Properties

Label 177.3.h.a.5.17
Level $177$
Weight $3$
Character 177.5
Analytic conductor $4.823$
Analytic rank $0$
Dimension $1064$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(1064\)
Relative dimension: \(38\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.17
Character \(\chi\) \(=\) 177.5
Dual form 177.3.h.a.71.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.221328 + 0.656877i) q^{2} +(-2.72451 - 1.25582i) q^{3} +(2.80187 + 2.12993i) q^{4} +(-2.12339 - 0.846038i) q^{5} +(1.42792 - 1.51172i) q^{6} +(-1.48778 + 0.688319i) q^{7} +(-4.31412 + 2.92505i) q^{8} +(5.84586 + 6.84295i) q^{9} +O(q^{10})\) \(q+(-0.221328 + 0.656877i) q^{2} +(-2.72451 - 1.25582i) q^{3} +(2.80187 + 2.12993i) q^{4} +(-2.12339 - 0.846038i) q^{5} +(1.42792 - 1.51172i) q^{6} +(-1.48778 + 0.688319i) q^{7} +(-4.31412 + 2.92505i) q^{8} +(5.84586 + 6.84295i) q^{9} +(1.02571 - 1.20756i) q^{10} +(-14.8806 - 4.13157i) q^{11} +(-4.95892 - 9.32163i) q^{12} +(2.12693 - 4.01182i) q^{13} +(-0.122855 - 1.12963i) q^{14} +(4.72273 + 4.97163i) q^{15} +(2.79973 + 10.0837i) q^{16} +(-12.2260 + 26.4262i) q^{17} +(-5.78882 + 2.32547i) q^{18} +(-19.7529 + 4.34795i) q^{19} +(-4.14748 - 6.89317i) q^{20} +(4.91786 - 0.00695505i) q^{21} +(6.00741 - 8.86027i) q^{22} +(-35.2531 - 5.77945i) q^{23} +(15.4272 - 2.55156i) q^{24} +(-14.3569 - 13.5995i) q^{25} +(2.16452 + 2.28506i) q^{26} +(-7.33358 - 25.9850i) q^{27} +(-5.63463 - 1.24028i) q^{28} +(0.767237 + 2.27708i) q^{29} +(-4.31102 + 2.00190i) q^{30} +(44.6306 + 9.82394i) q^{31} +(-28.0618 - 1.52147i) q^{32} +(35.3537 + 29.9437i) q^{33} +(-14.6528 - 13.8798i) q^{34} +(3.74148 - 0.202857i) q^{35} +(1.80435 + 31.6243i) q^{36} +(-17.7258 + 26.1436i) q^{37} +(1.51580 - 13.9376i) q^{38} +(-10.8330 + 8.25920i) q^{39} +(11.6353 - 2.56112i) q^{40} +(74.9043 - 12.2799i) q^{41} +(-1.08389 + 3.23196i) q^{42} +(3.40711 + 12.2713i) q^{43} +(-32.8935 - 43.2707i) q^{44} +(-6.62366 - 19.4761i) q^{45} +(11.5989 - 21.8778i) q^{46} +(30.7997 - 12.2717i) q^{47} +(5.03541 - 30.9891i) q^{48} +(-29.9822 + 35.2978i) q^{49} +(12.1108 - 6.42073i) q^{50} +(66.4963 - 56.6446i) q^{51} +(14.5043 - 6.71040i) q^{52} +(47.9539 - 40.7324i) q^{53} +(18.6920 + 0.933933i) q^{54} +(28.1019 + 21.3625i) q^{55} +(4.40508 - 7.32130i) q^{56} +(59.2772 + 12.9600i) q^{57} -1.66557 q^{58} +(-33.7779 + 48.3741i) q^{59} +(2.64329 + 23.9889i) q^{60} +(-24.9232 - 8.39761i) q^{61} +(-16.3311 + 27.1425i) q^{62} +(-13.4075 - 6.15697i) q^{63} +(-8.28398 + 20.7912i) q^{64} +(-7.91048 + 6.71922i) q^{65} +(-27.4941 + 16.5956i) q^{66} +(-22.8880 - 33.7573i) q^{67} +(-90.5416 + 48.0021i) q^{68} +(88.7893 + 60.0175i) q^{69} +(-0.694841 + 2.50259i) q^{70} +(51.5288 - 20.5309i) q^{71} +(-45.2357 - 12.4219i) q^{72} +(40.1420 - 4.36571i) q^{73} +(-13.2499 - 17.4300i) q^{74} +(22.0368 + 55.0816i) q^{75} +(-64.6060 - 29.8899i) q^{76} +(24.9828 - 4.09572i) q^{77} +(-3.02764 - 8.94390i) q^{78} +(85.7700 - 51.6061i) q^{79} +(2.58628 - 23.7804i) q^{80} +(-12.6520 + 80.0058i) q^{81} +(-8.51199 + 51.9208i) q^{82} +(-94.0708 + 5.10037i) q^{83} +(13.7940 + 10.4552i) q^{84} +(48.3183 - 45.7695i) q^{85} +(-8.81481 - 0.477925i) q^{86} +(0.769249 - 7.16742i) q^{87} +(76.2816 - 25.7023i) q^{88} +(36.9300 + 109.604i) q^{89} +(14.2594 - 0.0403326i) q^{90} +(-0.402990 + 7.43271i) q^{91} +(-86.4648 - 91.2798i) q^{92} +(-109.259 - 82.8132i) q^{93} +(1.24419 + 22.9477i) q^{94} +(45.6218 + 7.47932i) q^{95} +(74.5439 + 39.3857i) q^{96} +(-127.242 - 13.8384i) q^{97} +(-16.5504 - 27.5070i) q^{98} +(-58.7175 - 125.980i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} + O(q^{10}) \) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} - 94q^{10} - 29q^{12} - 54q^{13} - 12q^{15} - 158q^{16} - 27q^{18} - 30q^{19} - 18q^{21} - 142q^{22} - 23q^{24} + 108q^{25} - 32q^{27} - 70q^{28} - 131q^{30} - 18q^{31} + 17q^{33} + 90q^{34} + 67q^{36} - 170q^{37} - 91q^{39} - 2q^{40} - 43q^{42} - 222q^{43} - 461q^{45} - 54q^{46} - 1645q^{48} - 300q^{49} - 893q^{51} - 66q^{52} - 859q^{54} + 170q^{55} - 27q^{57} - 36q^{58} + 510q^{60} - 70q^{61} + 610q^{63} - 106q^{64} + 1619q^{66} - 182q^{67} + 1487q^{69} - 206q^{70} + 2241q^{72} + 134q^{73} + 542q^{75} + 246q^{76} - 273q^{78} - 122q^{79} + 127q^{81} + 122q^{82} - 329q^{84} - 6q^{85} + 54q^{87} + 38q^{88} + 347q^{90} + 274q^{91} - 483q^{93} - 826q^{94} + 693q^{96} - 474q^{97} - 523q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.221328 + 0.656877i −0.110664 + 0.328438i −0.988648 0.150252i \(-0.951992\pi\)
0.877984 + 0.478690i \(0.158888\pi\)
\(3\) −2.72451 1.25582i −0.908168 0.418605i
\(4\) 2.80187 + 2.12993i 0.700468 + 0.532482i
\(5\) −2.12339 0.846038i −0.424679 0.169208i 0.148000 0.988987i \(-0.452716\pi\)
−0.572679 + 0.819780i \(0.694096\pi\)
\(6\) 1.42792 1.51172i 0.237987 0.251953i
\(7\) −1.48778 + 0.688319i −0.212540 + 0.0983312i −0.523270 0.852167i \(-0.675288\pi\)
0.310731 + 0.950498i \(0.399426\pi\)
\(8\) −4.31412 + 2.92505i −0.539265 + 0.365631i
\(9\) 5.84586 + 6.84295i 0.649539 + 0.760328i
\(10\) 1.02571 1.20756i 0.102571 0.120756i
\(11\) −14.8806 4.13157i −1.35278 0.375597i −0.485856 0.874039i \(-0.661492\pi\)
−0.866923 + 0.498442i \(0.833906\pi\)
\(12\) −4.95892 9.32163i −0.413243 0.776802i
\(13\) 2.12693 4.01182i 0.163610 0.308602i −0.788129 0.615511i \(-0.788950\pi\)
0.951739 + 0.306909i \(0.0992947\pi\)
\(14\) −0.122855 1.12963i −0.00877533 0.0806878i
\(15\) 4.72273 + 4.97163i 0.314849 + 0.331442i
\(16\) 2.79973 + 10.0837i 0.174983 + 0.630233i
\(17\) −12.2260 + 26.4262i −0.719179 + 1.55448i 0.109016 + 0.994040i \(0.465230\pi\)
−0.828195 + 0.560440i \(0.810632\pi\)
\(18\) −5.78882 + 2.32547i −0.321601 + 0.129193i
\(19\) −19.7529 + 4.34795i −1.03963 + 0.228839i −0.701804 0.712370i \(-0.747622\pi\)
−0.337824 + 0.941209i \(0.609691\pi\)
\(20\) −4.14748 6.89317i −0.207374 0.344658i
\(21\) 4.91786 0.00695505i 0.234184 0.000331193i
\(22\) 6.00741 8.86027i 0.273064 0.402740i
\(23\) −35.2531 5.77945i −1.53274 0.251281i −0.664451 0.747332i \(-0.731334\pi\)
−0.868293 + 0.496052i \(0.834783\pi\)
\(24\) 15.4272 2.55156i 0.642798 0.106315i
\(25\) −14.3569 13.5995i −0.574274 0.543982i
\(26\) 2.16452 + 2.28506i 0.0832509 + 0.0878869i
\(27\) −7.33358 25.9850i −0.271614 0.962406i
\(28\) −5.63463 1.24028i −0.201237 0.0442955i
\(29\) 0.767237 + 2.27708i 0.0264565 + 0.0785200i 0.960068 0.279767i \(-0.0902574\pi\)
−0.933611 + 0.358287i \(0.883361\pi\)
\(30\) −4.31102 + 2.00190i −0.143701 + 0.0667298i
\(31\) 44.6306 + 9.82394i 1.43970 + 0.316901i 0.865127 0.501553i \(-0.167238\pi\)
0.574571 + 0.818455i \(0.305169\pi\)
\(32\) −28.0618 1.52147i −0.876932 0.0475459i
\(33\) 35.3537 + 29.9437i 1.07132 + 0.907386i
\(34\) −14.6528 13.8798i −0.430964 0.408231i
\(35\) 3.74148 0.202857i 0.106899 0.00579592i
\(36\) 1.80435 + 31.6243i 0.0501207 + 0.878453i
\(37\) −17.7258 + 26.1436i −0.479076 + 0.706584i −0.988039 0.154204i \(-0.950719\pi\)
0.508963 + 0.860788i \(0.330029\pi\)
\(38\) 1.51580 13.9376i 0.0398895 0.366778i
\(39\) −10.8330 + 8.25920i −0.277768 + 0.211774i
\(40\) 11.6353 2.56112i 0.290882 0.0640280i
\(41\) 74.9043 12.2799i 1.82694 0.299511i 0.852257 0.523123i \(-0.175233\pi\)
0.974678 + 0.223612i \(0.0717849\pi\)
\(42\) −1.08389 + 3.23196i −0.0258069 + 0.0769515i
\(43\) 3.40711 + 12.2713i 0.0792351 + 0.285379i 0.992544 0.121889i \(-0.0388953\pi\)
−0.913309 + 0.407268i \(0.866481\pi\)
\(44\) −32.8935 43.2707i −0.747579 0.983424i
\(45\) −6.62366 19.4761i −0.147193 0.432802i
\(46\) 11.5989 21.8778i 0.252149 0.475604i
\(47\) 30.7997 12.2717i 0.655313 0.261101i −0.0186941 0.999825i \(-0.505951\pi\)
0.674007 + 0.738725i \(0.264572\pi\)
\(48\) 5.03541 30.9891i 0.104904 0.645606i
\(49\) −29.9822 + 35.2978i −0.611882 + 0.720364i
\(50\) 12.1108 6.42073i 0.242216 0.128415i
\(51\) 66.4963 56.6446i 1.30385 1.11068i
\(52\) 14.5043 6.71040i 0.278929 0.129046i
\(53\) 47.9539 40.7324i 0.904791 0.768536i −0.0686102 0.997644i \(-0.521856\pi\)
0.973401 + 0.229107i \(0.0735806\pi\)
\(54\) 18.6920 + 0.933933i 0.346149 + 0.0172950i
\(55\) 28.1019 + 21.3625i 0.510943 + 0.388409i
\(56\) 4.40508 7.32130i 0.0786622 0.130738i
\(57\) 59.2772 + 12.9600i 1.03995 + 0.227369i
\(58\) −1.66557 −0.0287167
\(59\) −33.7779 + 48.3741i −0.572507 + 0.819900i
\(60\) 2.64329 + 23.9889i 0.0440548 + 0.399816i
\(61\) −24.9232 8.39761i −0.408577 0.137666i 0.107505 0.994205i \(-0.465714\pi\)
−0.516083 + 0.856539i \(0.672610\pi\)
\(62\) −16.3311 + 27.1425i −0.263405 + 0.437782i
\(63\) −13.4075 6.15697i −0.212817 0.0977297i
\(64\) −8.28398 + 20.7912i −0.129437 + 0.324863i
\(65\) −7.91048 + 6.71922i −0.121700 + 0.103373i
\(66\) −27.4941 + 16.5956i −0.416577 + 0.251449i
\(67\) −22.8880 33.7573i −0.341612 0.503840i 0.617613 0.786482i \(-0.288100\pi\)
−0.959226 + 0.282642i \(0.908789\pi\)
\(68\) −90.5416 + 48.0021i −1.33149 + 0.705914i
\(69\) 88.7893 + 60.0175i 1.28680 + 0.869819i
\(70\) −0.694841 + 2.50259i −0.00992629 + 0.0357513i
\(71\) 51.5288 20.5309i 0.725758 0.289168i 0.0221477 0.999755i \(-0.492950\pi\)
0.703610 + 0.710586i \(0.251570\pi\)
\(72\) −45.2357 12.4219i −0.628273 0.172527i
\(73\) 40.1420 4.36571i 0.549891 0.0598042i 0.171043 0.985263i \(-0.445286\pi\)
0.378847 + 0.925459i \(0.376321\pi\)
\(74\) −13.2499 17.4300i −0.179053 0.235540i
\(75\) 22.0368 + 55.0816i 0.293824 + 0.734421i
\(76\) −64.6060 29.8899i −0.850079 0.393288i
\(77\) 24.9828 4.09572i 0.324452 0.0531912i
\(78\) −3.02764 8.94390i −0.0388159 0.114665i
\(79\) 85.7700 51.6061i 1.08570 0.653242i 0.143956 0.989584i \(-0.454017\pi\)
0.941740 + 0.336342i \(0.109190\pi\)
\(80\) 2.58628 23.7804i 0.0323284 0.297255i
\(81\) −12.6520 + 80.0058i −0.156197 + 0.987726i
\(82\) −8.51199 + 51.9208i −0.103805 + 0.633181i
\(83\) −94.0708 + 5.10037i −1.13338 + 0.0614502i −0.611267 0.791424i \(-0.709340\pi\)
−0.522116 + 0.852875i \(0.674857\pi\)
\(84\) 13.7940 + 10.4552i 0.164214 + 0.124467i
\(85\) 48.3183 45.7695i 0.568450 0.538465i
\(86\) −8.81481 0.477925i −0.102498 0.00555727i
\(87\) 0.769249 7.16742i 0.00884194 0.0823841i
\(88\) 76.2816 25.7023i 0.866836 0.292071i
\(89\) 36.9300 + 109.604i 0.414944 + 1.23151i 0.927814 + 0.373043i \(0.121685\pi\)
−0.512871 + 0.858466i \(0.671418\pi\)
\(90\) 14.2594 0.0403326i 0.158438 0.000448141i
\(91\) −0.402990 + 7.43271i −0.00442846 + 0.0816781i
\(92\) −86.4648 91.2798i −0.939835 0.992172i
\(93\) −109.259 82.8132i −1.17483 0.890465i
\(94\) 1.24419 + 22.9477i 0.0132360 + 0.244124i
\(95\) 45.6218 + 7.47932i 0.480230 + 0.0787297i
\(96\) 74.5439 + 39.3857i 0.776499 + 0.410268i
\(97\) −127.242 13.8384i −1.31177 0.142664i −0.574636 0.818409i \(-0.694856\pi\)
−0.737135 + 0.675746i \(0.763822\pi\)
\(98\) −16.5504 27.5070i −0.168882 0.280684i
\(99\) −58.7175 125.980i −0.593106 1.27252i
\(100\) −11.2600 68.6832i −0.112600 0.686832i
\(101\) −0.520294 + 1.12460i −0.00515143 + 0.0111346i −0.910134 0.414314i \(-0.864022\pi\)
0.904983 + 0.425449i \(0.139884\pi\)
\(102\) 22.4910 + 56.2169i 0.220500 + 0.551146i
\(103\) −123.642 + 93.9901i −1.20041 + 0.912525i −0.997771 0.0667295i \(-0.978744\pi\)
−0.202635 + 0.979254i \(0.564950\pi\)
\(104\) 2.55892 + 23.5289i 0.0246050 + 0.226239i
\(105\) −10.4484 4.14592i −0.0995089 0.0394850i
\(106\) 16.1427 + 40.5150i 0.152289 + 0.382217i
\(107\) −7.21293 2.00266i −0.0674106 0.0187165i 0.233659 0.972319i \(-0.424930\pi\)
−0.301070 + 0.953602i \(0.597344\pi\)
\(108\) 34.7983 88.4265i 0.322207 0.818764i
\(109\) −34.2012 64.5103i −0.313772 0.591837i 0.675595 0.737273i \(-0.263887\pi\)
−0.989368 + 0.145435i \(0.953542\pi\)
\(110\) −20.2522 + 13.7314i −0.184111 + 0.124830i
\(111\) 81.1256 48.9681i 0.730861 0.441154i
\(112\) −11.1062 13.0752i −0.0991624 0.116743i
\(113\) 14.1145 + 5.62371i 0.124907 + 0.0497674i 0.431754 0.901991i \(-0.357895\pi\)
−0.306847 + 0.951759i \(0.599274\pi\)
\(114\) −21.6328 + 36.0694i −0.189762 + 0.316398i
\(115\) 69.9666 + 42.0975i 0.608405 + 0.366065i
\(116\) −2.70031 + 8.01424i −0.0232786 + 0.0690883i
\(117\) 39.8865 8.89803i 0.340910 0.0760516i
\(118\) −24.2998 32.8945i −0.205931 0.278767i
\(119\) 47.7316i 0.401106i
\(120\) −34.9167 7.63398i −0.290972 0.0636165i
\(121\) 100.682 + 60.5782i 0.832081 + 0.500646i
\(122\) 11.0324 14.5129i 0.0904294 0.118958i
\(123\) −219.499 60.6093i −1.78454 0.492758i
\(124\) 104.125 + 122.585i 0.839718 + 0.988592i
\(125\) 42.9734 + 92.8856i 0.343788 + 0.743085i
\(126\) 7.01181 7.44434i 0.0556493 0.0590821i
\(127\) −72.3196 136.409i −0.569446 1.07409i −0.986276 0.165104i \(-0.947204\pi\)
0.416830 0.908984i \(-0.363141\pi\)
\(128\) −97.5001 82.8173i −0.761719 0.647010i
\(129\) 6.12780 37.7119i 0.0475023 0.292340i
\(130\) −2.66289 6.68336i −0.0204838 0.0514104i
\(131\) −13.6316 7.22702i −0.104058 0.0551681i 0.415567 0.909563i \(-0.363583\pi\)
−0.519625 + 0.854395i \(0.673928\pi\)
\(132\) 35.2785 + 159.199i 0.267262 + 1.20606i
\(133\) 26.3952 20.0651i 0.198460 0.150865i
\(134\) 27.2401 7.56318i 0.203285 0.0564417i
\(135\) −6.41219 + 61.3808i −0.0474977 + 0.454673i
\(136\) −24.5531 149.767i −0.180538 1.10123i
\(137\) 21.1623 + 96.1414i 0.154470 + 0.701762i 0.988646 + 0.150264i \(0.0480125\pi\)
−0.834176 + 0.551498i \(0.814056\pi\)
\(138\) −59.0757 + 45.0401i −0.428084 + 0.326378i
\(139\) −19.3460 2.10401i −0.139180 0.0151367i 0.0382638 0.999268i \(-0.487817\pi\)
−0.177444 + 0.984131i \(0.556783\pi\)
\(140\) 10.9152 + 7.40070i 0.0779658 + 0.0528622i
\(141\) −99.3251 5.24438i −0.704433 0.0371942i
\(142\) 2.08156 + 38.3921i 0.0146589 + 0.270367i
\(143\) −48.2251 + 50.9106i −0.337239 + 0.356018i
\(144\) −52.6356 + 78.1064i −0.365525 + 0.542406i
\(145\) 0.297347 5.48425i 0.00205067 0.0378224i
\(146\) −6.01680 + 27.3346i −0.0412110 + 0.187223i
\(147\) 126.014 58.5169i 0.857240 0.398074i
\(148\) −105.349 + 35.4964i −0.711820 + 0.239840i
\(149\) −41.3497 + 187.854i −0.277515 + 1.26076i 0.607170 + 0.794572i \(0.292305\pi\)
−0.884685 + 0.466190i \(0.845626\pi\)
\(150\) −41.0592 + 2.28441i −0.273728 + 0.0152294i
\(151\) −89.1341 + 84.4323i −0.590292 + 0.559154i −0.923451 0.383716i \(-0.874644\pi\)
0.333159 + 0.942871i \(0.391885\pi\)
\(152\) 72.4986 76.5358i 0.476964 0.503525i
\(153\) −252.305 + 70.8213i −1.64905 + 0.462884i
\(154\) −2.83900 + 17.3171i −0.0184350 + 0.112449i
\(155\) −86.4570 58.6193i −0.557787 0.378189i
\(156\) −47.9440 + 0.0678046i −0.307333 + 0.000434645i
\(157\) −10.5970 + 6.37601i −0.0674969 + 0.0406115i −0.548902 0.835887i \(-0.684954\pi\)
0.481405 + 0.876498i \(0.340127\pi\)
\(158\) 14.9156 + 67.7622i 0.0944024 + 0.428875i
\(159\) −181.803 + 50.7544i −1.14342 + 0.319210i
\(160\) 58.2991 + 26.9721i 0.364370 + 0.168575i
\(161\) 56.4269 15.6668i 0.350477 0.0973096i
\(162\) −49.7537 26.0183i −0.307122 0.160607i
\(163\) −65.7180 + 7.14726i −0.403178 + 0.0438482i −0.307462 0.951560i \(-0.599480\pi\)
−0.0957161 + 0.995409i \(0.530514\pi\)
\(164\) 236.028 + 125.134i 1.43919 + 0.763012i
\(165\) −49.7363 93.4929i −0.301432 0.566624i
\(166\) 17.4701 62.9218i 0.105242 0.379047i
\(167\) 138.267 + 117.445i 0.827947 + 0.703265i 0.957539 0.288303i \(-0.0930910\pi\)
−0.129592 + 0.991567i \(0.541367\pi\)
\(168\) −21.1959 + 14.4150i −0.126166 + 0.0858033i
\(169\) 83.2697 + 122.814i 0.492720 + 0.726708i
\(170\) 19.3707 + 41.8692i 0.113946 + 0.246289i
\(171\) −145.226 109.751i −0.849273 0.641818i
\(172\) −16.5907 + 41.6395i −0.0964575 + 0.242090i
\(173\) 85.8771 112.969i 0.496400 0.653003i −0.477859 0.878437i \(-0.658587\pi\)
0.974258 + 0.225434i \(0.0723800\pi\)
\(174\) 4.53786 + 2.09165i 0.0260796 + 0.0120210i
\(175\) 30.7206 + 10.3510i 0.175546 + 0.0591485i
\(176\) 161.619i 0.918289i
\(177\) 152.777 89.3766i 0.863147 0.504952i
\(178\) −80.1701 −0.450394
\(179\) 80.1015 237.733i 0.447495 1.32812i −0.452324 0.891853i \(-0.649405\pi\)
0.899819 0.436263i \(-0.143698\pi\)
\(180\) 22.9240 68.6775i 0.127356 0.381541i
\(181\) 249.720 + 189.832i 1.37967 + 1.04880i 0.991897 + 0.127041i \(0.0405481\pi\)
0.387771 + 0.921756i \(0.373245\pi\)
\(182\) −4.79318 1.90978i −0.0263361 0.0104933i
\(183\) 57.3576 + 54.1783i 0.313430 + 0.296056i
\(184\) 168.991 78.1837i 0.918431 0.424911i
\(185\) 59.7574 40.5165i 0.323013 0.219008i
\(186\) 78.5802 53.4410i 0.422474 0.287317i
\(187\) 291.112 342.724i 1.55675 1.83275i
\(188\) 112.435 + 31.2174i 0.598057 + 0.166050i
\(189\) 28.7967 + 33.6120i 0.152363 + 0.177841i
\(190\) −15.0104 + 28.3125i −0.0790019 + 0.149013i
\(191\) 2.86762 + 26.3673i 0.0150137 + 0.138049i 0.999246 0.0388337i \(-0.0123643\pi\)
−0.984232 + 0.176883i \(0.943399\pi\)
\(192\) 48.6797 46.2426i 0.253540 0.240847i
\(193\) 13.4292 + 48.3676i 0.0695813 + 0.250609i 0.990158 0.139952i \(-0.0446948\pi\)
−0.920577 + 0.390561i \(0.872281\pi\)
\(194\) 37.2522 80.5193i 0.192022 0.415048i
\(195\) 29.9902 8.37245i 0.153796 0.0429356i
\(196\) −159.188 + 35.0400i −0.812184 + 0.178775i
\(197\) −58.5236 97.2671i −0.297074 0.493741i 0.671986 0.740563i \(-0.265441\pi\)
−0.969061 + 0.246822i \(0.920614\pi\)
\(198\) 95.7488 10.6874i 0.483580 0.0539769i
\(199\) −170.743 + 251.827i −0.858006 + 1.26546i 0.104588 + 0.994516i \(0.466648\pi\)
−0.962594 + 0.270949i \(0.912663\pi\)
\(200\) 101.716 + 16.6756i 0.508582 + 0.0833779i
\(201\) 19.9656 + 120.715i 0.0993312 + 0.600572i
\(202\) −0.623567 0.590674i −0.00308696 0.00292413i
\(203\) −2.70883 2.85968i −0.0133440 0.0140871i
\(204\) 306.963 17.0785i 1.50472 0.0837180i
\(205\) −169.441 37.2967i −0.826541 0.181935i
\(206\) −34.3745 102.020i −0.166867 0.495243i
\(207\) −166.536 275.021i −0.804522 1.32860i
\(208\) 46.4090 + 10.2154i 0.223120 + 0.0491124i
\(209\) 311.899 + 16.9107i 1.49234 + 0.0809123i
\(210\) 5.03589 5.94573i 0.0239804 0.0283130i
\(211\) −204.342 193.563i −0.968447 0.917362i 0.0281655 0.999603i \(-0.491033\pi\)
−0.996612 + 0.0822416i \(0.973792\pi\)
\(212\) 221.118 11.9887i 1.04301 0.0565503i
\(213\) −166.174 8.77398i −0.780157 0.0411924i
\(214\) 2.91192 4.29476i 0.0136071 0.0200690i
\(215\) 3.14734 28.9393i 0.0146388 0.134602i
\(216\) 107.645 + 90.6512i 0.498357 + 0.419682i
\(217\) −73.1624 + 16.1043i −0.337154 + 0.0742132i
\(218\) 49.9450 8.18806i 0.229105 0.0375599i
\(219\) −114.850 38.5166i −0.524428 0.175875i
\(220\) 33.2373 + 119.710i 0.151079 + 0.544136i
\(221\) 80.0131 + 105.255i 0.362050 + 0.476269i
\(222\) 14.2106 + 64.1275i 0.0640119 + 0.288863i
\(223\) 91.6173 172.808i 0.410840 0.774926i −0.588599 0.808425i \(-0.700320\pi\)
0.999439 + 0.0334992i \(0.0106651\pi\)
\(224\) 42.7970 17.0519i 0.191058 0.0761245i
\(225\) 9.13286 177.744i 0.0405905 0.789974i
\(226\) −6.81800 + 8.02678i −0.0301682 + 0.0355167i
\(227\) 68.1836 36.1487i 0.300368 0.159245i −0.311407 0.950277i \(-0.600800\pi\)
0.611776 + 0.791031i \(0.290455\pi\)
\(228\) 138.483 + 162.568i 0.607382 + 0.713019i
\(229\) 22.4269 10.3758i 0.0979338 0.0453090i −0.370311 0.928908i \(-0.620749\pi\)
0.468244 + 0.883599i \(0.344887\pi\)
\(230\) −43.1384 + 36.6421i −0.187558 + 0.159314i
\(231\) −73.2092 20.2150i −0.316923 0.0875107i
\(232\) −9.97051 7.57939i −0.0429763 0.0326698i
\(233\) −96.7686 + 160.831i −0.415316 + 0.690260i −0.991934 0.126753i \(-0.959544\pi\)
0.576618 + 0.817014i \(0.304372\pi\)
\(234\) −2.98306 + 28.1699i −0.0127481 + 0.120384i
\(235\) −75.7823 −0.322478
\(236\) −197.675 + 63.5934i −0.837604 + 0.269464i
\(237\) −298.489 + 32.8898i −1.25945 + 0.138775i
\(238\) 31.3538 + 10.5643i 0.131739 + 0.0443879i
\(239\) 1.70161 2.82810i 0.00711972 0.0118331i −0.853277 0.521458i \(-0.825388\pi\)
0.860397 + 0.509625i \(0.170216\pi\)
\(240\) −36.9101 + 61.5420i −0.153792 + 0.256425i
\(241\) −40.0176 + 100.437i −0.166048 + 0.416749i −0.988329 0.152332i \(-0.951322\pi\)
0.822281 + 0.569081i \(0.192701\pi\)
\(242\) −62.0761 + 52.7279i −0.256513 + 0.217884i
\(243\) 134.943 202.088i 0.555320 0.831637i
\(244\) −51.9454 76.6137i −0.212891 0.313990i
\(245\) 93.5274 49.5851i 0.381745 0.202388i
\(246\) 88.3939 130.769i 0.359325 0.531581i
\(247\) −24.5700 + 88.4931i −0.0994736 + 0.358272i
\(248\) −221.277 + 88.1649i −0.892247 + 0.355504i
\(249\) 262.701 + 104.240i 1.05503 + 0.418633i
\(250\) −70.5256 + 7.67012i −0.282102 + 0.0306805i
\(251\) −94.0459 123.715i −0.374685 0.492890i 0.569644 0.821891i \(-0.307081\pi\)
−0.944329 + 0.329002i \(0.893288\pi\)
\(252\) −24.4521 45.8079i −0.0970320 0.181778i
\(253\) 500.708 + 231.652i 1.97908 + 0.915621i
\(254\) 105.610 17.3139i 0.415789 0.0681651i
\(255\) −189.121 + 64.0204i −0.741652 + 0.251060i
\(256\) −0.728247 + 0.438172i −0.00284472 + 0.00171161i
\(257\) −53.1449 + 488.660i −0.206790 + 1.90140i 0.187260 + 0.982310i \(0.440039\pi\)
−0.394050 + 0.919089i \(0.628926\pi\)
\(258\) 23.4158 + 12.3719i 0.0907590 + 0.0479531i
\(259\) 8.37691 51.0969i 0.0323433 0.197285i
\(260\) −36.4756 + 1.97765i −0.140291 + 0.00760634i
\(261\) −11.0968 + 18.5616i −0.0425164 + 0.0711174i
\(262\) 7.76431 7.35474i 0.0296348 0.0280715i
\(263\) −368.071 19.9562i −1.39951 0.0758792i −0.661133 0.750269i \(-0.729924\pi\)
−0.738376 + 0.674390i \(0.764407\pi\)
\(264\) −240.107 25.7697i −0.909496 0.0976123i
\(265\) −136.286 + 45.9202i −0.514288 + 0.173284i
\(266\) 7.33831 + 21.7793i 0.0275876 + 0.0818772i
\(267\) 37.0268 344.995i 0.138677 1.29211i
\(268\) 7.77131 143.333i 0.0289974 0.534826i
\(269\) −138.510 146.224i −0.514908 0.543582i 0.415747 0.909481i \(-0.363520\pi\)
−0.930655 + 0.365898i \(0.880762\pi\)
\(270\) −38.9005 17.7973i −0.144076 0.0659159i
\(271\) −7.64162 140.941i −0.0281979 0.520079i −0.978178 0.207769i \(-0.933380\pi\)
0.949980 0.312310i \(-0.101103\pi\)
\(272\) −300.704 49.2979i −1.10553 0.181242i
\(273\) 10.4321 19.7444i 0.0382126 0.0723237i
\(274\) −67.8369 7.37770i −0.247580 0.0269259i
\(275\) 157.451 + 261.685i 0.572548 + 0.951583i
\(276\) 120.943 + 357.276i 0.438200 + 1.29448i
\(277\) −11.0016 67.1067i −0.0397169 0.242262i 0.959506 0.281690i \(-0.0908949\pi\)
−0.999222 + 0.0394274i \(0.987447\pi\)
\(278\) 5.66388 12.2423i 0.0203737 0.0440369i
\(279\) 193.679 + 362.835i 0.694191 + 1.30048i
\(280\) −15.5478 + 11.8192i −0.0555280 + 0.0422113i
\(281\) −39.8588 366.495i −0.141846 1.30425i −0.821283 0.570520i \(-0.806742\pi\)
0.679437 0.733734i \(-0.262224\pi\)
\(282\) 25.4283 64.0836i 0.0901712 0.227247i
\(283\) 131.561 + 330.194i 0.464881 + 1.16676i 0.955395 + 0.295330i \(0.0954294\pi\)
−0.490515 + 0.871433i \(0.663191\pi\)
\(284\) 188.106 + 52.2275i 0.662347 + 0.183900i
\(285\) −114.904 77.6700i −0.403173 0.272526i
\(286\) −22.7685 42.9459i −0.0796100 0.150160i
\(287\) −102.988 + 69.8279i −0.358845 + 0.243303i
\(288\) −153.634 200.920i −0.533452 0.697639i
\(289\) −361.771 425.910i −1.25180 1.47374i
\(290\) 3.53666 + 1.40914i 0.0121954 + 0.00485909i
\(291\) 329.292 + 197.495i 1.13159 + 0.678677i
\(292\) 121.771 + 73.2674i 0.417025 + 0.250916i
\(293\) −9.37233 + 27.8161i −0.0319875 + 0.0949354i −0.962457 0.271433i \(-0.912502\pi\)
0.930470 + 0.366368i \(0.119399\pi\)
\(294\) 10.5480 + 95.7273i 0.0358774 + 0.325603i
\(295\) 112.650 74.1399i 0.381865 0.251322i
\(296\) 164.635i 0.556201i
\(297\) 1.76910 + 416.970i 0.00595658 + 1.40394i
\(298\) −114.245 68.7388i −0.383372 0.230667i
\(299\) −98.1672 + 129.137i −0.328318 + 0.431895i
\(300\) −55.5754 + 201.268i −0.185251 + 0.670894i
\(301\) −13.5156 15.9118i −0.0449023 0.0528630i
\(302\) −35.7338 77.2373i −0.118324 0.255753i
\(303\) 2.82983 2.41058i 0.00933938 0.00795571i
\(304\) −99.1465 187.010i −0.326140 0.615165i
\(305\) 45.8172 + 38.9174i 0.150220 + 0.127598i
\(306\) 9.32110 181.408i 0.0304611 0.592836i
\(307\) 119.917 + 300.970i 0.390610 + 0.980357i 0.984433 + 0.175761i \(0.0562387\pi\)
−0.593823 + 0.804596i \(0.702382\pi\)
\(308\) 78.7222 + 41.7359i 0.255591 + 0.135506i
\(309\) 454.897 100.805i 1.47216 0.326230i
\(310\) 57.6410 43.8175i 0.185939 0.141347i
\(311\) −256.752 + 71.2867i −0.825568 + 0.229218i −0.654520 0.756045i \(-0.727129\pi\)
−0.171048 + 0.985263i \(0.554715\pi\)
\(312\) 22.5761 67.3180i 0.0723594 0.215763i
\(313\) −74.9124 456.946i −0.239337 1.45989i −0.783752 0.621074i \(-0.786697\pi\)
0.544415 0.838816i \(-0.316752\pi\)
\(314\) −1.84284 8.37212i −0.00586892 0.0266628i
\(315\) 23.2603 + 24.4169i 0.0738422 + 0.0775140i
\(316\) 350.234 + 38.0902i 1.10833 + 0.120539i
\(317\) −72.7362 49.3164i −0.229452 0.155572i 0.441044 0.897485i \(-0.354608\pi\)
−0.670496 + 0.741913i \(0.733919\pi\)
\(318\) 6.89863 130.656i 0.0216938 0.410867i
\(319\) −2.00902 37.0541i −0.00629786 0.116157i
\(320\) 35.1803 37.1394i 0.109938 0.116061i
\(321\) 17.1367 + 14.5144i 0.0533854 + 0.0452161i
\(322\) −2.19763 + 40.5330i −0.00682495 + 0.125879i
\(323\) 126.601 575.153i 0.391952 1.78066i
\(324\) −205.856 + 197.218i −0.635357 + 0.608698i
\(325\) −85.0950 + 28.6719i −0.261831 + 0.0882211i
\(326\) 9.85033 44.7505i 0.0302157 0.137271i
\(327\) 12.1683 + 218.709i 0.0372119 + 0.668835i
\(328\) −287.227 + 272.076i −0.875692 + 0.829499i
\(329\) −37.3763 + 39.4576i −0.113606 + 0.119932i
\(330\) 72.4214 11.9781i 0.219459 0.0362972i
\(331\) −70.0637 + 427.370i −0.211673 + 1.29115i 0.640529 + 0.767934i \(0.278715\pi\)
−0.852202 + 0.523213i \(0.824733\pi\)
\(332\) −274.438 186.073i −0.826619 0.560462i
\(333\) −282.522 + 31.5349i −0.848414 + 0.0946995i
\(334\) −107.749 + 64.8306i −0.322603 + 0.194104i
\(335\) 20.0403 + 91.0442i 0.0598219 + 0.271774i
\(336\) 13.8388 + 49.5708i 0.0411869 + 0.147532i
\(337\) −238.774 110.469i −0.708529 0.327801i 0.0323147 0.999478i \(-0.489712\pi\)
−0.740844 + 0.671677i \(0.765574\pi\)
\(338\) −99.1033 + 27.5159i −0.293205 + 0.0814080i
\(339\) −31.3926 33.0470i −0.0926034 0.0974837i
\(340\) 232.867 25.3258i 0.684904 0.0744877i
\(341\) −623.541 330.580i −1.82857 0.969444i
\(342\) 104.235 71.1044i 0.304781 0.207908i
\(343\) 41.7999 150.550i 0.121866 0.438921i
\(344\) −50.5928 42.9739i −0.147072 0.124924i
\(345\) −137.758 202.560i −0.399298 0.587131i
\(346\) 55.2000 + 81.4139i 0.159538 + 0.235300i
\(347\) 189.758 + 410.155i 0.546853 + 1.18200i 0.962201 + 0.272340i \(0.0877977\pi\)
−0.415348 + 0.909662i \(0.636340\pi\)
\(348\) 17.4214 18.4437i 0.0500616 0.0529993i
\(349\) 18.6529 46.8152i 0.0534467 0.134141i −0.899829 0.436243i \(-0.856309\pi\)
0.953276 + 0.302102i \(0.0976882\pi\)
\(350\) −13.5986 + 17.8887i −0.0388533 + 0.0511106i
\(351\) −119.845 25.8473i −0.341439 0.0736390i
\(352\) 411.290 + 138.580i 1.16844 + 0.393692i
\(353\) 108.908i 0.308522i −0.988030 0.154261i \(-0.950700\pi\)
0.988030 0.154261i \(-0.0492996\pi\)
\(354\) 24.8956 + 120.137i 0.0703266 + 0.339371i
\(355\) −126.786 −0.357144
\(356\) −129.976 + 385.755i −0.365101 + 1.08358i
\(357\) −59.9421 + 130.045i −0.167905 + 0.364272i
\(358\) 138.433 + 105.234i 0.386683 + 0.293949i
\(359\) −14.7451 5.87499i −0.0410728 0.0163649i 0.349511 0.936932i \(-0.386348\pi\)
−0.390584 + 0.920567i \(0.627727\pi\)
\(360\) 85.5438 + 64.6477i 0.237622 + 0.179577i
\(361\) 43.6391 20.1896i 0.120884 0.0559268i
\(362\) −179.966 + 122.020i −0.497144 + 0.337072i
\(363\) −198.233 291.483i −0.546096 0.802984i
\(364\) −16.9602 + 19.9671i −0.0465941 + 0.0548548i
\(365\) −88.9309 24.6915i −0.243646 0.0676481i
\(366\) −48.2833 + 25.6857i −0.131922 + 0.0701796i
\(367\) 155.474 293.255i 0.423634 0.799059i −0.576199 0.817309i \(-0.695465\pi\)
0.999833 + 0.0182506i \(0.00580965\pi\)
\(368\) −40.4208 371.663i −0.109839 1.00996i
\(369\) 521.911 + 440.780i 1.41439 + 1.19453i
\(370\) 13.3884 + 48.2207i 0.0361849 + 0.130326i
\(371\) −43.3078 + 93.6083i −0.116733 + 0.252314i
\(372\) −129.744 464.746i −0.348775 1.24932i
\(373\) −417.697 + 91.9420i −1.11983 + 0.246493i −0.736048 0.676930i \(-0.763310\pi\)
−0.383783 + 0.923423i \(0.625379\pi\)
\(374\) 160.696 + 267.079i 0.429669 + 0.714115i
\(375\) −0.434221 307.034i −0.00115792 0.818757i
\(376\) −96.9783 + 143.032i −0.257921 + 0.380405i
\(377\) 10.7671 + 1.76518i 0.0285599 + 0.00468217i
\(378\) −28.4524 + 11.4766i −0.0752710 + 0.0303614i
\(379\) −19.5276 18.4975i −0.0515240 0.0488061i 0.661504 0.749941i \(-0.269918\pi\)
−0.713028 + 0.701135i \(0.752677\pi\)
\(380\) 111.896 + 118.127i 0.294463 + 0.310861i
\(381\) 25.7303 + 462.468i 0.0675336 + 1.21383i
\(382\) −17.9548 3.95214i −0.0470020 0.0103459i
\(383\) 194.244 + 576.495i 0.507164 + 1.50521i 0.829458 + 0.558569i \(0.188649\pi\)
−0.322295 + 0.946639i \(0.604454\pi\)
\(384\) 161.636 + 348.078i 0.420928 + 0.906454i
\(385\) −56.5135 12.4396i −0.146788 0.0323105i
\(386\) −34.7438 1.88375i −0.0900098 0.00488019i
\(387\) −64.0544 + 95.0509i −0.165515 + 0.245610i
\(388\) −327.040 309.789i −0.842887 0.798425i
\(389\) −212.176 + 11.5038i −0.545440 + 0.0295729i −0.324800 0.945783i \(-0.605297\pi\)
−0.220639 + 0.975355i \(0.570814\pi\)
\(390\) −1.13800 + 21.5529i −0.00291794 + 0.0552639i
\(391\) 583.735 860.944i 1.49293 2.20190i
\(392\) 26.0992 239.978i 0.0665796 0.612190i
\(393\) 28.0636 + 36.8088i 0.0714086 + 0.0936611i
\(394\) 76.8454 16.9149i 0.195039 0.0429313i
\(395\) −225.784 + 37.0155i −0.571606 + 0.0937100i
\(396\) 103.808 478.043i 0.262142 1.20718i
\(397\) 118.502 + 426.804i 0.298493 + 1.07507i 0.948923 + 0.315507i \(0.102175\pi\)
−0.650430 + 0.759566i \(0.725411\pi\)
\(398\) −127.629 167.894i −0.320677 0.421843i
\(399\) −97.1119 + 21.5200i −0.243388 + 0.0539348i
\(400\) 96.9386 182.846i 0.242347 0.457114i
\(401\) −623.130 + 248.278i −1.55394 + 0.619146i −0.979866 0.199657i \(-0.936017\pi\)
−0.574074 + 0.818803i \(0.694638\pi\)
\(402\) −83.7138 13.6026i −0.208243 0.0338374i
\(403\) 134.338 158.155i 0.333346 0.392445i
\(404\) −3.85311 + 2.04279i −0.00953740 + 0.00505641i
\(405\) 94.5530 159.180i 0.233464 0.393037i
\(406\) 2.47800 1.14644i 0.00610344 0.00282375i
\(407\) 371.784 315.796i 0.913475 0.775913i
\(408\) −121.185 + 438.876i −0.297022 + 1.07568i
\(409\) 250.849 + 190.691i 0.613323 + 0.466236i 0.865134 0.501540i \(-0.167233\pi\)
−0.251811 + 0.967776i \(0.581026\pi\)
\(410\) 62.0013 103.047i 0.151223 0.251334i
\(411\) 63.0790 288.514i 0.153477 0.701980i
\(412\) −546.620 −1.32675
\(413\) 16.9572 95.2198i 0.0410587 0.230556i
\(414\) 217.514 48.5239i 0.525396 0.117207i
\(415\) 204.065 + 68.7573i 0.491722 + 0.165680i
\(416\) −65.7895 + 109.343i −0.158148 + 0.262844i
\(417\) 50.0661 + 30.0274i 0.120062 + 0.0720081i
\(418\) −80.1400 + 201.136i −0.191723 + 0.481187i
\(419\) 466.560 396.300i 1.11351 0.945822i 0.114641 0.993407i \(-0.463428\pi\)
0.998867 + 0.0475846i \(0.0151524\pi\)
\(420\) −20.4447 33.8708i −0.0486777 0.0806446i
\(421\) 129.535 + 191.050i 0.307684 + 0.453800i 0.949823 0.312789i \(-0.101263\pi\)
−0.642139 + 0.766588i \(0.721953\pi\)
\(422\) 172.374 91.3868i 0.408469 0.216556i
\(423\) 264.026 + 139.022i 0.624174 + 0.328658i
\(424\) −87.7347 + 315.992i −0.206922 + 0.745264i
\(425\) 534.911 213.128i 1.25861 0.501478i
\(426\) 42.5422 107.214i 0.0998643 0.251675i
\(427\) 42.8604 4.66135i 0.100376 0.0109165i
\(428\) −15.9442 20.9742i −0.0372528 0.0490052i
\(429\) 195.324 78.1444i 0.455301 0.182155i
\(430\) 18.3130 + 8.47249i 0.0425883 + 0.0197035i
\(431\) −473.941 + 77.6987i −1.09963 + 0.180275i −0.684161 0.729331i \(-0.739831\pi\)
−0.415470 + 0.909607i \(0.636383\pi\)
\(432\) 241.493 146.701i 0.559012 0.339585i
\(433\) 329.207 198.077i 0.760293 0.457453i −0.0818927 0.996641i \(-0.526096\pi\)
0.842185 + 0.539188i \(0.181269\pi\)
\(434\) 5.61434 51.6230i 0.0129363 0.118947i
\(435\) −7.69733 + 14.5685i −0.0176950 + 0.0334907i
\(436\) 41.5749 253.596i 0.0953552 0.581641i
\(437\) 721.481 39.1176i 1.65099 0.0895139i
\(438\) 50.7200 66.9173i 0.115799 0.152779i
\(439\) −435.675 + 412.694i −0.992427 + 0.940077i −0.998204 0.0599065i \(-0.980920\pi\)
0.00577699 + 0.999983i \(0.498161\pi\)
\(440\) −183.721 9.96106i −0.417548 0.0226388i
\(441\) −416.813 + 1.17895i −0.945154 + 0.00267336i
\(442\) −86.8490 + 29.2628i −0.196491 + 0.0662055i
\(443\) −33.9925 100.886i −0.0767326 0.227734i 0.902421 0.430855i \(-0.141788\pi\)
−0.979154 + 0.203121i \(0.934892\pi\)
\(444\) 331.602 + 35.5894i 0.746851 + 0.0801564i
\(445\) 14.3124 263.977i 0.0321628 0.593207i
\(446\) 93.2365 + 98.4285i 0.209050 + 0.220692i
\(447\) 348.567 459.880i 0.779792 1.02882i
\(448\) −1.98628 36.6347i −0.00443365 0.0817739i
\(449\) 114.575 + 18.7836i 0.255178 + 0.0418343i 0.288013 0.957626i \(-0.407005\pi\)
−0.0328350 + 0.999461i \(0.510454\pi\)
\(450\) 114.735 + 45.3389i 0.254966 + 0.100753i
\(451\) −1165.35 126.740i −2.58394 0.281020i
\(452\) 27.5688 + 45.8197i 0.0609929 + 0.101371i
\(453\) 348.878 118.100i 0.770150 0.260707i
\(454\) 8.65431 + 52.7889i 0.0190624 + 0.116275i
\(455\) 7.14406 15.4416i 0.0157012 0.0339376i
\(456\) −293.638 + 117.477i −0.643942 + 0.257626i
\(457\) −204.200 + 155.229i −0.446828 + 0.339670i −0.804268 0.594266i \(-0.797443\pi\)
0.357440 + 0.933936i \(0.383649\pi\)
\(458\) 1.85192 + 17.0281i 0.00404349 + 0.0371793i
\(459\) 776.344 + 123.895i 1.69138 + 0.269924i
\(460\) 106.373 + 266.976i 0.231245 + 0.580382i
\(461\) −279.525 77.6097i −0.606345 0.168351i −0.0492315 0.998787i \(-0.515677\pi\)
−0.557113 + 0.830437i \(0.688091\pi\)
\(462\) 29.4820 43.6153i 0.0638138 0.0944054i
\(463\) 207.693 + 391.750i 0.448580 + 0.846112i 0.999930 + 0.0118378i \(0.00376817\pi\)
−0.551350 + 0.834274i \(0.685887\pi\)
\(464\) −20.8134 + 14.1118i −0.0448564 + 0.0304134i
\(465\) 161.938 + 268.283i 0.348253 + 0.576952i
\(466\) −84.2284 99.1613i −0.180748 0.212793i
\(467\) −174.141 69.3842i −0.372893 0.148574i 0.176160 0.984362i \(-0.443632\pi\)
−0.549053 + 0.835787i \(0.685012\pi\)
\(468\) 130.709 + 60.0241i 0.279292 + 0.128257i
\(469\) 57.2880 + 34.4691i 0.122149 + 0.0734948i
\(470\) 16.7727 49.7797i 0.0356866 0.105914i
\(471\) 36.8787 4.06358i 0.0782987 0.00862756i
\(472\) 4.22563 307.494i 0.00895260 0.651469i
\(473\) 196.681i 0.415815i
\(474\) 44.4592 203.350i 0.0937958 0.429008i
\(475\) 342.720 + 206.208i 0.721516 + 0.434122i
\(476\) 101.665 133.738i 0.213582 0.280962i
\(477\) 559.062 + 90.0305i 1.17204 + 0.188743i
\(478\) 1.48110 + 1.74369i 0.00309854 + 0.00364788i
\(479\) 176.743 + 382.023i 0.368982 + 0.797542i 0.999767 + 0.0215842i \(0.00687101\pi\)
−0.630785 + 0.775958i \(0.717267\pi\)
\(480\) −124.964 146.698i −0.260342 0.305622i
\(481\) 67.1819 + 126.719i 0.139671 + 0.263448i
\(482\) −57.1174 48.5160i −0.118501 0.100656i
\(483\) −173.410 28.1773i −0.359027 0.0583382i
\(484\) 153.070 + 384.177i 0.316261 + 0.793754i
\(485\) 258.477 + 137.036i 0.532942 + 0.282548i
\(486\) 102.880 + 133.368i 0.211688 + 0.274421i
\(487\) 260.179 197.783i 0.534248 0.406125i −0.302965 0.953002i \(-0.597977\pi\)
0.837213 + 0.546877i \(0.184183\pi\)
\(488\) 132.085 36.6733i 0.270666 0.0751501i
\(489\) 188.025 + 63.0569i 0.384508 + 0.128951i
\(490\) 11.8711 + 72.4105i 0.0242267 + 0.147777i
\(491\) −51.0592 231.964i −0.103990 0.472432i −0.999618 0.0276286i \(-0.991204\pi\)
0.895628 0.444804i \(-0.146727\pi\)
\(492\) −485.914 637.335i −0.987629 1.29540i
\(493\) −69.5547 7.56453i −0.141085 0.0153439i
\(494\) −52.6910 35.7254i −0.106662 0.0723186i
\(495\) 18.0970 + 317.182i 0.0365596 + 0.640771i
\(496\) 25.8919 + 477.547i 0.0522013 + 0.962797i
\(497\) −62.5315 + 66.0137i −0.125818 + 0.132824i
\(498\) −126.616 + 149.491i −0.254248 + 0.300183i
\(499\) −17.5478 + 323.650i −0.0351659 + 0.648596i 0.926821 + 0.375502i \(0.122530\pi\)
−0.961987 + 0.273094i \(0.911953\pi\)
\(500\) −77.4335 + 351.784i −0.154867 + 0.703567i
\(501\) −229.220 493.618i −0.457525 0.985265i
\(502\) 102.081 34.3950i 0.203348 0.0685159i
\(503\) 94.7242 430.336i 0.188318 0.855539i −0.783793 0.621022i \(-0.786718\pi\)
0.972112 0.234518i \(-0.0753510\pi\)
\(504\) 75.8508 12.6555i 0.150498 0.0251102i
\(505\) 2.05624 1.94778i 0.00407177 0.00385698i
\(506\) −262.987 + 277.632i −0.519738 + 0.548681i
\(507\) −72.6375 439.178i −0.143269 0.866229i
\(508\) 87.9115 536.237i 0.173054 1.05558i
\(509\) 694.064 + 470.587i 1.36358 + 0.924532i 0.999975 0.00702048i \(-0.00223471\pi\)
0.363607 + 0.931552i \(0.381545\pi\)
\(510\) −0.195730 138.399i −0.000383784 0.271370i
\(511\) −56.7173 + 34.1257i −0.110993 + 0.0667822i
\(512\) −110.128 500.315i −0.215093 0.977177i
\(513\) 257.841 + 481.393i 0.502614 + 0.938389i
\(514\) −309.227 143.064i −0.601608 0.278334i
\(515\) 342.060 94.9724i 0.664193 0.184412i
\(516\) 97.4929 92.6121i 0.188940 0.179481i
\(517\) −509.019 + 55.3592i −0.984563 + 0.107078i
\(518\) 31.7103 + 16.8117i 0.0612168 + 0.0324551i
\(519\) −375.841 + 199.940i −0.724165 + 0.385241i
\(520\) 14.4727 52.1260i 0.0278321 0.100242i
\(521\) 15.4160 + 13.0945i 0.0295893 + 0.0251333i 0.662059 0.749452i \(-0.269683\pi\)
−0.632470 + 0.774585i \(0.717959\pi\)
\(522\) −9.73668 11.3974i −0.0186527 0.0218341i
\(523\) −183.776 271.050i −0.351389 0.518260i 0.610385 0.792105i \(-0.291015\pi\)
−0.961774 + 0.273845i \(0.911704\pi\)
\(524\) −22.8010 49.2835i −0.0435133 0.0940525i
\(525\) −70.6996 66.7807i −0.134666 0.127201i
\(526\) 94.5730 237.360i 0.179797 0.451255i
\(527\) −805.265 + 1059.31i −1.52802 + 2.01007i
\(528\) −202.963 + 440.331i −0.384400 + 0.833961i
\(529\) 708.071 + 238.577i 1.33851 + 0.450996i
\(530\) 99.6867i 0.188088i
\(531\) −528.482 + 51.6472i −0.995259 + 0.0972639i
\(532\) 116.693 0.219348
\(533\) 110.052 326.622i 0.206476 0.612799i
\(534\) 218.424 + 100.679i 0.409033 + 0.188537i
\(535\) 13.6216 + 10.3549i 0.0254609 + 0.0193549i
\(536\) 197.483 + 78.6845i 0.368439 + 0.146799i
\(537\) −516.786 + 547.112i −0.962357 + 1.01883i
\(538\) 126.707 58.6209i 0.235515 0.108961i
\(539\) 591.988 401.378i 1.09831 0.744671i
\(540\) −148.703 + 158.324i −0.275376 + 0.293192i
\(541\) 565.152 665.348i 1.04464 1.22985i 0.0720344 0.997402i \(-0.477051\pi\)
0.972609 0.232447i \(-0.0746733\pi\)
\(542\) 94.2724 + 26.1746i 0.173934 + 0.0482926i
\(543\) −441.969 830.801i −0.813940 1.53002i
\(544\) 383.292 722.965i 0.704581 1.32898i
\(545\) 18.0445 + 165.916i 0.0331091 + 0.304434i
\(546\) 10.6607 + 11.2225i 0.0195251 + 0.0205541i
\(547\) 239.437 + 862.376i 0.437728 + 1.57656i 0.772982 + 0.634427i \(0.218764\pi\)
−0.335254 + 0.942128i \(0.608822\pi\)
\(548\) −145.480 + 314.450i −0.265475 + 0.573814i
\(549\) −88.2331 219.640i −0.160716 0.400072i
\(550\) −206.743 + 45.5076i −0.375897 + 0.0827411i
\(551\) −25.0558 41.6431i −0.0454733 0.0755773i
\(552\) −558.602 + 0.790000i −1.01196 + 0.00143116i
\(553\) −92.0852 + 135.815i −0.166519 + 0.245598i
\(554\) 46.5158 + 7.62587i 0.0839635 + 0.0137651i
\(555\) −213.691 + 35.3432i −0.385028 + 0.0636814i
\(556\) −49.7236 47.1007i −0.0894310 0.0847136i
\(557\) 18.0172 + 19.0205i 0.0323469 + 0.0341482i 0.741968 0.670435i \(-0.233893\pi\)
−0.709621 + 0.704583i \(0.751134\pi\)
\(558\) −281.204 + 46.9182i −0.503950 + 0.0840828i
\(559\) 56.4770 + 12.4315i 0.101032 + 0.0222389i
\(560\) 12.5207 + 37.1601i 0.0223584 + 0.0663573i
\(561\) −1223.53 + 568.169i −2.18099 + 1.01278i
\(562\) 249.564 + 54.9332i 0.444064 + 0.0977459i
\(563\) −677.384 36.7267i −1.20317 0.0652339i −0.558374 0.829589i \(-0.688575\pi\)
−0.644795 + 0.764355i \(0.723057\pi\)
\(564\) −267.126 226.249i −0.473627 0.401151i
\(565\) −25.2127 23.8827i −0.0446242 0.0422703i
\(566\) −246.015 + 13.3385i −0.434655 + 0.0235663i
\(567\) −36.2462 127.739i −0.0639263 0.225290i
\(568\) −162.247 + 239.297i −0.285647 + 0.421298i
\(569\) 14.3857 132.274i 0.0252824 0.232468i −0.974678 0.223611i \(-0.928215\pi\)
0.999961 0.00885630i \(-0.00281908\pi\)
\(570\) 76.4511 58.2874i 0.134125 0.102259i
\(571\) 436.671 96.1185i 0.764747 0.168334i 0.184565 0.982820i \(-0.440912\pi\)
0.580182 + 0.814487i \(0.302981\pi\)
\(572\) −243.556 + 39.9291i −0.425798 + 0.0698061i
\(573\) 25.2997 75.4391i 0.0441530 0.131656i
\(574\) −23.0741 83.1055i −0.0401988 0.144783i
\(575\) 427.526 + 562.401i 0.743524 + 0.978088i
\(576\) −190.700 + 64.8556i −0.331077 + 0.112596i
\(577\) −100.108 + 188.823i −0.173497 + 0.327250i −0.954977 0.296680i \(-0.904120\pi\)
0.781480 + 0.623931i \(0.214465\pi\)
\(578\) 359.840 143.374i 0.622561 0.248051i
\(579\) 24.1529 148.642i 0.0417148 0.256722i
\(580\) 12.5142 14.7328i 0.0215762 0.0254014i
\(581\) 136.446 72.3389i 0.234846 0.124508i
\(582\) −202.611 + 172.593i −0.348129 + 0.296552i
\(583\) −881.871 + 407.997i −1.51264 + 0.699823i
\(584\) −160.408 + 136.251i −0.274670 + 0.233307i
\(585\) −92.2228 14.8514i −0.157646 0.0253870i
\(586\) −16.1974 12.3129i −0.0276406 0.0210118i
\(587\) 322.125 535.376i 0.548765 0.912054i −0.451044 0.892502i \(-0.648948\pi\)
0.999809 0.0195523i \(-0.00622408\pi\)
\(588\) 477.713 + 104.444i 0.812436 + 0.177626i
\(589\) −924.300 −1.56927
\(590\) 23.7682 + 90.4065i 0.0402850 + 0.153231i
\(591\) 37.2985 + 338.499i 0.0631108 + 0.572757i
\(592\) −313.253 105.547i −0.529143 0.178289i
\(593\) 57.0013 94.7370i 0.0961237 0.159759i −0.805064 0.593188i \(-0.797869\pi\)
0.901188 + 0.433429i \(0.142697\pi\)
\(594\) −274.290 91.1249i −0.461767 0.153409i
\(595\) −40.3828 + 101.353i −0.0678702 + 0.170341i
\(596\) −515.971 + 438.270i −0.865723 + 0.735352i
\(597\) 781.440 471.683i 1.30894 0.790089i
\(598\) −63.0998 93.0652i −0.105518 0.155627i
\(599\) −711.046 + 376.973i −1.18706 + 0.629337i −0.940501 0.339792i \(-0.889643\pi\)
−0.246554 + 0.969129i \(0.579298\pi\)
\(600\) −256.186 173.170i −0.426976 0.288616i
\(601\) 267.374 962.995i 0.444882 1.60232i −0.312882 0.949792i \(-0.601294\pi\)
0.757764 0.652529i \(-0.226292\pi\)
\(602\) 13.4434 5.35636i 0.0223313 0.00889760i
\(603\) 97.1995 353.962i 0.161193 0.587001i
\(604\) −429.577 + 46.7193i −0.711220 + 0.0773498i
\(605\) −162.536 213.812i −0.268654 0.353408i
\(606\) 0.957133 + 2.39238i 0.00157943 + 0.00394782i
\(607\) 133.364 + 61.7008i 0.219710 + 0.101649i 0.526657 0.850078i \(-0.323445\pi\)
−0.306947 + 0.951727i \(0.599307\pi\)
\(608\) 560.919 91.9580i 0.922564 0.151247i
\(609\) 3.78900 + 11.1930i 0.00622167 + 0.0183793i
\(610\) −35.7046 + 21.4827i −0.0585321 + 0.0352176i
\(611\) 16.2770 149.664i 0.0266399 0.244950i
\(612\) −857.769 338.958i −1.40158 0.553853i
\(613\) 21.4203 130.658i 0.0349434 0.213146i −0.963583 0.267409i \(-0.913833\pi\)
0.998527 + 0.0542630i \(0.0172809\pi\)
\(614\) −224.241 + 12.1580i −0.365213 + 0.0198013i
\(615\) 414.805 + 314.402i 0.674479 + 0.511222i
\(616\) −95.7986 + 90.7453i −0.155517 + 0.147314i
\(617\) 1092.61 + 59.2396i 1.77084 + 0.0960123i 0.910450 0.413619i \(-0.135735\pi\)
0.860393 + 0.509631i \(0.170218\pi\)
\(618\) −34.4647 + 321.122i −0.0557681 + 0.519615i
\(619\) 45.0329 15.1733i 0.0727510 0.0245127i −0.282691 0.959211i \(-0.591227\pi\)
0.355442 + 0.934698i \(0.384330\pi\)
\(620\) −117.387 348.391i −0.189333 0.561921i
\(621\) 108.352 + 958.435i 0.174481 + 1.54337i
\(622\) 9.99961 184.432i 0.0160765 0.296514i
\(623\) −130.386 137.647i −0.209288 0.220942i
\(624\) −113.613 86.1130i −0.182072 0.138002i
\(625\) 14.1006 + 260.070i 0.0225610 + 0.416113i
\(626\) 316.737 + 51.9264i 0.505970 + 0.0829496i
\(627\) −828.533 437.760i −1.32142 0.698183i
\(628\) −43.2719 4.70610i −0.0689043 0.00749379i
\(629\) −474.159 788.058i −0.753830 1.25287i
\(630\) −21.1870 + 9.87502i −0.0336302 + 0.0156746i
\(631\) −22.9844 140.199i −0.0364253 0.222185i 0.962341 0.271846i \(-0.0876341\pi\)
−0.998766 + 0.0496613i \(0.984186\pi\)
\(632\) −219.072 + 473.516i −0.346633 + 0.749234i
\(633\) 313.652 + 783.980i 0.495501 + 1.23852i
\(634\) 48.4933 36.8637i 0.0764879 0.0581446i
\(635\) 38.1557 + 350.836i 0.0600877 + 0.552497i
\(636\) −617.492 245.020i −0.970900 0.385252i
\(637\) 77.8383 + 195.360i 0.122195 + 0.306687i
\(638\) 24.7846 + 6.88142i 0.0388474 + 0.0107859i
\(639\) 441.722 + 232.588i 0.691271 + 0.363988i
\(640\) 136.965 + 258.343i 0.214007 + 0.403660i
\(641\) 781.859 530.114i 1.21975 0.827011i 0.230475 0.973078i \(-0.425972\pi\)
0.989275 + 0.146068i \(0.0466618\pi\)
\(642\) −13.3270 + 8.04427i −0.0207585 + 0.0125300i
\(643\) 134.099 + 157.873i 0.208552 + 0.245526i 0.856486 0.516170i \(-0.172643\pi\)
−0.647934 + 0.761696i \(0.724367\pi\)
\(644\) 191.470 + 76.2886i 0.297314 + 0.118461i
\(645\) −44.9174 + 74.8929i −0.0696394 + 0.116113i
\(646\) 349.784 + 210.458i 0.541461 + 0.325787i
\(647\) −299.620 + 889.240i −0.463091 + 1.37440i 0.420988 + 0.907066i \(0.361683\pi\)
−0.884079 + 0.467338i \(0.845213\pi\)
\(648\) −179.439 382.162i −0.276911 0.589756i
\(649\) 702.496 580.278i 1.08243 0.894111i
\(650\) 62.2428i 0.0957582i
\(651\) 219.555 + 48.0023i 0.337259 + 0.0737363i
\(652\) −199.356 119.949i −0.305761 0.183971i
\(653\) −192.177 + 252.805i −0.294299 + 0.387144i −0.919350 0.393440i \(-0.871285\pi\)
0.625051 + 0.780584i \(0.285078\pi\)
\(654\) −146.358 40.4132i −0.223789 0.0617939i
\(655\) 22.8309 + 26.8787i 0.0348564 + 0.0410361i
\(656\) 333.540 + 720.934i 0.508445 + 1.09899i
\(657\) 264.539 + 249.169i 0.402646 + 0.379252i
\(658\) −17.6464 33.2847i −0.0268182 0.0505846i
\(659\) −1.74205 1.47971i −0.00264348 0.00224539i 0.646064 0.763284i \(-0.276414\pi\)
−0.648707 + 0.761038i \(0.724690\pi\)
\(660\) 59.7783 367.890i 0.0905732 0.557409i
\(661\) −379.977 953.669i −0.574851 1.44277i −0.872749 0.488170i \(-0.837665\pi\)
0.297898 0.954598i \(-0.403715\pi\)
\(662\) −265.222 140.612i −0.400638 0.212405i
\(663\) −85.8147 387.251i −0.129434 0.584088i
\(664\) 390.914 297.165i 0.588726 0.447537i
\(665\) −73.0232 + 20.2748i −0.109809 + 0.0304884i
\(666\) 41.8153 192.562i 0.0627858 0.289132i
\(667\) −13.8872 84.7083i −0.0208204 0.126999i
\(668\) 137.257 + 623.565i 0.205475 + 0.933481i
\(669\) −466.627 + 355.763i −0.697500 + 0.531784i
\(670\) −64.2403 6.98655i −0.0958810 0.0104277i
\(671\) 336.176 + 227.933i 0.501008 + 0.339692i
\(672\) −138.015 7.28719i −0.205379 0.0108440i
\(673\) −24.0333 443.269i −0.0357108 0.658646i −0.960519 0.278213i \(-0.910258\pi\)
0.924809 0.380433i \(-0.124225\pi\)
\(674\) 125.412 132.396i 0.186071 0.196433i
\(675\) −248.096 + 472.796i −0.367550 + 0.700438i
\(676\) −28.2731 + 521.467i −0.0418241 + 0.771400i
\(677\) 4.33656 19.7012i 0.00640556 0.0291007i −0.973309 0.229497i \(-0.926292\pi\)
0.979715 + 0.200396i \(0.0642229\pi\)
\(678\) 28.6558 13.3068i 0.0422652 0.0196266i
\(679\) 198.833 66.9945i 0.292831 0.0986664i
\(680\) −74.5729 + 338.788i −0.109666 + 0.498218i
\(681\) −231.163 + 12.8612i −0.339446 + 0.0188857i
\(682\) 355.157 336.423i 0.520759 0.493289i
\(683\) 86.6570 91.4827i 0.126877 0.133942i −0.659461 0.751738i \(-0.729216\pi\)
0.786338 + 0.617796i \(0.211974\pi\)
\(684\) −173.142 616.828i −0.253132 0.901795i
\(685\) 36.4033 222.050i 0.0531435 0.324161i
\(686\) 89.6412 + 60.7782i 0.130672 + 0.0885980i
\(687\) −74.1321 + 0.104841i −0.107907 + 0.000152607i
\(688\) −114.201 + 68.7127i −0.165990 + 0.0998731i
\(689\) −61.4165 279.018i −0.0891386 0.404961i
\(690\) 163.547 45.6577i 0.237024 0.0661706i
\(691\) −264.573 122.404i −0.382884 0.177141i 0.218999 0.975725i \(-0.429721\pi\)
−0.601883 + 0.798584i \(0.705583\pi\)
\(692\) 481.233 133.614i 0.695424 0.193084i
\(693\) 174.073 + 147.013i 0.251187 + 0.212140i
\(694\) −311.420 + 33.8690i −0.448732 + 0.0488025i
\(695\) 39.2992 + 20.8351i 0.0565455 + 0.0299786i
\(696\) 17.6464 + 33.1712i 0.0253540 + 0.0476598i
\(697\) −591.272 + 2129.57i −0.848310 + 3.05534i
\(698\) 26.6234 + 22.6142i 0.0381425 + 0.0323985i
\(699\) 465.620 316.660i 0.666123 0.453019i
\(700\) 64.0284 + 94.4348i 0.0914691 + 0.134907i
\(701\) −544.226 1176.33i −0.776357 1.67807i −0.734176 0.678959i \(-0.762431\pi\)
−0.0421810 0.999110i \(-0.513431\pi\)
\(702\) 43.5035 73.0028i 0.0619708 0.103993i
\(703\) 236.466 593.484i 0.336367 0.844216i
\(704\) 209.171 275.159i 0.297117 0.390851i
\(705\) 206.469 + 95.1686i 0.292864 + 0.134991i
\(706\) 71.5392 + 24.1044i 0.101330 + 0.0341422i
\(707\) 2.03128i 0.00287310i
\(708\) 618.427 + 74.9823i 0.873485 + 0.105907i
\(709\) −1142.59 −1.61155 −0.805776 0.592220i \(-0.798252\pi\)
−0.805776 + 0.592220i \(0.798252\pi\)
\(710\) 28.0612 83.2827i 0.0395228 0.117300i
\(711\) 854.537 + 285.238i 1.20188 + 0.401179i
\(712\) −479.918 364.824i −0.674042 0.512393i
\(713\) −1516.59 604.265i −2.12706 0.847497i
\(714\) −72.1568 68.1572i −0.101060 0.0954582i
\(715\) 145.473 67.3031i 0.203459 0.0941302i
\(716\) 730.788 495.487i 1.02065 0.692020i
\(717\) −8.18762 + 5.56826i −0.0114193 + 0.00776606i
\(718\) 7.12265 8.38543i 0.00992012 0.0116789i
\(719\) 805.502 + 223.646i 1.12031 + 0.311052i 0.777831 0.628474i \(-0.216320\pi\)
0.342478 + 0.939526i \(0.388734\pi\)
\(720\) 177.847 121.319i 0.247010 0.168499i
\(721\) 119.256 224.941i 0.165404 0.311985i
\(722\) 3.60354 + 33.1340i 0.00499105 + 0.0458920i
\(723\) 235.158 223.385i 0.325253 0.308970i
\(724\) 295.355 + 1063.77i 0.407948 + 1.46930i
\(725\) 19.9521 43.1258i 0.0275201 0.0594838i
\(726\) 235.343 65.7013i 0.324164 0.0904976i
\(727\) −869.244 + 191.335i −1.19566 + 0.263184i −0.767817 0.640669i \(-0.778657\pi\)
−0.427842 + 0.903854i \(0.640726\pi\)
\(728\) −20.0025 33.2443i −0.0274759 0.0456653i
\(729\) −621.437 + 381.126i −0.852452 + 0.522806i
\(730\) 35.9022 52.9517i 0.0491810 0.0725366i
\(731\) −365.939 59.9926i −0.500600 0.0820692i
\(732\) 45.3128 + 273.968i 0.0619027 + 0.374273i
\(733\) 941.871 + 892.188i 1.28495 + 1.21717i 0.962716 + 0.270514i \(0.0871937\pi\)
0.322238 + 0.946659i \(0.395565\pi\)
\(734\) 158.221 + 167.032i 0.215561 + 0.227565i
\(735\) −317.086 + 17.6417i −0.431409 + 0.0240023i
\(736\) 980.473 + 215.819i 1.33217 + 0.293232i
\(737\) 201.116 + 596.891i 0.272885 + 0.809893i
\(738\) −405.051 + 245.274i −0.548850 + 0.332350i
\(739\) 222.322 + 48.9367i 0.300841 + 0.0662201i 0.362826 0.931857i \(-0.381812\pi\)
−0.0619847 + 0.998077i \(0.519743\pi\)
\(740\) 253.730 + 13.7568i 0.342878 + 0.0185903i
\(741\) 178.072 210.244i 0.240313 0.283731i
\(742\) −51.9039 49.1660i −0.0699514 0.0662615i
\(743\) 956.916 51.8825i 1.28791 0.0698283i 0.602577 0.798060i \(-0.294140\pi\)
0.685331 + 0.728232i \(0.259658\pi\)
\(744\) 713.590 + 37.6776i 0.959126 + 0.0506420i
\(745\) 246.733 363.904i 0.331185 0.488462i
\(746\) 32.0532 294.725i 0.0429668 0.395073i
\(747\) −584.826 613.906i −0.782899 0.821828i
\(748\) 1545.63 340.220i 2.06636 0.454839i
\(749\) 12.1097 1.98528i 0.0161678 0.00265058i
\(750\) 201.780 + 67.6698i 0.269039 + 0.0902264i
\(751\) 114.198 + 411.304i 0.152061 + 0.547675i 0.999850 + 0.0173406i \(0.00551996\pi\)
−0.847788 + 0.530335i \(0.822066\pi\)
\(752\) 209.976 + 276.218i 0.279223 + 0.367312i
\(753\) 100.865 + 455.167i 0.133951 + 0.604472i
\(754\) −3.54256 + 6.68197i −0.00469835 + 0.00886204i
\(755\) 260.700 103.872i 0.345298 0.137579i
\(756\) 9.09346 + 155.511i 0.0120284 + 0.205703i
\(757\) 224.518 264.323i 0.296589 0.349171i −0.593603 0.804758i \(-0.702295\pi\)
0.890191 + 0.455587i \(0.150571\pi\)
\(758\) 16.4726 8.73321i 0.0217316 0.0115214i
\(759\) −1073.27 1259.93i −1.41406 1.65999i
\(760\) −218.695 + 101.179i −0.287757 + 0.133131i
\(761\) −200.026 + 169.904i −0.262846 + 0.223264i −0.769112 0.639114i \(-0.779301\pi\)
0.506266 + 0.862377i \(0.331025\pi\)
\(762\) −309.479 85.4552i −0.406141 0.112146i
\(763\) 95.2874 + 72.4356i 0.124885 + 0.0949352i
\(764\) −48.1258 + 79.9857i −0.0629919 + 0.104693i
\(765\) 595.660 + 63.0777i 0.778640 + 0.0824545i
\(766\) −421.677 −0.550493
\(767\) 122.225 + 238.400i 0.159354 + 0.310821i
\(768\) 2.53438 0.279257i 0.00329997 0.000363616i
\(769\) 29.6343 + 9.98496i 0.0385362 + 0.0129843i 0.338504 0.940965i \(-0.390079\pi\)
−0.299967 + 0.953949i \(0.596976\pi\)
\(770\) 20.6792 34.3692i 0.0268562 0.0446353i
\(771\) 758.460 1264.62i 0.983735 1.64023i
\(772\) −65.3925 + 164.123i −0.0847054 + 0.212594i
\(773\) −507.866 + 431.386i −0.657007 + 0.558067i −0.912669 0.408699i \(-0.865982\pi\)
0.255662 +