Properties

Label 300.2.w.a.67.3
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.3
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37682 - 0.323077i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.79124 + 0.889636i) q^{4} +(-2.11409 + 0.728446i) q^{5} +(-1.30932 - 0.534481i) q^{6} +(0.284106 - 0.284106i) q^{7} +(-2.17879 - 1.80357i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-1.37682 - 0.323077i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.79124 + 0.889636i) q^{4} +(-2.11409 + 0.728446i) q^{5} +(-1.30932 - 0.534481i) q^{6} +(0.284106 - 0.284106i) q^{7} +(-2.17879 - 1.80357i) q^{8} +(0.951057 + 0.309017i) q^{9} +(3.14605 - 0.319922i) q^{10} +(4.58935 - 1.49117i) q^{11} +(1.63002 + 1.15890i) q^{12} +(2.80753 + 5.51008i) q^{13} +(-0.482950 + 0.299374i) q^{14} +(-2.20201 + 0.388762i) q^{15} +(2.41710 + 3.18711i) q^{16} +(-0.127955 - 0.807879i) q^{17} +(-1.20959 - 0.732724i) q^{18} +(1.06893 + 0.776624i) q^{19} +(-4.43489 - 0.575946i) q^{20} +(0.325052 - 0.236164i) q^{21} +(-6.80045 + 0.570350i) q^{22} +(-2.81503 + 5.52481i) q^{23} +(-1.86982 - 2.12221i) q^{24} +(3.93873 - 3.08000i) q^{25} +(-2.08526 - 8.49341i) q^{26} +(0.891007 + 0.453990i) q^{27} +(0.761654 - 0.256152i) q^{28} +(4.62807 + 6.37000i) q^{29} +(3.15737 + 0.176168i) q^{30} +(1.92954 - 2.65579i) q^{31} +(-2.29821 - 5.16897i) q^{32} +(4.76612 - 0.754879i) q^{33} +(-0.0848364 + 1.15364i) q^{34} +(-0.393669 + 0.807582i) q^{35} +(1.42866 + 1.39962i) q^{36} +(4.49965 - 2.29269i) q^{37} +(-1.22081 - 1.41461i) q^{38} +(1.91099 + 5.88144i) q^{39} +(5.91996 + 2.22579i) q^{40} +(0.177400 - 0.545980i) q^{41} +(-0.523837 + 0.220138i) q^{42} +(-8.22849 - 8.22849i) q^{43} +(9.54723 + 1.41180i) q^{44} +(-2.23572 + 0.0395044i) q^{45} +(5.66072 - 6.69717i) q^{46} +(-0.342542 + 2.16273i) q^{47} +(1.88876 + 3.52599i) q^{48} +6.83857i q^{49} +(-6.41799 + 2.96807i) q^{50} -0.817949i q^{51} +(0.126992 + 12.3676i) q^{52} +(0.486296 - 3.07035i) q^{53} +(-1.08008 - 0.912925i) q^{54} +(-8.61605 + 6.49556i) q^{55} +(-1.13141 + 0.106600i) q^{56} +(0.934280 + 0.934280i) q^{57} +(-4.31400 - 10.2655i) q^{58} +(2.94306 - 9.05779i) q^{59} +(-4.29020 - 1.26263i) q^{60} +(-3.92536 - 12.0810i) q^{61} +(-3.51465 + 3.03314i) q^{62} +(0.357995 - 0.182407i) q^{63} +(1.49424 + 7.85921i) q^{64} +(-9.94915 - 9.60366i) q^{65} +(-6.80595 - 0.500496i) q^{66} +(-10.4974 + 1.66262i) q^{67} +(0.489519 - 1.56094i) q^{68} +(-3.64464 + 5.01642i) q^{69} +(0.802922 - 0.984705i) q^{70} +(0.421456 + 0.580085i) q^{71} +(-1.51482 - 2.38858i) q^{72} +(-0.125834 - 0.0641158i) q^{73} +(-6.93590 + 1.70287i) q^{74} +(4.37206 - 2.42592i) q^{75} +(1.22380 + 2.34208i) q^{76} +(0.880212 - 1.72751i) q^{77} +(-0.730927 - 8.71505i) q^{78} +(-0.419915 + 0.305086i) q^{79} +(-7.43159 - 4.97710i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-0.420640 + 0.694399i) q^{82} +(-0.432904 - 2.73325i) q^{83} +(0.792348 - 0.133849i) q^{84} +(0.859005 + 1.61472i) q^{85} +(8.67067 + 13.9875i) q^{86} +(3.57461 + 7.01556i) q^{87} +(-12.6887 - 5.02829i) q^{88} +(-11.2762 + 3.66387i) q^{89} +(3.09094 + 0.667920i) q^{90} +(2.36308 + 0.767813i) q^{91} +(-9.95747 + 7.39192i) q^{92} +(2.32124 - 2.32124i) q^{93} +(1.17035 - 2.86701i) q^{94} +(-2.82554 - 0.863192i) q^{95} +(-1.46131 - 5.46485i) q^{96} +(-9.56179 - 1.51444i) q^{97} +(2.20939 - 9.41545i) q^{98} +4.82553 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37682 0.323077i −0.973556 0.228450i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) 1.79124 + 0.889636i 0.895621 + 0.444818i
\(5\) −2.11409 + 0.728446i −0.945449 + 0.325771i
\(6\) −1.30932 0.534481i −0.534529 0.218201i
\(7\) 0.284106 0.284106i 0.107382 0.107382i −0.651374 0.758756i \(-0.725807\pi\)
0.758756 + 0.651374i \(0.225807\pi\)
\(8\) −2.17879 1.80357i −0.770318 0.637660i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 3.14605 0.319922i 0.994869 0.101168i
\(11\) 4.58935 1.49117i 1.38374 0.449605i 0.479843 0.877354i \(-0.340694\pi\)
0.903897 + 0.427750i \(0.140694\pi\)
\(12\) 1.63002 + 1.15890i 0.470546 + 0.334544i
\(13\) 2.80753 + 5.51008i 0.778668 + 1.52822i 0.847621 + 0.530602i \(0.178034\pi\)
−0.0689536 + 0.997620i \(0.521966\pi\)
\(14\) −0.482950 + 0.299374i −0.129074 + 0.0800109i
\(15\) −2.20201 + 0.388762i −0.568558 + 0.100378i
\(16\) 2.41710 + 3.18711i 0.604274 + 0.796777i
\(17\) −0.127955 0.807879i −0.0310338 0.195939i 0.967301 0.253633i \(-0.0816255\pi\)
−0.998334 + 0.0576933i \(0.981625\pi\)
\(18\) −1.20959 0.732724i −0.285104 0.172705i
\(19\) 1.06893 + 0.776624i 0.245230 + 0.178170i 0.703610 0.710586i \(-0.251570\pi\)
−0.458380 + 0.888756i \(0.651570\pi\)
\(20\) −4.43489 0.575946i −0.991672 0.128785i
\(21\) 0.325052 0.236164i 0.0709323 0.0515353i
\(22\) −6.80045 + 0.570350i −1.44986 + 0.121599i
\(23\) −2.81503 + 5.52481i −0.586974 + 1.15200i 0.386303 + 0.922372i \(0.373752\pi\)
−0.973278 + 0.229630i \(0.926248\pi\)
\(24\) −1.86982 2.12221i −0.381676 0.433194i
\(25\) 3.93873 3.08000i 0.787747 0.616000i
\(26\) −2.08526 8.49341i −0.408954 1.66570i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) 0.761654 0.256152i 0.143939 0.0484081i
\(29\) 4.62807 + 6.37000i 0.859412 + 1.18288i 0.981709 + 0.190385i \(0.0609737\pi\)
−0.122298 + 0.992493i \(0.539026\pi\)
\(30\) 3.15737 + 0.176168i 0.576454 + 0.0321638i
\(31\) 1.92954 2.65579i 0.346556 0.476994i −0.599786 0.800161i \(-0.704748\pi\)
0.946342 + 0.323167i \(0.104748\pi\)
\(32\) −2.29821 5.16897i −0.406270 0.913753i
\(33\) 4.76612 0.754879i 0.829674 0.131408i
\(34\) −0.0848364 + 1.15364i −0.0145493 + 0.197848i
\(35\) −0.393669 + 0.807582i −0.0665423 + 0.136506i
\(36\) 1.42866 + 1.39962i 0.238110 + 0.233270i
\(37\) 4.49965 2.29269i 0.739738 0.376915i −0.0431579 0.999068i \(-0.513742\pi\)
0.782896 + 0.622153i \(0.213742\pi\)
\(38\) −1.22081 1.41461i −0.198042 0.229481i
\(39\) 1.91099 + 5.88144i 0.306004 + 0.941784i
\(40\) 5.91996 + 2.22579i 0.936027 + 0.351928i
\(41\) 0.177400 0.545980i 0.0277051 0.0852677i −0.936248 0.351340i \(-0.885726\pi\)
0.963953 + 0.266073i \(0.0857261\pi\)
\(42\) −0.523837 + 0.220138i −0.0808297 + 0.0339680i
\(43\) −8.22849 8.22849i −1.25483 1.25483i −0.953528 0.301304i \(-0.902578\pi\)
−0.301304 0.953528i \(-0.597422\pi\)
\(44\) 9.54723 + 1.41180i 1.43930 + 0.212838i
\(45\) −2.23572 + 0.0395044i −0.333281 + 0.00588896i
\(46\) 5.66072 6.69717i 0.834627 0.987444i
\(47\) −0.342542 + 2.16273i −0.0499649 + 0.315466i 0.950030 + 0.312160i \(0.101052\pi\)
−0.999995 + 0.00330631i \(0.998948\pi\)
\(48\) 1.88876 + 3.52599i 0.272619 + 0.508932i
\(49\) 6.83857i 0.976938i
\(50\) −6.41799 + 2.96807i −0.907640 + 0.419749i
\(51\) 0.817949i 0.114536i
\(52\) 0.126992 + 12.3676i 0.0176106 + 1.71507i
\(53\) 0.486296 3.07035i 0.0667978 0.421745i −0.931516 0.363700i \(-0.881513\pi\)
0.998314 0.0580449i \(-0.0184867\pi\)
\(54\) −1.08008 0.912925i −0.146980 0.124233i
\(55\) −8.61605 + 6.49556i −1.16179 + 0.875861i
\(56\) −1.13141 + 0.106600i −0.151192 + 0.0142451i
\(57\) 0.934280 + 0.934280i 0.123748 + 0.123748i
\(58\) −4.31400 10.2655i −0.566456 1.34793i
\(59\) 2.94306 9.05779i 0.383153 1.17922i −0.554658 0.832078i \(-0.687151\pi\)
0.937811 0.347146i \(-0.112849\pi\)
\(60\) −4.29020 1.26263i −0.553862 0.163004i
\(61\) −3.92536 12.0810i −0.502590 1.54681i −0.804784 0.593567i \(-0.797719\pi\)
0.302194 0.953246i \(-0.402281\pi\)
\(62\) −3.51465 + 3.03314i −0.446361 + 0.385209i
\(63\) 0.357995 0.182407i 0.0451031 0.0229812i
\(64\) 1.49424 + 7.85921i 0.186780 + 0.982402i
\(65\) −9.94915 9.60366i −1.23404 1.19119i
\(66\) −6.80595 0.500496i −0.837754 0.0616068i
\(67\) −10.4974 + 1.66262i −1.28246 + 0.203122i −0.760213 0.649674i \(-0.774906\pi\)
−0.522246 + 0.852795i \(0.674906\pi\)
\(68\) 0.489519 1.56094i 0.0593629 0.189292i
\(69\) −3.64464 + 5.01642i −0.438763 + 0.603906i
\(70\) 0.802922 0.984705i 0.0959675 0.117695i
\(71\) 0.421456 + 0.580085i 0.0500176 + 0.0688434i 0.833293 0.552831i \(-0.186453\pi\)
−0.783276 + 0.621675i \(0.786453\pi\)
\(72\) −1.51482 2.38858i −0.178523 0.281497i
\(73\) −0.125834 0.0641158i −0.0147278 0.00750419i 0.446611 0.894728i \(-0.352631\pi\)
−0.461339 + 0.887224i \(0.652631\pi\)
\(74\) −6.93590 + 1.70287i −0.806282 + 0.197955i
\(75\) 4.37206 2.42592i 0.504842 0.280122i
\(76\) 1.22380 + 2.34208i 0.140380 + 0.268655i
\(77\) 0.880212 1.72751i 0.100309 0.196868i
\(78\) −0.730927 8.71505i −0.0827612 0.986785i
\(79\) −0.419915 + 0.305086i −0.0472441 + 0.0343249i −0.611157 0.791510i \(-0.709295\pi\)
0.563913 + 0.825834i \(0.309295\pi\)
\(80\) −7.43159 4.97710i −0.830877 0.556457i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) −0.420640 + 0.694399i −0.0464519 + 0.0766836i
\(83\) −0.432904 2.73325i −0.0475174 0.300013i 0.952472 0.304626i \(-0.0985315\pi\)
−0.999989 + 0.00461334i \(0.998532\pi\)
\(84\) 0.792348 0.133849i 0.0864522 0.0146041i
\(85\) 0.859005 + 1.61472i 0.0931722 + 0.175141i
\(86\) 8.67067 + 13.9875i 0.934982 + 1.50832i
\(87\) 3.57461 + 7.01556i 0.383238 + 0.752147i
\(88\) −12.6887 5.02829i −1.35262 0.536017i
\(89\) −11.2762 + 3.66387i −1.19528 + 0.388369i −0.838021 0.545638i \(-0.816287\pi\)
−0.357255 + 0.934007i \(0.616287\pi\)
\(90\) 3.09094 + 0.667920i 0.325813 + 0.0704050i
\(91\) 2.36308 + 0.767813i 0.247719 + 0.0804886i
\(92\) −9.95747 + 7.39192i −1.03814 + 0.770660i
\(93\) 2.32124 2.32124i 0.240702 0.240702i
\(94\) 1.17035 2.86701i 0.120712 0.295709i
\(95\) −2.82554 0.863192i −0.289894 0.0885616i
\(96\) −1.46131 5.46485i −0.149145 0.557754i
\(97\) −9.56179 1.51444i −0.970853 0.153768i −0.349189 0.937052i \(-0.613543\pi\)
−0.621664 + 0.783284i \(0.713543\pi\)
\(98\) 2.20939 9.41545i 0.223182 0.951104i
\(99\) 4.82553 0.484984
\(100\) 9.79530 2.01298i 0.979530 0.201298i
\(101\) −4.59750 −0.457468 −0.228734 0.973489i \(-0.573459\pi\)
−0.228734 + 0.973489i \(0.573459\pi\)
\(102\) −0.264261 + 1.12617i −0.0261657 + 0.111507i
\(103\) −13.0285 2.06351i −1.28374 0.203324i −0.522970 0.852351i \(-0.675176\pi\)
−0.760765 + 0.649027i \(0.775176\pi\)
\(104\) 3.82084 17.0689i 0.374664 1.67374i
\(105\) −0.515156 + 0.736055i −0.0502741 + 0.0718317i
\(106\) −1.66150 + 4.07019i −0.161379 + 0.395332i
\(107\) 7.01682 7.01682i 0.678342 0.678342i −0.281283 0.959625i \(-0.590760\pi\)
0.959625 + 0.281283i \(0.0907600\pi\)
\(108\) 1.19212 + 1.60588i 0.114712 + 0.154526i
\(109\) −0.702678 0.228314i −0.0673043 0.0218685i 0.275171 0.961395i \(-0.411265\pi\)
−0.342476 + 0.939527i \(0.611265\pi\)
\(110\) 13.9613 6.15953i 1.33116 0.587288i
\(111\) 4.80291 1.56056i 0.455872 0.148122i
\(112\) 1.59219 + 0.218765i 0.150448 + 0.0206714i
\(113\) 7.19231 + 14.1157i 0.676595 + 1.32789i 0.932493 + 0.361189i \(0.117629\pi\)
−0.255897 + 0.966704i \(0.582371\pi\)
\(114\) −0.984486 1.58818i −0.0922056 0.148746i
\(115\) 1.92670 13.7305i 0.179665 1.28038i
\(116\) 2.62302 + 15.5275i 0.243541 + 1.44169i
\(117\) 0.967408 + 6.10797i 0.0894369 + 0.564682i
\(118\) −6.97841 + 11.5201i −0.642415 + 1.06051i
\(119\) −0.265876 0.193170i −0.0243728 0.0177079i
\(120\) 5.49888 + 3.12447i 0.501977 + 0.285224i
\(121\) 9.93934 7.22136i 0.903577 0.656487i
\(122\) 1.50139 + 17.9015i 0.135930 + 1.62073i
\(123\) 0.260625 0.511506i 0.0234998 0.0461210i
\(124\) 5.81896 3.04057i 0.522558 0.273051i
\(125\) −6.08321 + 9.38054i −0.544099 + 0.839021i
\(126\) −0.551824 + 0.135481i −0.0491604 + 0.0120696i
\(127\) 13.4465 + 6.85135i 1.19319 + 0.607959i 0.933793 0.357813i \(-0.116478\pi\)
0.259393 + 0.965772i \(0.416478\pi\)
\(128\) 0.481847 11.3034i 0.0425897 0.999093i
\(129\) −6.83996 9.41440i −0.602225 0.828892i
\(130\) 10.5954 + 16.4368i 0.929280 + 1.44160i
\(131\) −1.88122 + 2.58928i −0.164363 + 0.226227i −0.883252 0.468898i \(-0.844651\pi\)
0.718889 + 0.695125i \(0.244651\pi\)
\(132\) 9.20883 + 2.88794i 0.801526 + 0.251363i
\(133\) 0.524333 0.0830463i 0.0454655 0.00720102i
\(134\) 14.9901 + 1.10234i 1.29495 + 0.0952280i
\(135\) −2.21437 0.310725i −0.190583 0.0267430i
\(136\) −1.17828 + 1.99097i −0.101037 + 0.170725i
\(137\) 19.7515 10.0639i 1.68748 0.859817i 0.697844 0.716249i \(-0.254143\pi\)
0.989641 0.143567i \(-0.0458573\pi\)
\(138\) 6.63869 5.72918i 0.565123 0.487701i
\(139\) 1.45251 + 4.47036i 0.123200 + 0.379171i 0.993569 0.113230i \(-0.0361196\pi\)
−0.870369 + 0.492400i \(0.836120\pi\)
\(140\) −1.42361 + 1.09635i −0.120317 + 0.0926586i
\(141\) −0.676650 + 2.08251i −0.0569842 + 0.175379i
\(142\) −0.392855 0.934833i −0.0329677 0.0784494i
\(143\) 21.1012 + 21.1012i 1.76457 + 1.76457i
\(144\) 1.31392 + 3.77804i 0.109494 + 0.314837i
\(145\) −14.4244 10.0954i −1.19788 0.838380i
\(146\) 0.152536 + 0.128930i 0.0126240 + 0.0106703i
\(147\) −1.06979 + 6.75437i −0.0882346 + 0.557091i
\(148\) 10.0996 0.103704i 0.830183 0.00852444i
\(149\) 10.9299i 0.895413i −0.894181 0.447706i \(-0.852241\pi\)
0.894181 0.447706i \(-0.147759\pi\)
\(150\) −6.80328 + 1.92754i −0.555485 + 0.157383i
\(151\) 9.43963i 0.768186i −0.923294 0.384093i \(-0.874514\pi\)
0.923294 0.384093i \(-0.125486\pi\)
\(152\) −0.928275 3.61999i −0.0752930 0.293620i
\(153\) 0.127955 0.807879i 0.0103446 0.0653131i
\(154\) −1.77001 + 2.09409i −0.142631 + 0.168747i
\(155\) −2.14462 + 7.02014i −0.172260 + 0.563871i
\(156\) −1.80928 + 12.2352i −0.144859 + 0.979597i
\(157\) −5.43968 5.43968i −0.434134 0.434134i 0.455898 0.890032i \(-0.349318\pi\)
−0.890032 + 0.455898i \(0.849318\pi\)
\(158\) 0.676712 0.284382i 0.0538363 0.0226242i
\(159\) 0.960617 2.95648i 0.0761819 0.234464i
\(160\) 8.62393 + 9.25353i 0.681782 + 0.731556i
\(161\) 0.769865 + 2.36940i 0.0606738 + 0.186735i
\(162\) −0.923967 1.07065i −0.0725937 0.0841180i
\(163\) 12.1817 6.20689i 0.954145 0.486161i 0.0936420 0.995606i \(-0.470149\pi\)
0.860503 + 0.509445i \(0.170149\pi\)
\(164\) 0.803489 0.820160i 0.0627419 0.0640438i
\(165\) −9.52610 + 5.06774i −0.741606 + 0.394523i
\(166\) −0.287022 + 3.90304i −0.0222772 + 0.302935i
\(167\) −0.231321 + 0.0366377i −0.0179002 + 0.00283511i −0.165378 0.986230i \(-0.552884\pi\)
0.147478 + 0.989065i \(0.452884\pi\)
\(168\) −1.13416 0.0717041i −0.0875024 0.00553209i
\(169\) −14.8376 + 20.4222i −1.14135 + 1.57094i
\(170\) −0.661013 2.50069i −0.0506974 0.191794i
\(171\) 0.776624 + 1.06893i 0.0593899 + 0.0817432i
\(172\) −7.41885 22.0596i −0.565682 1.68203i
\(173\) −6.63252 3.37944i −0.504261 0.256934i 0.183304 0.983056i \(-0.441321\pi\)
−0.687566 + 0.726122i \(0.741321\pi\)
\(174\) −2.65500 10.8140i −0.201275 0.819808i
\(175\) 0.243972 1.99407i 0.0184426 0.150737i
\(176\) 15.8454 + 11.0224i 1.19439 + 0.830848i
\(177\) 4.32377 8.48588i 0.324995 0.637838i
\(178\) 16.7090 1.40137i 1.25239 0.105037i
\(179\) 0.827876 0.601487i 0.0618784 0.0449573i −0.556416 0.830904i \(-0.687824\pi\)
0.618294 + 0.785947i \(0.287824\pi\)
\(180\) −4.03986 1.91821i −0.301113 0.142975i
\(181\) −5.61627 4.08046i −0.417454 0.303298i 0.359159 0.933277i \(-0.383064\pi\)
−0.776613 + 0.629978i \(0.783064\pi\)
\(182\) −3.00547 1.82060i −0.222780 0.134952i
\(183\) −1.98714 12.5463i −0.146894 0.927451i
\(184\) 16.0978 6.96027i 1.18674 0.513118i
\(185\) −7.84255 + 8.12469i −0.576596 + 0.597339i
\(186\) −3.94587 + 2.44598i −0.289325 + 0.179348i
\(187\) −1.79192 3.51683i −0.131038 0.257176i
\(188\) −2.53762 + 3.56923i −0.185075 + 0.260313i
\(189\) 0.382122 0.124159i 0.0277953 0.00903124i
\(190\) 3.61137 + 2.10132i 0.261996 + 0.152446i
\(191\) −19.3222 6.27817i −1.39811 0.454273i −0.489529 0.871987i \(-0.662831\pi\)
−0.908579 + 0.417714i \(0.862831\pi\)
\(192\) 0.246388 + 7.99620i 0.0177815 + 0.577076i
\(193\) 7.74370 7.74370i 0.557404 0.557404i −0.371164 0.928568i \(-0.621041\pi\)
0.928568 + 0.371164i \(0.121041\pi\)
\(194\) 12.6755 + 5.17430i 0.910051 + 0.371493i
\(195\) −8.32432 11.0418i −0.596117 0.790721i
\(196\) −6.08384 + 12.2495i −0.434560 + 0.874966i
\(197\) 13.3485 + 2.11420i 0.951042 + 0.150630i 0.612632 0.790369i \(-0.290111\pi\)
0.338410 + 0.940999i \(0.390111\pi\)
\(198\) −6.64386 1.55902i −0.472159 0.110795i
\(199\) −24.4496 −1.73319 −0.866594 0.499014i \(-0.833696\pi\)
−0.866594 + 0.499014i \(0.833696\pi\)
\(200\) −14.1367 0.393136i −0.999614 0.0277989i
\(201\) −10.6282 −0.749658
\(202\) 6.32991 + 1.48535i 0.445371 + 0.104509i
\(203\) 3.12462 + 0.494891i 0.219305 + 0.0347346i
\(204\) 0.727677 1.46514i 0.0509476 0.102581i
\(205\) 0.0226785 + 1.28347i 0.00158394 + 0.0896418i
\(206\) 17.2712 + 7.05028i 1.20334 + 0.491217i
\(207\) −4.38451 + 4.38451i −0.304745 + 0.304745i
\(208\) −10.7752 + 22.2663i −0.747123 + 1.54389i
\(209\) 6.06377 + 1.97024i 0.419440 + 0.136284i
\(210\) 0.947078 0.846977i 0.0653546 0.0584470i
\(211\) 5.48960 1.78368i 0.377920 0.122794i −0.113896 0.993493i \(-0.536333\pi\)
0.491816 + 0.870699i \(0.336333\pi\)
\(212\) 3.60257 5.06711i 0.247425 0.348011i
\(213\) 0.325522 + 0.638873i 0.0223044 + 0.0437749i
\(214\) −11.9278 + 7.39389i −0.815371 + 0.505436i
\(215\) 23.3897 + 11.4017i 1.59517 + 0.777592i
\(216\) −1.12251 2.59615i −0.0763770 0.176645i
\(217\) −0.206331 1.30272i −0.0140066 0.0884345i
\(218\) 0.893694 + 0.541365i 0.0605286 + 0.0366659i
\(219\) −0.114255 0.0830113i −0.00772065 0.00560938i
\(220\) −21.2121 + 3.96996i −1.43012 + 0.267655i
\(221\) 4.09224 2.97319i 0.275274 0.199998i
\(222\) −7.11690 + 0.596891i −0.477655 + 0.0400607i
\(223\) 3.54587 6.95917i 0.237449 0.466020i −0.741275 0.671202i \(-0.765778\pi\)
0.978724 + 0.205181i \(0.0657784\pi\)
\(224\) −2.12147 0.815600i −0.141747 0.0544945i
\(225\) 4.69773 1.71212i 0.313182 0.114141i
\(226\) −5.34202 21.7584i −0.355346 1.44735i
\(227\) −2.73302 1.39254i −0.181397 0.0924263i 0.360934 0.932591i \(-0.382458\pi\)
−0.542331 + 0.840165i \(0.682458\pi\)
\(228\) 0.842352 + 2.50469i 0.0557861 + 0.165877i
\(229\) 12.7046 + 17.4864i 0.839546 + 1.15554i 0.986070 + 0.166329i \(0.0531914\pi\)
−0.146524 + 0.989207i \(0.546809\pi\)
\(230\) −7.08873 + 18.2819i −0.467417 + 1.20547i
\(231\) 1.13962 1.56855i 0.0749813 0.103203i
\(232\) 1.40517 22.2259i 0.0922541 1.45921i
\(233\) 0.726441 0.115057i 0.0475907 0.00753763i −0.132594 0.991170i \(-0.542331\pi\)
0.180184 + 0.983633i \(0.442331\pi\)
\(234\) 0.641406 8.72210i 0.0419300 0.570181i
\(235\) −0.851265 4.82172i −0.0555304 0.314534i
\(236\) 13.3299 13.6065i 0.867700 0.885705i
\(237\) −0.462471 + 0.235641i −0.0300407 + 0.0153065i
\(238\) 0.303654 + 0.351859i 0.0196829 + 0.0228076i
\(239\) −4.80043 14.7742i −0.310514 0.955663i −0.977562 0.210648i \(-0.932442\pi\)
0.667048 0.745015i \(-0.267558\pi\)
\(240\) −6.56150 6.07838i −0.423543 0.392358i
\(241\) 2.16274 6.65624i 0.139314 0.428766i −0.856922 0.515447i \(-0.827626\pi\)
0.996236 + 0.0866808i \(0.0276260\pi\)
\(242\) −16.0177 + 6.73130i −1.02966 + 0.432704i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) 3.71643 25.1321i 0.237920 1.60892i
\(245\) −4.98153 14.4573i −0.318258 0.923645i
\(246\) −0.524089 + 0.620048i −0.0334147 + 0.0395328i
\(247\) −1.27821 + 8.07029i −0.0813304 + 0.513500i
\(248\) −8.99398 + 2.30633i −0.571118 + 0.146452i
\(249\) 2.76732i 0.175372i
\(250\) 11.4061 10.9499i 0.721385 0.692534i
\(251\) 17.4901i 1.10397i 0.833855 + 0.551983i \(0.186129\pi\)
−0.833855 + 0.551983i \(0.813871\pi\)
\(252\) 0.803531 0.00825077i 0.0506177 0.000519750i
\(253\) −4.68073 + 29.5530i −0.294275 + 1.85798i
\(254\) −16.2999 13.7773i −1.02274 0.864465i
\(255\) 0.595832 + 1.72922i 0.0373124 + 0.108288i
\(256\) −4.31530 + 15.4071i −0.269706 + 0.962943i
\(257\) 9.02424 + 9.02424i 0.562917 + 0.562917i 0.930135 0.367218i \(-0.119690\pi\)
−0.367218 + 0.930135i \(0.619690\pi\)
\(258\) 6.37578 + 15.1717i 0.396939 + 0.944550i
\(259\) 0.627012 1.92974i 0.0389606 0.119908i
\(260\) −9.27758 26.0536i −0.575371 1.61578i
\(261\) 2.43312 + 7.48838i 0.150606 + 0.463519i
\(262\) 3.42664 2.95718i 0.211698 0.182695i
\(263\) −26.8972 + 13.7048i −1.65855 + 0.845075i −0.663235 + 0.748411i \(0.730817\pi\)
−0.995317 + 0.0966635i \(0.969183\pi\)
\(264\) −11.7458 6.95133i −0.722906 0.427825i
\(265\) 1.20851 + 6.84523i 0.0742383 + 0.420499i
\(266\) −0.748741 0.0550609i −0.0459082 0.00337600i
\(267\) −11.7105 + 1.85477i −0.716674 + 0.113510i
\(268\) −20.2825 6.36069i −1.23895 0.388541i
\(269\) 0.623455 0.858112i 0.0380127 0.0523200i −0.789588 0.613638i \(-0.789705\pi\)
0.827600 + 0.561318i \(0.189705\pi\)
\(270\) 2.94840 + 1.14323i 0.179434 + 0.0695745i
\(271\) 13.7753 + 18.9600i 0.836788 + 1.15174i 0.986621 + 0.163029i \(0.0521263\pi\)
−0.149833 + 0.988711i \(0.547874\pi\)
\(272\) 2.26552 2.36053i 0.137367 0.143128i
\(273\) 2.21388 + 1.12803i 0.133990 + 0.0682713i
\(274\) −30.4456 + 7.47486i −1.83929 + 0.451573i
\(275\) 13.4834 20.0085i 0.813081 1.20656i
\(276\) −10.9912 + 5.74322i −0.661594 + 0.345701i
\(277\) 3.74246 7.34500i 0.224863 0.441318i −0.750820 0.660507i \(-0.770341\pi\)
0.975682 + 0.219189i \(0.0703412\pi\)
\(278\) −0.555563 6.62413i −0.0333204 0.397289i
\(279\) 2.65579 1.92954i 0.158998 0.115519i
\(280\) 2.31426 1.04954i 0.138303 0.0627218i
\(281\) −7.86491 5.71419i −0.469181 0.340880i 0.327941 0.944698i \(-0.393645\pi\)
−0.797122 + 0.603818i \(0.793645\pi\)
\(282\) 1.60444 2.64863i 0.0955428 0.157723i
\(283\) 1.41178 + 8.91364i 0.0839217 + 0.529861i 0.993454 + 0.114229i \(0.0364396\pi\)
−0.909533 + 0.415632i \(0.863560\pi\)
\(284\) 0.238866 + 1.41401i 0.0141741 + 0.0839063i
\(285\) −2.65572 1.29458i −0.157311 0.0766841i
\(286\) −22.2351 35.8698i −1.31479 2.12102i
\(287\) −0.104716 0.205516i −0.00618118 0.0121313i
\(288\) −0.588430 5.62617i −0.0346736 0.331525i
\(289\) 15.5317 5.04654i 0.913627 0.296856i
\(290\) 16.5981 + 18.5597i 0.974672 + 1.08986i
\(291\) −9.20716 2.99159i −0.539733 0.175370i
\(292\) −0.168360 0.226794i −0.00985252 0.0132721i
\(293\) 21.0181 21.0181i 1.22789 1.22789i 0.263129 0.964761i \(-0.415246\pi\)
0.964761 0.263129i \(-0.0847545\pi\)
\(294\) 3.65509 8.95390i 0.213169 0.522202i
\(295\) 0.376237 + 21.2928i 0.0219054 + 1.23972i
\(296\) −13.9388 3.12018i −0.810177 0.181357i
\(297\) 4.76612 + 0.754879i 0.276558 + 0.0438025i
\(298\) −3.53121 + 15.0485i −0.204557 + 0.871734i
\(299\) −38.3454 −2.21757
\(300\) 9.98960 0.455876i 0.576750 0.0263200i
\(301\) −4.67553 −0.269493
\(302\) −3.04973 + 12.9966i −0.175492 + 0.747872i
\(303\) −4.54090 0.719208i −0.260868 0.0413174i
\(304\) 0.108525 + 5.28397i 0.00622431 + 0.303056i
\(305\) 17.0989 + 22.6809i 0.979080 + 1.29870i
\(306\) −0.437178 + 1.07096i −0.0249918 + 0.0612227i
\(307\) 15.0448 15.0448i 0.858654 0.858654i −0.132525 0.991180i \(-0.542309\pi\)
0.991180 + 0.132525i \(0.0423086\pi\)
\(308\) 3.11353 2.31133i 0.177410 0.131700i
\(309\) −12.5453 4.07621i −0.713676 0.231887i
\(310\) 5.22080 8.97255i 0.296522 0.509607i
\(311\) −31.8888 + 10.3613i −1.80825 + 0.587535i −0.999999 0.00131006i \(-0.999583\pi\)
−0.808246 + 0.588845i \(0.799583\pi\)
\(312\) 6.44396 16.2610i 0.364817 0.920599i
\(313\) 2.87865 + 5.64966i 0.162711 + 0.319338i 0.957939 0.286973i \(-0.0926489\pi\)
−0.795228 + 0.606310i \(0.792649\pi\)
\(314\) 5.73200 + 9.24688i 0.323475 + 0.521831i
\(315\) −0.623958 + 0.646405i −0.0351561 + 0.0364208i
\(316\) −1.02358 + 0.172911i −0.0575811 + 0.00972703i
\(317\) −1.92319 12.1425i −0.108017 0.681993i −0.980966 0.194181i \(-0.937795\pi\)
0.872949 0.487812i \(-0.162205\pi\)
\(318\) −2.27776 + 3.76017i −0.127731 + 0.210860i
\(319\) 30.7386 + 22.3329i 1.72103 + 1.25040i
\(320\) −8.88396 15.5266i −0.496628 0.867963i
\(321\) 8.02810 5.83276i 0.448085 0.325553i
\(322\) −0.294462 3.51095i −0.0164097 0.195658i
\(323\) 0.490642 0.962940i 0.0273001 0.0535794i
\(324\) 0.926230 + 1.77260i 0.0514572 + 0.0984776i
\(325\) 28.0291 + 13.0556i 1.55478 + 0.724192i
\(326\) −18.7773 + 4.61011i −1.03998 + 0.255330i
\(327\) −0.658310 0.335426i −0.0364046 0.0185491i
\(328\) −1.37123 + 0.869621i −0.0757136 + 0.0480168i
\(329\) 0.517126 + 0.711762i 0.0285101 + 0.0392407i
\(330\) 14.7530 3.89967i 0.812123 0.214670i
\(331\) 7.87256 10.8357i 0.432715 0.595581i −0.535859 0.844308i \(-0.680012\pi\)
0.968574 + 0.248726i \(0.0800120\pi\)
\(332\) 1.65616 5.28103i 0.0908936 0.289834i
\(333\) 4.98790 0.790006i 0.273335 0.0432920i
\(334\) 0.330324 + 0.0242914i 0.0180745 + 0.00132916i
\(335\) 20.9813 11.1617i 1.14633 0.609829i
\(336\) 1.53836 + 0.465145i 0.0839246 + 0.0253757i
\(337\) 7.29881 3.71893i 0.397591 0.202583i −0.243751 0.969838i \(-0.578378\pi\)
0.641342 + 0.767255i \(0.278378\pi\)
\(338\) 27.0266 23.3239i 1.47005 1.26865i
\(339\) 4.89558 + 15.0670i 0.265891 + 0.818329i
\(340\) 0.102175 + 3.65655i 0.00554119 + 0.198304i
\(341\) 4.89511 15.0656i 0.265085 0.815849i
\(342\) −0.723920 1.72263i −0.0391451 0.0931492i
\(343\) 3.93162 + 3.93162i 0.212288 + 0.212288i
\(344\) 3.08744 + 32.7688i 0.166464 + 1.76678i
\(345\) 4.05090 13.2601i 0.218093 0.713899i
\(346\) 8.03994 + 6.79568i 0.432230 + 0.365338i
\(347\) 3.47639 21.9491i 0.186623 1.17829i −0.699429 0.714702i \(-0.746562\pi\)
0.886052 0.463586i \(-0.153438\pi\)
\(348\) 0.161689 + 15.7467i 0.00866744 + 0.844110i
\(349\) 20.7428i 1.11034i −0.831738 0.555169i \(-0.812654\pi\)
0.831738 0.555169i \(-0.187346\pi\)
\(350\) −0.980142 + 2.66664i −0.0523908 + 0.142538i
\(351\) 6.18411i 0.330083i
\(352\) −18.2551 20.2952i −0.973000 1.08174i
\(353\) −4.72025 + 29.8025i −0.251234 + 1.58623i 0.463026 + 0.886345i \(0.346764\pi\)
−0.714259 + 0.699881i \(0.753236\pi\)
\(354\) −8.69464 + 10.2866i −0.462115 + 0.546726i
\(355\) −1.31356 0.919342i −0.0697163 0.0487936i
\(356\) −23.4579 3.46886i −1.24327 0.183849i
\(357\) −0.232384 0.232384i −0.0122991 0.0122991i
\(358\) −1.33416 + 0.560669i −0.0705125 + 0.0296323i
\(359\) 3.81855 11.7523i 0.201535 0.620262i −0.798303 0.602257i \(-0.794268\pi\)
0.999838 0.0180054i \(-0.00573162\pi\)
\(360\) 4.94241 + 3.94621i 0.260488 + 0.207984i
\(361\) −5.33185 16.4098i −0.280624 0.863672i
\(362\) 6.41426 + 7.43253i 0.337126 + 0.390645i
\(363\) 10.9466 5.57759i 0.574550 0.292748i
\(364\) 3.54978 + 3.47762i 0.186059 + 0.182277i
\(365\) 0.312730 + 0.0438829i 0.0163690 + 0.00229694i
\(366\) −1.31751 + 17.9160i −0.0688671 + 0.936483i
\(367\) −8.71072 + 1.37964i −0.454696 + 0.0720168i −0.379582 0.925158i \(-0.623932\pi\)
−0.0751141 + 0.997175i \(0.523932\pi\)
\(368\) −24.4124 + 4.38218i −1.27258 + 0.228437i
\(369\) 0.337434 0.464438i 0.0175661 0.0241777i
\(370\) 13.4227 8.65245i 0.697811 0.449819i
\(371\) −0.734146 1.01047i −0.0381150 0.0524607i
\(372\) 6.22297 2.09285i 0.322646 0.108509i
\(373\) −6.52571 3.32501i −0.337888 0.172163i 0.276811 0.960924i \(-0.410723\pi\)
−0.614699 + 0.788762i \(0.710723\pi\)
\(374\) 1.33093 + 5.42096i 0.0688207 + 0.280311i
\(375\) −7.47576 + 8.31342i −0.386047 + 0.429303i
\(376\) 4.64697 4.09432i 0.239649 0.211149i
\(377\) −22.1058 + 43.3850i −1.13850 + 2.23444i
\(378\) −0.566225 + 0.0474890i −0.0291234 + 0.00244257i
\(379\) −25.1849 + 18.2979i −1.29366 + 0.939902i −0.999873 0.0159680i \(-0.994917\pi\)
−0.293791 + 0.955870i \(0.594917\pi\)
\(380\) −4.29330 4.05989i −0.220242 0.208268i
\(381\) 12.2092 + 8.87050i 0.625496 + 0.454449i
\(382\) 24.5748 + 14.8865i 1.25736 + 0.761658i
\(383\) 1.44958 + 9.15227i 0.0740699 + 0.467659i 0.996645 + 0.0818421i \(0.0260803\pi\)
−0.922575 + 0.385817i \(0.873920\pi\)
\(384\) 2.24416 11.0889i 0.114522 0.565878i
\(385\) −0.602445 + 4.29330i −0.0307034 + 0.218807i
\(386\) −13.1635 + 8.15984i −0.670003 + 0.415325i
\(387\) −5.28301 10.3685i −0.268551 0.527060i
\(388\) −15.7802 11.2192i −0.801118 0.569571i
\(389\) 13.1473 4.27183i 0.666597 0.216591i 0.0438790 0.999037i \(-0.486028\pi\)
0.622718 + 0.782446i \(0.286028\pi\)
\(390\) 7.89369 + 17.8919i 0.399713 + 0.905994i
\(391\) 4.82357 + 1.56727i 0.243939 + 0.0792605i
\(392\) 12.3339 14.8998i 0.622954 0.752553i
\(393\) −2.26312 + 2.26312i −0.114159 + 0.114159i
\(394\) −17.6954 7.22346i −0.891480 0.363913i
\(395\) 0.665498 0.950864i 0.0334848 0.0478431i
\(396\) 8.64368 + 4.29296i 0.434362 + 0.215729i
\(397\) −21.4097 3.39096i −1.07452 0.170187i −0.405994 0.913876i \(-0.633074\pi\)
−0.668526 + 0.743689i \(0.733074\pi\)
\(398\) 33.6626 + 7.89912i 1.68735 + 0.395947i
\(399\) 0.530869 0.0265767
\(400\) 19.3366 + 5.10852i 0.966829 + 0.255426i
\(401\) −0.427591 −0.0213529 −0.0106764 0.999943i \(-0.503398\pi\)
−0.0106764 + 0.999943i \(0.503398\pi\)
\(402\) 14.6331 + 3.43374i 0.729833 + 0.171259i
\(403\) 20.0509 + 3.17574i 0.998804 + 0.158195i
\(404\) −8.23524 4.09010i −0.409718 0.203490i
\(405\) −2.13850 0.653304i −0.106263 0.0324630i
\(406\) −4.14214 1.69087i −0.205571 0.0839164i
\(407\) 17.2317 17.2317i 0.854142 0.854142i
\(408\) −1.47523 + 1.78214i −0.0730349 + 0.0882290i
\(409\) 1.06535 + 0.346153i 0.0526781 + 0.0171162i 0.335238 0.942134i \(-0.391183\pi\)
−0.282559 + 0.959250i \(0.591183\pi\)
\(410\) 0.383438 1.77443i 0.0189366 0.0876331i
\(411\) 21.0827 6.85017i 1.03993 0.337894i
\(412\) −21.5014 15.2869i −1.05930 0.753130i
\(413\) −1.73724 3.40952i −0.0854838 0.167771i
\(414\) 7.45320 4.62013i 0.366305 0.227067i
\(415\) 2.90622 + 5.46298i 0.142661 + 0.268167i
\(416\) 22.0291 27.1753i 1.08007 1.33238i
\(417\) 0.735307 + 4.64254i 0.0360081 + 0.227346i
\(418\) −7.71216 4.67172i −0.377214 0.228501i
\(419\) −24.7848 18.0072i −1.21082 0.879710i −0.215512 0.976501i \(-0.569142\pi\)
−0.995305 + 0.0967917i \(0.969142\pi\)
\(420\) −1.57759 + 0.860152i −0.0769786 + 0.0419711i
\(421\) −25.3400 + 18.4106i −1.23500 + 0.897277i −0.997254 0.0740512i \(-0.976407\pi\)
−0.237742 + 0.971328i \(0.576407\pi\)
\(422\) −8.13444 + 0.682231i −0.395978 + 0.0332105i
\(423\) −0.994096 + 1.95102i −0.0483346 + 0.0948620i
\(424\) −6.59714 + 5.81257i −0.320385 + 0.282283i
\(425\) −2.99225 2.78792i −0.145145 0.135234i
\(426\) −0.241778 0.984779i −0.0117142 0.0477127i
\(427\) −4.54751 2.31707i −0.220069 0.112131i
\(428\) 18.8112 6.32641i 0.909276 0.305798i
\(429\) 17.5404 + 24.1423i 0.846860 + 1.16560i
\(430\) −28.5197 23.2548i −1.37534 1.12145i
\(431\) −2.44551 + 3.36595i −0.117796 + 0.162132i −0.863843 0.503761i \(-0.831949\pi\)
0.746047 + 0.665893i \(0.231949\pi\)
\(432\) 0.706731 + 3.93707i 0.0340026 + 0.189422i
\(433\) −26.2088 + 4.15107i −1.25952 + 0.199488i −0.750269 0.661133i \(-0.770076\pi\)
−0.509247 + 0.860620i \(0.670076\pi\)
\(434\) −0.136800 + 1.86027i −0.00656663 + 0.0892957i
\(435\) −12.6675 12.2276i −0.607360 0.586269i
\(436\) −1.05555 1.03409i −0.0505516 0.0495240i
\(437\) −7.29977 + 3.71942i −0.349195 + 0.177924i
\(438\) 0.130489 + 0.151204i 0.00623502 + 0.00722483i
\(439\) 3.42870 + 10.5525i 0.163643 + 0.503641i 0.998934 0.0461672i \(-0.0147007\pi\)
−0.835291 + 0.549808i \(0.814701\pi\)
\(440\) 30.4878 + 1.38725i 1.45345 + 0.0661343i
\(441\) −2.11323 + 6.50386i −0.100630 + 0.309708i
\(442\) −6.59483 + 2.77142i −0.313684 + 0.131823i
\(443\) 9.84313 + 9.84313i 0.467661 + 0.467661i 0.901156 0.433495i \(-0.142720\pi\)
−0.433495 + 0.901156i \(0.642720\pi\)
\(444\) 9.99149 + 1.47750i 0.474175 + 0.0701191i
\(445\) 21.1700 15.9598i 1.00355 0.756569i
\(446\) −7.13036 + 8.43590i −0.337632 + 0.399451i
\(447\) 1.70981 10.7953i 0.0808714 0.510602i
\(448\) 2.65737 + 1.80833i 0.125549 + 0.0854356i
\(449\) 29.3339i 1.38435i −0.721729 0.692175i \(-0.756652\pi\)
0.721729 0.692175i \(-0.243348\pi\)
\(450\) −7.02105 + 0.839538i −0.330976 + 0.0395762i
\(451\) 2.77022i 0.130445i
\(452\) 0.325327 + 31.6832i 0.0153021 + 1.49025i
\(453\) 1.47668 9.32341i 0.0693806 0.438052i
\(454\) 3.31296 + 2.80025i 0.155485 + 0.131422i
\(455\) −5.55508 + 0.0981563i −0.260426 + 0.00460164i
\(456\) −0.350554 3.72064i −0.0164162 0.174235i
\(457\) 8.90285 + 8.90285i 0.416458 + 0.416458i 0.883981 0.467523i \(-0.154854\pi\)
−0.467523 + 0.883981i \(0.654854\pi\)
\(458\) −11.8425 28.1802i −0.553362 1.31677i
\(459\) 0.252760 0.777916i 0.0117978 0.0363100i
\(460\) 15.6664 22.8806i 0.730447 1.06682i
\(461\) 1.50779 + 4.64051i 0.0702249 + 0.216130i 0.980010 0.198951i \(-0.0637534\pi\)
−0.909785 + 0.415081i \(0.863753\pi\)
\(462\) −2.07581 + 1.79142i −0.0965752 + 0.0833443i
\(463\) −23.7928 + 12.1230i −1.10575 + 0.563405i −0.908894 0.417028i \(-0.863072\pi\)
−0.196852 + 0.980433i \(0.563072\pi\)
\(464\) −9.11537 + 30.1471i −0.423170 + 1.39954i
\(465\) −3.21641 + 6.59821i −0.149158 + 0.305985i
\(466\) −1.03735 0.0762845i −0.0480542 0.00353381i
\(467\) 15.1389 2.39777i 0.700545 0.110955i 0.204005 0.978970i \(-0.434604\pi\)
0.496539 + 0.868014i \(0.334604\pi\)
\(468\) −3.70101 + 11.8015i −0.171079 + 0.545524i
\(469\) −2.51001 + 3.45473i −0.115901 + 0.159525i
\(470\) −0.385753 + 6.91364i −0.0177934 + 0.318902i
\(471\) −4.52176 6.22366i −0.208352 0.286771i
\(472\) −22.7487 + 14.4270i −1.04709 + 0.664056i
\(473\) −50.0335 25.4933i −2.30054 1.17218i
\(474\) 0.712867 0.175020i 0.0327431 0.00803893i
\(475\) 6.60223 0.233391i 0.302931 0.0107087i
\(476\) −0.304397 0.582548i −0.0139520 0.0267011i
\(477\) 1.41128 2.76980i 0.0646183 0.126821i
\(478\) 1.83609 + 21.8922i 0.0839809 + 1.00133i
\(479\) 12.7600 9.27066i 0.583018 0.423587i −0.256793 0.966466i \(-0.582666\pi\)
0.839811 + 0.542879i \(0.182666\pi\)
\(480\) 7.07019 + 10.4887i 0.322708 + 0.478741i
\(481\) 25.2658 + 18.3567i 1.15202 + 0.836991i
\(482\) −5.12818 + 8.46568i −0.233582 + 0.385601i
\(483\) 0.389731 + 2.46066i 0.0177334 + 0.111964i
\(484\) 24.2281 4.09280i 1.10128 0.186036i
\(485\) 21.3177 3.76359i 0.967985 0.170896i
\(486\) −0.745105 1.20201i −0.0337987 0.0545241i
\(487\) −7.07070 13.8770i −0.320404 0.628828i 0.673486 0.739200i \(-0.264796\pi\)
−0.993890 + 0.110371i \(0.964796\pi\)
\(488\) −13.2365 + 33.4016i −0.599187 + 1.51202i
\(489\) 13.0027 4.22484i 0.588003 0.191054i
\(490\) 2.18781 + 21.5145i 0.0988350 + 0.971926i
\(491\) −5.21837 1.69555i −0.235502 0.0765191i 0.188889 0.981999i \(-0.439512\pi\)
−0.424390 + 0.905479i \(0.639512\pi\)
\(492\) 0.921898 0.684370i 0.0415624 0.0308538i
\(493\) 4.55400 4.55400i 0.205102 0.205102i
\(494\) 4.36718 10.6983i 0.196489 0.481341i
\(495\) −10.2016 + 3.51514i −0.458527 + 0.157994i
\(496\) 13.1282 0.269632i 0.589472 0.0121068i
\(497\) 0.284544 + 0.0450673i 0.0127635 + 0.00202155i
\(498\) −0.894058 + 3.81009i −0.0400637 + 0.170734i
\(499\) 36.0956 1.61586 0.807931 0.589277i \(-0.200587\pi\)
0.807931 + 0.589277i \(0.200587\pi\)
\(500\) −19.2418 + 11.3910i −0.860518 + 0.509420i
\(501\) −0.234205 −0.0104635
\(502\) 5.65066 24.0807i 0.252201 1.07477i
\(503\) −18.4908 2.92865i −0.824462 0.130582i −0.270073 0.962840i \(-0.587048\pi\)
−0.554389 + 0.832258i \(0.687048\pi\)
\(504\) −1.10898 0.248243i −0.0493979 0.0110576i
\(505\) 9.71952 3.34903i 0.432513 0.149030i
\(506\) 15.9924 39.1767i 0.710949 1.74162i
\(507\) −17.8496 + 17.8496i −0.792730 + 0.792730i
\(508\) 17.9908 + 24.2349i 0.798212 + 1.07525i
\(509\) −18.6069 6.04575i −0.824737 0.267973i −0.133910 0.990993i \(-0.542753\pi\)
−0.690827 + 0.723020i \(0.742753\pi\)
\(510\) −0.261680 2.57331i −0.0115874 0.113948i
\(511\) −0.0539660 + 0.0175346i −0.00238732 + 0.000775686i
\(512\) 10.9191 19.8185i 0.482559 0.875864i
\(513\) 0.599844 + 1.17726i 0.0264838 + 0.0519773i
\(514\) −9.50919 15.3402i −0.419432 0.676629i
\(515\) 29.0465 5.12811i 1.27994 0.225972i
\(516\) −3.87664 22.9485i −0.170659 1.01025i
\(517\) 1.65295 + 10.4363i 0.0726965 + 0.458988i
\(518\) −1.48674 + 2.45433i −0.0653235 + 0.107837i
\(519\) −6.02220 4.37539i −0.264345 0.192058i
\(520\) 4.35618 + 38.8684i 0.191031 + 1.70449i
\(521\) −28.4303 + 20.6558i −1.24555 + 0.904947i −0.997955 0.0639160i \(-0.979641\pi\)
−0.247597 + 0.968863i \(0.579641\pi\)
\(522\) −0.930633 11.0962i −0.0407327 0.485668i
\(523\) 8.68718 17.0496i 0.379864 0.745525i −0.619352 0.785113i \(-0.712605\pi\)
0.999216 + 0.0395884i \(0.0126047\pi\)
\(524\) −5.67325 + 2.96443i −0.247837 + 0.129502i
\(525\) 0.552909 1.93135i 0.0241309 0.0842910i
\(526\) 41.4602 10.1791i 1.80775 0.443830i
\(527\) −2.39245 1.21901i −0.104217 0.0531011i
\(528\) 13.9260 + 13.3655i 0.606053 + 0.581659i
\(529\) −9.08005 12.4976i −0.394785 0.543375i
\(530\) 0.547640 9.81506i 0.0237880 0.426339i
\(531\) 5.59802 7.70502i 0.242934 0.334369i
\(532\) 1.01309 + 0.317710i 0.0439230 + 0.0137745i
\(533\) 3.50645 0.555366i 0.151881 0.0240556i
\(534\) 16.7225 + 1.22974i 0.723653 + 0.0532160i
\(535\) −9.72280 + 19.9455i −0.420353 + 0.862321i
\(536\) 25.8702 + 15.3103i 1.11742 + 0.661305i
\(537\) 0.911777 0.464574i 0.0393461 0.0200478i
\(538\) −1.13562 + 0.980037i −0.0489600 + 0.0422524i
\(539\) 10.1975 + 31.3846i 0.439236 + 1.35183i
\(540\) −3.69005 2.52657i −0.158794 0.108726i
\(541\) −9.02742 + 27.7835i −0.388119 + 1.19451i 0.546073 + 0.837738i \(0.316122\pi\)
−0.934192 + 0.356770i \(0.883878\pi\)
\(542\) −12.8404 30.5549i −0.551544 1.31245i
\(543\) −4.90880 4.90880i −0.210657 0.210657i
\(544\) −3.88183 + 2.51807i −0.166432 + 0.107962i
\(545\) 1.65184 0.0291874i 0.0707569 0.00125025i
\(546\) −2.68366 2.26834i −0.114850 0.0970760i
\(547\) −5.10500 + 32.2317i −0.218274 + 1.37813i 0.598478 + 0.801139i \(0.295772\pi\)
−0.816752 + 0.576989i \(0.804228\pi\)
\(548\) 44.3329 0.455217i 1.89381 0.0194459i
\(549\) 12.7027i 0.542139i
\(550\) −25.0285 + 23.1918i −1.06722 + 0.988903i
\(551\) 10.4034i 0.443198i
\(552\) 16.9884 4.35633i 0.723074 0.185418i
\(553\) −0.0326236 + 0.205977i −0.00138730 + 0.00875904i
\(554\) −7.52568 + 8.90360i −0.319736 + 0.378278i
\(555\) −9.01698 + 6.79782i −0.382749 + 0.288551i
\(556\) −1.37520 + 9.29970i −0.0583215 + 0.394395i
\(557\) −21.6247 21.6247i −0.916268 0.916268i 0.0804877 0.996756i \(-0.474352\pi\)
−0.996756 + 0.0804877i \(0.974352\pi\)
\(558\) −4.27992 + 1.79860i −0.181184 + 0.0761408i
\(559\) 22.2379 68.4413i 0.940564 2.89476i
\(560\) −3.52539 + 0.697335i −0.148975 + 0.0294678i
\(561\) −1.21970 3.75385i −0.0514958 0.158488i
\(562\) 8.98241 + 10.4084i 0.378900 + 0.439051i
\(563\) 28.9806 14.7664i 1.22139 0.622328i 0.280112 0.959967i \(-0.409628\pi\)
0.941275 + 0.337640i \(0.109628\pi\)
\(564\) −3.06472 + 3.12831i −0.129048 + 0.131726i
\(565\) −25.4877 24.6026i −1.07228 1.03504i
\(566\) 0.936033 12.7285i 0.0393444 0.535021i
\(567\) 0.396840 0.0628533i 0.0166657 0.00263959i
\(568\) 0.127962 2.02401i 0.00536918 0.0849255i
\(569\) −8.27181 + 11.3852i −0.346772 + 0.477291i −0.946404 0.322985i \(-0.895314\pi\)
0.599632 + 0.800276i \(0.295314\pi\)
\(570\) 3.23819 + 2.64040i 0.135633 + 0.110594i
\(571\) 16.6535 + 22.9216i 0.696927 + 0.959237i 0.999980 + 0.00626394i \(0.00199389\pi\)
−0.303054 + 0.952974i \(0.598006\pi\)
\(572\) 19.0249 + 56.5697i 0.795473 + 2.36530i
\(573\) −18.1022 9.22354i −0.756231 0.385319i
\(574\) 0.0777767 + 0.316790i 0.00324634 + 0.0132225i
\(575\) 5.92874 + 30.4310i 0.247246 + 1.26906i
\(576\) −1.00753 + 7.93630i −0.0419803 + 0.330679i
\(577\) 3.67055 7.20385i 0.152807 0.299900i −0.801895 0.597465i \(-0.796175\pi\)
0.954702 + 0.297565i \(0.0961745\pi\)
\(578\) −23.0147 + 1.93023i −0.957284 + 0.0802869i
\(579\) 8.85975 6.43698i 0.368199 0.267512i
\(580\) −16.8562 30.9158i −0.699917 1.28371i
\(581\) −0.899523 0.653542i −0.0373185 0.0271135i
\(582\) 11.7100 + 7.09349i 0.485397 + 0.294035i
\(583\) −2.34663 14.8161i −0.0971876 0.613618i
\(584\) 0.158529 + 0.366646i 0.00655997 + 0.0151719i
\(585\) −6.49451 12.2081i −0.268515 0.504742i
\(586\) −35.7285 + 22.1476i −1.47593 + 0.914907i
\(587\) −16.7529 32.8795i −0.691468 1.35708i −0.923207 0.384304i \(-0.874442\pi\)
0.231739 0.972778i \(-0.425558\pi\)
\(588\) −7.92518 + 11.1470i −0.326829 + 0.459694i
\(589\) 4.12510 1.34032i 0.169972 0.0552271i
\(590\) 6.36122 29.4378i 0.261887 1.21194i
\(591\) 12.8534 + 4.17633i 0.528720 + 0.171791i
\(592\) 18.1831 + 8.79922i 0.747321 + 0.361646i
\(593\) 9.67544 9.67544i 0.397323 0.397323i −0.479965 0.877288i \(-0.659351\pi\)
0.877288 + 0.479965i \(0.159351\pi\)
\(594\) −6.31818 2.57915i −0.259238 0.105824i
\(595\) 0.702800 + 0.214703i 0.0288120 + 0.00880195i
\(596\) 9.72364 19.5781i 0.398296 0.801950i
\(597\) −24.1486 3.82476i −0.988337 0.156537i
\(598\) 52.7946 + 12.3885i 2.15893 + 0.506605i
\(599\) 5.56923 0.227552 0.113776 0.993506i \(-0.463705\pi\)
0.113776 + 0.993506i \(0.463705\pi\)
\(600\) −13.9011 2.59976i −0.567511 0.106135i
\(601\) 37.8533 1.54407 0.772035 0.635580i \(-0.219239\pi\)
0.772035 + 0.635580i \(0.219239\pi\)
\(602\) 6.43734 + 1.51056i 0.262366 + 0.0615657i
\(603\) −10.4974 1.66262i −0.427486 0.0677072i
\(604\) 8.39784 16.9087i 0.341703 0.688004i
\(605\) −15.7523 + 22.5069i −0.640421 + 0.915034i
\(606\) 6.01962 + 2.45728i 0.244530 + 0.0998201i
\(607\) −3.65411 + 3.65411i −0.148316 + 0.148316i −0.777365 0.629049i \(-0.783444\pi\)
0.629049 + 0.777365i \(0.283444\pi\)
\(608\) 1.55771 7.31011i 0.0631736 0.296464i
\(609\) 3.00873 + 0.977597i 0.121920 + 0.0396142i
\(610\) −16.2144 36.7517i −0.656500 1.48803i
\(611\) −12.8785 + 4.18448i −0.521008 + 0.169286i
\(612\) 0.947917 1.33327i 0.0383173 0.0538944i
\(613\) −7.16598 14.0640i −0.289431 0.568041i 0.699811 0.714328i \(-0.253268\pi\)
−0.989242 + 0.146287i \(0.953268\pi\)
\(614\) −25.5746 + 15.8533i −1.03211 + 0.639788i
\(615\) −0.178380 + 1.27122i −0.00719299 + 0.0512606i
\(616\) −5.03349 + 2.17636i −0.202805 + 0.0876879i
\(617\) −1.82125 11.4989i −0.0733207 0.462929i −0.996844 0.0793863i \(-0.974704\pi\)
0.923523 0.383543i \(-0.125296\pi\)
\(618\) 15.9556 + 9.66529i 0.641829 + 0.388795i
\(619\) 1.82958 + 1.32927i 0.0735369 + 0.0534277i 0.623946 0.781467i \(-0.285528\pi\)
−0.550409 + 0.834895i \(0.685528\pi\)
\(620\) −10.0869 + 10.6668i −0.405100 + 0.428390i
\(621\) −5.01642 + 3.64464i −0.201302 + 0.146254i
\(622\) 47.2524 3.96304i 1.89465 0.158903i
\(623\) −2.16272 + 4.24457i −0.0866474 + 0.170055i
\(624\) −14.1257 + 20.3065i −0.565481 + 0.812912i
\(625\) 6.02723 24.2626i 0.241089 0.970503i
\(626\) −2.13809 8.70857i −0.0854551 0.348064i
\(627\) 5.68090 + 2.89457i 0.226873 + 0.115598i
\(628\) −4.90445 14.5831i −0.195709 0.581930i
\(629\) −2.42797 3.34181i −0.0968094 0.133247i
\(630\) 1.06791 0.688394i 0.0425467 0.0274263i
\(631\) −6.35346 + 8.74478i −0.252927 + 0.348124i −0.916534 0.399957i \(-0.869025\pi\)
0.663607 + 0.748082i \(0.269025\pi\)
\(632\) 1.46515 + 0.0926300i 0.0582806 + 0.00368462i
\(633\) 5.70105 0.902957i 0.226596 0.0358893i
\(634\) −1.27510 + 17.3394i −0.0506409 + 0.688635i
\(635\) −33.4180 4.68928i −1.32615 0.186088i
\(636\) 4.35088 4.44116i 0.172524 0.176104i
\(637\) −37.6811 + 19.1995i −1.49298 + 0.760710i
\(638\) −35.1061 40.6792i −1.38986 1.61051i
\(639\) 0.221573 + 0.681930i 0.00876528 + 0.0269767i
\(640\) 7.21528 + 24.2475i 0.285209 + 0.958465i
\(641\) 5.64411 17.3708i 0.222929 0.686104i −0.775566 0.631266i \(-0.782536\pi\)
0.998495 0.0548383i \(-0.0174643\pi\)
\(642\) −12.9377 + 5.43693i −0.510608 + 0.214579i
\(643\) −7.36517 7.36517i −0.290454 0.290454i 0.546806 0.837260i \(-0.315844\pi\)
−0.837260 + 0.546806i \(0.815844\pi\)
\(644\) −0.728890 + 4.92907i −0.0287223 + 0.194233i
\(645\) 21.3182 + 14.9203i 0.839402 + 0.587487i
\(646\) −0.986628 + 1.16727i −0.0388184 + 0.0459258i
\(647\) −3.13185 + 19.7737i −0.123126 + 0.777386i 0.846427 + 0.532504i \(0.178749\pi\)
−0.969553 + 0.244881i \(0.921251\pi\)
\(648\) −0.702562 2.73978i −0.0275992 0.107629i
\(649\) 45.9580i 1.80401i
\(650\) −34.3730 27.0307i −1.34822 1.06023i
\(651\) 1.31896i 0.0516941i
\(652\) 27.3423 0.280754i 1.07081 0.0109952i
\(653\) 2.73613 17.2752i 0.107073 0.676032i −0.874512 0.485004i \(-0.838818\pi\)
0.981585 0.191027i \(-0.0611820\pi\)
\(654\) 0.798003 + 0.674505i 0.0312044 + 0.0263752i
\(655\) 2.09092 6.84434i 0.0816990 0.267431i
\(656\) 2.16889 0.754293i 0.0846808 0.0294502i
\(657\) −0.0998627 0.0998627i −0.00389601 0.00389601i
\(658\) −0.482032 1.14704i −0.0187916 0.0447162i
\(659\) −3.53605 + 10.8828i −0.137745 + 0.423936i −0.996007 0.0892764i \(-0.971545\pi\)
0.858262 + 0.513212i \(0.171545\pi\)
\(660\) −21.5720 + 0.602783i −0.839689 + 0.0234633i
\(661\) 7.49196 + 23.0579i 0.291404 + 0.896848i 0.984406 + 0.175913i \(0.0562876\pi\)
−0.693002 + 0.720936i \(0.743712\pi\)
\(662\) −14.3398 + 12.3752i −0.557333 + 0.480978i
\(663\) 4.50697 2.29641i 0.175036 0.0891853i
\(664\) −3.98641 + 6.73594i −0.154703 + 0.261405i
\(665\) −1.04799 + 0.557516i −0.0406394 + 0.0216195i
\(666\) −7.12265 0.523786i −0.275997 0.0202963i
\(667\) −48.2212 + 7.63748i −1.86713 + 0.295725i
\(668\) −0.446947 0.140165i −0.0172929 0.00542314i
\(669\) 4.59087 6.31879i 0.177493 0.244299i
\(670\) −32.4934 + 8.58904i −1.25533 + 0.331823i
\(671\) −36.0296 49.5906i −1.39091 1.91442i
\(672\) −1.96777 1.13743i −0.0759082 0.0438773i
\(673\) −43.0361 21.9280i −1.65892 0.845262i −0.995262 0.0972259i \(-0.969003\pi\)
−0.663658 0.748036i \(-0.730997\pi\)
\(674\) −11.2506 + 2.76220i −0.433357 + 0.106396i
\(675\) 4.90773 0.956151i 0.188898 0.0368023i
\(676\) −44.7460 + 23.3810i −1.72100 + 0.899270i
\(677\) 0.0777535 0.152600i 0.00298831 0.00586489i −0.889508 0.456920i \(-0.848952\pi\)
0.892496 + 0.451056i \(0.148952\pi\)
\(678\) −1.87249 22.3262i −0.0719124 0.857432i
\(679\) −3.14683 + 2.28630i −0.120764 + 0.0877403i
\(680\) 1.04067 5.06741i 0.0399080 0.194326i
\(681\) −2.48153 1.80294i −0.0950924 0.0690887i
\(682\) −11.6070 + 19.1611i −0.444456 + 0.733715i
\(683\) 3.27418 + 20.6724i 0.125283 + 0.791007i 0.967686 + 0.252158i \(0.0811404\pi\)
−0.842403 + 0.538848i \(0.818860\pi\)
\(684\) 0.440161 + 2.60563i 0.0168300 + 0.0996286i
\(685\) −34.4254 + 35.6639i −1.31533 + 1.36265i
\(686\) −4.14290 6.68334i −0.158177 0.255171i
\(687\) 9.81274 + 19.2586i 0.374379 + 0.734761i
\(688\) 6.33603 46.1141i 0.241559 1.75808i
\(689\) 18.2832 5.94056i 0.696533 0.226317i
\(690\) −9.86138 + 16.9479i −0.375416 + 0.645197i
\(691\) 22.4980 + 7.31006i 0.855866 + 0.278088i 0.703901 0.710298i \(-0.251440\pi\)
0.151965 + 0.988386i \(0.451440\pi\)
\(692\) −8.87398 11.9539i −0.337338 0.454420i
\(693\) 1.37096 1.37096i 0.0520785 0.0520785i
\(694\) −11.8776 + 29.0967i −0.450868 + 1.10450i
\(695\) −6.32714 8.39266i −0.240002 0.318352i
\(696\) 4.86478 21.7325i 0.184399 0.823768i
\(697\) −0.463785 0.0734563i −0.0175671 0.00278235i
\(698\) −6.70153 + 28.5590i −0.253657 + 1.08097i
\(699\) 0.735496 0.0278190
\(700\) 2.21101 3.35481i 0.0835681 0.126800i
\(701\) 24.6490 0.930981 0.465491 0.885053i \(-0.345878\pi\)
0.465491 + 0.885053i \(0.345878\pi\)
\(702\) 1.99795 8.51438i 0.0754076 0.321354i
\(703\) 6.59037 + 1.04381i 0.248560 + 0.0393681i
\(704\) 18.5770 + 33.8405i 0.700147 + 1.27541i
\(705\) −0.0865021 4.89552i −0.00325786 0.184376i
\(706\) 16.1274 39.5075i 0.606964 1.48688i
\(707\) −1.30618 + 1.30618i −0.0491239 + 0.0491239i
\(708\) 15.2943 11.3537i 0.574794 0.426698i
\(709\) 1.81095 + 0.588412i 0.0680115 + 0.0220983i 0.342825 0.939399i \(-0.388616\pi\)
−0.274814 + 0.961498i \(0.588616\pi\)
\(710\) 1.51151 + 1.69014i 0.0567258 + 0.0634300i
\(711\) −0.493639 + 0.160393i −0.0185129 + 0.00601521i
\(712\) 31.1765 + 12.3547i 1.16839 + 0.463012i
\(713\) 9.24100 + 18.1365i 0.346078 + 0.679217i
\(714\) 0.244872 + 0.395029i 0.00916412 + 0.0147836i
\(715\) −59.9808 29.2387i −2.24316 1.09346i
\(716\) 2.01803 0.340901i 0.0754174 0.0127401i
\(717\) −2.43013 15.3433i −0.0907549 0.573004i
\(718\) −9.05434 + 14.9470i −0.337905 + 0.557819i
\(719\) 2.72857 + 1.98242i 0.101758 + 0.0739318i 0.637501 0.770450i \(-0.279968\pi\)
−0.535743 + 0.844381i \(0.679968\pi\)
\(720\) −5.52985 7.02999i −0.206085 0.261992i
\(721\) −4.28773 + 3.11522i −0.159683 + 0.116017i
\(722\) 2.03936 + 24.3158i 0.0758970 + 0.904941i
\(723\) 3.17738 6.23596i 0.118168 0.231918i
\(724\) −6.42997 12.3055i −0.238968 0.457331i
\(725\) 37.8483 + 10.8353i 1.40565 + 0.402411i
\(726\) −16.8735 + 4.14270i −0.626234 + 0.153750i
\(727\) 36.2670 + 18.4790i 1.34507 + 0.685348i 0.970330 0.241782i \(-0.0777320\pi\)
0.374740 + 0.927130i \(0.377732\pi\)
\(728\) −3.76385 5.93490i −0.139498 0.219962i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −0.416394 0.161455i −0.0154114 0.00597570i
\(731\) −5.59474 + 7.70050i −0.206929 + 0.284813i
\(732\) 7.60221 24.2413i 0.280986 0.895986i
\(733\) 28.2983 4.48200i 1.04522 0.165547i 0.389869 0.920871i \(-0.372520\pi\)
0.655352 + 0.755324i \(0.272520\pi\)
\(734\) 12.4388 + 0.914724i 0.459124 + 0.0337631i
\(735\) −2.65857 15.0586i −0.0980629 0.555446i
\(736\) 35.0271 + 1.85362i 1.29112 + 0.0683254i
\(737\) −45.6969 + 23.2837i −1.68327 + 0.857667i
\(738\) −0.614634 + 0.530428i −0.0226250 + 0.0195253i
\(739\) 5.33155 + 16.4088i 0.196124 + 0.603608i 0.999962 + 0.00875922i \(0.00278818\pi\)
−0.803837 + 0.594849i \(0.797212\pi\)
\(740\) −21.2759 + 7.57626i −0.782119 + 0.278509i
\(741\) −2.52494 + 7.77097i −0.0927560 + 0.285474i
\(742\) 0.684325 + 1.62841i 0.0251224 + 0.0597808i
\(743\) −19.9221 19.9221i −0.730870 0.730870i 0.239922 0.970792i \(-0.422878\pi\)
−0.970792 + 0.239922i \(0.922878\pi\)
\(744\) −9.24404 + 0.870962i −0.338903 + 0.0319310i
\(745\) 7.96184 + 23.1068i 0.291699 + 0.846567i
\(746\) 7.91046 + 6.68624i 0.289622 + 0.244801i
\(747\) 0.432904 2.73325i 0.0158391 0.100004i
\(748\) −0.0810531 7.89365i −0.00296360 0.288621i
\(749\) 3.98705i 0.145683i
\(750\) 12.9786 9.03080i 0.473912 0.329758i
\(751\) 44.0978i 1.60915i −0.593851 0.804575i \(-0.702393\pi\)
0.593851 0.804575i \(-0.297607\pi\)
\(752\) −7.72080 + 4.13580i −0.281549 + 0.150817i
\(753\) −2.73606 + 17.2748i −0.0997074 + 0.629528i
\(754\) 44.4523 52.5913i 1.61886 1.91526i
\(755\) 6.87626 + 19.9562i 0.250253 + 0.726281i
\(756\) 0.794929 + 0.117551i 0.0289113 + 0.00427528i
\(757\) 23.0613 + 23.0613i 0.838177 + 0.838177i 0.988619 0.150442i \(-0.0480696\pi\)
−0.150442 + 0.988619i \(0.548070\pi\)
\(758\) 40.5867 17.0562i 1.47417 0.619509i
\(759\) −9.24620 + 28.4569i −0.335616 + 1.03292i
\(760\) 4.59943 + 6.97679i 0.166839 + 0.253075i
\(761\) 11.1365 + 34.2748i 0.403699 + 1.24246i 0.921976 + 0.387246i \(0.126574\pi\)
−0.518277 + 0.855213i \(0.673426\pi\)
\(762\) −13.9439 16.1575i −0.505136 0.585326i
\(763\) −0.264500 + 0.134770i −0.00957556 + 0.00487899i
\(764\) −29.0255 28.4355i −1.05011 1.02876i
\(765\) 0.317987 + 1.80114i 0.0114968 + 0.0651202i
\(766\) 0.961091 13.0693i 0.0347256 0.472213i
\(767\) 58.1719 9.21352i 2.10047 0.332681i
\(768\) −6.67237 + 14.5423i −0.240769 + 0.524751i
\(769\) −12.8574 + 17.6967i −0.463651 + 0.638160i −0.975261 0.221057i \(-0.929049\pi\)
0.511610 + 0.859218i \(0.329049\pi\)
\(770\) 2.21652 5.71645i 0.0798780 0.206006i
\(771\) 7.50144 + 10.3248i 0.270158 + 0.371840i
\(772\) 20.7599 6.98177i 0.747166 0.251279i
\(773\) −24.7065 12.5886i −0.888630 0.452780i −0.0507986 0.998709i \(-0.516177\pi\)
−0.837831 +