Properties

Label 483.2.y.b.25.10
Level $483$
Weight $2$
Character 483.25
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 25.10
Character \(\chi\) \(=\) 483.25
Dual form 483.2.y.b.58.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0438388 - 0.920289i) q^{2} +(0.928368 + 0.371662i) q^{3} +(1.14593 + 0.109423i) q^{4} +(0.838786 + 3.45752i) q^{5} +(0.382736 - 0.838074i) q^{6} +(-0.905813 + 2.48586i) q^{7} +(0.413176 - 2.87370i) q^{8} +(0.723734 + 0.690079i) q^{9} +O(q^{10})\) \(q+(0.0438388 - 0.920289i) q^{2} +(0.928368 + 0.371662i) q^{3} +(1.14593 + 0.109423i) q^{4} +(0.838786 + 3.45752i) q^{5} +(0.382736 - 0.838074i) q^{6} +(-0.905813 + 2.48586i) q^{7} +(0.413176 - 2.87370i) q^{8} +(0.723734 + 0.690079i) q^{9} +(3.21869 - 0.620352i) q^{10} +(-0.0892641 - 1.87389i) q^{11} +(1.02318 + 0.527486i) q^{12} +(-4.13780 - 4.77527i) q^{13} +(2.24800 + 0.942587i) q^{14} +(-0.506329 + 3.52160i) q^{15} +(-0.365839 - 0.0705097i) q^{16} +(4.02354 + 5.65027i) q^{17} +(0.666800 - 0.635792i) q^{18} +(-1.94011 + 2.72451i) q^{19} +(0.582859 + 4.05387i) q^{20} +(-1.76483 + 1.97114i) q^{21} -1.72843 q^{22} +(4.42913 + 1.83923i) q^{23} +(1.45163 - 2.51429i) q^{24} +(-6.80672 + 3.50911i) q^{25} +(-4.57603 + 3.59863i) q^{26} +(0.415415 + 0.909632i) q^{27} +(-1.31001 + 2.74951i) q^{28} +(2.46382 - 5.39502i) q^{29} +(3.21869 + 0.620352i) q^{30} +(-0.402083 - 0.316202i) q^{31} +(1.28801 - 5.30925i) q^{32} +(0.613583 - 1.77283i) q^{33} +(5.37627 - 3.45512i) q^{34} +(-9.35470 - 1.04676i) q^{35} +(0.753840 + 0.869978i) q^{36} +(2.37006 + 2.25985i) q^{37} +(2.42228 + 1.90490i) q^{38} +(-2.06661 - 5.97108i) q^{39} +(10.2825 - 0.981856i) q^{40} +(1.00259 + 0.294386i) q^{41} +(1.73665 + 1.71057i) q^{42} +(-1.52897 - 10.6342i) q^{43} +(0.102756 - 2.15711i) q^{44} +(-1.77891 + 3.08115i) q^{45} +(1.88680 - 3.99545i) q^{46} +(-1.36200 - 2.35906i) q^{47} +(-0.313428 - 0.201428i) q^{48} +(-5.35901 - 4.50345i) q^{49} +(2.93100 + 6.41799i) q^{50} +(1.63533 + 6.74093i) q^{51} +(-4.21911 - 5.92492i) q^{52} +(-1.92419 - 5.55958i) q^{53} +(0.855336 - 0.342425i) q^{54} +(6.40413 - 1.88042i) q^{55} +(6.76937 + 3.63014i) q^{56} +(-2.81373 + 1.80828i) q^{57} +(-4.85697 - 2.50394i) q^{58} +(-0.121245 + 0.0233681i) q^{59} +(-0.965565 + 3.98011i) q^{60} +(-2.10461 + 0.842560i) q^{61} +(-0.308624 + 0.356171i) q^{62} +(-2.37101 + 1.17402i) q^{63} +(-5.54454 - 1.62802i) q^{64} +(13.0399 - 18.3120i) q^{65} +(-1.60462 - 0.642392i) q^{66} +(-9.30721 + 4.79820i) q^{67} +(3.99244 + 6.91510i) q^{68} +(3.42829 + 3.35363i) q^{69} +(-1.37342 + 8.56314i) q^{70} +(4.06977 + 2.61548i) q^{71} +(2.28211 - 1.79467i) q^{72} +(8.50610 + 0.812234i) q^{73} +(2.18362 - 2.08207i) q^{74} +(-7.62334 + 0.727941i) q^{75} +(-2.52136 + 2.90981i) q^{76} +(4.73907 + 1.47549i) q^{77} +(-5.58572 + 1.64011i) q^{78} +(4.69258 - 13.5583i) q^{79} +(-0.0630718 - 1.32404i) q^{80} +(0.0475819 + 0.998867i) q^{81} +(0.314872 - 0.909763i) q^{82} +(-3.15117 + 0.925268i) q^{83} +(-2.23806 + 2.06568i) q^{84} +(-16.1610 + 18.6508i) q^{85} +(-9.85357 + 0.940902i) q^{86} +(4.29246 - 4.09285i) q^{87} +(-5.42187 - 0.517726i) q^{88} +(13.6667 - 10.7476i) q^{89} +(2.75757 + 1.77218i) q^{90} +(15.6187 - 5.96049i) q^{91} +(4.87424 + 2.59229i) q^{92} +(-0.255761 - 0.442991i) q^{93} +(-2.23072 + 1.15002i) q^{94} +(-11.0474 - 4.42270i) q^{95} +(3.16899 - 4.45023i) q^{96} +(-10.8456 - 3.18457i) q^{97} +(-4.37941 + 4.73441i) q^{98} +(1.22853 - 1.41779i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 2 q^{11} + 18 q^{12} + 18 q^{14} - 18 q^{15} - 8 q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} - 162 q^{20} - 4 q^{21} + 144 q^{22} - 26 q^{23} + 6 q^{24} - 8 q^{25} - 14 q^{26} - 32 q^{27} + 86 q^{28} - 74 q^{29} - 56 q^{31} - 28 q^{32} + 13 q^{33} + 40 q^{34} - 32 q^{35} - 14 q^{36} + 2 q^{37} - 39 q^{38} - 52 q^{40} + 60 q^{41} - 61 q^{42} + 16 q^{43} - 75 q^{44} - 2 q^{45} - 4 q^{46} - 40 q^{47} - 28 q^{48} - 100 q^{49} + 146 q^{50} - 18 q^{51} - 18 q^{52} + 34 q^{53} + 2 q^{54} + 36 q^{55} - 102 q^{56} + 28 q^{57} - 17 q^{58} - 102 q^{59} - 18 q^{60} - 18 q^{61} - 88 q^{62} + 2 q^{63} - 252 q^{64} - 78 q^{65} + 16 q^{66} + 12 q^{67} + 34 q^{68} + 8 q^{69} + 264 q^{70} + 160 q^{71} + 6 q^{72} - 8 q^{73} + 70 q^{74} + 14 q^{75} - 40 q^{76} - 90 q^{77} - 16 q^{78} + 26 q^{79} - 103 q^{80} + 16 q^{81} - 30 q^{82} - 80 q^{83} - 52 q^{84} - 128 q^{85} + 90 q^{86} + 4 q^{87} - 293 q^{88} - 36 q^{89} + 16 q^{91} - 174 q^{92} + 32 q^{93} + 57 q^{94} - 85 q^{95} - 50 q^{96} - 8 q^{97} - 193 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0438388 0.920289i 0.0309987 0.650743i −0.928889 0.370358i \(-0.879235\pi\)
0.959888 0.280385i \(-0.0904620\pi\)
\(3\) 0.928368 + 0.371662i 0.535993 + 0.214579i
\(4\) 1.14593 + 0.109423i 0.572967 + 0.0547117i
\(5\) 0.838786 + 3.45752i 0.375116 + 1.54625i 0.776366 + 0.630282i \(0.217061\pi\)
−0.401250 + 0.915969i \(0.631424\pi\)
\(6\) 0.382736 0.838074i 0.156251 0.342142i
\(7\) −0.905813 + 2.48586i −0.342365 + 0.939567i
\(8\) 0.413176 2.87370i 0.146080 1.01601i
\(9\) 0.723734 + 0.690079i 0.241245 + 0.230026i
\(10\) 3.21869 0.620352i 1.01784 0.196173i
\(11\) −0.0892641 1.87389i −0.0269142 0.564998i −0.971544 0.236860i \(-0.923882\pi\)
0.944630 0.328138i \(-0.106421\pi\)
\(12\) 1.02318 + 0.527486i 0.295366 + 0.152272i
\(13\) −4.13780 4.77527i −1.14762 1.32442i −0.937998 0.346640i \(-0.887323\pi\)
−0.209621 0.977783i \(-0.567223\pi\)
\(14\) 2.24800 + 0.942587i 0.600804 + 0.251917i
\(15\) −0.506329 + 3.52160i −0.130734 + 0.909273i
\(16\) −0.365839 0.0705097i −0.0914598 0.0176274i
\(17\) 4.02354 + 5.65027i 0.975851 + 1.37039i 0.928426 + 0.371517i \(0.121162\pi\)
0.0474253 + 0.998875i \(0.484898\pi\)
\(18\) 0.666800 0.635792i 0.157166 0.149858i
\(19\) −1.94011 + 2.72451i −0.445092 + 0.625045i −0.974785 0.223145i \(-0.928368\pi\)
0.529693 + 0.848189i \(0.322307\pi\)
\(20\) 0.582859 + 4.05387i 0.130331 + 0.906473i
\(21\) −1.76483 + 1.97114i −0.385117 + 0.430137i
\(22\) −1.72843 −0.368502
\(23\) 4.42913 + 1.83923i 0.923538 + 0.383507i
\(24\) 1.45163 2.51429i 0.296312 0.513228i
\(25\) −6.80672 + 3.50911i −1.36134 + 0.701822i
\(26\) −4.57603 + 3.59863i −0.897433 + 0.705749i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) −1.31001 + 2.74951i −0.247569 + 0.519609i
\(29\) 2.46382 5.39502i 0.457521 1.00183i −0.530525 0.847669i \(-0.678005\pi\)
0.988046 0.154161i \(-0.0492675\pi\)
\(30\) 3.21869 + 0.620352i 0.587650 + 0.113260i
\(31\) −0.402083 0.316202i −0.0722162 0.0567915i 0.581398 0.813619i \(-0.302506\pi\)
−0.653615 + 0.756828i \(0.726748\pi\)
\(32\) 1.28801 5.30925i 0.227690 0.938551i
\(33\) 0.613583 1.77283i 0.106811 0.308610i
\(34\) 5.37627 3.45512i 0.922023 0.592548i
\(35\) −9.35470 1.04676i −1.58123 0.176935i
\(36\) 0.753840 + 0.869978i 0.125640 + 0.144996i
\(37\) 2.37006 + 2.25985i 0.389636 + 0.371517i 0.859425 0.511262i \(-0.170822\pi\)
−0.469789 + 0.882778i \(0.655670\pi\)
\(38\) 2.42228 + 1.90490i 0.392946 + 0.309016i
\(39\) −2.06661 5.97108i −0.330922 0.956137i
\(40\) 10.2825 0.981856i 1.62580 0.155245i
\(41\) 1.00259 + 0.294386i 0.156578 + 0.0459753i 0.359082 0.933306i \(-0.383090\pi\)
−0.202504 + 0.979281i \(0.564908\pi\)
\(42\) 1.73665 + 1.71057i 0.267971 + 0.263946i
\(43\) −1.52897 10.6342i −0.233165 1.62170i −0.684270 0.729229i \(-0.739879\pi\)
0.451104 0.892471i \(-0.351030\pi\)
\(44\) 0.102756 2.15711i 0.0154911 0.325197i
\(45\) −1.77891 + 3.08115i −0.265184 + 0.459311i
\(46\) 1.88680 3.99545i 0.278193 0.589098i
\(47\) −1.36200 2.35906i −0.198668 0.344104i 0.749429 0.662085i \(-0.230328\pi\)
−0.948097 + 0.317981i \(0.896995\pi\)
\(48\) −0.313428 0.201428i −0.0452394 0.0290736i
\(49\) −5.35901 4.50345i −0.765572 0.643350i
\(50\) 2.93100 + 6.41799i 0.414505 + 0.907640i
\(51\) 1.63533 + 6.74093i 0.228992 + 0.943919i
\(52\) −4.21911 5.92492i −0.585086 0.821638i
\(53\) −1.92419 5.55958i −0.264308 0.763667i −0.996578 0.0826531i \(-0.973661\pi\)
0.732271 0.681014i \(-0.238461\pi\)
\(54\) 0.855336 0.342425i 0.116396 0.0465981i
\(55\) 6.40413 1.88042i 0.863532 0.253556i
\(56\) 6.76937 + 3.63014i 0.904595 + 0.485097i
\(57\) −2.81373 + 1.80828i −0.372688 + 0.239512i
\(58\) −4.85697 2.50394i −0.637751 0.328784i
\(59\) −0.121245 + 0.0233681i −0.0157848 + 0.00304227i −0.197138 0.980376i \(-0.563165\pi\)
0.181353 + 0.983418i \(0.441952\pi\)
\(60\) −0.965565 + 3.98011i −0.124654 + 0.513830i
\(61\) −2.10461 + 0.842560i −0.269468 + 0.107879i −0.502462 0.864600i \(-0.667572\pi\)
0.232994 + 0.972478i \(0.425148\pi\)
\(62\) −0.308624 + 0.356171i −0.0391953 + 0.0452337i
\(63\) −2.37101 + 1.17402i −0.298719 + 0.147913i
\(64\) −5.54454 1.62802i −0.693067 0.203503i
\(65\) 13.0399 18.3120i 1.61740 2.27132i
\(66\) −1.60462 0.642392i −0.197515 0.0790730i
\(67\) −9.30721 + 4.79820i −1.13706 + 0.586194i −0.920758 0.390134i \(-0.872429\pi\)
−0.216299 + 0.976327i \(0.569399\pi\)
\(68\) 3.99244 + 6.91510i 0.484154 + 0.838579i
\(69\) 3.42829 + 3.35363i 0.412718 + 0.403729i
\(70\) −1.37342 + 8.56314i −0.164155 + 1.02349i
\(71\) 4.06977 + 2.61548i 0.482992 + 0.310400i 0.759382 0.650645i \(-0.225502\pi\)
−0.276389 + 0.961046i \(0.589138\pi\)
\(72\) 2.28211 1.79467i 0.268949 0.211504i
\(73\) 8.50610 + 0.812234i 0.995564 + 0.0950648i 0.580100 0.814545i \(-0.303013\pi\)
0.415464 + 0.909610i \(0.363619\pi\)
\(74\) 2.18362 2.08207i 0.253840 0.242036i
\(75\) −7.62334 + 0.727941i −0.880268 + 0.0840554i
\(76\) −2.52136 + 2.90981i −0.289220 + 0.333778i
\(77\) 4.73907 + 1.47549i 0.540068 + 0.168148i
\(78\) −5.58572 + 1.64011i −0.632458 + 0.185706i
\(79\) 4.69258 13.5583i 0.527957 1.52543i −0.293957 0.955819i \(-0.594972\pi\)
0.821914 0.569612i \(-0.192906\pi\)
\(80\) −0.0630718 1.32404i −0.00705164 0.148032i
\(81\) 0.0475819 + 0.998867i 0.00528688 + 0.110985i
\(82\) 0.314872 0.909763i 0.0347718 0.100467i
\(83\) −3.15117 + 0.925268i −0.345886 + 0.101561i −0.450061 0.892998i \(-0.648598\pi\)
0.104175 + 0.994559i \(0.466780\pi\)
\(84\) −2.23806 + 2.06568i −0.244193 + 0.225384i
\(85\) −16.1610 + 18.6508i −1.75291 + 2.02297i
\(86\) −9.85357 + 0.940902i −1.06254 + 0.101460i
\(87\) 4.29246 4.09285i 0.460200 0.438800i
\(88\) −5.42187 0.517726i −0.577973 0.0551898i
\(89\) 13.6667 10.7476i 1.44867 1.13925i 0.484232 0.874940i \(-0.339099\pi\)
0.964439 0.264307i \(-0.0851432\pi\)
\(90\) 2.75757 + 1.77218i 0.290673 + 0.186804i
\(91\) 15.6187 5.96049i 1.63729 0.624829i
\(92\) 4.87424 + 2.59229i 0.508174 + 0.270265i
\(93\) −0.255761 0.442991i −0.0265212 0.0459360i
\(94\) −2.23072 + 1.15002i −0.230082 + 0.118615i
\(95\) −11.0474 4.42270i −1.13344 0.453760i
\(96\) 3.16899 4.45023i 0.323434 0.454200i
\(97\) −10.8456 3.18457i −1.10121 0.323344i −0.319876 0.947460i \(-0.603641\pi\)
−0.781332 + 0.624116i \(0.785459\pi\)
\(98\) −4.37941 + 4.73441i −0.442387 + 0.478248i
\(99\) 1.22853 1.41779i 0.123471 0.142494i
\(100\) −8.18402 + 3.27639i −0.818402 + 0.327639i
\(101\) 0.101085 0.416677i 0.0100583 0.0414609i −0.966561 0.256436i \(-0.917452\pi\)
0.976620 + 0.214975i \(0.0689669\pi\)
\(102\) 6.27529 1.20946i 0.621347 0.119755i
\(103\) −13.4247 6.92093i −1.32278 0.681939i −0.355266 0.934765i \(-0.615610\pi\)
−0.967512 + 0.252826i \(0.918640\pi\)
\(104\) −15.4324 + 9.91778i −1.51327 + 0.972518i
\(105\) −8.29556 4.44857i −0.809564 0.434136i
\(106\) −5.20077 + 1.52708i −0.505144 + 0.148324i
\(107\) −18.8122 + 7.53125i −1.81864 + 0.728074i −0.834419 + 0.551130i \(0.814197\pi\)
−0.984221 + 0.176944i \(0.943379\pi\)
\(108\) 0.376503 + 1.08783i 0.0362290 + 0.104677i
\(109\) −1.44904 2.03489i −0.138792 0.194907i 0.739329 0.673344i \(-0.235143\pi\)
−0.878122 + 0.478437i \(0.841203\pi\)
\(110\) −1.44978 5.97608i −0.138231 0.569797i
\(111\) 1.36039 + 2.97883i 0.129122 + 0.282738i
\(112\) 0.506659 0.845557i 0.0478748 0.0798976i
\(113\) 12.4279 + 7.98691i 1.16912 + 0.751345i 0.973354 0.229306i \(-0.0736457\pi\)
0.195762 + 0.980651i \(0.437282\pi\)
\(114\) 1.54079 + 2.66872i 0.144308 + 0.249949i
\(115\) −2.64410 + 16.8565i −0.246564 + 1.57188i
\(116\) 3.41372 5.91273i 0.316956 0.548984i
\(117\) 0.300651 6.31144i 0.0277952 0.583493i
\(118\) 0.0161902 + 0.112605i 0.00149043 + 0.0103662i
\(119\) −17.6904 + 4.88387i −1.62167 + 0.447704i
\(120\) 9.91082 + 2.91008i 0.904730 + 0.265653i
\(121\) 7.44671 0.711075i 0.676974 0.0646432i
\(122\) 0.683135 + 1.97379i 0.0618481 + 0.178698i
\(123\) 0.821356 + 0.645922i 0.0740592 + 0.0582408i
\(124\) −0.426160 0.406343i −0.0382703 0.0364907i
\(125\) −6.19284 7.14692i −0.553905 0.639240i
\(126\) 0.976496 + 2.23348i 0.0869931 + 0.198974i
\(127\) −1.13632 + 0.730267i −0.100832 + 0.0648007i −0.590085 0.807341i \(-0.700906\pi\)
0.489253 + 0.872142i \(0.337269\pi\)
\(128\) 1.83239 5.29433i 0.161962 0.467958i
\(129\) 2.53289 10.4407i 0.223008 0.919253i
\(130\) −16.2807 12.8032i −1.42791 1.12292i
\(131\) 6.61525 + 1.27498i 0.577977 + 0.111396i 0.469858 0.882742i \(-0.344305\pi\)
0.108119 + 0.994138i \(0.465517\pi\)
\(132\) 0.897114 1.96441i 0.0780838 0.170980i
\(133\) −5.01536 7.29074i −0.434887 0.632187i
\(134\) 4.00772 + 8.77568i 0.346214 + 0.758103i
\(135\) −2.79663 + 2.19929i −0.240695 + 0.189285i
\(136\) 17.8996 9.22790i 1.53488 0.791286i
\(137\) −6.08983 + 10.5479i −0.520289 + 0.901167i 0.479433 + 0.877579i \(0.340842\pi\)
−0.999722 + 0.0235883i \(0.992491\pi\)
\(138\) 3.23660 3.00800i 0.275518 0.256058i
\(139\) −3.19070 −0.270632 −0.135316 0.990803i \(-0.543205\pi\)
−0.135316 + 0.990803i \(0.543205\pi\)
\(140\) −10.6053 2.22314i −0.896313 0.187890i
\(141\) −0.387666 2.69628i −0.0326474 0.227068i
\(142\) 2.58541 3.63070i 0.216963 0.304682i
\(143\) −8.57896 + 8.18002i −0.717409 + 0.684048i
\(144\) −0.216113 0.303488i −0.0180094 0.0252907i
\(145\) 20.7200 + 3.99346i 1.72070 + 0.331639i
\(146\) 1.12039 7.79247i 0.0927240 0.644909i
\(147\) −3.30137 6.17260i −0.272292 0.509107i
\(148\) 2.46865 + 2.84898i 0.202922 + 0.234184i
\(149\) −6.51102 3.35667i −0.533404 0.274989i 0.170410 0.985373i \(-0.445491\pi\)
−0.703814 + 0.710384i \(0.748521\pi\)
\(150\) 0.335718 + 7.04759i 0.0274113 + 0.575434i
\(151\) 15.1146 2.91310i 1.23001 0.237065i 0.467471 0.884008i \(-0.345165\pi\)
0.762538 + 0.646944i \(0.223953\pi\)
\(152\) 7.02781 + 6.70101i 0.570031 + 0.543523i
\(153\) −0.987160 + 6.86585i −0.0798072 + 0.555071i
\(154\) 1.56563 4.29664i 0.126162 0.346233i
\(155\) 0.756012 1.65544i 0.0607244 0.132968i
\(156\) −1.71482 7.06859i −0.137296 0.565940i
\(157\) −2.86219 0.273306i −0.228428 0.0218122i −0.0197856 0.999804i \(-0.506298\pi\)
−0.208642 + 0.977992i \(0.566904\pi\)
\(158\) −12.2719 4.91291i −0.976297 0.390850i
\(159\) 0.279931 5.87648i 0.0222000 0.466035i
\(160\) 19.4372 1.53665
\(161\) −8.58404 + 9.34421i −0.676518 + 0.736427i
\(162\) 0.921333 0.0723867
\(163\) −0.960693 + 20.1674i −0.0752473 + 1.57963i 0.573870 + 0.818947i \(0.305442\pi\)
−0.649117 + 0.760688i \(0.724862\pi\)
\(164\) 1.11668 + 0.447053i 0.0871983 + 0.0349089i
\(165\) 6.64427 + 0.634451i 0.517255 + 0.0493919i
\(166\) 0.713371 + 2.94055i 0.0553683 + 0.228231i
\(167\) 3.44054 7.53373i 0.266237 0.582977i −0.728546 0.684997i \(-0.759803\pi\)
0.994782 + 0.102020i \(0.0325306\pi\)
\(168\) 4.93528 + 5.88602i 0.380765 + 0.454116i
\(169\) −3.83177 + 26.6506i −0.294752 + 2.05004i
\(170\) 16.4557 + 15.6905i 1.26209 + 1.20340i
\(171\) −3.28425 + 0.632987i −0.251153 + 0.0484057i
\(172\) −0.588464 12.3534i −0.0448700 0.941937i
\(173\) −3.17374 1.63618i −0.241295 0.124396i 0.333338 0.942807i \(-0.391825\pi\)
−0.574633 + 0.818411i \(0.694855\pi\)
\(174\) −3.57843 4.12973i −0.271280 0.313074i
\(175\) −2.55754 20.0992i −0.193332 1.51935i
\(176\) −0.0994708 + 0.691835i −0.00749789 + 0.0521490i
\(177\) −0.121245 0.0233681i −0.00911336 0.00175646i
\(178\) −9.29180 13.0485i −0.696450 0.978027i
\(179\) −9.51244 + 9.07009i −0.710993 + 0.677931i −0.956589 0.291442i \(-0.905865\pi\)
0.245595 + 0.969372i \(0.421017\pi\)
\(180\) −2.37566 + 3.33614i −0.177071 + 0.248661i
\(181\) −1.05314 7.32476i −0.0782794 0.544445i −0.990792 0.135396i \(-0.956769\pi\)
0.912512 0.409050i \(-0.134140\pi\)
\(182\) −4.80067 14.6351i −0.355849 1.08482i
\(183\) −2.26700 −0.167582
\(184\) 7.11543 11.9681i 0.524556 0.882299i
\(185\) −5.82550 + 10.0901i −0.428300 + 0.741837i
\(186\) −0.418892 + 0.215954i −0.0307146 + 0.0158345i
\(187\) 10.2288 8.04402i 0.748004 0.588237i
\(188\) −1.30263 2.85236i −0.0950039 0.208029i
\(189\) −2.63751 + 0.208708i −0.191850 + 0.0151812i
\(190\) −4.55447 + 9.97290i −0.330416 + 0.723510i
\(191\) −13.1755 2.53936i −0.953343 0.183742i −0.311215 0.950339i \(-0.600736\pi\)
−0.642128 + 0.766598i \(0.721948\pi\)
\(192\) −4.54230 3.57210i −0.327812 0.257794i
\(193\) −0.875851 + 3.61031i −0.0630451 + 0.259876i −0.994608 0.103704i \(-0.966930\pi\)
0.931563 + 0.363580i \(0.118446\pi\)
\(194\) −3.40618 + 9.84151i −0.244550 + 0.706580i
\(195\) 18.9117 12.1538i 1.35429 0.870352i
\(196\) −5.64828 5.74705i −0.403449 0.410504i
\(197\) 1.57845 + 1.82162i 0.112460 + 0.129785i 0.809188 0.587550i \(-0.199907\pi\)
−0.696729 + 0.717335i \(0.745362\pi\)
\(198\) −1.25092 1.19275i −0.0888993 0.0847653i
\(199\) −1.16760 0.918213i −0.0827692 0.0650904i 0.575917 0.817508i \(-0.304645\pi\)
−0.658686 + 0.752418i \(0.728888\pi\)
\(200\) 7.27176 + 21.0104i 0.514191 + 1.48566i
\(201\) −10.4238 + 0.995355i −0.735240 + 0.0702069i
\(202\) −0.379032 0.111294i −0.0266686 0.00783061i
\(203\) 11.1795 + 11.0116i 0.784648 + 0.772863i
\(204\) 1.13637 + 7.90360i 0.0795615 + 0.553362i
\(205\) −0.176890 + 3.71339i −0.0123546 + 0.259354i
\(206\) −6.95778 + 12.0512i −0.484771 + 0.839649i
\(207\) 1.93630 + 4.38757i 0.134582 + 0.304957i
\(208\) 1.17707 + 2.03874i 0.0816148 + 0.141361i
\(209\) 5.27859 + 3.39235i 0.365128 + 0.234653i
\(210\) −4.45764 + 7.43930i −0.307606 + 0.513360i
\(211\) −5.80636 12.7141i −0.399726 0.875278i −0.997298 0.0734627i \(-0.976595\pi\)
0.597572 0.801815i \(-0.296132\pi\)
\(212\) −1.59664 6.58146i −0.109658 0.452016i
\(213\) 2.80616 + 3.94071i 0.192275 + 0.270013i
\(214\) 6.10623 + 17.6428i 0.417413 + 1.20604i
\(215\) 35.4855 14.2063i 2.42009 0.968859i
\(216\) 2.78565 0.817941i 0.189540 0.0556539i
\(217\) 1.15024 0.713103i 0.0780837 0.0484086i
\(218\) −1.93621 + 1.24433i −0.131137 + 0.0842763i
\(219\) 7.59492 + 3.91545i 0.513217 + 0.264582i
\(220\) 7.54446 1.45408i 0.508648 0.0980338i
\(221\) 10.3330 42.5932i 0.695072 2.86513i
\(222\) 2.80103 1.12136i 0.187993 0.0752609i
\(223\) −2.89496 + 3.34096i −0.193861 + 0.223727i −0.844355 0.535784i \(-0.820016\pi\)
0.650495 + 0.759511i \(0.274562\pi\)
\(224\) 12.0313 + 8.01099i 0.803878 + 0.535257i
\(225\) −7.34782 2.15751i −0.489854 0.143834i
\(226\) 7.89509 11.0871i 0.525174 0.737503i
\(227\) −3.88323 1.55461i −0.257739 0.103183i 0.239195 0.970972i \(-0.423117\pi\)
−0.496934 + 0.867788i \(0.665541\pi\)
\(228\) −3.42222 + 1.76428i −0.226642 + 0.116842i
\(229\) 14.3170 + 24.7979i 0.946097 + 1.63869i 0.753539 + 0.657403i \(0.228345\pi\)
0.192558 + 0.981286i \(0.438322\pi\)
\(230\) 15.3970 + 3.17231i 1.01525 + 0.209176i
\(231\) 3.85122 + 3.13113i 0.253392 + 0.206013i
\(232\) −14.4857 9.30939i −0.951032 0.611191i
\(233\) 1.82876 1.43816i 0.119806 0.0942167i −0.556458 0.830876i \(-0.687840\pi\)
0.676265 + 0.736659i \(0.263598\pi\)
\(234\) −5.79517 0.553371i −0.378842 0.0361750i
\(235\) 7.01406 6.68790i 0.457547 0.436270i
\(236\) −0.141496 + 0.0135112i −0.00921061 + 0.000879507i
\(237\) 9.39556 10.8431i 0.610307 0.704332i
\(238\) 3.71905 + 16.4943i 0.241070 + 1.06917i
\(239\) −9.88583 + 2.90274i −0.639461 + 0.187763i −0.585361 0.810773i \(-0.699047\pi\)
−0.0541003 + 0.998536i \(0.517229\pi\)
\(240\) 0.433542 1.25264i 0.0279850 0.0808574i
\(241\) 0.650062 + 13.6465i 0.0418742 + 0.879047i 0.917907 + 0.396796i \(0.129878\pi\)
−0.876033 + 0.482251i \(0.839819\pi\)
\(242\) −0.327940 6.88430i −0.0210808 0.442540i
\(243\) −0.327068 + 0.945001i −0.0209814 + 0.0606218i
\(244\) −2.50394 + 0.735223i −0.160298 + 0.0470679i
\(245\) 11.0757 22.3063i 0.707601 1.42510i
\(246\) 0.630442 0.727569i 0.0401955 0.0463881i
\(247\) 21.0381 2.00889i 1.33862 0.127823i
\(248\) −1.07480 + 1.02482i −0.0682499 + 0.0650762i
\(249\) −3.26934 0.312184i −0.207186 0.0197838i
\(250\) −6.84872 + 5.38589i −0.433151 + 0.340634i
\(251\) 8.87586 + 5.70417i 0.560239 + 0.360044i 0.789908 0.613225i \(-0.210128\pi\)
−0.229669 + 0.973269i \(0.573764\pi\)
\(252\) −2.84548 + 1.08590i −0.179249 + 0.0684056i
\(253\) 3.05115 8.46386i 0.191824 0.532119i
\(254\) 0.622242 + 1.07775i 0.0390429 + 0.0676243i
\(255\) −21.9352 + 11.3084i −1.37364 + 0.708159i
\(256\) −15.5213 6.21381i −0.970084 0.388363i
\(257\) −2.13058 + 2.99198i −0.132902 + 0.186635i −0.875664 0.482921i \(-0.839576\pi\)
0.742762 + 0.669555i \(0.233515\pi\)
\(258\) −9.49744 2.78870i −0.591285 0.173617i
\(259\) −7.76450 + 3.84464i −0.482463 + 0.238894i
\(260\) 16.9466 19.5574i 1.05098 1.21290i
\(261\) 5.50614 2.20433i 0.340822 0.136444i
\(262\) 1.46336 6.03205i 0.0904066 0.372661i
\(263\) −2.19980 + 0.423978i −0.135646 + 0.0261436i −0.256622 0.966512i \(-0.582610\pi\)
0.120976 + 0.992655i \(0.461397\pi\)
\(264\) −4.84107 2.49575i −0.297947 0.153603i
\(265\) 17.6084 11.3162i 1.08167 0.695150i
\(266\) −6.92946 + 4.29597i −0.424872 + 0.263403i
\(267\) 16.6822 4.89835i 1.02094 0.299774i
\(268\) −11.1905 + 4.47999i −0.683567 + 0.273659i
\(269\) −6.07069 17.5401i −0.370136 1.06944i −0.964235 0.265047i \(-0.914612\pi\)
0.594099 0.804392i \(-0.297509\pi\)
\(270\) 1.90138 + 2.67012i 0.115715 + 0.162498i
\(271\) 2.28767 + 9.42989i 0.138966 + 0.572825i 0.998130 + 0.0611252i \(0.0194689\pi\)
−0.859164 + 0.511700i \(0.829016\pi\)
\(272\) −1.07357 2.35079i −0.0650947 0.142537i
\(273\) 16.7152 + 0.271373i 1.01165 + 0.0164243i
\(274\) 9.44014 + 6.06681i 0.570300 + 0.366509i
\(275\) 7.18326 + 12.4418i 0.433167 + 0.750267i
\(276\) 3.56163 + 4.21817i 0.214385 + 0.253904i
\(277\) 1.66556 2.88483i 0.100074 0.173333i −0.811641 0.584156i \(-0.801425\pi\)
0.911715 + 0.410824i \(0.134759\pi\)
\(278\) −0.139877 + 2.93637i −0.00838924 + 0.176112i
\(279\) −0.0727971 0.506315i −0.00435825 0.0303123i
\(280\) −6.87323 + 26.4501i −0.410754 + 1.58070i
\(281\) 13.5072 + 3.96608i 0.805774 + 0.236596i 0.658579 0.752511i \(-0.271158\pi\)
0.147194 + 0.989108i \(0.452976\pi\)
\(282\) −2.49835 + 0.238564i −0.148775 + 0.0142063i
\(283\) 1.76128 + 5.08887i 0.104697 + 0.302502i 0.985167 0.171600i \(-0.0548938\pi\)
−0.880470 + 0.474103i \(0.842773\pi\)
\(284\) 4.37748 + 3.44249i 0.259756 + 0.204274i
\(285\) −8.61228 8.21179i −0.510147 0.486425i
\(286\) 7.15189 + 8.25373i 0.422900 + 0.488053i
\(287\) −1.63996 + 2.22563i −0.0968036 + 0.131375i
\(288\) 4.59597 2.95365i 0.270820 0.174046i
\(289\) −10.1765 + 29.4031i −0.598619 + 1.72960i
\(290\) 4.58348 18.8933i 0.269151 1.10946i
\(291\) −8.88516 6.98736i −0.520857 0.409607i
\(292\) 9.65855 + 1.86153i 0.565224 + 0.108938i
\(293\) −10.6155 + 23.2448i −0.620167 + 1.35798i 0.295231 + 0.955426i \(0.404603\pi\)
−0.915398 + 0.402550i \(0.868124\pi\)
\(294\) −5.82530 + 2.76761i −0.339739 + 0.161411i
\(295\) −0.182495 0.399608i −0.0106253 0.0232661i
\(296\) 7.47339 5.87714i 0.434382 0.341602i
\(297\) 1.66746 0.859638i 0.0967561 0.0498812i
\(298\) −3.37454 + 5.84487i −0.195482 + 0.338584i
\(299\) −9.54401 28.7607i −0.551945 1.66327i
\(300\) −8.81550 −0.508963
\(301\) 27.8201 + 5.83180i 1.60352 + 0.336139i
\(302\) −2.01829 14.0375i −0.116140 0.807768i
\(303\) 0.248707 0.349260i 0.0142879 0.0200645i
\(304\) 0.901873 0.859934i 0.0517260 0.0493206i
\(305\) −4.67849 6.57002i −0.267889 0.376198i
\(306\) 6.27529 + 1.20946i 0.358735 + 0.0691404i
\(307\) −0.716537 + 4.98362i −0.0408949 + 0.284430i 0.959104 + 0.283053i \(0.0913474\pi\)
−0.999999 + 0.00137690i \(0.999562\pi\)
\(308\) 5.26921 + 2.20938i 0.300241 + 0.125891i
\(309\) −9.89084 11.4146i −0.562670 0.649356i
\(310\) −1.49034 0.768322i −0.0846455 0.0436378i
\(311\) −0.984450 20.6662i −0.0558230 1.17187i −0.836871 0.547399i \(-0.815618\pi\)
0.781048 0.624470i \(-0.214685\pi\)
\(312\) −18.0130 + 3.47172i −1.01978 + 0.196547i
\(313\) 13.6871 + 13.0506i 0.773638 + 0.737662i 0.970062 0.242857i \(-0.0780845\pi\)
−0.196424 + 0.980519i \(0.562933\pi\)
\(314\) −0.376996 + 2.62206i −0.0212751 + 0.147972i
\(315\) −6.04797 7.21306i −0.340764 0.406410i
\(316\) 6.86098 15.0235i 0.385960 0.845135i
\(317\) 6.88679 + 28.3877i 0.386801 + 1.59441i 0.749169 + 0.662379i \(0.230453\pi\)
−0.362369 + 0.932035i \(0.618032\pi\)
\(318\) −5.39579 0.515236i −0.302581 0.0288930i
\(319\) −10.3296 4.13534i −0.578345 0.231535i
\(320\) 0.978247 20.5359i 0.0546856 1.14799i
\(321\) −20.2637 −1.13101
\(322\) 8.22306 + 8.30944i 0.458253 + 0.463067i
\(323\) −23.2003 −1.29090
\(324\) −0.0547737 + 1.14984i −0.00304298 + 0.0638801i
\(325\) 44.9218 + 17.9840i 2.49181 + 0.997571i
\(326\) 18.5178 + 1.76823i 1.02560 + 0.0979333i
\(327\) −0.588948 2.42767i −0.0325689 0.134251i
\(328\) 1.26022 2.75950i 0.0695841 0.152368i
\(329\) 7.09801 1.24888i 0.391326 0.0688532i
\(330\) 0.875155 6.08683i 0.0481757 0.335069i
\(331\) −22.0370 21.0122i −1.21126 1.15493i −0.983440 0.181232i \(-0.941992\pi\)
−0.227820 0.973703i \(-0.573160\pi\)
\(332\) −3.71228 + 0.715483i −0.203738 + 0.0392673i
\(333\) 0.155820 + 3.27106i 0.00853887 + 0.179253i
\(334\) −6.78238 3.49656i −0.371115 0.191323i
\(335\) −24.3966 28.1552i −1.33293 1.53828i
\(336\) 0.784628 0.596681i 0.0428049 0.0325516i
\(337\) −0.595625 + 4.14266i −0.0324458 + 0.225665i −0.999592 0.0285545i \(-0.990910\pi\)
0.967146 + 0.254220i \(0.0818187\pi\)
\(338\) 24.3583 + 4.69467i 1.32491 + 0.255356i
\(339\) 8.56921 + 12.0338i 0.465415 + 0.653585i
\(340\) −20.5603 + 19.6042i −1.11504 + 1.06319i
\(341\) −0.556634 + 0.781683i −0.0301434 + 0.0423305i
\(342\) 0.438554 + 3.05021i 0.0237143 + 0.164936i
\(343\) 16.0492 9.24246i 0.866575 0.499046i
\(344\) −31.1913 −1.68172
\(345\) −8.71964 + 14.6664i −0.469450 + 0.789611i
\(346\) −1.64489 + 2.84903i −0.0884298 + 0.153165i
\(347\) 1.03238 0.532229i 0.0554211 0.0285716i −0.430293 0.902689i \(-0.641590\pi\)
0.485714 + 0.874118i \(0.338560\pi\)
\(348\) 5.36673 4.22044i 0.287687 0.226239i
\(349\) −4.32124 9.46221i −0.231311 0.506500i 0.758012 0.652241i \(-0.226171\pi\)
−0.989323 + 0.145740i \(0.953444\pi\)
\(350\) −18.6092 + 1.47255i −0.994701 + 0.0787113i
\(351\) 2.62484 5.74760i 0.140104 0.306784i
\(352\) −10.0639 1.93966i −0.536407 0.103384i
\(353\) 12.4633 + 9.80129i 0.663357 + 0.521670i 0.892112 0.451814i \(-0.149223\pi\)
−0.228755 + 0.973484i \(0.573465\pi\)
\(354\) −0.0268207 + 0.110556i −0.00142550 + 0.00587601i
\(355\) −5.62942 + 16.2651i −0.298778 + 0.863263i
\(356\) 16.8372 10.8206i 0.892370 0.573491i
\(357\) −18.2383 2.04081i −0.965274 0.108011i
\(358\) 7.93010 + 9.15182i 0.419119 + 0.483689i
\(359\) −7.09128 6.76152i −0.374263 0.356860i 0.479480 0.877553i \(-0.340825\pi\)
−0.853744 + 0.520693i \(0.825674\pi\)
\(360\) 8.11932 + 6.38511i 0.427926 + 0.336525i
\(361\) 2.55539 + 7.38332i 0.134494 + 0.388596i
\(362\) −6.78707 + 0.648087i −0.356720 + 0.0340627i
\(363\) 7.17757 + 2.10752i 0.376725 + 0.110616i
\(364\) 18.5502 5.12127i 0.972297 0.268427i
\(365\) 4.32648 + 30.0913i 0.226458 + 1.57505i
\(366\) −0.0993826 + 2.08630i −0.00519481 + 0.109053i
\(367\) 4.79047 8.29734i 0.250061 0.433118i −0.713482 0.700674i \(-0.752883\pi\)
0.963542 + 0.267556i \(0.0862161\pi\)
\(368\) −1.49067 0.985161i −0.0777064 0.0513551i
\(369\) 0.522456 + 0.904920i 0.0271980 + 0.0471083i
\(370\) 9.03040 + 5.80348i 0.469468 + 0.301709i
\(371\) 15.5633 + 0.252672i 0.808006 + 0.0131181i
\(372\) −0.244611 0.535624i −0.0126825 0.0277708i
\(373\) −0.537822 2.21693i −0.0278474 0.114789i 0.956192 0.292742i \(-0.0945676\pi\)
−0.984039 + 0.177953i \(0.943052\pi\)
\(374\) −6.95440 9.76609i −0.359604 0.504993i
\(375\) −3.09299 8.93662i −0.159722 0.461485i
\(376\) −7.34198 + 2.93928i −0.378634 + 0.151582i
\(377\) −35.9575 + 10.5581i −1.85191 + 0.543769i
\(378\) 0.0764463 + 2.43642i 0.00393197 + 0.125316i
\(379\) −13.7813 + 8.85671i −0.707898 + 0.454939i −0.844408 0.535700i \(-0.820048\pi\)
0.136510 + 0.990639i \(0.456411\pi\)
\(380\) −12.1756 6.27696i −0.624596 0.322001i
\(381\) −1.32633 + 0.255630i −0.0679501 + 0.0130963i
\(382\) −2.91454 + 12.0139i −0.149121 + 0.614685i
\(383\) −24.6872 + 9.88325i −1.26146 + 0.505011i −0.903444 0.428706i \(-0.858970\pi\)
−0.358012 + 0.933717i \(0.616545\pi\)
\(384\) 3.66884 4.23406i 0.187224 0.216069i
\(385\) −1.12647 + 17.6231i −0.0574104 + 0.898155i
\(386\) 3.28413 + 0.964308i 0.167158 + 0.0490820i
\(387\) 6.23187 8.75144i 0.316784 0.444861i
\(388\) −12.0799 4.83607i −0.613264 0.245514i
\(389\) 5.89429 3.03872i 0.298852 0.154069i −0.302279 0.953220i \(-0.597747\pi\)
0.601131 + 0.799151i \(0.294717\pi\)
\(390\) −10.3559 17.9370i −0.524394 0.908277i
\(391\) 7.42862 + 32.4260i 0.375681 + 1.63985i
\(392\) −15.1558 + 13.5395i −0.765483 + 0.683847i
\(393\) 5.66752 + 3.64229i 0.285889 + 0.183729i
\(394\) 1.74562 1.37277i 0.0879430 0.0691591i
\(395\) 50.8143 + 4.85217i 2.55674 + 0.244139i
\(396\) 1.56295 1.49027i 0.0785411 0.0748888i
\(397\) −30.8185 + 2.94281i −1.54674 + 0.147695i −0.833220 0.552942i \(-0.813505\pi\)
−0.713517 + 0.700638i \(0.752899\pi\)
\(398\) −0.896208 + 1.03428i −0.0449229 + 0.0518437i
\(399\) −1.94641 8.63251i −0.0974423 0.432166i
\(400\) 2.73759 0.803829i 0.136880 0.0401915i
\(401\) −9.94654 + 28.7386i −0.496707 + 1.43514i 0.366562 + 0.930394i \(0.380535\pi\)
−0.863268 + 0.504746i \(0.831586\pi\)
\(402\) 0.459047 + 9.63657i 0.0228952 + 0.480629i
\(403\) 0.153789 + 3.22844i 0.00766079 + 0.160820i
\(404\) 0.161431 0.466423i 0.00803148 0.0232054i
\(405\) −3.41369 + 1.00235i −0.169628 + 0.0498072i
\(406\) 10.6240 9.80565i 0.527258 0.486646i
\(407\) 4.02314 4.64295i 0.199419 0.230142i
\(408\) 20.0471 1.91427i 0.992480 0.0947703i
\(409\) 1.87876 1.79140i 0.0928989 0.0885789i −0.642207 0.766531i \(-0.721981\pi\)
0.735106 + 0.677952i \(0.237132\pi\)
\(410\) 3.40964 + 0.325581i 0.168390 + 0.0160793i
\(411\) −9.57385 + 7.52896i −0.472243 + 0.371376i
\(412\) −14.6265 9.39990i −0.720597 0.463100i
\(413\) 0.0517357 0.322566i 0.00254575 0.0158724i
\(414\) 4.12272 1.58961i 0.202620 0.0781250i
\(415\) −5.84229 10.1191i −0.286787 0.496730i
\(416\) −30.6826 + 15.8180i −1.50434 + 0.775541i
\(417\) −2.96215 1.18586i −0.145057 0.0580720i
\(418\) 3.35335 4.70912i 0.164018 0.230330i
\(419\) 20.4705 + 6.01067i 1.00005 + 0.293640i 0.740476 0.672083i \(-0.234600\pi\)
0.259572 + 0.965724i \(0.416418\pi\)
\(420\) −9.01938 6.00550i −0.440101 0.293038i
\(421\) 21.7400 25.0893i 1.05954 1.22278i 0.0855202 0.996336i \(-0.472745\pi\)
0.974024 0.226443i \(-0.0727098\pi\)
\(422\) −11.9552 + 4.78616i −0.581972 + 0.232986i
\(423\) 0.642208 2.64722i 0.0312252 0.128712i
\(424\) −16.7716 + 3.23246i −0.814501 + 0.156982i
\(425\) −47.2145 24.3408i −2.29024 1.18070i
\(426\) 3.74961 2.40973i 0.181669 0.116752i
\(427\) −0.188101 5.99497i −0.00910286 0.290117i
\(428\) −22.3816 + 6.57182i −1.08185 + 0.317661i
\(429\) −11.0046 + 4.40559i −0.531309 + 0.212704i
\(430\) −11.5182 33.2797i −0.555458 1.60489i
\(431\) −5.44420 7.64530i −0.262238 0.368261i 0.662373 0.749174i \(-0.269549\pi\)
−0.924611 + 0.380913i \(0.875610\pi\)
\(432\) −0.0878372 0.362070i −0.00422607 0.0174201i
\(433\) −14.5460 31.8513i −0.699036 1.53067i −0.841137 0.540823i \(-0.818113\pi\)
0.142101 0.989852i \(-0.454614\pi\)
\(434\) −0.605836 1.08982i −0.0290810 0.0523130i
\(435\) 17.7516 + 11.4083i 0.851123 + 0.546984i
\(436\) −1.43783 2.49040i −0.0688598 0.119269i
\(437\) −13.6040 + 8.49888i −0.650768 + 0.406557i
\(438\) 3.93630 6.81787i 0.188084 0.325771i
\(439\) −0.201223 + 4.22419i −0.00960384 + 0.201609i 0.988966 + 0.148144i \(0.0473298\pi\)
−0.998570 + 0.0534657i \(0.982973\pi\)
\(440\) −2.75774 19.1805i −0.131470 0.914394i
\(441\) −0.770760 6.95744i −0.0367029 0.331307i
\(442\) −38.7451 11.3766i −1.84291 0.541129i
\(443\) −0.533142 + 0.0509089i −0.0253303 + 0.00241876i −0.107714 0.994182i \(-0.534353\pi\)
0.0823832 + 0.996601i \(0.473747\pi\)
\(444\) 1.23296 + 3.56240i 0.0585137 + 0.169064i
\(445\) 48.6236 + 38.2380i 2.30498 + 1.81266i
\(446\) 2.94774 + 2.81066i 0.139579 + 0.133089i
\(447\) −4.79708 5.53612i −0.226894 0.261850i
\(448\) 9.06935 12.3083i 0.428487 0.581511i
\(449\) 23.6280 15.1848i 1.11507 0.716615i 0.152682 0.988275i \(-0.451209\pi\)
0.962393 + 0.271660i \(0.0875727\pi\)
\(450\) −2.30766 + 6.66753i −0.108784 + 0.314311i
\(451\) 0.462150 1.90501i 0.0217618 0.0897033i
\(452\) 13.3676 + 10.5124i 0.628757 + 0.494460i
\(453\) 15.1146 + 2.91310i 0.710146 + 0.136869i
\(454\) −1.60093 + 3.50555i −0.0751353 + 0.164523i
\(455\) 33.7093 + 49.0026i 1.58032 + 2.29728i
\(456\) 4.03388 + 8.83297i 0.188904 + 0.413642i
\(457\) −13.4744 + 10.5964i −0.630308 + 0.495680i −0.881454 0.472269i \(-0.843435\pi\)
0.251146 + 0.967949i \(0.419193\pi\)
\(458\) 23.4488 12.0887i 1.09569 0.564869i
\(459\) −3.46823 + 6.00715i −0.161883 + 0.280390i
\(460\) −4.87446 + 19.0272i −0.227273 + 0.887146i
\(461\) −5.94823 −0.277037 −0.138518 0.990360i \(-0.544234\pi\)
−0.138518 + 0.990360i \(0.544234\pi\)
\(462\) 3.05038 3.40697i 0.141917 0.158507i
\(463\) −0.833055 5.79402i −0.0387153 0.269271i 0.961264 0.275628i \(-0.0888857\pi\)
−0.999980 + 0.00635666i \(0.997977\pi\)
\(464\) −1.28176 + 1.79999i −0.0595044 + 0.0835623i
\(465\) 1.31712 1.25587i 0.0610800 0.0582397i
\(466\) −1.24335 1.74604i −0.0575970 0.0808837i
\(467\) 10.1018 + 1.94696i 0.467455 + 0.0900945i 0.417539 0.908659i \(-0.362893\pi\)
0.0499156 + 0.998753i \(0.484105\pi\)
\(468\) 1.03514 7.19959i 0.0478496 0.332801i
\(469\) −3.49707 27.4827i −0.161480 1.26903i
\(470\) −5.84731 6.74816i −0.269716 0.311269i
\(471\) −2.55559 1.31750i −0.117755 0.0607071i
\(472\) 0.0170574 + 0.358078i 0.000785129 + 0.0164819i
\(473\) −19.7908 + 3.81436i −0.909981 + 0.175385i
\(474\) −9.56686 9.12198i −0.439420 0.418986i
\(475\) 3.64521 25.3530i 0.167254 1.16328i
\(476\) −20.8064 + 3.66085i −0.953659 + 0.167795i
\(477\) 2.44395 5.35150i 0.111901 0.245028i
\(478\) 2.23798 + 9.22508i 0.102363 + 0.421945i
\(479\) −36.6064 3.49549i −1.67259 0.159713i −0.784734 0.619833i \(-0.787200\pi\)
−0.887857 + 0.460120i \(0.847806\pi\)
\(480\) 18.0449 + 7.22408i 0.823632 + 0.329732i
\(481\) 0.984562 20.6685i 0.0448921 0.942402i
\(482\) 12.5872 0.573332
\(483\) −11.4420 + 5.48449i −0.520631 + 0.249553i
\(484\) 8.61125 0.391420
\(485\) 1.91354 40.1702i 0.0868895 1.82403i
\(486\) 0.855336 + 0.342425i 0.0387988 + 0.0155327i
\(487\) 25.3893 + 2.42439i 1.15050 + 0.109859i 0.652828 0.757506i \(-0.273582\pi\)
0.497672 + 0.867365i \(0.334188\pi\)
\(488\) 1.55169 + 6.39616i 0.0702417 + 0.289540i
\(489\) −8.38735 + 18.3657i −0.379289 + 0.830528i
\(490\) −20.0427 11.1707i −0.905438 0.504643i
\(491\) 4.59343 31.9480i 0.207298 1.44179i −0.574624 0.818417i \(-0.694852\pi\)
0.781923 0.623375i \(-0.214239\pi\)
\(492\) 0.870540 + 0.830059i 0.0392470 + 0.0374219i
\(493\) 40.3966 7.78581i 1.81937 0.350655i
\(494\) −0.926478 19.4492i −0.0416842 0.875059i
\(495\) 5.93252 + 3.05843i 0.266647 + 0.137466i
\(496\) 0.124802 + 0.144030i 0.00560379 + 0.00646712i
\(497\) −10.1882 + 7.74773i −0.457002 + 0.347533i
\(498\) −0.430623 + 2.99505i −0.0192967 + 0.134211i
\(499\) −3.77061 0.726726i −0.168796 0.0325327i 0.104153 0.994561i \(-0.466787\pi\)
−0.272949 + 0.962029i \(0.587999\pi\)
\(500\) −6.31454 8.86754i −0.282395 0.396568i
\(501\) 5.99409 5.71535i 0.267796 0.255343i
\(502\) 5.63859 7.91830i 0.251663 0.353411i
\(503\) 0.0678446 + 0.471870i 0.00302504 + 0.0210396i 0.991278 0.131787i \(-0.0420715\pi\)
−0.988253 + 0.152827i \(0.951162\pi\)
\(504\) 2.39414 + 7.29865i 0.106643 + 0.325108i
\(505\) 1.52546 0.0678820
\(506\) −7.65544 3.17899i −0.340326 0.141323i
\(507\) −13.4623 + 23.3174i −0.597882 + 1.03556i
\(508\) −1.38205 + 0.712497i −0.0613186 + 0.0316119i
\(509\) 16.4801 12.9601i 0.730469 0.574447i −0.182144 0.983272i \(-0.558304\pi\)
0.912613 + 0.408825i \(0.134061\pi\)
\(510\) 9.44538 + 20.6825i 0.418248 + 0.915836i
\(511\) −9.72404 + 20.4093i −0.430166 + 0.902852i
\(512\) −1.74424 + 3.81936i −0.0770854 + 0.168793i
\(513\) −3.28425 0.632987i −0.145003 0.0279471i
\(514\) 2.66009 + 2.09191i 0.117331 + 0.0922704i
\(515\) 12.6688 52.2215i 0.558253 2.30115i
\(516\) 4.04498 11.6872i 0.178070 0.514500i
\(517\) −4.29902 + 2.76281i −0.189071 + 0.121508i
\(518\) 3.19780 + 7.31413i 0.140503 + 0.321364i
\(519\) −2.33829 2.69854i −0.102640 0.118453i
\(520\) −47.2354 45.0388i −2.07141 1.97508i
\(521\) 5.71569 + 4.49487i 0.250409 + 0.196924i 0.735471 0.677556i \(-0.236961\pi\)
−0.485063 + 0.874479i \(0.661203\pi\)
\(522\) −1.78724 5.16388i −0.0782252 0.226017i
\(523\) −5.11942 + 0.488846i −0.223857 + 0.0213757i −0.206382 0.978472i \(-0.566169\pi\)
−0.0174751 + 0.999847i \(0.505563\pi\)
\(524\) 7.44112 + 2.18491i 0.325067 + 0.0954482i
\(525\) 5.09576 19.6099i 0.222397 0.855848i
\(526\) 0.293745 + 2.04304i 0.0128079 + 0.0890809i
\(527\) 0.168828 3.54413i 0.00735424 0.154385i
\(528\) −0.349474 + 0.605307i −0.0152089 + 0.0263426i
\(529\) 16.2344 + 16.2924i 0.705845 + 0.708366i
\(530\) −9.64226 16.7009i −0.418833 0.725440i
\(531\) −0.103875 0.0667566i −0.00450780 0.00289699i
\(532\) −4.94950 8.90350i −0.214588 0.386016i
\(533\) −2.74273 6.00573i −0.118801 0.260137i
\(534\) −3.77657 15.5672i −0.163428 0.673660i
\(535\) −41.8188 58.7264i −1.80799 2.53896i
\(536\) 9.94309 + 28.7287i 0.429476 + 1.24089i
\(537\) −12.2021 + 4.88497i −0.526558 + 0.210802i
\(538\) −16.4081 + 4.81785i −0.707403 + 0.207712i
\(539\) −7.96058 + 10.4442i −0.342886 + 0.449862i
\(540\) −3.44540 + 2.21423i −0.148267 + 0.0952851i
\(541\) 34.5103 + 17.7913i 1.48371 + 0.764907i 0.994247 0.107115i \(-0.0341614\pi\)
0.489466 + 0.872022i \(0.337192\pi\)
\(542\) 8.77852 1.69192i 0.377070 0.0726742i
\(543\) 1.74464 7.19149i 0.0748695 0.308616i
\(544\) 35.1810 14.0844i 1.50837 0.603862i
\(545\) 5.82023 6.71691i 0.249311 0.287721i
\(546\) 0.982517 15.3709i 0.0420479 0.657816i
\(547\) −28.7539 8.44291i −1.22943 0.360993i −0.398394 0.917214i \(-0.630432\pi\)
−0.831034 + 0.556222i \(0.812251\pi\)
\(548\) −8.13272 + 11.4208i −0.347413 + 0.487873i
\(549\) −2.10461 0.842560i −0.0898227 0.0359596i
\(550\) 11.7649 6.06525i 0.501659 0.258623i
\(551\) 9.91867 + 17.1796i 0.422550 + 0.731878i
\(552\) 11.0538 8.46625i 0.470482 0.360348i
\(553\) 29.4535 + 23.9464i 1.25249 + 1.01830i
\(554\) −2.58186 1.65926i −0.109693 0.0704953i
\(555\) −9.15831 + 7.20217i −0.388749 + 0.305715i
\(556\) −3.65633 0.349137i −0.155063 0.0148067i
\(557\) 6.72148 6.40892i 0.284798 0.271555i −0.534190 0.845364i \(-0.679383\pi\)
0.818989 + 0.573809i \(0.194535\pi\)
\(558\) −0.469148 + 0.0447982i −0.0198606 + 0.00189646i
\(559\) −44.4547 + 51.3034i −1.88023 + 2.16990i
\(560\) 3.34851 + 1.04254i 0.141500 + 0.0440555i
\(561\) 12.4857 3.66615i 0.527149 0.154785i
\(562\) 4.24208 12.2567i 0.178941 0.517017i
\(563\) 1.61834 + 33.9731i 0.0682048 + 1.43180i 0.730685 + 0.682715i \(0.239201\pi\)
−0.662480 + 0.749080i \(0.730496\pi\)
\(564\) −0.149204 3.13217i −0.00628262 0.131888i
\(565\) −17.1906 + 49.6690i −0.723214 + 2.08959i
\(566\) 4.76045 1.39779i 0.200097 0.0587536i
\(567\) −2.52615 0.786505i −0.106088 0.0330301i
\(568\) 9.19764 10.6146i 0.385924 0.445381i
\(569\) 34.7973 3.32274i 1.45878 0.139296i 0.664699 0.747111i \(-0.268560\pi\)
0.794079 + 0.607815i \(0.207954\pi\)
\(570\) −7.93478 + 7.56579i −0.332351 + 0.316896i
\(571\) 18.9330 + 1.80788i 0.792320 + 0.0756573i 0.483364 0.875419i \(-0.339415\pi\)
0.308955 + 0.951077i \(0.400021\pi\)
\(572\) −10.7260 + 8.43502i −0.448477 + 0.352686i
\(573\) −11.2879 7.25429i −0.471558 0.303052i
\(574\) 1.97633 + 1.60680i 0.0824904 + 0.0670667i
\(575\) −36.6019 + 3.02315i −1.52641 + 0.126074i
\(576\) −2.88931 5.00442i −0.120388 0.208518i
\(577\) −18.3503 + 9.46024i −0.763933 + 0.393835i −0.795724 0.605660i \(-0.792909\pi\)
0.0317908 + 0.999495i \(0.489879\pi\)
\(578\) 26.6133 + 10.6543i 1.10697 + 0.443162i
\(579\) −2.15493 + 3.02617i −0.0895557 + 0.125763i
\(580\) 23.3068 + 6.84349i 0.967762 + 0.284160i
\(581\) 0.554286 8.67150i 0.0229956 0.359754i
\(582\) −6.81991 + 7.87060i −0.282694 + 0.326247i
\(583\) −10.2462 + 4.10198i −0.424356 + 0.169887i
\(584\) 5.84864 24.1084i 0.242018 0.997614i
\(585\) 22.0741 4.25444i 0.912652 0.175899i
\(586\) 20.9266 + 10.7884i 0.864469 + 0.445665i
\(587\) 1.25750 0.808145i 0.0519025 0.0333557i −0.514432 0.857531i \(-0.671997\pi\)
0.566335 + 0.824175i \(0.308361\pi\)
\(588\) −3.10772 7.43463i −0.128160 0.306599i
\(589\) 1.64158 0.482011i 0.0676401 0.0198609i
\(590\) −0.375755 + 0.150430i −0.0154696 + 0.00619309i
\(591\) 0.788349 + 2.27779i 0.0324284 + 0.0936956i
\(592\) −0.707720 0.993854i −0.0290871 0.0408471i
\(593\) 0.209750 + 0.864603i 0.00861341 + 0.0355050i 0.975956 0.217967i \(-0.0699426\pi\)
−0.967343 + 0.253472i \(0.918427\pi\)
\(594\) −0.718016 1.57223i −0.0294605 0.0645096i
\(595\) −31.7245 57.0683i −1.30058 2.33957i
\(596\) −7.09390 4.55897i −0.290578 0.186743i
\(597\) −0.742700 1.28639i −0.0303967 0.0526486i
\(598\) −26.8866 + 7.52242i −1.09947 + 0.307615i
\(599\) 2.28589 3.95928i 0.0933990 0.161772i −0.815540 0.578700i \(-0.803560\pi\)
0.908939 + 0.416928i \(0.136893\pi\)
\(600\) −1.05790 + 22.2080i −0.0431885 + 0.906638i
\(601\) 2.73324 + 19.0101i 0.111491 + 0.775438i 0.966471 + 0.256776i \(0.0826604\pi\)
−0.854980 + 0.518661i \(0.826431\pi\)
\(602\) 6.58654 25.3469i 0.268447 1.03306i
\(603\) −10.0471 2.95009i −0.409149 0.120137i
\(604\) 17.6391 1.68433i 0.717724 0.0685344i
\(605\) 8.70476 + 25.1507i 0.353899 + 1.02252i
\(606\) −0.310518 0.244194i −0.0126139 0.00991969i
\(607\) 20.2602 + 19.3180i 0.822335 + 0.784095i 0.979065 0.203547i \(-0.0652469\pi\)
−0.156730 + 0.987641i \(0.550095\pi\)
\(608\) 11.9662 + 13.8097i 0.485293 + 0.560058i
\(609\) 6.28610 + 14.3778i 0.254726 + 0.582619i
\(610\) −6.25141 + 4.01754i −0.253112 + 0.162665i
\(611\) −5.62945 + 16.2652i −0.227743 + 0.658021i
\(612\) −1.88250 + 7.75979i −0.0760957 + 0.313671i
\(613\) −35.6891 28.0662i −1.44147 1.13358i −0.967448 0.253071i \(-0.918559\pi\)
−0.474022 0.880513i \(-0.657198\pi\)
\(614\) 4.55496 + 0.877897i 0.183823 + 0.0354290i
\(615\) −1.54435 + 3.38165i −0.0622741 + 0.136361i
\(616\) 6.19819 13.0091i 0.249732 0.524150i
\(617\) 12.5994 + 27.5888i 0.507232 + 1.11068i 0.974051 + 0.226330i \(0.0726728\pi\)
−0.466819 + 0.884353i \(0.654600\pi\)
\(618\) −10.9384 + 8.60203i −0.440006 + 0.346024i
\(619\) −17.4231 + 8.98224i −0.700294 + 0.361027i −0.771320 0.636448i \(-0.780403\pi\)
0.0710255 + 0.997474i \(0.477373\pi\)
\(620\) 1.04748 1.81429i 0.0420679 0.0728638i
\(621\) 0.166902 + 4.79293i 0.00669755 + 0.192334i
\(622\) −19.0620 −0.764316
\(623\) 14.3376 + 43.7089i 0.574425 + 1.75116i
\(624\) 0.335028 + 2.33017i 0.0134118 + 0.0932814i
\(625\) −2.69427 + 3.78357i −0.107771 + 0.151343i
\(626\) 12.6103 12.0239i 0.504010 0.480573i
\(627\) 3.63967 + 5.11120i 0.145354 + 0.204122i
\(628\) −3.24998 0.626381i −0.129688 0.0249953i
\(629\) −3.23272 + 22.4841i −0.128897 + 0.896499i
\(630\) −6.90324 + 5.24967i −0.275032 + 0.209152i
\(631\) 9.68853 + 11.1812i 0.385694 + 0.445115i 0.915084 0.403264i \(-0.132124\pi\)
−0.529389 + 0.848379i \(0.677579\pi\)
\(632\) −37.0237 19.0871i −1.47272 0.759242i
\(633\) −0.665064 13.9614i −0.0264339 0.554916i
\(634\) 26.4268 5.09335i 1.04954 0.202283i
\(635\) −3.47804 3.31630i −0.138022 0.131603i
\(636\) 0.963807 6.70343i 0.0382174 0.265808i
\(637\) 0.669289 + 44.2251i 0.0265182 + 1.75226i
\(638\) −4.25855 + 9.32491i −0.168597 + 0.369177i
\(639\) 1.14054 + 4.70137i 0.0451191 + 0.185983i
\(640\) 19.8423 + 1.89471i 0.784334 + 0.0748948i
\(641\) 8.77963 + 3.51483i 0.346774 + 0.138828i 0.538510 0.842619i \(-0.318987\pi\)
−0.191736 + 0.981447i \(0.561412\pi\)
\(642\) −0.888336 + 18.6485i −0.0350598 + 0.735996i
\(643\) −30.3358 −1.19633 −0.598164 0.801374i \(-0.704103\pi\)
−0.598164 + 0.801374i \(0.704103\pi\)
\(644\) −10.8592 + 9.76854i −0.427913 + 0.384934i
\(645\) 38.2235 1.50505
\(646\) −1.01707 + 21.3510i −0.0400162 + 0.840044i
\(647\) −37.9761 15.2033i −1.49299 0.597704i −0.525543 0.850767i \(-0.676138\pi\)
−0.967450 + 0.253063i \(0.918562\pi\)
\(648\) 2.89011 + 0.275972i 0.113534 + 0.0108412i
\(649\) 0.0546121 + 0.225114i 0.00214371 + 0.00883650i
\(650\) 18.5198 40.5526i 0.726405 1.59061i
\(651\) 1.33288 0.234519i 0.0522398 0.00919153i
\(652\) −3.30768 + 23.0054i −0.129539 + 0.900961i
\(653\) 28.0416 + 26.7376i 1.09735 + 1.04632i 0.998688 + 0.0512012i \(0.0163050\pi\)
0.0986628 + 0.995121i \(0.468543\pi\)
\(654\) −2.25998 + 0.435576i −0.0883723 + 0.0170324i
\(655\) 1.14049 + 23.9418i 0.0445626 + 0.935484i
\(656\) −0.346028 0.178390i −0.0135101 0.00696495i
\(657\) 5.59565 + 6.45773i 0.218307 + 0.251940i
\(658\) −0.838166 6.58697i −0.0326751 0.256787i
\(659\) 1.64844 11.4652i 0.0642142 0.446620i −0.932195 0.361956i \(-0.882109\pi\)
0.996410 0.0846642i \(-0.0269817\pi\)
\(660\) 7.54446 + 1.45408i 0.293668 + 0.0565998i
\(661\) −21.6509 30.4045i −0.842124 1.18260i −0.981330 0.192334i \(-0.938394\pi\)
0.139206 0.990263i \(-0.455545\pi\)
\(662\) −20.3034 + 19.3592i −0.789113 + 0.752418i
\(663\) 25.4231 35.7018i 0.987352 1.38654i
\(664\) 1.35696 + 9.43784i 0.0526601 + 0.366259i
\(665\) 21.0011 23.4561i 0.814387 0.909589i
\(666\) 3.01715 0.116912
\(667\) 20.8353 19.3637i 0.806746 0.749766i
\(668\) 4.76699 8.25667i 0.184440 0.319460i
\(669\) −3.92929 + 2.02569i −0.151915 + 0.0783177i
\(670\) −26.9805 + 21.2177i −1.04235 + 0.819710i
\(671\) 1.76673 + 3.86859i 0.0682037 + 0.149345i
\(672\) 8.19213 + 11.9087i 0.316018 + 0.459390i
\(673\) 10.0799 22.0720i 0.388553 0.850813i −0.609751 0.792593i \(-0.708730\pi\)
0.998304 0.0582195i \(-0.0185423\pi\)
\(674\) 3.78634 + 0.729757i 0.145844 + 0.0281092i
\(675\) −6.01961 4.73387i −0.231695 0.182207i
\(676\) −7.30715 + 30.1205i −0.281044 + 1.15848i
\(677\) 7.85236 22.6879i 0.301791 0.871967i −0.687523 0.726163i \(-0.741302\pi\)
0.989313 0.145804i \(-0.0465770\pi\)
\(678\) 11.4502 7.35860i 0.439743 0.282605i
\(679\) 17.7405 24.0761i 0.680818 0.923957i
\(680\) 46.9196 + 54.1481i 1.79929 + 2.07649i
\(681\) −3.02728 2.88650i −0.116006 0.110611i
\(682\) 0.694972 + 0.546532i 0.0266119 + 0.0209278i
\(683\) 3.13725 + 9.06450i 0.120044 + 0.346843i 0.988974 0.148092i \(-0.0473131\pi\)
−0.868930 + 0.494935i \(0.835192\pi\)
\(684\) −3.83279 + 0.365987i −0.146551 + 0.0139939i
\(685\) −41.5776 12.2083i −1.58860 0.466455i
\(686\) −7.80216 15.1751i −0.297888 0.579388i
\(687\) 4.07506 + 28.3426i 0.155473 + 1.08134i
\(688\) −0.190458 + 3.99821i −0.00726116 + 0.152430i
\(689\) −18.5866 + 32.1929i −0.708093 + 1.22645i
\(690\) 13.1150 + 8.66755i 0.499281 + 0.329968i
\(691\) −3.97839 6.89077i −0.151345 0.262137i 0.780377 0.625309i \(-0.215027\pi\)
−0.931722 + 0.363172i \(0.881694\pi\)
\(692\) −3.45786 2.22223i −0.131448 0.0844766i
\(693\) 2.41162 + 4.33820i 0.0916100 + 0.164795i
\(694\) −0.444547 0.973421i −0.0168748 0.0369506i
\(695\) −2.67632 11.0319i −0.101518 0.418465i
\(696\) −9.98810 14.0263i −0.378598 0.531667i
\(697\) 2.37058 + 6.84935i 0.0897922 + 0.259438i
\(698\) −8.89741 + 3.56198i −0.336772 + 0.134823i
\(699\) 2.23227 0.655455i 0.0844324 0.0247916i
\(700\) −0.731453 23.3121i −0.0276463 0.881116i
\(701\) 34.7119 22.3080i 1.31105 0.842560i 0.316680 0.948532i \(-0.397432\pi\)
0.994369 + 0.105972i \(0.0337954\pi\)
\(702\) −5.17438 2.66758i −0.195294 0.100681i
\(703\) −10.7552 + 2.07289i −0.405638 + 0.0781804i
\(704\) −2.55580 + 10.5351i −0.0963253 + 0.397058i
\(705\) 8.99727 3.60196i 0.338857 0.135658i
\(706\) 9.56640 11.0402i 0.360036 0.415504i
\(707\) 0.944238 + 0.628714i 0.0355117 + 0.0236452i
\(708\) −0.136382 0.0400454i −0.00512555 0.00150500i
\(709\) 27.3165 38.3607i 1.02589 1.44067i 0.132614 0.991168i \(-0.457663\pi\)
0.893281 0.449499i \(-0.148398\pi\)
\(710\) 14.7218 + 5.89373i 0.552501 + 0.221188i
\(711\) 12.7525 6.57437i 0.478256 0.246558i
\(712\) −25.2387 43.7148i −0.945862 1.63828i
\(713\) −1.19931 2.14002i −0.0449145 0.0801445i
\(714\) −2.67768 + 16.6951i −0.100210 + 0.624797i
\(715\) −35.4785 22.8007i −1.32682 0.852696i
\(716\) −11.8931 + 9.35284i −0.444466 + 0.349532i
\(717\) −10.2565 0.979380i −0.383037 0.0365756i
\(718\) −6.53343 + 6.22961i −0.243825 + 0.232487i
\(719\) 2.58884 0.247204i 0.0965474 0.00921916i −0.0466705 0.998910i \(-0.514861\pi\)
0.143218 + 0.989691i \(0.454255\pi\)
\(720\) 0.868045 1.00178i 0.0323501 0.0373340i
\(721\) 29.3647 27.1029i 1.09360 1.00937i
\(722\) 6.90682 2.02802i 0.257045 0.0754753i
\(723\) −4.46839 + 12.9106i −0.166181 + 0.480149i
\(724\) −0.405330 8.50893i −0.0150640 0.316232i
\(725\) 2.16115 + 45.3682i 0.0802633 + 1.68493i
\(726\) 2.25419 6.51305i 0.0836608 0.241722i
\(727\) 32.8563 9.64748i 1.21857 0.357805i 0.391646 0.920116i \(-0.371906\pi\)
0.826926 + 0.562311i \(0.190088\pi\)
\(728\) −10.6754 47.3463i −0.395656 1.75477i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) 27.8824 2.66245i 1.03197 0.0985416i
\(731\) 53.9342 51.4262i 1.99483 1.90207i
\(732\) −2.59783 0.248063i −0.0960187 0.00916867i
\(733\) −0.0145943 + 0.0114771i −0.000539055 + 0.000423917i −0.618428 0.785841i \(-0.712230\pi\)
0.617889 + 0.786265i \(0.287988\pi\)
\(734\) −7.42594 4.77236i −0.274097 0.176151i
\(735\) 18.5728 16.5920i 0.685066 0.612007i
\(736\) 15.4697 21.1464i 0.570221 0.779467i
\(737\) 9.82208 + 17.0123i 0.361801 + 0.626658i
\(738\) 0.855692 0.441140i 0.0314985 0.0162386i
\(739\) −40.2215 16.1023i −1.47957 0.592331i −0.515244 0.857044i \(-0.672299\pi\)
−0.964327 + 0.264713i \(0.914723\pi\)
\(740\) −7.77973 + 10.9251i −0.285988 + 0.401615i
\(741\) 20.2777 + 5.95407i 0.744919 + 0.218728i
\(742\) 0.914807 14.3117i 0.0335836 0.525397i
\(743\) −3.49457 + 4.03295i −0.128203 + 0.147954i −0.816222 0.577739i \(-0.803935\pi\)
0.688019 + 0.725693i \(0.258481\pi\)
\(744\) −1.37870 + 0.551947i −0.0505455 + 0.0202354i
\(745\) 6.14439 25.3275i 0.225113 0.927929i
\(746\) −2.06380 + 0.397765i −0.0755610 + 0.0145632i
\(747\) −2.91912 1.50491i −0.106805 0.0550618i
\(748\) 12.6017 8.09864i 0.460765 0.296115i
\(749\) −1.68135 53.5863i −0.0614352 1.95800i
\(750\) −8.35987 + 2.45468i −0.305259 + 0.0896322i
\(751\) −20.0220 + 8.01561i −0.730614 + 0.292494i −0.706987 0.707227i \(-0.749946\pi\)
−0.0236277 + 0.999721i \(0.507522\pi\)
\(752\) 0.331937 + 0.959070i 0.0121045 + 0.0349737i
\(753\) 6.12004 + 8.59439i 0.223027 + 0.313197i
\(754\) 8.14015 + 33.5542i 0.296447 + 1.22197i
\(755\) 22.7500 + 49.8156i 0.827958 + 1.81298i
\(756\) −3.04524 0.0494398i −0.110754 0.00179811i
\(757\) 16.5005 + 10.6042i 0.599722 + 0.385418i 0.804990 0.593288i \(-0.202170\pi\)
−0.205269 + 0.978706i \(0.565807\pi\)
\(758\) 7.54658 + 13.0711i 0.274104 + 0.474762i
\(759\) 5.97829 6.72358i 0.216998 0.244051i
\(760\) −17.2740 + 29.9195i −0.626596 + 1.08530i
\(761\) −1.19642 + 25.1159i −0.0433701 + 0.910450i 0.867419 + 0.497578i \(0.165777\pi\)
−0.910789 + 0.412872i \(0.864526\pi\)
\(762\) 0.177108 + 1.23182i 0.00641596 + 0.0446240i
\(763\) 6.37100 1.75888i 0.230646 0.0636756i
\(764\) −14.8203 4.35164i −0.536181 0.157437i
\(765\) −24.5669 + 2.34585i −0.888216 + 0.0848144i
\(766\) 8.01320 + 23.1526i 0.289529 + 0.836538i
\(767\) 0.613278 + 0.482287i 0.0221442 + 0.0174144i
\(768\) −12.1001 11.5374i −0.436624 0.416320i
\(769\) 19.7633 + 22.8081i 0.712683 + 0.822480i 0.990407 0.138181i \(-0.0441255\pi\)
−0.277724 + 0.960661i \(0.589580\pi\)
\(770\) 16.1689 + 1.80926i 0.582688 + 0.0652011i