Properties

Label 483.2.y.a.4.2
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.2
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.a.121.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.42823 + 2.00566i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(-1.32872 - 3.83909i) q^{4} +(0.0678834 - 1.42505i) q^{5} +(-1.61241 - 1.86082i) q^{6} +(-0.624376 + 2.57102i) q^{7} +(4.87268 + 1.43075i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-1.42823 + 2.00566i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(-1.32872 - 3.83909i) q^{4} +(0.0678834 - 1.42505i) q^{5} +(-1.61241 - 1.86082i) q^{6} +(-0.624376 + 2.57102i) q^{7} +(4.87268 + 1.43075i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(2.76121 + 2.17144i) q^{10} +(-3.24233 - 4.55322i) q^{11} +(4.04413 - 0.386168i) q^{12} +(0.300255 - 2.08832i) q^{13} +(-4.26486 - 4.92429i) q^{14} +(1.36887 + 0.401937i) q^{15} +(-3.44218 + 2.70696i) q^{16} +(0.748480 - 0.144258i) q^{17} +(2.18851 - 1.12825i) q^{18} +(2.77177 + 0.534216i) q^{19} +(-5.56108 + 1.63288i) q^{20} +(-2.35135 - 1.21292i) q^{21} +13.7630 q^{22} +(3.45206 - 3.32916i) q^{23} +(-2.53920 + 4.39802i) q^{24} +(2.95121 + 0.281806i) q^{25} +(3.75964 + 3.58481i) q^{26} +(0.654861 - 0.755750i) q^{27} +(10.7000 - 1.01914i) q^{28} +(-2.84225 - 3.28013i) q^{29} +(-2.76121 + 2.17144i) q^{30} +(3.67362 - 3.50279i) q^{31} +(-0.0297592 - 0.624723i) q^{32} +(5.18928 - 2.07747i) q^{33} +(-0.779667 + 1.70723i) q^{34} +(3.62144 + 1.06430i) q^{35} +(-0.578158 + 4.02117i) q^{36} +(2.37050 + 1.22208i) q^{37} +(-5.03018 + 4.79627i) q^{38} +(1.95867 + 0.784132i) q^{39} +(2.36966 - 6.84668i) q^{40} +(-6.50294 - 4.17918i) q^{41} +(5.79096 - 2.98369i) q^{42} +(-0.404503 + 0.118773i) q^{43} +(-13.1721 + 18.4976i) q^{44} +(-0.713332 + 1.23553i) q^{45} +(1.74684 + 11.6785i) q^{46} +(0.625055 + 1.08263i) q^{47} +(-1.81913 - 3.98334i) q^{48} +(-6.22031 - 3.21057i) q^{49} +(-4.78021 + 5.51665i) q^{50} +(-0.0362696 + 0.761392i) q^{51} +(-8.41621 + 1.62209i) q^{52} +(-3.23241 - 1.29406i) q^{53} +(0.580490 + 2.39281i) q^{54} +(-6.70865 + 4.31139i) q^{55} +(-6.72087 + 11.6344i) q^{56} +(-1.17263 + 2.56770i) q^{57} +(10.6382 - 1.01583i) q^{58} +(8.84998 + 6.95970i) q^{59} +(-0.275778 - 5.78929i) q^{60} +(0.744274 + 3.06794i) q^{61} +(1.77866 + 12.3708i) q^{62} +(1.73308 - 1.99911i) q^{63} +(-6.07231 - 3.90244i) q^{64} +(-2.95557 - 0.569640i) q^{65} +(-3.24476 + 13.3751i) q^{66} +(6.33874 + 0.605276i) q^{67} +(-1.54834 - 2.68180i) q^{68} +(2.42146 + 4.13963i) q^{69} +(-7.30686 + 5.74335i) q^{70} +(-3.13561 - 6.86603i) q^{71} +(-3.67540 - 3.50449i) q^{72} +(-4.74931 - 13.7222i) q^{73} +(-5.83670 + 3.00903i) q^{74} +(-0.969636 + 2.80158i) q^{75} +(-1.63201 - 11.3509i) q^{76} +(13.7309 - 5.49319i) q^{77} +(-4.37013 + 2.80851i) q^{78} +(-2.14850 + 0.860131i) q^{79} +(3.62387 + 5.08902i) q^{80} +(0.580057 + 0.814576i) q^{81} +(17.6697 - 7.07389i) q^{82} +(14.2054 - 9.12928i) q^{83} +(-1.53221 + 10.6387i) q^{84} +(-0.154765 - 1.07641i) q^{85} +(0.339504 - 0.980932i) q^{86} +(3.85776 - 1.98881i) q^{87} +(-9.28434 - 26.8253i) q^{88} +(-5.72825 - 5.46187i) q^{89} +(-1.45925 - 3.19532i) q^{90} +(5.18165 + 2.07586i) q^{91} +(-17.3678 - 8.82925i) q^{92} +(2.53797 + 4.39588i) q^{93} +(-3.06411 - 0.292587i) q^{94} +(0.949440 - 3.91364i) q^{95} +(0.614129 + 0.118364i) q^{96} +(-9.40326 - 6.04311i) q^{97} +(15.3233 - 7.89043i) q^{98} +(0.795495 + 5.53279i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.42823 + 2.00566i −1.00991 + 1.41822i −0.104084 + 0.994569i \(0.533191\pi\)
−0.905826 + 0.423651i \(0.860748\pi\)
\(3\) −0.235759 + 0.971812i −0.136115 + 0.561076i
\(4\) −1.32872 3.83909i −0.664361 1.91954i
\(5\) 0.0678834 1.42505i 0.0303584 0.637301i −0.931498 0.363746i \(-0.881498\pi\)
0.961857 0.273554i \(-0.0881994\pi\)
\(6\) −1.61241 1.86082i −0.658264 0.759677i
\(7\) −0.624376 + 2.57102i −0.235992 + 0.971755i
\(8\) 4.87268 + 1.43075i 1.72275 + 0.505846i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 2.76121 + 2.17144i 0.873173 + 0.686671i
\(11\) −3.24233 4.55322i −0.977600 1.37285i −0.927385 0.374109i \(-0.877949\pi\)
−0.0502156 0.998738i \(-0.515991\pi\)
\(12\) 4.04413 0.386168i 1.16744 0.111477i
\(13\) 0.300255 2.08832i 0.0832758 0.579196i −0.904871 0.425685i \(-0.860033\pi\)
0.988147 0.153511i \(-0.0490579\pi\)
\(14\) −4.26486 4.92429i −1.13983 1.31607i
\(15\) 1.36887 + 0.401937i 0.353442 + 0.103780i
\(16\) −3.44218 + 2.70696i −0.860544 + 0.676739i
\(17\) 0.748480 0.144258i 0.181533 0.0349876i −0.0976744 0.995218i \(-0.531140\pi\)
0.279208 + 0.960231i \(0.409928\pi\)
\(18\) 2.18851 1.12825i 0.515836 0.265932i
\(19\) 2.77177 + 0.534216i 0.635888 + 0.122557i 0.497000 0.867751i \(-0.334435\pi\)
0.138889 + 0.990308i \(0.455647\pi\)
\(20\) −5.56108 + 1.63288i −1.24350 + 0.365123i
\(21\) −2.35135 1.21292i −0.513106 0.264680i
\(22\) 13.7630 2.93429
\(23\) 3.45206 3.32916i 0.719804 0.694177i
\(24\) −2.53920 + 4.39802i −0.518311 + 0.897741i
\(25\) 2.95121 + 0.281806i 0.590242 + 0.0563612i
\(26\) 3.75964 + 3.58481i 0.737326 + 0.703039i
\(27\) 0.654861 0.755750i 0.126028 0.145444i
\(28\) 10.7000 1.01914i 2.02211 0.192599i
\(29\) −2.84225 3.28013i −0.527793 0.609105i 0.427772 0.903887i \(-0.359299\pi\)
−0.955565 + 0.294781i \(0.904753\pi\)
\(30\) −2.76121 + 2.17144i −0.504126 + 0.396449i
\(31\) 3.67362 3.50279i 0.659802 0.629120i −0.284315 0.958731i \(-0.591766\pi\)
0.944117 + 0.329611i \(0.106918\pi\)
\(32\) −0.0297592 0.624723i −0.00526074 0.110436i
\(33\) 5.18928 2.07747i 0.903338 0.361642i
\(34\) −0.779667 + 1.70723i −0.133712 + 0.292788i
\(35\) 3.62144 + 1.06430i 0.612136 + 0.179899i
\(36\) −0.578158 + 4.02117i −0.0963596 + 0.670196i
\(37\) 2.37050 + 1.22208i 0.389708 + 0.200909i 0.641934 0.766760i \(-0.278132\pi\)
−0.252226 + 0.967668i \(0.581163\pi\)
\(38\) −5.03018 + 4.79627i −0.816003 + 0.778057i
\(39\) 1.95867 + 0.784132i 0.313638 + 0.125562i
\(40\) 2.36966 6.84668i 0.374676 1.08255i
\(41\) −6.50294 4.17918i −1.01559 0.652679i −0.0767547 0.997050i \(-0.524456\pi\)
−0.938834 + 0.344371i \(0.888092\pi\)
\(42\) 5.79096 2.98369i 0.893565 0.460394i
\(43\) −0.404503 + 0.118773i −0.0616861 + 0.0181127i −0.312430 0.949941i \(-0.601143\pi\)
0.250744 + 0.968053i \(0.419325\pi\)
\(44\) −13.1721 + 18.4976i −1.98576 + 2.78861i
\(45\) −0.713332 + 1.23553i −0.106337 + 0.184181i
\(46\) 1.74684 + 11.6785i 0.257558 + 1.72190i
\(47\) 0.625055 + 1.08263i 0.0911736 + 0.157917i 0.908005 0.418959i \(-0.137605\pi\)
−0.816832 + 0.576876i \(0.804272\pi\)
\(48\) −1.81913 3.98334i −0.262569 0.574945i
\(49\) −6.22031 3.21057i −0.888615 0.458653i
\(50\) −4.78021 + 5.51665i −0.676023 + 0.780172i
\(51\) −0.0362696 + 0.761392i −0.00507875 + 0.106616i
\(52\) −8.41621 + 1.62209i −1.16712 + 0.224944i
\(53\) −3.23241 1.29406i −0.444006 0.177753i 0.138876 0.990310i \(-0.455651\pi\)
−0.582882 + 0.812557i \(0.698075\pi\)
\(54\) 0.580490 + 2.39281i 0.0789947 + 0.325621i
\(55\) −6.70865 + 4.31139i −0.904595 + 0.581348i
\(56\) −6.72087 + 11.6344i −0.898114 + 1.55472i
\(57\) −1.17263 + 2.56770i −0.155318 + 0.340100i
\(58\) 10.6382 1.01583i 1.39687 0.133385i
\(59\) 8.84998 + 6.95970i 1.15217 + 0.906076i 0.996652 0.0817568i \(-0.0260531\pi\)
0.155518 + 0.987833i \(0.450295\pi\)
\(60\) −0.275778 5.78929i −0.0356028 0.747394i
\(61\) 0.744274 + 3.06794i 0.0952945 + 0.392809i 0.999405 0.0344894i \(-0.0109805\pi\)
−0.904111 + 0.427299i \(0.859465\pi\)
\(62\) 1.77866 + 12.3708i 0.225890 + 1.57110i
\(63\) 1.73308 1.99911i 0.218347 0.251864i
\(64\) −6.07231 3.90244i −0.759039 0.487805i
\(65\) −2.95557 0.569640i −0.366594 0.0706552i
\(66\) −3.24476 + 13.3751i −0.399402 + 1.64636i
\(67\) 6.33874 + 0.605276i 0.774400 + 0.0739462i 0.474771 0.880110i \(-0.342531\pi\)
0.299629 + 0.954056i \(0.403137\pi\)
\(68\) −1.54834 2.68180i −0.187764 0.325216i
\(69\) 2.42146 + 4.13963i 0.291509 + 0.498353i
\(70\) −7.30686 + 5.74335i −0.873337 + 0.686461i
\(71\) −3.13561 6.86603i −0.372129 0.814848i −0.999351 0.0360082i \(-0.988536\pi\)
0.627223 0.778840i \(-0.284192\pi\)
\(72\) −3.67540 3.50449i −0.433151 0.413008i
\(73\) −4.74931 13.7222i −0.555864 1.60606i −0.776095 0.630616i \(-0.782802\pi\)
0.220231 0.975448i \(-0.429319\pi\)
\(74\) −5.83670 + 3.00903i −0.678502 + 0.349792i
\(75\) −0.969636 + 2.80158i −0.111964 + 0.323499i
\(76\) −1.63201 11.3509i −0.187205 1.30204i
\(77\) 13.7309 5.49319i 1.56478 0.626007i
\(78\) −4.37013 + 2.80851i −0.494819 + 0.318001i
\(79\) −2.14850 + 0.860131i −0.241725 + 0.0967723i −0.489362 0.872081i \(-0.662770\pi\)
0.247637 + 0.968853i \(0.420346\pi\)
\(80\) 3.62387 + 5.08902i 0.405162 + 0.568970i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 17.6697 7.07389i 1.95129 0.781180i
\(83\) 14.2054 9.12928i 1.55925 1.00207i 0.576506 0.817093i \(-0.304416\pi\)
0.982743 0.184976i \(-0.0592207\pi\)
\(84\) −1.53221 + 10.6387i −0.167178 + 1.16077i
\(85\) −0.154765 1.07641i −0.0167866 0.116753i
\(86\) 0.339504 0.980932i 0.0366096 0.105777i
\(87\) 3.85776 1.98881i 0.413595 0.213223i
\(88\) −9.28434 26.8253i −0.989714 2.85959i
\(89\) −5.72825 5.46187i −0.607193 0.578957i 0.322831 0.946457i \(-0.395365\pi\)
−0.930024 + 0.367499i \(0.880214\pi\)
\(90\) −1.45925 3.19532i −0.153819 0.336816i
\(91\) 5.18165 + 2.07586i 0.543184 + 0.217609i
\(92\) −17.3678 8.82925i −1.81071 0.920513i
\(93\) 2.53797 + 4.39588i 0.263175 + 0.455832i
\(94\) −3.06411 0.292587i −0.316039 0.0301780i
\(95\) 0.949440 3.91364i 0.0974105 0.401531i
\(96\) 0.614129 + 0.118364i 0.0626793 + 0.0120804i
\(97\) −9.40326 6.04311i −0.954757 0.613585i −0.0322145 0.999481i \(-0.510256\pi\)
−0.922542 + 0.385896i \(0.873892\pi\)
\(98\) 15.3233 7.89043i 1.54789 0.797054i
\(99\) 0.795495 + 5.53279i 0.0799502 + 0.556066i
\(100\) −2.83946 11.7044i −0.283946 1.17044i
\(101\) −0.0930046 1.95241i −0.00925430 0.194272i −0.998760 0.0497795i \(-0.984148\pi\)
0.989506 0.144492i \(-0.0461549\pi\)
\(102\) −1.47530 1.16018i −0.146076 0.114875i
\(103\) −1.83617 + 0.175333i −0.180923 + 0.0172761i −0.185124 0.982715i \(-0.559269\pi\)
0.00420107 + 0.999991i \(0.498663\pi\)
\(104\) 4.45091 9.74613i 0.436448 0.955687i
\(105\) −1.88808 + 3.26844i −0.184258 + 0.318967i
\(106\) 7.21208 4.63492i 0.700499 0.450183i
\(107\) 4.45319 + 18.3563i 0.430506 + 1.77457i 0.611667 + 0.791115i \(0.290499\pi\)
−0.181161 + 0.983453i \(0.557986\pi\)
\(108\) −3.77152 1.50989i −0.362915 0.145289i
\(109\) 17.6926 3.40998i 1.69465 0.326617i 0.751687 0.659520i \(-0.229241\pi\)
0.942961 + 0.332904i \(0.108028\pi\)
\(110\) 0.934280 19.6130i 0.0890801 1.87002i
\(111\) −1.74650 + 2.01557i −0.165770 + 0.191309i
\(112\) −4.81043 10.5401i −0.454543 0.995943i
\(113\) −5.56925 12.1950i −0.523911 1.14721i −0.967937 0.251192i \(-0.919178\pi\)
0.444026 0.896014i \(-0.353550\pi\)
\(114\) −3.47516 6.01915i −0.325478 0.563745i
\(115\) −4.50987 5.14534i −0.420547 0.479806i
\(116\) −8.81616 + 15.2700i −0.818560 + 1.41779i
\(117\) −1.22380 + 1.71859i −0.113140 + 0.158884i
\(118\) −26.5986 + 7.81006i −2.44860 + 0.718974i
\(119\) −0.0964435 + 2.01443i −0.00884096 + 0.184662i
\(120\) 6.09501 + 3.91703i 0.556396 + 0.357574i
\(121\) −6.62134 + 19.1311i −0.601940 + 1.73919i
\(122\) −7.21625 2.88895i −0.653328 0.261553i
\(123\) 5.59451 5.33435i 0.504440 0.480982i
\(124\) −18.3288 9.44913i −1.64597 0.848557i
\(125\) 1.61710 11.2472i 0.144638 1.00598i
\(126\) 1.53431 + 6.33116i 0.136688 + 0.564024i
\(127\) −4.23659 + 9.27683i −0.375936 + 0.823186i 0.623217 + 0.782049i \(0.285825\pi\)
−0.999154 + 0.0411371i \(0.986902\pi\)
\(128\) 17.6609 7.07036i 1.56102 0.624937i
\(129\) −0.0200596 0.421102i −0.00176615 0.0370760i
\(130\) 5.36374 5.11432i 0.470431 0.448555i
\(131\) 13.8406 10.8844i 1.20926 0.950971i 0.209617 0.977784i \(-0.432778\pi\)
0.999640 + 0.0268129i \(0.00853584\pi\)
\(132\) −14.8707 17.1617i −1.29433 1.49374i
\(133\) −3.10411 + 6.79274i −0.269160 + 0.589005i
\(134\) −10.2671 + 11.8489i −0.886946 + 1.02359i
\(135\) −1.03252 0.984510i −0.0888656 0.0847332i
\(136\) 3.85350 + 0.367965i 0.330435 + 0.0315527i
\(137\) 0.997503 1.72773i 0.0852225 0.147610i −0.820264 0.571986i \(-0.806173\pi\)
0.905486 + 0.424376i \(0.139507\pi\)
\(138\) −11.7611 1.05570i −1.00117 0.0898673i
\(139\) −11.1391 −0.944803 −0.472401 0.881384i \(-0.656613\pi\)
−0.472401 + 0.881384i \(0.656613\pi\)
\(140\) −0.725965 15.3172i −0.0613553 1.29454i
\(141\) −1.19947 + 0.352197i −0.101014 + 0.0296603i
\(142\) 18.2493 + 3.51727i 1.53145 + 0.295163i
\(143\) −10.4821 + 5.40390i −0.876558 + 0.451897i
\(144\) 4.29993 0.828743i 0.358327 0.0690619i
\(145\) −4.86729 + 3.82768i −0.404206 + 0.317871i
\(146\) 34.3053 + 10.0729i 2.83912 + 0.833642i
\(147\) 4.58656 5.28805i 0.378293 0.436151i
\(148\) 1.54193 10.7244i 0.126746 0.881538i
\(149\) −14.9131 + 1.42403i −1.22173 + 0.116661i −0.685920 0.727677i \(-0.740600\pi\)
−0.535810 + 0.844338i \(0.679994\pi\)
\(150\) −4.23417 5.94606i −0.345718 0.485494i
\(151\) −8.64255 6.79658i −0.703321 0.553098i 0.201188 0.979553i \(-0.435520\pi\)
−0.904509 + 0.426455i \(0.859762\pi\)
\(152\) 12.7416 + 6.56877i 1.03348 + 0.532798i
\(153\) −0.731378 0.214752i −0.0591284 0.0173617i
\(154\) −8.59331 + 35.3850i −0.692468 + 2.85141i
\(155\) −4.74227 5.47287i −0.380908 0.439591i
\(156\) 0.407829 8.56139i 0.0326525 0.685460i
\(157\) −7.37126 21.2978i −0.588290 1.69975i −0.707348 0.706866i \(-0.750108\pi\)
0.119057 0.992887i \(-0.462013\pi\)
\(158\) 1.34342 5.53764i 0.106877 0.440551i
\(159\) 2.01966 2.83621i 0.160169 0.224926i
\(160\) −0.892280 −0.0705409
\(161\) 6.40395 + 10.9540i 0.504702 + 0.863294i
\(162\) −2.46222 −0.193450
\(163\) 5.10194 7.16467i 0.399615 0.561180i −0.564917 0.825148i \(-0.691092\pi\)
0.964532 + 0.263968i \(0.0850312\pi\)
\(164\) −7.40367 + 30.5183i −0.578129 + 2.38308i
\(165\) −2.60823 7.53600i −0.203051 0.586677i
\(166\) −1.97832 + 41.5300i −0.153547 + 3.22336i
\(167\) 1.81227 + 2.09147i 0.140237 + 0.161843i 0.821523 0.570175i \(-0.193124\pi\)
−0.681286 + 0.732017i \(0.738579\pi\)
\(168\) −9.72198 9.27434i −0.750067 0.715531i
\(169\) 8.20248 + 2.40846i 0.630960 + 0.185267i
\(170\) 2.37996 + 1.22696i 0.182535 + 0.0941032i
\(171\) −2.21886 1.74493i −0.169680 0.133438i
\(172\) 0.993451 + 1.39511i 0.0757499 + 0.106376i
\(173\) −22.6921 + 2.16683i −1.72525 + 0.164741i −0.910065 0.414466i \(-0.863968\pi\)
−0.815181 + 0.579207i \(0.803362\pi\)
\(174\) −1.52086 + 10.5778i −0.115296 + 0.801904i
\(175\) −2.56719 + 7.41167i −0.194062 + 0.560269i
\(176\) 23.4860 + 6.89613i 1.77033 + 0.519815i
\(177\) −8.84998 + 6.95970i −0.665206 + 0.523123i
\(178\) 19.1359 3.68815i 1.43430 0.276438i
\(179\) −17.0935 + 8.81233i −1.27763 + 0.658665i −0.957425 0.288683i \(-0.906783\pi\)
−0.320207 + 0.947348i \(0.603752\pi\)
\(180\) 5.69112 + 1.09687i 0.424191 + 0.0817561i
\(181\) 13.8243 4.05919i 1.02755 0.301717i 0.275838 0.961204i \(-0.411045\pi\)
0.751716 + 0.659487i \(0.229226\pi\)
\(182\) −11.5641 + 7.42785i −0.857185 + 0.550589i
\(183\) −3.15693 −0.233367
\(184\) 21.5840 11.2829i 1.59119 0.831785i
\(185\) 1.90244 3.29512i 0.139870 0.242262i
\(186\) −12.4415 1.18802i −0.912252 0.0871095i
\(187\) −3.08366 2.94026i −0.225499 0.215013i
\(188\) 3.32578 3.83815i 0.242557 0.279926i
\(189\) 1.53417 + 2.15553i 0.111594 + 0.156792i
\(190\) 6.49344 + 7.49383i 0.471084 + 0.543660i
\(191\) 11.4979 9.04205i 0.831959 0.654260i −0.108527 0.994094i \(-0.534613\pi\)
0.940485 + 0.339834i \(0.110371\pi\)
\(192\) 5.22404 4.98111i 0.377013 0.359481i
\(193\) −0.395840 8.30970i −0.0284932 0.598145i −0.967290 0.253674i \(-0.918361\pi\)
0.938797 0.344472i \(-0.111942\pi\)
\(194\) 25.5505 10.2289i 1.83442 0.734389i
\(195\) 1.25039 2.73796i 0.0895420 0.196070i
\(196\) −4.06061 + 28.1463i −0.290043 + 2.01045i
\(197\) −2.22518 + 15.4765i −0.158538 + 1.10265i 0.742793 + 0.669521i \(0.233501\pi\)
−0.901331 + 0.433132i \(0.857408\pi\)
\(198\) −12.2331 6.30658i −0.869366 0.448189i
\(199\) 10.3788 9.89617i 0.735734 0.701521i −0.226419 0.974030i \(-0.572702\pi\)
0.962153 + 0.272509i \(0.0878535\pi\)
\(200\) 13.9771 + 5.59559i 0.988330 + 0.395668i
\(201\) −2.08263 + 6.01736i −0.146897 + 0.424432i
\(202\) 4.04871 + 2.60194i 0.284866 + 0.183072i
\(203\) 10.2079 5.25945i 0.716456 0.369141i
\(204\) 2.97124 0.872436i 0.208029 0.0610827i
\(205\) −6.39698 + 8.98330i −0.446784 + 0.627421i
\(206\) 2.27081 3.93316i 0.158215 0.274036i
\(207\) −4.59382 + 1.37725i −0.319293 + 0.0957252i
\(208\) 4.61946 + 8.00115i 0.320302 + 0.554780i
\(209\) −6.55461 14.3526i −0.453392 0.992790i
\(210\) −3.85879 8.45494i −0.266282 0.583446i
\(211\) −17.3094 + 19.9761i −1.19163 + 1.37521i −0.282196 + 0.959357i \(0.591063\pi\)
−0.909431 + 0.415855i \(0.863482\pi\)
\(212\) −0.673046 + 14.1290i −0.0462250 + 0.970382i
\(213\) 7.41174 1.42850i 0.507844 0.0978789i
\(214\) −43.1767 17.2853i −2.95150 1.18160i
\(215\) 0.141798 + 0.584498i 0.00967053 + 0.0398625i
\(216\) 4.27221 2.74559i 0.290687 0.186813i
\(217\) 6.71203 + 11.6320i 0.455643 + 0.789634i
\(218\) −18.4298 + 40.3557i −1.24823 + 2.73324i
\(219\) 14.4551 1.38029i 0.976785 0.0932717i
\(220\) 25.4658 + 20.0265i 1.71690 + 1.35019i
\(221\) −0.0765213 1.60638i −0.00514738 0.108057i
\(222\) −1.54815 6.38158i −0.103905 0.428303i
\(223\) 0.290482 + 2.02035i 0.0194521 + 0.135292i 0.997233 0.0743359i \(-0.0236837\pi\)
−0.977781 + 0.209628i \(0.932775\pi\)
\(224\) 1.62476 + 0.313551i 0.108559 + 0.0209500i
\(225\) −2.49401 1.60280i −0.166267 0.106853i
\(226\) 32.4132 + 6.24713i 2.15609 + 0.415553i
\(227\) 0.769262 3.17094i 0.0510577 0.210463i −0.940569 0.339604i \(-0.889707\pi\)
0.991626 + 0.129141i \(0.0412221\pi\)
\(228\) 11.4157 + 1.09007i 0.756024 + 0.0721915i
\(229\) −3.31943 5.74942i −0.219354 0.379932i 0.735257 0.677789i \(-0.237062\pi\)
−0.954611 + 0.297857i \(0.903728\pi\)
\(230\) 16.7610 1.69656i 1.10518 0.111868i
\(231\) 2.10117 + 14.6389i 0.138247 + 0.963168i
\(232\) −9.15634 20.0496i −0.601143 1.31632i
\(233\) 8.31221 + 7.92567i 0.544551 + 0.519228i 0.911658 0.410951i \(-0.134803\pi\)
−0.367107 + 0.930179i \(0.619652\pi\)
\(234\) −1.69905 4.90907i −0.111070 0.320916i
\(235\) 1.58523 0.817240i 0.103409 0.0533109i
\(236\) 14.9598 43.2234i 0.973798 2.81360i
\(237\) −0.329356 2.29072i −0.0213940 0.148798i
\(238\) −3.90253 3.07050i −0.252963 0.199031i
\(239\) −20.6903 + 13.2969i −1.33834 + 0.860102i −0.996813 0.0797683i \(-0.974582\pi\)
−0.341531 + 0.939870i \(0.610946\pi\)
\(240\) −5.79993 + 2.32194i −0.374384 + 0.149881i
\(241\) −6.16349 8.65541i −0.397025 0.557544i 0.566876 0.823803i \(-0.308152\pi\)
−0.963902 + 0.266259i \(0.914212\pi\)
\(242\) −28.9138 40.6038i −1.85865 2.61011i
\(243\) −0.928368 + 0.371662i −0.0595548 + 0.0238422i
\(244\) 10.7892 6.93377i 0.690705 0.443889i
\(245\) −4.99747 + 8.64629i −0.319277 + 0.552391i
\(246\) 2.70869 + 18.8394i 0.172700 + 1.20115i
\(247\) 1.94785 5.62795i 0.123939 0.358098i
\(248\) 22.9120 11.8120i 1.45491 0.750060i
\(249\) 5.52288 + 15.9573i 0.349998 + 1.01125i
\(250\) 20.2485 + 19.3069i 1.28063 + 1.22108i
\(251\) 1.33883 + 2.93163i 0.0845061 + 0.185043i 0.947168 0.320739i \(-0.103931\pi\)
−0.862661 + 0.505782i \(0.831204\pi\)
\(252\) −9.97754 3.99718i −0.628526 0.251799i
\(253\) −26.3511 4.92376i −1.65668 0.309554i
\(254\) −12.5554 21.7466i −0.787796 1.36450i
\(255\) 1.08256 + 0.103372i 0.0677923 + 0.00647338i
\(256\) −7.63951 + 31.4905i −0.477470 + 1.96816i
\(257\) 4.82373 + 0.929698i 0.300896 + 0.0579930i 0.337465 0.941338i \(-0.390431\pi\)
−0.0365686 + 0.999331i \(0.511643\pi\)
\(258\) 0.873240 + 0.561197i 0.0543655 + 0.0349386i
\(259\) −4.62208 + 5.33158i −0.287202 + 0.331288i
\(260\) 1.74024 + 12.1036i 0.107925 + 0.750634i
\(261\) 1.02325 + 4.21789i 0.0633376 + 0.261081i
\(262\) 2.06287 + 43.3049i 0.127444 + 2.67539i
\(263\) 14.1277 + 11.1102i 0.871152 + 0.685082i 0.950150 0.311793i \(-0.100930\pi\)
−0.0789977 + 0.996875i \(0.525172\pi\)
\(264\) 28.2580 2.69832i 1.73916 0.166070i
\(265\) −2.06353 + 4.51849i −0.126761 + 0.277569i
\(266\) −9.19058 15.9274i −0.563511 0.976570i
\(267\) 6.65839 4.27909i 0.407487 0.261876i
\(268\) −6.09871 25.1392i −0.372538 1.53562i
\(269\) 19.9224 + 7.97572i 1.21469 + 0.486288i 0.888439 0.458996i \(-0.151791\pi\)
0.326250 + 0.945283i \(0.394215\pi\)
\(270\) 3.44928 0.664794i 0.209916 0.0404581i
\(271\) −0.242101 + 5.08233i −0.0147066 + 0.308730i 0.979514 + 0.201375i \(0.0645410\pi\)
−0.994221 + 0.107355i \(0.965762\pi\)
\(272\) −2.18590 + 2.52266i −0.132540 + 0.152959i
\(273\) −3.23897 + 4.54618i −0.196031 + 0.275147i
\(274\) 2.04058 + 4.46824i 0.123276 + 0.269937i
\(275\) −8.28567 14.3512i −0.499645 0.865410i
\(276\) 12.6750 14.7966i 0.762944 0.890651i
\(277\) −4.20327 + 7.28027i −0.252550 + 0.437429i −0.964227 0.265077i \(-0.914603\pi\)
0.711677 + 0.702507i \(0.247936\pi\)
\(278\) 15.9091 22.3412i 0.954165 1.33994i
\(279\) −4.87032 + 1.43005i −0.291578 + 0.0856151i
\(280\) 16.1234 + 10.3673i 0.963557 + 0.619567i
\(281\) 19.5039 + 12.5344i 1.16350 + 0.747738i 0.972283 0.233809i \(-0.0751189\pi\)
0.191221 + 0.981547i \(0.438755\pi\)
\(282\) 1.00673 2.90875i 0.0599499 0.173214i
\(283\) 17.8393 + 7.14178i 1.06044 + 0.424535i 0.835301 0.549793i \(-0.185293\pi\)
0.225135 + 0.974327i \(0.427718\pi\)
\(284\) −22.1930 + 21.1609i −1.31691 + 1.25567i
\(285\) 3.57949 + 1.84535i 0.212030 + 0.109309i
\(286\) 4.13242 28.7416i 0.244355 1.69953i
\(287\) 14.8051 14.1098i 0.873915 0.832876i
\(288\) −0.259814 + 0.568913i −0.0153097 + 0.0335235i
\(289\) −15.2428 + 6.10231i −0.896638 + 0.358960i
\(290\) −0.725444 15.2289i −0.0425995 0.894274i
\(291\) 8.08967 7.71348i 0.474225 0.452172i
\(292\) −46.3703 + 36.4660i −2.71362 + 2.13401i
\(293\) 21.2280 + 24.4984i 1.24015 + 1.43121i 0.863108 + 0.505020i \(0.168515\pi\)
0.377047 + 0.926194i \(0.376940\pi\)
\(294\) 4.05539 + 16.7516i 0.236515 + 0.976976i
\(295\) 10.5187 12.1392i 0.612421 0.706771i
\(296\) 9.80222 + 9.34639i 0.569742 + 0.543248i
\(297\) −5.56437 0.531333i −0.322878 0.0308311i
\(298\) 18.4432 31.9445i 1.06839 1.85050i
\(299\) −5.91585 8.20861i −0.342122 0.474716i
\(300\) 12.0439 0.695354
\(301\) −0.0528054 1.11414i −0.00304365 0.0642182i
\(302\) 25.9752 7.62701i 1.49470 0.438885i
\(303\) 1.91930 + 0.369914i 0.110261 + 0.0212510i
\(304\) −10.9870 + 5.66421i −0.630149 + 0.324865i
\(305\) 4.42248 0.852363i 0.253230 0.0488062i
\(306\) 1.47530 1.16018i 0.0843370 0.0663234i
\(307\) 24.5364 + 7.20454i 1.40037 + 0.411185i 0.892810 0.450434i \(-0.148731\pi\)
0.507556 + 0.861619i \(0.330549\pi\)
\(308\) −39.3333 45.4151i −2.24123 2.58777i
\(309\) 0.262503 1.82575i 0.0149333 0.103863i
\(310\) 17.7498 1.69490i 1.00812 0.0962638i
\(311\) −6.20774 8.71755i −0.352009 0.494327i 0.600168 0.799874i \(-0.295100\pi\)
−0.952177 + 0.305547i \(0.901161\pi\)
\(312\) 8.42206 + 6.62318i 0.476805 + 0.374964i
\(313\) −9.28618 4.78736i −0.524886 0.270598i 0.175354 0.984506i \(-0.443893\pi\)
−0.700240 + 0.713908i \(0.746923\pi\)
\(314\) 53.2442 + 15.6339i 3.00474 + 0.882272i
\(315\) −2.73118 2.60542i −0.153884 0.146799i
\(316\) 6.15688 + 7.10542i 0.346352 + 0.399711i
\(317\) −0.853251 + 17.9119i −0.0479233 + 1.00603i 0.839004 + 0.544125i \(0.183138\pi\)
−0.886927 + 0.461909i \(0.847165\pi\)
\(318\) 2.80396 + 8.10150i 0.157238 + 0.454310i
\(319\) −5.71964 + 23.5767i −0.320238 + 1.32004i
\(320\) −5.97337 + 8.38843i −0.333922 + 0.468927i
\(321\) −18.8887 −1.05427
\(322\) −31.1163 2.80059i −1.73404 0.156071i
\(323\) 2.15168 0.119723
\(324\) 2.35650 3.30924i 0.130916 0.183846i
\(325\) 1.47462 6.07846i 0.0817971 0.337172i
\(326\) 7.08320 + 20.4656i 0.392302 + 1.13348i
\(327\) −0.857343 + 17.9978i −0.0474112 + 0.995283i
\(328\) −25.7074 29.6679i −1.41945 1.63814i
\(329\) −3.17373 + 0.931063i −0.174973 + 0.0513312i
\(330\) 18.8398 + 5.53187i 1.03710 + 0.304520i
\(331\) 3.29787 + 1.70017i 0.181267 + 0.0934498i 0.546472 0.837478i \(-0.315971\pi\)
−0.365204 + 0.930927i \(0.619001\pi\)
\(332\) −53.9232 42.4057i −2.95942 2.32731i
\(333\) −1.54700 2.17245i −0.0847750 0.119050i
\(334\) −6.78311 + 0.647708i −0.371155 + 0.0354410i
\(335\) 1.29284 8.99191i 0.0706355 0.491281i
\(336\) 11.3771 2.18992i 0.620670 0.119470i
\(337\) −20.3266 5.96842i −1.10726 0.325120i −0.323526 0.946219i \(-0.604868\pi\)
−0.783732 + 0.621099i \(0.786687\pi\)
\(338\) −16.5456 + 13.0116i −0.899961 + 0.707737i
\(339\) 13.1642 2.53719i 0.714982 0.137801i
\(340\) −3.92680 + 2.02441i −0.212961 + 0.109789i
\(341\) −27.8601 5.36959i −1.50871 0.290780i
\(342\) 6.66878 1.95813i 0.360606 0.105884i
\(343\) 12.1383 13.9879i 0.655404 0.755278i
\(344\) −2.14095 −0.115432
\(345\) 6.06355 3.16968i 0.326450 0.170650i
\(346\) 28.0635 48.6074i 1.50870 2.61315i
\(347\) −21.3932 2.04280i −1.14845 0.109663i −0.496576 0.867993i \(-0.665410\pi\)
−0.651871 + 0.758330i \(0.726016\pi\)
\(348\) −12.7611 12.1677i −0.684068 0.652257i
\(349\) −0.341576 + 0.394200i −0.0182842 + 0.0211010i −0.764818 0.644246i \(-0.777171\pi\)
0.746534 + 0.665347i \(0.231717\pi\)
\(350\) −11.1988 15.7345i −0.598600 0.841043i
\(351\) −1.38162 1.59448i −0.0737455 0.0851069i
\(352\) −2.74801 + 2.16106i −0.146470 + 0.115185i
\(353\) −18.0887 + 17.2476i −0.962766 + 0.917996i −0.996679 0.0814291i \(-0.974052\pi\)
0.0339130 + 0.999425i \(0.489203\pi\)
\(354\) −1.31904 27.6901i −0.0701064 1.47171i
\(355\) −9.99728 + 4.00231i −0.530600 + 0.212420i
\(356\) −13.3574 + 29.2486i −0.707939 + 1.55017i
\(357\) −1.93491 0.568645i −0.102406 0.0300959i
\(358\) 6.73888 46.8699i 0.356161 2.47715i
\(359\) −11.2497 5.79964i −0.593738 0.306093i 0.135043 0.990840i \(-0.456883\pi\)
−0.728781 + 0.684746i \(0.759913\pi\)
\(360\) −5.24356 + 4.99973i −0.276360 + 0.263509i
\(361\) −10.2416 4.10014i −0.539034 0.215797i
\(362\) −11.6029 + 33.5244i −0.609835 + 1.76200i
\(363\) −17.0308 10.9450i −0.893885 0.574465i
\(364\) 1.08445 22.6511i 0.0568406 1.18724i
\(365\) −19.8772 + 5.83647i −1.04042 + 0.305495i
\(366\) 4.50881 6.33174i 0.235679 0.330965i
\(367\) −6.90808 + 11.9651i −0.360599 + 0.624576i −0.988060 0.154073i \(-0.950761\pi\)
0.627461 + 0.778648i \(0.284094\pi\)
\(368\) −2.87072 + 20.8041i −0.149647 + 1.08449i
\(369\) 3.86503 + 6.69443i 0.201205 + 0.348498i
\(370\) 3.89179 + 8.52183i 0.202325 + 0.443029i
\(371\) 5.34531 7.50262i 0.277514 0.389517i
\(372\) 13.5039 15.5844i 0.700147 0.808013i
\(373\) −1.21763 + 25.5612i −0.0630464 + 1.32351i 0.716687 + 0.697395i \(0.245658\pi\)
−0.779733 + 0.626112i \(0.784645\pi\)
\(374\) 10.3013 1.98542i 0.532670 0.102664i
\(375\) 10.5489 + 4.22314i 0.544743 + 0.218082i
\(376\) 1.49673 + 6.16959i 0.0771878 + 0.318172i
\(377\) −7.70337 + 4.95066i −0.396744 + 0.254972i
\(378\) −6.51442 0.00156281i −0.335066 8.03824e-5i
\(379\) 11.6282 25.4622i 0.597301 1.30791i −0.333627 0.942705i \(-0.608273\pi\)
0.930928 0.365202i \(-0.119000\pi\)
\(380\) −16.2864 + 1.55516i −0.835473 + 0.0797780i
\(381\) −8.01652 6.30426i −0.410699 0.322977i
\(382\) 1.71370 + 35.9750i 0.0876806 + 1.84064i
\(383\) 1.08423 + 4.46925i 0.0554015 + 0.228368i 0.992781 0.119942i \(-0.0382708\pi\)
−0.937379 + 0.348310i \(0.886756\pi\)
\(384\) 2.70734 + 18.8300i 0.138158 + 0.960912i
\(385\) −6.89595 19.9400i −0.351450 1.01624i
\(386\) 17.2318 + 11.0742i 0.877076 + 0.563663i
\(387\) 0.413961 + 0.0797845i 0.0210428 + 0.00405567i
\(388\) −10.7057 + 44.1296i −0.543501 + 2.24034i
\(389\) 21.5092 + 2.05388i 1.09056 + 0.104136i 0.624806 0.780780i \(-0.285178\pi\)
0.465752 + 0.884915i \(0.345784\pi\)
\(390\) 3.70560 + 6.41829i 0.187640 + 0.325003i
\(391\) 2.10354 2.98979i 0.106381 0.151200i
\(392\) −25.7161 24.5438i −1.29886 1.23965i
\(393\) 7.31450 + 16.0165i 0.368968 + 0.807927i
\(394\) −27.8626 26.5669i −1.40370 1.33842i
\(395\) 1.07988 + 3.12011i 0.0543346 + 0.156990i
\(396\) 20.1839 10.4055i 1.01428 0.522897i
\(397\) 11.2371 32.4676i 0.563976 1.62950i −0.196770 0.980450i \(-0.563045\pi\)
0.760745 0.649050i \(-0.224834\pi\)
\(398\) 5.02511 + 34.9504i 0.251886 + 1.75190i
\(399\) −5.86944 4.61806i −0.293840 0.231192i
\(400\) −10.9214 + 7.01877i −0.546071 + 0.350938i
\(401\) 12.3757 4.95448i 0.618013 0.247415i −0.0414640 0.999140i \(-0.513202\pi\)
0.659477 + 0.751725i \(0.270778\pi\)
\(402\) −9.09434 12.7712i −0.453584 0.636970i
\(403\) −6.21193 8.72344i −0.309438 0.434545i
\(404\) −7.37189 + 2.95126i −0.366765 + 0.146831i
\(405\) 1.20019 0.771312i 0.0596377 0.0383268i
\(406\) −4.03054 + 27.9854i −0.200032 + 1.38889i
\(407\) −2.12157 14.7558i −0.105162 0.731418i
\(408\) −1.26609 + 3.65812i −0.0626808 + 0.181104i
\(409\) −10.3506 + 5.33611i −0.511804 + 0.263853i −0.694727 0.719274i \(-0.744475\pi\)
0.182922 + 0.983127i \(0.441444\pi\)
\(410\) −8.88115 25.6604i −0.438609 1.26728i
\(411\) 1.44385 + 1.37671i 0.0712201 + 0.0679082i
\(412\) 3.11288 + 6.81626i 0.153361 + 0.335813i
\(413\) −23.4193 + 18.4080i −1.15239 + 0.905800i
\(414\) 3.79873 11.1807i 0.186697 0.549501i
\(415\) −12.0453 20.8631i −0.591283 1.02413i
\(416\) −1.31356 0.125430i −0.0644025 0.00614969i
\(417\) 2.62613 10.8251i 0.128602 0.530106i
\(418\) 38.1480 + 7.35242i 1.86588 + 0.359619i
\(419\) 1.51876 + 0.976046i 0.0741962 + 0.0476830i 0.577213 0.816594i \(-0.304140\pi\)
−0.503017 + 0.864277i \(0.667777\pi\)
\(420\) 15.0566 + 2.90567i 0.734686 + 0.141782i
\(421\) 3.17109 + 22.0554i 0.154550 + 1.07492i 0.908470 + 0.417950i \(0.137251\pi\)
−0.753921 + 0.656966i \(0.771840\pi\)
\(422\) −15.3436 63.2472i −0.746916 3.07883i
\(423\) −0.0594826 1.24869i −0.00289214 0.0607136i
\(424\) −13.8990 10.9303i −0.674997 0.530823i
\(425\) 2.24957 0.214808i 0.109120 0.0104197i
\(426\) −7.72056 + 16.9057i −0.374063 + 0.819083i
\(427\) −8.35244 0.00200375i −0.404203 9.69684e-5i
\(428\) 64.5544 41.4866i 3.12035 2.00533i
\(429\) −2.78033 11.4607i −0.134235 0.553326i
\(430\) −1.37483 0.550398i −0.0663001 0.0265425i
\(431\) 17.8536 3.44100i 0.859978 0.165747i 0.259848 0.965650i \(-0.416328\pi\)
0.600130 + 0.799902i \(0.295115\pi\)
\(432\) −0.208364 + 4.37410i −0.0100249 + 0.210449i
\(433\) −0.525460 + 0.606413i −0.0252520 + 0.0291423i −0.768235 0.640168i \(-0.778865\pi\)
0.742983 + 0.669310i \(0.233410\pi\)
\(434\) −32.9163 3.15109i −1.58003 0.151257i
\(435\) −2.57227 5.63249i −0.123331 0.270057i
\(436\) −36.5998 63.3927i −1.75281 3.03596i
\(437\) 11.3468 7.38352i 0.542792 0.353202i
\(438\) −17.8768 + 30.9635i −0.854185 + 1.47949i
\(439\) 11.4192 16.0361i 0.545010 0.765359i −0.446585 0.894741i \(-0.647360\pi\)
0.991595 + 0.129382i \(0.0412993\pi\)
\(440\) −38.8576 + 11.4096i −1.85247 + 0.543933i
\(441\) 4.05766 + 5.70398i 0.193222 + 0.271618i
\(442\) 3.33115 + 2.14080i 0.158447 + 0.101828i
\(443\) −5.81854 + 16.8116i −0.276447 + 0.798742i 0.718240 + 0.695796i \(0.244948\pi\)
−0.994687 + 0.102946i \(0.967173\pi\)
\(444\) 10.0585 + 4.02684i 0.477358 + 0.191105i
\(445\) −8.17228 + 7.79225i −0.387403 + 0.369388i
\(446\) −4.46701 2.30290i −0.211519 0.109046i
\(447\) 2.13201 14.8285i 0.100841 0.701362i
\(448\) 13.8247 13.1755i 0.653154 0.622482i
\(449\) 4.26227 9.33307i 0.201149 0.440455i −0.781996 0.623284i \(-0.785798\pi\)
0.983145 + 0.182829i \(0.0585254\pi\)
\(450\) 6.77669 2.71298i 0.319456 0.127891i
\(451\) 2.05595 + 43.1596i 0.0968107 + 2.03231i
\(452\) −39.4176 + 37.5846i −1.85405 + 1.76783i
\(453\) 8.64255 6.79658i 0.406063 0.319331i
\(454\) 5.26116 + 6.07170i 0.246919 + 0.284959i
\(455\) 3.30995 7.24318i 0.155173 0.339565i
\(456\) −9.38756 + 10.8338i −0.439613 + 0.507340i
\(457\) 8.59940 + 8.19951i 0.402263 + 0.383557i 0.864027 0.503446i \(-0.167935\pi\)
−0.461764 + 0.887003i \(0.652783\pi\)
\(458\) 16.2723 + 1.55382i 0.760355 + 0.0726051i
\(459\) 0.381127 0.660132i 0.0177895 0.0308123i
\(460\) −13.7611 + 24.1505i −0.641614 + 1.12602i
\(461\) 1.22768 0.0571789 0.0285894 0.999591i \(-0.490898\pi\)
0.0285894 + 0.999591i \(0.490898\pi\)
\(462\) −32.3616 16.6934i −1.50560 0.776648i
\(463\) 4.86516 1.42854i 0.226103 0.0663899i −0.166719 0.986005i \(-0.553317\pi\)
0.392822 + 0.919615i \(0.371499\pi\)
\(464\) 18.6627 + 3.59694i 0.866394 + 0.166984i
\(465\) 6.43663 3.31831i 0.298492 0.153883i
\(466\) −27.7680 + 5.35184i −1.28633 + 0.247919i
\(467\) 21.6737 17.0443i 1.00294 0.788718i 0.0254419 0.999676i \(-0.491901\pi\)
0.977495 + 0.210958i \(0.0676583\pi\)
\(468\) 8.22391 + 2.41476i 0.380150 + 0.111622i
\(469\) −5.51393 + 15.9191i −0.254610 + 0.735076i
\(470\) −0.624952 + 4.34664i −0.0288269 + 0.200495i
\(471\) 22.4353 2.14231i 1.03377 0.0987126i
\(472\) 33.1656 + 46.5745i 1.52657 + 2.14377i
\(473\) 1.85233 + 1.45669i 0.0851703 + 0.0669787i
\(474\) 5.06482 + 2.61110i 0.232635 + 0.119932i
\(475\) 8.02954 + 2.35768i 0.368420 + 0.108178i
\(476\) 7.86172 2.30636i 0.360341 0.105712i
\(477\) 2.28011 + 2.63139i 0.104399 + 0.120483i
\(478\) 2.88143 60.4888i 0.131794 2.76669i
\(479\) 1.68580 + 4.87079i 0.0770260 + 0.222552i 0.976939 0.213516i \(-0.0684917\pi\)
−0.899913 + 0.436069i \(0.856370\pi\)
\(480\) 0.210363 0.867128i 0.00960171 0.0395788i
\(481\) 3.26385 4.58344i 0.148819 0.208987i
\(482\) 26.1627 1.19168
\(483\) −12.1550 + 3.64093i −0.553071 + 0.165668i
\(484\) 82.2439 3.73836
\(485\) −9.25004 + 12.9899i −0.420023 + 0.589840i
\(486\) 0.580490 2.39281i 0.0263316 0.108540i
\(487\) 4.61620 + 13.3376i 0.209180 + 0.604385i 0.999970 0.00770153i \(-0.00245150\pi\)
−0.790791 + 0.612087i \(0.790330\pi\)
\(488\) −0.762838 + 16.0139i −0.0345321 + 0.724917i
\(489\) 5.75988 + 6.64726i 0.260471 + 0.300599i
\(490\) −10.2040 22.3721i −0.460971 1.01067i
\(491\) −0.392054 0.115118i −0.0176932 0.00519518i 0.272874 0.962050i \(-0.412026\pi\)
−0.290567 + 0.956855i \(0.593844\pi\)
\(492\) −27.9126 14.3899i −1.25840 0.648749i
\(493\) −2.60055 2.04510i −0.117123 0.0921065i
\(494\) 8.50581 + 11.9447i 0.382694 + 0.537419i
\(495\) 7.93848 0.758033i 0.356808 0.0340711i
\(496\) −3.16335 + 22.0016i −0.142039 + 0.987900i
\(497\) 19.6105 3.77474i 0.879652 0.169320i
\(498\) −39.8930 11.7136i −1.78765 0.524900i
\(499\) −12.5947 + 9.90459i −0.563816 + 0.443390i −0.858945 0.512067i \(-0.828880\pi\)
0.295129 + 0.955457i \(0.404637\pi\)
\(500\) −45.3277 + 8.73619i −2.02711 + 0.390694i
\(501\) −2.45977 + 1.26810i −0.109894 + 0.0566545i
\(502\) −7.79201 1.50179i −0.347774 0.0670280i
\(503\) −2.82415 + 0.829246i −0.125923 + 0.0369742i −0.344087 0.938938i \(-0.611811\pi\)
0.218164 + 0.975912i \(0.429993\pi\)
\(504\) 11.3050 7.26142i 0.503563 0.323450i
\(505\) −2.78859 −0.124090
\(506\) 47.5108 45.8192i 2.11211 2.03691i
\(507\) −4.27438 + 7.40345i −0.189832 + 0.328799i
\(508\) 41.2439 + 3.93831i 1.82990 + 0.174734i
\(509\) 16.1765 + 15.4243i 0.717010 + 0.683668i 0.957970 0.286867i \(-0.0926138\pi\)
−0.240960 + 0.970535i \(0.577462\pi\)
\(510\) −1.75347 + 2.02361i −0.0776448 + 0.0896069i
\(511\) 38.2455 3.64274i 1.69188 0.161145i
\(512\) −27.3328 31.5438i −1.20795 1.39405i
\(513\) 2.21886 1.74493i 0.0979650 0.0770405i
\(514\) −8.75405 + 8.34697i −0.386125 + 0.368169i
\(515\) 0.125212 + 2.62853i 0.00551752 + 0.115827i
\(516\) −1.59000 + 0.636538i −0.0699957 + 0.0280220i
\(517\) 2.90280 6.35625i 0.127665 0.279548i
\(518\) −4.09198 16.8850i −0.179791 0.741886i
\(519\) 3.24411 22.5633i 0.142400 0.990417i
\(520\) −13.5866 7.00436i −0.595810 0.307161i
\(521\) −20.8845 + 19.9134i −0.914968 + 0.872420i −0.992208 0.124592i \(-0.960238\pi\)
0.0772398 + 0.997013i \(0.475389\pi\)
\(522\) −9.92111 3.97181i −0.434235 0.173842i
\(523\) −5.13458 + 14.8354i −0.224520 + 0.648707i 0.775333 + 0.631552i \(0.217582\pi\)
−0.999853 + 0.0171544i \(0.994539\pi\)
\(524\) −60.1763 38.6730i −2.62881 1.68944i
\(525\) −6.59751 4.24220i −0.287939 0.185145i
\(526\) −42.4608 + 12.4676i −1.85138 + 0.543614i
\(527\) 2.24433 3.15172i 0.0977645 0.137291i
\(528\) −12.2388 + 21.1982i −0.532625 + 0.922533i
\(529\) 0.833446 22.9849i 0.0362368 0.999343i
\(530\) −6.11540 10.5922i −0.265636 0.460095i
\(531\) −4.67706 10.2413i −0.202967 0.444436i
\(532\) 30.2024 + 2.89129i 1.30944 + 0.125354i
\(533\) −10.6800 + 12.3254i −0.462603 + 0.533872i
\(534\) −0.927281 + 19.4660i −0.0401274 + 0.842377i
\(535\) 26.4609 5.09991i 1.14400 0.220489i
\(536\) 30.0206 + 12.0185i 1.29669 + 0.519118i
\(537\) −4.53397 18.6893i −0.195655 0.806502i
\(538\) −44.4503 + 28.5665i −1.91639 + 1.23159i
\(539\) 5.54988 + 38.7322i 0.239050 + 1.66831i
\(540\) −2.40769 + 5.27210i −0.103610 + 0.226875i
\(541\) 35.0549 3.34734i 1.50713 0.143913i 0.691452 0.722423i \(-0.256972\pi\)
0.815676 + 0.578510i \(0.196365\pi\)
\(542\) −9.84768 7.74430i −0.422994 0.332646i
\(543\) 0.685558 + 14.3916i 0.0294201 + 0.617604i
\(544\) −0.112395 0.463300i −0.00481891 0.0198638i
\(545\) −3.65834 25.4443i −0.156706 1.08992i
\(546\) −4.49214 12.9893i −0.192246 0.555889i
\(547\) −2.90142 1.86463i −0.124056 0.0797258i 0.477141 0.878827i \(-0.341673\pi\)
−0.601197 + 0.799101i \(0.705309\pi\)
\(548\) −7.95830 1.53384i −0.339962 0.0655223i
\(549\) 0.744274 3.06794i 0.0317648 0.130936i
\(550\) 40.6175 + 3.87851i 1.73194 + 0.165380i
\(551\) −6.12578 10.6102i −0.260967 0.452008i
\(552\) 5.87622 + 23.6356i 0.250109 + 1.00600i
\(553\) −0.869941 6.06089i −0.0369937 0.257735i
\(554\) −8.59857 18.8282i −0.365318 0.799935i
\(555\) 2.75372 + 2.62567i 0.116889 + 0.111453i
\(556\) 14.8007 + 42.7638i 0.627690 + 1.81359i
\(557\) 33.0965 17.0624i 1.40234 0.722959i 0.419562 0.907726i \(-0.362184\pi\)
0.982782 + 0.184768i \(0.0591532\pi\)
\(558\) 4.08771 11.8107i 0.173047 0.499986i
\(559\) 0.126582 + 0.880394i 0.00535383 + 0.0372367i
\(560\) −15.3466 + 6.13960i −0.648514 + 0.259445i
\(561\) 3.58438 2.30354i 0.151333 0.0972556i
\(562\) −52.9957 + 21.2163i −2.23549 + 0.894955i
\(563\) −6.33073 8.89026i −0.266808 0.374680i 0.659336 0.751848i \(-0.270837\pi\)
−0.926145 + 0.377168i \(0.876898\pi\)
\(564\) 2.94588 + 4.13691i 0.124044 + 0.174195i
\(565\) −17.7565 + 7.10861i −0.747020 + 0.299062i
\(566\) −39.8026 + 25.5796i −1.67303 + 1.07519i
\(567\) −2.45647 + 0.982737i −0.103162 + 0.0412711i
\(568\) −5.45527 37.9422i −0.228898 1.59202i
\(569\) −1.72570 + 4.98609i −0.0723453 + 0.209028i −0.975376 0.220548i \(-0.929216\pi\)
0.903031 + 0.429575i \(0.141337\pi\)
\(570\) −8.81348 + 4.54366i −0.369156 + 0.190313i
\(571\) 2.15925 + 6.23874i 0.0903617 + 0.261083i 0.981122 0.193391i \(-0.0619485\pi\)
−0.890760 + 0.454474i \(0.849827\pi\)
\(572\) 34.6739 + 33.0615i 1.44979 + 1.38237i
\(573\) 6.07643 + 13.3055i 0.253847 + 0.555847i
\(574\) 7.15457 + 49.8460i 0.298626 + 2.08053i
\(575\) 11.1259 8.85222i 0.463983 0.369163i
\(576\) 3.60909 + 6.25112i 0.150379 + 0.260463i
\(577\) −20.3802 1.94608i −0.848440 0.0810162i −0.338227 0.941064i \(-0.609827\pi\)
−0.510213 + 0.860048i \(0.670433\pi\)
\(578\) 9.53105 39.2875i 0.396439 1.63415i
\(579\) 8.16878 + 1.57440i 0.339483 + 0.0654300i
\(580\) 21.1621 + 13.6000i 0.878707 + 0.564711i
\(581\) 14.6020 + 42.2226i 0.605795 + 1.75169i
\(582\) 3.91678 + 27.2418i 0.162356 + 1.12921i
\(583\) 4.58841 + 18.9137i 0.190032 + 0.783324i
\(584\) −3.50881 73.6590i −0.145196 3.04803i
\(585\) 2.36599 + 1.86064i 0.0978218 + 0.0769279i
\(586\) −79.4541 + 7.58695i −3.28222 + 0.313414i
\(587\) −0.105800 + 0.231670i −0.00436684 + 0.00956205i −0.911803 0.410628i \(-0.865309\pi\)
0.907436 + 0.420190i \(0.138037\pi\)
\(588\) −26.3956 10.5819i −1.08853 0.436390i
\(589\) 12.0537 7.74644i 0.496664 0.319187i
\(590\) 9.32410 + 38.4345i 0.383867 + 1.58232i
\(591\) −14.5156 5.81117i −0.597092 0.239040i
\(592\) −11.4678 + 2.21024i −0.471324 + 0.0908402i
\(593\) 0.286156 6.00715i 0.0117510 0.246684i −0.985347 0.170560i \(-0.945442\pi\)
0.997098 0.0761244i \(-0.0242546\pi\)
\(594\) 9.01286 10.4014i 0.369802 0.426775i
\(595\) 2.86411 + 0.274183i 0.117417 + 0.0112404i
\(596\) 25.2824 + 55.3606i 1.03561 + 2.26766i
\(597\) 7.17032 + 12.4194i 0.293461 + 0.508290i
\(598\) 24.9129 0.141447i 1.01876 0.00578419i
\(599\) −14.8217 + 25.6719i −0.605598 + 1.04893i 0.386359 + 0.922349i \(0.373733\pi\)
−0.991957 + 0.126578i \(0.959601\pi\)
\(600\) −8.73308 + 12.2639i −0.356527 + 0.500671i
\(601\) −18.0669 + 5.30493i −0.736966 + 0.216393i −0.628611 0.777720i \(-0.716376\pi\)
−0.108355 + 0.994112i \(0.534558\pi\)
\(602\) 2.31002 + 1.48534i 0.0941494 + 0.0605380i
\(603\) −5.35674 3.44257i −0.218143 0.140192i
\(604\) −14.6091 + 42.2103i −0.594437 + 1.71751i
\(605\) 26.8132 + 10.7344i 1.09011 + 0.436416i
\(606\) −3.48312 + 3.32115i −0.141492 + 0.134912i
\(607\) 30.5978 + 15.7743i 1.24193 + 0.640258i 0.948819 0.315822i \(-0.102280\pi\)
0.293108 + 0.956079i \(0.405310\pi\)
\(608\) 0.251251 1.74749i 0.0101896 0.0708700i
\(609\) 2.70459 + 11.1601i 0.109595 + 0.452232i
\(610\) −4.60675 + 10.0874i −0.186522 + 0.408426i
\(611\) 2.44855 0.980251i 0.0990577 0.0396567i
\(612\) 0.147346 + 3.09317i 0.00595611 + 0.125034i
\(613\) 4.22915 4.03248i 0.170814 0.162870i −0.599850 0.800112i \(-0.704773\pi\)
0.770664 + 0.637242i \(0.219925\pi\)
\(614\) −49.4934 + 38.9221i −1.99739 + 1.57077i
\(615\) −7.22193 8.33455i −0.291216 0.336081i
\(616\) 74.7655 7.12114i 3.01239 0.286919i
\(617\) 2.78529 3.21440i 0.112132 0.129407i −0.696909 0.717160i \(-0.745442\pi\)
0.809041 + 0.587753i \(0.199987\pi\)
\(618\) 3.28693 + 3.13408i 0.132220 + 0.126071i
\(619\) −47.7427 4.55888i −1.91894 0.183237i −0.934139 0.356908i \(-0.883831\pi\)
−0.984804 + 0.173672i \(0.944437\pi\)
\(620\) −14.7097 + 25.4779i −0.590755 + 1.02322i
\(621\) −0.255389 4.78903i −0.0102484 0.192177i
\(622\) 26.3506 1.05656
\(623\) 17.6192 11.3172i 0.705897 0.453413i
\(624\) −8.86469 + 2.60291i −0.354871 + 0.104200i
\(625\) −1.36272 0.262642i −0.0545087 0.0105057i
\(626\) 22.8646 11.7875i 0.913854 0.471124i
\(627\) 15.4933 2.98609i 0.618744 0.119253i
\(628\) −71.9700 + 56.5978i −2.87192 + 2.25850i
\(629\) 1.95057 + 0.572739i 0.0777743 + 0.0228366i
\(630\) 9.12635 1.75669i 0.363603 0.0699882i
\(631\) −4.53034 + 31.5092i −0.180350 + 1.25436i 0.675587 + 0.737281i \(0.263890\pi\)
−0.855937 + 0.517081i \(0.827019\pi\)
\(632\) −11.6996 + 1.11718i −0.465385 + 0.0444389i
\(633\) −15.3322 21.5310i −0.609399 0.855781i
\(634\) −34.7067 27.2937i −1.37838 1.08397i
\(635\) 12.9323 + 6.66708i 0.513204 + 0.264575i
\(636\) −13.5720 3.98510i −0.538166 0.158020i
\(637\) −8.57238 + 12.0260i −0.339650 + 0.476488i
\(638\) −39.1180 45.1445i −1.54870 1.78729i
\(639\) −0.359155 + 7.53959i −0.0142080 + 0.298262i
\(640\) −8.87671 25.6476i −0.350883 1.01381i
\(641\) 1.41227 5.82146i 0.0557813 0.229934i −0.937097 0.349070i \(-0.886497\pi\)
0.992878 + 0.119137i \(0.0380126\pi\)
\(642\) 26.9774 37.8845i 1.06471 1.49518i
\(643\) −2.33854 −0.0922231 −0.0461115 0.998936i \(-0.514683\pi\)
−0.0461115 + 0.998936i \(0.514683\pi\)
\(644\) 33.5442 39.1401i 1.32183 1.54234i
\(645\) −0.601453 −0.0236822
\(646\) −3.07309 + 4.31555i −0.120909 + 0.169793i
\(647\) −5.86608 + 24.1803i −0.230619 + 0.950625i 0.732332 + 0.680948i \(0.238432\pi\)
−0.962951 + 0.269677i \(0.913083\pi\)
\(648\) 1.66098 + 4.79908i 0.0652494 + 0.188526i
\(649\) 2.99447 62.8616i 0.117543 2.46753i
\(650\) 10.0853 + 11.6390i 0.395576 + 0.456519i
\(651\) −12.8866 + 3.78048i −0.505064 + 0.148169i
\(652\) −34.2849 10.0669i −1.34270 0.394252i
\(653\) 18.8419 + 9.71369i 0.737342 + 0.380126i 0.785621 0.618708i \(-0.212344\pi\)
−0.0482796 + 0.998834i \(0.515374\pi\)
\(654\) −34.8732 27.4246i −1.36365 1.07239i
\(655\) −14.5712 20.4624i −0.569343 0.799530i
\(656\) 33.6971 3.21769i 1.31565 0.125630i
\(657\) −2.06653 + 14.3730i −0.0806231 + 0.560746i
\(658\) 2.66540 7.69520i 0.103908 0.299990i
\(659\) −5.44780 1.59962i −0.212216 0.0623123i 0.173896 0.984764i \(-0.444364\pi\)
−0.386113 + 0.922452i \(0.626182\pi\)
\(660\) −25.4658 + 20.0265i −0.991253 + 0.779530i
\(661\) 37.6990 7.26588i 1.46632 0.282610i 0.607267 0.794498i \(-0.292266\pi\)
0.859052 + 0.511888i \(0.171054\pi\)
\(662\) −8.12008 + 4.18619i −0.315596 + 0.162701i
\(663\) 1.57914 + 0.304354i 0.0613287 + 0.0118201i
\(664\) 82.2802 24.1597i 3.19309 0.937577i
\(665\) 9.46926 + 4.88462i 0.367202 + 0.189417i
\(666\) 6.56668 0.254454
\(667\) −20.7317 1.86092i −0.802734 0.0720551i
\(668\) 5.62133 9.73643i 0.217496 0.376714i
\(669\) −2.03188 0.194021i −0.0785570 0.00750128i
\(670\) 16.1883 + 15.4355i 0.625408 + 0.596325i
\(671\) 11.5558 13.3361i 0.446107 0.514835i
\(672\) −0.687763 + 1.50504i −0.0265310 + 0.0580580i
\(673\) −26.2149 30.2536i −1.01051 1.16619i −0.986043 0.166490i \(-0.946757\pi\)
−0.0244667 0.999701i \(-0.507789\pi\)
\(674\) 41.0016 32.2440i 1.57932 1.24199i
\(675\) 2.14561 2.04583i 0.0825844 0.0787440i
\(676\) −1.65250 34.6902i −0.0635577 1.33424i
\(677\) 19.6661 7.87312i 0.755830 0.302589i 0.0384405 0.999261i \(-0.487761\pi\)
0.717390 + 0.696672i \(0.245337\pi\)
\(678\) −13.7127 + 30.0267i −0.526634 + 1.15317i
\(679\) 21.4081 20.4028i 0.821569 0.782988i
\(680\) 0.785956 5.46644i 0.0301400 0.209628i
\(681\) 2.90020 + 1.49515i 0.111136 + 0.0572944i
\(682\) 50.5602 48.2090i 1.93605 1.84602i
\(683\) 4.86577 + 1.94796i 0.186183 + 0.0745366i 0.462881 0.886420i \(-0.346816\pi\)
−0.276697 + 0.960957i \(0.589240\pi\)
\(684\) −3.75070 + 10.8369i −0.143411 + 0.414360i
\(685\) −2.39438 1.53877i −0.0914845 0.0587935i
\(686\) 10.7189 + 44.3233i 0.409251 + 1.69227i
\(687\) 6.36993 1.87038i 0.243028 0.0713595i
\(688\) 1.07086 1.50381i 0.0408261 0.0573322i
\(689\) −3.67297 + 6.36177i −0.139929 + 0.242364i
\(690\) −2.30281 + 16.6885i −0.0876664 + 0.635319i
\(691\) −14.7635 25.5712i −0.561630 0.972772i −0.997354 0.0726921i \(-0.976841\pi\)
0.435724 0.900080i \(-0.356492\pi\)
\(692\) 38.4701 + 84.2378i 1.46241 + 3.20224i
\(693\) −14.7216 1.40931i −0.559227 0.0535351i
\(694\) 34.6515 39.9900i 1.31535 1.51800i
\(695\) −0.756157 + 15.8737i −0.0286827 + 0.602123i
\(696\) 21.6431 4.17137i 0.820380 0.158115i
\(697\) −5.47020 2.18994i −0.207199 0.0829498i
\(698\) −0.302785 1.24810i −0.0114606 0.0472411i
\(699\) −9.66194 + 6.20935i −0.365448 + 0.234859i
\(700\) 31.8651 + 0.00764446i 1.20439 + 0.000288933i
\(701\) −11.7905 + 25.8176i −0.445321 + 0.975117i 0.545270 + 0.838261i \(0.316427\pi\)
−0.990591 + 0.136856i \(0.956300\pi\)
\(702\) 5.17126 0.493795i 0.195177 0.0186371i
\(703\) 5.91764 + 4.65369i 0.223188 + 0.175517i
\(704\) 1.91980 + 40.3016i 0.0723552 + 1.51892i
\(705\) 0.420473 + 1.73321i 0.0158359 + 0.0652765i
\(706\) −8.75802 60.9134i −0.329613 2.29251i
\(707\) 5.07775 + 0.979920i 0.190968 + 0.0368537i
\(708\) 38.4781 + 24.7284i 1.44610 + 0.929349i
\(709\) 4.01552 + 0.773928i 0.150806 + 0.0290655i 0.264095 0.964497i \(-0.414927\pi\)
−0.113289 + 0.993562i \(0.536139\pi\)
\(710\) 6.25110 25.7674i 0.234600 0.967033i
\(711\) 2.30380 + 0.219986i 0.0863993 + 0.00825013i
\(712\) −20.0973 34.8096i −0.753180 1.30455i
\(713\) 1.02023 24.3219i 0.0382079 0.910863i
\(714\) 3.90400 3.06862i 0.146104 0.114840i
\(715\) 6.98926 + 15.3043i 0.261383 + 0.572350i
\(716\) 56.5439 + 53.9145i 2.11314 + 2.01488i
\(717\) −8.04411 23.2419i −0.300413 0.867986i
\(718\) 27.6993 14.2800i 1.03373 0.532924i
\(719\) 11.4183 32.9911i 0.425832 1.23036i −0.504425 0.863455i \(-0.668296\pi\)
0.930258 0.366906i \(-0.119583\pi\)
\(720\) −0.889104 6.18386i −0.0331350 0.230459i
\(721\) 0.695677 4.83031i 0.0259084 0.179890i
\(722\) 22.8509 14.6854i 0.850423 0.546533i
\(723\) 9.86452 3.94916i 0.366866 0.146871i
\(724\) −33.9523 47.6793i −1.26183 1.77199i
\(725\) −7.46371 10.4813i −0.277195 0.389266i
\(726\) 46.2759 18.5261i 1.71746 0.687567i
\(727\) 7.54112 4.84638i 0.279684 0.179742i −0.393277 0.919420i \(-0.628659\pi\)
0.672961 + 0.739678i \(0.265022\pi\)
\(728\) 22.2785 + 17.5286i 0.825695 + 0.649655i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 16.6832 48.2028i 0.617471 1.78407i
\(731\) −0.285628 + 0.147252i −0.0105644 + 0.00544630i
\(732\) 4.19468 + 12.1197i 0.155040 + 0.447958i
\(733\) 5.33073 + 5.08284i 0.196895 + 0.187739i 0.782112 0.623137i \(-0.214142\pi\)
−0.585217 + 0.810877i \(0.698991\pi\)
\(734\) −14.1318 30.9442i −0.521613 1.14217i
\(735\) −7.22437 6.89504i −0.266475 0.254327i
\(736\) −2.18253 2.05751i −0.0804492 0.0758408i
\(737\) −17.7963 30.8242i −0.655537 1.13542i
\(738\) −18.9469 1.80921i −0.697446 0.0665980i
\(739\) 10.8253 44.6227i 0.398217 1.64147i −0.321286 0.946982i \(-0.604115\pi\)
0.719503 0.694490i \(-0.244370\pi\)
\(740\) −15.1781 2.92533i −0.557957 0.107537i
\(741\) 5.01009 + 3.21979i 0.184050 + 0.118282i
\(742\) 7.41343 + 21.4363i 0.272156 + 0.786953i
\(743\) 4.58875 + 31.9155i 0.168345 + 1.17087i 0.882305 + 0.470679i \(0.155991\pi\)
−0.713960 + 0.700187i \(0.753100\pi\)
\(744\) 6.07729 + 25.0509i 0.222804 + 0.918412i
\(745\) 1.01696 + 21.3486i 0.0372584 + 0.782151i
\(746\) −49.5281 38.9493i −1.81335 1.42604i
\(747\) −16.8096 + 1.60512i −0.615030 + 0.0587283i
\(748\) −7.19061 + 15.7452i −0.262915 + 0.575703i
\(749\) −49.9749 0.0119890i −1.82604 0.000438068i
\(750\) −23.5364 + 15.1260i −0.859429 + 0.552322i
\(751\) 10.6940 + 44.0814i 0.390231 + 1.60855i 0.740604 + 0.671942i \(0.234540\pi\)
−0.350373 + 0.936610i \(0.613945\pi\)
\(752\) −5.08217 2.03459i −0.185328 0.0741940i
\(753\) −3.16463 + 0.609932i −0.115325 + 0.0222272i
\(754\) 1.07281 22.5210i 0.0390694 0.820168i
\(755\) −10.2721 + 11.8547i −0.373841 + 0.431436i
\(756\) 6.23680 8.75392i 0.226830 0.318377i
\(757\) −18.1244 39.6869i −0.658742 1.44244i −0.883690 0.468073i \(-0.844948\pi\)
0.224948 0.974371i \(-0.427779\pi\)
\(758\) 34.4610 + 59.6882i 1.25168 + 2.16797i
\(759\) 10.9975 24.4475i 0.399183 0.887388i
\(760\) 10.2258 17.7115i 0.370927 0.642465i
\(761\) −17.6736 + 24.8192i −0.640669 + 0.899694i −0.999431 0.0337354i \(-0.989260\pi\)
0.358762 + 0.933429i \(0.383199\pi\)
\(762\) 24.0937 7.07454i 0.872821 0.256283i
\(763\) −2.27974 + 47.6173i −0.0825321 + 1.72386i
\(764\) −49.9907 32.1271i −1.80860 1.16232i
\(765\) −0.355680 + 1.02767i −0.0128596 + 0.0371555i
\(766\) −10.5124 4.20851i −0.379827 0.152060i
\(767\) 17.1914 16.3919i 0.620744 0.591878i
\(768\) −28.8018 14.8483i −1.03929 0.535793i
\(769\) 7.64209 53.1519i 0.275581 1.91671i −0.109809 0.993953i \(-0.535024\pi\)
0.385390 0.922754i \(-0.374067\pi\)
\(770\) 49.8420 + 14.6479i 1.79618 + 0.527874i
\(771\) −2.04073 + 4.46857i −0.0734951 + 0.160932i
\(772\) −31.3757 + 12.5609i −1.12924 + 0.452078i
\(773\) −2.18922 45.9575i