Properties

Label 225.2.q.a.16.14
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 16.14
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0861137 + 0.0383403i) q^{2} +(1.36636 - 1.06445i) q^{3} +(-1.33232 + 1.47969i) q^{4} +(-0.0996266 - 2.23385i) q^{5} +(-0.0768514 + 0.144050i) q^{6} +(0.322971 - 0.559402i) q^{7} +(0.116257 - 0.357802i) q^{8} +(0.733899 - 2.90885i) q^{9} +O(q^{10})\) \(q+(-0.0861137 + 0.0383403i) q^{2} +(1.36636 - 1.06445i) q^{3} +(-1.33232 + 1.47969i) q^{4} +(-0.0996266 - 2.23385i) q^{5} +(-0.0768514 + 0.144050i) q^{6} +(0.322971 - 0.559402i) q^{7} +(0.116257 - 0.357802i) q^{8} +(0.733899 - 2.90885i) q^{9} +(0.0942256 + 0.188545i) q^{10} +(5.40026 - 2.40435i) q^{11} +(-0.245378 + 3.43997i) q^{12} +(-0.255067 - 0.113563i) q^{13} +(-0.00636459 + 0.0605550i) q^{14} +(-2.51394 - 2.94620i) q^{15} +(-0.412549 - 3.92514i) q^{16} +(-0.735171 + 2.26262i) q^{17} +(0.0483273 + 0.278630i) q^{18} +(-0.791053 + 2.43461i) q^{19} +(3.43813 + 2.82877i) q^{20} +(-0.154159 - 1.10813i) q^{21} +(-0.372853 + 0.414095i) q^{22} +(-0.562173 + 5.34872i) q^{23} +(-0.222013 - 0.612637i) q^{24} +(-4.98015 + 0.445101i) q^{25} +0.0263188 q^{26} +(-2.09355 - 4.75574i) q^{27} +(0.397440 + 1.22320i) q^{28} +(-0.794901 - 0.168961i) q^{29} +(0.329443 + 0.157323i) q^{30} +(0.0411395 - 0.00874448i) q^{31} +(0.562233 + 0.973816i) q^{32} +(4.81941 - 9.03351i) q^{33} +(-0.0234414 - 0.223030i) q^{34} +(-1.28180 - 0.665736i) q^{35} +(3.32640 + 4.96144i) q^{36} +(-6.04934 + 4.39510i) q^{37} +(-0.0252232 - 0.239983i) q^{38} +(-0.469396 + 0.116337i) q^{39} +(-0.810857 - 0.224054i) q^{40} +(8.91562 + 3.96949i) q^{41} +(0.0557613 + 0.0895149i) q^{42} +(-0.429402 + 0.743746i) q^{43} +(-3.63716 + 11.1940i) q^{44} +(-6.57104 - 1.34962i) q^{45} +(-0.156661 - 0.482152i) q^{46} +(1.61125 + 0.342483i) q^{47} +(-4.74181 - 4.92404i) q^{48} +(3.29138 + 5.70084i) q^{49} +(0.411794 - 0.229270i) q^{50} +(1.40394 + 3.87412i) q^{51} +(0.507867 - 0.226117i) q^{52} +(-2.47058 - 7.60367i) q^{53} +(0.362620 + 0.329267i) q^{54} +(-5.90896 - 11.8238i) q^{55} +(-0.162608 - 0.180594i) q^{56} +(1.51065 + 4.16860i) q^{57} +(0.0749299 - 0.0159268i) q^{58} +(2.32377 + 1.03461i) q^{59} +(7.70882 + 0.205424i) q^{60} +(-10.8863 + 4.84692i) q^{61} +(-0.00320741 + 0.00233032i) q^{62} +(-1.39019 - 1.35002i) q^{63} +(6.30025 + 4.57740i) q^{64} +(-0.228271 + 0.581094i) q^{65} +(-0.0686697 + 0.962687i) q^{66} +(-10.8408 + 2.30428i) q^{67} +(-2.36849 - 4.10235i) q^{68} +(4.92530 + 7.90670i) q^{69} +(0.135905 + 0.00818463i) q^{70} +(1.96555 + 6.04933i) q^{71} +(-0.955471 - 0.600764i) q^{72} +(10.1015 + 7.33920i) q^{73} +(0.352422 - 0.610413i) q^{74} +(-6.33091 + 5.90928i) q^{75} +(-2.54853 - 4.41418i) q^{76} +(0.399128 - 3.79745i) q^{77} +(0.0359611 - 0.0280150i) q^{78} +(7.36881 + 1.56629i) q^{79} +(-8.72707 + 1.31262i) q^{80} +(-7.92278 - 4.26960i) q^{81} -0.919949 q^{82} +(-8.55130 - 9.49718i) q^{83} +(1.84508 + 1.24828i) q^{84} +(5.12760 + 1.41684i) q^{85} +(0.00846196 - 0.0805102i) q^{86} +(-1.26597 + 0.615268i) q^{87} +(-0.232464 - 2.21174i) q^{88} +(-7.14652 - 5.19225i) q^{89} +(0.617601 - 0.135715i) q^{90} +(-0.145907 + 0.106007i) q^{91} +(-7.16543 - 7.95802i) q^{92} +(0.0469035 - 0.0557390i) q^{93} +(-0.151882 + 0.0322835i) q^{94} +(5.51736 + 1.52454i) q^{95} +(1.80479 + 0.732118i) q^{96} +(12.9608 + 2.75489i) q^{97} +(-0.502005 - 0.364728i) q^{98} +(-3.03064 - 17.4731i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0861137 + 0.0383403i −0.0608916 + 0.0271107i −0.436957 0.899483i \(-0.643944\pi\)
0.376065 + 0.926593i \(0.377277\pi\)
\(3\) 1.36636 1.06445i 0.788870 0.614560i
\(4\) −1.33232 + 1.47969i −0.666158 + 0.739843i
\(5\) −0.0996266 2.23385i −0.0445544 0.999007i
\(6\) −0.0768514 + 0.144050i −0.0313745 + 0.0588083i
\(7\) 0.322971 0.559402i 0.122072 0.211434i −0.798513 0.601978i \(-0.794380\pi\)
0.920584 + 0.390544i \(0.127713\pi\)
\(8\) 0.116257 0.357802i 0.0411030 0.126502i
\(9\) 0.733899 2.90885i 0.244633 0.969616i
\(10\) 0.0942256 + 0.188545i 0.0297968 + 0.0596232i
\(11\) 5.40026 2.40435i 1.62824 0.724938i 0.629591 0.776927i \(-0.283223\pi\)
0.998648 + 0.0519884i \(0.0165559\pi\)
\(12\) −0.245378 + 3.43997i −0.0708344 + 0.993034i
\(13\) −0.255067 0.113563i −0.0707428 0.0314967i 0.371060 0.928609i \(-0.378994\pi\)
−0.441803 + 0.897112i \(0.645661\pi\)
\(14\) −0.00636459 + 0.0605550i −0.00170101 + 0.0161840i
\(15\) −2.51394 2.94620i −0.649097 0.760706i
\(16\) −0.412549 3.92514i −0.103137 0.981286i
\(17\) −0.735171 + 2.26262i −0.178305 + 0.548767i −0.999769 0.0214938i \(-0.993158\pi\)
0.821464 + 0.570261i \(0.193158\pi\)
\(18\) 0.0483273 + 0.278630i 0.0113909 + 0.0656736i
\(19\) −0.791053 + 2.43461i −0.181480 + 0.558538i −0.999870 0.0161251i \(-0.994867\pi\)
0.818390 + 0.574663i \(0.194867\pi\)
\(20\) 3.43813 + 2.82877i 0.768789 + 0.632533i
\(21\) −0.154159 1.10813i −0.0336402 0.241814i
\(22\) −0.372853 + 0.414095i −0.0794925 + 0.0882853i
\(23\) −0.562173 + 5.34872i −0.117221 + 1.11528i 0.764863 + 0.644193i \(0.222807\pi\)
−0.882084 + 0.471092i \(0.843860\pi\)
\(24\) −0.222013 0.612637i −0.0453181 0.125054i
\(25\) −4.98015 + 0.445101i −0.996030 + 0.0890202i
\(26\) 0.0263188 0.00516154
\(27\) −2.09355 4.75574i −0.402903 0.915243i
\(28\) 0.397440 + 1.22320i 0.0751092 + 0.231162i
\(29\) −0.794901 0.168961i −0.147609 0.0313753i 0.133514 0.991047i \(-0.457374\pi\)
−0.281124 + 0.959672i \(0.590707\pi\)
\(30\) 0.329443 + 0.157323i 0.0601478 + 0.0287231i
\(31\) 0.0411395 0.00874448i 0.00738888 0.00157055i −0.204216 0.978926i \(-0.565464\pi\)
0.211605 + 0.977355i \(0.432131\pi\)
\(32\) 0.562233 + 0.973816i 0.0993896 + 0.172148i
\(33\) 4.81941 9.03351i 0.838951 1.57253i
\(34\) −0.0234414 0.223030i −0.00402016 0.0382493i
\(35\) −1.28180 0.665736i −0.216663 0.112530i
\(36\) 3.32640 + 4.96144i 0.554399 + 0.826907i
\(37\) −6.04934 + 4.39510i −0.994506 + 0.722551i −0.960903 0.276885i \(-0.910698\pi\)
−0.0336026 + 0.999435i \(0.510698\pi\)
\(38\) −0.0252232 0.239983i −0.00409174 0.0389303i
\(39\) −0.469396 + 0.116337i −0.0751635 + 0.0186288i
\(40\) −0.810857 0.224054i −0.128208 0.0354260i
\(41\) 8.91562 + 3.96949i 1.39239 + 0.619930i 0.959549 0.281542i \(-0.0908457\pi\)
0.432837 + 0.901472i \(0.357512\pi\)
\(42\) 0.0557613 + 0.0895149i 0.00860416 + 0.0138125i
\(43\) −0.429402 + 0.743746i −0.0654832 + 0.113420i −0.896908 0.442217i \(-0.854192\pi\)
0.831425 + 0.555637i \(0.187526\pi\)
\(44\) −3.63716 + 11.1940i −0.548323 + 1.68756i
\(45\) −6.57104 1.34962i −0.979552 0.201189i
\(46\) −0.156661 0.482152i −0.0230984 0.0710894i
\(47\) 1.61125 + 0.342483i 0.235026 + 0.0499562i 0.323919 0.946085i \(-0.395000\pi\)
−0.0888930 + 0.996041i \(0.528333\pi\)
\(48\) −4.74181 4.92404i −0.684421 0.710724i
\(49\) 3.29138 + 5.70084i 0.470197 + 0.814405i
\(50\) 0.411794 0.229270i 0.0582365 0.0324236i
\(51\) 1.40394 + 3.87412i 0.196590 + 0.542485i
\(52\) 0.507867 0.226117i 0.0704285 0.0313568i
\(53\) −2.47058 7.60367i −0.339361 1.04444i −0.964534 0.263958i \(-0.914972\pi\)
0.625174 0.780486i \(-0.285028\pi\)
\(54\) 0.362620 + 0.329267i 0.0493463 + 0.0448076i
\(55\) −5.90896 11.8238i −0.796764 1.59432i
\(56\) −0.162608 0.180594i −0.0217293 0.0241329i
\(57\) 1.51065 + 4.16860i 0.200091 + 0.552145i
\(58\) 0.0749299 0.0159268i 0.00983878 0.00209130i
\(59\) 2.32377 + 1.03461i 0.302530 + 0.134695i 0.552387 0.833588i \(-0.313717\pi\)
−0.249857 + 0.968283i \(0.580384\pi\)
\(60\) 7.70882 + 0.205424i 0.995204 + 0.0265201i
\(61\) −10.8863 + 4.84692i −1.39385 + 0.620584i −0.959898 0.280350i \(-0.909549\pi\)
−0.433956 + 0.900934i \(0.642883\pi\)
\(62\) −0.00320741 + 0.00233032i −0.000407342 + 0.000295951i
\(63\) −1.39019 1.35002i −0.175147 0.170086i
\(64\) 6.30025 + 4.57740i 0.787531 + 0.572175i
\(65\) −0.228271 + 0.581094i −0.0283136 + 0.0720759i
\(66\) −0.0686697 + 0.962687i −0.00845266 + 0.118499i
\(67\) −10.8408 + 2.30428i −1.32442 + 0.281513i −0.815227 0.579142i \(-0.803388\pi\)
−0.509189 + 0.860655i \(0.670054\pi\)
\(68\) −2.36849 4.10235i −0.287222 0.497483i
\(69\) 4.92530 + 7.90670i 0.592937 + 0.951854i
\(70\) 0.135905 + 0.00818463i 0.0162437 + 0.000978250i
\(71\) 1.96555 + 6.04933i 0.233267 + 0.717923i 0.997347 + 0.0728005i \(0.0231937\pi\)
−0.764079 + 0.645122i \(0.776806\pi\)
\(72\) −0.955471 0.600764i −0.112603 0.0708007i
\(73\) 10.1015 + 7.33920i 1.18230 + 0.858989i 0.992429 0.122821i \(-0.0391941\pi\)
0.189868 + 0.981810i \(0.439194\pi\)
\(74\) 0.352422 0.610413i 0.0409682 0.0709590i
\(75\) −6.33091 + 5.90928i −0.731030 + 0.682345i
\(76\) −2.54853 4.41418i −0.292336 0.506341i
\(77\) 0.399128 3.79745i 0.0454848 0.432759i
\(78\) 0.0359611 0.0280150i 0.00407179 0.00317208i
\(79\) 7.36881 + 1.56629i 0.829056 + 0.176221i 0.602846 0.797857i \(-0.294033\pi\)
0.226210 + 0.974079i \(0.427366\pi\)
\(80\) −8.72707 + 1.31262i −0.975717 + 0.146755i
\(81\) −7.92278 4.26960i −0.880309 0.474400i
\(82\) −0.919949 −0.101591
\(83\) −8.55130 9.49718i −0.938627 1.04245i −0.999019 0.0442760i \(-0.985902\pi\)
0.0603925 0.998175i \(-0.480765\pi\)
\(84\) 1.84508 + 1.24828i 0.201314 + 0.136198i
\(85\) 5.12760 + 1.41684i 0.556166 + 0.153678i
\(86\) 0.00846196 0.0805102i 0.000912476 0.00868163i
\(87\) −1.26597 + 0.615268i −0.135727 + 0.0659637i
\(88\) −0.232464 2.21174i −0.0247807 0.235773i
\(89\) −7.14652 5.19225i −0.757529 0.550377i 0.140622 0.990063i \(-0.455090\pi\)
−0.898151 + 0.439686i \(0.855090\pi\)
\(90\) 0.617601 0.135715i 0.0651009 0.0143056i
\(91\) −0.145907 + 0.106007i −0.0152952 + 0.0111126i
\(92\) −7.16543 7.95802i −0.747048 0.829681i
\(93\) 0.0469035 0.0557390i 0.00486367 0.00577987i
\(94\) −0.151882 + 0.0322835i −0.0156654 + 0.00332979i
\(95\) 5.51736 + 1.52454i 0.566069 + 0.156415i
\(96\) 1.80479 + 0.732118i 0.184201 + 0.0747215i
\(97\) 12.9608 + 2.75489i 1.31597 + 0.279717i 0.811823 0.583904i \(-0.198475\pi\)
0.504142 + 0.863621i \(0.331809\pi\)
\(98\) −0.502005 0.364728i −0.0507101 0.0368431i
\(99\) −3.03064 17.4731i −0.304591 1.75611i
\(100\) 5.97652 7.96207i 0.597652 0.796207i
\(101\) 5.97629 10.3512i 0.594664 1.02999i −0.398931 0.916981i \(-0.630619\pi\)
0.993594 0.113006i \(-0.0360481\pi\)
\(102\) −0.269433 0.279787i −0.0266778 0.0277031i
\(103\) −3.15521 + 3.50421i −0.310892 + 0.345280i −0.878260 0.478184i \(-0.841295\pi\)
0.567368 + 0.823465i \(0.307962\pi\)
\(104\) −0.0702864 + 0.0780609i −0.00689215 + 0.00765450i
\(105\) −2.46004 + 0.454767i −0.240075 + 0.0443807i
\(106\) 0.504278 + 0.560058i 0.0489798 + 0.0543976i
\(107\) 4.90145 0.473841 0.236921 0.971529i \(-0.423862\pi\)
0.236921 + 0.971529i \(0.423862\pi\)
\(108\) 9.82627 + 3.23836i 0.945533 + 0.311611i
\(109\) 9.96264 7.23828i 0.954248 0.693302i 0.00244045 0.999997i \(-0.499223\pi\)
0.951808 + 0.306695i \(0.0992232\pi\)
\(110\) 0.962171 + 0.791641i 0.0917394 + 0.0754800i
\(111\) −3.58724 + 12.4445i −0.340486 + 1.18118i
\(112\) −2.32897 1.03693i −0.220067 0.0979803i
\(113\) 7.95515 + 3.54186i 0.748357 + 0.333190i 0.745232 0.666805i \(-0.232339\pi\)
0.00312509 + 0.999995i \(0.499005\pi\)
\(114\) −0.289913 0.301055i −0.0271529 0.0281964i
\(115\) 12.0042 + 0.722934i 1.11940 + 0.0674139i
\(116\) 1.30907 0.951094i 0.121544 0.0883069i
\(117\) −0.517531 + 0.658607i −0.0478457 + 0.0608882i
\(118\) −0.239776 −0.0220732
\(119\) 1.02828 + 1.14202i 0.0942620 + 0.104689i
\(120\) −1.34642 + 0.556977i −0.122911 + 0.0508448i
\(121\) 16.0214 17.7936i 1.45649 1.61760i
\(122\) 0.751632 0.834772i 0.0680496 0.0755767i
\(123\) 16.4073 4.06645i 1.47940 0.366660i
\(124\) −0.0418718 + 0.0725240i −0.00376019 + 0.00651285i
\(125\) 1.49044 + 11.0805i 0.133309 + 0.991074i
\(126\) 0.171474 + 0.0629549i 0.0152761 + 0.00560846i
\(127\) −16.5737 12.0415i −1.47068 1.06851i −0.980416 0.196940i \(-0.936900\pi\)
−0.490266 0.871573i \(-0.663100\pi\)
\(128\) −2.91782 0.620202i −0.257902 0.0548187i
\(129\) 0.204960 + 1.47330i 0.0180457 + 0.129717i
\(130\) −0.00262205 0.0587922i −0.000229969 0.00515642i
\(131\) −4.83084 + 1.02683i −0.422073 + 0.0897143i −0.414051 0.910254i \(-0.635887\pi\)
−0.00802126 + 0.999968i \(0.502553\pi\)
\(132\) 6.94579 + 19.1667i 0.604553 + 1.66825i
\(133\) 1.10644 + 1.22883i 0.0959405 + 0.106553i
\(134\) 0.845195 0.614070i 0.0730138 0.0530476i
\(135\) −10.4150 + 5.15046i −0.896383 + 0.443281i
\(136\) 0.724103 + 0.526091i 0.0620913 + 0.0451120i
\(137\) −1.74119 16.5663i −0.148760 1.41536i −0.773139 0.634236i \(-0.781315\pi\)
0.624379 0.781121i \(-0.285352\pi\)
\(138\) −0.727281 0.492038i −0.0619103 0.0418850i
\(139\) 0.692041 6.58433i 0.0586981 0.558475i −0.925167 0.379561i \(-0.876075\pi\)
0.983865 0.178914i \(-0.0572584\pi\)
\(140\) 2.69284 1.00968i 0.227586 0.0853339i
\(141\) 2.56611 1.24714i 0.216106 0.105028i
\(142\) −0.401194 0.445571i −0.0336674 0.0373914i
\(143\) −1.65047 −0.138019
\(144\) −11.7204 1.68062i −0.976701 0.140051i
\(145\) −0.298241 + 1.79252i −0.0247675 + 0.148861i
\(146\) −1.15127 0.244710i −0.0952797 0.0202523i
\(147\) 10.5655 + 4.28591i 0.871425 + 0.353496i
\(148\) 1.55626 14.8068i 0.127924 1.21711i
\(149\) 8.60564 + 14.9054i 0.705001 + 1.22110i 0.966691 + 0.255946i \(0.0823869\pi\)
−0.261690 + 0.965152i \(0.584280\pi\)
\(150\) 0.318614 0.751599i 0.0260148 0.0613678i
\(151\) −0.171293 + 0.296689i −0.0139397 + 0.0241442i −0.872911 0.487879i \(-0.837771\pi\)
0.858971 + 0.512024i \(0.171104\pi\)
\(152\) 0.779144 + 0.566081i 0.0631969 + 0.0459152i
\(153\) 6.04209 + 3.79904i 0.488474 + 0.307134i
\(154\) 0.111225 + 0.342315i 0.00896276 + 0.0275845i
\(155\) −0.0236324 0.0910283i −0.00189820 0.00731157i
\(156\) 0.453241 0.849557i 0.0362884 0.0680190i
\(157\) 5.07964 + 8.79820i 0.405399 + 0.702173i 0.994368 0.105984i \(-0.0337991\pi\)
−0.588968 + 0.808156i \(0.700466\pi\)
\(158\) −0.694608 + 0.147644i −0.0552601 + 0.0117459i
\(159\) −11.4694 7.75957i −0.909585 0.615374i
\(160\) 2.11934 1.35296i 0.167549 0.106961i
\(161\) 2.81052 + 2.04196i 0.221500 + 0.160929i
\(162\) 0.845958 + 0.0639092i 0.0664648 + 0.00502118i
\(163\) −13.1349 + 9.54309i −1.02881 + 0.747473i −0.968070 0.250681i \(-0.919345\pi\)
−0.0607380 + 0.998154i \(0.519345\pi\)
\(164\) −17.7520 + 7.90371i −1.38620 + 0.617176i
\(165\) −20.6596 9.86584i −1.60835 0.768055i
\(166\) 1.10051 + 0.489978i 0.0854161 + 0.0380297i
\(167\) −17.2141 + 3.65896i −1.33206 + 0.283139i −0.818299 0.574792i \(-0.805083\pi\)
−0.513764 + 0.857931i \(0.671749\pi\)
\(168\) −0.414414 0.0736697i −0.0319727 0.00568374i
\(169\) −8.64654 9.60295i −0.665118 0.738688i
\(170\) −0.495879 + 0.0745841i −0.0380322 + 0.00572034i
\(171\) 6.50136 + 4.08781i 0.497172 + 0.312603i
\(172\) −0.528412 1.62628i −0.0402910 0.124003i
\(173\) −13.0604 + 5.81488i −0.992967 + 0.442097i −0.837910 0.545808i \(-0.816223\pi\)
−0.155057 + 0.987906i \(0.549556\pi\)
\(174\) 0.0854282 0.101521i 0.00647630 0.00769628i
\(175\) −1.35945 + 2.92966i −0.102765 + 0.221461i
\(176\) −11.6653 20.2049i −0.879304 1.52300i
\(177\) 4.27641 1.05988i 0.321435 0.0796657i
\(178\) 0.814486 + 0.173124i 0.0610483 + 0.0129762i
\(179\) −5.01429 15.4324i −0.374786 1.15347i −0.943623 0.331022i \(-0.892607\pi\)
0.568837 0.822450i \(-0.307393\pi\)
\(180\) 10.7517 7.92495i 0.801385 0.590691i
\(181\) −4.83704 + 14.8869i −0.359534 + 1.10653i 0.593799 + 0.804613i \(0.297627\pi\)
−0.953333 + 0.301920i \(0.902373\pi\)
\(182\) 0.00850021 0.0147228i 0.000630077 0.00109133i
\(183\) −9.71542 + 18.2106i −0.718185 + 1.34617i
\(184\) 1.84843 + 0.822972i 0.136268 + 0.0606703i
\(185\) 10.4207 + 13.0754i 0.766143 + 0.961325i
\(186\) −0.00190198 + 0.00659819i −0.000139460 + 0.000483803i
\(187\) 1.47003 + 13.9864i 0.107499 + 1.02278i
\(188\) −2.65347 + 1.92786i −0.193524 + 0.140603i
\(189\) −3.33652 0.364832i −0.242696 0.0265376i
\(190\) −0.533572 + 0.0802535i −0.0387094 + 0.00582220i
\(191\) 0.00915242 + 0.0870794i 0.000662246 + 0.00630085i 0.994848 0.101378i \(-0.0323250\pi\)
−0.994186 + 0.107678i \(0.965658\pi\)
\(192\) 13.4808 0.451899i 0.972895 0.0326130i
\(193\) 9.55089 + 16.5426i 0.687488 + 1.19076i 0.972648 + 0.232284i \(0.0746199\pi\)
−0.285160 + 0.958480i \(0.592047\pi\)
\(194\) −1.22172 + 0.259685i −0.0877146 + 0.0186443i
\(195\) 0.306644 + 1.03697i 0.0219592 + 0.0742589i
\(196\) −12.8206 2.72510i −0.915758 0.194650i
\(197\) −6.93182 21.3339i −0.493871 1.51998i −0.818708 0.574210i \(-0.805309\pi\)
0.324837 0.945770i \(-0.394691\pi\)
\(198\) 0.930903 + 1.38848i 0.0661564 + 0.0986747i
\(199\) 3.83647 0.271960 0.135980 0.990712i \(-0.456582\pi\)
0.135980 + 0.990712i \(0.456582\pi\)
\(200\) −0.419719 + 1.83365i −0.0296786 + 0.129659i
\(201\) −12.3597 + 14.6880i −0.871785 + 1.03601i
\(202\) −0.117771 + 1.12052i −0.00828635 + 0.0788393i
\(203\) −0.351247 + 0.390100i −0.0246527 + 0.0273796i
\(204\) −7.60296 3.08416i −0.532314 0.215935i
\(205\) 7.97901 20.3116i 0.557278 1.41862i
\(206\) 0.137354 0.422733i 0.00956992 0.0294532i
\(207\) 15.1460 + 5.56069i 1.05272 + 0.386495i
\(208\) −0.340524 + 1.04802i −0.0236111 + 0.0726674i
\(209\) 1.58177 + 15.0495i 0.109413 + 1.04100i
\(210\) 0.194407 0.133480i 0.0134154 0.00921102i
\(211\) 2.00311 19.0583i 0.137900 1.31203i −0.678524 0.734578i \(-0.737380\pi\)
0.816424 0.577453i \(-0.195953\pi\)
\(212\) 14.5426 + 6.47480i 0.998793 + 0.444691i
\(213\) 9.12485 + 6.17336i 0.625224 + 0.422992i
\(214\) −0.422082 + 0.187923i −0.0288530 + 0.0128462i
\(215\) 1.70420 + 0.885122i 0.116225 + 0.0603648i
\(216\) −1.94500 + 0.196187i −0.132341 + 0.0133488i
\(217\) 0.00839519 0.0258377i 0.000569903 0.00175398i
\(218\) −0.580403 + 1.00529i −0.0393098 + 0.0680866i
\(219\) 21.6146 0.724556i 1.46058 0.0489609i
\(220\) 25.3681 + 7.00964i 1.71032 + 0.472590i
\(221\) 0.444468 0.493632i 0.0298982 0.0332053i
\(222\) −0.168216 1.20918i −0.0112899 0.0811549i
\(223\) −22.1731 + 9.87211i −1.48482 + 0.661085i −0.979426 0.201802i \(-0.935320\pi\)
−0.505396 + 0.862888i \(0.668654\pi\)
\(224\) 0.726339 0.0485306
\(225\) −2.36019 + 14.8132i −0.157346 + 0.987543i
\(226\) −0.820844 −0.0546017
\(227\) 16.2273 7.22487i 1.07704 0.479531i 0.209969 0.977708i \(-0.432664\pi\)
0.867076 + 0.498177i \(0.165997\pi\)
\(228\) −8.18089 3.31860i −0.541793 0.219780i
\(229\) −3.83232 + 4.25622i −0.253247 + 0.281259i −0.856341 0.516411i \(-0.827268\pi\)
0.603094 + 0.797670i \(0.293934\pi\)
\(230\) −1.06145 + 0.397991i −0.0699897 + 0.0262428i
\(231\) −3.49683 5.61355i −0.230075 0.369344i
\(232\) −0.152867 + 0.264774i −0.0100362 + 0.0173833i
\(233\) −2.10216 + 6.46978i −0.137717 + 0.423850i −0.996003 0.0893227i \(-0.971530\pi\)
0.858286 + 0.513172i \(0.171530\pi\)
\(234\) 0.0193153 0.0765574i 0.00126268 0.00500471i
\(235\) 0.604530 3.63342i 0.0394352 0.237018i
\(236\) −4.62690 + 2.06003i −0.301186 + 0.134096i
\(237\) 11.7357 5.70360i 0.762316 0.370489i
\(238\) −0.132334 0.0589189i −0.00857795 0.00381915i
\(239\) 1.21016 11.5139i 0.0782787 0.744772i −0.883033 0.469310i \(-0.844503\pi\)
0.961312 0.275462i \(-0.0888308\pi\)
\(240\) −10.5271 + 11.0830i −0.679524 + 0.715407i
\(241\) 2.76063 + 26.2657i 0.177828 + 1.69192i 0.611815 + 0.791001i \(0.290440\pi\)
−0.433987 + 0.900919i \(0.642894\pi\)
\(242\) −0.697453 + 2.14654i −0.0448340 + 0.137985i
\(243\) −15.3702 + 2.59957i −0.985997 + 0.166763i
\(244\) 7.33214 22.5660i 0.469392 1.44464i
\(245\) 12.4069 7.92040i 0.792647 0.506015i
\(246\) −1.25699 + 0.979239i −0.0801424 + 0.0624340i
\(247\) 0.478253 0.531154i 0.0304305 0.0337965i
\(248\) 0.00165396 0.0157364i 0.000105027 0.000999263i
\(249\) −21.7934 3.87418i −1.38110 0.245516i
\(250\) −0.553179 0.897044i −0.0349861 0.0567340i
\(251\) −1.93964 −0.122429 −0.0612144 0.998125i \(-0.519497\pi\)
−0.0612144 + 0.998125i \(0.519497\pi\)
\(252\) 3.84977 0.258391i 0.242513 0.0162771i
\(253\) 9.82431 + 30.2361i 0.617649 + 1.90093i
\(254\) 1.88890 + 0.401499i 0.118520 + 0.0251923i
\(255\) 8.51432 3.52214i 0.533187 0.220565i
\(256\) −14.9597 + 3.17978i −0.934980 + 0.198736i
\(257\) −2.53536 4.39138i −0.158152 0.273927i 0.776051 0.630671i \(-0.217220\pi\)
−0.934202 + 0.356744i \(0.883887\pi\)
\(258\) −0.0741368 0.119013i −0.00461556 0.00740945i
\(259\) 0.504869 + 4.80350i 0.0313710 + 0.298475i
\(260\) −0.555708 1.11197i −0.0344636 0.0689615i
\(261\) −1.07486 + 2.18824i −0.0665322 + 0.135449i
\(262\) 0.376633 0.273640i 0.0232685 0.0169055i
\(263\) −0.626513 5.96087i −0.0386324 0.367563i −0.996710 0.0810533i \(-0.974172\pi\)
0.958077 0.286510i \(-0.0924951\pi\)
\(264\) −2.67192 2.77460i −0.164445 0.170765i
\(265\) −16.7393 + 6.27643i −1.02829 + 0.385558i
\(266\) −0.142393 0.0633975i −0.00873069 0.00388715i
\(267\) −15.2916 + 0.512600i −0.935832 + 0.0313706i
\(268\) 11.0338 19.1110i 0.673994 1.16739i
\(269\) 1.33291 4.10227i 0.0812689 0.250120i −0.902164 0.431394i \(-0.858022\pi\)
0.983433 + 0.181274i \(0.0580220\pi\)
\(270\) 0.699407 0.842841i 0.0425645 0.0512936i
\(271\) −8.40101 25.8556i −0.510325 1.57062i −0.791630 0.611000i \(-0.790767\pi\)
0.281305 0.959618i \(-0.409233\pi\)
\(272\) 9.18442 + 1.95221i 0.556887 + 0.118370i
\(273\) −0.0865221 + 0.300155i −0.00523655 + 0.0181662i
\(274\) 0.785099 + 1.35983i 0.0474296 + 0.0821504i
\(275\) −25.8239 + 14.3777i −1.55724 + 0.867007i
\(276\) −18.2615 3.24631i −1.09921 0.195405i
\(277\) 12.2157 5.43880i 0.733972 0.326786i −0.00548865 0.999985i \(-0.501747\pi\)
0.739461 + 0.673199i \(0.235080\pi\)
\(278\) 0.192851 + 0.593534i 0.0115664 + 0.0355978i
\(279\) 0.00475591 0.126086i 0.000284729 0.00754858i
\(280\) −0.387219 + 0.381232i −0.0231408 + 0.0227830i
\(281\) 15.3773 + 17.0782i 0.917330 + 1.01880i 0.999754 + 0.0222013i \(0.00706746\pi\)
−0.0824231 + 0.996597i \(0.526266\pi\)
\(282\) −0.173162 + 0.205782i −0.0103116 + 0.0122541i
\(283\) −11.6062 + 2.46697i −0.689917 + 0.146646i −0.539512 0.841978i \(-0.681391\pi\)
−0.150405 + 0.988624i \(0.548058\pi\)
\(284\) −11.5698 5.15122i −0.686543 0.305669i
\(285\) 9.16152 3.78987i 0.542681 0.224493i
\(286\) 0.142128 0.0632796i 0.00840422 0.00374180i
\(287\) 5.10003 3.70539i 0.301045 0.218722i
\(288\) 3.24530 0.920767i 0.191231 0.0542567i
\(289\) 9.17430 + 6.66552i 0.539665 + 0.392089i
\(290\) −0.0430432 0.165795i −0.00252758 0.00973583i
\(291\) 20.6415 10.0319i 1.21003 0.588079i
\(292\) −24.3182 + 5.16899i −1.42311 + 0.302492i
\(293\) −7.39271 12.8045i −0.431887 0.748050i 0.565149 0.824989i \(-0.308819\pi\)
−0.997036 + 0.0769390i \(0.975485\pi\)
\(294\) −1.07416 + 0.0360074i −0.0626460 + 0.00210000i
\(295\) 2.07965 5.29403i 0.121082 0.308230i
\(296\) 0.869299 + 2.67543i 0.0505270 + 0.155506i
\(297\) −22.7401 20.6486i −1.31952 1.19815i
\(298\) −1.31254 0.953617i −0.0760335 0.0552415i
\(299\) 0.750808 1.30044i 0.0434204 0.0752063i
\(300\) −0.309118 17.2408i −0.0178469 0.995397i
\(301\) 0.277369 + 0.480417i 0.0159873 + 0.0276908i
\(302\) 0.00337557 0.0321164i 0.000194242 0.00184809i
\(303\) −2.85258 20.5050i −0.163876 1.17798i
\(304\) 9.88255 + 2.10060i 0.566803 + 0.120478i
\(305\) 11.9118 + 23.8356i 0.682070 + 1.36482i
\(306\) −0.665963 0.0954939i −0.0380706 0.00545902i
\(307\) 6.64948 0.379506 0.189753 0.981832i \(-0.439231\pi\)
0.189753 + 0.981832i \(0.439231\pi\)
\(308\) 5.08727 + 5.64998i 0.289874 + 0.321938i
\(309\) −0.581107 + 8.14659i −0.0330580 + 0.463443i
\(310\) 0.00552513 + 0.00693271i 0.000313806 + 0.000393751i
\(311\) −2.55826 + 24.3402i −0.145066 + 1.38021i 0.643590 + 0.765371i \(0.277444\pi\)
−0.788655 + 0.614836i \(0.789222\pi\)
\(312\) −0.0129449 + 0.181476i −0.000732861 + 0.0102740i
\(313\) −0.776631 7.38915i −0.0438978 0.417660i −0.994299 0.106632i \(-0.965993\pi\)
0.950401 0.311028i \(-0.100673\pi\)
\(314\) −0.774752 0.562891i −0.0437218 0.0317658i
\(315\) −2.87723 + 3.23996i −0.162114 + 0.182551i
\(316\) −12.1352 + 8.81674i −0.682658 + 0.495980i
\(317\) −1.47227 1.63512i −0.0826910 0.0918377i 0.700379 0.713771i \(-0.253014\pi\)
−0.783070 + 0.621933i \(0.786348\pi\)
\(318\) 1.28518 + 0.228464i 0.0720693 + 0.0128116i
\(319\) −4.69891 + 0.998784i −0.263089 + 0.0559212i
\(320\) 9.59754 14.5298i 0.536519 0.812242i
\(321\) 6.69717 5.21734i 0.373799 0.291204i
\(322\) −0.320314 0.0680847i −0.0178504 0.00379421i
\(323\) −4.92705 3.57971i −0.274148 0.199181i
\(324\) 16.8733 6.03478i 0.937407 0.335266i
\(325\) 1.32082 + 0.452030i 0.0732658 + 0.0250741i
\(326\) 0.765214 1.32539i 0.0423813 0.0734065i
\(327\) 5.90781 20.4949i 0.326703 1.13337i
\(328\) 2.45680 2.72855i 0.135654 0.150659i
\(329\) 0.711974 0.790727i 0.0392524 0.0435942i
\(330\) 2.15734 + 0.0574884i 0.118757 + 0.00316463i
\(331\) −12.0275 13.3579i −0.661092 0.734217i 0.315593 0.948895i \(-0.397797\pi\)
−0.976685 + 0.214678i \(0.931130\pi\)
\(332\) 25.4459 1.39652
\(333\) 8.34508 + 20.8222i 0.457308 + 1.14105i
\(334\) 1.34208 0.975079i 0.0734354 0.0533539i
\(335\) 6.22745 + 23.9871i 0.340242 + 1.31056i
\(336\) −4.28598 + 1.06226i −0.233819 + 0.0579508i
\(337\) −2.38823 1.06331i −0.130095 0.0579221i 0.340657 0.940188i \(-0.389351\pi\)
−0.470752 + 0.882266i \(0.656017\pi\)
\(338\) 1.11277 + 0.495435i 0.0605265 + 0.0269481i
\(339\) 14.6398 3.62838i 0.795122 0.197066i
\(340\) −8.92806 + 5.69956i −0.484192 + 0.309102i
\(341\) 0.201139 0.146136i 0.0108923 0.00791372i
\(342\) −0.716585 0.102753i −0.0387485 0.00555623i
\(343\) 8.77367 0.473734
\(344\) 0.216193 + 0.240107i 0.0116563 + 0.0129457i
\(345\) 17.1717 11.7901i 0.924491 0.634757i
\(346\) 0.901739 1.00148i 0.0484778 0.0538400i
\(347\) 0.794313 0.882174i 0.0426410 0.0473576i −0.721447 0.692470i \(-0.756523\pi\)
0.764088 + 0.645112i \(0.223189\pi\)
\(348\) 0.776273 2.69298i 0.0416126 0.144359i
\(349\) −9.82282 + 17.0136i −0.525803 + 0.910718i 0.473745 + 0.880662i \(0.342902\pi\)
−0.999548 + 0.0300560i \(0.990431\pi\)
\(350\) 0.00474349 0.304406i 0.000253550 0.0162712i
\(351\) −0.00608252 + 1.45078i −0.000324661 + 0.0774370i
\(352\) 5.37759 + 3.90705i 0.286627 + 0.208246i
\(353\) 23.9164 + 5.08359i 1.27294 + 0.270572i 0.794347 0.607464i \(-0.207813\pi\)
0.478594 + 0.878036i \(0.341147\pi\)
\(354\) −0.327621 + 0.255229i −0.0174129 + 0.0135653i
\(355\) 13.3175 4.99340i 0.706817 0.265022i
\(356\) 17.2043 3.65689i 0.911827 0.193815i
\(357\) 2.62062 + 0.465863i 0.138698 + 0.0246561i
\(358\) 1.02348 + 1.13669i 0.0540927 + 0.0600760i
\(359\) 1.90435 1.38359i 0.100508 0.0730231i −0.536396 0.843966i \(-0.680215\pi\)
0.636904 + 0.770943i \(0.280215\pi\)
\(360\) −1.24683 + 2.19423i −0.0657135 + 0.115646i
\(361\) 10.0698 + 7.31610i 0.529987 + 0.385058i
\(362\) −0.154232 1.46742i −0.00810625 0.0771258i
\(363\) 2.95073 41.3665i 0.154873 2.17118i
\(364\) 0.0375360 0.357131i 0.00196742 0.0187188i
\(365\) 15.3883 23.2965i 0.805459 1.21939i
\(366\) 0.138431 1.94068i 0.00723590 0.101441i
\(367\) −5.67343 6.30098i −0.296151 0.328908i 0.576645 0.816995i \(-0.304362\pi\)
−0.872795 + 0.488087i \(0.837695\pi\)
\(368\) 21.2264 1.10650
\(369\) 18.0898 23.0210i 0.941718 1.19842i
\(370\) −1.39868 0.726443i −0.0727139 0.0377660i
\(371\) −5.05143 1.07372i −0.262257 0.0557445i
\(372\) 0.0199860 + 0.143664i 0.00103623 + 0.00744866i
\(373\) 0.718101 6.83227i 0.0371819 0.353762i −0.960075 0.279743i \(-0.909751\pi\)
0.997257 0.0740189i \(-0.0235825\pi\)
\(374\) −0.662830 1.14806i −0.0342741 0.0593646i
\(375\) 13.8312 + 13.5536i 0.714238 + 0.699903i
\(376\) 0.309860 0.536694i 0.0159798 0.0276779i
\(377\) 0.183565 + 0.133368i 0.00945408 + 0.00686879i
\(378\) 0.301308 0.0965063i 0.0154976 0.00496375i
\(379\) −1.82815 5.62647i −0.0939059 0.289013i 0.893061 0.449935i \(-0.148553\pi\)
−0.986967 + 0.160923i \(0.948553\pi\)
\(380\) −9.60671 + 6.13280i −0.492814 + 0.314606i
\(381\) −35.4633 + 1.18879i −1.81684 + 0.0609035i
\(382\) −0.00412680 0.00714783i −0.000211146 0.000365715i
\(383\) −17.8504 + 3.79423i −0.912115 + 0.193876i −0.639988 0.768385i \(-0.721061\pi\)
−0.272128 + 0.962261i \(0.587727\pi\)
\(384\) −4.64698 + 2.25845i −0.237140 + 0.115251i
\(385\) −8.52268 0.513264i −0.434356 0.0261584i
\(386\) −1.45671 1.05836i −0.0741447 0.0538693i
\(387\) 1.84831 + 1.79490i 0.0939547 + 0.0912399i
\(388\) −21.3442 + 15.5075i −1.08359 + 0.787272i
\(389\) 18.3000 8.14768i 0.927846 0.413104i 0.113536 0.993534i \(-0.463782\pi\)
0.814310 + 0.580430i \(0.197116\pi\)
\(390\) −0.0661639 0.0775405i −0.00335034 0.00392641i
\(391\) −11.6888 5.20421i −0.591130 0.263188i
\(392\) 2.42242 0.514901i 0.122351 0.0260064i
\(393\) −5.50768 + 6.54520i −0.277826 + 0.330162i
\(394\) 1.41487 + 1.57138i 0.0712803 + 0.0791648i
\(395\) 2.76472 16.6168i 0.139108 0.836084i
\(396\) 29.8924 + 18.7952i 1.50215 + 0.944497i
\(397\) −5.88033 18.0978i −0.295125 0.908302i −0.983179 0.182643i \(-0.941535\pi\)
0.688054 0.725659i \(-0.258465\pi\)
\(398\) −0.330372 + 0.147091i −0.0165601 + 0.00737302i
\(399\) 2.81982 + 0.501275i 0.141168 + 0.0250951i
\(400\) 3.80164 + 19.3642i 0.190082 + 0.968209i
\(401\) −14.9193 25.8410i −0.745034 1.29044i −0.950179 0.311705i \(-0.899100\pi\)
0.205145 0.978732i \(-0.434233\pi\)
\(402\) 0.501198 1.73871i 0.0249975 0.0867190i
\(403\) −0.0114864 0.00244151i −0.000572177 0.000121620i
\(404\) 7.35429 + 22.6342i 0.365889 + 1.12609i
\(405\) −8.74831 + 18.1237i −0.434707 + 0.900572i
\(406\) 0.0152907 0.0470599i 0.000758863 0.00233554i
\(407\) −22.1006 + 38.2794i −1.09549 + 1.89744i
\(408\) 1.54938 0.0519379i 0.0767060 0.00257131i
\(409\) −29.9326 13.3269i −1.48007 0.658971i −0.501554 0.865126i \(-0.667238\pi\)
−0.978519 + 0.206155i \(0.933905\pi\)
\(410\) 0.0916514 + 2.05503i 0.00452634 + 0.101491i
\(411\) −20.0131 20.7822i −0.987174 1.02511i
\(412\) −0.981404 9.33744i −0.0483503 0.460023i
\(413\) 1.32927 0.965774i 0.0654093 0.0475227i
\(414\) −1.51748 + 0.101851i −0.0745800 + 0.00500571i
\(415\) −20.3633 + 20.0485i −0.999596 + 0.984140i
\(416\) −0.0328174 0.312237i −0.00160901 0.0153087i
\(417\) −6.06310 9.73322i −0.296911 0.476638i
\(418\) −0.713214 1.23532i −0.0348844 0.0604216i
\(419\) 5.17279 1.09951i 0.252707 0.0537146i −0.0798161 0.996810i \(-0.525433\pi\)
0.332523 + 0.943095i \(0.392100\pi\)
\(420\) 2.60464 4.24598i 0.127093 0.207183i
\(421\) −10.9560 2.32876i −0.533961 0.113497i −0.0669632 0.997755i \(-0.521331\pi\)
−0.466998 + 0.884259i \(0.654664\pi\)
\(422\) 0.558207 + 1.71799i 0.0271731 + 0.0836302i
\(423\) 2.17873 4.43555i 0.105933 0.215664i
\(424\) −3.00783 −0.146073
\(425\) 2.65416 11.5954i 0.128746 0.562461i
\(426\) −1.02246 0.181762i −0.0495385 0.00880637i
\(427\) −0.804600 + 7.65526i −0.0389373 + 0.370464i
\(428\) −6.53028 + 7.25261i −0.315653 + 0.350568i
\(429\) −2.25514 + 1.75684i −0.108879 + 0.0848211i
\(430\) −0.180690 0.0108818i −0.00871367 0.000524766i
\(431\) 2.72032 8.37228i 0.131033 0.403278i −0.863919 0.503631i \(-0.831997\pi\)
0.994952 + 0.100353i \(0.0319971\pi\)
\(432\) −17.8033 + 10.1794i −0.856561 + 0.489759i
\(433\) 5.29618 16.3000i 0.254518 0.783327i −0.739406 0.673260i \(-0.764894\pi\)
0.993924 0.110067i \(-0.0351065\pi\)
\(434\) 0.000267686 0.00254686i 1.28493e−5 0.000122253i
\(435\) 1.50054 + 2.76670i 0.0719454 + 0.132653i
\(436\) −2.56300 + 24.3853i −0.122745 + 1.16784i
\(437\) −12.5773 5.59979i −0.601656 0.267874i
\(438\) −1.83353 + 0.891104i −0.0876096 + 0.0425786i
\(439\) −0.755550 + 0.336392i −0.0360604 + 0.0160551i −0.424688 0.905340i \(-0.639616\pi\)
0.388627 + 0.921395i \(0.372949\pi\)
\(440\) −4.91754 + 0.739637i −0.234435 + 0.0352608i
\(441\) 18.9984 5.39028i 0.904686 0.256680i
\(442\) −0.0193488 + 0.0595495i −0.000920329 + 0.00283248i
\(443\) −7.57757 + 13.1247i −0.360021 + 0.623575i −0.987964 0.154685i \(-0.950564\pi\)
0.627943 + 0.778259i \(0.283897\pi\)
\(444\) −13.6347 21.8880i −0.647072 1.03876i
\(445\) −10.8867 + 16.4815i −0.516079 + 0.781299i
\(446\) 1.53091 1.70025i 0.0724907 0.0805091i
\(447\) 27.6245 + 11.2059i 1.30659 + 0.530023i
\(448\) 4.59540 2.04600i 0.217112 0.0966646i
\(449\) −7.04917 −0.332671 −0.166335 0.986069i \(-0.553193\pi\)
−0.166335 + 0.986069i \(0.553193\pi\)
\(450\) −0.364696 1.36611i −0.0171919 0.0643989i
\(451\) 57.6907 2.71655
\(452\) −15.8396 + 7.05225i −0.745033 + 0.331710i
\(453\) 0.0817609 + 0.587718i 0.00384146 + 0.0276134i
\(454\) −1.12039 + 1.24432i −0.0525826 + 0.0583989i
\(455\) 0.251340 + 0.315372i 0.0117830 + 0.0147849i
\(456\) 1.66716 0.0558858i 0.0780718 0.00261709i
\(457\) −3.18909 + 5.52366i −0.149179 + 0.258386i −0.930924 0.365212i \(-0.880996\pi\)
0.781745 + 0.623598i \(0.214330\pi\)
\(458\) 0.166830 0.513451i 0.00779548 0.0239920i
\(459\) 12.2996 1.24062i 0.574094 0.0579073i
\(460\) −17.0631 + 16.7993i −0.795573 + 0.783272i
\(461\) 2.88043 1.28245i 0.134155 0.0597297i −0.338561 0.940944i \(-0.609940\pi\)
0.472716 + 0.881215i \(0.343274\pi\)
\(462\) 0.516351 + 0.349334i 0.0240228 + 0.0162525i
\(463\) 22.9695 + 10.2267i 1.06748 + 0.475274i 0.863838 0.503770i \(-0.168054\pi\)
0.203646 + 0.979045i \(0.434721\pi\)
\(464\) −0.335262 + 3.18981i −0.0155642 + 0.148083i
\(465\) −0.129185 0.0992222i −0.00599083 0.00460132i
\(466\) −0.0670286 0.637735i −0.00310504 0.0295425i
\(467\) −11.3694 + 34.9913i −0.526111 + 1.61920i 0.235997 + 0.971754i \(0.424164\pi\)
−0.762108 + 0.647449i \(0.775836\pi\)
\(468\) −0.285017 1.64326i −0.0131749 0.0759595i
\(469\) −2.21224 + 6.80858i −0.102152 + 0.314391i
\(470\) 0.0872479 + 0.336065i 0.00402445 + 0.0155015i
\(471\) 16.3059 + 6.61452i 0.751335 + 0.304781i
\(472\) 0.640341 0.711170i 0.0294741 0.0327343i
\(473\) −0.530656 + 5.04885i −0.0243996 + 0.232146i
\(474\) −0.791928 + 0.941109i −0.0363745 + 0.0432266i
\(475\) 2.85592 12.4768i 0.131038 0.572476i
\(476\) −3.05982 −0.140247
\(477\) −23.9311 + 1.60622i −1.09573 + 0.0735438i
\(478\) 0.337235 + 1.03790i 0.0154248 + 0.0474726i
\(479\) −17.1732 3.65028i −0.784665 0.166786i −0.201878 0.979411i \(-0.564704\pi\)
−0.582787 + 0.812625i \(0.698038\pi\)
\(480\) 1.45564 4.10457i 0.0664404 0.187347i
\(481\) 2.04211 0.434064i 0.0931121 0.0197916i
\(482\) −1.24476 2.15599i −0.0566973 0.0982027i
\(483\) 6.01375 0.201591i 0.273635 0.00917269i
\(484\) 4.98335 + 47.4134i 0.226516 + 2.15515i
\(485\) 4.86278 29.2268i 0.220807 1.32712i
\(486\) 1.22391 0.813156i 0.0555179 0.0368855i
\(487\) 17.7188 12.8735i 0.802916 0.583352i −0.108852 0.994058i \(-0.534718\pi\)
0.911768 + 0.410706i \(0.134718\pi\)
\(488\) 0.468623 + 4.45865i 0.0212135 + 0.201833i
\(489\) −7.78897 + 27.0208i −0.352229 + 1.22192i
\(490\) −0.764733 + 1.15774i −0.0345471 + 0.0523013i
\(491\) 23.6286 + 10.5201i 1.06634 + 0.474766i 0.863450 0.504435i \(-0.168299\pi\)
0.202893 + 0.979201i \(0.434966\pi\)
\(492\) −15.8426 + 29.6955i −0.714241 + 1.33877i
\(493\) 0.966684 1.67435i 0.0435373 0.0754088i
\(494\) −0.0208196 + 0.0640761i −0.000936717 + 0.00288292i
\(495\) −38.7302 + 8.51077i −1.74079 + 0.382531i
\(496\) −0.0512954 0.157871i −0.00230323 0.00708862i
\(497\) 4.01882 + 0.854226i 0.180269 + 0.0383173i
\(498\) 2.02525 0.501947i 0.0907537 0.0224928i
\(499\) −11.6388 20.1590i −0.521024 0.902440i −0.999701 0.0244489i \(-0.992217\pi\)
0.478677 0.877991i \(-0.341116\pi\)
\(500\) −18.3815 12.5574i −0.822045 0.561584i
\(501\) −19.6259 + 23.3229i −0.876820 + 1.04199i
\(502\) 0.167029 0.0743663i 0.00745489 0.00331913i
\(503\) −7.37389 22.6945i −0.328786 1.01190i −0.969703 0.244288i \(-0.921446\pi\)
0.640917 0.767610i \(-0.278554\pi\)
\(504\) −0.644658 + 0.340463i −0.0287153 + 0.0151654i
\(505\) −23.7185 12.3189i −1.05546 0.548183i
\(506\) −2.00527 2.22708i −0.0891451 0.0990056i
\(507\) −22.0362 3.91733i −0.978660 0.173975i
\(508\) 39.8991 8.48082i 1.77024 0.376276i
\(509\) −6.28785 2.79953i −0.278704 0.124087i 0.262625 0.964898i \(-0.415412\pi\)
−0.541329 + 0.840811i \(0.682079\pi\)
\(510\) −0.598160 + 0.629747i −0.0264870 + 0.0278856i
\(511\) 7.36807 3.28048i 0.325944 0.145120i
\(512\) 5.99293 4.35412i 0.264853 0.192427i
\(513\) 13.2345 1.33493i 0.584317 0.0589384i
\(514\) 0.386697 + 0.280951i 0.0170565 + 0.0123922i
\(515\) 8.14222 + 6.69914i 0.358789 + 0.295199i
\(516\) −2.45310 1.65963i −0.107992 0.0730611i
\(517\) 9.52463 2.02452i 0.418893 0.0890384i
\(518\) −0.227644 0.394291i −0.0100021 0.0173241i
\(519\) −11.6557 + 21.8474i −0.511627 + 0.958995i
\(520\) 0.181379 + 0.149232i 0.00795398 + 0.00654426i
\(521\) 1.59963 + 4.92314i 0.0700809 + 0.215687i 0.979963 0.199180i \(-0.0638280\pi\)
−0.909882 + 0.414867i \(0.863828\pi\)
\(522\) 0.00866222 0.229648i 0.000379135 0.0100514i
\(523\) −26.2991 19.1074i −1.14998 0.835510i −0.161503 0.986872i \(-0.551634\pi\)
−0.988478 + 0.151362i \(0.951634\pi\)
\(524\) 4.91682 8.51619i 0.214792 0.372031i
\(525\) 1.26097 + 5.45005i 0.0550330 + 0.237860i
\(526\) 0.282493 + 0.489292i 0.0123173 + 0.0213342i
\(527\) −0.0104591 + 0.0995120i −0.000455607 + 0.00433481i
\(528\) −37.4461 15.1901i −1.62963 0.661064i
\(529\) −5.79534 1.23184i −0.251971 0.0535582i
\(530\) 1.20084 1.18228i 0.0521613 0.0513548i
\(531\) 4.71494 6.00020i 0.204611 0.260387i
\(532\) −3.29240 −0.142744
\(533\) −1.82329 2.02497i −0.0789756 0.0877112i
\(534\) 1.29717 0.630427i 0.0561338 0.0272813i
\(535\) −0.488315 10.9491i −0.0211117 0.473371i
\(536\) −0.435841 + 4.14675i −0.0188255 + 0.179112i
\(537\) −23.2783 15.7488i −1.00453 0.679612i
\(538\) 0.0425006 + 0.404366i 0.00183233 + 0.0174335i
\(539\) 31.4811 + 22.8724i 1.35599 + 0.985182i
\(540\) 6.25504 22.2730i 0.269174 0.958478i
\(541\) 9.31574 6.76828i 0.400515 0.290991i −0.369236 0.929336i \(-0.620381\pi\)
0.769751 + 0.638345i \(0.220381\pi\)
\(542\) 1.71476 + 1.90443i 0.0736551 + 0.0818022i
\(543\) 9.23716 + 25.4897i 0.396404 + 1.09387i
\(544\) −2.61672 + 0.556200i −0.112191 + 0.0238469i
\(545\) −17.1618 21.5339i −0.735129 0.922411i
\(546\) −0.00405728 0.0291647i −0.000173635 0.00124813i
\(547\) 22.8102 + 4.84846i 0.975294 + 0.207305i 0.667879 0.744270i \(-0.267203\pi\)
0.307415 + 0.951575i \(0.400536\pi\)
\(548\) 26.8328 + 19.4952i 1.14624 + 0.832792i
\(549\) 6.10946 + 35.2239i 0.260745 + 1.50332i
\(550\) 1.67255 2.22821i 0.0713177 0.0950113i
\(551\) 1.04016 1.80162i 0.0443125 0.0767515i
\(552\) 3.40163 0.843075i 0.144783 0.0358836i
\(553\) 3.25610 3.61626i 0.138463 0.153779i
\(554\) −0.843417 + 0.936710i −0.0358334 + 0.0397970i
\(555\) 28.1566 + 6.77354i 1.19518 + 0.287521i
\(556\) 8.82072 + 9.79640i 0.374082 + 0.415460i
\(557\) −13.9243 −0.589990 −0.294995 0.955499i \(-0.595318\pi\)
−0.294995 + 0.955499i \(0.595318\pi\)
\(558\) 0.00442463 + 0.0110401i 0.000187310 + 0.000467364i
\(559\) 0.193988 0.140941i 0.00820483 0.00596116i
\(560\) −2.08431 + 5.30588i −0.0880781 + 0.224214i
\(561\) 16.8963 + 17.5457i 0.713364 + 0.740779i
\(562\) −1.97898 0.881097i −0.0834781 0.0371668i
\(563\) 17.3991 + 7.74658i 0.733284 + 0.326479i 0.739184 0.673503i \(-0.235211\pi\)
−0.00589976 + 0.999983i \(0.501878\pi\)
\(564\) −1.57350 + 5.45863i −0.0662561 + 0.229850i
\(565\) 7.11943 18.1235i 0.299517 0.762459i
\(566\) 0.904869 0.657426i 0.0380345 0.0276337i
\(567\) −4.94725 + 3.05306i −0.207765 + 0.128217i
\(568\) 2.39297 0.100407
\(569\) −11.8249 13.1329i −0.495726 0.550559i 0.442416 0.896810i \(-0.354121\pi\)
−0.938142 + 0.346251i \(0.887455\pi\)
\(570\) −0.643628 + 0.677615i −0.0269586 + 0.0283822i
\(571\) 20.0655 22.2850i 0.839717 0.932600i −0.158785 0.987313i \(-0.550758\pi\)
0.998502 + 0.0547129i \(0.0174244\pi\)
\(572\) 2.19895 2.44218i 0.0919427 0.102113i
\(573\) 0.105197 + 0.109240i 0.00439467 + 0.00456356i
\(574\) −0.297117 + 0.514621i −0.0124014 + 0.0214799i
\(575\) 0.418984 26.8876i 0.0174728 1.12129i
\(576\) 17.9387 14.9671i 0.747446 0.623630i
\(577\) 4.49517 + 3.26593i 0.187136 + 0.135962i 0.677409 0.735607i \(-0.263103\pi\)
−0.490273 + 0.871569i \(0.663103\pi\)
\(578\) −1.04559 0.222247i −0.0434909 0.00924427i
\(579\) 30.6588 + 12.4368i 1.27413 + 0.516856i
\(580\) −2.25502 2.82951i −0.0936345 0.117489i
\(581\) −8.07456 + 1.71630i −0.334989 + 0.0712041i
\(582\) −1.39290 + 1.65528i −0.0577374 + 0.0686138i
\(583\) −31.6236 35.1216i −1.30972 1.45459i
\(584\) 3.80036 2.76112i 0.157260 0.114256i
\(585\) 1.52279 + 1.09047i 0.0629595 + 0.0450854i
\(586\) 1.12754 + 0.819209i 0.0465784 + 0.0338412i
\(587\) 3.48300 + 33.1385i 0.143759 + 1.36777i 0.793941 + 0.607995i \(0.208026\pi\)
−0.650182 + 0.759778i \(0.725307\pi\)
\(588\) −20.4183 + 9.92339i −0.842038 + 0.409234i
\(589\) −0.0112542 + 0.107076i −0.000463719 + 0.00441200i
\(590\) 0.0238881 + 0.535623i 0.000983457 + 0.0220513i
\(591\) −32.1803 21.7714i −1.32372 0.895554i
\(592\) 19.7471 + 21.9313i 0.811600 + 0.901373i
\(593\) −26.1795 −1.07506 −0.537532 0.843243i \(-0.680643\pi\)
−0.537532 + 0.843243i \(0.680643\pi\)
\(594\) 2.74991 + 0.906264i 0.112830 + 0.0371845i
\(595\) 2.44865 2.41079i 0.100385 0.0988327i
\(596\) −33.5207 7.12505i −1.37306 0.291854i
\(597\) 5.24201 4.08372i 0.214541 0.167136i
\(598\) −0.0147957 + 0.140772i −0.000605042 + 0.00575659i
\(599\) −9.64381 16.7036i −0.394036 0.682490i 0.598942 0.800792i \(-0.295588\pi\)
−0.992978 + 0.118303i \(0.962255\pi\)
\(600\) 1.37834 + 2.95221i 0.0562705 + 0.120523i
\(601\) 3.81131 6.60138i 0.155466 0.269276i −0.777762 0.628559i \(-0.783645\pi\)
0.933229 + 0.359283i \(0.116979\pi\)
\(602\) −0.0423046 0.0307361i −0.00172421 0.00125271i
\(603\) −1.25324 + 33.2254i −0.0510360 + 1.35304i
\(604\) −0.210790 0.648744i −0.00857691 0.0263970i
\(605\) −41.3444 34.0167i −1.68089 1.38298i
\(606\) 1.03181 + 1.65640i 0.0419146 + 0.0672865i
\(607\) 3.78262 + 6.55168i 0.153532 + 0.265925i 0.932523 0.361110i \(-0.117602\pi\)
−0.778992 + 0.627034i \(0.784269\pi\)
\(608\) −2.81562 + 0.598478i −0.114188 + 0.0242715i
\(609\) −0.0646905 + 0.906902i −0.00262139 + 0.0367495i
\(610\) −1.93964 1.59587i −0.0785336 0.0646147i
\(611\) −0.372084 0.270335i −0.0150529 0.0109366i
\(612\) −13.6713 + 3.87888i −0.552631 + 0.156794i
\(613\) −0.404949 + 0.294213i −0.0163558 + 0.0118832i −0.595933 0.803034i \(-0.703218\pi\)
0.579577 + 0.814917i \(0.303218\pi\)
\(614\) −0.572611 + 0.254943i −0.0231087 + 0.0102887i
\(615\) −10.7184 36.2463i −0.432209 1.46159i
\(616\) −1.31233 0.584288i −0.0528754 0.0235417i
\(617\) 21.6181 4.59508i 0.870313 0.184991i 0.248953 0.968516i \(-0.419914\pi\)
0.621360 + 0.783525i \(0.286580\pi\)
\(618\) −0.262301 0.723813i −0.0105513 0.0291160i
\(619\) 17.0008 + 18.8813i 0.683321 + 0.758905i 0.980629 0.195877i \(-0.0627552\pi\)
−0.297307 + 0.954782i \(0.596089\pi\)
\(620\) 0.166179 + 0.0863098i 0.00667391 + 0.00346628i
\(621\) 26.6140 8.52423i 1.06798 0.342066i
\(622\) −0.712910 2.19411i −0.0285851 0.0879758i
\(623\) −5.21267 + 2.32083i −0.208841 + 0.0929821i
\(624\) 0.650289 + 1.79445i 0.0260324 + 0.0718356i
\(625\) 24.6038 4.43334i 0.984151 0.177334i
\(626\) 0.350181 + 0.606531i 0.0139960 + 0.0242419i
\(627\) 18.1807 + 18.8794i 0.726066 + 0.753970i
\(628\) −19.7863 4.20570i −0.789558 0.167826i
\(629\) −5.49717 16.9185i −0.219186 0.674586i
\(630\) 0.123548 0.389319i 0.00492228 0.0155109i
\(631\) −13.3579 + 41.1114i −0.531770 + 1.63662i 0.218757 + 0.975779i \(0.429800\pi\)
−0.750527 + 0.660840i \(0.770200\pi\)
\(632\) 1.41710 2.45448i 0.0563691 0.0976341i
\(633\) −17.5496 28.1728i −0.697536 1.11977i
\(634\) 0.189474 + 0.0843593i 0.00752497 + 0.00335033i
\(635\) −25.2477 + 38.2229i −1.00193 + 1.51683i
\(636\) 26.7626 6.63296i 1.06121 0.263014i
\(637\) −0.192117 1.82787i −0.00761196 0.0724230i
\(638\) 0.366347 0.266167i 0.0145038 0.0105376i
\(639\) 19.0391 1.27788i 0.753174 0.0505520i
\(640\) −1.09474 + 6.57976i −0.0432736 + 0.260088i
\(641\) 2.74863 + 26.1515i 0.108564 + 1.03292i 0.904190 + 0.427131i \(0.140476\pi\)
−0.795625 + 0.605789i \(0.792858\pi\)
\(642\) −0.376684 + 0.706056i −0.0148665 + 0.0278658i
\(643\) 0.605320 + 1.04844i 0.0238715 + 0.0413466i 0.877714 0.479184i \(-0.159067\pi\)
−0.853843 + 0.520531i \(0.825734\pi\)
\(644\) −6.76596 + 1.43815i −0.266616 + 0.0566710i
\(645\) 3.27072 0.604630i 0.128784 0.0238073i
\(646\) 0.561534 + 0.119358i 0.0220933 + 0.00469607i
\(647\) 0.311454 + 0.958558i 0.0122445 + 0.0376848i 0.956992 0.290114i \(-0.0936932\pi\)
−0.944748 + 0.327799i \(0.893693\pi\)
\(648\) −2.44875 + 2.33842i −0.0961960 + 0.0918617i
\(649\) 15.0365 0.590236
\(650\) −0.131072 + 0.0117145i −0.00514105 + 0.000459482i
\(651\) −0.0160321 0.0442400i −0.000628346 0.00173390i
\(652\) 3.37910 32.1500i 0.132336 1.25909i
\(653\) 23.8737 26.5145i 0.934251 1.03759i −0.0649606 0.997888i \(-0.520692\pi\)
0.999212 0.0397029i \(-0.0126412\pi\)
\(654\) 0.277035 + 1.99140i 0.0108329 + 0.0778697i
\(655\) 2.77506 + 10.6891i 0.108430 + 0.417656i
\(656\) 11.9027 36.6327i 0.464722 1.43027i
\(657\) 28.7621 23.9976i 1.12212 0.936236i
\(658\) −0.0309940 + 0.0953897i −0.00120827 + 0.00371868i
\(659\) −1.59189 15.1459i −0.0620114 0.589999i −0.980768 0.195175i \(-0.937472\pi\)
0.918757 0.394823i \(-0.129194\pi\)
\(660\) 42.1235 17.4253i 1.63965 0.678281i
\(661\) −0.227402 + 2.16359i −0.00884493 + 0.0841539i −0.998054 0.0623579i \(-0.980138\pi\)
0.989209 + 0.146512i \(0.0468046\pi\)
\(662\) 1.54788 + 0.689161i 0.0601601 + 0.0267850i
\(663\) 0.0818594 1.14759i 0.00317916 0.0445689i
\(664\) −4.39226 + 1.95556i −0.170453 + 0.0758904i
\(665\) 2.63478 2.59404i 0.102172 0.100593i
\(666\) −1.51695 1.47312i −0.0587808 0.0570823i
\(667\) 1.35060 4.15671i 0.0522954 0.160949i
\(668\) 17.5204 30.3463i 0.677886 1.17413i
\(669\) −19.7882 + 37.0910i −0.765056 + 1.43402i
\(670\) −1.45594 1.82686i −0.0562480 0.0705778i
\(671\) −47.1354 + 52.3492i −1.81964 + 2.02092i
\(672\) 0.992443 0.773151i 0.0382843 0.0298249i
\(673\) 23.6039 10.5091i 0.909864 0.405098i 0.102216 0.994762i \(-0.467407\pi\)
0.807648 + 0.589664i \(0.200740\pi\)
\(674\) 0.246427 0.00949201
\(675\) 12.5430 + 22.7525i 0.482779 + 0.875742i
\(676\) 25.7293 0.989587
\(677\) 8.41574 3.74693i 0.323443 0.144006i −0.238591 0.971120i \(-0.576686\pi\)
0.562034 + 0.827114i \(0.310019\pi\)
\(678\) −1.12157 + 0.873746i −0.0430737 + 0.0335560i
\(679\) 5.72704 6.36052i 0.219784 0.244094i
\(680\) 1.10307 1.66995i 0.0423007 0.0640396i
\(681\) 14.4819 27.1449i 0.554948 1.04020i
\(682\) −0.0117179 + 0.0202961i −0.000448703 + 0.000777177i
\(683\) 5.99517 18.4512i 0.229399 0.706016i −0.768417 0.639950i \(-0.778955\pi\)
0.997815 0.0660664i \(-0.0210449\pi\)
\(684\) −14.7105 + 4.17372i −0.562472 + 0.159586i
\(685\) −36.8332 + 5.54001i −1.40732 + 0.211673i
\(686\) −0.755534 + 0.336385i −0.0288464 + 0.0128432i
\(687\) −0.705813 + 9.89485i −0.0269284 + 0.377512i
\(688\) 3.09646 + 1.37863i 0.118051 + 0.0525599i
\(689\) −0.233333 + 2.22001i −0.00888926 + 0.0845757i
\(690\) −1.02668 + 1.67366i −0.0390851 + 0.0637150i
\(691\) −0.793047 7.54533i −0.0301689 0.287038i −0.999196 0.0400847i \(-0.987237\pi\)
0.969027 0.246953i \(-0.0794294\pi\)
\(692\) 8.79642 27.0726i 0.334390 1.02915i
\(693\) −10.7533 3.94795i −0.408483 0.149970i
\(694\) −0.0345784 + 0.106422i −0.00131258 + 0.00403971i
\(695\) −14.7773 0.889939i −0.560536 0.0337573i
\(696\) 0.0729660 + 0.524497i 0.00276577 + 0.0198810i
\(697\) −15.5360 + 17.2544i −0.588467 + 0.653559i
\(698\) 0.193572 1.84172i 0.00732682 0.0697100i
\(699\) 4.01444 + 11.0777i 0.151840 + 0.418998i
\(700\) −2.52376 5.91479i −0.0953891 0.223558i
\(701\) −9.96570 −0.376399 −0.188200 0.982131i \(-0.560265\pi\)
−0.188200 + 0.982131i \(0.560265\pi\)
\(702\) −0.0550996 0.125165i −0.00207960 0.00472406i
\(703\) −5.91502 18.2046i −0.223089 0.686598i
\(704\) 45.0286 + 9.57113i 1.69708 + 0.360725i
\(705\) −3.04158 5.60806i −0.114552 0.211212i
\(706\) −2.25444 + 0.479195i −0.0848468 + 0.0180348i
\(707\) −3.86034 6.68630i −0.145183 0.251464i
\(708\) −4.12923 + 7.73984i −0.155186 + 0.290881i
\(709\) −2.60799 24.8133i −0.0979450 0.931884i −0.927592 0.373595i \(-0.878125\pi\)
0.829647 0.558289i \(-0.188542\pi\)
\(710\) −0.955367 + 0.940596i −0.0358543 + 0.0352999i
\(711\) 9.96406 20.2853i 0.373681 0.760756i
\(712\) −2.68863 + 1.95340i −0.100761 + 0.0732069i
\(713\) 0.0236442 + 0.224960i 0.000885483 + 0.00842480i
\(714\) −0.243533 + 0.0603581i −0.00911398 + 0.00225885i
\(715\) 0.164431 + 3.68690i 0.00614936 + 0.137882i
\(716\) 29.5157 + 13.1412i 1.10305 + 0.491112i
\(717\) −10.6024 17.0203i −0.395955 0.635636i
\(718\) −0.110943 + 0.192159i −0.00414037 + 0.00717132i
\(719\) −0.0734464 + 0.226045i −0.00273909 + 0.00843004i −0.952417 0.304799i \(-0.901411\pi\)
0.949678 + 0.313229i \(0.101411\pi\)
\(720\) −2.58658 + 26.3491i −0.0963960 + 0.981971i
\(721\) 0.941224 + 2.89679i 0.0350530 + 0.107882i
\(722\) −1.14765 0.243940i −0.0427110 0.00907849i
\(723\) 31.7305 + 32.9499i 1.18007 + 1.22542i
\(724\) −15.5834 26.9913i −0.579154 1.00312i
\(725\) 4.03393 + 0.487642i 0.149816 + 0.0181106i
\(726\) 1.33191 + 3.67536i 0.0494317 + 0.136405i
\(727\) −1.81932 + 0.810013i −0.0674748 + 0.0300417i −0.440197 0.897901i \(-0.645091\pi\)
0.372722 + 0.927943i \(0.378425\pi\)
\(728\) 0.0209670 + 0.0645297i 0.000777088 + 0.00239163i
\(729\) −18.2341 + 19.9127i −0.675338 + 0.737508i
\(730\) −0.431947 + 2.59614i −0.0159871 + 0.0960874i
\(731\) −1.36713 1.51836i −0.0505653 0.0561584i
\(732\) −14.0020 38.6381i −0.517528 1.42810i
\(733\) 46.8327 9.95460i 1.72981 0.367682i 0.767796 0.640695i \(-0.221354\pi\)
0.962010 + 0.273013i \(0.0880203\pi\)
\(734\) 0.730142 + 0.325080i 0.0269500 + 0.0119989i
\(735\) 8.52147 24.0286i 0.314319 0.886310i
\(736\) −5.52474 + 2.45977i −0.203644 + 0.0906684i
\(737\) −53.0028 + 38.5088i −1.95238 + 1.41849i
\(738\) −0.675150 + 2.67599i −0.0248526 + 0.0985046i
\(739\) −18.8030 13.6612i −0.691681 0.502536i 0.185531 0.982638i \(-0.440599\pi\)
−0.877212 + 0.480103i \(0.840599\pi\)
\(740\) −33.2312 2.00129i −1.22160 0.0735689i
\(741\) 0.0880818 1.23483i 0.00323576 0.0453625i
\(742\) 0.476164 0.101212i 0.0174805 0.00371560i
\(743\) −19.5580 33.8755i −0.717515 1.24277i −0.961982 0.273114i \(-0.911946\pi\)
0.244467 0.969658i \(-0.421387\pi\)
\(744\) −0.0144907 0.0232622i −0.000531254 0.000852834i
\(745\) 32.4390 20.7087i 1.18847 0.758706i
\(746\) 0.200113 + 0.615885i 0.00732666 + 0.0225491i
\(747\) −33.9016 + 17.9044i −1.24040 + 0.655090i
\(748\) −22.6540 16.4591i −0.828311 0.601803i
\(749\) 1.58303 2.74188i 0.0578425 0.100186i
\(750\) −1.71070 0.636857i −0.0624660 0.0232547i
\(751\) 13.9704 + 24.1975i 0.509788 + 0.882979i 0.999936 + 0.0113398i \(0.00360966\pi\)
−0.490147 + 0.871640i \(0.663057\pi\)
\(752\) 0.679572 6.46570i 0.0247814 0.235780i
\(753\) −2.65025 + 2.06464i −0.0965805 + 0.0752398i
\(754\) −0.0209208 0.00444686i −0.000761892 0.000161945i
\(755\) 0.679823 + 0.353085i 0.0247413 + 0.0128501i
\(756\) 4.98514 4.45094i 0.181308 0.161879i
\(757\) 6.33909 0.230398 0.115199 0.993342i \(-0.463249\pi\)
0.115199 + 0.993342i \(0.463249\pi\)
\(758\) 0.373150 + 0.414425i 0.0135534 + 0.0150526i
\(759\) 45.6083 + 30.8560i 1.65548 + 1.12000i
\(760\) 1.18692 1.79688i 0.0430539 0.0651799i
\(761\) 2.49946 23.7808i 0.0906053 0.862052i −0.850962 0.525227i \(-0.823980\pi\)
0.941567 0.336825i \(-0.109353\pi\)
\(762\) 3.00830 1.46205i 0.108979 0.0529643i
\(763\) −0.831467 7.91088i −0.0301011 0.286393i
\(764\) −0.141044 0.102475i −0.00510280 0.00370740i
\(765\) 7.88452 13.8756i 0.285065 0.501673i
\(766\) 1.39170 1.01113i 0.0502841 0.0365335i
\(767\) −0.475224 0.527790i −0.0171593 0.0190574i
\(768\) −17.0556 + 20.2685i −0.615443 + 0.731378i
\(769\) −24.8922 + 5.29100i −0.897636 + 0.190798i −0.633551 0.773701i \(-0.718403\pi\)
−0.264085 + 0.964499i \(0.585070\pi\)