743	+	1.22105i	0.530852	+	0.847464i	$0.321872\pi$
$211$	−5.76303	+	17.7368i	−0.396743	+	1.22105i	−0.927596	+	0.373586i	$0.878128\pi$
$212$	18.1042	−	5.88241i	1.24340	−	0.404005i
$213$	−31.3677	+	10.1920i	−2.14928	+	0.698343i
$214$	−1.20034	+	3.69426i	−0.0820533	+	0.252534i
$215$	4.11316	−	18.2187i	0.280515	−	1.24251i
$216$	−1.03265	−	3.17818i	−0.0702631	−	0.216248i
$217$	−4.37009	−	6.01491i	−0.296661	−	0.408319i
$218$			1.65976i			0.112413i
$219$	19.3641	−	14.0688i	1.30850	−	0.950683i
$220$	4.65304	−	2.00179i	0.313708	−	0.134960i
$221$	−3.35208	−	2.43543i	−0.225485	−	0.163825i
$222$	−1.36952	+	1.88499i	−0.0919164	+	0.126512i
$223$	−22.0942	−	7.17886i	−1.47954	−	0.480732i	−0.545565	−	0.838069i	$-0.683685\pi$
$223$	−22.0942	−	7.17886i	−1.47954	−	0.480732i	−0.933975	+	0.357337i	$0.883685\pi$
$224$	2.74061			0.183115
$225$	0.823843	−	6.30512i	0.0549229	−	0.420342i
$226$	−0.847379			−0.0563668
$227$	−2.55296	−	0.829506i	−0.169446	−	0.0550563i	0.223066	−	0.974803i	$-0.428394\pi$
$227$	−2.55296	−	0.829506i	−0.169446	−	0.0550563i	−0.392511	+	0.919747i	$0.628394\pi$
$228$	0.232829	−	0.320462i	0.0154195	−	0.0212231i
$229$	17.5081	+	12.7204i	1.15697	+	0.840587i	0.989392	−	0.145271i	$-0.0464055\pi$
$229$	17.5081	+	12.7204i	1.15697	+	0.840587i	0.167578	+	0.985859i	$0.446406\pi$
$230$	−1.34007	−	1.52656i	−0.0883619	−	0.100659i
$231$	−1.94873	+	1.41583i	−0.128217	+	0.0931550i
$232$			3.92248i			0.257524i
$233$	10.6214	+	14.6191i	0.695833	+	0.957732i	0.999987	+	0.00510883i	$0.00162620\pi$
$233$	10.6214	+	14.6191i	0.695833	+	0.957732i	−0.304154	+	0.952623i	$0.598374\pi$
$234$	−0.409348	−	1.25984i	−0.0267599	−	0.0823585i
$235$	5.87732	−	5.15933i	0.383394	−	0.336558i
$236$	9.18185	−	28.2588i	0.597688	−	1.83949i
$237$	−24.5086	+	7.96334i	−1.59201	+	0.517274i
$238$	−0.212893	+	0.0691731i	−0.0137998	+	0.00448382i
$239$	2.06956	−	6.36945i	0.133869	−	0.412005i	−0.861544	−	0.507683i	$-0.830502\pi$
$239$	2.06956	−	6.36945i	0.133869	−	0.412005i	0.995412	+	0.0956781i	$0.0305020\pi$
$240$	−14.5629	−	8.65442i	−0.940031	−	0.558640i
$241$	−2.94788	−	9.07263i	−0.189889	−	0.584419i	0.810109	−	0.586279i	$-0.199408\pi$
$241$	−2.94788	−	9.07263i	−0.189889	−	0.584419i	−0.999998	+	0.00186007i	$0.999408\pi$
$242$	1.34440	+	1.85041i	0.0864213	+	0.118949i
$243$		−	12.4281i		−	0.797260i
$244$	−10.5007	+	7.62922i	−0.672240	+	0.488411i
$245$	2.18117	+	0.492433i	0.139350	+	0.0314604i
$246$	−2.11567	−	1.53712i	−0.134890	−	0.0980034i
$247$	−0.254482	+	0.350264i	−0.0161923	+	0.0222868i
$248$	−6.61513	−	2.14939i	−0.420061	−	0.136486i
$249$	−8.81583			−0.558681
$250$	−1.47671	−	2.20309i	−0.0933954	−	0.139335i
$251$	−17.3660			−1.09613			−0.548065	−	0.836436i	$-0.684635\pi$
$251$	−17.3660			−1.09613			−0.548065	+	0.836436i	$0.684635\pi$
$252$	2.35094	+	0.763866i	0.148095	+	0.0481190i
$253$	2.62328	−	3.61064i	0.164924	−	0.226999i
$254$	3.36889	+	2.44765i	0.211383	+	0.153579i
$255$	4.25395	+	0.960396i	0.266393	+	0.0601423i
$256$	−9.45385	+	6.86862i	−0.590865	+	0.429289i
$257$		−	11.2276i		−	0.700359i	−0.936683	−	0.350179i	$-0.886121\pi$
$257$		−	11.2276i		−	0.700359i	0.936683	−	0.350179i	$-0.113879\pi$
$258$	2.40715	+	3.31316i	0.149863	+	0.206269i
$259$	1.46851	+	4.51960i	0.0912487	+	0.280835i
$260$	16.4059	+	9.74969i	1.01745	+	0.604650i
$261$	−1.64772	+	5.07115i	−0.101991	+	0.313896i
$262$	−1.81785	+	0.590654i	−0.112307	+	0.0364907i
$263$	3.67935	−	1.19549i	0.226878	−	0.0737172i	−0.193372	−	0.981126i	$-0.561942\pi$
$263$	3.67935	−	1.19549i	0.226878	−	0.0737172i	0.420250	+	0.907408i	$0.361942\pi$
$264$	−0.696365	+	2.14319i	−0.0428583	+	0.131904i
$265$	16.4574	−	14.4470i	1.01097	−	0.887470i
$266$	0.00722800	+	0.0222455i	0.000443177	+	0.00136396i
$267$	−0.161899	−	0.222835i	−0.00990805	−	0.0136373i
$268$		−	1.26847i		−	0.0774841i
$269$	16.1925	−	11.7645i	0.987273	−	0.717296i	0.0279510	−	0.999609i	$-0.491102\pi$
$269$	16.1925	−	11.7645i	0.987273	−	0.717296i	0.959322	+	0.282313i	$0.0911018\pi$
$270$	−1.24998	−	1.42393i	−0.0760715	−	0.0866579i
$271$	1.50323	+	1.09216i	0.0913144	+	0.0663438i	0.632506	−	0.774556i	$-0.282026\pi$
$271$	1.50323	+	1.09216i	0.0913144	+	0.0663438i	−0.541191	+	0.840900i	$0.682026\pi$
$272$	2.03308	−	2.79830i	0.123274	−	0.169672i
$273$	−8.63108	−	2.80441i	−0.522377	−	0.169730i
$274$	−0.684656			−0.0413616
$275$	4.00707	−	4.23081i	0.241636	−	0.255128i
$276$	−15.3841			−0.926016
$277$	−21.4648	−	6.97432i	−1.28969	−	0.419047i	−0.417709	−	0.908581i	$-0.637167\pi$
$277$	−21.4648	−	6.97432i	−1.28969	−	0.419047i	−0.871984	+	0.489535i	$0.837167\pi$
$278$	0.727212	−	1.00092i	0.0436153	−	0.0600313i
$279$	−7.64942	−	5.55763i	−0.457959	−	0.332727i
$280$	1.92164	−	0.826709i	0.114840	−	0.0494053i
$281$	25.8442	−	18.7769i	1.54174	−	1.12014i	0.592503	−	0.805568i	$-0.298140\pi$
$281$	25.8442	−	18.7769i	1.54174	−	1.12014i	0.949234	−	0.314569i	$-0.101860\pi$
$282$			1.71479i			0.102114i
$283$	9.08628	+	12.5062i	0.540124	+	0.743416i	0.988631	−	0.150363i	$-0.0480442\pi$
$283$	9.08628	+	12.5062i	0.540124	+	0.743416i	−0.448507	+	0.893779i	$0.648044\pi$
$284$	9.58498	+	29.4995i	0.568764	+	1.75048i
$285$	0.100353	−	0.444502i	0.00594441	−	0.0263301i
$286$	0.375131	−	1.15454i	0.0221820	−	0.0682691i
$287$	−5.07271	+	1.64822i	−0.299432	+	0.0972915i
$288$	3.31477	−	1.07704i	0.195325	−	0.0634649i
$289$	4.97813	−	15.3211i	0.292831	−	0.901242i
$290$	0.878914	+	2.04299i	0.0516116	+	0.119968i
$291$	−10.9903	−	33.8247i	−0.644264	−	1.98284i
$292$	−13.2309	−	18.2108i	−0.774281	−	1.06571i
$293$		−	21.2271i		−	1.24010i	−0.784562	−	0.620050i	$-0.787112\pi$
$293$		−	21.2271i		−	1.24010i	0.784562	−	0.620050i	$-0.212888\pi$
$294$	−0.396656	+	0.288188i	−0.0231335	+	0.0168074i
$295$	−3.14428	−	34.0371i	−0.183067	−	1.98172i
$296$	3.59677	+	2.61321i	0.209058	+	0.151890i
$297$	2.44692	−	3.36790i	0.141985	−	0.195425i
$298$	0.265271	+	0.0861918i	0.0153667	+	0.00499296i
$299$	16.8148			0.972425
$300$	−19.9174	−	2.60245i	−1.14993	−	0.150253i
$301$	8.35273			0.481443
$302$	−2.89033	−	0.939126i	−0.166320	−	0.0540407i
$303$	13.4290	−	18.4834i	0.771473	−	1.06184i
$304$	−0.292399	−	0.212440i	−0.0167702	−	0.0121843i
$305$	−7.62827	+	12.8362i	−0.436793	+	0.734997i
$306$	−0.230309	+	0.167330i	−0.0131659	+	0.00956560i
$307$			19.7459i			1.12696i	0.826130	+	0.563480i	$0.190538\pi$
$307$			19.7459i			1.12696i	−0.826130	+	0.563480i	$0.809462\pi$
$308$	1.33151	+	1.83267i	0.0758698	+	0.104426i
$309$	4.16089	+	12.8059i	0.236705	+	0.728503i
$310$	−3.92704	+	0.362772i	−0.223041	+	0.0206040i
$311$	2.19759	−	6.76350i	0.124614	−	0.383523i	−0.869216	−	0.494432i	$-0.835376\pi$
$311$	2.19759	−	6.76350i	0.124614	−	0.383523i	0.993831	+	0.110909i	$0.0353762\pi$
$312$	−8.07469	+	2.62363i	−0.457139	+	0.148534i
$313$	−10.7150	+	3.48153i	−0.605650	+	0.196788i	−0.595759	−	0.803163i	$-0.703149\pi$
$313$	−10.7150	+	3.48153i	−0.605650	+	0.196788i	−0.00989147	+	0.999951i	$0.503149\pi$
$314$	0.285557	−	0.878855i	0.0161149	−	0.0495966i
$315$	2.83165	−	0.261582i	0.159545	−	0.0147385i
$316$	7.48907	+	23.0490i	0.421293	+	1.29661i
$317$	2.93830	+	4.04422i	0.165031	+	0.227146i	0.883521	−	0.468392i	$-0.155166\pi$
$317$	2.93830	+	4.04422i	0.165031	+	0.227146i	−0.718490	+	0.695537i	$0.755166\pi$
$318$			4.80169i			0.269266i
$319$	−3.95320	+	2.87217i	−0.221337	+	0.160811i
$320$	−7.63194	+	12.8424i	−0.426639	+	0.717910i
$321$	27.3796	+	19.8924i	1.52818	+	1.11029i
$322$	0.533960	−	0.734933i	0.0297564	−	0.0409562i
$323$	0.0884888	+	0.0287518i	0.00492365	+	0.00159979i
$324$	−21.7656			−1.20920
$325$	21.7696	+	2.84447i	1.20756	+	0.157783i
$326$	3.32128			0.183948
$327$	13.7531	+	4.46865i	0.760547	+	0.247117i
$328$	−2.93301	+	4.03694i	−0.161948	+	0.222903i
$329$	2.82952	+	2.05576i	0.155996	+	0.113338i
$330$	0.117532	+	1.27229i	0.00646991	+	0.0700375i
$331$	−22.8854	+	16.6272i	−1.25790	+	0.913916i	−0.998652	−	0.0518960i	$-0.983474\pi$
$331$	−22.8854	+	16.6272i	−1.25790	+	0.913916i	−0.259245	+	0.965812i	$0.583474\pi$
$332$			8.29078i			0.455016i
$333$	3.55232	+	4.88935i	0.194666	+	0.267935i
$334$	1.46654	+	4.51355i	0.0802456	+	0.246970i
$335$	−0.576683	−	1.34047i	−0.0315075	−	0.0732375i
$336$	2.34110	−	7.20518i	0.127718	−	0.393075i
$337$	−2.76150	+	0.897265i	−0.150428	+	0.0488771i	−0.383263	−	0.923639i	$-0.625200\pi$
$337$	−2.76150	+	0.897265i	−0.150428	+	0.0488771i	0.232835	+	0.972516i	$0.425200\pi$
$338$	1.41689	−	0.460376i	0.0770687	−	0.0250411i
$339$	−2.28144	+	7.02154i	−0.123911	+	0.381358i
$340$	0.903197	−	4.00060i	0.0489828	−	0.216963i
$341$	−2.67759	−	8.24078i	−0.145000	−	0.446263i
$342$	0.0174845	+	0.0240654i	0.000945455	+	0.00130131i
$343$			1.00000i			0.0539949i
$344$	6.32189	−	4.59312i	0.340854	−	0.247645i
$345$	−16.2573	+	6.99407i	−0.875265	+	0.376548i
$346$	−4.50152	−	3.27054i	−0.242003	−	0.175826i
$347$	−1.46614	+	2.01797i	−0.0787065	+	0.108330i	−0.846555	−	0.532301i	$-0.821327\pi$
$347$	−1.46614	+	2.01797i	−0.0787065	+	0.108330i	0.767848	+	0.640632i	$0.221327\pi$
$348$	16.0193	+	5.20500i	0.858726	+	0.279017i
$349$	−22.1947			−1.18805			−0.594027	−	0.804445i	$-0.702463\pi$
$349$	−22.1947			−1.18805			−0.594027	+	0.804445i	$0.702463\pi$
$350$	0.815625	−	0.861167i	0.0435970	−	0.0460313i
$351$	15.6844			0.837169
$352$	3.03770	+	0.987009i	0.161910	+	0.0526078i
$353$	−7.16407	+	9.86049i	−0.381305	+	0.524821i	−0.955930	−	0.293596i	$-0.905148\pi$
$353$	−7.16407	+	9.86049i	−0.381305	+	0.524821i	0.574625	+	0.818417i	$0.305148\pi$
$354$	6.06355	+	4.40543i	0.322274	+	0.234146i
$355$	23.5403	+	26.8163i	1.24939	+	1.42326i
$356$	−0.209563	+	0.152257i	−0.0111068	+	0.00806959i
$357$			1.95031i			0.103221i
$358$	−0.198865	−	0.273714i	−0.0105104	−	0.0144663i
$359$	−6.40339	−	19.7076i	−0.337958	−	1.04013i	−0.965247	−	0.261341i	$-0.915835\pi$
$359$	−6.40339	−	19.7076i	−0.337958	−	1.04013i	0.627289	−	0.778787i	$-0.284165\pi$
$360$	1.99933	−	1.75509i	0.105374	−	0.0925014i
$361$	−5.86832	+	18.0608i	−0.308859	+	0.950570i
$362$	−3.48046	+	1.13087i	−0.182929	+	0.0594373i
$363$	18.9524	−	6.15801i	0.994744	−	0.323212i
$364$	−2.63738	+	8.11704i	−0.138237	+	0.425448i
$365$	−22.2611	−	13.2293i	−1.16520	−	0.692452i
$366$	−1.01173	−	3.11379i	−0.0528841	−	0.162761i
$367$	6.69570	+	9.21585i	0.349513	+	0.481063i	0.947190	−	0.320674i	$-0.103909\pi$
$367$	6.69570	+	9.21585i	0.349513	+	0.481063i	−0.597677	+	0.801737i	$0.703909\pi$
$368$			14.0369i			0.731724i
$369$	−5.48770	+	3.98705i	−0.285678	+	0.207557i
$370$	2.45888	+	0.555131i	0.127831	+	0.0288599i
$371$	7.92310	+	5.75647i	0.411347	+	0.298861i
$372$	−17.5561	+	24.1639i	−0.910241	+	1.25284i
$373$	12.4312	+	4.03913i	0.643662	+	0.209138i	0.612618	−	0.790380i	$-0.290117\pi$
$373$	12.4312	+	4.03913i	0.643662	+	0.209138i	0.0310445	+	0.999518i	$0.490117\pi$
$374$	−0.260883			−0.0134899
$375$	−22.2310	+	6.30484i	−1.14800	+	0.325581i
$376$	3.27202			0.168741
$377$	−17.5091	−	5.68904i	−0.901762	−	0.293000i
$378$	0.498062	−	0.685524i	0.0256176	−	0.0352595i
$379$	−13.7532	−	9.99232i	−0.706457	−	0.513271i	0.175572	−	0.984467i	$-0.443823\pi$
$379$	−13.7532	−	9.99232i	−0.706457	−	0.513271i	−0.882029	+	0.471196i	$0.843823\pi$
$380$	−0.418029	−	0.0943765i	−0.0214444	−	0.00484141i
$381$	29.3519	−	21.3254i	1.50374	−	1.09253i
$382$			2.91286i			0.149035i
$383$	8.90027	+	12.2502i	0.454783	+	0.625955i	0.973417	−	0.229042i	$-0.0735592\pi$
$383$	8.90027	+	12.2502i	0.454783	+	0.625955i	−0.518634	+	0.854996i	$0.673559\pi$
$384$	−4.51298	−	13.8895i	−0.230302	−	0.708798i
$385$	2.24027	+	1.33134i	0.114175	+	0.0678516i
$386$	−0.760166	+	2.33955i	−0.0386914	+	0.119080i
$387$	10.1026	−	3.28254i	0.513546	−	0.166861i
$388$	−31.8102	+	10.3358i	−1.61492	+	0.524719i
$389$	−6.21205	+	19.1187i	−0.314964	+	0.969358i	0.660806	+	0.750557i	$0.270215\pi$
$389$	−6.21205	+	19.1187i	−0.314964	+	0.969358i	−0.975769	+	0.218801i	$0.929785\pi$
$390$	−3.61774	+	3.17579i	−0.183192	+	0.160812i
$391$	−1.11665	−	3.43671i	−0.0564716	−	0.173802i
$392$	0.549895	+	0.756865i	0.0277739	+	0.0382275i
$393$			16.6533i			0.840046i
$394$	1.59711	−	1.16037i	0.0804615	−	0.0584587i
$395$	18.3929	+	20.9525i	0.925445	+	1.05423i
$396$	2.33068	+	1.69334i	0.117121	+	0.0850935i
$397$	9.14246	−	12.5835i	0.458847	−	0.631549i	−0.515422	−	0.856936i	$-0.672365\pi$
$397$	9.14246	−	12.5835i	0.458847	−	0.631549i	0.974269	+	0.225388i	$0.0723649\pi$
$398$	−4.32866	−	1.40647i	−0.216976	−	0.0704998i
$399$	0.203791			0.0102023
$400$	−2.37455	+	18.1731i	−0.118727	+	0.908657i
$401$	1.80111			0.0899429			0.0449715	−	0.998988i	$-0.485680\pi$
$401$	1.80111			0.0899429			0.0449715	+	0.998988i	$0.485680\pi$
$402$	0.304304	+	0.0988744i	0.0151773	+	0.00493141i
$403$	19.1887	−	26.4110i	0.955859	−	1.31563i
$404$	−17.3826	−	12.6292i	−0.864814	−	0.628324i
$405$	−23.0010	+	9.89529i	−1.14293	+	0.491701i
$406$	−0.804660	+	0.584619i	−0.0399346	+	0.0290142i
$407$			5.53841i			0.274529i
$408$	1.07246	+	1.47612i	0.0530949	+	0.0730788i
$409$	−8.85827	−	27.2630i	−0.438013	−	1.34807i	−0.889967	−	0.456025i	$-0.849273\pi$
$409$	−8.85827	−	27.2630i	−0.438013	−	1.34807i	0.451954	−	0.892041i	$-0.350727\pi$
$410$	−0.623067	+	2.75980i	−0.0307711	+	0.136297i
$411$	−1.84333	+	5.67319i	−0.0909248	+	0.279838i
$412$	12.0432	−	3.91308i	0.593327	−	0.192784i
$413$	14.5385	−	4.72384i	0.715392	−	0.232445i
$414$	0.357003	−	1.09874i	0.0175457	−	0.0540002i
$415$	3.76923	+	8.76136i	0.185024	+	0.430078i
$416$	3.71866	+	11.4449i	0.182322	+	0.561130i
$417$	−6.33592	−	8.72064i	−0.310271	−	0.427052i
$418$			0.0272601i			0.00133333i
$419$	10.6510	−	7.73840i	0.520335	−	0.378046i	−0.296395	−	0.955065i	$-0.595784\pi$
$419$	10.6510	−	7.73840i	0.520335	−	0.378046i	0.816730	+	0.577020i	$0.195784\pi$
$420$	−0.826314	−	8.94494i	−0.0403200	−	0.436468i
$421$	−25.5703	−	18.5779i	−1.24622	−	0.905431i	−0.248223	−	0.968703i	$-0.579847\pi$
$421$	−25.5703	−	18.5779i	−1.24622	−	0.905431i	−0.997996	+	0.0632717i	$0.979847\pi$
$422$	−2.60041	+	3.57915i	−0.126586	+	0.174230i
$423$	4.23020	+	1.37447i	0.205679	+	0.0668292i
$424$	9.16217			0.444955
$425$	−0.864327	−	4.63829i	−0.0419260	−	0.224990i
$426$	−7.82403			−0.379076
$427$	−6.35086	−	2.06352i	−0.307340	−	0.0998608i
$428$	18.7077	−	25.7489i	0.904270	−	1.24462i
$429$	−8.55672	−	6.21682i	−0.413122	−	0.300151i
$430$	2.26351	−	3.80883i	0.109156	−	0.183678i
$431$	31.0524	−	22.5609i	1.49574	−	1.08672i	0.523704	−	0.851900i	$-0.324550\pi$
$431$	31.0524	−	22.5609i	1.49574	−	1.08672i	0.972039	−	0.234820i	$-0.0754502\pi$
$432$			13.0932i			0.629948i
$433$	6.10475	+	8.40247i	0.293376	+	0.403797i	0.930107	−	0.367289i	$-0.119714\pi$
$433$	6.10475	+	8.40247i	0.293376	+	0.403797i	−0.636731	+	0.771086i	$0.719714\pi$
$434$	−0.545014	−	1.67738i	−0.0261615	−	0.0805169i
$435$	19.2949	−	1.78242i	0.925120	−	0.0854606i
$436$	4.20251	−	12.9340i	0.201264	−	0.619426i
$437$	−0.359107	+	0.116681i	−0.0171784	+	0.00558160i
$438$	5.40007	−	1.75459i	0.258025	−	0.0838376i
$439$	−3.41579	+	10.5127i	−0.163027	+	0.501745i	−0.998885	−	0.0471998i	$-0.984970\pi$
$439$	−3.41579	+	10.5127i	−0.163027	+	0.501745i	0.835859	+	0.548945i	$0.184970\pi$
$440$	2.42768	−	0.224264i	0.115735	−	0.0106914i
$441$	0.392990	+	1.20950i	0.0187138	+	0.0575952i
$442$	−0.577736	−	0.795185i	−0.0274801	−	0.0378231i
$443$		−	14.4890i		−	0.688392i	−0.938898	−	0.344196i	$-0.888152\pi$
$443$		−	14.4890i		−	0.688392i	0.938898	−	0.344196i	$-0.111848\pi$
$444$	15.4450	−	11.2215i	0.732990	−	0.532548i
$445$	−0.152238	+	0.256172i	−0.00721676	+	0.0121437i
$446$	−4.45846	−	3.23926i	−0.211114	−	0.153383i
$447$	1.42840	−	1.96603i	0.0675611	−	0.0929899i
$448$	−6.35392	−	2.06452i	−0.300195	−	0.0975392i
$449$	−4.43917			−0.209497			−0.104749	−	0.994499i	$-0.533404\pi$
$449$	−4.43917			−0.209497			−0.104749	+	0.994499i	$0.533404\pi$
$450$	0.648068	−	1.36211i	0.0305502	−	0.0642107i
$451$	−6.21619			−0.292709
$452$	6.60336	+	2.14556i	0.310596	+	0.100919i
$453$	−15.5636	+	21.4214i	−0.731240	+	1.00646i
$454$	−0.515168	−	0.374292i	−0.0241781	−	0.0175664i
$455$	0.903158	+	9.77678i	0.0423407	+	0.458343i
$456$	0.154242	−	0.112063i	0.00722305	−	0.00524785i
$457$		−	16.6837i		−	0.780431i	−0.920724	−	0.390215i	$-0.872401\pi$
$457$		−	16.6837i		−	0.780431i	0.920724	−	0.390215i	$-0.127599\pi$
$458$	3.01755	+	4.15330i	0.141001	+	0.194071i
$459$	−1.04158	−	3.20566i	−0.0486169	−	0.149627i
$460$	6.57753	+	15.2891i	0.306679	+	0.712857i
$461$	−4.38391	+	13.4923i	−0.204179	+	0.628399i	0.795567	+	0.605866i	$0.207173\pi$
$461$	−4.38391	+	13.4923i	−0.204179	+	0.628399i	−0.999746	+	0.0225331i	$0.992827\pi$
$462$	−0.543443	+	0.176575i	−0.0252833	+	0.00821503i
$463$	17.4996	−	5.68596i	0.813275	−	0.264249i	0.127291	−	0.991865i	$-0.459372\pi$
$463$	17.4996	−	5.68596i	0.813275	−	0.264249i	0.685984	+	0.727616i	$0.259372\pi$
$464$	4.74918	−	14.6165i	0.220475	−	0.678553i
$465$	−7.56696	+	33.5169i	−0.350909	+	1.55431i
$466$	1.32465	+	4.07685i	0.0613632	+	0.188856i
$467$	−5.16200	−	7.10488i	−0.238869	−	0.328775i	0.672705	−	0.739910i	$-0.265132\pi$
$467$	−5.16200	−	7.10488i	−0.238869	−	0.328775i	−0.911574	+	0.411136i	$0.865132\pi$
$468$			10.8540i			0.501727i
$469$	0.527962	−	0.383587i	0.0243790	−	0.0177124i
$470$	1.70420	−	0.733163i	0.0786087	−	0.0338183i
$471$	−6.51353	−	4.73236i	−0.300128	−	0.218056i
$472$	8.40606	−	11.5699i	0.386920	−	0.532550i
$473$	9.25818	+	3.00817i	0.425692	+	0.138316i
$474$	−6.11318			−0.280788
$475$	−0.484662	+	0.0903149i	−0.0222378	+	0.00414393i
$476$	1.83415			0.0840682
$477$	11.8452	+	3.84875i	0.542356	+	0.176222i
$478$	0.933831	−	1.28531i	0.0427124	−	0.0587886i
$479$	2.08148	+	1.51229i	0.0951054	+	0.0690981i	0.634322	−	0.773069i	$-0.281279\pi$
$479$	2.08148	+	1.51229i	0.0951054	+	0.0690981i	−0.539216	+	0.842167i	$0.681279\pi$
$480$	−8.35583	−	9.51865i	−0.381390	−	0.434465i
$481$	−16.8814	+	12.2650i	−0.769724	+	0.559238i
$482$		−	2.26298i		−	0.103076i
$483$	−4.65218	−	6.40318i	−0.211682	−	0.291355i
$484$	−5.79126	−	17.8237i	−0.263239	−	0.810166i
$485$	−28.9168	+	25.3843i	−1.31304	+	1.15264i
$486$	0.911045	−	2.80391i	0.0413258	−	0.127188i
$487$	−6.56533	+	2.13320i	−0.297503	+	0.0966647i	−0.453966	−	0.891019i	$-0.649991\pi$
$487$	−6.56533	+	2.13320i	−0.297503	+	0.0966647i	0.156462	+	0.987684i	$0.449991\pi$
$488$	−5.94147	+	1.93050i	−0.268958	+	0.0873896i
$489$	8.94202	−	27.5207i	0.404372	−	1.24453i
$490$	0.455999	+	0.270990i	0.0205999	+	0.0122421i
$491$	5.15691	+	15.8713i	0.232728	+	0.716263i	0.997415	+	0.0718609i	$0.0228938\pi$
$491$	5.15691	+	15.8713i	0.232728	+	0.716263i	−0.764687	+	0.644402i	$0.777106\pi$
$492$	12.5948	+	17.3352i	0.567815	+	0.781531i
$493$			3.95641i			0.178188i
$494$	−0.0830902	+	0.0603685i	−0.00373840	+	0.00271611i
$495$	3.23281	+	0.729857i	0.145304	+	0.0328046i
$496$	22.0478	+	16.0187i	0.989975	+	0.719259i
$497$	−9.37978	+	12.9102i	−0.420740	+	0.579100i
$498$	−1.98895	−	0.646249i	−0.0891270	−	0.0289591i
$499$	−30.2836			−1.35568			−0.677840	−	0.735210i	$-0.737084\pi$
$499$	−30.2836			−1.35568			−0.677840	+	0.735210i	$0.737084\pi$
$500$	5.92934	+	20.9070i	0.265168	+	0.934988i
$501$	41.3485			1.84732
$502$	−3.91795	−	1.27302i	−0.174867	−	0.0568177i
$503$	2.98530	−	4.10892i	0.133108	−	0.183208i	−0.737260	−	0.675609i	$-0.763881\pi$
$503$	2.98530	−	4.10892i	0.133108	−	0.183208i	0.870368	+	0.492401i	$0.163881\pi$
$504$	0.962539	+	0.699325i	0.0428749	+	0.0311504i
$505$	−24.1108	−	5.44337i	−1.07291	−	0.242227i
$506$	0.856521	−	0.622299i	0.0380770	−	0.0276646i
$507$		−	12.9801i		−	0.576467i
$508$	−20.0553	−	27.6038i	−0.889810	−	1.22472i
$509$	−12.3445	−	37.9923i	−0.547158	−	1.68398i	−0.715802	−	0.698303i	$-0.753939\pi$
$509$	−12.3445	−	37.9923i	−0.547158	−	1.68398i	0.168644	−	0.985677i	$-0.446061\pi$
$510$	0.889337	+	0.528514i	0.0393805	+	0.0234030i
$511$	3.57865	−	11.0139i	0.158310	−	0.487228i
$512$	−16.0769	+	5.22370i	−0.710505	+	0.230857i
$513$	−0.334965	+	0.108837i	−0.0147890	+	0.00480525i
$514$	0.823045	−	2.53307i	0.0363030	−	0.111729i
$515$	10.9478	−	9.61039i	0.482417	−	0.423484i
$516$	−10.3693	−	31.9134i	−0.456482	−	1.40491i
$517$	2.39587	+	3.29764i	0.105370	+	0.145030i
$518$			1.12732i			0.0495317i
$519$	−39.2200	+	28.4950i	−1.72157	+	1.25079i
$520$	6.05977	+	6.90306i	0.265739	+	0.302719i
$521$	−32.3242	−	23.4849i	−1.41615	−	1.02889i	−0.992392	−	0.123114i	$-0.960712\pi$
$521$	−32.3242	−	23.4849i	−1.41615	−	1.02889i	−0.423755	−	0.905777i	$-0.639288\pi$
$522$	−0.743486	+	1.02332i	−0.0325415	+	0.0447895i
$523$	6.95984	+	2.26139i	0.304332	+	0.0988836i	0.457202	−	0.889363i	$-0.348852\pi$
$523$	6.95984	+	2.26139i	0.304332	+	0.0988836i	−0.152870	+	0.988246i	$0.548852\pi$
$524$	15.6614			0.684173
$525$	−4.93984	−	9.07698i	−0.215592	−	0.396152i
$526$	0.917738			0.0400153
$527$	−6.67234	−	2.16797i	−0.290652	−	0.0944384i
$528$	5.18977	−	7.14310i	0.225856	−	0.310864i
$529$	−6.74345	−	4.89941i	−0.293194	−	0.213018i
$530$	4.77203	−	2.05298i	0.207284	−	0.0891756i
$531$	15.7279	−	11.4270i	0.682532	−	0.495888i
$532$		−	0.191653i		−	0.00830923i
$533$	−13.7660	−	18.9473i	−0.596272	−	0.820698i
$534$	−0.0201912	−	0.0621421i	−0.000873758	−	0.00268915i
$535$	8.06332	−	35.7155i	0.348608	−	1.54411i
$536$	0.188664	−	0.580647i	0.00814903	−	0.0250801i
$537$	−2.80346	+	0.910900i	−0.120978	+	0.0393083i
$538$	4.51561	−	1.46721i	0.194682	−	0.0632559i
$539$	−0.360141	+	1.10840i	−0.0155124	+	0.0477422i
$540$	6.13533	+	14.2612i	0.264022	+	0.613705i
$541$	0.319363	+	0.982899i	0.0137305	+	0.0422581i	0.957687	−	0.287812i	$-0.0929277\pi$
$541$	0.319363	+	0.982899i	0.0137305	+	0.0422581i	−0.943957	+	0.330070i	$0.892928\pi$
$542$	0.259083	+	0.356598i	0.0111286	+	0.0153172i
$543$			31.8845i			1.36829i
$544$	2.09221	−	1.52008i	0.0897029	−	0.0651730i
$545$	−1.43913	−	15.5787i	−0.0616454	−	0.667318i
$546$	−1.74169	−	1.26541i	−0.0745374	−	0.0541546i
$547$	−4.64827	+	6.39779i	−0.198746	+	0.273550i	−0.896744	−	0.442549i	$-0.854074\pi$
$547$	−4.64827	+	6.39779i	−0.198746	+	0.273550i	0.697999	+	0.716099i	$0.254074\pi$
$548$	5.33531	+	1.73355i	0.227913	+	0.0740535i
$549$	−8.49231			−0.362443
$550$	1.21418	−	0.660778i	0.0517729	−	0.0281757i
$551$	0.413411			0.0176119
$552$	−7.04215	−	2.28813i	−0.299734	−	0.0973895i
$553$	−7.32873	+	10.0871i	−0.311649	+	0.428949i
$554$	−4.33143	−	3.14697i	−0.184025	−	0.133702i
$555$	11.2201	−	18.8802i	0.476266	−	0.801419i
$556$	−8.20126	+	5.95857i	−0.347811	+	0.252700i
$557$		−	12.4267i		−	0.526537i	−0.964723	−	0.263269i	$-0.915199\pi$
$557$		−	12.4267i		−	0.526537i	0.964723	−	0.263269i	$-0.0848005\pi$
$558$	−1.31839	−	1.81461i	−0.0558119	−	0.0768185i
$559$	11.3336	+	34.8812i	0.479359	+	1.47532i
$560$	−8.16161	+	0.753952i	−0.344891	+	0.0318603i
$561$	−0.702387	+	2.16172i	−0.0296548	+	0.0912680i
$562$	7.20720	−	2.34176i	0.304017	−	0.0987812i
$563$	−20.3847	+	6.62341i	−0.859115	+	0.279143i	−0.705259	−	0.708950i	$-0.749169\pi$
$563$	−20.3847	+	6.62341i	−0.859115	+	0.279143i	−0.153856	+	0.988093i	$0.549169\pi$
$564$	4.34185	−	13.3628i	0.182825	−	0.562677i
$565$	7.95360	−	0.734736i	0.334610	−	0.0309106i
$566$	1.13319	+	3.48761i	0.0476317	+	0.146595i
$567$	−6.58196	−	9.05929i	−0.276416	−	0.380454i
$568$			14.9291i			0.626413i
$569$	16.0687	−	11.6746i	0.673635	−	0.489424i	−0.197605	−	0.980282i	$-0.563316\pi$
$569$	16.0687	−	11.6746i	0.673635	−	0.489424i	0.871240	+	0.490857i	$0.163316\pi$
$570$	0.0552253	−	0.0929282i	0.00231313	−	0.00389234i
$571$	−21.9933	−	15.9791i	−0.920393	−	0.668704i	0.0232291	−	0.999730i	$-0.492605\pi$
$571$	−21.9933	−	15.9791i	−0.920393	−	0.668704i	−0.943622	+	0.331026i	$0.892605\pi$
$572$	−5.84656	+	8.04710i	−0.244457	+	0.336466i
$573$	24.1365	+	7.84244i	1.00832	+	0.327623i
$574$	−1.26528			−0.0528119
$575$	13.9017	+	13.1665i	0.579742	+	0.549083i
$576$	−8.49641			−0.354017
$577$	9.68830	+	3.14792i	0.403329	+	0.131050i	0.503655	−	0.863905i	$-0.331988\pi$
$577$	9.68830	+	3.14792i	0.403329	+	0.131050i	−0.100326	+	0.994955i	$0.531988\pi$
$578$	2.24624	−	3.09169i	0.0934314	−	0.128597i
$579$	17.3393	+	12.5977i	0.720597	+	0.523544i
$580$	−1.67627	−	18.1458i	−0.0696032	−	0.753462i
$581$	−3.45079	+	2.50714i	−0.143163	+	0.104014i
$582$		−	8.43689i		−	0.349720i
$583$	6.70884	+	9.23392i	0.277852	+	0.382430i
$584$	−3.34796	−	10.3040i	−0.138539	−	0.426380i
$585$	4.93455	+	11.4701i	0.204019	+	0.474230i
$586$	1.55606	−	4.78907i	0.0642803	−	0.197835i
$587$	−0.320293	+	0.104070i	−0.0132199	+	0.00429541i	−0.315619	−	0.948886i	$-0.602212\pi$
$587$	−0.320293	+	0.104070i	−0.0132199	+	0.00429541i	0.302400	+	0.953181i	$0.402212\pi$
$588$	3.82071	−	1.24142i	0.157563	−	0.0511954i
$589$	−0.226535	+	0.697203i	−0.00933421	+	0.0287278i
$590$	1.78572	−	7.90964i	0.0735171	−	0.325635i
$591$	−5.31507	−	16.3581i	−0.218633	−	0.672883i
$592$	−10.2388	−	14.0925i	−0.420812	−	0.579198i
$593$		−	24.4332i		−	1.00335i	−0.865055	−	0.501676i	$-0.832717\pi$
$593$		−	24.4332i		−	1.00335i	0.865055	−	0.501676i	$-0.167283\pi$
$594$	0.798939	−	0.580463i	0.0327808	−	0.0238167i
$595$	1.93826	−	0.833859i	0.0794608	−	0.0341849i
$596$	−1.84894	−	1.34333i	−0.0757354	−	0.0550250i
$597$	−23.3085	+	32.0814i	−0.953953	+	1.31300i
$598$	3.79361	+	1.23262i	0.155132	+	0.0504055i
$599$	27.8834			1.13928			0.569642	−	0.821893i	$-0.307082\pi$
$599$	27.8834			1.13928			0.569642	+	0.821893i	$0.307082\pi$
$600$	−8.73018	−	4.15366i	−0.356408	−	0.169572i
$601$	8.56384			0.349326			0.174663	−	0.984628i	$-0.444116\pi$
$601$	8.56384			0.349326			0.174663	+	0.984628i	$0.444116\pi$
$602$	1.88447	+	0.612301i	0.0768052	+	0.0249555i
$603$	0.487824	−	0.671432i	0.0198657	−	0.0273428i
$604$	20.1456	+	14.6366i	0.819713	+	0.595556i
$605$	−14.2231	−	16.2024i	−0.578252	−	0.658723i
$606$	4.38465	−	3.18564i	0.178114	−	0.129408i
$607$			8.38042i			0.340151i	0.985431	+	0.170075i	$0.0544011\pi$
$607$			8.38042i			0.340151i	−0.985431	+	0.170075i	$0.945599\pi$
$608$	−0.158836	−	0.218619i	−0.00644164	−	0.00886616i
$609$	2.67784	+	8.24156i	0.108512	+	0.333965i
$610$	−2.66198	+	2.33679i	−0.107781	+	0.0946139i
$611$	−4.74562	+	14.6055i	−0.191987	+	0.590876i
$612$	2.21841	−	0.720804i	0.0896738	−	0.0291368i
$613$	18.4125	−	5.98258i	0.743674	−	0.241634i	0.0874169	−	0.996172i	$-0.472139\pi$
$613$	18.4125	−	5.98258i	0.743674	−	0.241634i	0.656257	+	0.754538i	$0.272139\pi$
$614$	−1.44749	+	4.45490i	−0.0584158	+	0.179785i
$615$	21.1907	+	12.5932i	0.854491	+	0.507806i
$616$	0.336926	+	1.03695i	0.0135751	+	0.0417799i
$617$	−9.99668	−	13.7592i	−0.402451	−	0.553926i	0.558906	−	0.829231i	$-0.311221\pi$
$617$	−9.99668	−	13.7592i	−0.402451	−	0.553926i	−0.961357	+	0.275305i	$0.911221\pi$
$618$			3.19417i			0.128488i
$619$	−5.64853	+	4.10390i	−0.227034	+	0.164950i	−0.695487	−	0.718539i	$-0.744811\pi$
$619$	−5.64853	+	4.10390i	−0.227034	+	0.164950i	0.468453	+	0.883488i	$0.344811\pi$
$620$	31.5207	+	7.11629i	1.26590	+	0.285797i
$621$	11.0663	+	8.04017i	0.444077	+	0.322641i
$622$	0.991603	−	1.36482i	0.0397597	−	0.0547245i
$623$	−0.126744	−	0.0411818i	−0.00507791	−	0.00164991i
$624$	33.2655			1.33169
$625$	15.7708	+	19.3980i	0.630832	+	0.775919i
$626$	−2.67265			−0.106821
$627$	0.225882	+	0.0733935i	0.00902085	+	0.00293105i
$628$	−4.45051	+	6.12561i	−0.177595	+	0.244438i
$629$	3.62787	+	2.63580i	0.144653	+	0.105096i
$630$	0.658027	+	0.148560i	0.0262164	+	0.00591876i
$631$	7.23399	−	5.25580i	0.287981	−	0.209230i	−0.434410	−	0.900715i	$-0.643043\pi$
$631$	7.23399	−	5.25580i	0.287981	−	0.209230i	0.722391	+	0.691485i	$0.243043\pi$
$632$			11.6646i			0.463994i
$633$	22.6563	+	31.1838i	0.900509	+	1.23944i
$634$	0.366449	+	1.12781i	0.0145535	+	0.0447912i
$635$	−33.7431	−	20.0528i	−1.33905	−	0.795771i
$636$	12.1579	−	37.4181i	0.482091	−	1.48372i
$637$	−4.17602	+	1.35687i	−0.165460	+	0.0537612i
$638$	−1.10243	+	0.358202i	−0.0436457	+	0.0141813i
$639$	−6.27127	+	19.3010i	−0.248088	+	0.763535i
$640$	−11.8742	+	10.4236i	−0.469368	+	0.412029i
$641$	10.6879	+	32.8941i	0.422148	+	1.29924i	0.905699	+	0.423922i	$0.139347\pi$
$641$	10.6879	+	32.8941i	0.422148	+	1.29924i	−0.483550	+	0.875316i	$0.660653\pi$
$642$	4.71891	+	6.49503i	0.186241	+	0.256338i
$643$		−	6.38995i		−	0.251995i	−0.992031	−	0.125997i	$-0.959787\pi$
$643$		−	6.38995i		−	0.251995i	0.992031	−	0.125997i	$-0.0402131\pi$
$644$	−6.02183	+	4.37511i	−0.237293	+	0.172404i
$645$	−25.4666	−	29.0106i	−1.00274	−	1.14229i
$646$	0.0178564	+	0.0129734i	0.000702551	+	0.000510433i
$647$	2.92215	−	4.02199i	0.114881	−	0.158121i	−0.747704	−	0.664032i	$-0.768844\pi$
$647$	2.92215	−	4.02199i	0.114881	−	0.158121i	0.862585	+	0.505912i	$0.168844\pi$
$648$	−9.96331	−	3.23728i	−0.391396	−	0.127172i
$649$	17.8157			0.699329
$650$	4.70295	+	2.23757i	0.184465	+	0.0877649i
$651$	−15.3665			−0.602259
$652$	−25.8817	−	8.40946i	−1.01360	−	0.329340i
$653$	−27.6388	+	38.0415i	−1.08159	+	1.48868i	−0.223829	+	0.974628i	$0.571856\pi$
$653$	−27.6388	+	38.0415i	−1.08159	+	1.48868i	−0.857760	+	0.514051i	$0.828144\pi$
$654$	2.77527	+	2.01635i	0.108522	+	0.0788456i
$655$	16.5504	−	7.12014i	0.646676	−	0.278207i
$656$	15.8171	−	11.4918i	0.617554	−	0.448679i
$657$		−	14.7277i		−	0.574584i
$658$	0.487672	+	0.671222i	0.0190114	+	0.0261670i
$659$	14.5694	+	44.8401i	0.567544	+	1.74672i	0.660270	+	0.751029i	$0.270442\pi$
$659$	14.5694	+	44.8401i	0.567544	+	1.74672i	−0.0927257	+	0.995692i	$0.529558\pi$
$660$	2.30556	−	10.2122i	0.0897436	−	0.397508i
$661$	−9.09607	+	27.9948i	−0.353796	+	1.08887i	0.602908	+	0.797811i	$0.294009\pi$
$661$	−9.09607	+	27.9948i	−0.353796	+	1.08887i	−0.956704	+	0.291062i	$0.905991\pi$
$662$	−6.38208	+	2.07366i	−0.248046	+	0.0805952i
$663$	−8.14452	+	2.64631i	−0.316307	+	0.102774i
$664$	−1.23312	+	3.79514i	−0.0478542	+	0.147280i
$665$	−0.0871312	−	0.202532i	−0.00337880	−	0.00785384i
$666$	0.443027	+	1.36350i	0.0171669	+	0.0528344i
$667$	−9.43745	−	12.9895i	−0.365420	−	0.502957i
$668$		−	38.8860i		−	1.50454i
$669$	−38.8448	+	28.2224i	−1.50183	+	1.09114i
$670$	−0.0318425	−	0.344698i	−0.00123018	−	0.0133168i
$671$	−6.29615	−	4.57442i	−0.243060	−	0.176593i
$672$	3.32943	−	4.58256i	0.128435	−	0.176776i
$673$	31.6151	+	10.2724i	1.21867	+	0.395971i	0.846599	−	0.532231i	$-0.178646\pi$
$673$	31.6151	+	10.2724i	1.21867	+	0.395971i	0.372075	+	0.928203i	$0.378646\pi$
$674$	−0.688799			−0.0265315
$675$	12.9671	+	12.2814i	0.499105	+	0.472710i
$676$	−12.2070			−0.469502
$677$	−35.6973	−	11.5987i	−1.37196	−	0.445776i	−0.471940	−	0.881631i	$-0.656446\pi$
$677$	−35.6973	−	11.5987i	−1.37196	−	0.445776i	−0.900017	+	0.435855i	$0.856446\pi$
$678$	−1.02944	+	1.41690i	−0.0395352	+	0.0544156i
$679$	−13.9214	−	10.1145i	−0.534254	−	0.388159i
$680$	1.00846	−	1.69696i	0.0386729	−	0.0650753i
$681$	−4.48846	+	3.26106i	−0.171998	+	0.124964i
$682$		−	2.05549i		−	0.0787090i
$683$	−11.3139	−	15.5723i	−0.432915	−	0.595857i	0.535704	−	0.844406i	$-0.320046\pi$
$683$	−11.3139	−	15.5723i	−0.432915	−	0.595857i	−0.968619	+	0.248549i	$0.920046\pi$
$684$	−0.0753180	−	0.231805i	−0.00287985	−	0.00886328i
$685$	6.42626	−	0.593644i	0.245535	−	0.0226820i
$686$	−0.0733055	+	0.225611i	−0.00279882	+	0.00861387i
$687$	42.5394	−	13.8219i	1.62298	−	0.527337i
$688$	−29.1186	+	9.46121i	−1.11014	+	0.360705i
$689$	−13.2885	+	40.8978i	−0.506252	+	1.55808i
$690$	−4.18054	+	0.386189i	−0.159150	+	0.0147020i
$691$	6.25056	+	19.2372i	0.237782	+	0.731819i	0.996740	+	0.0806790i	$0.0257089\pi$
$691$	6.25056	+	19.2372i	0.237782	+	0.731819i	−0.758958	+	0.651140i	$0.774291\pi$
$692$	26.7979	+	36.8841i	1.01870	+	1.40212i
$693$			1.48214i			0.0563020i
$694$	−0.478706	+	0.347800i	−0.0181714	+	0.0132023i
$695$	−5.95782	+	10.0253i	−0.225993	+	0.380281i
$696$	6.55876	+	4.76522i	0.248609	+	0.180625i
$697$	−2.95837	+	4.07185i	−0.112056	+	0.154232i
$698$	−5.00737	−	1.62699i	−0.189532	−	0.0615826i
$699$	37.3479			1.41263
$700$	−8.53638	+	4.64564i	−0.322645	+	0.175589i
$701$	−14.2510			−0.538252			−0.269126	−	0.963105i	$-0.586735\pi$
$701$	−14.2510			−0.538252			−0.269126	+	0.963105i	$0.586735\pi$
$702$	3.53857	+	1.14975i	0.133555	+	0.0433945i
$703$	0.275419	−	0.379082i	0.0103876	−	0.0142974i
$704$	−6.29918	−	4.57662i	−0.237409	−	0.172488i
$705$	−1.48684	−	16.0952i	−0.0559977	−	0.606181i
$706$	−2.33912	+	1.69947i	−0.0880340	+	0.0639604i
$707$		−	11.0540i		−	0.415730i
$708$	−36.0968	−	49.6830i	−1.35660	−	1.86720i
$709$	−2.66941	−	8.21559i	−0.100252	−	0.308543i	0.888335	−	0.459196i	$-0.151862\pi$
$709$	−2.66941	−	8.21559i	−0.100252	−	0.308543i	−0.988587	+	0.150653i	$0.951862\pi$
$710$	3.34518	+	7.77569i	0.125543	+	0.291816i
$711$	−4.89996	+	15.0805i	−0.183763	+	0.565563i
$712$	−0.118574	+	0.0385271i	−0.00444375	+	0.00144386i
$713$	27.0778	−	8.79811i	1.01407	−	0.329492i
$714$	−0.142968	+	0.440011i	−0.00535045	+	0.0164670i
$715$	−2.51996	+	11.1619i	−0.0942413	+	0.417430i
$716$	0.856650	+	2.63650i	0.0320145	+	0.0985305i
$717$	−8.13611	−	11.1984i	−0.303849	−	0.418212i
$718$		−	4.91566i		−	0.183451i
$719$	−16.0489	+	11.6602i	−0.598525	+	0.434854i	−0.845355	−	0.534205i	$-0.820611\pi$
$719$	−16.0489	+	11.6602i	−0.598525	+	0.434854i	0.246830	+	0.969059i	$0.420611\pi$
$720$	−9.57517	+	4.11934i	−0.356845	+	0.153519i
$721$	5.27059	+	3.82931i	0.196287	+	0.142611i
$722$	−2.64792	+	3.64454i	−0.0985452	+	0.135636i
$723$	−18.7515	−	6.09273i	−0.697375	−	0.226591i
$724$	29.9855			1.11440
$725$	−10.0210	−	18.4136i	−0.372170	−	0.683865i
$726$	4.72729			0.175446
$727$	10.1026	+	3.28254i	0.374685	+	0.121743i	0.490305	−	0.871551i	$-0.336885\pi$
$727$	10.1026	+	3.28254i	0.374685	+	0.121743i	−0.115620	+	0.993294i	$0.536885\pi$
$728$	−2.41455	+	3.32334i	−0.0894891	+	0.123171i
$729$	6.39702	+	4.64771i	0.236927	+	0.172137i
$730$	−4.05256	−	4.61653i	−0.149992	−	0.170865i
$731$	6.37656	−	4.63284i	0.235846	−	0.171352i
$732$			26.8265i			0.991536i
$733$	−12.6835	−	17.4573i	−0.468475	−	0.644801i	0.507764	−	0.861496i	$-0.330472\pi$
$733$	−12.6835	−	17.4573i	−0.468475	−	0.644801i	−0.976239	+	0.216695i	$0.930472\pi$
$734$	0.835053	+	2.57003i	0.0308224	+	0.0948615i
$735$	3.47318	−	3.04889i	0.128110	−	0.112460i
$736$	−3.24314	+	9.98137i	−0.119544	+	0.367918i
$737$	0.723339	−	0.235027i	0.0266445	−	0.00865733i
$738$	−1.53036	+	0.497244i	−0.0563333	+	0.0183038i
$739$	6.05686	−	18.6411i	0.222805	−	0.685724i	−0.775702	−	0.631100i	$-0.782604\pi$
$739$	6.05686	−	18.6411i	0.222805	−	0.685724i	0.998507	−	0.0546242i	$-0.0173961\pi$
$740$	−17.7557	−	10.5518i	−0.652713	−	0.387894i
$741$	0.276518	+	0.851034i	0.0101581	+	0.0312635i
$742$	1.36556	+	1.87953i	0.0501313	+	0.0689998i
$743$			36.3616i			1.33398i	0.745068	+	0.666989i	$0.232417\pi$
$743$			36.3616i			1.33398i	−0.745068	+	0.666989i	$0.767583\pi$
$744$	−11.6303	+	8.44994i	−0.426389	+	0.309790i
$745$	−2.56460	−	0.578997i	−0.0939596	−	0.0212128i
$746$	2.50852	+	1.82255i	0.0918435	+	0.0667282i
$747$	−3.18844	+	4.38852i	−0.116659	+	0.160567i
$748$	2.03298	+	0.660554i	0.0743330	+	0.0241523i
$749$	16.3744			0.598309
$750$	−5.47774	−	0.207212i	−0.200019	−	0.00756631i
$751$	12.4511			0.454345			0.227173	−	0.973854i	$-0.427052\pi$
$751$	12.4511			0.454345			0.227173	+	0.973854i	$0.427052\pi$
$752$	−12.1926	−	3.96162i	−0.444619	−	0.144465i
$753$	−21.0970	+	29.0375i	−0.768816	+	1.05818i
$754$	−3.53320	−	2.56702i	−0.128672	−	0.0934854i
$755$	27.9433	+	6.30863i	1.01696	+	0.229594i
$756$	−5.61699	+	4.08098i	−0.204288	+	0.148424i
$757$			24.9455i			0.906659i	0.891343	+	0.453330i	$0.149764\pi$
$757$			24.9455i			0.906659i	−0.891343	+	0.453330i	$0.850236\pi$
$758$	−2.37039	−	3.26257i	−0.0860965	−	0.118502i
$759$	−2.85044	−	8.77274i	−0.103464	−	0.318430i
$760$	−0.177318	−	0.105376i	−0.00643199	−	0.00382239i
$761$	−5.56368	+	17.1232i	−0.201683	+	0.620717i	0.798150	+	0.602459i	$0.205812\pi$
$761$	−5.56368	+	17.1232i	−0.201683	+	0.620717i	−0.999833	+	0.0182586i	$0.994188\pi$
$762$	8.18538	−	2.65959i	0.296525	−	0.0963468i
$763$	6.65422	−	2.16209i	0.240899	−	0.0782729i
$764$	7.37536	−	22.6990i	0.266831	−	0.821222i
$765$	2.01662	−	1.77027i	0.0729112	−	0.0640042i
$766$	1.11000	+	3.41621i	0.0401058	+	0.123433i
$767$	39.4537	+	54.3034i	1.42459	+	1.96078i
$768$			24.1520i			0.871511i
$769$	−21.7761	+	15.8212i	−0.785265	+	0.570528i	−0.906554	−	0.422089i	$-0.861297\pi$
$769$	−21.7761	+	15.8212i	−0.785265	+	0.570528i	0.121290	+	0.992617i	$0.461297\pi$
$770$	0.407835	+	0.464590i	0.0146973	+	0.0167427i
$771$	−18.7736	−	13.6398i	−0.676114	−	0.491226i
$772$	11.8475	−	16.3066i	0.426399	−	0.586889i
$773$	34.0377	+	11.0595i	1.22425	+	0.397783i	0.848628	−	0.528990i	$-0.177429\pi$
$773$	34.0377	+	11.0595i	1.22425	+	0.397783i	0.375622	+	0.926773i	$0.377429\pi$
$774$	2.51989			0.0905757
$775$	36.5451	−	6.81003i	1.31274	−	0.244623i
$776$	−16.0985			−0.577904
$777$	9.34121	+	3.03514i	0.335114	+	0.108885i
$778$	−2.80302	+	3.85802i	−0.100493	+	0.138317i
$779$	0.425474	+	0.309125i	0.0152442	+	0.0110755i
$780$	36.2330	−	15.5878i	1.29735	−	0.558134i
$781$	−15.0460	+	10.9316i	−0.538390	+	0.391163i
$782$		−	0.857216i		−	0.0306540i
$783$	−8.80298	−	12.1163i	−0.314593	−	0.433000i
$784$	−1.13271	−	3.48612i	−0.0404539	−	0.124504i
$785$	−1.91824	+	8.49662i	−0.0684650	+	0.303257i
$786$	−1.22078	+	3.75716i	−0.0435436	+	0.134013i
$787$	22.3987	−	7.27778i	0.798428	−	0.259425i	0.118739	−	0.992926i	$-0.462115\pi$
$787$	22.3987	−	7.27778i	0.798428	−	0.259425i	0.679689	+	0.733501i	$0.262115\pi$
$788$	−15.3839	+	4.99852i	−0.548028	+	0.178065i
$789$	2.47087	−	7.60455i	0.0879652	−	0.270729i
$790$	2.61370	+	6.07541i	0.0929914	+	0.216153i
$791$	1.10384	+	3.39727i	0.0392480	+	0.120793i
$792$	0.815023	+	1.12178i	0.0289606	+	0.0398608i
$793$		−	29.3213i		−	1.04123i
$794$	2.98508	−	2.16879i	0.105937	−	0.0769674i
$795$	−4.16340	−	45.0692i	−0.147661	−	1.59844i
$796$	30.1707	+	21.9203i	1.06937	+	0.776945i
$797$	16.4413	−	22.6295i	0.582380	−	0.801577i	−0.411574	−	0.911376i	$-0.635021\pi$
$797$	16.4413	−	22.6295i	0.582380	−	0.801577i	0.993954	+	0.109799i	$0.0350208\pi$
$798$	0.0459774	+	0.0149390i	0.00162758	+	0.000528834i
$799$	3.30031			0.116757
$800$	−5.88728	+	12.3739i	−0.208147	+	0.437484i
$801$	−0.169482			−0.00598833
$802$	0.406350	+	0.132031i	0.0143487	+	0.00466218i
$803$	7.93316	−	10.9191i	0.279955	−	0.385325i
$804$	−2.12100	−	1.54099i	−0.0748018	−	0.0543467i
$805$	−4.37457	+	7.36114i	−0.154183	+	0.259446i
$806$	6.26526	−	4.55198i	0.220684	−	0.160337i
$807$		−	41.3674i		−	1.45620i
$808$	−6.07856	−	8.36642i	−0.213843	−	0.294329i
$809$	−10.0421	−	30.9065i	−0.353063	−	1.08662i	−0.957124	−	0.289678i	$-0.906452\pi$
$809$	−10.0421	−	30.9065i	−0.353063	−	1.08662i	0.604061	−	0.796938i	$-0.293548\pi$
$810$	−5.91467	+	0.546385i	−0.207820	+	0.0191980i
$811$	2.22577	−	6.85023i	0.0781575	−	0.240544i	−0.904342	−	0.426808i	$-0.859638\pi$
$811$	2.22577	−	6.85023i	0.0781575	−	0.240544i	0.982500	+	0.186264i	$0.0596380\pi$
$812$	7.75071	−	2.51836i	0.271997	−	0.0883771i
$813$	3.65238	−	1.18673i	0.128094	−	0.0416204i
$814$	−0.405996	+	1.24953i	−0.0142301	+	0.0437959i
$815$	−31.1739	+	2.87978i	−1.09197	+	0.100874i
$816$	−2.20913	−	6.79900i	−0.0773350	−	0.238013i
$817$	−0.484093	−	0.666297i	−0.0169363	−	0.0233108i
$818$		−	6.80019i		−	0.237763i
$819$	−4.51766	+	3.28227i	−0.157860	+	0.114692i
$820$	11.8432	−	19.9286i	0.413581	−	0.695938i
$821$	−2.84001	−	2.06339i	−0.0991170	−	0.0720127i	0.537123	−	0.843504i	$-0.319511\pi$
$821$	−2.84001	−	2.06339i	−0.0991170	−	0.0720127i	−0.636240	+	0.771491i	$0.719511\pi$
$822$	−0.831752	+	1.14481i	−0.0290107	+	0.0399298i
$823$	−0.574616	−	0.186704i	−0.0200298	−	0.00650809i	0.298985	−	0.954258i	$-0.403352\pi$
$823$	−0.574616	−	0.186704i	−0.0200298	−	0.00650809i	−0.319015	+	0.947750i	$0.603352\pi$
$824$	6.09484			0.212324
$825$	−2.20633	−	11.8400i	−0.0768146	−	0.412215i
$826$	3.62633			0.126176
$827$	−4.19441	−	1.36284i	−0.145854	−	0.0473908i	0.235180	−	0.971952i	$-0.424432\pi$
$827$	−4.19441	−	1.36284i	−0.145854	−	0.0473908i	−0.381034	+	0.924561i	$0.624432\pi$
$828$	−5.56402	+	7.65822i	−0.193363	+	0.266142i
$829$	14.1395	+	10.2730i	0.491087	+	0.356795i	0.805602	−	0.592457i	$-0.201842\pi$
$829$	14.1395	+	10.2730i	0.491087	+	0.356795i	−0.314515	+	0.949252i	$0.601842\pi$
$830$	0.208124	+	2.25297i	0.00722410	+	0.0782016i
$831$	−37.7381	+	27.4183i	−1.30912	+	0.951131i
$832$		−	29.3354i		−	1.01702i
$833$	0.554650	+	0.763410i	0.0192175	+	0.0264506i
$834$	−0.790182	−	2.43193i	−0.0273618	−	0.0842109i
$835$	−17.6787	−	41.0931i	−0.611796	−	1.42208i
$836$	0.0690224	−	0.212429i	0.00238719	−	0.00734701i
$837$	25.2574	−	8.20662i	0.873023	−	0.283662i
$838$	2.97025	−	0.965093i	0.102606	−	0.0333386i
$839$	−3.21385	+	9.89120i	−0.110954	+	0.341482i	−0.991082	−	0.133255i	$-0.957457\pi$
$839$	−3.21385	+	9.89120i	−0.110954	+	0.341482i	0.880127	+	0.474737i	$0.157457\pi$
$840$	0.952162	−	4.21748i	0.0328527	−	0.145517i
$841$	−3.52920	−	10.8618i	−0.121697	−	0.374544i
$842$	−4.40708	−	6.06582i	−0.151878	−	0.209042i
$843$		−	66.0250i		−	2.27402i
$844$	29.3266	−	21.3070i	1.00946	−	0.733417i
$845$	−12.8999	+	5.54968i	−0.443770	+	0.190915i
$846$	0.853623	+	0.620193i	0.0293482	+	0.0213227i
$847$	5.66728	−	7.80033i	0.194730	−	0.268023i
$848$	−34.1413	−	11.0932i	−1.17242	−	0.380941i
$849$	31.9500			1.09652
$850$	0.145010	−	1.10981i	0.00497382	−	0.0380662i
$851$	−18.1983			−0.623828
$852$	60.9702	+	19.8104i	2.08881	+	0.678694i
$853$	−7.05057	+	9.70428i	−0.241407	+	0.332268i	−0.912479	−	0.409124i	$-0.865834\pi$
$853$	−7.05057	+	9.70428i	−0.241407	+	0.332268i	0.671072	+	0.741392i	$0.265834\pi$
$854$	−1.28156	−	0.931106i	−0.0438540	−	0.0318618i
$855$	−0.184978	−	0.210720i	−0.00632612	−	0.00720648i
$856$	12.3932	−	9.00422i	0.423592	−	0.307758i
$857$			5.67400i			0.193820i	0.995293	+	0.0969100i	$0.0308959\pi$
$857$			5.67400i			0.193820i	−0.995293	+	0.0969100i	$0.969104\pi$
$858$	−1.47476	−	2.02984i	−0.0503476	−	0.0692975i
$859$	−7.01294	−	21.5836i	−0.239279	−	0.736424i	−0.996525	−	0.0832944i	$-0.973456\pi$
$859$	−7.01294	−	21.5836i	−0.239279	−	0.736424i	0.757246	−	0.653129i	$-0.226544\pi$
$860$	−27.2828	+	23.9498i	−0.930335	+	0.816683i
$861$	−3.40658	+	10.4844i	−0.116096	+	0.357306i
$862$	8.65961	−	2.81368i	0.294948	−	0.0958343i
$863$	−5.89597	+	1.91572i	−0.200701	+	0.0652118i	−0.407643	−	0.913142i	$-0.633649\pi$
$863$	−5.89597	+	1.91572i	−0.200701	+	0.0652118i	0.206941	+	0.978353i	$0.433649\pi$
$864$	−3.02511	+	9.31033i	−0.102916	+	0.316744i
$865$	45.0875	+	26.7946i	1.53302	+	0.911042i
$866$	0.761352	+	2.34320i	0.0258718	+	0.0796252i
$867$	−19.5706	−	26.9367i	−0.664654	−	0.914818i
$868$			14.4513i			0.490508i
$869$	−11.7560	+	8.54122i	−0.398794	+	0.289741i
$870$	4.48381	+	1.01229i	0.152015	+	0.0343198i
$871$	2.31824	+	1.68430i	0.0785506	+	0.0570704i
$872$	3.84743	−	5.29553i	0.130290	−	0.179329i
$873$	−20.8128	−	6.76250i	−0.704408	−	0.228876i
$874$	−0.0895718			−0.00302981
$875$	−6.90885	+	8.79021i	−0.233562	+	0.297163i
$876$	−46.5237			−1.57189
$877$	−28.8805	−	9.38386i	−0.975227	−	0.316870i	−0.222303	−	0.974978i	$-0.571357\pi$
$877$	−28.8805	−	9.38386i	−0.975227	−	0.316870i	−0.752924	+	0.658107i	$0.771357\pi$
$878$	−1.54128	+	2.12139i	−0.0520157	+	0.0715935i
$879$	−35.4936	−	25.7876i	−1.19717	−	0.869796i
$880$	−9.31787	−	2.10365i	−0.314105	−	0.0709141i
$881$	−40.0882	+	29.1258i	−1.35061	+	0.981272i	−0.351624	+	0.936141i	$0.614371\pi$
$881$	−40.0882	+	29.1258i	−1.35061	+	0.981272i	−0.998981	+	0.0451309i	$0.985629\pi$
$882$			0.301685i			0.0101583i
$883$	9.10847	+	12.5367i	0.306524	+	0.421894i	0.934293	−	0.356505i	$-0.116032\pi$
$883$	9.10847	+	12.5367i	0.306524	+	0.421894i	−0.627769	+	0.778400i	$0.716032\pi$
$884$	2.48871	+	7.65946i	0.0837043	+	0.257615i
$885$	−60.7330	−	36.0923i	−2.04152	−	1.21323i
$886$	1.06212	−	3.26887i	0.0356827	−	0.109820i
$887$	23.6860	−	7.69604i	0.795297	−	0.258408i	0.116939	−	0.993139i	$-0.462692\pi$
$887$	23.6860	−	7.69604i	0.795297	−	0.258408i	0.678358	+	0.734731i	$0.262692\pi$
$888$	8.73904	−	2.83949i	0.293263	−	0.0952869i
$889$	5.42448	−	16.6948i	0.181931	−	0.559926i
$890$	−0.0531254	+	0.0466354i	−0.00178077	+	0.00156322i
$891$	−4.03283	−	12.4118i	−0.135105	−	0.415810i
$892$	26.5416	+	36.5313i	0.888677	+	1.22316i
$893$		−	0.344855i		−	0.0115401i
$894$	0.466384	−	0.338848i	0.0155982	−	0.0113328i
$895$	2.10390	+	2.39668i	0.0703256	+	0.0801123i
$896$	−5.71658	−	4.15334i	−0.190978	−	0.138753i
$897$	20.4274	−	28.1159i	0.682051	−	0.938763i
$898$	−1.00153	−	0.325415i	−0.0334213	−	0.0108592i
$899$	−31.1725			−1.03966
$900$	−8.49906	+	8.97362i	−0.283302	+	0.299121i
$901$	9.24141			0.307876
$902$	−1.40244	−	0.455681i	−0.0466962	−	0.0151725i
$903$	10.1473	−	13.9665i	0.337680	−	0.464777i
$904$	2.70360	+	1.96428i	0.0899204	+	0.0653310i
$905$	31.6875	−	13.6323i	1.05333	−	0.453152i
$906$	−5.08162	+	3.69201i	−0.168825	+	0.122659i
$907$		−	25.4988i		−	0.846673i	−0.905972	−	0.423337i	$-0.860859\pi$
$907$		−	25.4988i		−	0.846673i	0.905972	−	0.423337i	$-0.139141\pi$
$908$	3.06684	+	4.22114i	0.101777	+	0.140084i
$909$	−4.34413	−	13.3699i	−0.144086	−	0.443450i
$910$	−0.512929	+	2.27196i	−0.0170034	+	0.0753147i
$911$	−2.58771	+	7.96416i	−0.0857347	+	0.263864i	−0.984728	−	0.174097i	$-0.944299\pi$
$911$	−2.58771	+	7.96416i	−0.0857347	+	0.263864i	0.898994	+	0.437961i	$0.144299\pi$
$912$	−0.710438	+	0.230835i	−0.0235250	+	0.00764373i
$913$	−4.72779	+	1.53615i	−0.156467	+	0.0508392i
$914$	1.22301	−	3.76403i	0.0404535	−	0.124503i
$915$	12.1961	+	28.3491i	0.403191	+	0.937194i
$916$	−12.9987	−	40.0058i	−0.429489	−	1.32183i
$917$	4.73604	+	6.51860i	0.156398	+	0.215263i
$918$		−	0.799586i		−	0.0263903i
$919$	−13.2574	+	9.63207i	−0.437322	+	0.317733i	−0.784570	−	0.620040i	$-0.787116\pi$
$919$	−13.2574	+	9.63207i	−0.437322	+	0.317733i	0.347248	+	0.937773i	$0.387116\pi$
$920$	0.736893	+	7.97694i	0.0242946	+	0.262992i
$921$	33.0170	+	23.9883i	1.08795	+	0.790441i
$922$	−1.97812	+	2.72265i	−0.0651459	+	0.0896656i
$923$	−66.6402	−	21.6527i	−2.19349	−	0.712708i
$924$	4.68197			0.154025
$925$	−23.5607	−	3.07850i	−0.774671	−	0.101220i
$926$	4.36491			0.143440
$927$	7.87966	+	2.56026i	0.258802	+	0.0840899i
$928$	6.75409	−	9.29621i	0.221714	−	0.305163i
$929$	−4.90025	−	3.56024i	−0.160772	−	0.116808i	0.504490	−	0.863417i	$-0.331680\pi$
$929$	−4.90025	−	3.56024i	−0.160772	−	0.116808i	−0.665262	+	0.746610i	$0.731680\pi$
$930$	−4.16416	+	7.00709i	−0.136548	+	0.229771i
$931$	0.0797700	−	0.0579563i	0.00261435	−	0.00189944i
$932$		−	35.1236i		−	1.15051i
$933$	−8.63946	−	11.8912i	−0.282843	−	0.389300i
$934$	−0.643777	−	1.98134i	−0.0210650	−	0.0648315i
$935$	2.44867	−	0.226203i	0.0800802	−	0.00739764i
$936$	−1.61435	+	4.96847i	−0.0527668	+	0.162400i
$937$	16.6601	−	5.41320i	0.544262	−	0.176842i	−0.0239655	−	0.999713i	$-0.507629\pi$
$937$	16.6601	−	5.41320i	0.544262	−	0.176842i	0.568228	+	0.822871i	$0.307629\pi$
$938$	0.147233	−	0.0478389i	0.00480733	−	0.00156200i
$939$	−7.19570	+	22.1461i	−0.234823	+	0.722710i
$940$	−15.1366	+	1.39829i	−0.493703	+	0.0456072i
$941$	14.8661	+	45.7531i	0.484621	+	1.49151i	0.832529	+	0.553981i	$0.186892\pi$
$941$	14.8661	+	45.7531i	0.484621	+	1.49151i	−0.347909	+	0.937528i	$0.613108\pi$
$942$	−1.12262	−	1.54515i	−0.0365769	−	0.0503437i
$943$		−	20.4253i		−	0.665140i
$944$	−45.3322	+	32.9357i	−1.47544	+	1.07197i
$945$	−4.08047	+	6.86626i	−0.132738	+	0.223359i
$946$	1.86823	+	1.35735i	0.0607415	+	0.0441313i
$947$	−10.1533	+	13.9748i	−0.329938	+	0.454121i	−0.941469	−	0.337100i	$-0.890554\pi$
$947$	−10.1533	+	13.9748i	−0.329938	+	0.454121i	0.611531	+	0.791221i	$0.290554\pi$
$948$	47.6381	+	15.4785i	1.54721	+	0.502720i
$949$	50.8502			1.65067
$950$	−0.115966	−	0.0151524i	−0.00376243	−	0.000491608i
$951$	10.3319			0.335034
$952$	0.839591	+	0.272800i	0.0272113	+	0.00884149i
$953$	−24.6482	+	33.9253i	−0.798433	+	1.09895i	0.194573	+	0.980888i	$0.437668\pi$
$953$	−24.6482	+	33.9253i	−0.798433	+	1.09895i	−0.993006	+	0.118061i	$0.962332\pi$
$954$	2.39028	+	1.73664i	0.0773882	+	0.0562258i
$955$	−2.52565	−	27.3405i	−0.0817282	−	0.884717i
$956$	−10.5314	+	7.65155i	−0.340611	+	0.247469i
$957$			10.0994i			0.326466i
$958$	0.358747	+	0.493773i	0.0115906	+	0.0159531i
$959$	0.891869	+	2.74489i	0.0287999	+	0.0886371i
$960$	12.2020	+	28.3628i	0.393817	+	0.915406i
$961$	7.50194	−	23.0886i	0.241998	−	0.744793i
$962$	−4.70772	+	1.52963i	−0.151783	+	0.0493173i
$963$	19.8049	−	6.43500i	0.638204	−	0.207365i
$964$	−5.72986	+	17.6347i	−0.184546	+	0.567975i
$965$	5.10645	−	22.6184i	0.164382	−	0.728111i
$966$	−0.580196	−	1.78566i	−0.0186675	−	0.0574527i
$967$	23.3462	+	32.1332i	0.750762	+	1.03334i	0.997927	+	0.0643618i	$0.0205012\pi$
$967$	23.3462	+	32.1332i	0.750762	+	1.03334i	−0.247165	+	0.968974i	$0.579499\pi$
$968$		−	9.02021i		−	0.289920i
$969$	0.155576	−	0.113033i	0.00499782	−	0.00363113i
$970$	−8.38476	+	3.60721i	−0.269218	+	0.115821i
$971$	2.41321	+	1.75330i	0.0774437	+	0.0562661i	0.625833	−	0.779957i	$-0.284759\pi$
$971$	2.41321	+	1.75330i	0.0774437	+	0.0562661i	−0.548390	+	0.836223i	$0.684759\pi$
$972$	−14.1990	+	19.5432i	−0.455432	+	0.626849i
$973$	−4.96015	−	1.61165i	−0.159015	−	0.0516671i
$974$	−1.63759			−0.0524716
$975$	31.2029	−	32.9452i	0.999293	−	1.05509i
$976$	24.4772			0.783497
$977$	19.9858	+	6.49379i	0.639403	+	0.207755i	0.610736	−	0.791834i	$-0.290874\pi$
$977$	19.9858	+	6.49379i	0.639403	+	0.207755i	0.0286673	+	0.999589i	$0.490874\pi$
$978$	4.03484	−	5.55348i	0.129020	−	0.177581i
$979$	−0.125653	−	0.0912919i	−0.00401587	−	0.00291770i
$980$	−2.86731	−	3.26633i	−0.0915928	−	0.104339i
$981$	7.19860	−	5.23009i	0.229834	−	0.166984i
$982$			3.95878i			0.126330i
$983$	8.96699	+	12.3420i	0.286002	+	0.393649i	0.927711	−	0.373300i	$-0.121774\pi$
$983$	8.96699	+	12.3420i	0.286002	+	0.393649i	−0.641708	+	0.766949i	$0.721774\pi$
$984$	3.18698	+	9.80851i	0.101597	+	0.312684i
$985$	−13.9846	+	12.2762i	−0.445586	+	0.391152i
$986$	−0.290026	+	0.892609i	−0.00923632	+	0.0284265i
$987$	6.87485	−	2.23378i	0.218829	−	0.0711019i
$988$	0.800349	−	0.260049i	0.0254625	−	0.00827326i
$989$	−9.88431	+	30.4208i	−0.314303	+	0.967325i
$990$	0.675855	+	0.401647i	0.0214801	+	0.0127652i
$991$	1.09403	+	3.36707i	0.0347529	+	0.106959i	0.966928	−	0.255049i	$-0.0820915\pi$
$991$	1.09403	+	3.36707i	0.0347529	+	0.106959i	−0.932175	+	0.362007i	$0.882092\pi$
$992$	11.9767	+	16.4845i	0.380261	+	0.523385i
$993$			58.4661i			1.85537i
$994$	−3.06257	+	2.22509i	−0.0971387	+	0.0705754i
$995$	41.8488	+	9.44801i	1.32670	+	0.299522i
$996$	13.8630	+	10.0720i	0.439265	+	0.319144i
$997$	−22.1391	+	30.4719i	−0.701152	+	0.965053i	0.298790	+	0.954319i	$0.403417\pi$
$997$	−22.1391	+	30.4719i	−0.701152	+	0.965053i	−0.999942	+	0.0107344i	$0.996583\pi$
$998$	−6.83231	−	2.21995i	−0.216273	−	0.0702714i
$999$	−16.9748			−0.537059

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	175.2.n.a.29.8	✓	56
5.2	odd	4		875.2.h.e.351.8		56
5.3	odd	4		875.2.h.d.351.7		56
5.4	even	2		875.2.n.c.274.7		56
25.6	even	5		875.2.n.c.99.7		56
25.8	odd	20		875.2.h.d.526.7		56
25.12	odd	20		4375.2.a.o.1.15		28
25.13	odd	20		4375.2.a.p.1.14		28
25.17	odd	20		875.2.h.e.526.8		56
25.19	even	10	inner	175.2.n.a.169.8	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
175.2.n.a.29.8	✓	56	1.1	even	1	trivial
175.2.n.a.169.8	yes	56	25.19	even	10	inner
875.2.h.d.351.7		56	5.3	odd	4
875.2.h.d.526.7		56	25.8	odd	20
875.2.h.e.351.8		56	5.2	odd	4
875.2.h.e.526.8		56	25.17	odd	20
875.2.n.c.99.7		56	25.6	even	5
875.2.n.c.274.7		56	5.4	even	2
4375.2.a.o.1.15		28	25.12	odd	20
4375.2.a.p.1.14		28	25.13	odd	20

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:	\( N \)	\(=\)	\( 175 = 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	175.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.225611 + 0.0733055i) q^{2} +(1.21485 - 1.67209i) q^{3} +(-1.57251 - 1.14249i) q^{4} +(-2.18117 - 0.492433i) q^{5} +(0.396656 - 0.288188i) q^{6} -1.00000i q^{7} +(-0.549895 - 0.756865i) q^{8} +(-0.392990 - 1.20950i) q^{9} +O(q^{10})\)	\(q+(0.225611 + 0.0733055i) q^{2} +(1.21485 - 1.67209i) q^{3} +(-1.57251 - 1.14249i) q^{4} +(-2.18117 - 0.492433i) q^{5} +(0.396656 - 0.288188i) q^{6} -1.00000i q^{7} +(-0.549895 - 0.756865i) q^{8} +(-0.392990 - 1.20950i) q^{9} +(-0.455999 - 0.270990i) q^{10} +(0.360141 - 1.10840i) q^{11} +(-3.82071 + 1.24142i) q^{12} +(4.17602 - 1.35687i) q^{13} +(0.0733055 - 0.225611i) q^{14} +(-3.47318 + 3.04889i) q^{15} +(1.13271 + 3.48612i) q^{16} +(-0.554650 - 0.763410i) q^{17} -0.301685i q^{18} +(-0.0797700 + 0.0579563i) q^{19} +(2.86731 + 3.26633i) q^{20} +(-1.67209 - 1.21485i) q^{21} +(0.162504 - 0.223667i) q^{22} +(3.64202 + 1.18336i) q^{23} -1.93359 q^{24} +(4.51502 + 2.14816i) q^{25} +1.04162 q^{26} +(3.39717 + 1.10381i) q^{27} +(-1.14249 + 1.57251i) q^{28} +(-3.39202 - 2.46444i) q^{29} +(-1.00709 + 0.433260i) q^{30} +(6.01491 - 4.37009i) q^{31} +2.74061i q^{32} +(-1.41583 - 1.94873i) q^{33} +(-0.0691731 - 0.212893i) q^{34} +(-0.492433 + 2.18117i) q^{35} +(-0.763866 + 2.35094i) q^{36} +(-4.51960 + 1.46851i) q^{37} +(-0.0222455 + 0.00722800i) q^{38} +(2.80441 - 8.63108i) q^{39} +(0.826709 + 1.92164i) q^{40} +(-1.64822 - 5.07271i) q^{41} +(-0.288188 - 0.396656i) q^{42} +8.35273i q^{43} +(-1.83267 + 1.33151i) q^{44} +(0.261582 + 2.83165i) q^{45} +(0.734933 + 0.533960i) q^{46} +(-2.05576 + 2.82952i) q^{47} +(7.20518 + 2.34110i) q^{48} -1.00000 q^{49} +(0.861167 + 0.815625i) q^{50} -1.95031 q^{51} +(-8.11704 - 2.63738i) q^{52} +(-5.75647 + 7.92310i) q^{53} +(0.685524 + 0.498062i) q^{54} +(-1.33134 + 2.24027i) q^{55} +(-0.756865 + 0.549895i) q^{56} +0.203791i q^{57} +(-0.584619 - 0.804660i) q^{58} +(4.72384 + 14.5385i) q^{59} +(8.94494 - 0.826314i) q^{60} +(2.06352 - 6.35086i) q^{61} +(1.67738 - 0.545014i) q^{62} +(-1.20950 + 0.392990i) q^{63} +(2.06452 - 6.35392i) q^{64} +(-9.77678 + 0.903158i) q^{65} +(-0.176575 - 0.543443i) q^{66} +(0.383587 + 0.527962i) q^{67} +1.83415i q^{68} +(6.40318 - 4.65218i) q^{69} +(-0.270990 + 0.455999i) q^{70} +(-12.9102 - 9.37978i) q^{71} +(-0.699325 + 0.962539i) q^{72} +(11.0139 + 3.57865i) q^{73} -1.12732 q^{74} +(9.07698 - 4.93984i) q^{75} +0.191653 q^{76} +(-1.10840 - 0.360141i) q^{77} +(1.26541 - 1.74169i) q^{78} +(-10.0871 - 7.32873i) q^{79} +(-0.753952 - 8.16161i) q^{80} +(9.05929 - 6.58196i) q^{81} -1.26528i q^{82} +(-2.50714 - 3.45079i) q^{83} +(1.24142 + 3.82071i) q^{84} +(0.833859 + 1.93826i) q^{85} +(-0.612301 + 1.88447i) q^{86} +(-8.24156 + 2.67784i) q^{87} +(-1.03695 + 0.336926i) q^{88} +(0.0411818 - 0.126744i) q^{89} +(-0.148560 + 0.658027i) q^{90} +(-1.35687 - 4.17602i) q^{91} +(-4.37511 - 6.02183i) q^{92} -15.3665i q^{93} +(-0.671222 + 0.487672i) q^{94} +(0.202532 - 0.0871312i) q^{95} +(4.58256 + 3.32943i) q^{96} +(10.1145 - 13.9214i) q^{97} +(-0.225611 - 0.0733055i) q^{98} -1.48214 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9}+O(q^{10}) \) 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9	\( 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9} - 4 q^{10} + 8 q^{11} - 40 q^{12} - 4 q^{14} - 18 q^{15} - 32 q^{16} + 12 q^{19} + 12 q^{20} + 4 q^{21} - 30 q^{22} + 10 q^{23} - 28 q^{24} + 4 q^{25} + 12 q^{26} + 30 q^{27} - 2 q^{29} + 28 q^{30} + 12 q^{31} + 20 q^{33} + 2 q^{35} - 14 q^{36} - 70 q^{37} - 70 q^{38} - 4 q^{39} - 30 q^{40} + 4 q^{41} + 50 q^{42} + 22 q^{44} - 52 q^{45} - 4 q^{46} - 10 q^{47} + 30 q^{48} - 56 q^{49} - 54 q^{50} - 44 q^{51} - 20 q^{53} + 54 q^{54} - 2 q^{55} + 12 q^{56} + 10 q^{58} - 6 q^{59} + 16 q^{60} - 4 q^{61} + 50 q^{62} + 20 q^{63} + 24 q^{64} - 18 q^{65} - 74 q^{66} + 10 q^{67} - 78 q^{69} + 8 q^{70} - 8 q^{71} + 140 q^{72} + 40 q^{73} + 60 q^{74} - 8 q^{75} + 52 q^{76} - 20 q^{77} - 90 q^{78} + 124 q^{80} - 72 q^{81} - 30 q^{83} - 12 q^{84} + 96 q^{85} - 20 q^{86} + 30 q^{87} + 140 q^{88} + 38 q^{89} - 8 q^{90} + 8 q^{91} + 80 q^{92} + 88 q^{94} - 70 q^{95} - 28 q^{96} - 30 q^{97} + 60 q^{99}+O(q^{100}) \) 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9 - 4 * q^10 + 8 * q^11 - 40 * q^12 - 4 * q^14 - 18 * q^15 - 32 * q^16 + 12 * q^19 + 12 * q^20 + 4 * q^21 - 30 * q^22 + 10 * q^23 - 28 * q^24 + 4 * q^25 + 12 * q^26 + 30 * q^27 - 2 * q^29 + 28 * q^30 + 12 * q^31 + 20 * q^33 + 2 * q^35 - 14 * q^36 - 70 * q^37 - 70 * q^38 - 4 * q^39 - 30 * q^40 + 4 * q^41 + 50 * q^42 + 22 * q^44 - 52 * q^45 - 4 * q^46 - 10 * q^47 + 30 * q^48 - 56 * q^49 - 54 * q^50 - 44 * q^51 - 20 * q^53 + 54 * q^54 - 2 * q^55 + 12 * q^56 + 10 * q^58 - 6 * q^59 + 16 * q^60 - 4 * q^61 + 50 * q^62 + 20 * q^63 + 24 * q^64 - 18 * q^65 - 74 * q^66 + 10 * q^67 - 78 * q^69 + 8 * q^70 - 8 * q^71 + 140 * q^72 + 40 * q^73 + 60 * q^74 - 8 * q^75 + 52 * q^76 - 20 * q^77 - 90 * q^78 + 124 * q^80 - 72 * q^81 - 30 * q^83 - 12 * q^84 + 96 * q^85 - 20 * q^86 + 30 * q^87 + 140 * q^88 + 38 * q^89 - 8 * q^90 + 8 * q^91 + 80 * q^92 + 88 * q^94 - 70 * q^95 - 28 * q^96 - 30 * q^97 + 60 * q^99

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