Properties

Label 108.3.j.a.7.14
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 7.14
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.974385 - 1.74659i) q^{2} +(-0.586935 + 2.94202i) q^{3} +(-2.10115 + 3.40370i) q^{4} +(-1.26933 - 7.19876i) q^{5} +(5.71041 - 1.84153i) q^{6} +(-2.67622 + 3.18940i) q^{7} +(7.99219 + 0.353324i) q^{8} +(-8.31101 - 3.45355i) q^{9} +O(q^{10})\) \(q+(-0.974385 - 1.74659i) q^{2} +(-0.586935 + 2.94202i) q^{3} +(-2.10115 + 3.40370i) q^{4} +(-1.26933 - 7.19876i) q^{5} +(5.71041 - 1.84153i) q^{6} +(-2.67622 + 3.18940i) q^{7} +(7.99219 + 0.353324i) q^{8} +(-8.31101 - 3.45355i) q^{9} +(-11.3364 + 9.23137i) q^{10} +(-18.4141 - 3.24691i) q^{11} +(-8.78054 - 8.17938i) q^{12} +(-15.1228 - 5.50426i) q^{13} +(8.17823 + 1.56656i) q^{14} +(21.9239 + 0.490788i) q^{15} +(-7.17036 - 14.3034i) q^{16} +(7.49839 + 12.9876i) q^{17} +(2.06619 + 17.8810i) q^{18} +(0.338254 + 0.195291i) q^{19} +(27.1695 + 10.8052i) q^{20} +(-7.81251 - 9.74547i) q^{21} +(12.2714 + 35.3257i) q^{22} +(-10.6620 - 12.7065i) q^{23} +(-5.73039 + 23.3059i) q^{24} +(-26.7186 + 9.72476i) q^{25} +(5.12179 + 31.7767i) q^{26} +(15.0385 - 22.4242i) q^{27} +(-5.23262 - 15.8104i) q^{28} +(36.9589 - 13.4520i) q^{29} +(-20.5052 - 38.7703i) q^{30} +(14.0094 + 16.6957i) q^{31} +(-17.9954 + 26.4607i) q^{32} +(20.3604 - 52.2691i) q^{33} +(15.3777 - 25.7515i) q^{34} +(26.3567 + 15.2170i) q^{35} +(29.2175 - 21.0318i) q^{36} +(5.57476 + 9.65577i) q^{37} +(0.0115035 - 0.781080i) q^{38} +(25.0698 - 41.2611i) q^{39} +(-7.60128 - 57.9823i) q^{40} +(-56.8435 - 20.6894i) q^{41} +(-9.40894 + 23.1411i) q^{42} +(-24.4766 - 4.31589i) q^{43} +(49.7423 - 55.8540i) q^{44} +(-14.3118 + 64.2127i) q^{45} +(-11.8041 + 31.0032i) q^{46} +(14.6599 - 17.4709i) q^{47} +(46.2893 - 12.7002i) q^{48} +(5.49867 + 31.1845i) q^{49} +(43.0193 + 37.1907i) q^{50} +(-42.6109 + 14.4376i) q^{51} +(50.5102 - 39.9084i) q^{52} +51.2309 q^{53} +(-53.8191 - 4.41622i) q^{54} +136.680i q^{55} +(-22.5158 + 24.5447i) q^{56} +(-0.773085 + 0.880529i) q^{57} +(-59.5073 - 51.4447i) q^{58} +(-82.3895 + 14.5275i) q^{59} +(-47.7359 + 73.5913i) q^{60} +(19.0252 + 15.9640i) q^{61} +(15.5101 - 40.7367i) q^{62} +(33.2569 - 17.2646i) q^{63} +(63.7503 + 5.64767i) q^{64} +(-20.4279 + 115.852i) q^{65} +(-111.131 + 15.3690i) q^{66} +(17.9869 - 49.4186i) q^{67} +(-59.9611 - 1.76656i) q^{68} +(43.6407 - 23.9100i) q^{69} +(0.896351 - 60.8616i) q^{70} +(-75.5843 + 43.6386i) q^{71} +(-65.2030 - 30.5380i) q^{72} +(17.8942 - 30.9937i) q^{73} +(11.4327 - 19.1453i) q^{74} +(-12.9284 - 84.3145i) q^{75} +(-1.37543 + 0.740981i) q^{76} +(59.6359 - 50.0405i) q^{77} +(-96.4939 - 3.58242i) q^{78} +(3.59582 + 9.87943i) q^{79} +(-93.8648 + 69.7734i) q^{80} +(57.1459 + 57.4051i) q^{81} +(19.2517 + 119.442i) q^{82} +(-34.4827 - 94.7405i) q^{83} +(49.5859 - 6.11478i) q^{84} +(83.9766 - 70.4647i) q^{85} +(16.3116 + 46.9559i) q^{86} +(17.8835 + 116.630i) q^{87} +(-146.022 - 32.4561i) q^{88} +(-7.29925 + 12.6427i) q^{89} +(126.098 - 37.5710i) q^{90} +(58.0273 - 33.5021i) q^{91} +(65.6516 - 9.59210i) q^{92} +(-57.3419 + 31.4166i) q^{93} +(-44.7989 - 8.58133i) q^{94} +(0.976496 - 2.68290i) q^{95} +(-67.2858 - 68.4735i) q^{96} +(-1.45511 + 8.25233i) q^{97} +(49.1087 - 39.9897i) q^{98} +(141.827 + 90.5793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.974385 1.74659i −0.487193 0.873295i
\(3\) −0.586935 + 2.94202i −0.195645 + 0.980675i
\(4\) −2.10115 + 3.40370i −0.525287 + 0.850925i
\(5\) −1.26933 7.19876i −0.253867 1.43975i −0.798964 0.601378i \(-0.794618\pi\)
0.545097 0.838373i \(-0.316493\pi\)
\(6\) 5.71041 1.84153i 0.951735 0.306922i
\(7\) −2.67622 + 3.18940i −0.382317 + 0.455628i −0.922544 0.385891i \(-0.873894\pi\)
0.540227 + 0.841519i \(0.318338\pi\)
\(8\) 7.99219 + 0.353324i 0.999024 + 0.0441655i
\(9\) −8.31101 3.45355i −0.923446 0.383728i
\(10\) −11.3364 + 9.23137i −1.13364 + 0.923137i
\(11\) −18.4141 3.24691i −1.67401 0.295173i −0.745508 0.666497i \(-0.767793\pi\)
−0.928504 + 0.371323i \(0.878904\pi\)
\(12\) −8.78054 8.17938i −0.731711 0.681615i
\(13\) −15.1228 5.50426i −1.16330 0.423405i −0.313022 0.949746i \(-0.601341\pi\)
−0.850274 + 0.526341i \(0.823564\pi\)
\(14\) 8.17823 + 1.56656i 0.584160 + 0.111897i
\(15\) 21.9239 + 0.490788i 1.46160 + 0.0327192i
\(16\) −7.17036 14.3034i −0.448148 0.893960i
\(17\) 7.49839 + 12.9876i 0.441082 + 0.763976i 0.997770 0.0667452i \(-0.0212615\pi\)
−0.556688 + 0.830722i \(0.687928\pi\)
\(18\) 2.06619 + 17.8810i 0.114788 + 0.993390i
\(19\) 0.338254 + 0.195291i 0.0178029 + 0.0102785i 0.508875 0.860840i \(-0.330062\pi\)
−0.491072 + 0.871119i \(0.663395\pi\)
\(20\) 27.1695 + 10.8052i 1.35847 + 0.540260i
\(21\) −7.81251 9.74547i −0.372024 0.464070i
\(22\) 12.2714 + 35.3257i 0.557793 + 1.60571i
\(23\) −10.6620 12.7065i −0.463566 0.552456i 0.482725 0.875772i \(-0.339647\pi\)
−0.946291 + 0.323316i \(0.895202\pi\)
\(24\) −5.73039 + 23.3059i −0.238766 + 0.971077i
\(25\) −26.7186 + 9.72476i −1.06874 + 0.388990i
\(26\) 5.12179 + 31.7767i 0.196992 + 1.22218i
\(27\) 15.0385 22.4242i 0.556980 0.830526i
\(28\) −5.23262 15.8104i −0.186879 0.564659i
\(29\) 36.9589 13.4520i 1.27445 0.463861i 0.385855 0.922560i \(-0.373907\pi\)
0.888592 + 0.458699i \(0.151684\pi\)
\(30\) −20.5052 38.7703i −0.683505 1.29234i
\(31\) 14.0094 + 16.6957i 0.451916 + 0.538572i 0.943111 0.332477i \(-0.107884\pi\)
−0.491196 + 0.871049i \(0.663440\pi\)
\(32\) −17.9954 + 26.4607i −0.562356 + 0.826895i
\(33\) 20.3604 52.2691i 0.616981 1.58391i
\(34\) 15.3777 25.7515i 0.452285 0.757398i
\(35\) 26.3567 + 15.2170i 0.753049 + 0.434773i
\(36\) 29.2175 21.0318i 0.811598 0.584216i
\(37\) 5.57476 + 9.65577i 0.150669 + 0.260967i 0.931474 0.363809i \(-0.118524\pi\)
−0.780804 + 0.624776i \(0.785190\pi\)
\(38\) 0.0115035 0.781080i 0.000302724 0.0205547i
\(39\) 25.0698 41.2611i 0.642815 1.05798i
\(40\) −7.60128 57.9823i −0.190032 1.44956i
\(41\) −56.8435 20.6894i −1.38643 0.504618i −0.462307 0.886720i \(-0.652978\pi\)
−0.924120 + 0.382101i \(0.875200\pi\)
\(42\) −9.40894 + 23.1411i −0.224022 + 0.550978i
\(43\) −24.4766 4.31589i −0.569224 0.100369i −0.118374 0.992969i \(-0.537768\pi\)
−0.450850 + 0.892600i \(0.648879\pi\)
\(44\) 49.7423 55.8540i 1.13051 1.26941i
\(45\) −14.3118 + 64.2127i −0.318041 + 1.42695i
\(46\) −11.8041 + 31.0032i −0.256611 + 0.673982i
\(47\) 14.6599 17.4709i 0.311912 0.371722i −0.587199 0.809442i \(-0.699769\pi\)
0.899111 + 0.437720i \(0.144214\pi\)
\(48\) 46.2893 12.7002i 0.964361 0.264588i
\(49\) 5.49867 + 31.1845i 0.112218 + 0.636419i
\(50\) 43.0193 + 37.1907i 0.860387 + 0.743814i
\(51\) −42.6109 + 14.4376i −0.835508 + 0.283090i
\(52\) 50.5102 39.9084i 0.971350 0.767469i
\(53\) 51.2309 0.966621 0.483310 0.875449i \(-0.339434\pi\)
0.483310 + 0.875449i \(0.339434\pi\)
\(54\) −53.8191 4.41622i −0.996650 0.0817818i
\(55\) 136.680i 2.48510i
\(56\) −22.5158 + 24.5447i −0.402067 + 0.438298i
\(57\) −0.773085 + 0.880529i −0.0135629 + 0.0154479i
\(58\) −59.5073 51.4447i −1.02599 0.886978i
\(59\) −82.3895 + 14.5275i −1.39643 + 0.246229i −0.820676 0.571394i \(-0.806403\pi\)
−0.575755 + 0.817622i \(0.695292\pi\)
\(60\) −47.7359 + 73.5913i −0.795598 + 1.22652i
\(61\) 19.0252 + 15.9640i 0.311888 + 0.261705i 0.785272 0.619151i \(-0.212523\pi\)
−0.473384 + 0.880856i \(0.656968\pi\)
\(62\) 15.5101 40.7367i 0.250162 0.657044i
\(63\) 33.2569 17.2646i 0.527887 0.274042i
\(64\) 63.7503 + 5.64767i 0.996099 + 0.0882448i
\(65\) −20.4279 + 115.852i −0.314275 + 1.78234i
\(66\) −111.131 + 15.3690i −1.68381 + 0.232864i
\(67\) 17.9869 49.4186i 0.268461 0.737592i −0.730068 0.683375i \(-0.760512\pi\)
0.998529 0.0542169i \(-0.0172663\pi\)
\(68\) −59.9611 1.76656i −0.881781 0.0259789i
\(69\) 43.6407 23.9100i 0.632474 0.346522i
\(70\) 0.896351 60.8616i 0.0128050 0.869451i
\(71\) −75.5843 + 43.6386i −1.06457 + 0.614628i −0.926692 0.375821i \(-0.877361\pi\)
−0.137875 + 0.990450i \(0.544027\pi\)
\(72\) −65.2030 30.5380i −0.905597 0.424138i
\(73\) 17.8942 30.9937i 0.245127 0.424572i −0.717041 0.697031i \(-0.754504\pi\)
0.962167 + 0.272460i \(0.0878372\pi\)
\(74\) 11.4327 19.1453i 0.154496 0.258720i
\(75\) −12.9284 84.3145i −0.172379 1.12419i
\(76\) −1.37543 + 0.740981i −0.0180978 + 0.00974975i
\(77\) 59.6359 50.0405i 0.774493 0.649877i
\(78\) −96.4939 3.58242i −1.23710 0.0459284i
\(79\) 3.59582 + 9.87943i 0.0455167 + 0.125056i 0.960368 0.278734i \(-0.0899148\pi\)
−0.914852 + 0.403790i \(0.867693\pi\)
\(80\) −93.8648 + 69.7734i −1.17331 + 0.872168i
\(81\) 57.1459 + 57.4051i 0.705505 + 0.708705i
\(82\) 19.2517 + 119.442i 0.234777 + 1.45661i
\(83\) −34.4827 94.7405i −0.415455 1.14145i −0.954249 0.299015i \(-0.903342\pi\)
0.538794 0.842438i \(1.68112\pi\)
\(84\) 49.5859 6.11478i 0.590309 0.0727950i
\(85\) 83.9766 70.4647i 0.987960 0.828997i
\(86\) 16.3116 + 46.9559i 0.189669 + 0.545999i
\(87\) 17.8835 + 116.630i 0.205557 + 1.34057i
\(88\) −146.022 32.4561i −1.65934 0.368819i
\(89\) −7.29925 + 12.6427i −0.0820141 + 0.142053i −0.904115 0.427289i \(-0.859469\pi\)
0.822101 + 0.569342i \(0.192802\pi\)
\(90\) 126.098 37.5710i 1.40109 0.417456i
\(91\) 58.0273 33.5021i 0.637663 0.368155i
\(92\) 65.6516 9.59210i 0.713604 0.104262i
\(93\) −57.3419 + 31.4166i −0.616579 + 0.337813i
\(94\) −44.7989 8.58133i −0.476584 0.0912907i
\(95\) 0.976496 2.68290i 0.0102789 0.0282411i
\(96\) −67.2858 68.4735i −0.700893 0.713266i
\(97\) −1.45511 + 8.25233i −0.0150011 + 0.0850755i −0.991389 0.130948i \(-0.958198\pi\)
0.976388 + 0.216024i \(0.0693089\pi\)
\(98\) 49.1087 39.9897i 0.501109 0.408058i
\(99\) 141.827 + 90.5793i 1.43259 + 0.914942i
\(100\) 23.0394 111.375i 0.230394 1.11375i
\(101\) −110.882 93.0413i −1.09784 0.921201i −0.100567 0.994930i \(-0.532066\pi\)
−0.997278 + 0.0737291i \(0.976510\pi\)
\(102\) 66.7360 + 60.3560i 0.654274 + 0.591725i
\(103\) 3.58880 0.632802i 0.0348427 0.00614371i −0.156200 0.987726i \(-0.549924\pi\)
0.191042 + 0.981582i \(0.438813\pi\)
\(104\) −118.920 49.3344i −1.14346 0.474369i
\(105\) −60.2386 + 68.6106i −0.573701 + 0.653435i
\(106\) −49.9186 89.4793i −0.470931 0.844145i
\(107\) 118.520i 1.10766i −0.832629 0.553831i \(-0.813165\pi\)
0.832629 0.553831i \(-0.186835\pi\)
\(108\) 44.7272 + 98.3030i 0.414141 + 0.910213i
\(109\) −209.035 −1.91775 −0.958874 0.283830i \(-0.908395\pi\)
−0.958874 + 0.283830i \(0.908395\pi\)
\(110\) 238.724 133.179i 2.17022 1.21072i
\(111\) −31.6795 + 10.7338i −0.285401 + 0.0967007i
\(112\) 64.8085 + 15.4098i 0.578648 + 0.137588i
\(113\) −19.3433 109.701i −0.171180 0.970810i −0.942461 0.334315i \(-0.891495\pi\)
0.771281 0.636494i \(-0.219616\pi\)
\(114\) 2.29121 + 0.492287i 0.0200983 + 0.00431831i
\(115\) −77.9373 + 92.8820i −0.677715 + 0.807670i
\(116\) −31.8697 + 154.062i −0.274739 + 1.32812i
\(117\) 106.677 + 97.9736i 0.911768 + 0.837381i
\(118\) 105.653 + 129.745i 0.895361 + 1.09954i
\(119\) −61.4899 10.8423i −0.516722 0.0911121i
\(120\) 175.047 + 11.6687i 1.45872 + 0.0972394i
\(121\) 214.835 + 78.1935i 1.77549 + 0.646227i
\(122\) 9.34474 48.7843i 0.0765962 0.399871i
\(123\) 94.2320 155.092i 0.766114 1.26091i
\(124\) −86.2631 + 12.6036i −0.695670 + 0.101642i
\(125\) 12.5484 + 21.7345i 0.100387 + 0.173876i
\(126\) −62.5592 41.2637i −0.496502 0.327489i
\(127\) −9.25406 5.34284i −0.0728666 0.0420696i 0.463124 0.886293i \(-0.346728\pi\)
−0.535991 + 0.844224i \(0.680062\pi\)
\(128\) −52.2532 116.849i −0.408228 0.912880i
\(129\) 27.0636 69.4777i 0.209796 0.538586i
\(130\) 222.251 77.2057i 1.70962 0.593890i
\(131\) 41.0569 + 48.9297i 0.313411 + 0.373509i 0.899637 0.436639i \(-0.143831\pi\)
−0.586226 + 0.810148i \(0.699387\pi\)
\(132\) 135.128 + 179.126i 1.02370 + 1.35701i
\(133\) −1.52810 + 0.556184i −0.0114895 + 0.00418184i
\(134\) −103.840 + 16.7370i −0.774927 + 0.124903i
\(135\) −180.515 79.7944i −1.33715 0.591070i
\(136\) 55.3398 + 106.449i 0.406910 + 0.782712i
\(137\) −179.780 + 65.4345i −1.31226 + 0.477624i −0.900971 0.433880i \(-0.857144\pi\)
−0.411291 + 0.911504i \(0.634922\pi\)
\(138\) −84.2838 52.9248i −0.610753 0.383513i
\(139\) 89.1108 + 106.198i 0.641085 + 0.764015i 0.984541 0.175153i \(-0.0560421\pi\)
−0.343456 + 0.939169i \(0.611598\pi\)
\(140\) −107.174 + 57.7371i −0.765526 + 0.412408i
\(141\) 42.7956 + 53.3840i 0.303515 + 0.378610i
\(142\) 149.867 + 89.4939i 1.05540 + 0.630239i
\(143\) 260.602 + 150.459i 1.82239 + 1.05216i
\(144\) 10.1956 + 143.639i 0.0708027 + 0.997490i
\(145\) −143.751 248.983i −0.991384 1.71713i
\(146\) −71.5692 1.05405i −0.490200 0.00721951i
\(147\) −94.9730 2.12606i −0.646075 0.0144630i
\(148\) −44.5788 1.31337i −0.301208 0.00887412i
\(149\) 56.2932 + 20.4890i 0.377806 + 0.137510i 0.523941 0.851754i \(-0.324461\pi\)
−0.146135 + 0.989265i \(0.546683\pi\)
\(150\) −134.665 + 104.735i −0.897770 + 0.698236i
\(151\) −69.7855 12.3051i −0.462156 0.0814905i −0.0622775 0.998059i \(-0.519836\pi\)
−0.399878 + 0.916568i \(0.630948\pi\)
\(152\) 2.63439 + 1.68032i 0.0173315 + 0.0110547i
\(153\) −17.4659 133.836i −0.114156 0.874747i
\(154\) −145.509 55.4008i −0.944861 0.359745i
\(155\) 102.406 122.043i 0.660683 0.787372i
\(156\) 87.7652 + 172.026i 0.562597 + 1.10273i
\(157\) −11.9033 67.5070i −0.0758172 0.429981i −0.998963 0.0455306i \(-0.985502\pi\)
0.923146 0.384450i \(-0.125609\pi\)
\(158\) 13.7516 15.9068i 0.0870354 0.100676i
\(159\) −30.0692 + 150.723i −0.189115 + 0.947941i
\(160\) 213.326 + 95.9569i 1.33329 + 0.599731i
\(161\) 69.0599 0.428944
\(162\) 44.5809 155.745i 0.275191 0.961390i
\(163\) 166.784i 1.02321i −0.859220 0.511606i \(-0.829051\pi\)
0.859220 0.511606i \(-0.170949\pi\)
\(164\) 189.857 150.007i 1.15766 0.914677i
\(165\) −402.117 80.2224i −2.43707 0.486196i
\(166\) −131.873 + 152.541i −0.794418 + 0.918921i
\(167\) 77.6761 13.6964i 0.465126 0.0820143i 0.0638264 0.997961i \(-0.479670\pi\)
0.401300 + 0.915947i \(0.368559\pi\)
\(168\) −58.9958 80.6481i −0.351165 0.480048i
\(169\) 68.9419 + 57.8491i 0.407940 + 0.342302i
\(170\) −204.898 78.0128i −1.20529 0.458899i
\(171\) −2.13679 2.79125i −0.0124958 0.0163231i
\(172\) 66.1190 74.2428i 0.384413 0.431644i
\(173\) −14.3748 + 81.5234i −0.0830912 + 0.471233i 0.914661 + 0.404222i \(0.132458\pi\)
−0.997752 + 0.0670117i \(0.978654\pi\)
\(174\) 186.278 144.877i 1.07057 0.832628i
\(175\) 40.4887 111.242i 0.231364 0.635667i
\(176\) 85.5943 + 286.665i 0.486331 + 1.62878i
\(177\) 5.61704 250.918i 0.0317347 1.41762i
\(178\) 29.1939 + 0.429958i 0.164010 + 0.00241550i
\(179\) −46.3255 + 26.7460i −0.258801 + 0.149419i −0.623788 0.781594i \(-0.714407\pi\)
0.364986 + 0.931013i \(0.381074\pi\)
\(180\) −188.490 183.633i −1.04716 1.02019i
\(181\) 32.4491 56.2035i 0.179277 0.310516i −0.762356 0.647158i \(-0.775958\pi\)
0.941633 + 0.336641i \(0.109291\pi\)
\(182\) −115.055 68.7060i −0.632172 0.377505i
\(183\) −58.1331 + 46.6027i −0.317667 + 0.254660i
\(184\) −80.7234 105.320i −0.438714 0.572391i
\(185\) 62.4333 52.3878i 0.337477 0.283177i
\(186\) 110.745 + 69.5408i 0.595403 + 0.373875i
\(187\) −95.9068 263.502i −0.512871 1.40910i
\(188\) 28.6634 + 86.6068i 0.152465 + 0.460675i
\(189\) 31.2734 + 107.976i 0.165468 + 0.571300i
\(190\) −5.63741 + 0.908641i −0.0296706 + 0.00478232i
\(191\) 72.7756 + 199.949i 0.381024 + 1.04685i 0.970926 + 0.239380i \(0.0769442\pi\)
−0.589902 + 0.807475i \(0.700834\pi\)
\(192\) −54.0329 + 184.240i −0.281421 + 0.959584i
\(193\) −11.4584 + 9.61478i −0.0593702 + 0.0498175i −0.671990 0.740560i \(-0.734560\pi\)
0.612620 + 0.790378i \(0.290116\pi\)
\(194\) 15.8313 5.49947i 0.0816044 0.0283478i
\(195\) −328.851 128.097i −1.68641 0.656909i
\(196\) −117.696 46.8074i −0.600492 0.238813i
\(197\) −34.4522 + 59.6729i −0.174884 + 0.302908i −0.940121 0.340840i \(-0.889288\pi\)
0.765237 + 0.643749i \(0.222622\pi\)
\(198\) 20.0109 335.972i 0.101065 1.69683i
\(199\) 47.7506 27.5688i 0.239953 0.138537i −0.375202 0.926943i \(-0.622427\pi\)
0.615155 + 0.788406i \(0.289093\pi\)
\(200\) −216.976 + 68.2819i −1.08488 + 0.341409i
\(201\) 134.834 + 81.9235i 0.670814 + 0.407579i
\(202\) −54.4629 + 284.324i −0.269618 + 1.40754i
\(203\) −56.0067 + 153.877i −0.275895 + 0.758015i
\(204\) 40.3906 175.370i 0.197993 0.859658i
\(205\) −76.7841 + 435.464i −0.374557 + 2.12422i
\(206\) −4.60212 5.65156i −0.0223404 0.0274348i
\(207\) 44.7296 + 142.426i 0.216085 + 0.688047i
\(208\) 29.7068 + 255.775i 0.142821 + 1.22969i
\(209\) −5.59457 4.69440i −0.0267683 0.0224612i
\(210\) 178.530 + 38.3589i 0.850144 + 0.182661i
\(211\) −162.329 + 28.6229i −0.769331 + 0.135654i −0.544519 0.838748i \(-0.683288\pi\)
−0.224812 + 0.974402i \(0.572177\pi\)
\(212\) −107.644 + 174.375i −0.507753 + 0.822522i
\(213\) −84.0228 247.984i −0.394473 1.16424i
\(214\) −207.006 + 115.484i −0.967316 + 0.539645i
\(215\) 181.680i 0.845021i
\(216\) 128.113 173.905i 0.593117 0.805116i
\(217\) −90.7415 −0.418164
\(218\) 203.680 + 365.098i 0.934313 + 1.67476i
\(219\) 80.6815 + 70.8366i 0.368409 + 0.323455i
\(220\) −465.219 287.185i −2.11463 1.30539i
\(221\) −41.9098 237.683i −0.189637 1.07549i
\(222\) 49.6156 + 44.8723i 0.223494 + 0.202127i
\(223\) 245.531 292.613i 1.10104 1.31217i 0.155071 0.987903i \(-0.450439\pi\)
0.945967 0.324262i \(-0.105116\pi\)
\(224\) −36.2339 128.209i −0.161758 0.572361i
\(225\) 255.643 + 11.4514i 1.13619 + 0.0508950i
\(226\) −172.756 + 140.676i −0.764405 + 0.622462i
\(227\) 157.728 + 27.8117i 0.694838 + 0.122519i 0.509903 0.860232i \(-0.329681\pi\)
0.184935 + 0.982751i \(0.440792\pi\)
\(228\) −1.37269 4.48147i −0.00602059 0.0196556i
\(229\) 219.275 + 79.8096i 0.957533 + 0.348513i 0.773066 0.634325i \(-0.218722\pi\)
0.184466 + 0.982839i \(0.440944\pi\)
\(230\) 238.168 + 45.6215i 1.03551 + 0.198354i
\(231\) 112.218 + 204.821i 0.485792 + 0.886671i
\(232\) 300.136 94.4522i 1.29369 0.407121i
\(233\) 213.934 + 370.545i 0.918172 + 1.59032i 0.802190 + 0.597069i \(0.203668\pi\)
0.115982 + 0.993251i \(0.462998\pi\)
\(234\) 67.1752 281.785i 0.287073 1.20421i
\(235\) −144.377 83.3563i −0.614372 0.354708i
\(236\) 123.665 310.953i 0.524005 1.31760i
\(237\) −31.1760 + 4.78040i −0.131544 + 0.0201705i
\(238\) 40.9778 + 117.962i 0.172176 + 0.495640i
\(239\) −29.7397 35.4424i −0.124434 0.148295i 0.700231 0.713917i \(-0.253081\pi\)
−0.824665 + 0.565622i \(0.808636\pi\)
\(240\) −150.183 317.105i −0.625761 1.32127i
\(241\) −240.056 + 87.3733i −0.996083 + 0.362545i −0.788073 0.615582i \(-0.788921\pi\)
−0.208010 + 0.978127i \(0.566699\pi\)
\(242\) −72.7600 451.419i −0.300661 1.86537i
\(243\) −202.428 + 134.432i −0.833037 + 0.553217i
\(244\) −94.3115 + 31.2133i −0.386523 + 0.127923i
\(245\) 217.510 79.1672i 0.887797 0.323132i
\(246\) −362.700 13.4655i −1.47439 0.0547380i
\(247\) −4.04043 4.81520i −0.0163580 0.0194947i
\(248\) 106.067 + 138.385i 0.427688 + 0.558006i
\(249\) 298.968 45.8425i 1.20068 0.184106i
\(250\) 25.7342 43.0946i 0.102937 0.172378i
\(251\) −411.736 237.716i −1.64038 0.947076i −0.980697 0.195535i \(-0.937356\pi\)
−0.659687 0.751541i \(1.27069\pi\)
\(252\) −11.1139 + 149.472i −0.0441027 + 0.593143i
\(253\) 155.075 + 268.598i 0.612944 + 1.06165i
\(254\) −0.314716 + 21.3690i −0.00123904 + 0.0841300i
\(255\) 158.020 + 288.419i 0.619687 + 1.13106i
\(256\) −153.172 + 205.120i −0.598327 + 0.801252i
\(257\) −43.3069 15.7624i −0.168509 0.0613323i 0.256388 0.966574i \(-0.417468\pi\)
−0.424897 + 0.905242i \(0.639690\pi\)
\(258\) −147.719 + 20.4290i −0.572556 + 0.0791820i
\(259\) −45.7154 8.06085i −0.176507 0.0311230i
\(260\) −351.405 312.953i −1.35156 1.20367i
\(261\) −353.623 15.8403i −1.35488 0.0606909i
\(262\) 45.4549 119.386i 0.173492 0.455671i
\(263\) −102.839 + 122.559i −0.391025 + 0.466005i −0.925261 0.379330i \(-0.876155\pi\)
0.534237 + 0.845335i \(0.320599\pi\)
\(264\) 181.192 410.551i 0.686333 1.55512i
\(265\) −65.0292 368.799i −0.245393 1.39169i
\(266\) 2.46039 + 2.12703i 0.00924958 + 0.00799636i
\(267\) −32.9109 28.8950i −0.123262 0.108221i
\(268\) 130.413 + 165.058i 0.486616 + 0.615888i
\(269\) 408.125 1.51719 0.758597 0.651560i \(-0.225885\pi\)
0.758597 + 0.651560i \(0.225885\pi\)
\(270\) 36.5232 + 393.036i 0.135271 + 1.45569i
\(271\) 9.23489i 0.0340771i −0.999855 0.0170385i \(-0.994576\pi\)
0.999855 0.0170385i \(-0.00542380\pi\)
\(272\) 132.000 200.378i 0.485294 0.736684i
\(273\) 64.5057 + 190.381i 0.236285 + 0.697368i
\(274\) 289.462 + 250.243i 1.05643 + 0.913296i
\(275\) 523.574 92.3203i 1.90391 0.335710i
\(276\) −10.3130 + 198.778i −0.0373660 + 0.720212i
\(277\) 59.9164 + 50.2758i 0.216305 + 0.181501i 0.744502 0.667621i \(-0.232687\pi\)
−0.528197 + 0.849122i \(0.677132\pi\)
\(278\) 98.6563 259.118i 0.354879 0.932079i
\(279\) −58.7726 187.141i −0.210654 0.670755i
\(280\) 205.271 + 130.930i 0.733112 + 0.467607i
\(281\) −84.5660 + 479.598i −0.300947 + 1.70675i 0.341049 + 0.940046i \(0.389218\pi\)
−0.641996 + 0.766708i \(0.721893\pi\)
\(282\) 51.5405 126.763i 0.182768 0.449514i
\(283\) 72.9296 200.373i 0.257702 0.708030i −0.741606 0.670836i \(-0.765936\pi\)
0.999308 0.0371946i \(-0.0118421\pi\)
\(284\) 10.2809 348.958i 0.0362004 1.22872i
\(285\) 7.32002 + 4.44756i 0.0256843 + 0.0156055i
\(286\) 8.86268 601.769i 0.0309884 2.10409i
\(287\) 218.112 125.927i 0.759973 0.438771i
\(288\) 240.943 157.767i 0.836608 0.547802i
\(289\) 32.0482 55.5091i 0.110893 0.192073i
\(290\) −294.803 + 493.679i −1.01656 + 1.70234i
\(291\) −23.4245 9.12454i −0.0804965 0.0313558i
\(292\) 67.8950 + 126.029i 0.232517 + 0.431606i
\(293\) −125.729 + 105.500i −0.429111 + 0.360067i −0.831616 0.555351i \(-0.812584\pi\)
0.402505 + 0.915418i \(0.368139\pi\)
\(294\) 88.8269 + 167.950i 0.302132 + 0.571260i
\(295\) 209.160 + 574.661i 0.709016 + 1.94800i
\(296\) 41.1430 + 79.1405i 0.138996 + 0.267367i
\(297\) −349.730 + 364.093i −1.17754 + 1.22590i
\(298\) −19.0653 118.285i −0.0639775 0.396930i
\(299\) 91.3000 + 250.845i 0.305351 + 0.838946i
\(300\) 314.146 + 133.153i 1.04715 + 0.443842i
\(301\) 79.2699 66.5153i 0.263355 0.220981i
\(302\) 46.5061 + 133.876i 0.153994 + 0.443299i
\(303\) 338.811 271.609i 1.11819 0.896400i
\(304\) 0.367913 6.23848i 0.00121024 0.0205213i
\(305\) 90.7718 157.221i 0.297613 0.515480i
\(306\) −216.738 + 160.914i −0.708295 + 0.525862i
\(307\) 277.852 160.418i 0.905056 0.522534i 0.0262186 0.999656i \(-0.491653\pi\)
0.878837 + 0.477122i \(0.158320\pi\)
\(308\) 45.0190 + 308.125i 0.146166 + 1.00041i
\(309\) −0.244673 + 10.9297i −0.000791821 + 0.0353713i
\(310\) −312.941 59.9445i −1.00949 0.193369i
\(311\) 141.775 389.525i 0.455870 1.25249i −0.472664 0.881243i \(-0.656708\pi\)
0.928533 0.371249i \(-0.121070\pi\)
\(312\) 214.941 320.909i 0.688914 1.02855i
\(313\) 11.8062 66.9560i 0.0377193 0.213917i −0.960123 0.279579i \(-0.909805\pi\)
0.997842 + 0.0656625i \(0.0209161\pi\)
\(314\) −106.309 + 86.5680i −0.338562 + 0.275694i
\(315\) −166.498 217.493i −0.528565 0.690455i
\(316\) −41.1820 8.51904i −0.130323 0.0269590i
\(317\) −423.973 355.755i −1.33745 1.12226i −0.982273 0.187458i \(-0.939975\pi\)
−0.355180 0.934798i \(-0.615581\pi\)
\(318\) 292.549 94.3433i 0.919967 0.296677i
\(319\) −724.244 + 127.704i −2.27036 + 0.400325i
\(320\) −40.2643 466.092i −0.125826 1.45654i
\(321\) 348.688 + 69.5635i 1.08626 + 0.216709i
\(322\) −67.2910 120.619i −0.208978 0.374594i
\(323\) 5.85748i 0.0181346i
\(324\) −315.462 + 73.8912i −0.973647 + 0.228059i
\(325\) 457.588 1.40796
\(326\) −291.302 + 162.511i −0.893565 + 0.498501i
\(327\) 122.690 614.985i 0.375198 1.88069i
\(328\) −446.994 185.438i −1.36279 0.565358i
\(329\) 16.4887 + 93.5122i 0.0501177 + 0.284232i
\(330\) 251.701 + 780.500i 0.762730 + 2.36515i
\(331\) −253.344 + 301.924i −0.765390 + 0.912157i −0.998176 0.0603714i \(-0.980771\pi\)
0.232786 + 0.972528i \(0.425216\pi\)
\(332\) 394.922 + 81.6949i 1.18952 + 0.246069i
\(333\) −12.9852 99.5020i −0.0389946 0.298805i
\(334\) −99.6084 122.323i −0.298229 0.366235i
\(335\) −378.584 66.7546i −1.13010 0.199267i
\(336\) −83.3744 + 181.624i −0.248138 + 0.540547i
\(337\) −495.696 180.418i −1.47091 0.535366i −0.522560 0.852602i \(-0.675023\pi\)
−0.948347 + 0.317236i \(0.897245\pi\)
\(338\) 33.8627 176.780i 0.100185 0.523019i
\(339\) 334.098 + 7.47909i 0.985539 + 0.0220622i
\(340\) 63.3937 + 433.888i 0.186452 + 1.27614i
\(341\) −203.761 352.925i −0.597540 1.03497i
\(342\) −2.79311 + 6.45184i −0.00816698 + 0.0188650i
\(343\) −290.853 167.924i −0.847968 0.489574i
\(344\) −194.097 43.1416i −0.564235 0.125412i
\(345\) −227.517 283.809i −0.659470 0.822635i
\(346\) 156.394 54.3284i 0.452007 0.157018i
\(347\) 105.358 + 125.560i 0.303624 + 0.361845i 0.896185 0.443681i \(-0.146328\pi\)
−0.592561 + 0.805526i \(0.701883\pi\)
\(348\) −434.548 184.186i −1.24870 0.529269i
\(349\) 111.453 40.5656i 0.319350 0.116234i −0.177371 0.984144i \(-0.556759\pi\)
0.496721 + 0.867910i \(0.334537\pi\)
\(350\) −233.745 + 37.6752i −0.667843 + 0.107643i
\(351\) −350.853 + 256.342i −0.999581 + 0.730319i
\(352\) 417.285 428.820i 1.18547 1.21824i
\(353\) 405.217 147.487i 1.14792 0.417810i 0.303154 0.952941i \(-0.401960\pi\)
0.844769 + 0.535132i \(0.179738\pi\)
\(354\) −443.725 + 234.681i −1.25346 + 0.662939i
\(355\) 410.086 + 488.721i 1.15517 + 1.37668i
\(356\) −27.6951 51.4086i −0.0777952 0.144406i
\(357\) 67.9890 174.541i 0.190445 0.488911i
\(358\) 91.8531 + 54.8506i 0.256573 + 0.153214i
\(359\) −276.576 159.681i −0.770407 0.444795i 0.0626127 0.998038i \(-0.480057\pi\)
−0.833020 + 0.553243i \(0.813390\pi\)
\(360\) −137.071 + 508.144i −0.380752 + 1.41151i
\(361\) −180.424 312.503i −0.499789 0.865659i
\(362\) −129.782 1.91139i −0.358514 0.00528009i
\(363\) −356.141 + 586.155i −0.981105 + 1.61475i
\(364\) −7.89283 + 267.901i −0.0216836 + 0.735990i
\(365\) −245.830 89.4748i −0.673507 0.245136i
\(366\) 138.040 + 56.1257i 0.377158 + 0.153349i
\(367\) 605.049 + 106.686i 1.64863 + 0.290699i 0.919329 0.393490i \(-0.128732\pi\)
0.729305 + 0.684188i \(0.239843\pi\)
\(368\) −105.295 + 243.613i −0.286128 + 0.661991i
\(369\) 400.976 + 368.262i 1.08665 + 0.997999i
\(370\) −152.334 57.9995i −0.411713 0.156755i
\(371\) −137.105 + 163.396i −0.369556 + 0.440419i
\(372\) 13.5508 261.186i 0.0364269 0.702112i
\(373\) 104.221 + 591.065i 0.279412 + 1.58462i 0.724589 + 0.689181i \(0.242030\pi\)
−0.445177 + 0.895442i \(0.646859\pi\)
\(374\) −366.779 + 424.262i −0.980693 + 1.13439i
\(375\) −71.3084 + 24.1610i −0.190156 + 0.0644293i
\(376\) 123.337 134.452i 0.328025 0.357584i
\(377\) −632.967 −1.67896
\(378\) 158.117 159.832i 0.418299 0.422835i
\(379\) 14.1542i 0.0373462i 0.999826 + 0.0186731i \(0.00594418\pi\)
−0.999826 + 0.0186731i \(0.994056\pi\)
\(380\) 7.08003 + 8.96087i 0.0186317 + 0.0235812i
\(381\) 21.1503 24.0898i 0.0555126 0.0632278i
\(382\) 278.318 321.937i 0.728581 0.842766i
\(383\) −357.007 + 62.9499i −0.932133 + 0.164360i −0.619037 0.785362i \(-0.712477\pi\)
−0.313095 + 0.949722i \(0.601366\pi\)
\(384\) 374.441 85.1477i 0.975106 0.221739i
\(385\) −435.927 365.786i −1.13228 0.950095i
\(386\) 27.9580 + 10.6447i 0.0724301 + 0.0275769i
\(387\) 188.520 + 120.401i 0.487133 + 0.311113i
\(388\) −25.0311 22.2921i −0.0645130 0.0574539i
\(389\) −67.1581 + 380.873i −0.172643 + 0.979107i 0.768186 + 0.640226i \(0.221159\pi\)
−0.940829 + 0.338881i \(0.889952\pi\)
\(390\) 96.6941 + 699.183i 0.247934 + 1.79278i
\(391\) 85.0789 233.752i 0.217593 0.597832i
\(392\) 32.9282 + 251.176i 0.0840006 + 0.640754i
\(393\) −168.050 + 92.0718i −0.427608 + 0.234279i
\(394\) 137.794 + 2.02938i 0.349730 + 0.00515072i
\(395\) 66.5553 38.4257i 0.168494 0.0972803i
\(396\) −606.304 + 292.415i −1.53107 + 0.738423i
\(397\) 75.4765 130.729i 0.190117 0.329293i −0.755172 0.655527i \(-0.772447\pi\)
0.945289 + 0.326234i \(0.105780\pi\)
\(398\) −94.6789 56.5380i −0.237887 0.142055i
\(399\) −0.739410 4.82216i −0.00185316 0.0120856i
\(400\) 330.679 + 312.435i 0.826696 + 0.781087i
\(401\) −172.496 + 144.741i −0.430164 + 0.360951i −0.832014 0.554755i \(-0.812812\pi\)
0.401850 + 0.915706i \(0.368367\pi\)
\(402\) 11.7067 315.324i 0.0291211 0.784388i
\(403\) −119.964 329.598i −0.297677 0.817862i
\(404\) 549.665 181.917i 1.36056 0.450289i
\(405\) 340.708 484.246i 0.841254 1.19567i
\(406\) 323.332 52.1149i 0.796385 0.128362i
\(407\) −71.3030 195.903i −0.175192 0.481335i
\(408\) −345.656 + 100.332i −0.847195 + 0.245913i
\(409\) −74.9861 + 62.9208i −0.183340 + 0.153841i −0.729839 0.683619i \(-0.760405\pi\)
0.546499 + 0.837460i \(0.315960\pi\)
\(410\) 835.395 290.200i 2.03755 0.707804i
\(411\) −86.9909 567.323i −0.211657 1.38035i
\(412\) −5.38672 + 13.5448i −0.0130746 + 0.0328757i
\(413\) 174.158 301.651i 0.421691 0.730391i
\(414\) 205.175 216.902i 0.495593 0.523917i
\(415\) −638.244 + 368.490i −1.53794 + 0.887928i
\(416\) 417.788 301.109i 1.00430 0.723820i
\(417\) −364.740 + 199.835i −0.874676 + 0.479220i
\(418\) −2.74792 + 14.3456i −0.00657398 + 0.0343195i
\(419\) 18.1404 49.8403i 0.0432945 0.118951i −0.916161 0.400810i \(-0.868729\pi\)
0.959456 + 0.281859i \(0.0909511\pi\)
\(420\) −106.960 349.195i −0.254667 0.831417i
\(421\) 69.5196 394.265i 0.165130 0.936497i −0.783801 0.621012i \(-0.786722\pi\)
0.948931 0.315485i \(-0.102167\pi\)
\(422\) 208.163 + 255.632i 0.493278 + 0.605763i
\(423\) −182.175 + 94.5727i −0.430674 + 0.223576i
\(424\) 409.447 + 18.1011i 0.965678 + 0.0426913i
\(425\) −326.648 274.090i −0.768583 0.644917i
\(426\) −351.255 + 388.385i −0.824543 + 0.911702i
\(427\) −101.831 + 17.9556i −0.238481 + 0.0420506i
\(428\) 403.406 + 249.028i 0.942538 + 0.581841i
\(429\) −595.610 + 678.388i −1.38837 + 1.58132i
\(430\) 317.319 177.026i 0.737952 0.411688i
\(431\) 445.360i 1.03332i 0.856191 + 0.516659i \(0.172825\pi\)
−0.856191 + 0.516659i \(0.827175\pi\)
\(432\) −428.572 54.3108i −0.992066 0.125720i
\(433\) −52.1504 −0.120440 −0.0602199 0.998185i \(-0.519180\pi\)
−0.0602199 + 0.998185i \(0.519180\pi\)
\(434\) 88.4172 + 158.488i 0.203726 + 0.365180i
\(435\) 816.888 276.781i 1.87790 0.636278i
\(436\) 439.212 711.491i 1.00737 1.63186i
\(437\) −1.12501 6.38022i −0.00257438 0.0146001i
\(438\) 45.1075 209.940i 0.102985 0.479314i
\(439\) 307.416 366.365i 0.700265 0.834543i −0.292291 0.956329i \(-0.594418\pi\)
0.992556 + 0.121786i \(0.0388621\pi\)
\(440\) −48.2924 + 1092.37i −0.109756 + 2.48267i
\(441\) 61.9979 278.165i 0.140585 0.630760i
\(442\) −374.297 + 304.794i −0.846827 + 0.689578i
\(443\) −64.2664 11.3319i −0.145071 0.0255799i 0.100641 0.994923i \(-0.467911\pi\)
−0.245712 + 0.969343i \(0.579022\pi\)
\(444\) 30.0288 130.381i 0.0676324 0.293651i
\(445\) 100.277 + 36.4978i 0.225341 + 0.0820174i
\(446\) −750.317 143.725i −1.68232 0.322253i
\(447\) −93.3196 + 153.590i −0.208769 + 0.343602i
\(448\) −188.623 + 188.211i −0.421033 + 0.420113i
\(449\) −107.513 186.218i −0.239450 0.414740i 0.721106 0.692824i \(-0.243634\pi\)
−0.960557 + 0.278084i \(0.910301\pi\)
\(450\) −229.094 457.662i −0.509098 1.01703i
\(451\) 979.548 + 565.542i 2.17195 + 1.25397i
\(452\) 414.034 + 164.660i 0.916005 + 0.364292i
\(453\) 77.1613 198.088i 0.170334 0.437281i
\(454\) −105.112 302.586i −0.231525 0.666489i
\(455\) −314.830 375.199i −0.691933 0.824614i
\(456\) −6.48976 + 6.76421i −0.0142319 + 0.0148338i
\(457\) 731.479 266.237i 1.60061 0.582575i 0.621059 0.783764i \(-0.286703\pi\)
0.979552 + 0.201189i \(0.0644806\pi\)
\(458\) −74.2638 460.749i −0.162148 1.00600i
\(459\) 404.001 + 27.1681i 0.880176 + 0.0591898i
\(460\) −152.385 460.434i −0.331272 1.00094i
\(461\) −41.6290 + 15.1517i −0.0903015 + 0.0328670i −0.386776 0.922174i \(-0.626411\pi\)
0.296474 + 0.955041i \(0.404189\pi\)
\(462\) 248.394 395.573i 0.537650 0.856219i
\(463\) 525.356 + 626.094i 1.13468 + 1.35226i 0.927443 + 0.373964i \(0.122002\pi\)
0.207234 + 0.978291i \(0.433554\pi\)
\(464\) −457.417 432.181i −0.985813 0.931426i
\(465\) 298.947 + 372.912i 0.642896 + 0.801961i
\(466\) 438.735 734.708i 0.941492 1.57663i
\(467\) −392.786 226.775i −0.841084 0.485600i 0.0165487 0.999863i \(-0.494732\pi\)
−0.857632 + 0.514263i \(0.828065\pi\)
\(468\) −557.617 + 157.239i −1.19149 + 0.335982i
\(469\) 109.479 + 189.623i 0.233430 + 0.404313i
\(470\) −4.91005 + 333.389i −0.0104469 + 0.709338i
\(471\) 205.594 + 4.60241i 0.436505 + 0.00977156i
\(472\) −663.605 + 86.9963i −1.40594 + 0.184314i
\(473\) 436.702 + 158.947i 0.923261 + 0.336039i
\(474\) 38.7269 + 49.7938i 0.0817022 + 0.105050i
\(475\) −10.9368 1.92846i −0.0230249 0.00405991i
\(476\) 166.103 186.512i 0.348957 0.391832i
\(477\) −425.781 176.929i −0.892622 0.370920i
\(478\) −32.9254 + 86.4776i −0.0688816 + 0.180916i
\(479\) 394.817 470.525i 0.824253 0.982307i −0.175744 0.984436i \(-0.556233\pi\)
0.999998 + 0.00212887i \(0.000677642\pi\)
\(480\) −407.516 + 571.290i −0.848992 + 1.19019i
\(481\) −31.1583 176.708i −0.0647782 0.367376i
\(482\) 386.512 + 334.144i 0.801893 + 0.693245i
\(483\) −40.5337 + 203.176i −0.0839207 + 0.420654i
\(484\) −717.547 + 566.938i −1.48253 + 1.17136i
\(485\) 61.2535 0.126296
\(486\) 432.040 + 222.570i 0.888971 + 0.457964i
\(487\) 660.590i 1.35645i −0.734856 0.678224i \(-0.762750\pi\)
0.734856 0.678224i \(-0.237250\pi\)
\(488\) 146.413 + 134.310i 0.300026 + 0.275225i
\(489\) 490.681 + 97.8911i 1.00344 + 0.200186i
\(490\) −350.211 302.762i −0.714717 0.617881i
\(491\) −711.257 + 125.414i −1.44859 + 0.255425i −0.841952 0.539553i \(-0.818593\pi\)
−0.606638 + 0.794978i \(0.707482\pi\)
\(492\) 329.891 + 646.608i 0.670509 + 1.31424i
\(493\) 451.841 + 379.140i 0.916514 + 0.769047i
\(494\) −4.47324 + 11.7488i −0.00905514 + 0.0237831i
\(495\) 472.033 1135.95i 0.953601 2.29485i
\(496\) 138.353 320.096i 0.278937 0.645354i
\(497\) 63.0995 357.855i 0.126961 0.720030i
\(498\) −371.378 477.506i −0.745739 0.958848i
\(499\) 79.8454 219.374i 0.160011 0.439626i −0.833616 0.552344i \(-0.813733\pi\)
0.993627 + 0.112718i \(0.0359556\pi\)
\(500\) −100.344 2.95630i −0.200687 0.00591260i
\(501\) −5.29570 + 236.564i −0.0105703 + 0.472183i
\(502\) −14.0025 + 950.761i −0.0278935 + 1.89395i
\(503\) 225.781 130.355i 0.448870 0.259155i −0.258483 0.966016i \(-0.583223\pi\)
0.707353 + 0.706861i \(0.249889\pi\)
\(504\) 271.895 126.232i 0.539475 0.250460i
\(505\) −529.035 + 916.315i −1.04759 + 1.81449i
\(506\) 318.027 532.570i 0.628512 1.05251i
\(507\) −210.658 + 168.875i −0.415499 + 0.333087i
\(508\) 37.6296 20.2720i 0.0740739 0.0399055i
\(509\) 590.919 495.840i 1.16094 0.974145i 0.161022 0.986951i \(-0.448521\pi\)
0.999918 + 0.0128062i \(0.00407646\pi\)
\(510\) 349.778 557.028i 0.685839 1.09221i
\(511\) 50.9623 + 140.018i 0.0997306 + 0.274008i
\(512\) 507.509 + 67.6618i 0.991229 + 0.132152i
\(513\) 9.46607 4.64820i 0.0184524 0.00906082i
\(514\) 14.6671 + 90.9980i 0.0285352 + 0.177039i
\(515\) −9.11078 25.0316i −0.0176908 0.0486051i
\(516\) 179.617 + 238.099i 0.348094 + 0.461433i
\(517\) −326.675 + 274.113i −0.631867 + 0.530199i
\(518\) 30.4654 + 87.7003i 0.0588135 + 0.169306i
\(519\) −231.407 90.1399i −0.445870 0.173680i
\(520\) −204.197 + 918.697i −0.392687 + 1.76673i
\(521\) −213.733 + 370.196i −0.410236 + 0.710550i −0.994915 0.100715i \(-0.967887\pi\)
0.584679 + 0.811264i \(0.301220\pi\)
\(522\) 316.899 + 633.069i 0.607086 + 1.21278i
\(523\) −699.824 + 404.044i −1.33810 + 0.772550i −0.986525 0.163611i \(-0.947686\pi\)
−0.351571 + 0.936161i \(0.614352\pi\)
\(524\) −252.809 + 36.9369i −0.482459 + 0.0704903i
\(525\) 303.512 + 184.410i 0.578117 + 0.351258i
\(526\) 314.266 + 60.1983i 0.597464 + 0.114445i
\(527\) −111.790 + 307.139i −0.212125 + 0.582807i
\(528\) −893.614 + 83.5667i −1.69245 + 0.158270i
\(529\) 44.0835 250.010i 0.0833336 0.472608i
\(530\) −580.777 + 472.931i −1.09580 + 0.892323i
\(531\) 734.911 + 163.798i 1.38401 + 0.308471i
\(532\) 1.31769 6.36983i 0.00247685 0.0119734i
\(533\) 745.756 + 625.764i 1.39917 + 1.17404i
\(534\) −18.3998 + 85.6367i −0.0344566 + 0.160368i
\(535\) −853.196 + 150.441i −1.59476 + 0.281199i
\(536\) 161.216 388.608i 0.300776 0.725015i
\(537\) −51.4974 151.989i −0.0958983 0.283033i
\(538\) −397.671 712.827i −0.739166 1.32496i
\(539\) 592.090i 1.09850i
\(540\) 650.885 446.760i 1.20534 0.827333i
\(541\) −374.121 −0.691535 −0.345768 0.938320i \(-0.612381\pi\)
−0.345768 + 0.938320i \(0.612381\pi\)
\(542\) −16.1296 + 8.99834i −0.0297593 + 0.0166021i
\(543\) 146.306 + 128.454i 0.269441 + 0.236563i
\(544\) −478.597 35.3044i −0.879774 0.0648978i
\(545\) 265.335 + 1504.79i 0.486853 + 2.76108i
\(546\) 269.665 298.170i 0.493891 0.546098i
\(547\) −630.498 + 751.399i −1.15265 + 1.37367i −0.237089 + 0.971488i \(0.576193\pi\)
−0.915559 + 0.402184i \(0.868251\pi\)
\(548\) 155.024 749.405i 0.282891 1.36753i
\(549\) −102.986 198.382i −0.187588 0.361351i
\(550\) −671.409 824.514i −1.22074 1.49912i
\(551\) 15.1286 + 2.66758i 0.0274566 + 0.00484134i
\(552\) 357.233 175.674i 0.647161 0.318250i
\(553\) −41.1326 14.9710i −0.0743808 0.0270724i
\(554\) 29.4296 153.637i 0.0531220 0.277324i
\(555\) 117.482 + 214.429i 0.211679 + 0.386358i
\(556\) −548.702 + 80.1687i −0.986874 + 0.144188i
\(557\) −37.0277 64.1338i −0.0664770 0.115141i 0.830871 0.556465i \(-0.187843\pi\)
−0.897348 + 0.441323i \(0.854509\pi\)
\(558\) −269.591 + 284.999i −0.483137 + 0.510750i
\(559\) 346.400 + 199.994i 0.619678 + 0.357771i
\(560\) 28.6677 486.101i 0.0511923 0.868037i
\(561\) 831.520 127.502i 1.48221 0.227276i
\(562\) 920.060 319.611i 1.63712 0.568703i
\(563\) 394.263 + 469.864i 0.700290 + 0.834573i 0.992559 0.121763i \(-0.0388549\pi\)
−0.292270 + 0.956336i \(0.594410\pi\)
\(564\) −271.623 + 33.4957i −0.481601 + 0.0593895i
\(565\) −765.161 + 278.496i −1.35427 + 0.492913i
\(566\) −421.030 + 67.8619i −0.743869 + 0.119897i
\(567\) −336.023 + 28.6323i −0.592632 + 0.0504979i
\(568\) −619.503 + 322.063i −1.09067 + 0.567012i
\(569\) 128.189 46.6569i 0.225288 0.0819980i −0.226910 0.973916i \(-0.572862\pi\)
0.452198 + 0.891918i \(0.350640\pi\)
\(570\) 0.635547 17.1187i 0.00111499 0.0300328i
\(571\) −28.1385 33.5342i −0.0492794 0.0587289i 0.740842 0.671680i \(-0.234427\pi\)
−0.790121 + 0.612951i \(0.789982\pi\)
\(572\) −1059.68 + 570.876i −1.85259 + 0.998035i
\(573\) −630.970 + 96.7503i −1.10117 + 0.168849i
\(574\) −432.469 258.251i −0.753430 0.449915i
\(575\) 408.441 + 235.814i 0.710333 + 0.410111i
\(576\) −510.325 267.103i −0.885981 0.463721i
\(577\) −73.2045 126.794i −0.126871 0.219747i 0.795592 0.605833i \(-0.207160\pi\)
−0.922463 + 0.386086i \(0.873827\pi\)
\(578\) −128.179 1.88778i −0.221763 0.00326605i
\(579\) −21.5616 39.3543i −0.0372393 0.0679694i
\(580\) 1149.51 + 33.8665i 1.98191 + 0.0583905i
\(581\) 394.448 + 143.567i 0.678913 + 0.247104i
\(582\) 6.88765 + 49.8038i 0.0118345 + 0.0855735i
\(583\) −943.372 166.342i −1.61813 0.285321i
\(584\) 153.965 241.385i 0.263639 0.413331i
\(585\) 569.879 892.302i 0.974152 1.52530i
\(586\) 306.773 + 116.800i 0.523504 + 0.199318i
\(587\) −439.369 + 523.619i −0.748499 + 0.892026i −0.997063 0.0765892i \(-0.975597\pi\)
0.248564 + 0.968616i \(0.420041\pi\)
\(588\) 206.789 318.793i 0.351681 0.542164i
\(589\) 1.47820 + 8.38331i 0.00250969 + 0.0142331i
\(590\) 799.895 925.257i 1.35575 1.56823i
\(591\) −155.338 136.383i −0.262839 0.230767i
\(592\) 98.1368 148.973i 0.165772 0.251644i
\(593\) −339.967 −0.573301 −0.286650 0.958035i \(-0.592542\pi\)
−0.286650 + 0.958035i \(0.592542\pi\)
\(594\) 976.693 + 256.066i 1.64426 + 0.431088i
\(595\) 456.414i 0.767082i
\(596\) −188.019 + 148.555i −0.315468 + 0.249253i
\(597\) 53.0817 + 156.665i 0.0889140 + 0.262420i
\(598\) 349.161 403.883i 0.583882 0.675390i
\(599\) 113.226 19.9649i 0.189026 0.0333303i −0.0783338 0.996927i \(-0.524960\pi\)
0.267359 + 0.963597i \(0.413849\pi\)
\(600\) −73.5362 678.426i −0.122560 1.13071i
\(601\) −41.4690 34.7966i −0.0689999 0.0578978i 0.607635 0.794216i \(-0.292118\pi\)
−0.676635 + 0.736318i \(0.736563\pi\)
\(602\) −193.414 73.6404i −0.321286 0.122326i
\(603\) −320.159 + 348.600i −0.530944 + 0.578110i
\(604\) 188.512 211.674i 0.312106 0.350454i
\(605\) 290.199 1645.80i 0.479667 2.72033i
\(606\) −804.522 327.111i −1.32759 0.539787i
\(607\) 221.274 607.945i 0.364537 1.00156i −0.612869 0.790185i \(-0.709985\pi\)
0.977406 0.211372i \(-0.0677932\pi\)
\(608\) −11.2545 + 5.43609i −0.0185108 + 0.00894094i
\(609\) −419.838 255.089i −0.689389 0.418865i
\(610\) −363.048 5.34686i −0.595161 0.00876535i
\(611\) −317.864 + 183.519i −0.520235 + 0.300358i
\(612\) 492.237 + 221.761i 0.804309 + 0.362354i
\(613\) 107.603 186.374i 0.175535 0.304035i −0.764811 0.644254i \(-0.777168\pi\)
0.940346 + 0.340219i \(0.110501\pi\)
\(614\) −550.919 328.985i −0.897263 0.535805i
\(615\) −1236.08 481.490i −2.00989 0.782911i
\(616\) 494.302 378.863i 0.802439 0.615037i
\(617\) −246.443 + 206.791i −0.399422 + 0.335155i −0.820270 0.571976i \(-0.806177\pi\)
0.420848 + 0.907131i \(0.361733\pi\)
\(618\) 19.3282 10.2224i 0.0312754 0.0165412i
\(619\) 129.813 + 356.659i 0.209715 + 0.576186i 0.999298 0.0374568i \(-0.0119257\pi\)
−0.789584 + 0.613643i \(0.789703\pi\)
\(620\) 200.227 + 604.989i 0.322946 + 0.975788i
\(621\) −445.273 + 48.0009i −0.717026 + 0.0772962i
\(622\) −818.484 + 131.924i −1.31589 + 0.212096i
\(623\) −20.7881 57.1148i −0.0333677 0.0916771i
\(624\) −769.932 62.7250i −1.23387 0.100521i
\(625\) −403.996 + 338.993i −0.646394 + 0.542389i
\(626\) −128.448 + 44.6205i −0.205189 + 0.0712787i
\(627\) 17.0947 13.7040i 0.0272642 0.0218565i
\(628\) 254.784 + 101.327i 0.405707 + 0.161348i
\(629\) −83.6035 + 144.806i −0.132915 + 0.230216i
\(630\) −217.638 + 502.726i −0.345458 + 0.797978i
\(631\) 789.534 455.838i 1.25124 0.722405i 0.279887 0.960033i \(-0.409703\pi\)
0.971356 + 0.237628i \(0.0763698\pi\)
\(632\) 25.2478 + 80.2288i 0.0399491 + 0.126944i
\(633\) 11.0670 494.375i 0.0174835 0.781003i
\(634\) −208.246 + 1087.15i −0.328463 + 1.71475i
\(635\) −26.7153 + 73.3996i −0.0420713 + 0.115590i
\(636\) −449.835 419.037i −0.707287 0.658863i
\(637\) 88.4923 501.865i 0.138920 0.787857i
\(638\) 928.739 + 1140.52i 1.45570 + 1.78766i
\(639\) 778.891 101.647i 1.21892 0.159072i
\(640\) −774.838 + 524.478i −1.21068 + 0.819497i
\(641\) 415.837 + 348.929i 0.648732 + 0.544351i 0.906686 0.421807i \(-0.138604\pi\)
−0.257954 + 0.966157i \(0.583048\pi\)
\(642\) −218.258 676.797i −0.339966 1.05420i
\(643\) 330.645 58.3017i 0.514223 0.0906714i 0.0894857 0.995988i \(-0.471478\pi\)
0.424737 + 0.905317i \(0.360367\pi\)
\(644\) −145.105 + 235.059i −0.225318 + 0.364999i
\(645\) −534.506 106.634i −0.828691 0.165324i
\(646\) 10.2306 5.70744i 0.0158369 0.00883505i
\(647\) 1.27262i 0.00196696i 1.00000 0.000983479i \(0.000313051\pi\)
−1.00000 0.000983479i \(0.999687\pi\)
\(648\) 436.439 + 478.984i 0.673517 + 0.739172i
\(649\) 1564.30 2.41032
\(650\) −445.867 799.219i −0.685950 1.22957i
\(651\) 53.2594 266.964i 0.0818116 0.410083i
\(652\) 567.681 + 350.437i 0.870677 + 0.537480i
\(653\) −67.8083 384.560i −0.103841 0.588913i −0.991677 0.128752i \(-0.958903\pi\)
0.887836 0.460161i \(-0.152208\pi\)
\(654\) −1193.67 + 384.944i −1.82519 + 0.588599i
\(655\) 300.118 357.667i 0.458196 0.546056i
\(656\) 111.662 + 961.403i 0.170216 + 1.46555i
\(657\) −255.758 + 195.791i −0.389281 + 0.298007i
\(658\) 147.261 119.916i 0.223801 0.182243i
\(659\) 226.021 + 39.8536i 0.342975 + 0.0604758i 0.342483 0.939524i \(-0.388732\pi\)
0.000492450 1.00000i \(0.499843\pi\)
\(660\) 1117.96 1200.13i 1.69388 1.81837i
\(661\) 128.136 + 46.6376i 0.193851 + 0.0705561i 0.437121 0.899402i \(-0.355998\pi\)
−0.243270 + 0.969959i \(0.578220\pi\)
\(662\) 774.192 + 148.298i 1.16947 + 0.224015i
\(663\) 723.866 + 16.2044i 1.09180 + 0.0244411i
\(664\) −242.119 769.368i −0.364636 1.15869i
\(665\) 5.94351 + 10.2945i 0.00893761 + 0.0154804i
\(666\) −161.137 + 119.633i −0.241947 + 0.179629i
\(667\) −564.984 326.194i −0.847052 0.489046i
\(668\) −116.590 + 293.164i −0.174537 + 0.438869i
\(669\) 716.763 + 894.104i 1.07140 + 1.33648i
\(670\) 252.294 + 726.276i 0.376558 + 1.08399i
\(671\) −298.499 355.737i −0.444856 0.530159i
\(672\) 398.461 31.3506i 0.592948 0.0466527i
\(673\) −353.816 + 128.779i −0.525730 + 0.191350i −0.591231 0.806502i \(-0.701358\pi\)
0.0655006 + 0.997853i \(0.479136\pi\)
\(674\) 167.882 + 1041.57i 0.249082 + 1.54536i
\(675\) −183.736 + 745.388i −0.272202 + 1.10428i
\(676\) −341.758 + 113.108i −0.505559 + 0.167320i
\(677\) 458.210 166.775i 0.676824 0.246344i 0.0193408 0.999813i \(-0.493843\pi\)
0.657483 + 0.753469i \(0.271621\pi\)
\(678\) −312.477 590.819i −0.460880 0.871414i
\(679\) −22.4257 26.7260i −0.0330276 0.0393608i
\(680\) 696.054 533.497i 1.02361 0.784554i
\(681\) −174.399 + 447.717i −0.256093 + 0.657440i
\(682\) −417.872 + 699.771i −0.612716 + 1.02606i
\(683\) 1052.67 + 607.762i 1.54125 + 0.889842i 0.998760 + 0.0497805i \(0.0158522\pi\)
0.542491 + 0.840061i \(0.317481\pi\)
\(684\) 13.9903 1.40817i 0.0204536 0.00205872i
\(685\) 699.248 + 1211.13i 1.02080 + 1.76808i
\(686\) −9.89146 + 671.623i −0.0144190 + 0.979043i
\(687\) −363.502 + 598.269i −0.529115 + 0.870843i
\(688\) 113.775 + 381.044i 0.165370 + 0.553843i
\(689\) −774.757 281.988i −1.12447 0.409272i
\(690\) −274.009 + 673.918i −0.397114 + 0.976693i
\(691\) −72.6934 12.8178i −0.105200 0.0185496i 0.120800 0.992677i \(-0.461454\pi\)
−0.226000 + 0.974127i \(0.572565\pi\)
\(692\) −247.278 220.220i −0.357338 0.318237i
\(693\) −668.453 + 209.931i −0.964578 + 0.302931i
\(694\) 116.643 306.360i 0.168074 0.441441i
\(695\) 651.383 776.288i 0.937242 1.11696i
\(696\) 101.720 + 938.445i 0.146150 + 1.34834i
\(697\) −157.530 893.398i −0.226012 1.28178i
\(698\) −179.450 155.136i −0.257091 0.222258i
\(699\) −1215.72 + 411.914i −1.73922 + 0.589290i
\(700\) 293.561 + 371.546i 0.419373 + 0.530781i
\(701\) −807.939 −1.15255 −0.576276 0.817255i \(-0.695495\pi\)
−0.576276 + 0.817255i \(0.695495\pi\)
\(702\) 789.590 + 363.020i 1.12477 + 0.517123i
\(703\) 4.35481i 0.00619461i
\(704\) −1155.57 310.988i −1.64143 0.441745i
\(705\) 329.976 375.837i 0.468052 0.533102i
\(706\) −652.436 564.038i −0.924131 0.798921i
\(707\) 593.491 104.649i 0.839450 0.148018i
\(708\) 842.249 + 546.335i 1.18962 + 0.771660i
\(709\) −375.128 314.770i −0.529094 0.443963i 0.338694 0.940896i \(-0.390015\pi\)
−0.867788 + 0.496934i \(0.834459\pi\)
\(710\) 454.013 1192.45i 0.639455 1.67951i
\(711\) 4.23425 94.5264i 0.00595534 0.132949i
\(712\) −62.8040 + 98.4637i −0.0882079 + 0.138292i
\(713\) 62.7760 356.020i 0.0880449 0.499327i
\(714\) −371.099 + 51.3215i −0.519747 + 0.0718788i
\(715\) 752.324 2066.99i 1.05220 2.89090i
\(716\) 6.30115 213.875i 0.00880049 0.298709i
\(717\) 121.728 66.6926i 0.169774 0.0930162i
\(718\) −9.40593 + 638.656i −0.0131002 + 0.889493i
\(719\) −370.164 + 213.715i −0.514832 + 0.297239i −0.734818 0.678265i \(-0.762732\pi\)
0.219985 + 0.975503i \(0.429399\pi\)
\(720\) 1021.08 255.721i 1.41816 0.355168i
\(721\) −7.58616 + 13.1396i −0.0105217 + 0.0182242i
\(722\) −370.012 + 619.624i −0.512482 + 0.858206i
\(723\) −116.157 757.533i −0.160660 1.04776i
\(724\) 123.119 + 228.539i 0.170055 + 0.315661i
\(725\) −856.673 + 718.834i −1.18162 + 0.991495i
\(726\) 1370.79 + 50.8918i 1.88814 + 0.0700989i
\(727\) −405.970 1115.39i −0.558418 1.53424i −0.821932 0.569585i \(-0.807104\pi\)
0.263514 0.964656i \(1.58488\pi\)
\(728\) 475.603 247.253i 0.653301 0.339633i
\(729\) −276.689 674.451i −0.379546 0.925173i
\(730\) 83.2574 + 516.547i 0.114051 + 0.707599i
\(731\) −127.482 350.255i −0.174394 0.479145i
\(732\) −36.4755 295.787i −0.0498300 0.404081i
\(733\) −714.992 + 599.950i −0.975432 + 0.818485i −0.983394 0.181483i \(-0.941910\pi\)
0.00796157 + 0.999968i \(0.497466\pi\)
\(734\) −403.213 1160.73i −0.549337 1.58137i
\(735\) 105.248 + 686.386i 0.143194 + 0.933859i
\(736\) 528.089 53.4656i 0.717512 0.0726435i
\(737\) −491.671 + 851.599i −0.667125 + 1.15549i
\(738\) 252.497 1059.17i 0.342137 1.43519i
\(739\) 168.234 97.1298i 0.227651 0.131434i −0.381837 0.924230i \(-0.624708\pi\)
0.609488 + 0.792795i \(0.291375\pi\)
\(740\) 47.1307 + 322.579i 0.0636902 + 0.435917i
\(741\) 16.5379 9.06084i 0.0223184 0.0122279i
\(742\) 418.978 + 80.2562i 0.564661 + 0.108162i
\(743\) −237.223 + 651.765i −0.319277 + 0.877207i 0.671414 + 0.741082i \(0.265687\pi\)
−0.990692 + 0.136125i \(0.956535\pi\)
\(744\) −469.387 + 230.828i −0.630897 + 0.310252i
\(745\) 76.0407 431.248i 0.102068 0.578857i
\(746\) 930.796 757.955i 1.24772 1.01603i
\(747\) −40.6051 + 906.478i −0.0543575 + 1.21349i
\(748\) 1098.40 + 227.218i 1.46844 + 0.303767i
\(749\) 378.007 + 317.185i 0.504682 + 0.423479i
\(750\) 111.681 + 101.004i 0.148908 + 0.134672i
\(751\) 826.362 145.710i 1.10035 0.194021i 0.406152 0.913806i \(-0.366871\pi\)
0.694198 + 0.719785i \(0.255759\pi\)
\(752\) −355.010 84.4122i −0.472087 0.112250i
\(753\) 941.029 1071.81i 1.24971 1.42339i
\(754\) 616.754 + 1105.53i 0.817976 + 1.46623i
\(755\) 517.988i 0.686077i