Properties

Label 225.2.q.a.16.1
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.1
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.53861 + 1.13026i) q^{2} +(1.12291 - 1.31874i) q^{3} +(3.82877 - 4.25228i) q^{4} +(1.17441 + 1.90283i) q^{5} +(-1.36012 + 4.61694i) q^{6} +(-0.665971 + 1.15350i) q^{7} +(-3.19614 + 9.83670i) q^{8} +(-0.478132 - 2.96165i) q^{9} +O(q^{10})\) \(q+(-2.53861 + 1.13026i) q^{2} +(1.12291 - 1.31874i) q^{3} +(3.82877 - 4.25228i) q^{4} +(1.17441 + 1.90283i) q^{5} +(-1.36012 + 4.61694i) q^{6} +(-0.665971 + 1.15350i) q^{7} +(-3.19614 + 9.83670i) q^{8} +(-0.478132 - 2.96165i) q^{9} +(-5.13206 - 3.50315i) q^{10} +(1.76824 - 0.787270i) q^{11} +(-1.30826 - 9.82409i) q^{12} +(3.99834 + 1.78018i) q^{13} +(0.386888 - 3.68099i) q^{14} +(3.82809 + 0.587979i) q^{15} +(-1.80807 - 17.2027i) q^{16} +(0.413167 - 1.27160i) q^{17} +(4.56123 + 6.97806i) q^{18} +(-0.593455 + 1.82647i) q^{19} +(12.5879 + 2.29159i) q^{20} +(0.773329 + 2.17351i) q^{21} +(-3.59904 + 3.99714i) q^{22} +(0.0712526 - 0.677923i) q^{23} +(9.38303 + 15.2606i) q^{24} +(-2.24153 + 4.46940i) q^{25} -12.1623 q^{26} +(-4.44254 - 2.69515i) q^{27} +(2.35514 + 7.24837i) q^{28} +(3.36698 + 0.715675i) q^{29} +(-10.3826 + 2.83409i) q^{30} +(8.56171 - 1.81985i) q^{31} +(13.6905 + 23.7127i) q^{32} +(0.947376 - 3.21588i) q^{33} +(0.388368 + 3.69507i) q^{34} +(-2.97703 + 0.0874443i) q^{35} +(-14.4245 - 9.30635i) q^{36} +(1.12934 - 0.820511i) q^{37} +(-0.557835 - 5.30744i) q^{38} +(6.83738 - 3.27378i) q^{39} +(-22.4712 + 5.47059i) q^{40} +(1.65794 + 0.738164i) q^{41} +(-4.41982 - 4.64364i) q^{42} +(0.906455 - 1.57003i) q^{43} +(3.42249 - 10.5333i) q^{44} +(5.07400 - 4.38799i) q^{45} +(0.585348 + 1.80151i) q^{46} +(-4.43516 - 0.942722i) q^{47} +(-24.7161 - 16.9327i) q^{48} +(2.61297 + 4.52579i) q^{49} +(0.638779 - 13.8796i) q^{50} +(-1.21295 - 1.97275i) q^{51} +(22.8786 - 10.1862i) q^{52} +(-1.29321 - 3.98009i) q^{53} +(14.3241 + 1.82070i) q^{54} +(3.57468 + 2.44008i) q^{55} +(-9.21805 - 10.2377i) q^{56} +(1.74223 + 2.83358i) q^{57} +(-9.35635 + 1.98875i) q^{58} +(-11.4434 - 5.09492i) q^{59} +(17.1572 - 14.0269i) q^{60} +(-7.41443 + 3.30112i) q^{61} +(-19.6779 + 14.2968i) q^{62} +(3.73467 + 1.42085i) q^{63} +(-33.5687 - 24.3891i) q^{64} +(1.30831 + 9.69883i) q^{65} +(1.22976 + 9.23463i) q^{66} +(-5.18481 + 1.10207i) q^{67} +(-3.82527 - 6.62556i) q^{68} +(-0.813992 - 0.855212i) q^{69} +(7.45867 - 3.58680i) q^{70} +(-0.998557 - 3.07324i) q^{71} +(30.6611 + 4.76261i) q^{72} +(0.916492 + 0.665871i) q^{73} +(-1.93955 + 3.35940i) q^{74} +(3.37692 + 7.97474i) q^{75} +(5.49445 + 9.51667i) q^{76} +(-0.269482 + 2.56395i) q^{77} +(-13.6572 + 16.0389i) q^{78} +(-10.3069 - 2.19081i) q^{79} +(30.6103 - 23.6434i) q^{80} +(-8.54278 + 2.83212i) q^{81} -5.04319 q^{82} +(-6.90004 - 7.66327i) q^{83} +(12.2033 + 5.03348i) q^{84} +(2.90486 - 0.707187i) q^{85} +(-0.526594 + 5.01021i) q^{86} +(4.72462 - 3.63652i) q^{87} +(2.09261 + 19.9099i) q^{88} +(13.1208 + 9.53280i) q^{89} +(-7.92132 + 16.8743i) q^{90} +(-4.71621 + 3.42652i) q^{91} +(-2.60991 - 2.89860i) q^{92} +(7.21416 - 13.3342i) q^{93} +(12.3246 - 2.61968i) q^{94} +(-4.17242 + 1.01577i) q^{95} +(46.6441 + 8.57310i) q^{96} +(-17.6272 - 3.74678i) q^{97} +(-11.7486 - 8.53587i) q^{98} +(-3.17707 - 4.86049i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.53861 + 1.13026i −1.79507 + 0.799215i −0.821714 + 0.569901i \(0.806982\pi\)
−0.973352 + 0.229314i \(0.926352\pi\)
\(3\) 1.12291 1.31874i 0.648314 0.761373i
\(4\) 3.82877 4.25228i 1.91439 2.12614i
\(5\) 1.17441 + 1.90283i 0.525211 + 0.850972i
\(6\) −1.36012 + 4.61694i −0.555266 + 1.88486i
\(7\) −0.665971 + 1.15350i −0.251713 + 0.435980i −0.963998 0.265911i \(-0.914327\pi\)
0.712284 + 0.701891i \(0.247661\pi\)
\(8\) −3.19614 + 9.83670i −1.13001 + 3.47780i
\(9\) −0.478132 2.96165i −0.159377 0.987218i
\(10\) −5.13206 3.50315i −1.62290 1.10779i
\(11\) 1.76824 0.787270i 0.533144 0.237371i −0.122463 0.992473i \(-0.539079\pi\)
0.655607 + 0.755102i \(0.272413\pi\)
\(12\) −1.30826 9.82409i −0.377663 2.83597i
\(13\) 3.99834 + 1.78018i 1.10894 + 0.493733i 0.877723 0.479169i \(-0.159062\pi\)
0.231219 + 0.972902i \(0.425729\pi\)
\(14\) 0.386888 3.68099i 0.103400 0.983786i
\(15\) 3.82809 + 0.587979i 0.988409 + 0.151816i
\(16\) −1.80807 17.2027i −0.452018 4.30066i
\(17\) 0.413167 1.27160i 0.100208 0.308408i −0.888368 0.459132i \(-0.848161\pi\)
0.988576 + 0.150724i \(0.0481605\pi\)
\(18\) 4.56123 + 6.97806i 1.07509 + 1.64474i
\(19\) −0.593455 + 1.82647i −0.136148 + 0.419020i −0.995767 0.0919155i \(-0.970701\pi\)
0.859619 + 0.510936i \(0.170701\pi\)
\(20\) 12.5879 + 2.29159i 2.81474 + 0.512416i
\(21\) 0.773329 + 2.17351i 0.168754 + 0.474300i
\(22\) −3.59904 + 3.99714i −0.767318 + 0.852193i
\(23\) 0.0712526 0.677923i 0.0148572 0.141357i −0.984579 0.174943i \(-0.944026\pi\)
0.999436 + 0.0335858i \(0.0106927\pi\)
\(24\) 9.38303 + 15.2606i 1.91530 + 3.11506i
\(25\) −2.24153 + 4.46940i −0.448306 + 0.893880i
\(26\) −12.1623 −2.38522
\(27\) −4.44254 2.69515i −0.854967 0.518682i
\(28\) 2.35514 + 7.24837i 0.445079 + 1.36981i
\(29\) 3.36698 + 0.715675i 0.625233 + 0.132897i 0.509624 0.860397i \(-0.329785\pi\)
0.115609 + 0.993295i \(0.463118\pi\)
\(30\) −10.3826 + 2.83409i −1.89559 + 0.517432i
\(31\) 8.56171 1.81985i 1.53773 0.326854i 0.640339 0.768093i \(-0.278794\pi\)
0.897390 + 0.441238i \(0.145461\pi\)
\(32\) 13.6905 + 23.7127i 2.42017 + 4.19186i
\(33\) 0.947376 3.21588i 0.164917 0.559812i
\(34\) 0.388368 + 3.69507i 0.0666045 + 0.633700i
\(35\) −2.97703 + 0.0874443i −0.503209 + 0.0147808i
\(36\) −14.4245 9.30635i −2.40408 1.55106i
\(37\) 1.12934 0.820511i 0.185662 0.134891i −0.491072 0.871119i \(-0.663395\pi\)
0.676734 + 0.736228i \(0.263395\pi\)
\(38\) −0.557835 5.30744i −0.0904927 0.860981i
\(39\) 6.83738 3.27378i 1.09486 0.524224i
\(40\) −22.4712 + 5.47059i −3.55300 + 0.864977i
\(41\) 1.65794 + 0.738164i 0.258927 + 0.115282i 0.532095 0.846684i \(-0.321405\pi\)
−0.273168 + 0.961966i \(0.588071\pi\)
\(42\) −4.41982 4.64364i −0.681992 0.716529i
\(43\) 0.906455 1.57003i 0.138233 0.239427i −0.788595 0.614913i \(-0.789191\pi\)
0.926828 + 0.375486i \(0.122524\pi\)
\(44\) 3.42249 10.5333i 0.515959 1.58796i
\(45\) 5.07400 4.38799i 0.756388 0.654124i
\(46\) 0.585348 + 1.80151i 0.0863048 + 0.265619i
\(47\) −4.43516 0.942722i −0.646934 0.137510i −0.127253 0.991870i \(-0.540616\pi\)
−0.519681 + 0.854360i \(0.673949\pi\)
\(48\) −24.7161 16.9327i −3.56746 2.44403i
\(49\) 2.61297 + 4.52579i 0.373281 + 0.646541i
\(50\) 0.638779 13.8796i 0.0903370 1.96287i
\(51\) −1.21295 1.97275i −0.169847 0.276241i
\(52\) 22.8786 10.1862i 3.17269 1.41257i
\(53\) −1.29321 3.98009i −0.177636 0.546708i 0.822108 0.569332i \(-0.192798\pi\)
−0.999744 + 0.0226238i \(0.992798\pi\)
\(54\) 14.3241 + 1.82070i 1.94926 + 0.247765i
\(55\) 3.57468 + 2.44008i 0.482009 + 0.329021i
\(56\) −9.21805 10.2377i −1.23181 1.36807i
\(57\) 1.74223 + 2.83358i 0.230764 + 0.375316i
\(58\) −9.35635 + 1.98875i −1.22855 + 0.261136i
\(59\) −11.4434 5.09492i −1.48980 0.663303i −0.509439 0.860507i \(-0.670147\pi\)
−0.980362 + 0.197204i \(0.936814\pi\)
\(60\) 17.1572 14.0269i 2.21498 1.81086i
\(61\) −7.41443 + 3.30112i −0.949320 + 0.422665i −0.822185 0.569221i \(-0.807245\pi\)
−0.127136 + 0.991885i \(0.540578\pi\)
\(62\) −19.6779 + 14.2968i −2.49910 + 1.81570i
\(63\) 3.73467 + 1.42085i 0.470525 + 0.179010i
\(64\) −33.5687 24.3891i −4.19608 3.04863i
\(65\) 1.30831 + 9.69883i 0.162276 + 1.20299i
\(66\) 1.22976 + 9.23463i 0.151373 + 1.13670i
\(67\) −5.18481 + 1.10207i −0.633425 + 0.134639i −0.513424 0.858135i \(-0.671623\pi\)
−0.120001 + 0.992774i \(0.538290\pi\)
\(68\) −3.82527 6.62556i −0.463882 0.803468i
\(69\) −0.813992 0.855212i −0.0979931 0.102955i
\(70\) 7.45867 3.58680i 0.891481 0.428705i
\(71\) −0.998557 3.07324i −0.118507 0.364727i 0.874155 0.485646i \(-0.161416\pi\)
−0.992662 + 0.120920i \(0.961416\pi\)
\(72\) 30.6611 + 4.76261i 3.61344 + 0.561279i
\(73\) 0.916492 + 0.665871i 0.107267 + 0.0779343i 0.640126 0.768270i \(-0.278882\pi\)
−0.532859 + 0.846204i \(0.678882\pi\)
\(74\) −1.93955 + 3.35940i −0.225468 + 0.390522i
\(75\) 3.37692 + 7.97474i 0.389933 + 0.920843i
\(76\) 5.49445 + 9.51667i 0.630257 + 1.09164i
\(77\) −0.269482 + 2.56395i −0.0307104 + 0.292190i
\(78\) −13.6572 + 16.0389i −1.54637 + 1.81604i
\(79\) −10.3069 2.19081i −1.15962 0.246485i −0.412363 0.911019i \(-0.635297\pi\)
−0.747258 + 0.664534i \(0.768630\pi\)
\(80\) 30.6103 23.6434i 3.42234 2.64341i
\(81\) −8.54278 + 2.83212i −0.949198 + 0.314680i
\(82\) −5.04319 −0.556927
\(83\) −6.90004 7.66327i −0.757378 0.841153i 0.233993 0.972238i \(-0.424821\pi\)
−0.991371 + 0.131085i \(0.958154\pi\)
\(84\) 12.2033 + 5.03348i 1.33149 + 0.549198i
\(85\) 2.90486 0.707187i 0.315076 0.0767052i
\(86\) −0.526594 + 5.01021i −0.0567841 + 0.540265i
\(87\) 4.72462 3.63652i 0.506532 0.389876i
\(88\) 2.09261 + 19.9099i 0.223073 + 2.12240i
\(89\) 13.1208 + 9.53280i 1.39080 + 1.01048i 0.995777 + 0.0918040i \(0.0292633\pi\)
0.395023 + 0.918671i \(0.370737\pi\)
\(90\) −7.92132 + 16.8743i −0.834981 + 1.77871i
\(91\) −4.71621 + 3.42652i −0.494393 + 0.359197i
\(92\) −2.60991 2.89860i −0.272102 0.302200i
\(93\) 7.21416 13.3342i 0.748073 1.38269i
\(94\) 12.3246 2.61968i 1.27119 0.270200i
\(95\) −4.17242 + 1.01577i −0.428081 + 0.104216i
\(96\) 46.6441 + 8.57310i 4.76059 + 0.874988i
\(97\) −17.6272 3.74678i −1.78977 0.380428i −0.810946 0.585121i \(-0.801047\pi\)
−0.978826 + 0.204694i \(0.934380\pi\)
\(98\) −11.7486 8.53587i −1.18679 0.862253i
\(99\) −3.17707 4.86049i −0.319308 0.488498i
\(100\) 10.4228 + 26.6440i 1.04228 + 2.66440i
\(101\) 0.568882 0.985333i 0.0566059 0.0980443i −0.836334 0.548220i \(-0.815305\pi\)
0.892940 + 0.450176i \(0.148639\pi\)
\(102\) 5.30893 + 3.63709i 0.525662 + 0.360126i
\(103\) 8.87792 9.85992i 0.874767 0.971527i −0.125020 0.992154i \(-0.539900\pi\)
0.999787 + 0.0206271i \(0.00656626\pi\)
\(104\) −30.2903 + 33.6408i −2.97021 + 3.29876i
\(105\) −3.22763 + 4.02411i −0.314984 + 0.392713i
\(106\) 7.78150 + 8.64223i 0.755806 + 0.839408i
\(107\) 3.78058 0.365483 0.182741 0.983161i \(-0.441503\pi\)
0.182741 + 0.983161i \(0.441503\pi\)
\(108\) −28.4700 + 8.57183i −2.73953 + 0.824825i
\(109\) −3.71555 + 2.69950i −0.355885 + 0.258566i −0.751334 0.659923i \(-0.770589\pi\)
0.395449 + 0.918488i \(0.370589\pi\)
\(110\) −11.8326 2.15409i −1.12820 0.205385i
\(111\) 0.186109 2.41066i 0.0176647 0.228810i
\(112\) 21.0473 + 9.37086i 1.98878 + 0.885463i
\(113\) −4.41435 1.96539i −0.415267 0.184889i 0.188458 0.982081i \(-0.439651\pi\)
−0.603725 + 0.797192i \(0.706318\pi\)
\(114\) −7.62552 5.22416i −0.714195 0.489287i
\(115\) 1.37365 0.660577i 0.128094 0.0615991i
\(116\) 15.9347 11.5772i 1.47950 1.07492i
\(117\) 3.36053 12.6929i 0.310681 1.17346i
\(118\) 34.8088 3.20441
\(119\) 1.19162 + 1.32343i 0.109236 + 0.121319i
\(120\) −18.0189 + 35.7765i −1.64489 + 3.26594i
\(121\) −4.85356 + 5.39043i −0.441233 + 0.490039i
\(122\) 15.0912 16.7605i 1.36629 1.51742i
\(123\) 2.83517 1.35750i 0.255639 0.122401i
\(124\) 25.0423 43.3746i 2.24887 3.89516i
\(125\) −11.1370 + 0.983645i −0.996122 + 0.0879799i
\(126\) −11.0868 + 0.614172i −0.987691 + 0.0547148i
\(127\) −10.4189 7.56979i −0.924529 0.671710i 0.0201180 0.999798i \(-0.493596\pi\)
−0.944647 + 0.328088i \(0.893596\pi\)
\(128\) 59.2181 + 12.5872i 5.23419 + 1.11256i
\(129\) −1.05258 2.95838i −0.0926745 0.260471i
\(130\) −14.2835 23.1428i −1.25275 2.02976i
\(131\) −4.94144 + 1.05034i −0.431736 + 0.0917682i −0.418653 0.908146i \(-0.637498\pi\)
−0.0130824 + 0.999914i \(0.504164\pi\)
\(132\) −10.0475 16.3414i −0.874526 1.42233i
\(133\) −1.71160 1.90092i −0.148414 0.164831i
\(134\) 11.9166 8.65789i 1.02943 0.747928i
\(135\) −0.0889428 11.6186i −0.00765498 0.999971i
\(136\) 11.1878 + 8.12840i 0.959345 + 0.697005i
\(137\) 1.11485 + 10.6071i 0.0952482 + 0.906226i 0.932928 + 0.360064i \(0.117245\pi\)
−0.837679 + 0.546162i \(0.816088\pi\)
\(138\) 3.03302 + 1.25103i 0.258188 + 0.106494i
\(139\) −1.23871 + 11.7855i −0.105066 + 0.999635i 0.807267 + 0.590186i \(0.200946\pi\)
−0.912333 + 0.409449i \(0.865721\pi\)
\(140\) −11.0265 + 12.9940i −0.931912 + 1.09819i
\(141\) −6.22350 + 4.79021i −0.524113 + 0.403408i
\(142\) 6.00851 + 6.67312i 0.504223 + 0.559996i
\(143\) 8.47151 0.708423
\(144\) −50.0838 + 13.5800i −4.17365 + 1.13167i
\(145\) 2.59241 + 7.24730i 0.215288 + 0.601855i
\(146\) −3.07922 0.654508i −0.254838 0.0541675i
\(147\) 8.90246 + 1.63626i 0.734262 + 0.134956i
\(148\) 0.834928 7.94381i 0.0686307 0.652977i
\(149\) −2.03692 3.52804i −0.166871 0.289028i 0.770447 0.637504i \(-0.220033\pi\)
−0.937318 + 0.348475i \(0.886700\pi\)
\(150\) −17.5862 16.4279i −1.43591 1.34133i
\(151\) −7.69147 + 13.3220i −0.625923 + 1.08413i 0.362438 + 0.932008i \(0.381944\pi\)
−0.988362 + 0.152123i \(0.951389\pi\)
\(152\) −16.0697 11.6753i −1.30342 0.946991i
\(153\) −3.96358 0.615666i −0.320436 0.0497736i
\(154\) −2.21383 6.81345i −0.178395 0.549044i
\(155\) 13.5178 + 14.1542i 1.08578 + 1.13690i
\(156\) 12.2577 41.6090i 0.981405 3.33139i
\(157\) −2.39545 4.14905i −0.191178 0.331130i 0.754463 0.656343i \(-0.227897\pi\)
−0.945641 + 0.325213i \(0.894564\pi\)
\(158\) 28.6414 6.08793i 2.27859 0.484329i
\(159\) −6.70086 2.76390i −0.531413 0.219191i
\(160\) −29.0430 + 53.8992i −2.29605 + 4.26111i
\(161\) 0.734529 + 0.533666i 0.0578890 + 0.0420588i
\(162\) 18.4857 16.8452i 1.45238 1.32348i
\(163\) −6.98791 + 5.07702i −0.547336 + 0.397663i −0.826802 0.562493i \(-0.809842\pi\)
0.279467 + 0.960155i \(0.409842\pi\)
\(164\) 9.48678 4.22379i 0.740793 0.329822i
\(165\) 7.23188 1.97406i 0.563001 0.153680i
\(166\) 26.1780 + 11.6552i 2.03181 + 0.904618i
\(167\) 8.64696 1.83797i 0.669122 0.142226i 0.139189 0.990266i \(-0.455551\pi\)
0.529933 + 0.848040i \(0.322217\pi\)
\(168\) −23.8519 + 0.660152i −1.84021 + 0.0509318i
\(169\) 4.11903 + 4.57465i 0.316849 + 0.351896i
\(170\) −6.57500 + 5.07852i −0.504279 + 0.389505i
\(171\) 5.69311 + 0.884316i 0.435363 + 0.0676253i
\(172\) −3.20559 9.86578i −0.244424 0.752259i
\(173\) −2.42043 + 1.07765i −0.184022 + 0.0819319i −0.496679 0.867934i \(-0.665448\pi\)
0.312657 + 0.949866i \(0.398781\pi\)
\(174\) −7.88372 + 14.5718i −0.597664 + 1.10468i
\(175\) −3.66264 5.56208i −0.276869 0.420454i
\(176\) −16.7402 28.9950i −1.26184 2.18558i
\(177\) −19.5688 + 9.36965i −1.47088 + 0.704266i
\(178\) −44.0831 9.37014i −3.30416 0.702322i
\(179\) −1.41322 4.34944i −0.105629 0.325092i 0.884249 0.467016i \(-0.154671\pi\)
−0.989878 + 0.141924i \(0.954671\pi\)
\(180\) 0.768214 38.3767i 0.0572593 2.86043i
\(181\) −0.203772 + 0.627144i −0.0151462 + 0.0466153i −0.958344 0.285617i \(-0.907802\pi\)
0.943198 + 0.332232i \(0.107802\pi\)
\(182\) 8.09973 14.0291i 0.600392 1.03991i
\(183\) −3.97246 + 13.4845i −0.293652 + 0.996806i
\(184\) 6.44080 + 2.86763i 0.474822 + 0.211404i
\(185\) 2.88760 + 1.18532i 0.212300 + 0.0871466i
\(186\) −3.24282 + 42.0041i −0.237775 + 3.07989i
\(187\) −0.270513 2.57376i −0.0197819 0.188212i
\(188\) −20.9899 + 15.2501i −1.53085 + 1.11223i
\(189\) 6.06744 3.32956i 0.441342 0.242190i
\(190\) 9.44404 7.29457i 0.685143 0.529204i
\(191\) −1.99133 18.9462i −0.144087 1.37090i −0.792622 0.609714i \(-0.791284\pi\)
0.648535 0.761185i \(-0.275382\pi\)
\(192\) −69.8574 + 16.8814i −5.04152 + 1.21831i
\(193\) −8.65375 14.9887i −0.622910 1.07891i −0.988941 0.148309i \(-0.952617\pi\)
0.366031 0.930603i \(-0.380716\pi\)
\(194\) 48.9834 10.4117i 3.51680 0.747519i
\(195\) 14.2593 + 9.16563i 1.02113 + 0.656364i
\(196\) 29.2494 + 6.21715i 2.08924 + 0.444082i
\(197\) 6.54863 + 20.1546i 0.466571 + 1.43596i 0.856997 + 0.515322i \(0.172328\pi\)
−0.390426 + 0.920634i \(0.627672\pi\)
\(198\) 13.5590 + 8.74795i 0.963593 + 0.621690i
\(199\) 16.4939 1.16922 0.584610 0.811315i \(-0.301248\pi\)
0.584610 + 0.811315i \(0.301248\pi\)
\(200\) −36.7999 36.3341i −2.60215 2.56921i
\(201\) −4.36876 + 8.07492i −0.308148 + 0.569561i
\(202\) −0.330485 + 3.14436i −0.0232529 + 0.221236i
\(203\) −3.06784 + 3.40718i −0.215320 + 0.239137i
\(204\) −13.0328 2.39541i −0.912480 0.167712i
\(205\) 0.542501 + 4.02169i 0.0378899 + 0.280887i
\(206\) −11.3933 + 35.0648i −0.793806 + 2.44308i
\(207\) −2.04184 + 0.113111i −0.141918 + 0.00786178i
\(208\) 23.3945 72.0008i 1.62212 4.99236i
\(209\) 0.388554 + 3.69684i 0.0268768 + 0.255716i
\(210\) 3.64539 13.8637i 0.251556 0.956685i
\(211\) 2.27451 21.6405i 0.156584 1.48980i −0.580647 0.814156i \(-0.697200\pi\)
0.737231 0.675641i \(-0.236133\pi\)
\(212\) −21.8759 9.73978i −1.50244 0.668931i
\(213\) −5.17409 2.13415i −0.354523 0.146230i
\(214\) −9.59742 + 4.27305i −0.656066 + 0.292099i
\(215\) 4.05204 0.119021i 0.276347 0.00811715i
\(216\) 40.7104 35.0859i 2.76999 2.38729i
\(217\) −3.60266 + 11.0879i −0.244565 + 0.752693i
\(218\) 6.38117 11.0525i 0.432188 0.748571i
\(219\) 1.90725 0.460897i 0.128880 0.0311445i
\(220\) 24.0626 5.85802i 1.62230 0.394947i
\(221\) 3.91565 4.34877i 0.263395 0.292530i
\(222\) 2.25222 + 6.33007i 0.151159 + 0.424846i
\(223\) 20.3865 9.07664i 1.36518 0.607817i 0.412266 0.911063i \(-0.364737\pi\)
0.952912 + 0.303247i \(0.0980707\pi\)
\(224\) −36.4700 −2.43675
\(225\) 14.3086 + 4.50167i 0.953904 + 0.300112i
\(226\) 13.4277 0.893198
\(227\) 11.9191 5.30670i 0.791095 0.352218i 0.0289139 0.999582i \(-0.490795\pi\)
0.762181 + 0.647364i \(0.224128\pi\)
\(228\) 18.7198 + 3.44066i 1.23975 + 0.227863i
\(229\) −1.49451 + 1.65983i −0.0987603 + 0.109684i −0.790499 0.612464i \(-0.790179\pi\)
0.691738 + 0.722148i \(0.256845\pi\)
\(230\) −2.74054 + 3.22953i −0.180706 + 0.212949i
\(231\) 3.07857 + 3.23447i 0.202555 + 0.212813i
\(232\) −17.8012 + 30.8326i −1.16871 + 2.02426i
\(233\) 2.96799 9.13454i 0.194440 0.598424i −0.805543 0.592537i \(-0.798126\pi\)
0.999983 0.00588639i \(-0.00187371\pi\)
\(234\) 5.81518 + 36.0205i 0.380150 + 2.35473i
\(235\) −3.41484 9.54649i −0.222760 0.622744i
\(236\) −65.4792 + 29.1532i −4.26233 + 1.89771i
\(237\) −14.4629 + 11.1320i −0.939466 + 0.723104i
\(238\) −4.52089 2.01283i −0.293046 0.130472i
\(239\) −1.66733 + 15.8635i −0.107850 + 1.02613i 0.798037 + 0.602609i \(0.205872\pi\)
−0.905887 + 0.423519i \(0.860795\pi\)
\(240\) 3.19334 66.9164i 0.206129 4.31944i
\(241\) −1.23404 11.7411i −0.0794915 0.756311i −0.959568 0.281479i \(-0.909175\pi\)
0.880076 0.474833i \(-0.157491\pi\)
\(242\) 6.22870 19.1700i 0.400396 1.23229i
\(243\) −5.85798 + 14.4459i −0.375789 + 0.926705i
\(244\) −14.3509 + 44.1675i −0.918721 + 2.82753i
\(245\) −5.54312 + 10.2872i −0.354137 + 0.657222i
\(246\) −5.66306 + 6.65063i −0.361064 + 0.424029i
\(247\) −5.62428 + 6.24639i −0.357864 + 0.397448i
\(248\) −9.46311 + 90.0355i −0.600908 + 5.71726i
\(249\) −17.8540 + 0.494147i −1.13145 + 0.0313153i
\(250\) 27.1607 15.0848i 1.71779 0.954045i
\(251\) 7.61380 0.480579 0.240289 0.970701i \(-0.422758\pi\)
0.240289 + 0.970701i \(0.422758\pi\)
\(252\) 20.3411 10.4408i 1.28137 0.657707i
\(253\) −0.407717 1.25482i −0.0256330 0.0788902i
\(254\) 35.0054 + 7.44062i 2.19643 + 0.466866i
\(255\) 2.32931 4.62486i 0.145867 0.289620i
\(256\) −83.3855 + 17.7241i −5.21159 + 1.10776i
\(257\) 9.46210 + 16.3888i 0.590229 + 1.02231i 0.994201 + 0.107536i \(0.0342961\pi\)
−0.403972 + 0.914771i \(0.632371\pi\)
\(258\) 6.01583 + 6.32047i 0.374529 + 0.393495i
\(259\) 0.194350 + 1.84912i 0.0120763 + 0.114899i
\(260\) 46.2514 + 31.5713i 2.86839 + 1.95797i
\(261\) 0.509717 10.3140i 0.0315507 0.638422i
\(262\) 11.3572 8.25150i 0.701651 0.509780i
\(263\) 0.965647 + 9.18752i 0.0595444 + 0.566527i 0.983101 + 0.183064i \(0.0586017\pi\)
−0.923557 + 0.383462i \(0.874732\pi\)
\(264\) 28.6057 + 19.5974i 1.76056 + 1.20614i
\(265\) 6.05469 7.13502i 0.371937 0.438301i
\(266\) 6.49361 + 2.89114i 0.398149 + 0.177267i
\(267\) 27.3048 6.59834i 1.67102 0.403812i
\(268\) −15.1652 + 26.2668i −0.926360 + 1.60450i
\(269\) 2.61891 8.06018i 0.159678 0.491438i −0.838927 0.544244i \(-0.816817\pi\)
0.998605 + 0.0528061i \(0.0168165\pi\)
\(270\) 13.3578 + 29.3946i 0.812933 + 1.78890i
\(271\) −1.02891 3.16666i −0.0625018 0.192361i 0.914930 0.403613i \(-0.132246\pi\)
−0.977432 + 0.211252i \(0.932246\pi\)
\(272\) −22.6219 4.80843i −1.37165 0.291554i
\(273\) −0.777207 + 10.0671i −0.0470387 + 0.609290i
\(274\) −14.8190 25.6672i −0.895246 1.55061i
\(275\) −0.444935 + 9.66766i −0.0268306 + 0.582982i
\(276\) −6.75320 + 0.186909i −0.406495 + 0.0112506i
\(277\) −0.697796 + 0.310679i −0.0419265 + 0.0186669i −0.427593 0.903971i \(-0.640638\pi\)
0.385666 + 0.922638i \(0.373972\pi\)
\(278\) −10.1761 31.3189i −0.610323 1.87838i
\(279\) −9.48339 24.4867i −0.567756 1.46598i
\(280\) 8.65483 29.5636i 0.517225 1.76676i
\(281\) −9.74653 10.8246i −0.581429 0.645742i 0.378627 0.925549i \(-0.376396\pi\)
−0.960056 + 0.279807i \(0.909730\pi\)
\(282\) 10.3848 19.1946i 0.618407 1.14302i
\(283\) 22.9052 4.86864i 1.36157 0.289411i 0.531495 0.847062i \(-0.321631\pi\)
0.830076 + 0.557651i \(0.188297\pi\)
\(284\) −16.8916 7.52060i −1.00233 0.446266i
\(285\) −3.34573 + 6.64294i −0.198184 + 0.393494i
\(286\) −21.5058 + 9.57501i −1.27167 + 0.566182i
\(287\) −1.95561 + 1.42083i −0.115436 + 0.0838692i
\(288\) 63.6829 51.8844i 3.75255 3.05732i
\(289\) 12.3070 + 8.94159i 0.723943 + 0.525976i
\(290\) −14.7724 15.4679i −0.867467 0.908309i
\(291\) −24.7348 + 19.0383i −1.44998 + 1.11605i
\(292\) 6.34051 1.34772i 0.371050 0.0788692i
\(293\) 2.42396 + 4.19842i 0.141609 + 0.245274i 0.928103 0.372324i \(-0.121439\pi\)
−0.786494 + 0.617598i \(0.788106\pi\)
\(294\) −24.4492 + 5.90829i −1.42591 + 0.344578i
\(295\) −3.74443 27.7583i −0.218009 1.61615i
\(296\) 4.46161 + 13.7314i 0.259326 + 0.798122i
\(297\) −9.97728 1.26819i −0.578941 0.0735876i
\(298\) 9.15853 + 6.65406i 0.530539 + 0.385459i
\(299\) 1.49172 2.58373i 0.0862682 0.149421i
\(300\) 46.8403 + 16.1739i 2.70433 + 0.933798i
\(301\) 1.20734 + 2.09118i 0.0695902 + 0.120534i
\(302\) 4.46827 42.5128i 0.257120 2.44633i
\(303\) −0.660589 1.85665i −0.0379498 0.106662i
\(304\) 32.4931 + 6.90662i 1.86361 + 0.396122i
\(305\) −14.9890 10.2315i −0.858269 0.585857i
\(306\) 10.7578 2.91694i 0.614984 0.166751i
\(307\) 22.1036 1.26152 0.630759 0.775979i \(-0.282744\pi\)
0.630759 + 0.775979i \(0.282744\pi\)
\(308\) 9.87087 + 10.9627i 0.562445 + 0.624659i
\(309\) −3.03351 22.7795i −0.172571 1.29588i
\(310\) −50.3144 20.6534i −2.85766 1.17304i
\(311\) 2.05925 19.5925i 0.116770 1.11099i −0.766539 0.642197i \(-0.778023\pi\)
0.883309 0.468791i \(-0.155310\pi\)
\(312\) 10.3500 + 77.7207i 0.585952 + 4.40007i
\(313\) 0.418945 + 3.98600i 0.0236802 + 0.225302i 0.999961 + 0.00879521i \(0.00279964\pi\)
−0.976281 + 0.216507i \(0.930534\pi\)
\(314\) 10.7706 + 7.82531i 0.607821 + 0.441608i
\(315\) 1.68239 + 8.77511i 0.0947920 + 0.494422i
\(316\) −48.7789 + 35.4399i −2.74403 + 1.99365i
\(317\) 1.00775 + 1.11922i 0.0566008 + 0.0628616i 0.770780 0.637101i \(-0.219867\pi\)
−0.714179 + 0.699963i \(0.753200\pi\)
\(318\) 20.1348 0.557273i 1.12910 0.0312503i
\(319\) 6.51706 1.38524i 0.364885 0.0775588i
\(320\) 6.98495 92.5182i 0.390470 5.17192i
\(321\) 4.24527 4.98559i 0.236948 0.278269i
\(322\) −2.46786 0.524560i −0.137529 0.0292326i
\(323\) 2.07733 + 1.50927i 0.115586 + 0.0839782i
\(324\) −20.6654 + 47.1699i −1.14808 + 2.62055i
\(325\) −16.9187 + 13.8799i −0.938483 + 0.769917i
\(326\) 12.0012 20.7867i 0.664686 1.15127i
\(327\) −0.612304 + 7.93114i −0.0338605 + 0.438593i
\(328\) −12.5601 + 13.9494i −0.693517 + 0.770228i
\(329\) 4.04111 4.48811i 0.222794 0.247437i
\(330\) −16.1277 + 13.1853i −0.887800 + 0.725824i
\(331\) −7.64706 8.49292i −0.420321 0.466813i 0.495379 0.868677i \(-0.335029\pi\)
−0.915700 + 0.401864i \(0.868363\pi\)
\(332\) −59.0051 −3.23833
\(333\) −2.97004 2.95239i −0.162757 0.161790i
\(334\) −19.8738 + 14.4392i −1.08745 + 0.790077i
\(335\) −8.18612 8.57154i −0.447256 0.468313i
\(336\) 35.9920 17.2332i 1.96352 0.940147i
\(337\) −31.5876 14.0637i −1.72069 0.766100i −0.997119 0.0758480i \(-0.975834\pi\)
−0.723569 0.690252i \(-0.757500\pi\)
\(338\) −15.6271 6.95765i −0.850005 0.378446i
\(339\) −7.54877 + 3.61440i −0.409993 + 0.196307i
\(340\) 8.11490 15.0600i 0.440092 0.816741i
\(341\) 13.7064 9.95831i 0.742245 0.539273i
\(342\) −15.4521 + 4.18977i −0.835553 + 0.226557i
\(343\) −16.2842 −0.879265
\(344\) 12.5467 + 13.9345i 0.676474 + 0.751300i
\(345\) 0.671366 2.55326i 0.0361451 0.137463i
\(346\) 4.92651 5.47144i 0.264851 0.294146i
\(347\) −10.0109 + 11.1182i −0.537412 + 0.596857i −0.949298 0.314379i \(-0.898204\pi\)
0.411885 + 0.911236i \(0.364870\pi\)
\(348\) 2.62595 34.0138i 0.140766 1.82333i
\(349\) −15.1840 + 26.2994i −0.812778 + 1.40777i 0.0981339 + 0.995173i \(0.468713\pi\)
−0.910912 + 0.412600i \(0.864621\pi\)
\(350\) 15.5846 + 9.98021i 0.833032 + 0.533465i
\(351\) −12.9650 18.6846i −0.692019 0.997313i
\(352\) 42.8765 + 31.1516i 2.28532 + 1.66038i
\(353\) −5.26030 1.11811i −0.279978 0.0595111i 0.0657827 0.997834i \(-0.479046\pi\)
−0.345760 + 0.938323i \(0.612379\pi\)
\(354\) 39.0873 45.9037i 2.07747 2.43975i
\(355\) 4.67515 5.50933i 0.248131 0.292405i
\(356\) 90.7727 19.2943i 4.81094 1.02260i
\(357\) 3.08335 0.0853383i 0.163188 0.00451658i
\(358\) 8.50360 + 9.44420i 0.449429 + 0.499142i
\(359\) −2.32651 + 1.69031i −0.122788 + 0.0892110i −0.647485 0.762079i \(-0.724179\pi\)
0.524696 + 0.851290i \(0.324179\pi\)
\(360\) 26.9462 + 63.9361i 1.42019 + 3.36973i
\(361\) 12.3875 + 9.00007i 0.651975 + 0.473688i
\(362\) −0.191541 1.82239i −0.0100672 0.0957826i
\(363\) 1.65842 + 12.4536i 0.0870447 + 0.653642i
\(364\) −3.48673 + 33.1740i −0.182754 + 1.73879i
\(365\) −0.190703 + 2.52593i −0.00998186 + 0.132213i
\(366\) −5.15654 38.7219i −0.269537 2.02402i
\(367\) −11.0096 12.2274i −0.574699 0.638267i 0.383783 0.923423i \(-0.374621\pi\)
−0.958481 + 0.285156i \(0.907955\pi\)
\(368\) −11.7909 −0.614643
\(369\) 1.39347 5.26320i 0.0725412 0.273991i
\(370\) −8.67019 + 0.254670i −0.450742 + 0.0132397i
\(371\) 5.45226 + 1.15891i 0.283067 + 0.0601678i
\(372\) −29.0793 81.7302i −1.50769 4.23751i
\(373\) 0.264305 2.51469i 0.0136852 0.130206i −0.985546 0.169407i \(-0.945815\pi\)
0.999231 + 0.0392013i \(0.0124814\pi\)
\(374\) 3.59575 + 6.22802i 0.185932 + 0.322043i
\(375\) −11.2087 + 15.7913i −0.578815 + 0.815459i
\(376\) 23.4486 40.6142i 1.20927 2.09452i
\(377\) 12.1883 + 8.85534i 0.627731 + 0.456073i
\(378\) −11.6396 + 15.3102i −0.598676 + 0.787473i
\(379\) −6.58832 20.2768i −0.338419 1.04155i −0.965013 0.262201i \(-0.915552\pi\)
0.626594 0.779346i \(-0.284448\pi\)
\(380\) −11.6559 + 21.6315i −0.597934 + 1.10967i
\(381\) −21.6821 + 5.23959i −1.11081 + 0.268432i
\(382\) 26.4693 + 45.8462i 1.35429 + 2.34570i
\(383\) −7.59930 + 1.61528i −0.388306 + 0.0825370i −0.397928 0.917417i \(-0.630271\pi\)
0.00962181 + 0.999954i \(0.496937\pi\)
\(384\) 83.0960 63.9587i 4.24047 3.26388i
\(385\) −5.19525 + 2.49835i −0.264775 + 0.127328i
\(386\) 38.9096 + 28.2695i 1.98045 + 1.43888i
\(387\) −5.08328 1.93393i −0.258398 0.0983070i
\(388\) −83.4230 + 60.6103i −4.23516 + 3.07702i
\(389\) 33.8335 15.0637i 1.71543 0.763757i 0.717702 0.696351i \(-0.245194\pi\)
0.997726 0.0674069i \(-0.0214726\pi\)
\(390\) −46.5584 7.15117i −2.35757 0.362114i
\(391\) −0.832606 0.370700i −0.0421067 0.0187471i
\(392\) −52.8702 + 11.2379i −2.67035 + 0.567601i
\(393\) −4.16369 + 7.69589i −0.210030 + 0.388206i
\(394\) −39.4044 43.7630i −1.98516 2.20475i
\(395\) −7.93582 22.1853i −0.399294 1.11626i
\(396\) −32.8325 5.09990i −1.64989 0.256279i
\(397\) 7.53981 + 23.2052i 0.378412 + 1.16463i 0.941147 + 0.337996i \(0.109749\pi\)
−0.562735 + 0.826637i \(0.690251\pi\)
\(398\) −41.8715 + 18.6424i −2.09883 + 0.934458i
\(399\) −4.42879 + 0.122576i −0.221717 + 0.00613649i
\(400\) 80.9384 + 30.4793i 4.04692 + 1.52396i
\(401\) 17.8616 + 30.9372i 0.891965 + 1.54493i 0.837517 + 0.546412i \(0.184007\pi\)
0.0544484 + 0.998517i \(0.482660\pi\)
\(402\) 1.96379 25.4369i 0.0979450 1.26868i
\(403\) 37.4723 + 7.96499i 1.86663 + 0.396764i
\(404\) −2.01179 6.19167i −0.100090 0.308047i
\(405\) −15.4218 12.9294i −0.766313 0.642467i
\(406\) 3.93704 12.1170i 0.195392 0.601354i
\(407\) 1.35097 2.33995i 0.0669652 0.115987i
\(408\) 23.2821 5.62625i 1.15264 0.278541i
\(409\) −17.8400 7.94289i −0.882132 0.392750i −0.0848758 0.996392i \(-0.527049\pi\)
−0.797256 + 0.603641i \(0.793716\pi\)
\(410\) −5.92276 9.59633i −0.292504 0.473929i
\(411\) 15.2399 + 10.4407i 0.751727 + 0.515000i
\(412\) −7.93567 75.5028i −0.390962 3.71976i
\(413\) 13.4979 9.80682i 0.664190 0.482562i
\(414\) 5.05559 2.59496i 0.248469 0.127535i
\(415\) 6.47845 22.1294i 0.318014 1.08629i
\(416\) 12.5267 + 119.183i 0.614170 + 5.84344i
\(417\) 14.1510 + 14.8676i 0.692979 + 0.728072i
\(418\) −5.16478 8.94566i −0.252617 0.437546i
\(419\) −22.8041 + 4.84717i −1.11405 + 0.236800i −0.727933 0.685648i \(-0.759519\pi\)
−0.386122 + 0.922448i \(0.626185\pi\)
\(420\) 4.75379 + 29.1322i 0.231961 + 1.42151i
\(421\) 23.5935 + 5.01495i 1.14988 + 0.244414i 0.743142 0.669133i \(-0.233335\pi\)
0.406733 + 0.913547i \(0.366668\pi\)
\(422\) 18.6854 + 57.5076i 0.909589 + 2.79943i
\(423\) −0.671424 + 13.5861i −0.0326458 + 0.660581i
\(424\) 43.2843 2.10207
\(425\) 4.75715 + 4.69693i 0.230756 + 0.227835i
\(426\) 15.5471 0.430300i 0.753261 0.0208481i
\(427\) 1.12997 10.7510i 0.0546831 0.520275i
\(428\) 14.4750 16.0761i 0.699676 0.777069i
\(429\) 9.51277 11.1717i 0.459281 0.539374i
\(430\) −10.1520 + 4.88201i −0.489574 + 0.235431i
\(431\) 3.55648 10.9457i 0.171310 0.527237i −0.828136 0.560527i \(-0.810599\pi\)
0.999446 + 0.0332902i \(0.0105986\pi\)
\(432\) −38.3313 + 81.2965i −1.84421 + 3.91138i
\(433\) −1.01538 + 3.12503i −0.0487962 + 0.150179i −0.972486 0.232963i \(-0.925158\pi\)
0.923689 + 0.383142i \(0.125158\pi\)
\(434\) −3.38642 32.2197i −0.162553 1.54659i
\(435\) 12.4683 + 4.71938i 0.597810 + 0.226277i
\(436\) −2.74694 + 26.1354i −0.131554 + 1.25166i
\(437\) 1.19592 + 0.532458i 0.0572086 + 0.0254709i
\(438\) −4.32082 + 3.32572i −0.206457 + 0.158909i
\(439\) −24.3810 + 10.8551i −1.16364 + 0.518086i −0.895398 0.445266i \(-0.853109\pi\)
−0.268241 + 0.963352i \(0.586442\pi\)
\(440\) −35.4275 + 27.3642i −1.68894 + 1.30454i
\(441\) 12.1545 9.90262i 0.578785 0.471554i
\(442\) −5.02506 + 15.4655i −0.239018 + 0.735621i
\(443\) −15.8645 + 27.4781i −0.753746 + 1.30553i 0.192250 + 0.981346i \(0.438422\pi\)
−0.945996 + 0.324180i \(0.894912\pi\)
\(444\) −9.53824 10.0213i −0.452665 0.475588i
\(445\) −2.73017 + 36.1620i −0.129422 + 1.71424i
\(446\) −41.4942 + 46.0840i −1.96481 + 2.18214i
\(447\) −6.93983 1.27553i −0.328243 0.0603304i
\(448\) 50.4884 22.4789i 2.38535 1.06203i
\(449\) −5.14754 −0.242927 −0.121464 0.992596i \(-0.538759\pi\)
−0.121464 + 0.992596i \(0.538759\pi\)
\(450\) −41.4119 + 4.74442i −1.95217 + 0.223654i
\(451\) 3.51278 0.165410
\(452\) −25.2590 + 11.2460i −1.18808 + 0.528968i
\(453\) 8.93138 + 25.1025i 0.419633 + 1.17942i
\(454\) −24.2598 + 26.9433i −1.13857 + 1.26451i
\(455\) −12.0588 4.95001i −0.565328 0.232060i
\(456\) −33.4414 + 8.08130i −1.56604 + 0.378442i
\(457\) 7.32197 12.6820i 0.342508 0.593240i −0.642390 0.766378i \(-0.722057\pi\)
0.984898 + 0.173137i \(0.0553905\pi\)
\(458\) 1.91795 5.90284i 0.0896198 0.275822i
\(459\) −5.26266 + 4.53558i −0.245640 + 0.211703i
\(460\) 2.45045 8.37036i 0.114253 0.390270i
\(461\) 32.3602 14.4077i 1.50716 0.671032i 0.523661 0.851927i \(-0.324566\pi\)
0.983503 + 0.180894i \(0.0578992\pi\)
\(462\) −11.4711 4.73147i −0.533683 0.220128i
\(463\) 16.0348 + 7.13914i 0.745199 + 0.331784i 0.743968 0.668215i \(-0.232942\pi\)
0.00123076 + 0.999999i \(0.499608\pi\)
\(464\) 6.22375 59.2150i 0.288930 2.74899i
\(465\) 33.8450 1.93244i 1.56953 0.0896146i
\(466\) 2.78985 + 26.5436i 0.129237 + 1.22961i
\(467\) 0.826963 2.54513i 0.0382673 0.117775i −0.930098 0.367311i \(-0.880278\pi\)
0.968365 + 0.249537i \(0.0802783\pi\)
\(468\) −41.1070 62.8881i −1.90017 2.90700i
\(469\) 2.18170 6.71459i 0.100742 0.310051i
\(470\) 19.4590 + 20.3751i 0.897575 + 0.939834i
\(471\) −8.16138 1.50005i −0.376057 0.0691185i
\(472\) 86.6919 96.2811i 3.99032 4.43170i
\(473\) 0.366793 3.48981i 0.0168652 0.160461i
\(474\) 24.1335 44.6067i 1.10849 2.04886i
\(475\) −6.83297 6.74647i −0.313518 0.309549i
\(476\) 10.1901 0.467061
\(477\) −11.1693 + 5.73305i −0.511409 + 0.262498i
\(478\) −13.6973 42.1558i −0.626498 1.92816i
\(479\) −31.4711 6.68940i −1.43795 0.305646i −0.578007 0.816032i \(-0.696169\pi\)
−0.859946 + 0.510385i \(0.829503\pi\)
\(480\) 38.4661 + 98.8242i 1.75573 + 4.51069i
\(481\) 5.97613 1.27027i 0.272488 0.0579191i
\(482\) 16.4033 + 28.4113i 0.747148 + 1.29410i
\(483\) 1.52858 0.369389i 0.0695527 0.0168078i
\(484\) 4.33844 + 41.2775i 0.197202 + 1.87625i
\(485\) −13.5721 37.9418i −0.616275 1.72285i
\(486\) −1.45654 43.2935i −0.0660698 1.96383i
\(487\) 4.60192 3.34349i 0.208533 0.151508i −0.478617 0.878024i \(-0.658862\pi\)
0.687150 + 0.726516i \(0.258862\pi\)
\(488\) −8.77456 83.4843i −0.397206 3.77916i
\(489\) −1.15157 + 14.9163i −0.0520759 + 0.674537i
\(490\) 2.44465 32.3802i 0.110438 1.46279i
\(491\) −3.71402 1.65359i −0.167611 0.0746254i 0.321216 0.947006i \(-0.395909\pi\)
−0.488827 + 0.872381i \(0.662575\pi\)
\(492\) 5.08277 17.2535i 0.229149 0.777848i
\(493\) 2.30118 3.98575i 0.103640 0.179509i
\(494\) 7.21777 22.2140i 0.324743 0.999456i
\(495\) 5.51751 11.7536i 0.247994 0.528287i
\(496\) −46.7864 143.994i −2.10077 6.46551i
\(497\) 4.20998 + 0.894859i 0.188843 + 0.0401399i
\(498\) 44.7657 21.4341i 2.00600 0.960485i
\(499\) 7.15851 + 12.3989i 0.320459 + 0.555051i 0.980583 0.196106i \(-0.0628296\pi\)
−0.660124 + 0.751157i \(0.729496\pi\)
\(500\) −38.4583 + 51.1238i −1.71991 + 2.28633i
\(501\) 7.28599 13.4669i 0.325514 0.601658i
\(502\) −19.3284 + 8.60557i −0.862670 + 0.384086i
\(503\) 8.97302 + 27.6161i 0.400087 + 1.23134i 0.924928 + 0.380142i \(0.124125\pi\)
−0.524841 + 0.851200i \(0.675875\pi\)
\(504\) −25.9130 + 32.1956i −1.15426 + 1.43411i
\(505\) 2.54302 0.0746963i 0.113163 0.00332394i
\(506\) 2.45331 + 2.72468i 0.109063 + 0.121127i
\(507\) 10.6581 0.294985i 0.473341 0.0131007i
\(508\) −72.0806 + 15.3212i −3.19806 + 0.679768i
\(509\) −24.0786 10.7205i −1.06726 0.475177i −0.203501 0.979075i \(-0.565232\pi\)
−0.863763 + 0.503898i \(0.831899\pi\)
\(510\) −0.685918 + 14.3734i −0.0303730 + 0.636466i
\(511\) −1.37844 + 0.613719i −0.0609784 + 0.0271493i
\(512\) 93.6925 68.0716i 4.14066 3.00837i
\(513\) 7.55905 6.51471i 0.333740 0.287631i
\(514\) −42.5442 30.9102i −1.87654 1.36339i
\(515\) 29.1881 + 5.31360i 1.28618 + 0.234145i
\(516\) −16.6100 6.85109i −0.731213 0.301602i
\(517\) −8.58459 + 1.82471i −0.377550 + 0.0802507i
\(518\) −2.58337 4.47452i −0.113507 0.196599i
\(519\) −1.29680 + 4.40202i −0.0569234 + 0.193227i
\(520\) −99.5860 18.1293i −4.36714 0.795024i
\(521\) −12.2243 37.6226i −0.535558 1.64828i −0.742441 0.669912i \(-0.766332\pi\)
0.206883 0.978366i \(-0.433668\pi\)
\(522\) 10.3636 + 26.7594i 0.453601 + 1.17123i
\(523\) −2.79441 2.03026i −0.122191 0.0887769i 0.525011 0.851095i \(-0.324061\pi\)
−0.647202 + 0.762318i \(0.724061\pi\)
\(524\) −14.4533 + 25.0339i −0.631397 + 1.09361i
\(525\) −11.4477 1.41568i −0.499621 0.0617856i
\(526\) −12.8357 22.2321i −0.559663 0.969364i
\(527\) 1.22330 11.6390i 0.0532879 0.507001i
\(528\) −57.0345 10.4828i −2.48211 0.456207i
\(529\) 22.0429 + 4.68536i 0.958387 + 0.203711i
\(530\) −7.30605 + 24.9564i −0.317354 + 1.08404i
\(531\) −9.61795 + 36.3274i −0.417383 + 1.57647i
\(532\) −14.6366 −0.634576
\(533\) 5.31497 + 5.90287i 0.230217 + 0.255682i
\(534\) −61.8582 + 47.6121i −2.67687 + 2.06038i
\(535\) 4.43995 + 7.19381i 0.191956 + 0.311016i
\(536\) 5.73068 54.5238i 0.247528 2.35507i
\(537\) −7.32268 3.02038i −0.315997 0.130339i
\(538\) 2.46172 + 23.4217i 0.106132 + 1.00978i
\(539\) 8.18337 + 5.94557i 0.352483 + 0.256094i
\(540\) −49.7462 44.1068i −2.14073 1.89806i
\(541\) 10.2115 7.41907i 0.439026 0.318971i −0.346222 0.938153i \(-0.612536\pi\)
0.785248 + 0.619182i \(0.212536\pi\)
\(542\) 6.19115 + 6.87596i 0.265933 + 0.295348i
\(543\) 0.598220 + 0.972950i 0.0256721 + 0.0417533i
\(544\) 35.8095 7.61155i 1.53532 0.326342i
\(545\) −9.50027 3.89974i −0.406947 0.167047i
\(546\) −9.40545 26.4349i −0.402516 1.13131i
\(547\) 31.7428 + 6.74714i 1.35722 + 0.288487i 0.828349 0.560212i \(-0.189280\pi\)
0.528876 + 0.848699i \(0.322614\pi\)
\(548\) 49.3729 + 35.8715i 2.10911 + 1.53236i
\(549\) 13.3218 + 20.3806i 0.568562 + 0.869823i
\(550\) −9.79746 25.0453i −0.417765 1.06793i
\(551\) −3.30531 + 5.72497i −0.140811 + 0.243892i
\(552\) 11.0141 5.27362i 0.468791 0.224460i
\(553\) 9.39120 10.4300i 0.399355 0.443528i
\(554\) 1.42028 1.57738i 0.0603420 0.0670166i
\(555\) 4.80565 2.47696i 0.203988 0.105141i
\(556\) 45.3727 + 50.3914i 1.92423 + 2.13707i
\(557\) −31.0263 −1.31462 −0.657312 0.753618i \(-0.728307\pi\)
−0.657312 + 0.753618i \(0.728307\pi\)
\(558\) 51.7509 + 51.4434i 2.19079 + 2.17777i
\(559\) 6.41925 4.66385i 0.271505 0.197260i
\(560\) 6.88695 + 51.0547i 0.291027 + 2.15745i
\(561\) −3.69788 2.53338i −0.156124 0.106959i
\(562\) 36.9772 + 16.4633i 1.55979 + 0.694464i
\(563\) −25.0255 11.1421i −1.05470 0.469581i −0.195222 0.980759i \(-0.562543\pi\)
−0.859475 + 0.511178i \(0.829209\pi\)
\(564\) −3.45904 + 44.8047i −0.145652 + 1.88662i
\(565\) −1.44443 10.7079i −0.0607678 0.450486i
\(566\) −52.6444 + 38.2484i −2.21281 + 1.60770i
\(567\) 2.42240 11.7402i 0.101731 0.493041i
\(568\) 33.4221 1.40236
\(569\) 25.6914 + 28.5332i 1.07704 + 1.19617i 0.979605 + 0.200933i \(0.0643974\pi\)
0.0974358 + 0.995242i \(0.468936\pi\)
\(570\) 0.985223 20.6454i 0.0412664 0.864739i
\(571\) −24.0775 + 26.7408i −1.00761 + 1.11907i −0.0147396 + 0.999891i \(0.504692\pi\)
−0.992873 + 0.119176i \(0.961975\pi\)
\(572\) 32.4355 36.0233i 1.35620 1.50621i
\(573\) −27.2211 18.6489i −1.13718 0.779069i
\(574\) 3.35861 5.81729i 0.140186 0.242809i
\(575\) 2.87020 + 1.83804i 0.119695 + 0.0766517i
\(576\) −56.1817 + 111.080i −2.34090 + 4.62833i
\(577\) −15.8862 11.5420i −0.661351 0.480500i 0.205768 0.978601i \(-0.434031\pi\)
−0.867119 + 0.498101i \(0.834031\pi\)
\(578\) −41.3490 8.78901i −1.71989 0.365575i
\(579\) −29.4836 5.41903i −1.22530 0.225207i
\(580\) 40.7433 + 16.7246i 1.69177 + 0.694452i
\(581\) 13.4348 2.85565i 0.557368 0.118472i
\(582\) 41.2737 76.2877i 1.71085 3.16223i
\(583\) −5.42012 6.01965i −0.224478 0.249308i
\(584\) −9.47921 + 6.88705i −0.392252 + 0.284988i
\(585\) 28.0990 8.51209i 1.16175 0.351931i
\(586\) −10.8988 7.91843i −0.450225 0.327107i
\(587\) 0.824834 + 7.84777i 0.0340445 + 0.323912i 0.998268 + 0.0588230i \(0.0187347\pi\)
−0.964224 + 0.265089i \(0.914599\pi\)
\(588\) 41.0433 31.5909i 1.69260 1.30279i
\(589\) −1.75710 + 16.7177i −0.0724000 + 0.688840i
\(590\) 40.8798 + 66.2354i 1.68299 + 2.72687i
\(591\) 33.9322 + 13.9960i 1.39578 + 0.575717i
\(592\) −16.1569 17.9440i −0.664044 0.737495i
\(593\) −33.0220 −1.35605 −0.678025 0.735039i \(-0.737164\pi\)
−0.678025 + 0.735039i \(0.737164\pi\)
\(594\) 26.7618 8.05751i 1.09805 0.330603i
\(595\) −1.11882 + 3.82171i −0.0458670 + 0.156675i
\(596\) −22.8011 4.84653i −0.933970 0.198522i
\(597\) 18.5212 21.7511i 0.758022 0.890212i
\(598\) −0.866595 + 8.24510i −0.0354377 + 0.337167i
\(599\) −10.6255 18.4039i −0.434145 0.751961i 0.563081 0.826402i \(-0.309616\pi\)
−0.997225 + 0.0744411i \(0.976283\pi\)
\(600\) −89.2382 + 7.72936i −3.64313 + 0.315550i
\(601\) 16.1753 28.0165i 0.659805 1.14282i −0.320861 0.947126i \(-0.603972\pi\)
0.980666 0.195689i \(-0.0626945\pi\)
\(602\) −5.42855 3.94408i −0.221251 0.160749i
\(603\) 5.74296 + 14.8287i 0.233871 + 0.603870i
\(604\) 27.2001 + 83.7134i 1.10676 + 3.40625i
\(605\) −15.9571 2.90495i −0.648750 0.118103i
\(606\) 3.77547 + 3.96666i 0.153368 + 0.161135i
\(607\) −2.58655 4.48004i −0.104985 0.181839i 0.808747 0.588156i \(-0.200146\pi\)
−0.913732 + 0.406317i \(0.866813\pi\)
\(608\) −51.4352 + 10.9329i −2.08597 + 0.443387i
\(609\) 1.04826 + 7.87164i 0.0424775 + 0.318975i
\(610\) 49.6156 + 9.03236i 2.00888 + 0.365710i
\(611\) −16.0551 11.6647i −0.649519 0.471903i
\(612\) −17.7936 + 14.4970i −0.719265 + 0.586007i
\(613\) 27.4772 19.9633i 1.10979 0.806311i 0.127161 0.991882i \(-0.459414\pi\)
0.982631 + 0.185571i \(0.0594135\pi\)
\(614\) −56.1123 + 24.9828i −2.26451 + 1.00822i
\(615\) 5.91274 + 3.80060i 0.238425 + 0.153255i
\(616\) −24.3595 10.8456i −0.981474 0.436980i
\(617\) 37.6552 8.00385i 1.51594 0.322223i 0.626553 0.779379i \(-0.284465\pi\)
0.889387 + 0.457156i \(0.151132\pi\)
\(618\) 33.4476 + 54.3995i 1.34546 + 2.18827i
\(619\) 2.54331 + 2.82463i 0.102224 + 0.113532i 0.792086 0.610410i \(-0.208995\pi\)
−0.689861 + 0.723941i \(0.742329\pi\)
\(620\) 111.945 3.28815i 4.49580 0.132055i
\(621\) −2.14365 + 2.81967i −0.0860216 + 0.113149i
\(622\) 16.9170 + 52.0651i 0.678309 + 2.08762i
\(623\) −19.7341 + 8.78619i −0.790630 + 0.352011i
\(624\) −68.6801 111.702i −2.74941 4.47165i
\(625\) −14.9511 20.0366i −0.598043 0.801464i
\(626\) −5.56875 9.64536i −0.222572 0.385506i
\(627\) 5.31147 + 3.63883i 0.212120 + 0.145321i
\(628\) −26.8146 5.69961i −1.07002 0.227439i
\(629\) −0.576755 1.77507i −0.0229967 0.0707766i
\(630\) −14.1891 20.3750i −0.565307 0.811760i
\(631\) 4.65356 14.3222i 0.185255 0.570157i −0.814697 0.579886i \(-0.803097\pi\)
0.999953 + 0.00972902i \(0.00309689\pi\)
\(632\) 54.4927 94.3842i 2.16760 3.75440i
\(633\) −25.9841 27.2999i −1.03278 1.08508i
\(634\) −3.82329 1.70224i −0.151842 0.0676044i
\(635\) 2.16796 28.7155i 0.0860330 1.13954i
\(636\) −37.4090 + 17.9116i −1.48336 + 0.710242i
\(637\) 2.39083 + 22.7472i 0.0947281 + 0.901277i
\(638\) −14.9786 + 10.8826i −0.593007 + 0.430845i
\(639\) −8.62444 + 4.42680i −0.341177 + 0.175121i
\(640\) 45.5949 + 127.465i 1.80230 + 5.03848i
\(641\) −2.85840 27.1959i −0.112900 1.07417i −0.893476 0.449111i \(-0.851741\pi\)
0.780576 0.625061i \(-0.214926\pi\)
\(642\) −5.14204 + 17.4547i −0.202940 + 0.688883i
\(643\) 7.99458 + 13.8470i 0.315275 + 0.546073i 0.979496 0.201464i \(-0.0645698\pi\)
−0.664221 + 0.747537i \(0.731236\pi\)
\(644\) 5.08165 1.08014i 0.200245 0.0425634i
\(645\) 4.39313 5.47723i 0.172980 0.215666i
\(646\) −6.97941 1.48352i −0.274601 0.0583683i
\(647\) 6.09758 + 18.7664i 0.239720 + 0.737784i 0.996460 + 0.0840673i \(0.0267911\pi\)
−0.756740 + 0.653716i \(0.773209\pi\)
\(648\) −0.554840 93.0846i −0.0217962 3.65671i
\(649\) −24.2457 −0.951728
\(650\) 27.2622 54.3581i 1.06931 2.13210i
\(651\) 10.5765 + 17.2017i 0.414525 + 0.674186i
\(652\) −5.16622 + 49.1533i −0.202325 + 1.92499i
\(653\) 18.1410 20.1476i 0.709911 0.788436i −0.275010 0.961441i \(-0.588681\pi\)
0.984921 + 0.173005i \(0.0553478\pi\)
\(654\) −7.40985 20.8261i −0.289748 0.814365i
\(655\) −7.80188 8.16920i −0.304845 0.319197i
\(656\) 9.70070 29.8557i 0.378749 1.16567i
\(657\) 1.53387 3.03271i 0.0598421 0.118317i
\(658\) −5.18606 + 15.9610i −0.202174 + 0.622226i
\(659\) 5.17975 + 49.2821i 0.201775 + 1.91976i 0.361094 + 0.932529i \(0.382403\pi\)
−0.159319 + 0.987227i \(0.550930\pi\)
\(660\) 19.2950 38.3102i 0.751056 1.49122i
\(661\) −3.25622 + 30.9809i −0.126652 + 1.20502i 0.727912 + 0.685671i \(0.240491\pi\)
−0.854564 + 0.519346i \(0.826176\pi\)
\(662\) 29.0121 + 12.9170i 1.12759 + 0.502034i
\(663\) −1.33795 10.0470i −0.0519616 0.390194i
\(664\) 97.4348 43.3808i 3.78120 1.68350i
\(665\) 1.60702 5.48934i 0.0623175 0.212867i
\(666\) 10.8767 + 4.13804i 0.421465 + 0.160346i
\(667\) 0.725079 2.23156i 0.0280752 0.0864065i
\(668\) 25.2917 43.8065i 0.978565 1.69492i
\(669\) 10.9225 37.0766i 0.422289 1.43347i
\(670\) 30.4694 + 12.5073i 1.17714 + 0.483200i
\(671\) −10.5116 + 11.6743i −0.405796 + 0.450682i
\(672\) −40.9526 + 48.0943i −1.57978 + 1.85528i
\(673\) −4.11415 + 1.83174i −0.158589 + 0.0706084i −0.484496 0.874793i \(-0.660997\pi\)
0.325907 + 0.945402i \(0.394330\pi\)
\(674\) 96.0843 3.70103
\(675\) 22.0038 13.8142i 0.846926 0.531710i
\(676\) 35.2235 1.35475
\(677\) 31.4670 14.0100i 1.20938 0.538449i 0.299806 0.954000i \(-0.403078\pi\)
0.909570 + 0.415551i \(0.136411\pi\)
\(678\) 15.0781 17.7076i 0.579073 0.680056i
\(679\) 16.0611 17.8377i 0.616368 0.684546i
\(680\) −2.32795 + 30.8345i −0.0892727 + 1.18245i
\(681\) 6.38592 21.6771i 0.244709 0.830667i
\(682\) −23.5398 + 40.7721i −0.901384 + 1.56124i
\(683\) −8.37000 + 25.7602i −0.320269 + 0.985687i 0.653262 + 0.757132i \(0.273400\pi\)
−0.973531 + 0.228555i \(0.926600\pi\)
\(684\) 25.5580 20.8229i 0.977235 0.796183i
\(685\) −18.8742 + 14.5784i −0.721148 + 0.557014i
\(686\) 41.3392 18.4054i 1.57834 0.702722i
\(687\) 0.510664 + 3.83471i 0.0194830 + 0.146303i
\(688\) −28.6475 12.7547i −1.09218 0.486269i
\(689\) 1.91457 18.2159i 0.0729394 0.693972i
\(690\) 1.18151 + 7.24053i 0.0449793 + 0.275642i
\(691\) 3.36196 + 31.9869i 0.127895 + 1.21684i 0.850649 + 0.525734i \(0.176209\pi\)
−0.722754 + 0.691105i \(0.757124\pi\)
\(692\) −4.68483 + 14.4184i −0.178091 + 0.548107i
\(693\) 7.72239 0.427795i 0.293349 0.0162506i
\(694\) 12.8472 39.5397i 0.487674 1.50090i
\(695\) −23.8806 + 11.4840i −0.905843 + 0.435611i
\(696\) 20.6709 + 58.0975i 0.783528 + 2.20218i
\(697\) 1.62366 1.80325i 0.0615003 0.0683030i
\(698\) 8.82094 83.9256i 0.333877 3.17663i
\(699\) −8.71325 14.1713i −0.329566 0.536008i
\(700\) −37.6750 5.72139i −1.42398 0.216248i
\(701\) −33.8606 −1.27890 −0.639449 0.768834i \(-0.720837\pi\)
−0.639449 + 0.768834i \(0.720837\pi\)
\(702\) 54.0315 + 32.7792i 2.03929 + 1.23717i
\(703\) 0.828426 + 2.54963i 0.0312447 + 0.0961612i
\(704\) −78.5582 16.6981i −2.96077 0.629332i
\(705\) −16.4239 6.21660i −0.618559 0.234131i
\(706\) 14.6176 3.10706i 0.550140 0.116936i
\(707\) 0.757718 + 1.31241i 0.0284969 + 0.0493581i
\(708\) −35.0820 + 119.086i −1.31846 + 4.47554i
\(709\) 2.86974 + 27.3038i 0.107775 + 1.02541i 0.906064 + 0.423140i \(0.139072\pi\)
−0.798289 + 0.602275i \(0.794261\pi\)
\(710\) −5.64139 + 19.2701i −0.211717 + 0.723196i
\(711\) −1.56033 + 31.5731i −0.0585171 + 1.18408i
\(712\) −135.707 + 98.5970i −5.08584 + 3.69508i
\(713\) −0.623673 5.93385i −0.0233567 0.222225i
\(714\) −7.73096 + 3.70163i −0.289324 + 0.138530i
\(715\) 9.94901 + 16.1198i 0.372072 + 0.602848i
\(716\) −23.9059 10.6436i −0.893407 0.397770i
\(717\) 19.0476 + 20.0122i 0.711345 + 0.747367i
\(718\) 3.99560 6.92059i 0.149115 0.258274i
\(719\) 8.99550 27.6853i 0.335475 1.03249i −0.631012 0.775773i \(-0.717360\pi\)
0.966487 0.256714i \(-0.0826399\pi\)
\(720\) −84.6593 79.3525i −3.15507 2.95729i
\(721\) 5.46094 + 16.8071i 0.203376 + 0.625927i
\(722\) −41.6195 8.84649i −1.54892 0.329232i
\(723\) −16.8692 11.5569i −0.627371 0.429805i
\(724\) 1.88660 + 3.26769i 0.0701150 + 0.121443i
\(725\) −10.7458 + 13.4442i −0.399090 + 0.499305i
\(726\) −18.2859 29.7402i −0.678652 1.10376i
\(727\) 2.59030 1.15328i 0.0960691 0.0427727i −0.358139 0.933668i \(-0.616589\pi\)
0.454209 + 0.890895i \(0.349922\pi\)
\(728\) −18.6321 57.3436i −0.690550 2.12529i
\(729\) 12.4723 + 23.9466i 0.461939 + 0.886912i
\(730\) −2.37084 6.62790i −0.0877488 0.245309i
\(731\) −1.62192 1.80133i −0.0599890 0.0666245i
\(732\) 42.1305 + 68.5213i 1.55719 + 2.53262i
\(733\) −0.966208 + 0.205374i −0.0356877 + 0.00758565i −0.225721 0.974192i \(-0.572474\pi\)
0.190033 + 0.981778i \(0.439140\pi\)
\(734\) 41.7693 + 18.5969i 1.54173 + 0.686424i
\(735\) 7.34160 + 18.8615i 0.270799 + 0.695717i
\(736\) 17.0509 7.59154i 0.628504 0.279828i
\(737\) −8.30035 + 6.03056i −0.305747 + 0.222139i
\(738\) 2.41131 + 14.9362i 0.0887615 + 0.549808i
\(739\) 18.7656 + 13.6340i 0.690305 + 0.501536i 0.876760 0.480927i \(-0.159700\pi\)
−0.186455 + 0.982463i \(0.559700\pi\)
\(740\) 16.0963 7.74055i 0.591711 0.284548i
\(741\) 1.92177 + 14.4311i 0.0705980 + 0.530139i
\(742\) −15.1510 + 3.22045i −0.556211 + 0.118226i
\(743\) 1.11329 + 1.92828i 0.0408427 + 0.0707416i 0.885724 0.464212i \(-0.153662\pi\)
−0.844881 + 0.534954i \(0.820329\pi\)
\(744\) 108.107 + 113.581i 3.96339 + 4.16410i
\(745\) 4.32109 8.01926i 0.158313 0.293803i
\(746\) 2.17129 + 6.68255i 0.0794967 + 0.244666i
\(747\) −19.3968 + 24.0996i −0.709693 + 0.881758i
\(748\) −11.9801 8.70405i −0.438036 0.318252i
\(749\) −2.51776 + 4.36089i −0.0919969 + 0.159343i
\(750\) 10.6062 52.7566i 0.387284 1.92640i
\(751\) 13.5281 + 23.4314i 0.493648 + 0.855023i 0.999973 0.00731948i \(-0.00232988\pi\)
−0.506325 + 0.862342i \(0.668997\pi\)
\(752\) −8.19823 + 78.0010i −0.298959 + 2.84440i
\(753\) 8.54963 10.0406i 0.311566 0.365899i
\(754\) −40.9502 8.70424i −1.49132 0.316990i
\(755\) −34.3825 + 1.00992i −1.25131 + 0.0367547i
\(756\) 9.07264 38.5486i 0.329969 1.40200i
\(757\) 34.3552 1.24866 0.624330 0.781161i \(-0.285372\pi\)
0.624330 + 0.781161i \(0.285372\pi\)
\(758\) 39.6432 + 44.0282i 1.43990 + 1.59918i
\(759\) −2.11261 0.871388i −0.0766831 0.0316294i
\(760\) 3.34376 44.2894i 0.121291 1.60654i
\(761\) −3.74226 + 35.6052i −0.135657 + 1.29069i 0.688878 + 0.724877i \(0.258104\pi\)
−0.824535 + 0.565811i \(0.808563\pi\)
\(762\) 49.1202 37.8077i 1.77944 1.36963i
\(763\) −0.639418 6.08366i −0.0231485 0.220243i
\(764\) −88.1890 64.0730i −3.19056 2.31808i
\(765\) −3.48335 8.26506i −0.125941 0.298824i
\(766\) 17.4659 12.6898i 0.631070 0.458499i
\(767\) −36.6847 40.7425i −1.32461 1.47113i
\(768\) −70.2612 + 129.866i −2.53533 + 4.68614i
\(769\) 15.9962 3.40010i 0.576839 0.122611i 0.0897516 0.995964i \(-0.471393\pi\)
0.487087 + 0.873353i \(0.338059\pi\)
\(770\) 10.3649 12.2143i 0.373526 0.440173i
\(771\) 32.2377 + 5.92522i 1.16101 + 0.213392i