Properties

Label 300.2.r.a.59.50
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.50
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.50

$q$-expansion

\(f(q)\) \(=\) \(q+(1.30486 + 0.545281i) q^{2} +(0.964452 + 1.43869i) q^{3} +(1.40534 + 1.42303i) q^{4} +(-2.14307 - 0.638169i) q^{5} +(0.473987 + 2.40319i) q^{6} +4.06778 q^{7} +(1.05782 + 2.62317i) q^{8} +(-1.13967 + 2.77510i) q^{9} +O(q^{10})\) \(q+(1.30486 + 0.545281i) q^{2} +(0.964452 + 1.43869i) q^{3} +(1.40534 + 1.42303i) q^{4} +(-2.14307 - 0.638169i) q^{5} +(0.473987 + 2.40319i) q^{6} +4.06778 q^{7} +(1.05782 + 2.62317i) q^{8} +(-1.13967 + 2.77510i) q^{9} +(-2.44843 - 2.00130i) q^{10} +(-2.61080 - 1.89685i) q^{11} +(-0.691925 + 3.39430i) q^{12} +(-3.55251 - 4.88961i) q^{13} +(5.30790 + 2.21808i) q^{14} +(-1.14876 - 3.69870i) q^{15} +(-0.0500482 + 3.99969i) q^{16} +(-0.528103 + 1.62533i) q^{17} +(-3.00032 + 2.99968i) q^{18} +(2.49211 + 0.809734i) q^{19} +(-2.10360 - 3.94650i) q^{20} +(3.92317 + 5.85228i) q^{21} +(-2.37242 - 3.89875i) q^{22} +(2.71745 - 3.74024i) q^{23} +(-2.75371 + 4.05180i) q^{24} +(4.18548 + 2.73528i) q^{25} +(-1.96933 - 8.31739i) q^{26} +(-5.09166 + 1.03682i) q^{27} +(5.71660 + 5.78858i) q^{28} +(2.01761 - 0.655560i) q^{29} +(0.517857 - 5.45269i) q^{30} +(-1.77466 - 0.576623i) q^{31} +(-2.24626 + 5.19176i) q^{32} +(0.211002 - 5.58555i) q^{33} +(-1.57536 + 1.83287i) q^{34} +(-8.71752 - 2.59593i) q^{35} +(-5.55067 + 2.27817i) q^{36} +(-1.36655 - 1.88089i) q^{37} +(2.81033 + 2.41549i) q^{38} +(3.60842 - 9.82676i) q^{39} +(-0.592960 - 6.29670i) q^{40} +(-4.31762 - 5.94269i) q^{41} +(1.92808 + 9.77566i) q^{42} -5.20326 q^{43} +(-0.969765 - 6.38097i) q^{44} +(4.21336 - 5.21992i) q^{45} +(5.58538 - 3.39874i) q^{46} +(3.27488 - 1.06407i) q^{47} +(-5.80258 + 3.78550i) q^{48} +9.54682 q^{49} +(3.96999 + 5.85143i) q^{50} +(-2.84768 + 0.807778i) q^{51} +(1.96560 - 11.9269i) q^{52} +(2.20348 + 6.78162i) q^{53} +(-7.20928 - 1.42348i) q^{54} +(4.38460 + 5.73122i) q^{55} +(4.30299 + 10.6705i) q^{56} +(1.23856 + 4.36632i) q^{57} +(2.99017 + 0.244745i) q^{58} +(9.81893 - 7.13387i) q^{59} +(3.64898 - 6.83264i) q^{60} +(-4.99307 - 3.62768i) q^{61} +(-2.00127 - 1.72010i) q^{62} +(-4.63591 + 11.2885i) q^{63} +(-5.76202 + 5.54969i) q^{64} +(4.49287 + 12.7459i) q^{65} +(3.32102 - 7.17333i) q^{66} +(0.983181 - 3.02592i) q^{67} +(-3.05507 + 1.53263i) q^{68} +(8.00190 + 0.302283i) q^{69} +(-9.95967 - 8.14083i) q^{70} +(1.67431 + 5.15300i) q^{71} +(-8.48511 - 0.0539770i) q^{72} +(-1.58017 + 2.17491i) q^{73} +(-0.757544 - 3.19946i) q^{74} +(0.101469 + 8.65966i) q^{75} +(2.34997 + 4.68430i) q^{76} +(-10.6201 - 7.71598i) q^{77} +(10.0668 - 10.8550i) q^{78} +(2.42335 - 0.787395i) q^{79} +(2.65973 - 8.53966i) q^{80} +(-6.40232 - 6.32537i) q^{81} +(-2.39347 - 10.1087i) q^{82} +(-5.77909 - 1.87774i) q^{83} +(-2.81460 + 13.8072i) q^{84} +(2.16900 - 3.14618i) q^{85} +(-6.78954 - 2.83723i) q^{86} +(2.88903 + 2.27046i) q^{87} +(2.21401 - 8.85509i) q^{88} +(-4.38993 + 6.04222i) q^{89} +(8.34419 - 4.51382i) q^{90} +(-14.4508 - 19.8899i) q^{91} +(9.14143 - 1.38929i) q^{92} +(-0.881994 - 3.10932i) q^{93} +(4.85349 + 0.397258i) q^{94} +(-4.82401 - 3.32570i) q^{95} +(-9.63574 + 1.77553i) q^{96} +(-14.9322 + 4.85176i) q^{97} +(12.4573 + 5.20569i) q^{98} +(8.23939 - 5.08343i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.30486 + 0.545281i 0.922678 + 0.385572i
\(3\) 0.964452 + 1.43869i 0.556826 + 0.830629i
\(4\) 1.40534 + 1.42303i 0.702669 + 0.711517i
\(5\) −2.14307 0.638169i −0.958409 0.285398i
\(6\) 0.473987 + 2.40319i 0.193505 + 0.981099i
\(7\) 4.06778 1.53748 0.768738 0.639564i \(-0.220885\pi\)
0.768738 + 0.639564i \(0.220885\pi\)
\(8\) 1.05782 + 2.62317i 0.373997 + 0.927430i
\(9\) −1.13967 + 2.77510i −0.379889 + 0.925032i
\(10\) −2.44843 2.00130i −0.774262 0.632866i
\(11\) −2.61080 1.89685i −0.787185 0.571923i 0.119942 0.992781i \(-0.461729\pi\)
−0.907127 + 0.420858i \(0.861729\pi\)
\(12\) −0.691925 + 3.39430i −0.199742 + 0.979849i
\(13\) −3.55251 4.88961i −0.985289 1.35613i −0.933931 0.357454i \(-0.883645\pi\)
−0.0513583 0.998680i \(-0.516355\pi\)
\(14\) 5.30790 + 2.21808i 1.41859 + 0.592807i
\(15\) −1.14876 3.69870i −0.296608 0.954999i
\(16\) −0.0500482 + 3.99969i −0.0125121 + 0.999922i
\(17\) −0.528103 + 1.62533i −0.128084 + 0.394201i −0.994450 0.105207i \(-0.966449\pi\)
0.866367 + 0.499409i \(0.166449\pi\)
\(18\) −3.00032 + 2.99968i −0.707181 + 0.707032i
\(19\) 2.49211 + 0.809734i 0.571728 + 0.185766i 0.580592 0.814195i \(-0.302821\pi\)
−0.00886323 + 0.999961i \(0.502821\pi\)
\(20\) −2.10360 3.94650i −0.470379 0.882464i
\(21\) 3.92317 + 5.85228i 0.856107 + 1.27707i
\(22\) −2.37242 3.89875i −0.505801 0.831217i
\(23\) 2.71745 3.74024i 0.566627 0.779895i −0.425523 0.904947i \(-0.639910\pi\)
0.992150 + 0.125053i \(0.0399099\pi\)
\(24\) −2.75371 + 4.05180i −0.562099 + 0.827070i
\(25\) 4.18548 + 2.73528i 0.837096 + 0.547056i
\(26\) −1.96933 8.31739i −0.386218 1.63117i
\(27\) −5.09166 + 1.03682i −0.979891 + 0.199536i
\(28\) 5.71660 + 5.78858i 1.08034 + 1.09394i
\(29\) 2.01761 0.655560i 0.374660 0.121734i −0.115633 0.993292i \(-0.536890\pi\)
0.490293 + 0.871558i \(0.336890\pi\)
\(30\) 0.517857 5.45269i 0.0945472 0.995520i
\(31\) −1.77466 0.576623i −0.318739 0.103565i 0.145278 0.989391i \(-0.453592\pi\)
−0.464017 + 0.885826i \(0.653592\pi\)
\(32\) −2.24626 + 5.19176i −0.397086 + 0.917781i
\(33\) 0.211002 5.58555i 0.0367307 0.972320i
\(34\) −1.57536 + 1.83287i −0.270173 + 0.314335i
\(35\) −8.71752 2.59593i −1.47353 0.438792i
\(36\) −5.55067 + 2.27817i −0.925112 + 0.379694i
\(37\) −1.36655 1.88089i −0.224659 0.309216i 0.681777 0.731560i \(-0.261208\pi\)
−0.906436 + 0.422344i \(0.861208\pi\)
\(38\) 2.81033 + 2.41549i 0.455895 + 0.391844i
\(39\) 3.60842 9.82676i 0.577809 1.57354i
\(40\) −0.592960 6.29670i −0.0937553 0.995595i
\(41\) −4.31762 5.94269i −0.674299 0.928093i 0.325549 0.945525i \(-0.394451\pi\)
−0.999848 + 0.0174325i \(0.994451\pi\)
\(42\) 1.92808 + 9.77566i 0.297508 + 1.50842i
\(43\) −5.20326 −0.793489 −0.396745 0.917929i \(-0.629860\pi\)
−0.396745 + 0.917929i \(0.629860\pi\)
\(44\) −0.969765 6.38097i −0.146198 0.961968i
\(45\) 4.21336 5.21992i 0.628091 0.778140i
\(46\) 5.58538 3.39874i 0.823519 0.501117i
\(47\) 3.27488 1.06407i 0.477690 0.155211i −0.0602685 0.998182i \(-0.519196\pi\)
0.537959 + 0.842971i \(0.319196\pi\)
\(48\) −5.80258 + 3.78550i −0.837531 + 0.546390i
\(49\) 9.54682 1.36383
\(50\) 3.96999 + 5.85143i 0.561441 + 0.827517i
\(51\) −2.84768 + 0.807778i −0.398755 + 0.113112i
\(52\) 1.96560 11.9269i 0.272580 1.65396i
\(53\) 2.20348 + 6.78162i 0.302672 + 0.931528i 0.980536 + 0.196340i \(0.0629057\pi\)
−0.677864 + 0.735187i \(0.737094\pi\)
\(54\) −7.20928 1.42348i −0.981059 0.193711i
\(55\) 4.38460 + 5.73122i 0.591219 + 0.772797i
\(56\) 4.30299 + 10.6705i 0.575011 + 1.42590i
\(57\) 1.23856 + 4.36632i 0.164051 + 0.578333i
\(58\) 2.99017 + 0.244745i 0.392628 + 0.0321366i
\(59\) 9.81893 7.13387i 1.27832 0.928751i 0.278815 0.960345i \(-0.410058\pi\)
0.999501 + 0.0315939i \(0.0100583\pi\)
\(60\) 3.64898 6.83264i 0.471081 0.882090i
\(61\) −4.99307 3.62768i −0.639297 0.464476i 0.220312 0.975430i \(-0.429293\pi\)
−0.859609 + 0.510953i \(0.829293\pi\)
\(62\) −2.00127 1.72010i −0.254162 0.218453i
\(63\) −4.63591 + 11.2885i −0.584070 + 1.42221i
\(64\) −5.76202 + 5.54969i −0.720253 + 0.693712i
\(65\) 4.49287 + 12.7459i 0.557272 + 1.58093i
\(66\) 3.32102 7.17333i 0.408790 0.882976i
\(67\) 0.983181 3.02592i 0.120115 0.369675i −0.872865 0.487962i \(-0.837740\pi\)
0.992979 + 0.118287i \(0.0377404\pi\)
\(68\) −3.05507 + 1.53263i −0.370481 + 0.185859i
\(69\) 8.00190 + 0.302283i 0.963316 + 0.0363906i
\(70\) −9.95967 8.14083i −1.19041 0.973015i
\(71\) 1.67431 + 5.15300i 0.198704 + 0.611548i 0.999913 + 0.0131640i \(0.00419036\pi\)
−0.801209 + 0.598384i \(0.795810\pi\)
\(72\) −8.48511 0.0539770i −0.999980 0.00636125i
\(73\) −1.58017 + 2.17491i −0.184944 + 0.254554i −0.891415 0.453189i \(-0.850286\pi\)
0.706470 + 0.707743i \(0.250286\pi\)
\(74\) −0.757544 3.19946i −0.0880627 0.371929i
\(75\) 0.101469 + 8.65966i 0.0117166 + 0.999931i
\(76\) 2.34997 + 4.68430i 0.269560 + 0.537326i
\(77\) −10.6201 7.71598i −1.21028 0.879318i
\(78\) 10.0668 10.8550i 1.13984 1.22908i
\(79\) 2.42335 0.787395i 0.272648 0.0885888i −0.169502 0.985530i \(-0.554216\pi\)
0.442150 + 0.896941i \(0.354216\pi\)
\(80\) 2.65973 8.53966i 0.297367 0.954763i
\(81\) −6.40232 6.32537i −0.711369 0.702819i
\(82\) −2.39347 10.1087i −0.264314 1.11632i
\(83\) −5.77909 1.87774i −0.634337 0.206109i −0.0258418 0.999666i \(-0.508227\pi\)
−0.608495 + 0.793557i \(0.708227\pi\)
\(84\) −2.81460 + 13.8072i −0.307098 + 1.50649i
\(85\) 2.16900 3.14618i 0.235261 0.341251i
\(86\) −6.78954 2.83723i −0.732135 0.305947i
\(87\) 2.88903 + 2.27046i 0.309737 + 0.243419i
\(88\) 2.21401 8.85509i 0.236014 0.943956i
\(89\) −4.38993 + 6.04222i −0.465331 + 0.640474i −0.975604 0.219539i \(-0.929545\pi\)
0.510272 + 0.860013i \(0.329545\pi\)
\(90\) 8.34419 4.51382i 0.879554 0.475798i
\(91\) −14.4508 19.8899i −1.51486 2.08502i
\(92\) 9.14143 1.38929i 0.953060 0.144844i
\(93\) −0.881994 3.10932i −0.0914585 0.322421i
\(94\) 4.85349 + 0.397258i 0.500599 + 0.0409740i
\(95\) −4.82401 3.32570i −0.494933 0.341210i
\(96\) −9.63574 + 1.77553i −0.983444 + 0.181214i
\(97\) −14.9322 + 4.85176i −1.51613 + 0.492622i −0.944675 0.328008i \(-0.893623\pi\)
−0.571460 + 0.820630i \(0.693623\pi\)
\(98\) 12.4573 + 5.20569i 1.25838 + 0.525854i
\(99\) 8.23939 5.08343i 0.828090 0.510904i
\(100\) 1.98962 + 9.80007i 0.198962 + 0.980007i
\(101\) 15.8548i 1.57762i 0.614640 + 0.788808i \(0.289301\pi\)
−0.614640 + 0.788808i \(0.710699\pi\)
\(102\) −4.15630 0.498745i −0.411535 0.0493831i
\(103\) 1.20914 + 3.72134i 0.119140 + 0.366674i 0.992788 0.119884i \(-0.0382522\pi\)
−0.873648 + 0.486558i \(0.838252\pi\)
\(104\) 9.06835 14.4912i 0.889225 1.42098i
\(105\) −4.67289 15.0455i −0.456027 1.46829i
\(106\) −0.822642 + 10.0506i −0.0799021 + 0.976201i
\(107\) 20.0414i 1.93748i 0.248083 + 0.968739i \(0.420199\pi\)
−0.248083 + 0.968739i \(0.579801\pi\)
\(108\) −8.63093 5.78852i −0.830512 0.557001i
\(109\) 3.65735 2.65722i 0.350311 0.254516i −0.398688 0.917086i \(-0.630535\pi\)
0.749000 + 0.662571i \(0.230535\pi\)
\(110\) 2.59618 + 9.86929i 0.247536 + 0.941000i
\(111\) 1.38805 3.78007i 0.131748 0.358788i
\(112\) −0.203585 + 16.2698i −0.0192370 + 1.53736i
\(113\) −5.67028 + 4.11970i −0.533415 + 0.387549i −0.821634 0.570016i \(-0.806937\pi\)
0.288218 + 0.957565i \(0.406937\pi\)
\(114\) −0.764721 + 6.37282i −0.0716227 + 0.596869i
\(115\) −8.21058 + 6.28141i −0.765641 + 0.585744i
\(116\) 3.76830 + 1.94984i 0.349878 + 0.181038i
\(117\) 17.6178 4.28603i 1.62877 0.396244i
\(118\) 16.7023 3.95466i 1.53757 0.364056i
\(119\) −2.14820 + 6.61149i −0.196926 + 0.606074i
\(120\) 8.48712 6.92595i 0.774765 0.632250i
\(121\) −0.180988 0.557023i −0.0164534 0.0506385i
\(122\) −4.53717 7.45625i −0.410776 0.675057i
\(123\) 4.38557 11.9432i 0.395433 1.07688i
\(124\) −1.67345 3.33575i −0.150280 0.299560i
\(125\) −7.22420 8.53294i −0.646152 0.763209i
\(126\) −12.2046 + 12.2021i −1.08727 + 1.08705i
\(127\) 17.1586 + 12.4665i 1.52258 + 1.10622i 0.960189 + 0.279350i \(0.0901190\pi\)
0.562393 + 0.826870i \(0.309881\pi\)
\(128\) −10.5448 + 4.09967i −0.932037 + 0.362363i
\(129\) −5.01829 7.48588i −0.441836 0.659095i
\(130\) −1.08749 + 19.0815i −0.0953792 + 1.67356i
\(131\) −0.0295118 + 0.0908279i −0.00257845 + 0.00793567i −0.952337 0.305046i \(-0.901328\pi\)
0.949759 + 0.312982i \(0.101328\pi\)
\(132\) 8.24496 7.54933i 0.717632 0.657085i
\(133\) 10.1373 + 3.29382i 0.879018 + 0.285610i
\(134\) 2.93289 3.41230i 0.253363 0.294778i
\(135\) 11.5734 + 1.02737i 0.996083 + 0.0884219i
\(136\) −4.82216 + 0.334012i −0.413497 + 0.0286413i
\(137\) −11.7801 + 8.55876i −1.00644 + 0.731224i −0.963460 0.267851i \(-0.913686\pi\)
−0.0429837 + 0.999076i \(0.513686\pi\)
\(138\) 10.2766 + 4.75772i 0.874799 + 0.405004i
\(139\) −0.880689 + 1.21216i −0.0746991 + 0.102814i −0.844732 0.535190i \(-0.820240\pi\)
0.770033 + 0.638005i \(0.220240\pi\)
\(140\) −8.55698 16.0535i −0.723196 1.35677i
\(141\) 4.68933 + 3.68529i 0.394913 + 0.310358i
\(142\) −0.625082 + 7.63693i −0.0524557 + 0.640877i
\(143\) 19.5044i 1.63104i
\(144\) −11.0425 4.69720i −0.920207 0.391433i
\(145\) −4.74223 + 0.117335i −0.393820 + 0.00974418i
\(146\) −3.24784 + 1.97633i −0.268793 + 0.163562i
\(147\) 9.20744 + 13.7349i 0.759417 + 1.13284i
\(148\) 0.756109 4.58793i 0.0621518 0.377125i
\(149\) 13.1430i 1.07672i −0.842715 0.538359i \(-0.819044\pi\)
0.842715 0.538359i \(-0.180956\pi\)
\(150\) −4.58954 + 11.3550i −0.374734 + 0.927132i
\(151\) 5.69211i 0.463218i −0.972809 0.231609i \(-0.925601\pi\)
0.972809 0.231609i \(-0.0743989\pi\)
\(152\) 0.512137 + 7.39377i 0.0415398 + 0.599714i
\(153\) −3.90859 3.31787i −0.315991 0.268234i
\(154\) −9.65046 15.8593i −0.777656 1.27798i
\(155\) 3.43524 + 2.36828i 0.275925 + 0.190225i
\(156\) 19.0549 8.67502i 1.52561 0.694558i
\(157\) 6.78163i 0.541233i −0.962687 0.270617i \(-0.912772\pi\)
0.962687 0.270617i \(-0.0872276\pi\)
\(158\) 3.59149 + 0.293964i 0.285724 + 0.0233865i
\(159\) −7.63151 + 9.71068i −0.605218 + 0.770107i
\(160\) 8.12710 9.69279i 0.642504 0.766283i
\(161\) 11.0540 15.2145i 0.871175 1.19907i
\(162\) −4.90506 11.7448i −0.385378 0.922759i
\(163\) −12.0385 + 8.74651i −0.942931 + 0.685079i −0.949124 0.314901i \(-0.898029\pi\)
0.00619340 + 0.999981i \(0.498029\pi\)
\(164\) 2.38893 14.4956i 0.186544 1.13192i
\(165\) −4.01672 + 11.8356i −0.312701 + 0.921398i
\(166\) −6.51703 5.60142i −0.505819 0.434754i
\(167\) −13.2184 4.29493i −1.02287 0.332352i −0.250904 0.968012i \(-0.580728\pi\)
−0.771969 + 0.635660i \(0.780728\pi\)
\(168\) −11.2015 + 16.4818i −0.864213 + 1.27160i
\(169\) −7.27075 + 22.3771i −0.559288 + 1.72131i
\(170\) 4.54580 2.92262i 0.348647 0.224155i
\(171\) −5.08726 + 5.99301i −0.389033 + 0.458297i
\(172\) −7.31233 7.40441i −0.557560 0.564581i
\(173\) 10.6950 + 7.77036i 0.813125 + 0.590770i 0.914735 0.404055i \(-0.132399\pi\)
−0.101610 + 0.994824i \(0.532399\pi\)
\(174\) 2.53176 + 4.53797i 0.191932 + 0.344023i
\(175\) 17.0256 + 11.1265i 1.28701 + 0.841085i
\(176\) 7.71749 10.3474i 0.581728 0.779967i
\(177\) 19.7333 + 7.24614i 1.48325 + 0.544653i
\(178\) −9.02296 + 5.49053i −0.676299 + 0.411532i
\(179\) −2.57158 7.91451i −0.192209 0.591559i −0.999998 0.00208652i \(-0.999336\pi\)
0.807789 0.589472i \(-0.200664\pi\)
\(180\) 13.3493 1.34000i 0.995000 0.0998775i
\(181\) 2.91403 8.96846i 0.216598 0.666621i −0.782438 0.622728i \(-0.786024\pi\)
0.999036 0.0438922i \(-0.0139758\pi\)
\(182\) −8.01081 33.8333i −0.593800 2.50789i
\(183\) 0.403535 10.6822i 0.0298302 0.789651i
\(184\) 12.6859 + 3.17181i 0.935215 + 0.233829i
\(185\) 1.72828 + 4.90296i 0.127065 + 0.360473i
\(186\) 0.544568 4.53817i 0.0399297 0.332755i
\(187\) 4.46179 3.24168i 0.326278 0.237055i
\(188\) 6.11652 + 3.16488i 0.446093 + 0.230823i
\(189\) −20.7117 + 4.21754i −1.50656 + 0.306781i
\(190\) −4.48123 6.97002i −0.325103 0.505659i
\(191\) 2.50622 1.82087i 0.181343 0.131754i −0.493410 0.869797i \(-0.664250\pi\)
0.674754 + 0.738043i \(0.264250\pi\)
\(192\) −13.5415 2.93736i −0.977273 0.211986i
\(193\) 8.14234i 0.586099i 0.956097 + 0.293049i \(0.0946700\pi\)
−0.956097 + 0.293049i \(0.905330\pi\)
\(194\) −22.1301 1.81134i −1.58885 0.130047i
\(195\) −14.0042 + 18.7566i −1.00286 + 1.34319i
\(196\) 13.4165 + 13.5854i 0.958322 + 0.970389i
\(197\) 1.43924 + 4.42952i 0.102541 + 0.315590i 0.989146 0.146939i \(-0.0469421\pi\)
−0.886604 + 0.462529i \(0.846942\pi\)
\(198\) 13.5232 2.14040i 0.961050 0.152112i
\(199\) 14.7455i 1.04528i −0.852553 0.522641i \(-0.824947\pi\)
0.852553 0.522641i \(-0.175053\pi\)
\(200\) −2.74760 + 13.8727i −0.194285 + 0.980945i
\(201\) 5.30160 1.50386i 0.373946 0.106074i
\(202\) −8.64534 + 20.6884i −0.608284 + 1.45563i
\(203\) 8.20717 2.66667i 0.576031 0.187164i
\(204\) −5.15145 2.91714i −0.360674 0.204241i
\(205\) 5.46051 + 15.4910i 0.381378 + 1.08194i
\(206\) −0.451415 + 5.51516i −0.0314516 + 0.384259i
\(207\) 7.28256 + 11.8038i 0.506173 + 0.820421i
\(208\) 19.7347 13.9642i 1.36836 0.968244i
\(209\) −4.97043 6.84121i −0.343812 0.473217i
\(210\) 2.10653 22.1803i 0.145364 1.53059i
\(211\) −11.4404 + 15.7463i −0.787587 + 1.08402i 0.206817 + 0.978380i \(0.433690\pi\)
−0.994404 + 0.105641i \(0.966310\pi\)
\(212\) −6.55384 + 12.6661i −0.450119 + 0.869912i
\(213\) −5.79878 + 7.37863i −0.397326 + 0.505576i
\(214\) −10.9282 + 26.1513i −0.747036 + 1.78767i
\(215\) 11.1509 + 3.32056i 0.760487 + 0.226460i
\(216\) −8.10582 12.2595i −0.551531 0.834154i
\(217\) −7.21893 2.34557i −0.490053 0.159228i
\(218\) 6.22128 1.47303i 0.421358 0.0997662i
\(219\) −4.65302 0.175774i −0.314422 0.0118777i
\(220\) −1.99387 + 14.2937i −0.134427 + 0.963683i
\(221\) 9.82333 3.19179i 0.660789 0.214703i
\(222\) 3.87242 4.17559i 0.259900 0.280247i
\(223\) −10.2193 7.42479i −0.684338 0.497200i 0.190456 0.981696i \(-0.439003\pi\)
−0.874794 + 0.484495i \(0.839003\pi\)
\(224\) −9.13728 + 21.1189i −0.610510 + 1.41107i
\(225\) −12.3607 + 8.49780i −0.824048 + 0.566520i
\(226\) −9.64534 + 2.28375i −0.641598 + 0.151913i
\(227\) 13.7837 18.9716i 0.914856 1.25919i −0.0506254 0.998718i \(-0.516121\pi\)
0.965481 0.260473i \(-0.0838785\pi\)
\(228\) −4.47283 + 7.89867i −0.296220 + 0.523102i
\(229\) 2.96567 + 9.12739i 0.195977 + 0.603155i 0.999964 + 0.00850807i \(0.00270824\pi\)
−0.803987 + 0.594647i \(0.797292\pi\)
\(230\) −14.1388 + 3.71931i −0.932286 + 0.245244i
\(231\) 0.858309 22.7208i 0.0564726 1.49492i
\(232\) 3.85391 + 4.59905i 0.253022 + 0.301943i
\(233\) 3.17857 9.78263i 0.208235 0.640881i −0.791330 0.611389i \(-0.790611\pi\)
0.999565 0.0294921i \(-0.00938898\pi\)
\(234\) 25.3259 + 4.01396i 1.65561 + 0.262401i
\(235\) −7.69734 + 0.190453i −0.502119 + 0.0124238i
\(236\) 23.9507 + 3.94716i 1.55905 + 0.256939i
\(237\) 3.47002 + 2.72705i 0.225402 + 0.177141i
\(238\) −6.40823 + 7.45572i −0.415384 + 0.483283i
\(239\) 23.5392 + 17.1022i 1.52262 + 1.10625i 0.960169 + 0.279421i \(0.0901425\pi\)
0.562453 + 0.826829i \(0.309858\pi\)
\(240\) 14.8511 4.40955i 0.958636 0.284635i
\(241\) 19.3133 14.0319i 1.24408 0.903876i 0.246216 0.969215i \(-0.420813\pi\)
0.997863 + 0.0653387i \(0.0208128\pi\)
\(242\) 0.0675695 0.825529i 0.00434353 0.0530670i
\(243\) 2.92553 15.3115i 0.187673 0.982232i
\(244\) −1.85465 12.2034i −0.118732 0.781244i
\(245\) −20.4595 6.09249i −1.30711 0.389235i
\(246\) 12.2349 13.1928i 0.780071 0.841144i
\(247\) −4.89395 15.0620i −0.311394 0.958374i
\(248\) −0.364699 5.26520i −0.0231584 0.334341i
\(249\) −2.87216 10.1253i −0.182016 0.641666i
\(250\) −4.77375 15.0735i −0.301918 0.953334i
\(251\) 15.2271 0.961129 0.480564 0.876959i \(-0.340432\pi\)
0.480564 + 0.876959i \(0.340432\pi\)
\(252\) −22.5789 + 9.26707i −1.42234 + 0.583771i
\(253\) −14.1894 + 4.61042i −0.892080 + 0.289854i
\(254\) 15.5919 + 25.6233i 0.978326 + 1.60775i
\(255\) 6.61827 + 0.0861798i 0.414452 + 0.00539679i
\(256\) −15.9950 0.400355i −0.999687 0.0250222i
\(257\) 14.0885 0.878814 0.439407 0.898288i \(-0.355189\pi\)
0.439407 + 0.898288i \(0.355189\pi\)
\(258\) −2.46628 12.5044i −0.153544 0.778492i
\(259\) −5.55881 7.65104i −0.345408 0.475413i
\(260\) −11.8238 + 24.3058i −0.733281 + 1.50738i
\(261\) −0.480156 + 6.34617i −0.0297209 + 0.392818i
\(262\) −0.0880355 + 0.102426i −0.00543885 + 0.00632789i
\(263\) −15.1053 20.7907i −0.931436 1.28201i −0.959297 0.282399i \(-0.908870\pi\)
0.0278614 0.999612i \(-0.491130\pi\)
\(264\) 14.8750 5.35503i 0.915496 0.329579i
\(265\) −0.394390 15.9397i −0.0242272 0.979166i
\(266\) 11.4318 + 9.82568i 0.700928 + 0.602451i
\(267\) −12.9268 0.488326i −0.791105 0.0298851i
\(268\) 5.68769 2.85334i 0.347431 0.174296i
\(269\) −4.54996 1.47837i −0.277416 0.0901379i 0.167005 0.985956i \(-0.446590\pi\)
−0.444421 + 0.895818i \(0.646590\pi\)
\(270\) 14.5416 + 7.65135i 0.884971 + 0.465646i
\(271\) 28.4163 9.23302i 1.72617 0.560866i 0.733281 0.679925i \(-0.237988\pi\)
0.992887 + 0.119059i \(0.0379878\pi\)
\(272\) −6.47439 2.19359i −0.392568 0.133006i
\(273\) 14.6782 39.9731i 0.888368 2.41928i
\(274\) −20.0384 + 4.74454i −1.21056 + 0.286628i
\(275\) −5.73901 15.0805i −0.346075 0.909389i
\(276\) 10.8152 + 11.8118i 0.651000 + 0.710986i
\(277\) 3.46129 4.76406i 0.207969 0.286245i −0.692272 0.721637i \(-0.743390\pi\)
0.900241 + 0.435392i \(0.143390\pi\)
\(278\) −1.81015 + 1.10149i −0.108566 + 0.0660628i
\(279\) 3.62271 4.26770i 0.216886 0.255501i
\(280\) −2.41203 25.6136i −0.144146 1.53070i
\(281\) 16.7821 + 5.45282i 1.00113 + 0.325288i 0.763319 0.646022i \(-0.223569\pi\)
0.237815 + 0.971310i \(0.423569\pi\)
\(282\) 4.10942 + 7.36581i 0.244713 + 0.438627i
\(283\) −1.15511 + 3.55506i −0.0686641 + 0.211326i −0.979501 0.201441i \(-0.935438\pi\)
0.910837 + 0.412767i \(0.135438\pi\)
\(284\) −4.97991 + 9.62430i −0.295504 + 0.571097i
\(285\) 0.132139 10.1477i 0.00782722 0.601100i
\(286\) −10.6354 + 25.4505i −0.628882 + 1.50492i
\(287\) −17.5631 24.1736i −1.03672 1.42692i
\(288\) −11.8476 12.1505i −0.698129 0.715972i
\(289\) 11.3905 + 8.27566i 0.670028 + 0.486804i
\(290\) −6.25194 2.43274i −0.367126 0.142855i
\(291\) −21.3816 16.8035i −1.25341 0.985040i
\(292\) −5.31564 + 0.807858i −0.311074 + 0.0472763i
\(293\) −9.16625 −0.535498 −0.267749 0.963489i \(-0.586280\pi\)
−0.267749 + 0.963489i \(0.586280\pi\)
\(294\) 4.52507 + 22.9428i 0.263908 + 1.33805i
\(295\) −25.5953 + 9.02223i −1.49021 + 0.525295i
\(296\) 3.48833 5.57433i 0.202755 0.324001i
\(297\) 15.2600 + 6.95122i 0.885474 + 0.403351i
\(298\) 7.16664 17.1499i 0.415152 0.993465i
\(299\) −27.9421 −1.61593
\(300\) −12.1804 + 12.3141i −0.703235 + 0.710958i
\(301\) −21.1657 −1.21997
\(302\) 3.10380 7.42743i 0.178604 0.427401i
\(303\) −22.8102 + 15.2912i −1.31041 + 0.878458i
\(304\) −3.36341 + 9.92712i −0.192905 + 0.569359i
\(305\) 8.38541 + 10.9608i 0.480147 + 0.627612i
\(306\) −3.29101 6.46065i −0.188135 0.369331i
\(307\) −7.15824 −0.408542 −0.204271 0.978914i \(-0.565482\pi\)
−0.204271 + 0.978914i \(0.565482\pi\)
\(308\) −3.94479 25.9564i −0.224775 1.47900i
\(309\) −4.18770 + 5.32862i −0.238230 + 0.303135i
\(310\) 3.19114 + 4.96345i 0.181245 + 0.281905i
\(311\) −9.07531 6.59360i −0.514614 0.373889i 0.299957 0.953953i \(-0.403028\pi\)
−0.814571 + 0.580064i \(0.803028\pi\)
\(312\) 29.5943 0.929481i 1.67545 0.0526215i
\(313\) 1.45676 + 2.00506i 0.0823408 + 0.113332i 0.848200 0.529675i \(-0.177686\pi\)
−0.765860 + 0.643008i \(0.777686\pi\)
\(314\) 3.69789 8.84911i 0.208684 0.499384i
\(315\) 17.1390 21.2335i 0.965675 1.19637i
\(316\) 4.52612 + 2.34195i 0.254614 + 0.131745i
\(317\) 4.13848 12.7369i 0.232440 0.715377i −0.765011 0.644018i \(-0.777266\pi\)
0.997451 0.0713591i \(-0.0227336\pi\)
\(318\) −15.2531 + 8.50980i −0.855353 + 0.477206i
\(319\) −6.51106 2.11557i −0.364549 0.118449i
\(320\) 15.8900 8.21622i 0.888281 0.459301i
\(321\) −28.8334 + 19.3290i −1.60932 + 1.07884i
\(322\) 22.7201 13.8253i 1.26614 0.770455i
\(323\) −2.63218 + 3.62288i −0.146458 + 0.201582i
\(324\) 0.00378353 18.0000i 0.000210196 1.00000i
\(325\) −1.49451 30.1825i −0.0829003 1.67422i
\(326\) −20.4780 + 4.84862i −1.13417 + 0.268540i
\(327\) 7.35027 + 2.69904i 0.406471 + 0.149257i
\(328\) 11.0214 17.6122i 0.608555 0.972469i
\(329\) 13.3215 4.32841i 0.734437 0.238633i
\(330\) −11.6950 + 13.2536i −0.643787 + 0.729585i
\(331\) 23.4234 + 7.61073i 1.28747 + 0.418324i 0.871205 0.490920i \(-0.163339\pi\)
0.416264 + 0.909244i \(0.363339\pi\)
\(332\) −5.44949 10.8627i −0.299079 0.596168i
\(333\) 6.77706 1.64871i 0.371381 0.0903488i
\(334\) −14.9063 12.8121i −0.815637 0.701044i
\(335\) −4.03807 + 5.85732i −0.220623 + 0.320019i
\(336\) −23.6036 + 15.3986i −1.28768 + 0.840061i
\(337\) 6.30910 + 8.68373i 0.343678 + 0.473033i 0.945511 0.325589i \(-0.105563\pi\)
−0.601833 + 0.798622i \(0.705563\pi\)
\(338\) −21.6891 + 25.2344i −1.17973 + 1.37257i
\(339\) −11.3957 4.18454i −0.618929 0.227273i
\(340\) 7.52529 1.33489i 0.408116 0.0723947i
\(341\) 3.53951 + 4.87172i 0.191675 + 0.263818i
\(342\) −9.90605 + 5.04607i −0.535658 + 0.272860i
\(343\) 10.3599 0.559381
\(344\) −5.50412 13.6490i −0.296762 0.735906i
\(345\) −16.9557 5.75438i −0.912865 0.309805i
\(346\) 9.71847 + 15.9710i 0.522468 + 0.858608i
\(347\) 14.7741 4.80040i 0.793116 0.257699i 0.115685 0.993286i \(-0.463094\pi\)
0.677430 + 0.735587i \(0.263094\pi\)
\(348\) 0.829131 + 7.30195i 0.0444461 + 0.391426i
\(349\) 2.25215 0.120555 0.0602774 0.998182i \(-0.480801\pi\)
0.0602774 + 0.998182i \(0.480801\pi\)
\(350\) 16.1490 + 23.8023i 0.863202 + 1.27229i
\(351\) 23.1578 + 21.2129i 1.23607 + 1.13226i
\(352\) 15.7125 9.29379i 0.837480 0.495361i
\(353\) −1.24018 3.81687i −0.0660079 0.203151i 0.912613 0.408825i \(-0.134061\pi\)
−0.978621 + 0.205674i \(0.934061\pi\)
\(354\) 21.7981 + 20.2154i 1.15856 + 1.07444i
\(355\) −0.299677 12.1117i −0.0159052 0.642823i
\(356\) −14.7676 + 2.24435i −0.782682 + 0.118950i
\(357\) −11.5837 + 3.28586i −0.613076 + 0.173906i
\(358\) 0.960067 11.7296i 0.0507411 0.619928i
\(359\) −1.12195 + 0.815144i −0.0592142 + 0.0430216i −0.616999 0.786964i \(-0.711652\pi\)
0.557784 + 0.829986i \(0.311652\pi\)
\(360\) 18.1497 + 5.53061i 0.956574 + 0.291489i
\(361\) −9.81640 7.13203i −0.516653 0.375370i
\(362\) 8.69274 10.1137i 0.456880 0.531562i
\(363\) 0.626831 0.797608i 0.0329001 0.0418635i
\(364\) 7.99563 48.5160i 0.419085 2.54293i
\(365\) 4.77437 3.65257i 0.249902 0.191184i
\(366\) 6.35136 13.7188i 0.331991 0.717092i
\(367\) 2.19066 6.74216i 0.114352 0.351938i −0.877460 0.479650i \(-0.840763\pi\)
0.991811 + 0.127712i \(0.0407635\pi\)
\(368\) 14.8238 + 11.0561i 0.772744 + 0.576341i
\(369\) 21.4122 5.20912i 1.11467 0.271176i
\(370\) −0.418326 + 7.34009i −0.0217477 + 0.381593i
\(371\) 8.96328 + 27.5861i 0.465350 + 1.43220i
\(372\) 3.18516 5.62475i 0.165143 0.291630i
\(373\) −22.1263 + 30.4542i −1.14566 + 1.57686i −0.391479 + 0.920187i \(0.628037\pi\)
−0.754176 + 0.656672i \(0.771963\pi\)
\(374\) 7.58965 1.79702i 0.392451 0.0929218i
\(375\) 5.30887 18.6230i 0.274149 0.961687i
\(376\) 6.25548 + 7.46496i 0.322602 + 0.384976i
\(377\) −10.3730 7.53643i −0.534237 0.388146i
\(378\) −29.3257 5.79039i −1.50835 0.297826i
\(379\) 20.7567 6.74427i 1.06620 0.346430i 0.277194 0.960814i \(-0.410595\pi\)
0.789007 + 0.614384i \(0.210595\pi\)
\(380\) −2.04678 11.5385i −0.104997 0.591910i
\(381\) −1.38674 + 36.7093i −0.0710450 + 1.88067i
\(382\) 4.26316 1.00940i 0.218122 0.0516454i
\(383\) −17.3235 5.62875i −0.885190 0.287616i −0.169080 0.985602i \(-0.554079\pi\)
−0.716111 + 0.697987i \(0.754079\pi\)
\(384\) −16.0681 11.2168i −0.819972 0.572403i
\(385\) 17.8356 + 23.3133i 0.908985 + 1.18816i
\(386\) −4.43986 + 10.6246i −0.225983 + 0.540780i
\(387\) 5.92998 14.4395i 0.301438 0.734003i
\(388\) −27.8890 14.4306i −1.41585 0.732605i
\(389\) −2.05265 + 2.82523i −0.104074 + 0.143245i −0.857877 0.513855i \(-0.828217\pi\)
0.753804 + 0.657100i \(0.228217\pi\)
\(390\) −28.5012 + 16.8386i −1.44322 + 0.852657i
\(391\) 4.64405 + 6.39199i 0.234860 + 0.323257i
\(392\) 10.0988 + 25.0429i 0.510068 + 1.26486i
\(393\) −0.159136 + 0.0451408i −0.00802735 + 0.00227705i
\(394\) −0.537321 + 6.56470i −0.0270698 + 0.330725i
\(395\) −5.69590 + 0.140932i −0.286592 + 0.00709105i
\(396\) 18.8130 + 4.58099i 0.945390 + 0.230203i
\(397\) −9.49933 + 3.08652i −0.476758 + 0.154908i −0.537532 0.843244i \(-0.680643\pi\)
0.0607739 + 0.998152i \(0.480643\pi\)
\(398\) 8.04044 19.2409i 0.403031 0.964459i
\(399\) 5.03818 + 17.7612i 0.252224 + 0.889174i
\(400\) −11.1497 + 16.6037i −0.557487 + 0.830186i
\(401\) 23.7168i 1.18436i −0.805806 0.592180i \(-0.798268\pi\)
0.805806 0.592180i \(-0.201732\pi\)
\(402\) 7.73788 + 0.928526i 0.385931 + 0.0463107i
\(403\) 3.48505 + 10.7259i 0.173603 + 0.534294i
\(404\) −22.5620 + 22.2814i −1.12250 + 1.10854i
\(405\) 9.68395 + 17.6415i 0.481200 + 0.876611i
\(406\) 12.1633 + 0.995568i 0.603656 + 0.0494092i
\(407\) 7.50276i 0.371898i
\(408\) −5.13128 6.61546i −0.254036 0.327514i
\(409\) 18.7930 13.6539i 0.929255 0.675143i −0.0165551 0.999863i \(-0.505270\pi\)
0.945810 + 0.324719i \(0.105270\pi\)
\(410\) −1.32170 + 23.1911i −0.0652743 + 1.14533i
\(411\) −23.6748 8.69345i −1.16779 0.428816i
\(412\) −3.59634 + 6.95038i −0.177179 + 0.342421i
\(413\) 39.9412 29.0190i 1.96538 1.42793i
\(414\) 3.06636 + 19.3734i 0.150703 + 0.952151i
\(415\) 11.1867 + 7.71216i 0.549132 + 0.378575i
\(416\) 33.3655 7.46044i 1.63588 0.365778i
\(417\) −2.59331 0.0979660i −0.126995 0.00479741i
\(418\) −2.75536 11.6371i −0.134769 0.569191i
\(419\) −0.428622 + 1.31916i −0.0209395 + 0.0644453i −0.960980 0.276617i \(-0.910787\pi\)
0.940041 + 0.341062i \(0.110787\pi\)
\(420\) 14.8432 27.7937i 0.724275 1.35619i
\(421\) −5.56178 17.1174i −0.271065 0.834251i −0.990234 0.139416i \(-0.955477\pi\)
0.719169 0.694835i \(-0.244523\pi\)
\(422\) −23.5143 + 14.3086i −1.14466 + 0.696531i
\(423\) −0.779365 + 10.3008i −0.0378940 + 0.500842i
\(424\) −15.4584 + 12.9539i −0.750728 + 0.629095i
\(425\) −6.65610 + 5.35829i −0.322868 + 0.259915i
\(426\) −11.5900 + 6.46615i −0.561539 + 0.313286i
\(427\) −20.3107 14.7566i −0.982903 0.714121i
\(428\) −28.5196 + 28.1650i −1.37855 + 1.36141i
\(429\) −28.0608 + 18.8110i −1.35479 + 0.908205i
\(430\) 12.7398 + 10.4133i 0.614368 + 0.502172i
\(431\) 8.05614 24.7943i 0.388051 1.19430i −0.546192 0.837660i \(-0.683923\pi\)
0.934243 0.356637i \(-0.116077\pi\)
\(432\) −3.89212 20.4169i −0.187260 0.982310i
\(433\) −7.91328 2.57118i −0.380288 0.123563i 0.112634 0.993637i \(-0.464071\pi\)
−0.492922 + 0.870073i \(0.664071\pi\)
\(434\) −8.14073 6.99700i −0.390767 0.335867i
\(435\) −4.74246 6.70943i −0.227383 0.321693i
\(436\) 8.92114 + 1.47024i 0.427245 + 0.0704117i
\(437\) 9.80077 7.12068i 0.468835 0.340628i
\(438\) −5.97571 2.76656i −0.285531 0.132191i
\(439\) −5.42747 + 7.47027i −0.259039 + 0.356537i −0.918651 0.395069i \(-0.870721\pi\)
0.659612 + 0.751606i \(0.270721\pi\)
\(440\) −10.3958 + 17.5642i −0.495601 + 0.837338i
\(441\) −10.8802 + 26.4933i −0.518104 + 1.26159i
\(442\) 14.5585 + 1.19162i 0.692479 + 0.0566794i
\(443\) 9.13686i 0.434105i 0.976160 + 0.217053i \(0.0696444\pi\)
−0.976160 + 0.217053i \(0.930356\pi\)
\(444\) 7.32984 3.33703i 0.347859 0.158368i
\(445\) 13.2639 10.1474i 0.628768 0.481031i
\(446\) −9.28626 15.2607i −0.439717 0.722617i
\(447\) 18.9088 12.6758i 0.894354 0.599545i
\(448\) −23.4386 + 22.5749i −1.10737 + 1.06656i
\(449\) 4.35202i 0.205384i −0.994713 0.102692i \(-0.967254\pi\)
0.994713 0.102692i \(-0.0327457\pi\)
\(450\) −20.7627 + 4.34842i −0.978765 + 0.204986i
\(451\) 23.7050i 1.11623i
\(452\) −13.8311 2.27943i −0.650562 0.107215i
\(453\) 8.18920 5.48977i 0.384762 0.257932i
\(454\) 28.3307 17.2394i 1.32963 0.809085i
\(455\) 18.2760 + 51.8474i 0.856792 + 2.43064i
\(456\) −10.1434 + 7.86774i −0.475009 + 0.368441i
\(457\) 8.13030i 0.380319i 0.981753 + 0.190160i \(0.0609006\pi\)
−0.981753 + 0.190160i \(0.939099\pi\)
\(458\) −1.10719 + 13.5271i −0.0517358 + 0.632081i
\(459\) 1.00375 8.82319i 0.0468508 0.411831i
\(460\) −20.4773 2.85643i −0.954759 0.133182i
\(461\) −15.7995 + 21.7462i −0.735857 + 1.01282i 0.262989 + 0.964799i \(0.415292\pi\)
−0.998846 + 0.0480215i \(0.984708\pi\)
\(462\) 13.5092 29.1795i 0.628504 1.35755i
\(463\) 16.2070 11.7751i 0.753205 0.547235i −0.143614 0.989634i \(-0.545872\pi\)
0.896819 + 0.442399i \(0.145872\pi\)
\(464\) 2.52106 + 8.10260i 0.117037 + 0.376154i
\(465\) −0.0940977 + 7.22634i −0.00436368 + 0.335113i
\(466\) 9.48187 11.0318i 0.439239 0.511038i
\(467\) −2.65359 0.862205i −0.122794 0.0398981i 0.246976 0.969022i \(-0.420563\pi\)
−0.369769 + 0.929124i \(0.620563\pi\)
\(468\) 30.8582 + 19.0474i 1.42642 + 0.880467i
\(469\) 3.99936 12.3088i 0.184673 0.568366i
\(470\) −10.1478 3.94870i −0.468085 0.182140i
\(471\) 9.75668 6.54056i 0.449564 0.301373i
\(472\) 29.1000 + 18.2103i 1.33944 + 0.838199i
\(473\) 13.5846 + 9.86982i 0.624622 + 0.453815i
\(474\) 3.04090 + 5.45057i 0.139673 + 0.250353i
\(475\) 8.21581 + 10.2057i 0.376967 + 0.468271i
\(476\) −12.4273 + 6.23442i −0.569606 + 0.285754i
\(477\) −21.3309 1.61391i −0.976674 0.0738959i
\(478\) 21.3899 + 35.1515i 0.978351 + 1.60779i
\(479\) 6.48938 + 19.9722i 0.296507 + 0.912555i 0.982711 + 0.185146i \(0.0592758\pi\)
−0.686204 + 0.727409i \(0.740724\pi\)
\(480\) 21.7831 + 2.34416i 0.994259 + 0.106996i
\(481\) −4.34215 + 13.3638i −0.197985 + 0.609335i
\(482\) 32.8526 7.77859i 1.49639 0.354305i
\(483\) 32.5500 + 1.22962i 1.48107 + 0.0559496i
\(484\) 0.538314 1.04036i 0.0244688 0.0472890i
\(485\) 35.0970 0.868393i 1.59367 0.0394317i
\(486\) 12.1665 18.3842i 0.551882 0.833922i
\(487\) −3.99489 + 2.90246i −0.181026 + 0.131523i −0.674608 0.738176i \(-0.735687\pi\)
0.493582 + 0.869699i \(0.335687\pi\)
\(488\) 4.23423 16.9351i 0.191674 0.766616i
\(489\) −24.1941 8.88416i −1.09410 0.401755i
\(490\) −23.3747 19.1060i −1.05596 0.863122i
\(491\) −13.3366 + 9.68959i −0.601871 + 0.437285i −0.846543 0.532321i \(-0.821320\pi\)
0.244671 + 0.969606i \(0.421320\pi\)
\(492\) 23.1587 10.5434i 1.04408 0.475332i
\(493\) 3.62548i 0.163284i
\(494\) 1.82709 22.3225i 0.0822048 1.00433i
\(495\) −20.9017 + 5.63601i −0.939460 + 0.253320i
\(496\) 2.39513 7.06924i 0.107544 0.317418i
\(497\) 6.81072 + 20.9612i 0.305503 + 0.940241i
\(498\) 1.77336 14.7783i 0.0794660 0.662231i
\(499\) 29.5012i 1.32066i 0.750978 + 0.660328i \(0.229583\pi\)
−0.750978 + 0.660328i \(0.770417\pi\)
\(500\) 1.99021 22.2719i 0.0890049 0.996031i
\(501\) −6.56946 23.1595i −0.293502 1.03469i
\(502\) 19.8693 + 8.30306i 0.886812 + 0.370584i
\(503\) 15.6724 5.09227i 0.698798 0.227053i 0.0619914 0.998077i \(-0.480255\pi\)
0.636807 + 0.771023i \(0.280255\pi\)
\(504\) −34.5155 0.219566i −1.53744 0.00978026i
\(505\) 10.1181 33.9780i 0.450248 1.51200i
\(506\) −21.0292 1.72124i −0.934862 0.0765184i
\(507\) −39.2060 + 11.1212i −1.74120 + 0.493911i
\(508\) 6.37347 + 41.9369i 0.282777 + 1.86065i
\(509\) −3.01849 4.15459i −0.133792 0.184149i 0.736864 0.676041i \(-0.236306\pi\)
−0.870656 + 0.491892i \(0.836306\pi\)
\(510\) 8.58895 + 3.72127i 0.380325 + 0.164781i
\(511\) −6.42776 + 8.84706i −0.284348 + 0.391371i
\(512\) −20.6530 9.24416i −0.912741 0.408538i
\(513\) −13.5285 1.53903i −0.597298 0.0679500i
\(514\) 18.3835 + 7.68217i 0.810863 + 0.338846i
\(515\) −0.216417 8.74671i −0.00953648 0.385426i
\(516\) 3.60026 17.6614i 0.158493 0.777499i
\(517\) −10.5684 3.43389i −0.464799 0.151022i
\(518\) −3.08152 13.0147i −0.135394 0.571832i
\(519\) −0.864358 + 22.8809i −0.0379411 + 1.00436i
\(520\) −28.6819 + 25.2684i −1.25778 + 1.10809i
\(521\) −2.25435 + 0.732482i −0.0987648 + 0.0320906i −0.357983 0.933728i \(-0.616535\pi\)
0.259218 + 0.965819i \(0.416535\pi\)
\(522\) −4.08698 + 8.01907i −0.178882 + 0.350985i
\(523\) −28.8397 20.9533i −1.26107 0.916222i −0.262262 0.964997i \(-0.584468\pi\)
−0.998810 + 0.0487748i \(0.984468\pi\)
\(524\) −0.170725 + 0.0856477i −0.00745816 + 0.00374154i
\(525\) 0.412753 + 35.2256i 0.0180140 + 1.53737i
\(526\) −8.37364 35.3657i −0.365108 1.54202i
\(527\) 1.87441 2.57990i 0.0816505 0.112382i
\(528\) 22.3299 + 1.12349i 0.971784 + 0.0488936i
\(529\) 0.502477 + 1.54647i 0.0218468 + 0.0672376i
\(530\) 8.17697 21.0142i 0.355185 0.912796i
\(531\) 8.60687 + 35.3787i 0.373507 + 1.53531i
\(532\) 9.55917 + 19.0547i 0.414443 + 0.826126i
\(533\) −13.7191 + 42.2230i −0.594239 + 1.82888i
\(534\) −16.6014 7.68591i −0.718412 0.332602i
\(535\) 12.7898 42.9501i 0.552952 1.85690i
\(536\) 8.97753 0.621837i 0.387770 0.0268593i
\(537\) 8.90638 11.3329i 0.384339 0.489050i
\(538\) −5.13095 4.41008i −0.221211 0.190132i
\(539\) −24.9248 18.1089i −1.07359 0.780006i
\(540\) 14.8026 + 17.9132i 0.637003 + 0.770861i
\(541\) 18.3009 13.2964i 0.786819 0.571657i −0.120199 0.992750i \(-0.538353\pi\)
0.907018 + 0.421092i \(0.138353\pi\)
\(542\) 42.1140 + 3.44703i 1.80895 + 0.148063i
\(543\) 15.7133 4.45726i 0.674322 0.191279i
\(544\) −7.25208 6.39270i −0.310930 0.274085i
\(545\) −9.53372 + 3.36060i −0.408380 + 0.143952i
\(546\) 40.9496 44.1557i 1.75248 1.88969i
\(547\) 10.9627 + 33.7396i 0.468729 + 1.44260i 0.854231 + 0.519894i \(0.174028\pi\)
−0.385501 + 0.922707i \(0.625972\pi\)
\(548\) −28.7345 4.73555i −1.22748 0.202293i
\(549\) 15.7576 9.72191i 0.672517 0.414921i
\(550\) 0.734483 22.8074i 0.0313184 0.972509i
\(551\) 5.55892 0.236818
\(552\) 7.67166 + 21.3101i 0.326527 + 0.907018i
\(553\) 9.85766 3.20295i 0.419190 0.136203i
\(554\) 7.11426 4.32907i 0.302256 0.183925i
\(555\) −5.38701 + 7.21513i −0.228666 + 0.306265i
\(556\) −2.96262 + 0.450251i −0.125643 + 0.0190949i
\(557\) −15.8708 −0.672466 −0.336233 0.941779i \(-0.609153\pi\)
−0.336233 + 0.941779i \(0.609153\pi\)
\(558\) 7.05423 3.59338i 0.298630 0.152120i
\(559\) 18.4846 + 25.4419i 0.781816 + 1.07608i
\(560\) 10.8192 34.7374i 0.457195 1.46793i
\(561\) 8.96695 + 3.29269i 0.378585 + 0.139018i
\(562\) 18.9250 + 16.2661i 0.798303 + 0.686145i
\(563\) 11.9500 + 16.4477i 0.503632 + 0.693190i 0.982829 0.184517i \(-0.0590722\pi\)
−0.479197 + 0.877707i \(0.659072\pi\)
\(564\) 1.34580 + 11.8522i 0.0566686 + 0.499066i
\(565\) 14.7809 5.21020i 0.621836 0.219195i
\(566\) −3.44576 + 4.00901i −0.144836 + 0.168511i
\(567\) −26.0432 25.7302i −1.09371 1.08057i
\(568\) −11.7461 + 9.84295i −0.492854 + 0.413001i
\(569\) 0.353267 + 0.114783i 0.0148097 + 0.00481197i 0.316412 0.948622i \(-0.397522\pi\)
−0.301603 + 0.953434i \(0.597522\pi\)
\(570\) 5.70578 13.1694i 0.238989 0.551604i
\(571\) 1.76725 0.574214i 0.0739571 0.0240301i −0.271805 0.962352i \(-0.587620\pi\)
0.345762 + 0.938322i \(0.387620\pi\)
\(572\) −27.7554 + 27.4102i −1.16051 + 1.14608i
\(573\) 5.03680 + 1.84953i 0.210415 + 0.0772651i
\(574\) −9.73610 41.1200i −0.406377 1.71632i
\(575\) 21.6044 8.22174i 0.900967 0.342870i
\(576\) −8.83415 22.3150i −0.368090 0.929790i
\(577\) −7.63108 + 10.5033i −0.317686 + 0.437257i −0.937759 0.347287i \(-0.887103\pi\)
0.620073 + 0.784544i \(0.287103\pi\)
\(578\) 10.3505 + 17.0096i 0.430522 + 0.707507i
\(579\) −11.7143 + 7.85290i −0.486831 + 0.326355i
\(580\) −6.83140 6.58345i −0.283659 0.273363i
\(581\) −23.5080 7.63823i −0.975278 0.316887i
\(582\) −18.7374 33.5853i −0.776690 1.39215i
\(583\) 7.11091 21.8851i 0.294504 0.906389i
\(584\) −7.37670 1.84437i −0.305250 0.0763206i
\(585\) −40.4914 2.05789i −1.67411 0.0850832i
\(586\) −11.9607 4.99818i −0.494092 0.206473i
\(587\) 20.1814 + 27.7773i 0.832974 + 1.14649i 0.987362 + 0.158480i \(0.0506594\pi\)
−0.154388 + 0.988010i \(0.549341\pi\)
\(588\) −6.60568 + 32.4047i −0.272414 + 1.33635i
\(589\) −3.95574 2.87401i −0.162993 0.118422i
\(590\) −38.3180 2.18381i −1.57753 0.0899061i
\(591\) −4.98463 + 6.34267i −0.205040 + 0.260903i
\(592\) 7.59137 5.37162i 0.312003 0.220772i
\(593\) −27.4395 −1.12681 −0.563403 0.826182i \(-0.690508\pi\)
−0.563403 + 0.826182i \(0.690508\pi\)
\(594\) 16.1218 + 17.3914i 0.661487 + 0.713576i
\(595\) 8.82300 12.7980i 0.361708 0.524665i
\(596\) 18.7030 18.4704i 0.766103 0.756577i
\(597\) 21.2143 14.2213i 0.868242 0.582041i
\(598\) −36.4606 15.2363i −1.49099 0.623058i
\(599\) 15.6130 0.637931 0.318965 0.947766i \(-0.396665\pi\)
0.318965 + 0.947766i \(0.396665\pi\)
\(600\) −22.6084 + 9.42655i −0.922984 + 0.384837i
\(601\) 22.0342 0.898793 0.449396 0.893333i \(-0.351639\pi\)
0.449396 + 0.893333i \(0.351639\pi\)
\(602\) −27.6183 11.5412i −1.12564 0.470386i
\(603\) 7.27672 + 6.17696i 0.296331 + 0.251545i
\(604\) 8.10007 7.99935i 0.329587 0.325489i
\(605\) 0.0323941 + 1.30924i 0.00131701 + 0.0532282i
\(606\) −38.1023 + 7.51500i −1.54780 + 0.305276i
\(607\) −37.2252 −1.51092 −0.755462 0.655192i \(-0.772588\pi\)
−0.755462 + 0.655192i \(0.772588\pi\)
\(608\) −9.80186 + 11.1195i −0.397518 + 0.450957i
\(609\) 11.7519 + 9.23572i 0.476213 + 0.374250i
\(610\) 4.96512 + 18.8747i 0.201032 + 0.764215i
\(611\) −16.8369 12.2328i −0.681150 0.494884i
\(612\) −0.771454 10.2248i −0.0311842 0.413313i
\(613\) −16.8794 23.2326i −0.681754 0.938355i 0.318199 0.948024i \(-0.396922\pi\)
−0.999953 + 0.00966950i \(0.996922\pi\)
\(614\) −9.34053 3.90325i −0.376953 0.157522i
\(615\) −17.0203 + 22.7963i −0.686326 + 0.919234i
\(616\) 9.00610 36.0205i 0.362866 1.45131i
\(617\) 12.6400 38.9018i 0.508866 1.56613i −0.285308 0.958436i \(-0.592096\pi\)
0.794173 0.607691i \(-0.207904\pi\)
\(618\) −8.36998 + 4.66965i −0.336690 + 0.187841i
\(619\) −30.5204 9.91668i −1.22672 0.398585i −0.377194 0.926134i \(-0.623111\pi\)
−0.849524 + 0.527549i \(0.823111\pi\)
\(620\) 1.45754 + 8.21669i 0.0585361 + 0.329990i
\(621\) −9.95837 + 21.8616i −0.399615 + 0.877274i
\(622\) −8.24669 13.5523i −0.330662 0.543399i
\(623\) −17.8572 + 24.5784i −0.715436 + 0.984713i
\(624\) 39.1234 + 14.9244i 1.56619 + 0.597452i
\(625\) 10.0365 + 22.8969i 0.401460 + 0.915877i
\(626\) 0.807553 + 3.41067i 0.0322763 + 0.136318i
\(627\) 5.04865 13.7489i 0.201624 0.549080i
\(628\) 9.65049 9.53049i 0.385096 0.380308i
\(629\) 3.77875 1.22779i 0.150669 0.0489552i
\(630\) 33.9423 18.3612i 1.35229 0.731528i
\(631\) −12.5237 4.06919i −0.498560 0.161992i 0.0489334 0.998802i \(-0.484418\pi\)
−0.547493 + 0.836810i \(0.684418\pi\)
\(632\) 4.62894 + 5.52394i 0.184130 + 0.219730i
\(633\) −33.6878 1.27260i −1.33897 0.0505814i
\(634\) 12.3453 14.3633i 0.490296 0.570440i
\(635\) −28.8164 37.6666i −1.14354 1.49475i
\(636\) −24.5435 + 2.78689i −0.973212 + 0.110508i
\(637\) −33.9152 46.6802i −1.34377 1.84954i
\(638\) −7.34247 6.31089i −0.290691 0.249850i
\(639\) −16.2082 1.22633i −0.641187 0.0485127i
\(640\) 25.2145 2.05652i 0.996690 0.0812910i
\(641\) −11.4977 15.8252i −0.454130 0.625057i 0.519148 0.854684i \(-0.326249\pi\)
−0.973279 + 0.229627i \(0.926249\pi\)
\(642\) −48.1634 + 9.49938i −1.90086 + 0.374911i
\(643\) 39.4122 1.55426 0.777132 0.629337i \(-0.216673\pi\)
0.777132 + 0.629337i \(0.216673\pi\)
\(644\) 37.1853 5.65133i 1.46531 0.222694i
\(645\) 5.97727 + 19.2453i 0.235355 + 0.757782i
\(646\) −5.41012 + 3.29209i −0.212858 + 0.129526i
\(647\) 28.7039 9.32647i 1.12847 0.366661i 0.315474 0.948934i \(-0.397836\pi\)
0.812994 + 0.582273i \(0.197836\pi\)
\(648\) 9.81999 23.4855i 0.385765 0.922597i
\(649\) −39.1671 −1.53744
\(650\) 14.5078 40.1989i 0.569042 1.57673i
\(651\) −3.58775 12.6480i −0.140615 0.495715i
\(652\) −29.3648 4.83944i −1.15001 0.189527i
\(653\) −13.6778 42.0958i −0.535252 1.64734i −0.743104 0.669175i \(-0.766647\pi\)
0.207853 0.978160i \(-0.433353\pi\)
\(654\) 8.11936 + 7.52984i 0.317492 + 0.294440i
\(655\) 0.121209 0.175817i 0.00473604 0.00686973i
\(656\) 23.9850 16.9717i 0.936457 0.662634i
\(657\) −4.23473 6.86379i −0.165212 0.267782i
\(658\) 19.7429 + 1.61596i 0.769659 + 0.0629965i
\(659\) 14.3375 10.4168i 0.558508 0.405780i −0.272405 0.962183i \(-0.587819\pi\)
0.830913 + 0.556403i \(0.187819\pi\)
\(660\) −22.4873 + 10.9170i −0.875315 + 0.424946i
\(661\) 3.16991 + 2.30308i 0.123295 + 0.0895793i 0.647724 0.761875i \(-0.275721\pi\)
−0.524429 + 0.851454i \(0.675721\pi\)
\(662\) 26.4144 + 22.7033i 1.02662 + 0.882389i
\(663\) 14.0661 + 11.0544i 0.546284 + 0.429318i
\(664\) −1.18762 17.1458i −0.0460887 0.665387i
\(665\) −19.6230 13.5282i −0.760947 0.524602i
\(666\) 9.74215 + 1.54405i 0.377501 + 0.0598309i
\(667\) 3.03078 9.32779i 0.117352 0.361174i
\(668\) −12.4645 24.8461i −0.482268 0.961325i
\(669\) 0.825917 21.8633i 0.0319318 0.845285i
\(670\) −8.46301 + 5.44112i −0.326955 + 0.210209i
\(671\) 6.15471 + 18.9422i 0.237600 + 0.731257i
\(672\) −39.1961 + 7.22244i −1.51202 + 0.278612i
\(673\) −8.48668 + 11.6809i −0.327138 + 0.450266i −0.940630 0.339435i \(-0.889764\pi\)
0.613492 + 0.789701i \(0.289764\pi\)
\(674\) 3.49744 + 14.7713i 0.134716 + 0.568969i
\(675\) −24.1470 9.58754i −0.929420 0.369024i
\(676\) −42.0612 + 21.1008i −1.61774 + 0.811570i
\(677\) 21.0140 + 15.2675i 0.807632 + 0.586779i 0.913143 0.407639i \(-0.133648\pi\)
−0.105511 + 0.994418i \(0.533648\pi\)
\(678\) −12.5881 11.6741i −0.483442 0.448341i
\(679\) −60.7409 + 19.7359i −2.33102 + 0.757394i
\(680\) 10.5474 + 2.36154i 0.404473 + 0.0905611i
\(681\) 40.5880 + 1.53327i 1.55534 + 0.0587549i
\(682\) 1.96213 + 8.28696i 0.0751337 + 0.317324i
\(683\) 29.3508 + 9.53665i 1.12308 + 0.364910i 0.810941 0.585127i \(-0.198956\pi\)
0.312136 + 0.950037i \(0.398956\pi\)
\(684\) −15.6776 + 1.18286i −0.599447 + 0.0452279i
\(685\) 30.7075 10.8243i 1.17327 0.413575i
\(686\) 13.5182 + 5.64905i 0.516129 + 0.215682i
\(687\) −10.2713 + 13.0696i −0.391873 + 0.498637i
\(688\) 0.260414 20.8114i 0.00992818 0.793427i
\(689\) 25.3316 34.8660i 0.965057 1.32829i
\(690\) −18.9871 16.7543i −0.722828 0.637826i
\(691\) 1.42181 + 1.95695i 0.0540881 + 0.0744459i 0.835204 0.549940i \(-0.185349\pi\)
−0.781116 + 0.624386i \(0.785349\pi\)
\(692\) 3.97259 + 26.1393i 0.151015 + 0.993667i
\(693\) 33.5160 20.6783i 1.27317 0.785502i
\(694\) 21.8958 + 1.79217i 0.831152 + 0.0680297i
\(695\) 2.66094 2.03572i 0.100935 0.0772194i
\(696\) −2.89971 + 9.98016i −0.109913 + 0.378297i
\(697\) 11.9390 3.87922i 0.452222 0.146936i
\(698\) 2.93875 + 1.22805i 0.111233 + 0.0464825i
\(699\) 17.1398 4.86189i 0.648285 0.183894i
\(700\) 8.09334 + 39.8645i 0.305899 + 1.50674i
\(701\) 24.7792i 0.935897i 0.883756 + 0.467949i \(0.155007\pi\)
−0.883756 + 0.467949i \(0.844993\pi\)
\(702\) 18.6508 + 40.3075i 0.703929 + 1.52131i
\(703\) −1.88256 5.79392i −0.0710020 0.218522i
\(704\) 25.5704 3.55940i 0.963722 0.134150i
\(705\) −7.69772 10.8904i −0.289913 0.410157i
\(706\) 0.463004 5.65674i 0.0174254 0.212894i
\(707\) 64.4940i 2.42555i
\(708\) 17.4205 + 38.2645i 0.654702 + 1.43807i
\(709\) −20.9371 + 15.2117i −0.786310 + 0.571287i −0.906866 0.421419i \(-0.861532\pi\)
0.120556 + 0.992706i \(0.461532\pi\)
\(710\) 6.21325 15.9675i 0.233179 0.599251i
\(711\) −0.576716 + 7.62240i −0.0216285 + 0.285862i
\(712\) −20.4935 5.12392i −0.768027 0.192027i
\(713\) −6.97926 + 5.07073i −0.261375 + 0.189900i
\(714\) −16.9069 2.02878i −0.632725 0.0759254i
\(715\) 12.4471 41.7992i 0.465495 1.56320i
\(716\) 7.64868 14.7820i 0.285844 0.552430i
\(717\) −1.90241 + 50.3599i −0.0710469 + 1.88072i
\(718\) −1.90847 + 0.451874i −0.0712236 + 0.0168638i
\(719\) 7.67165 23.6109i 0.286104 0.880539i −0.699961 0.714181i \(-0.746799\pi\)
0.986065 0.166358i \(-0.0532007\pi\)
\(720\) 20.6672 + 17.1134i 0.770220 + 0.637778i
\(721\) 4.91850 + 15.1376i 0.183174 + 0.563753i
\(722\) −8.92010 14.6590i −0.331972 0.545552i
\(723\) 38.8144 + 14.2528i 1.44352 + 0.530066i
\(724\) 16.8576 8.45696i 0.626508 0.314300i
\(725\) 10.2378 + 2.77488i 0.380222 + 0.103057i
\(726\) 1.25285 0.698971i 0.0464976 0.0259412i
\(727\) −6.99800 5.08435i −0.259542 0.188568i 0.450403 0.892825i \(-0.351280\pi\)
−0.709945 + 0.704257i \(0.751280\pi\)
\(728\) 36.8880 58.9469i 1.36716 2.18472i
\(729\) 24.8500 10.5582i 0.920371 0.391046i
\(730\) 8.22157 2.16274i 0.304294 0.0800466i
\(731\) 2.74785 8.45702i 0.101633 0.312794i
\(732\) 15.7682 14.4379i 0.582811 0.533639i
\(733\) 49.4782 + 16.0764i 1.82752 + 0.593797i 0.999450 + 0.0331691i \(0.0105600\pi\)
0.828068 + 0.560627i \(0.189440\pi\)
\(734\) 6.53488 7.60308i 0.241207 0.280635i
\(735\) −10.9670 35.3108i −0.404523 1.30246i
\(736\) 13.3144 + 22.5099i 0.490774 + 0.829725i
\(737\) −8.30661 + 6.03511i −0.305978 + 0.222306i
\(738\) 30.7804 + 4.87846i 1.13304 + 0.179578i
\(739\) −6.41467 + 8.82904i −0.235968 + 0.324781i −0.910535 0.413432i \(-0.864330\pi\)
0.674568 + 0.738213i \(0.264330\pi\)
\(740\) −4.54827 + 9.34972i −0.167198 + 0.343702i
\(741\) 16.9496 21.5675i 0.622660 0.792301i
\(742\) −3.34632 + 40.8836i −0.122847 + 1.50089i
\(743\) 29.0732i 1.06659i −0.845929 0.533296i \(-0.820953\pi\)
0.845929 0.533296i \(-0.179047\pi\)
\(744\) 7.22327 5.60272i 0.264818 0.205406i
\(745\) −8.38748 + 28.1664i −0.307293 + 1.03194i
\(746\) −45.4779 + 27.6736i −1.66506 + 1.01320i
\(747\) 11.7971 13.8975i 0.431635 0.508484i
\(748\) 10.8833 + 1.79362i 0.397934 + 0.0655812i
\(749\) 81.5241i 2.97882i
\(750\) 17.0821 21.4056i 0.623750 0.781624i
\(751\) 23.4495i 0.855686i 0.903853 + 0.427843i \(0.140726\pi\)
−0.903853 + 0.427843i \(0.859274\pi\)
\(752\) 4.09205 + 13.1517i 0.149222 + 0.479595i
\(753\) 14.6858 + 21.9072i 0.535182 + 0.798341i
\(754\) −9.42589 15.4902i −0.343271 0.564120i
\(755\) −3.63253 + 12.1986i −0.132201 + 0.443952i
\(756\) −35.1087 23.5464i −1.27689 0.856375i
\(757\) 6.39980i 0.232605i 0.993214 + 0.116302i \(0.0371041\pi\)
−0.993214 + 0.116302i \(0.962896\pi\)
\(758\) 30.7622 + 2.51789i 1.11733 + 0.0914537i
\(759\) −20.3180 15.9676i −0.737495 0.579589i
\(760\) 3.62093 16.1722i 0.131345 0.586627i
\(761\) −0.969420 + 1.33429i −0.0351414 + 0.0483680i −0.826226 0.563339i \(-0.809517\pi\)
0.791085 + 0.611707i \(0.209517\pi\)
\(762\) −21.8264 + 47.1444i −0.790686 + 1.70786i
\(763\) 14.8773 10.8090i 0.538595 0.391312i
\(764\) 6.11324 + 1.00749i 0.221169 + 0.0364496i
\(765\) 6.25902 + 9.60477i 0.226295 + 0.347261i
\(766\) −19.5356 16.7909i −0.705849 0.606681i
\(767\) −69.7637 22.6676i −2.51902 0.818480i
\(768\) −14.8504 23.3980i −0.535868 0.844302i
\(769\) −10.2666 + 31.5974i −0.370224 + 1.13943i 0.576421 + 0.817153i \(0.304449\pi\)
−0.946645 + 0.322279i \(0.895551\pi\)
\(770\) 10.5607 + 40.1461i 0.380581 + 1.44676i
\(771\) 13.5876 + 20.2690i 0.489347 + 0.729969i
\(772\) −11.5868 + 11.4427i −0.417019 + 0.411834i
\(773\) −17.3306 12.5914i −0.623337 0.452881i 0.230749 0.973013i \(-0.425882\pi\)
−0.854085 + 0.520133i \(0.825882\pi\)