Properties

Label 74.2.f.b.53.2
Level $74$
Weight $2$
Character 74.53
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 53.2
Root \(-2.00752 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 74.53
Dual form 74.2.f.b.7.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 - 0.342020i) q^{2} +(1.72328 - 0.627223i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.326352 + 1.85083i) q^{5} -1.83388 q^{6} +(0.598489 - 3.39420i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.278152 - 0.233397i) q^{9} +O(q^{10})\) \(q+(-0.939693 - 0.342020i) q^{2} +(1.72328 - 0.627223i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.326352 + 1.85083i) q^{5} -1.83388 q^{6} +(0.598489 - 3.39420i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.278152 - 0.233397i) q^{9} +(0.939693 - 1.62760i) q^{10} +(1.40483 + 2.43324i) q^{11} +(1.72328 + 0.627223i) q^{12} +(-2.65877 - 2.23097i) q^{13} +(-1.72328 + 2.98481i) q^{14} +(0.598489 + 3.39420i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-2.37417 + 1.99217i) q^{17} +(-0.341204 + 0.124188i) q^{18} +(-6.99748 + 2.54687i) q^{19} +(-1.43969 + 1.20805i) q^{20} +(-1.09755 - 6.22454i) q^{21} +(-0.487893 - 2.76698i) q^{22} +(0.321769 - 0.557320i) q^{23} +(-1.40483 - 1.17879i) q^{24} +(1.37939 + 0.502055i) q^{25} +(1.73539 + 3.00578i) q^{26} +(-2.41787 + 4.18788i) q^{27} +(2.64022 - 2.21541i) q^{28} +(-1.08449 - 1.87840i) q^{29} +(0.598489 - 3.39420i) q^{30} +9.90716 q^{31} +(0.173648 - 0.984808i) q^{32} +(3.94710 + 3.31201i) q^{33} +(2.91235 - 1.06001i) q^{34} +(6.08678 + 2.21541i) q^{35} +0.363102 q^{36} +(-2.56368 - 5.51612i) q^{37} +7.44656 q^{38} +(-5.98112 - 2.17695i) q^{39} +(1.76604 - 0.642788i) q^{40} +(-8.13803 - 6.82862i) q^{41} +(-1.09755 + 6.22454i) q^{42} +8.30465 q^{43} +(-0.487893 + 2.76698i) q^{44} +(0.341204 + 0.590982i) q^{45} +(-0.492978 + 0.413658i) q^{46} +(3.92821 - 6.80387i) q^{47} +(0.916938 + 1.58818i) q^{48} +(-4.58455 - 1.66864i) q^{49} +(-1.12449 - 0.943555i) q^{50} +(-2.84183 + 4.92220i) q^{51} +(-0.602694 - 3.41805i) q^{52} +(0.839394 + 4.76044i) q^{53} +(3.70440 - 3.10836i) q^{54} +(-4.96199 + 1.80602i) q^{55} +(-3.23871 + 1.17879i) q^{56} +(-10.4612 + 8.77795i) q^{57} +(0.376641 + 2.13604i) q^{58} +(0.0961039 + 0.545032i) q^{59} +(-1.72328 + 2.98481i) q^{60} +(5.37102 + 4.50682i) q^{61} +(-9.30969 - 3.38845i) q^{62} +(-0.625726 - 1.08379i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(4.99685 - 4.19285i) q^{65} +(-2.57629 - 4.46226i) q^{66} +(0.0366435 - 0.207815i) q^{67} -3.09926 q^{68} +(0.204934 - 1.16224i) q^{69} +(-4.96199 - 4.16360i) q^{70} +(-4.75197 + 1.72957i) q^{71} +(-0.341204 - 0.124188i) q^{72} +10.2297 q^{73} +(0.522449 + 6.06028i) q^{74} +2.69197 q^{75} +(-6.99748 - 2.54687i) q^{76} +(9.09967 - 3.31201i) q^{77} +(4.87585 + 4.09132i) q^{78} +(-0.330775 + 1.87592i) q^{79} -1.87939 q^{80} +(-1.72910 + 9.80619i) q^{81} +(5.31172 + 9.20017i) q^{82} +(5.21650 - 4.37717i) q^{83} +(3.16028 - 5.47377i) q^{84} +(-2.91235 - 5.04435i) q^{85} +(-7.80382 - 2.84036i) q^{86} +(-3.04706 - 2.55679i) q^{87} +(1.40483 - 2.43324i) q^{88} +(-1.68226 - 9.54055i) q^{89} +(-0.118499 - 0.672040i) q^{90} +(-9.16360 + 7.68917i) q^{91} +(0.604727 - 0.220103i) q^{92} +(17.0728 - 6.21400i) q^{93} +(-6.01837 + 5.05001i) q^{94} +(-2.43020 - 13.7823i) q^{95} +(-0.318449 - 1.80602i) q^{96} +(-8.52990 + 14.7742i) q^{97} +(3.73736 + 3.13602i) q^{98} +(0.958667 + 0.348926i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9} + 3 q^{11} - 3 q^{12} - 6 q^{13} + 3 q^{14} + 6 q^{15} - 3 q^{17} + 6 q^{18} - 3 q^{19} - 6 q^{20} - 33 q^{21} - 3 q^{22} - 21 q^{23} - 3 q^{24} - 6 q^{25} + 3 q^{27} - 3 q^{28} + 6 q^{29} + 6 q^{30} + 42 q^{31} + 57 q^{33} - 3 q^{34} - 9 q^{35} + 24 q^{36} - 3 q^{37} + 42 q^{38} - 24 q^{39} + 12 q^{40} - 21 q^{41} - 33 q^{42} + 36 q^{43} - 3 q^{44} - 6 q^{45} + 3 q^{46} + 9 q^{47} - 12 q^{49} + 12 q^{50} + 3 q^{52} - 6 q^{53} - 27 q^{54} - 3 q^{56} - 36 q^{57} - 3 q^{58} - 6 q^{59} + 3 q^{60} - 18 q^{61} - 33 q^{62} + 36 q^{63} - 6 q^{64} + 3 q^{65} + 3 q^{66} - 27 q^{67} + 6 q^{68} - 12 q^{69} - 18 q^{71} + 6 q^{72} + 54 q^{73} + 3 q^{74} - 6 q^{75} - 3 q^{76} + 51 q^{77} - 33 q^{78} - 12 q^{79} - 36 q^{81} - 18 q^{82} - 6 q^{83} - 6 q^{84} + 3 q^{85} + 39 q^{87} + 3 q^{88} - 15 q^{89} - 15 q^{90} - 51 q^{91} - 6 q^{92} + 45 q^{93} - 12 q^{94} - 15 q^{95} + 6 q^{96} - 42 q^{97} + 51 q^{98} - 33 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 0.342020i −0.664463 0.241845i
\(3\) 1.72328 0.627223i 0.994936 0.362127i 0.207306 0.978276i \(-0.433530\pi\)
0.787630 + 0.616149i \(0.211308\pi\)
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −0.326352 + 1.85083i −0.145949 + 0.827718i 0.820651 + 0.571429i \(0.193611\pi\)
−0.966600 + 0.256289i \(0.917500\pi\)
\(6\) −1.83388 −0.748677
\(7\) 0.598489 3.39420i 0.226208 1.28289i −0.634156 0.773205i \(-0.718652\pi\)
0.860363 0.509681i \(-0.170237\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 0.278152 0.233397i 0.0927173 0.0777991i
\(10\) 0.939693 1.62760i 0.297157 0.514691i
\(11\) 1.40483 + 2.43324i 0.423572 + 0.733649i 0.996286 0.0861067i \(-0.0274426\pi\)
−0.572714 + 0.819756i \(0.694109\pi\)
\(12\) 1.72328 + 0.627223i 0.497468 + 0.181064i
\(13\) −2.65877 2.23097i −0.737409 0.618760i 0.194731 0.980857i \(-0.437617\pi\)
−0.932141 + 0.362097i \(0.882061\pi\)
\(14\) −1.72328 + 2.98481i −0.460566 + 0.797724i
\(15\) 0.598489 + 3.39420i 0.154529 + 0.876378i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −2.37417 + 1.99217i −0.575822 + 0.483172i −0.883572 0.468295i \(-0.844868\pi\)
0.307750 + 0.951467i \(0.400424\pi\)
\(18\) −0.341204 + 0.124188i −0.0804225 + 0.0292714i
\(19\) −6.99748 + 2.54687i −1.60533 + 0.584293i −0.980509 0.196474i \(-0.937051\pi\)
−0.624822 + 0.780767i \(0.714829\pi\)
\(20\) −1.43969 + 1.20805i −0.321925 + 0.270127i
\(21\) −1.09755 6.22454i −0.239506 1.35831i
\(22\) −0.487893 2.76698i −0.104019 0.589921i
\(23\) 0.321769 0.557320i 0.0670934 0.116209i −0.830527 0.556978i \(-0.811961\pi\)
0.897621 + 0.440769i \(0.145294\pi\)
\(24\) −1.40483 1.17879i −0.286760 0.240620i
\(25\) 1.37939 + 0.502055i 0.275877 + 0.100411i
\(26\) 1.73539 + 3.00578i 0.340337 + 0.589482i
\(27\) −2.41787 + 4.18788i −0.465320 + 0.805958i
\(28\) 2.64022 2.21541i 0.498954 0.418672i
\(29\) −1.08449 1.87840i −0.201385 0.348810i 0.747590 0.664161i \(-0.231211\pi\)
−0.948975 + 0.315351i \(0.897878\pi\)
\(30\) 0.598489 3.39420i 0.109269 0.619693i
\(31\) 9.90716 1.77938 0.889690 0.456566i \(-0.150921\pi\)
0.889690 + 0.456566i \(0.150921\pi\)
\(32\) 0.173648 0.984808i 0.0306970 0.174091i
\(33\) 3.94710 + 3.31201i 0.687102 + 0.576547i
\(34\) 2.91235 1.06001i 0.499465 0.181790i
\(35\) 6.08678 + 2.21541i 1.02885 + 0.374472i
\(36\) 0.363102 0.0605169
\(37\) −2.56368 5.51612i −0.421466 0.906844i
\(38\) 7.44656 1.20799
\(39\) −5.98112 2.17695i −0.957745 0.348591i
\(40\) 1.76604 0.642788i 0.279236 0.101634i
\(41\) −8.13803 6.82862i −1.27095 1.06645i −0.994425 0.105443i \(-0.966374\pi\)
−0.276521 0.961008i \(-0.589182\pi\)
\(42\) −1.09755 + 6.22454i −0.169356 + 0.960467i
\(43\) 8.30465 1.26645 0.633224 0.773969i \(-0.281731\pi\)
0.633224 + 0.773969i \(0.281731\pi\)
\(44\) −0.487893 + 2.76698i −0.0735526 + 0.417137i
\(45\) 0.341204 + 0.590982i 0.0508637 + 0.0880984i
\(46\) −0.492978 + 0.413658i −0.0726857 + 0.0609905i
\(47\) 3.92821 6.80387i 0.572989 0.992446i −0.423268 0.906004i \(-0.639117\pi\)
0.996257 0.0864413i \(-0.0275495\pi\)
\(48\) 0.916938 + 1.58818i 0.132349 + 0.229235i
\(49\) −4.58455 1.66864i −0.654935 0.238377i
\(50\) −1.12449 0.943555i −0.159026 0.133439i
\(51\) −2.84183 + 4.92220i −0.397936 + 0.689246i
\(52\) −0.602694 3.41805i −0.0835786 0.473998i
\(53\) 0.839394 + 4.76044i 0.115300 + 0.653897i 0.986601 + 0.163149i \(0.0521651\pi\)
−0.871302 + 0.490748i \(0.836724\pi\)
\(54\) 3.70440 3.10836i 0.504104 0.422994i
\(55\) −4.96199 + 1.80602i −0.669074 + 0.243523i
\(56\) −3.23871 + 1.17879i −0.432790 + 0.157523i
\(57\) −10.4612 + 8.77795i −1.38561 + 1.16267i
\(58\) 0.376641 + 2.13604i 0.0494553 + 0.280475i
\(59\) 0.0961039 + 0.545032i 0.0125117 + 0.0709572i 0.990424 0.138057i \(-0.0440857\pi\)
−0.977913 + 0.209014i \(0.932975\pi\)
\(60\) −1.72328 + 2.98481i −0.222474 + 0.385337i
\(61\) 5.37102 + 4.50682i 0.687689 + 0.577039i 0.918242 0.396020i \(-0.129609\pi\)
−0.230553 + 0.973060i \(0.574053\pi\)
\(62\) −9.30969 3.38845i −1.18233 0.430333i
\(63\) −0.625726 1.08379i −0.0788340 0.136545i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 4.99685 4.19285i 0.619783 0.520060i
\(66\) −2.57629 4.46226i −0.317119 0.549266i
\(67\) 0.0366435 0.207815i 0.00447671 0.0253887i −0.982488 0.186328i \(-0.940341\pi\)
0.986964 + 0.160939i \(0.0514524\pi\)
\(68\) −3.09926 −0.375841
\(69\) 0.204934 1.16224i 0.0246711 0.139917i
\(70\) −4.96199 4.16360i −0.593071 0.497646i
\(71\) −4.75197 + 1.72957i −0.563955 + 0.205263i −0.608236 0.793756i \(-0.708123\pi\)
0.0442811 + 0.999019i \(0.485900\pi\)
\(72\) −0.341204 0.124188i −0.0402113 0.0146357i
\(73\) 10.2297 1.19730 0.598648 0.801012i \(-0.295705\pi\)
0.598648 + 0.801012i \(0.295705\pi\)
\(74\) 0.522449 + 6.06028i 0.0607334 + 0.704494i
\(75\) 2.69197 0.310842
\(76\) −6.99748 2.54687i −0.802666 0.292146i
\(77\) 9.09967 3.31201i 1.03700 0.377438i
\(78\) 4.87585 + 4.09132i 0.552081 + 0.463251i
\(79\) −0.330775 + 1.87592i −0.0372151 + 0.211057i −0.997745 0.0671197i \(-0.978619\pi\)
0.960530 + 0.278177i \(0.0897302\pi\)
\(80\) −1.87939 −0.210122
\(81\) −1.72910 + 9.80619i −0.192122 + 1.08958i
\(82\) 5.31172 + 9.20017i 0.586582 + 1.01599i
\(83\) 5.21650 4.37717i 0.572586 0.480456i −0.309917 0.950764i \(-0.600301\pi\)
0.882503 + 0.470307i \(0.155857\pi\)
\(84\) 3.16028 5.47377i 0.344815 0.597237i
\(85\) −2.91235 5.04435i −0.315889 0.547136i
\(86\) −7.80382 2.84036i −0.841507 0.306284i
\(87\) −3.04706 2.55679i −0.326679 0.274116i
\(88\) 1.40483 2.43324i 0.149755 0.259384i
\(89\) −1.68226 9.54055i −0.178319 1.01130i −0.934243 0.356637i \(-0.883923\pi\)
0.755924 0.654659i \(-0.227188\pi\)
\(90\) −0.118499 0.672040i −0.0124909 0.0708393i
\(91\) −9.16360 + 7.68917i −0.960606 + 0.806044i
\(92\) 0.604727 0.220103i 0.0630472 0.0229473i
\(93\) 17.0728 6.21400i 1.77037 0.644361i
\(94\) −6.01837 + 5.05001i −0.620748 + 0.520869i
\(95\) −2.43020 13.7823i −0.249333 1.41404i
\(96\) −0.318449 1.80602i −0.0325016 0.184326i
\(97\) −8.52990 + 14.7742i −0.866080 + 1.50009i −0.000109562 1.00000i \(0.500035\pi\)
−0.865971 + 0.500095i \(0.833298\pi\)
\(98\) 3.73736 + 3.13602i 0.377530 + 0.316785i
\(99\) 0.958667 + 0.348926i 0.0963497 + 0.0350684i
\(100\) 0.733956 + 1.27125i 0.0733956 + 0.127125i
\(101\) −5.98911 + 10.3734i −0.595938 + 1.03220i 0.397475 + 0.917613i \(0.369886\pi\)
−0.993414 + 0.114583i \(0.963447\pi\)
\(102\) 4.35394 3.65339i 0.431104 0.361739i
\(103\) −6.47233 11.2104i −0.637737 1.10459i −0.985928 0.167170i \(-0.946537\pi\)
0.348191 0.937424i \(-0.386796\pi\)
\(104\) −0.602694 + 3.41805i −0.0590990 + 0.335167i
\(105\) 11.8788 1.15925
\(106\) 0.839394 4.76044i 0.0815291 0.462375i
\(107\) 11.9706 + 10.0445i 1.15724 + 0.971037i 0.999864 0.0165017i \(-0.00525290\pi\)
0.157374 + 0.987539i \(0.449697\pi\)
\(108\) −4.54411 + 1.65392i −0.437258 + 0.159149i
\(109\) −1.45663 0.530170i −0.139520 0.0507810i 0.271317 0.962490i \(-0.412541\pi\)
−0.410836 + 0.911709i \(0.634763\pi\)
\(110\) 5.28044 0.503470
\(111\) −7.87777 7.89781i −0.747725 0.749627i
\(112\) 3.44656 0.325669
\(113\) 4.80629 + 1.74935i 0.452138 + 0.164565i 0.558044 0.829811i \(-0.311552\pi\)
−0.105906 + 0.994376i \(0.533774\pi\)
\(114\) 12.8325 4.67065i 1.20187 0.437446i
\(115\) 0.926496 + 0.777422i 0.0863962 + 0.0724950i
\(116\) 0.376641 2.13604i 0.0349702 0.198326i
\(117\) −1.26024 −0.116510
\(118\) 0.0961039 0.545032i 0.00884708 0.0501743i
\(119\) 5.34090 + 9.25071i 0.489599 + 0.848011i
\(120\) 2.64022 2.21541i 0.241018 0.202238i
\(121\) 1.55290 2.68971i 0.141173 0.244519i
\(122\) −3.50569 6.07203i −0.317390 0.549735i
\(123\) −18.3072 6.66326i −1.65070 0.600806i
\(124\) 7.58933 + 6.36820i 0.681542 + 0.571881i
\(125\) −6.07785 + 10.5271i −0.543619 + 0.941576i
\(126\) 0.217312 + 1.23244i 0.0193597 + 0.109794i
\(127\) −1.23207 6.98740i −0.109328 0.620032i −0.989403 0.145196i \(-0.953619\pi\)
0.880075 0.474836i \(-0.157492\pi\)
\(128\) 0.766044 0.642788i 0.0677094 0.0568149i
\(129\) 14.3112 5.20886i 1.26003 0.458615i
\(130\) −6.12954 + 2.23097i −0.537596 + 0.195669i
\(131\) 13.3781 11.2256i 1.16885 0.980781i 0.168861 0.985640i \(-0.445991\pi\)
0.999988 + 0.00485874i \(0.00154659\pi\)
\(132\) 0.894734 + 5.07429i 0.0778766 + 0.441660i
\(133\) 4.45668 + 25.2751i 0.386443 + 2.19163i
\(134\) −0.105511 + 0.182750i −0.00911473 + 0.0157872i
\(135\) −6.96199 5.84180i −0.599192 0.502782i
\(136\) 2.91235 + 1.06001i 0.249732 + 0.0908951i
\(137\) −4.92852 8.53645i −0.421072 0.729318i 0.574973 0.818173i \(-0.305013\pi\)
−0.996045 + 0.0888546i \(0.971679\pi\)
\(138\) −0.590084 + 1.02206i −0.0502313 + 0.0870031i
\(139\) −6.89049 + 5.78181i −0.584444 + 0.490407i −0.886403 0.462914i \(-0.846804\pi\)
0.301959 + 0.953321i \(0.402359\pi\)
\(140\) 3.23871 + 5.60960i 0.273721 + 0.474098i
\(141\) 2.50187 14.1888i 0.210696 1.19491i
\(142\) 5.05694 0.424369
\(143\) 1.69337 9.60355i 0.141606 0.803089i
\(144\) 0.278152 + 0.233397i 0.0231793 + 0.0194498i
\(145\) 3.83053 1.39420i 0.318108 0.115782i
\(146\) −9.61277 3.49876i −0.795559 0.289560i
\(147\) −8.94707 −0.737942
\(148\) 1.58180 5.87349i 0.130023 0.482798i
\(149\) −9.97301 −0.817021 −0.408511 0.912754i \(-0.633952\pi\)
−0.408511 + 0.912754i \(0.633952\pi\)
\(150\) −2.52962 0.920707i −0.206543 0.0751754i
\(151\) −9.07997 + 3.30484i −0.738918 + 0.268944i −0.683935 0.729543i \(-0.739733\pi\)
−0.0549831 + 0.998487i \(0.517510\pi\)
\(152\) 5.70440 + 4.78656i 0.462688 + 0.388241i
\(153\) −0.195414 + 1.10825i −0.0157983 + 0.0895968i
\(154\) −9.68366 −0.780332
\(155\) −3.23322 + 18.3365i −0.259699 + 1.47282i
\(156\) −3.18249 5.51223i −0.254803 0.441331i
\(157\) −6.73320 + 5.64982i −0.537368 + 0.450905i −0.870637 0.491927i \(-0.836293\pi\)
0.333269 + 0.942832i \(0.391848\pi\)
\(158\) 0.952429 1.64965i 0.0757712 0.131239i
\(159\) 4.43236 + 7.67708i 0.351509 + 0.608832i
\(160\) 1.76604 + 0.642788i 0.139618 + 0.0508168i
\(161\) −1.69908 1.42570i −0.133906 0.112361i
\(162\) 4.97873 8.62341i 0.391166 0.677519i
\(163\) −0.331175 1.87819i −0.0259397 0.147111i 0.969087 0.246719i \(-0.0793524\pi\)
−0.995027 + 0.0996076i \(0.968241\pi\)
\(164\) −1.84474 10.4620i −0.144050 0.816949i
\(165\) −7.41812 + 6.22454i −0.577500 + 0.484580i
\(166\) −6.39899 + 2.32904i −0.496658 + 0.180769i
\(167\) −6.22793 + 2.26678i −0.481932 + 0.175409i −0.571550 0.820567i \(-0.693658\pi\)
0.0896181 + 0.995976i \(0.471435\pi\)
\(168\) −4.84183 + 4.06278i −0.373555 + 0.313450i
\(169\) −0.165612 0.939235i −0.0127394 0.0722488i
\(170\) 1.01145 + 5.73622i 0.0775747 + 0.439948i
\(171\) −1.35193 + 2.34161i −0.103385 + 0.179067i
\(172\) 6.36173 + 5.33813i 0.485077 + 0.407028i
\(173\) −23.8769 8.69049i −1.81533 0.660725i −0.996198 0.0871179i \(-0.972234\pi\)
−0.819130 0.573608i \(-0.805543\pi\)
\(174\) 1.98883 + 3.44475i 0.150773 + 0.261146i
\(175\) 2.52962 4.38143i 0.191221 0.331205i
\(176\) −2.15233 + 1.80602i −0.162238 + 0.136134i
\(177\) 0.507471 + 0.878965i 0.0381438 + 0.0660670i
\(178\) −1.68226 + 9.54055i −0.126090 + 0.715095i
\(179\) 8.12492 0.607285 0.303643 0.952786i \(-0.401797\pi\)
0.303643 + 0.952786i \(0.401797\pi\)
\(180\) −0.118499 + 0.672040i −0.00883238 + 0.0500909i
\(181\) 9.12118 + 7.65358i 0.677972 + 0.568886i 0.915413 0.402516i \(-0.131864\pi\)
−0.237441 + 0.971402i \(0.576309\pi\)
\(182\) 11.2408 4.09132i 0.833225 0.303269i
\(183\) 12.0826 + 4.39769i 0.893168 + 0.325087i
\(184\) −0.643537 −0.0474422
\(185\) 11.0461 2.94475i 0.812123 0.216502i
\(186\) −18.1685 −1.33218
\(187\) −8.18273 2.97827i −0.598381 0.217793i
\(188\) 7.38263 2.68706i 0.538433 0.195974i
\(189\) 12.7674 + 10.7131i 0.928693 + 0.779266i
\(190\) −2.43020 + 13.7823i −0.176305 + 0.999876i
\(191\) 0.266722 0.0192993 0.00964965 0.999953i \(-0.496928\pi\)
0.00964965 + 0.999953i \(0.496928\pi\)
\(192\) −0.318449 + 1.80602i −0.0229821 + 0.130338i
\(193\) −3.96417 6.86615i −0.285348 0.494236i 0.687346 0.726330i \(-0.258776\pi\)
−0.972693 + 0.232094i \(0.925442\pi\)
\(194\) 13.0686 10.9658i 0.938268 0.787301i
\(195\) 5.98112 10.3596i 0.428317 0.741866i
\(196\) −2.43939 4.22514i −0.174242 0.301796i
\(197\) 0.386805 + 0.140786i 0.0275587 + 0.0100306i 0.355763 0.934576i \(-0.384221\pi\)
−0.328204 + 0.944607i \(0.606443\pi\)
\(198\) −0.781513 0.655767i −0.0555397 0.0466033i
\(199\) 1.01751 1.76239i 0.0721297 0.124932i −0.827705 0.561164i \(-0.810354\pi\)
0.899834 + 0.436232i \(0.143687\pi\)
\(200\) −0.254900 1.44561i −0.0180242 0.102220i
\(201\) −0.0671996 0.381108i −0.00473989 0.0268813i
\(202\) 9.17584 7.69945i 0.645610 0.541731i
\(203\) −7.02471 + 2.55679i −0.493038 + 0.179451i
\(204\) −5.34090 + 1.94393i −0.373938 + 0.136102i
\(205\) 15.2945 12.8336i 1.06821 0.896338i
\(206\) 2.24782 + 12.7480i 0.156613 + 0.888195i
\(207\) −0.0405763 0.230119i −0.00282024 0.0159944i
\(208\) 1.73539 3.00578i 0.120327 0.208413i
\(209\) −16.0274 13.4486i −1.10864 0.930259i
\(210\) −11.1624 4.06278i −0.770278 0.280358i
\(211\) 7.87052 + 13.6321i 0.541829 + 0.938475i 0.998799 + 0.0489932i \(0.0156013\pi\)
−0.456970 + 0.889482i \(0.651065\pi\)
\(212\) −2.41694 + 4.18626i −0.165996 + 0.287513i
\(213\) −7.10414 + 5.96108i −0.486768 + 0.408447i
\(214\) −7.81323 13.5329i −0.534101 0.925090i
\(215\) −2.71024 + 15.3705i −0.184837 + 1.04826i
\(216\) 4.83575 0.329031
\(217\) 5.92933 33.6269i 0.402509 2.28274i
\(218\) 1.18745 + 0.996393i 0.0804246 + 0.0674842i
\(219\) 17.6286 6.41630i 1.19123 0.433573i
\(220\) −4.96199 1.80602i −0.334537 0.121762i
\(221\) 10.7568 0.723584
\(222\) 4.70147 + 10.1159i 0.315542 + 0.678933i
\(223\) −3.43531 −0.230045 −0.115023 0.993363i \(-0.536694\pi\)
−0.115023 + 0.993363i \(0.536694\pi\)
\(224\) −3.23871 1.17879i −0.216395 0.0787614i
\(225\) 0.500857 0.182297i 0.0333905 0.0121531i
\(226\) −3.91812 3.28770i −0.260630 0.218694i
\(227\) −0.401614 + 2.27767i −0.0266561 + 0.151174i −0.995231 0.0975489i \(-0.968900\pi\)
0.968575 + 0.248723i \(0.0800109\pi\)
\(228\) −13.6561 −0.904395
\(229\) −1.02642 + 5.82114i −0.0678280 + 0.384672i 0.931929 + 0.362640i \(0.118125\pi\)
−0.999757 + 0.0220316i \(0.992987\pi\)
\(230\) −0.604727 1.04742i −0.0398745 0.0690647i
\(231\) 13.6039 11.4150i 0.895071 0.751054i
\(232\) −1.08449 + 1.87840i −0.0712005 + 0.123323i
\(233\) 14.1679 + 24.5395i 0.928168 + 1.60763i 0.786386 + 0.617736i \(0.211950\pi\)
0.141782 + 0.989898i \(0.454717\pi\)
\(234\) 1.18424 + 0.431029i 0.0774163 + 0.0281772i
\(235\) 11.3108 + 9.49092i 0.737838 + 0.619120i
\(236\) −0.276720 + 0.479293i −0.0180129 + 0.0311993i
\(237\) 0.606600 + 3.44020i 0.0394029 + 0.223465i
\(238\) −1.85487 10.5195i −0.120234 0.681879i
\(239\) 18.5674 15.5799i 1.20103 1.00778i 0.201427 0.979504i \(-0.435442\pi\)
0.999600 0.0282780i \(-0.00900236\pi\)
\(240\) −3.23871 + 1.17879i −0.209058 + 0.0760907i
\(241\) −8.31692 + 3.02711i −0.535740 + 0.194993i −0.595700 0.803207i \(-0.703125\pi\)
0.0599594 + 0.998201i \(0.480903\pi\)
\(242\) −2.37918 + 1.99637i −0.152940 + 0.128332i
\(243\) 0.651791 + 3.69649i 0.0418124 + 0.237130i
\(244\) 1.21751 + 6.90485i 0.0779432 + 0.442038i
\(245\) 4.58455 7.94067i 0.292896 0.507311i
\(246\) 14.9241 + 12.5228i 0.951528 + 0.798427i
\(247\) 24.2867 + 8.83962i 1.54532 + 0.562452i
\(248\) −4.95358 8.57985i −0.314553 0.544821i
\(249\) 6.24404 10.8150i 0.395700 0.685372i
\(250\) 9.31180 7.81353i 0.588930 0.494171i
\(251\) −3.29525 5.70754i −0.207994 0.360257i 0.743088 0.669193i \(-0.233360\pi\)
−0.951083 + 0.308937i \(0.900027\pi\)
\(252\) 0.217312 1.23244i 0.0136894 0.0776363i
\(253\) 1.80812 0.113676
\(254\) −1.23207 + 6.98740i −0.0773068 + 0.438429i
\(255\) −8.18273 6.86613i −0.512422 0.429973i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) −9.04522 3.29219i −0.564225 0.205361i 0.0441304 0.999026i \(-0.485948\pi\)
−0.608356 + 0.793665i \(0.708171\pi\)
\(258\) −15.2297 −0.948160
\(259\) −20.2571 + 5.40031i −1.25872 + 0.335559i
\(260\) 6.52292 0.404534
\(261\) −0.740067 0.269362i −0.0458090 0.0166731i
\(262\) −16.4107 + 5.97299i −1.01385 + 0.369013i
\(263\) −1.21898 1.02284i −0.0751654 0.0630712i 0.604431 0.796658i \(-0.293401\pi\)
−0.679596 + 0.733586i \(0.737845\pi\)
\(264\) 0.894734 5.07429i 0.0550671 0.312301i
\(265\) −9.08472 −0.558070
\(266\) 4.45668 25.2751i 0.273257 1.54972i
\(267\) −8.88305 15.3859i −0.543634 0.941601i
\(268\) 0.161652 0.135642i 0.00987445 0.00828565i
\(269\) −11.5599 + 20.0223i −0.704819 + 1.22078i 0.261938 + 0.965085i \(0.415638\pi\)
−0.966757 + 0.255697i \(0.917695\pi\)
\(270\) 4.54411 + 7.87064i 0.276546 + 0.478992i
\(271\) −0.172362 0.0627348i −0.0104703 0.00381087i 0.336780 0.941583i \(-0.390662\pi\)
−0.347250 + 0.937773i \(0.612884\pi\)
\(272\) −2.37417 1.99217i −0.143955 0.120793i
\(273\) −10.9686 + 18.9982i −0.663851 + 1.14982i
\(274\) 1.71166 + 9.70729i 0.103405 + 0.586439i
\(275\) 0.716183 + 4.06167i 0.0431875 + 0.244928i
\(276\) 0.904061 0.758597i 0.0544181 0.0456622i
\(277\) 11.9260 4.34070i 0.716562 0.260807i 0.0420965 0.999114i \(-0.486596\pi\)
0.674466 + 0.738306i \(0.264374\pi\)
\(278\) 8.45244 3.07644i 0.506944 0.184512i
\(279\) 2.75570 2.31230i 0.164979 0.138434i
\(280\) −1.12479 6.37901i −0.0672191 0.381219i
\(281\) 3.02774 + 17.1712i 0.180620 + 1.02435i 0.931455 + 0.363857i \(0.118540\pi\)
−0.750835 + 0.660490i \(0.770349\pi\)
\(282\) −7.20386 + 12.4774i −0.428983 + 0.743021i
\(283\) −10.0612 8.44232i −0.598074 0.501844i 0.292752 0.956188i \(-0.405429\pi\)
−0.890826 + 0.454345i \(0.849873\pi\)
\(284\) −4.75197 1.72957i −0.281977 0.102631i
\(285\) −12.8325 22.2266i −0.760132 1.31659i
\(286\) −4.87585 + 8.44522i −0.288315 + 0.499376i
\(287\) −28.0482 + 23.5352i −1.65563 + 1.38924i
\(288\) −0.181551 0.314455i −0.0106980 0.0185294i
\(289\) −1.28405 + 7.28223i −0.0755325 + 0.428366i
\(290\) −4.07636 −0.239372
\(291\) −5.43268 + 30.8103i −0.318469 + 1.80613i
\(292\) 7.83641 + 6.57552i 0.458591 + 0.384803i
\(293\) −6.37791 + 2.32137i −0.372602 + 0.135616i −0.521532 0.853232i \(-0.674639\pi\)
0.148930 + 0.988848i \(0.452417\pi\)
\(294\) 8.40749 + 3.06008i 0.490335 + 0.178467i
\(295\) −1.04013 −0.0605586
\(296\) −3.49526 + 4.97827i −0.203158 + 0.289356i
\(297\) −13.5868 −0.788386
\(298\) 9.37157 + 3.41097i 0.542880 + 0.197592i
\(299\) −2.09887 + 0.763927i −0.121381 + 0.0441790i
\(300\) 2.06217 + 1.73036i 0.119059 + 0.0999026i
\(301\) 4.97024 28.1876i 0.286480 1.62471i
\(302\) 9.66271 0.556026
\(303\) −3.81445 + 21.6328i −0.219135 + 1.24277i
\(304\) −3.72328 6.44891i −0.213545 0.369870i
\(305\) −10.0942 + 8.47006i −0.577993 + 0.484994i
\(306\) 0.562674 0.974579i 0.0321659 0.0557130i
\(307\) −4.10242 7.10560i −0.234138 0.405538i 0.724884 0.688871i \(-0.241893\pi\)
−0.959022 + 0.283333i \(0.908560\pi\)
\(308\) 9.09967 + 3.31201i 0.518502 + 0.188719i
\(309\) −18.1850 15.2591i −1.03451 0.868058i
\(310\) 9.30969 16.1249i 0.528755 0.915830i
\(311\) −1.88461 10.6882i −0.106867 0.606070i −0.990458 0.137812i \(-0.955993\pi\)
0.883592 0.468258i \(-0.155118\pi\)
\(312\) 1.10527 + 6.26827i 0.0625733 + 0.354871i
\(313\) −6.63058 + 5.56372i −0.374783 + 0.314480i −0.810650 0.585531i \(-0.800886\pi\)
0.435867 + 0.900011i \(0.356442\pi\)
\(314\) 8.25949 3.00621i 0.466110 0.169650i
\(315\) 2.21012 0.804417i 0.124526 0.0453238i
\(316\) −1.45921 + 1.22442i −0.0820867 + 0.0688789i
\(317\) −4.41505 25.0390i −0.247974 1.40633i −0.813484 0.581587i \(-0.802432\pi\)
0.565510 0.824741i \(-0.308679\pi\)
\(318\) −1.53934 8.73005i −0.0863221 0.489557i
\(319\) 3.04706 5.27766i 0.170603 0.295492i
\(320\) −1.43969 1.20805i −0.0804813 0.0675318i
\(321\) 26.9287 + 9.80126i 1.50302 + 0.547053i
\(322\) 1.10899 + 1.92084i 0.0618019 + 0.107044i
\(323\) 11.5394 19.9869i 0.642071 1.11210i
\(324\) −7.62786 + 6.40053i −0.423770 + 0.355585i
\(325\) −2.54739 4.41222i −0.141304 0.244746i
\(326\) −0.331175 + 1.87819i −0.0183421 + 0.104023i
\(327\) −2.84271 −0.157202
\(328\) −1.84474 + 10.4620i −0.101859 + 0.577670i
\(329\) −20.7427 17.4052i −1.14358 0.959578i
\(330\) 9.09967 3.31201i 0.500920 0.182320i
\(331\) 19.5470 + 7.11454i 1.07440 + 0.391050i 0.817821 0.575473i \(-0.195182\pi\)
0.256581 + 0.966523i \(0.417404\pi\)
\(332\) 6.80966 0.373729
\(333\) −2.00054 0.935963i −0.109629 0.0512904i
\(334\) 6.62762 0.362647
\(335\) 0.372673 + 0.135642i 0.0203613 + 0.00741091i
\(336\) 5.93939 2.16176i 0.324020 0.117934i
\(337\) −1.89385 1.58913i −0.103165 0.0865653i 0.589746 0.807588i \(-0.299228\pi\)
−0.692911 + 0.721023i \(0.743672\pi\)
\(338\) −0.165612 + 0.939235i −0.00900813 + 0.0510876i
\(339\) 9.37981 0.509442
\(340\) 1.01145 5.73622i 0.0548536 0.311090i
\(341\) 13.9179 + 24.1065i 0.753696 + 1.30544i
\(342\) 2.07127 1.73801i 0.112002 0.0939806i
\(343\) 3.65547 6.33145i 0.197377 0.341866i
\(344\) −4.15233 7.19204i −0.223878 0.387769i
\(345\) 2.08423 + 0.758597i 0.112211 + 0.0408415i
\(346\) 19.4646 + 16.3328i 1.04643 + 0.878055i
\(347\) 2.92690 5.06953i 0.157124 0.272147i −0.776706 0.629863i \(-0.783111\pi\)
0.933830 + 0.357716i \(0.116444\pi\)
\(348\) −0.690712 3.91722i −0.0370261 0.209985i
\(349\) 0.545283 + 3.09246i 0.0291883 + 0.165535i 0.995918 0.0902661i \(-0.0287718\pi\)
−0.966729 + 0.255801i \(0.917661\pi\)
\(350\) −3.87561 + 3.25202i −0.207160 + 0.173828i
\(351\) 15.7716 5.74039i 0.841825 0.306399i
\(352\) 2.64022 0.960961i 0.140724 0.0512194i
\(353\) −8.61667 + 7.23024i −0.458619 + 0.384827i −0.842623 0.538505i \(-0.818989\pi\)
0.384004 + 0.923332i \(0.374545\pi\)
\(354\) −0.176243 0.999522i −0.00936719 0.0531240i
\(355\) −1.65034 9.35955i −0.0875910 0.496753i
\(356\) 4.84387 8.38982i 0.256724 0.444660i
\(357\) 15.0061 + 12.5916i 0.794208 + 0.666419i
\(358\) −7.63493 2.77889i −0.403518 0.146869i
\(359\) 11.5467 + 19.9994i 0.609410 + 1.05553i 0.991338 + 0.131337i \(0.0419271\pi\)
−0.381927 + 0.924192i \(0.624740\pi\)
\(360\) 0.341204 0.590982i 0.0179830 0.0311475i
\(361\) 27.9233 23.4304i 1.46965 1.23318i
\(362\) −5.95343 10.3116i −0.312905 0.541968i
\(363\) 0.989041 5.60913i 0.0519112 0.294403i
\(364\) −11.9622 −0.626991
\(365\) −3.33848 + 18.9335i −0.174744 + 0.991023i
\(366\) −9.84979 8.26495i −0.514857 0.432016i
\(367\) −1.47673 + 0.537487i −0.0770848 + 0.0280566i −0.380275 0.924874i \(-0.624171\pi\)
0.303190 + 0.952930i \(0.401948\pi\)
\(368\) 0.604727 + 0.220103i 0.0315236 + 0.0114736i
\(369\) −3.85739 −0.200808
\(370\) −11.3871 1.01082i −0.591986 0.0525500i
\(371\) 16.6602 0.864957
\(372\) 17.0728 + 6.21400i 0.885184 + 0.322181i
\(373\) −6.28835 + 2.28877i −0.325599 + 0.118508i −0.499647 0.866229i \(-0.666537\pi\)
0.174049 + 0.984737i \(0.444315\pi\)
\(374\) 6.67062 + 5.59732i 0.344930 + 0.289430i
\(375\) −3.87097 + 21.9534i −0.199896 + 1.13367i
\(376\) −7.85643 −0.405164
\(377\) −1.30723 + 7.41370i −0.0673260 + 0.381825i
\(378\) −8.33334 14.4338i −0.428621 0.742393i
\(379\) −8.40501 + 7.05264i −0.431737 + 0.362270i −0.832606 0.553865i \(-0.813152\pi\)
0.400870 + 0.916135i \(0.368708\pi\)
\(380\) 6.99748 12.1200i 0.358963 0.621742i
\(381\) −6.50586 11.2685i −0.333305 0.577301i
\(382\) −0.250636 0.0912241i −0.0128237 0.00466743i
\(383\) −19.3480 16.2349i −0.988638 0.829566i −0.00326840 0.999995i \(-0.501040\pi\)
−0.985370 + 0.170429i \(0.945485\pi\)
\(384\) 0.916938 1.58818i 0.0467923 0.0810466i
\(385\) 3.16028 + 17.9228i 0.161063 + 0.913433i
\(386\) 1.37674 + 7.80790i 0.0700744 + 0.397412i
\(387\) 2.30995 1.93828i 0.117422 0.0985284i
\(388\) −16.0310 + 5.83480i −0.813849 + 0.296217i
\(389\) 10.1599 3.69792i 0.515130 0.187492i −0.0713568 0.997451i \(-0.522733\pi\)
0.586487 + 0.809959i \(0.300511\pi\)
\(390\) −9.16360 + 7.68917i −0.464017 + 0.389356i
\(391\) 0.346340 + 1.96419i 0.0175152 + 0.0993334i
\(392\) 0.847190 + 4.80465i 0.0427896 + 0.242672i
\(393\) 16.0133 27.7358i 0.807763 1.39909i
\(394\) −0.315326 0.264590i −0.0158859 0.0133299i
\(395\) −3.36406 1.22442i −0.169264 0.0616072i
\(396\) 0.510096 + 0.883512i 0.0256333 + 0.0443982i
\(397\) 5.40570 9.36295i 0.271304 0.469913i −0.697892 0.716203i \(-0.745878\pi\)
0.969196 + 0.246290i \(0.0792117\pi\)
\(398\) −1.55892 + 1.30809i −0.0781417 + 0.0655687i
\(399\) 23.5332 + 40.7607i 1.17813 + 2.04059i
\(400\) −0.254900 + 1.44561i −0.0127450 + 0.0722805i
\(401\) −34.6974 −1.73271 −0.866353 0.499432i \(-0.833542\pi\)
−0.866353 + 0.499432i \(0.833542\pi\)
\(402\) −0.0671996 + 0.381108i −0.00335161 + 0.0190079i
\(403\) −26.3408 22.1026i −1.31213 1.10101i
\(404\) −11.2558 + 4.09679i −0.559999 + 0.203823i
\(405\) −17.5853 6.40053i −0.873822 0.318045i
\(406\) 7.47554 0.371005
\(407\) 9.82049 13.9873i 0.486783 0.693322i
\(408\) 5.68366 0.281383
\(409\) −1.77330 0.645428i −0.0876840 0.0319144i 0.297806 0.954627i \(-0.403745\pi\)
−0.385490 + 0.922712i \(0.625967\pi\)
\(410\) −18.7615 + 6.82862i −0.926563 + 0.337241i
\(411\) −13.8475 11.6194i −0.683046 0.573143i
\(412\) 2.24782 12.7480i 0.110742 0.628049i
\(413\) 1.90747 0.0938602
\(414\) −0.0405763 + 0.230119i −0.00199421 + 0.0113098i
\(415\) 6.39899 + 11.0834i 0.314114 + 0.544061i
\(416\) −2.65877 + 2.23097i −0.130357 + 0.109382i
\(417\) −8.24777 + 14.2856i −0.403895 + 0.699566i
\(418\) 10.4612 + 18.1193i 0.511672 + 0.886242i
\(419\) 16.3766 + 5.96059i 0.800048 + 0.291194i 0.709507 0.704699i \(-0.248918\pi\)
0.0905419 + 0.995893i \(0.471140\pi\)
\(420\) 9.09967 + 7.63553i 0.444018 + 0.372576i
\(421\) 9.07719 15.7222i 0.442395 0.766251i −0.555471 0.831536i \(-0.687462\pi\)
0.997867 + 0.0652845i \(0.0207955\pi\)
\(422\) −2.73340 15.5019i −0.133060 0.754621i
\(423\) −0.495363 2.80934i −0.0240854 0.136595i
\(424\) 3.70296 3.10716i 0.179832 0.150897i
\(425\) −4.27508 + 1.55600i −0.207372 + 0.0754771i
\(426\) 8.71452 3.17183i 0.422220 0.153675i
\(427\) 18.5115 15.5330i 0.895837 0.751696i
\(428\) 2.71350 + 15.3891i 0.131162 + 0.743858i
\(429\) −3.10542 17.6117i −0.149931 0.850302i
\(430\) 7.80382 13.5166i 0.376334 0.651829i
\(431\) 21.7480 + 18.2487i 1.04756 + 0.879011i 0.992835 0.119491i \(-0.0381262\pi\)
0.0547286 + 0.998501i \(0.482571\pi\)
\(432\) −4.54411 1.65392i −0.218629 0.0795744i
\(433\) 3.73468 + 6.46865i 0.179477 + 0.310864i 0.941702 0.336449i \(-0.109226\pi\)
−0.762224 + 0.647313i \(0.775893\pi\)
\(434\) −17.0728 + 29.5710i −0.819521 + 1.41945i
\(435\) 5.72660 4.80519i 0.274569 0.230391i
\(436\) −0.775056 1.34244i −0.0371185 0.0642910i
\(437\) −0.832146 + 4.71934i −0.0398069 + 0.225756i
\(438\) −18.7600 −0.896388
\(439\) −5.99873 + 34.0205i −0.286304 + 1.62371i 0.414287 + 0.910146i \(0.364031\pi\)
−0.700590 + 0.713564i \(0.747080\pi\)
\(440\) 4.04505 + 3.39420i 0.192840 + 0.161812i
\(441\) −1.66466 + 0.605885i −0.0792693 + 0.0288517i
\(442\) −10.1081 3.67906i −0.480795 0.174995i
\(443\) −2.89849 −0.137712 −0.0688558 0.997627i \(-0.521935\pi\)
−0.0688558 + 0.997627i \(0.521935\pi\)
\(444\) −0.958106 11.1138i −0.0454697 0.527438i
\(445\) 18.2070 0.863094
\(446\) 3.22814 + 1.17495i 0.152857 + 0.0556353i
\(447\) −17.1863 + 6.25530i −0.812884 + 0.295866i
\(448\) 2.64022 + 2.21541i 0.124739 + 0.104668i
\(449\) 4.84053 27.4520i 0.228439 1.29554i −0.627563 0.778566i \(-0.715948\pi\)
0.856002 0.516973i \(-0.172941\pi\)
\(450\) −0.533001 −0.0251259
\(451\) 5.18310 29.3948i 0.244063 1.38415i
\(452\) 2.55737 + 4.42950i 0.120289 + 0.208346i
\(453\) −13.5745 + 11.3903i −0.637784 + 0.535164i
\(454\) 1.15640 2.00295i 0.0542726 0.0940029i
\(455\) −11.2408 19.4697i −0.526978 0.912752i
\(456\) 12.8325 + 4.67065i 0.600937 + 0.218723i
\(457\) 7.48390 + 6.27974i 0.350082 + 0.293754i 0.800823 0.598901i \(-0.204396\pi\)
−0.450741 + 0.892655i \(0.648840\pi\)
\(458\) 2.95547 5.11902i 0.138100 0.239196i
\(459\) −2.60251 14.7596i −0.121475 0.688917i
\(460\) 0.210020 + 1.19108i 0.00979221 + 0.0555344i
\(461\) 11.8337 9.92965i 0.551150 0.462470i −0.324180 0.945995i \(-0.605088\pi\)
0.875330 + 0.483525i \(0.160644\pi\)
\(462\) −16.6877 + 6.07381i −0.776380 + 0.282579i
\(463\) −17.2009 + 6.26063i −0.799395 + 0.290956i −0.709236 0.704971i \(-0.750960\pi\)
−0.0901595 + 0.995927i \(0.528738\pi\)
\(464\) 1.66154 1.39420i 0.0771351 0.0647240i
\(465\) 5.92933 + 33.6269i 0.274966 + 1.55941i
\(466\) −4.92045 27.9053i −0.227935 1.29269i
\(467\) −11.8035 + 20.4443i −0.546201 + 0.946048i 0.452329 + 0.891851i \(0.350593\pi\)
−0.998530 + 0.0541966i \(0.982740\pi\)
\(468\) −0.965403 0.810069i −0.0446257 0.0374454i
\(469\) −0.683436 0.248750i −0.0315581 0.0114862i
\(470\) −7.38263 12.7871i −0.340535 0.589824i
\(471\) −8.05949 + 13.9594i −0.371362 + 0.643217i
\(472\) 0.423960 0.355745i 0.0195143 0.0163745i
\(473\) 11.6666 + 20.2072i 0.536432 + 0.929128i
\(474\) 0.606600 3.44020i 0.0278621 0.158014i
\(475\) −10.9309 −0.501544
\(476\) −1.85487 + 10.5195i −0.0850180 + 0.482161i
\(477\) 1.34455 + 1.12821i 0.0615628 + 0.0516573i
\(478\) −22.7763 + 8.28990i −1.04176 + 0.379171i
\(479\) 8.16238 + 2.97086i 0.372949 + 0.135742i 0.521693 0.853134i \(-0.325301\pi\)
−0.148744 + 0.988876i \(0.547523\pi\)
\(480\) 3.44656 0.157313
\(481\) −5.49006 + 20.3856i −0.250325 + 0.929502i
\(482\) 8.85069 0.403138
\(483\) −3.82222 1.39117i −0.173917 0.0633006i
\(484\) 2.91850 1.06225i 0.132659 0.0482840i
\(485\) −24.5609 20.6090i −1.11525 0.935807i
\(486\) 0.651791 3.69649i 0.0295658 0.167676i
\(487\) 20.9350 0.948654 0.474327 0.880349i \(-0.342691\pi\)
0.474327 + 0.880349i \(0.342691\pi\)
\(488\) 1.21751 6.90485i 0.0551142 0.312568i
\(489\) −1.74875 3.02892i −0.0790812 0.136973i
\(490\) −7.02393 + 5.89378i −0.317309 + 0.266254i
\(491\) −21.6055 + 37.4219i −0.975044 + 1.68883i −0.295253 + 0.955419i \(0.595404\pi\)
−0.679791 + 0.733406i \(0.737930\pi\)
\(492\) −9.74104 16.8720i −0.439160 0.760647i
\(493\) 6.31686 + 2.29915i 0.284497 + 0.103548i
\(494\) −19.7987 16.6131i −0.890784 0.747457i
\(495\) −0.958667 + 1.66046i −0.0430889 + 0.0746321i
\(496\) 1.72036 + 9.75665i 0.0772465 + 0.438087i
\(497\) 3.02652 + 17.1643i 0.135758 + 0.769922i
\(498\) −9.56642 + 8.02718i −0.428682 + 0.359707i
\(499\) 6.35892 2.31446i 0.284664 0.103609i −0.195742 0.980655i \(-0.562711\pi\)
0.480406 + 0.877046i \(0.340489\pi\)
\(500\) −11.4226 + 4.15749i −0.510835 + 0.185929i
\(501\) −9.31069 + 7.81260i −0.415971 + 0.349041i
\(502\) 1.14443 + 6.49037i 0.0510783 + 0.289679i
\(503\) −4.76565 27.0274i −0.212490 1.20509i −0.885209 0.465193i \(-0.845985\pi\)
0.672719 0.739898i \(-0.265126\pi\)
\(504\) −0.625726 + 1.08379i −0.0278720 + 0.0482758i
\(505\) −17.2449 14.4702i −0.767390 0.643917i
\(506\) −1.69908 0.618414i −0.0755333 0.0274919i
\(507\) −0.874506 1.51469i −0.0388382 0.0672697i
\(508\) 3.54760 6.14462i 0.157399 0.272623i
\(509\) 16.0780 13.4910i 0.712643 0.597978i −0.212696 0.977118i \(-0.568225\pi\)
0.925339 + 0.379140i \(0.123780\pi\)
\(510\) 5.34090 + 9.25071i 0.236499 + 0.409628i
\(511\) 6.12236 34.7216i 0.270837 1.53599i
\(512\) 1.00000 0.0441942
\(513\) 6.25301 35.4626i 0.276077 1.56571i
\(514\) 7.37373 + 6.18729i 0.325241 + 0.272910i
\(515\) 22.8608 8.32066i 1.00737 0.366652i
\(516\) 14.3112 + 5.20886i 0.630017 + 0.229307i
\(517\) 22.0739 0.970809
\(518\) 20.8825 + 1.85372i 0.917524 + 0.0814477i
\(519\) −46.5975 −2.04540
\(520\) −6.12954 2.23097i −0.268798 0.0978345i
\(521\) 35.3011 12.8486i 1.54657 0.562906i 0.578961 0.815355i \(-0.303458\pi\)
0.967610 + 0.252449i \(0.0812361\pi\)
\(522\) 0.603308 + 0.506235i 0.0264061 + 0.0221573i
\(523\) 3.28508 18.6306i 0.143647 0.814660i −0.824797 0.565428i \(-0.808711\pi\)
0.968444 0.249232i \(-0.0801781\pi\)
\(524\) 17.4639 0.762912
\(525\) 1.61111 9.13707i 0.0703147 0.398774i
\(526\) 0.795631 + 1.37807i 0.0346912 + 0.0600869i
\(527\) −23.5213 + 19.7367i −1.02460 + 0.859746i
\(528\) −2.57629 + 4.46226i −0.112118 + 0.194195i
\(529\) 11.2929 + 19.5599i 0.490997 + 0.850432i
\(530\) 8.53684 + 3.10716i 0.370817 + 0.134966i
\(531\) 0.153940 + 0.129171i 0.00668045 + 0.00560556i
\(532\) −12.8325 + 22.2266i −0.556360 + 0.963643i
\(533\) 6.40268 + 36.3114i 0.277331 + 1.57282i
\(534\) 3.08505 + 17.4962i 0.133503 + 0.757134i
\(535\) −22.4973 + 18.8775i −0.972643 + 0.816144i
\(536\) −0.198295 + 0.0721735i −0.00856505 + 0.00311742i
\(537\) 14.0015 5.09613i 0.604210 0.219914i
\(538\) 17.7108 14.8611i 0.763566 0.640708i
\(539\) −2.38032 13.4994i −0.102528 0.581462i
\(540\) −1.57815 8.95016i −0.0679129 0.385153i
\(541\) −8.23739 + 14.2676i −0.354153 + 0.613411i −0.986973 0.160888i \(-0.948564\pi\)
0.632820 + 0.774299i \(0.281897\pi\)
\(542\) 0.140511 + 0.117903i 0.00603547 + 0.00506436i
\(543\) 20.5188 + 7.46825i 0.880548 + 0.320493i
\(544\) 1.54963 + 2.68404i 0.0664399 + 0.115077i
\(545\) 1.45663 2.52296i 0.0623951 0.108072i
\(546\) 16.8049 14.1010i 0.719184 0.603467i
\(547\) 6.00067 + 10.3935i 0.256570 + 0.444392i 0.965321 0.261067i \(-0.0840742\pi\)
−0.708751 + 0.705459i \(0.750741\pi\)
\(548\) 1.71166 9.70729i 0.0731184 0.414675i
\(549\) 2.54584 0.108654
\(550\) 0.716183 4.06167i 0.0305381 0.173190i
\(551\) 12.3728 + 10.3820i 0.527097 + 0.442287i
\(552\) −1.10899 + 0.403641i −0.0472020 + 0.0171801i
\(553\) 6.16927 + 2.24543i 0.262344 + 0.0954855i
\(554\) −12.6914 −0.539204
\(555\) 17.1885 12.0030i 0.729610 0.509498i
\(556\) −8.99490 −0.381469
\(557\) 40.2026 + 14.6325i 1.70344 + 0.620001i 0.996210 0.0869842i \(-0.0277230\pi\)
0.707229 + 0.706985i \(0.249945\pi\)
\(558\) −3.38036 + 1.23035i −0.143102 + 0.0520849i
\(559\) −22.0801 18.5274i −0.933890 0.783627i
\(560\) −1.12479 + 6.37901i −0.0475311 + 0.269562i
\(561\) −15.9692 −0.674219
\(562\) 3.02774 17.1712i 0.127718 0.724323i
\(563\) −11.8738 20.5660i −0.500421 0.866754i −1.00000 0.000486132i \(-0.999845\pi\)
0.499579 0.866268i \(-0.333488\pi\)
\(564\) 11.0369 9.26110i 0.464739 0.389963i
\(565\) −4.80629 + 8.32474i −0.202202 + 0.350224i
\(566\) 6.56696 + 11.3743i 0.276030 + 0.478098i
\(567\) 32.2493 + 11.7378i 1.35434 + 0.492941i
\(568\) 3.87384 + 3.25054i 0.162543 + 0.136389i
\(569\) 2.64332 4.57837i 0.110814 0.191935i −0.805285 0.592888i \(-0.797988\pi\)
0.916099 + 0.400953i \(0.131321\pi\)
\(570\) 4.45668 + 25.2751i 0.186670 + 1.05866i
\(571\) −4.21057 23.8793i −0.176207 0.999318i −0.936742 0.350021i \(-0.886174\pi\)
0.760535 0.649297i \(-0.224937\pi\)
\(572\) 7.47024 6.26827i 0.312346 0.262090i
\(573\) 0.459636 0.167294i 0.0192016 0.00698880i
\(574\) 34.4062 12.5228i 1.43609 0.522693i
\(575\) 0.723648 0.607213i 0.0301782 0.0253225i
\(576\) 0.0630519 + 0.357585i 0.00262716 + 0.0148994i
\(577\) −0.296836 1.68344i −0.0123574 0.0700825i 0.978005 0.208579i \(-0.0668840\pi\)
−0.990363 + 0.138497i \(0.955773\pi\)
\(578\) 3.69728 6.40388i 0.153787 0.266366i
\(579\) −11.1380 9.34588i −0.462879 0.388402i
\(580\) 3.83053 + 1.39420i 0.159054 + 0.0578909i
\(581\) −11.7350 20.3255i −0.486848 0.843245i
\(582\) 15.6428 27.0941i 0.648414 1.12309i
\(583\) −10.4041 + 8.73005i −0.430893 + 0.361562i
\(584\) −5.11485 8.85918i −0.211654 0.366595i
\(585\) 0.411283 2.33250i 0.0170044 0.0964370i
\(586\) 6.78723 0.280378
\(587\) 4.51530 25.6076i 0.186366 1.05694i −0.737821 0.674997i \(-0.764145\pi\)
0.924187 0.381940i \(-0.124744\pi\)
\(588\) −6.85385 5.75106i −0.282648 0.237170i
\(589\) −69.3251 + 25.2323i −2.85649 + 1.03968i
\(590\) 0.977400 + 0.355745i 0.0402389 + 0.0146458i
\(591\) 0.754877 0.0310515
\(592\) 4.98714 3.48260i 0.204970 0.143134i
\(593\) 19.5933 0.804601 0.402300 0.915508i \(-0.368211\pi\)
0.402300 + 0.915508i \(0.368211\pi\)
\(594\) 12.7674 + 4.64696i 0.523854 + 0.190667i
\(595\) −18.8645 + 6.86613i −0.773370 + 0.281484i
\(596\) −7.63977 6.41053i −0.312937 0.262586i
\(597\) 0.648053 3.67529i 0.0265231 0.150420i
\(598\) 2.23357 0.0913376
\(599\) 6.43804 36.5119i 0.263051 1.49184i −0.511477 0.859297i \(-0.670901\pi\)
0.774528 0.632540i \(-0.217988\pi\)
\(600\) −1.34598 2.33131i −0.0549495 0.0951754i
\(601\) −14.1667 + 11.8873i −0.577871 + 0.484892i −0.884247 0.467019i \(-0.845328\pi\)
0.306376 + 0.951911i \(0.400884\pi\)
\(602\) −14.3112 + 24.7878i −0.583282 + 1.01027i
\(603\) −0.0383111 0.0663567i −0.00156015 0.00270226i
\(604\) −9.07997 3.30484i −0.369459 0.134472i
\(605\) 4.47140 + 3.75195i 0.181788 + 0.152539i
\(606\) 10.9833 19.0236i 0.446165 0.772781i
\(607\) 0.923385 + 5.23678i 0.0374791 + 0.212554i 0.997796 0.0663569i \(-0.0211376\pi\)
−0.960317 + 0.278911i \(0.910026\pi\)
\(608\) 1.29308 + 7.33343i 0.0524414 + 0.297410i
\(609\) −10.5019 + 8.81212i −0.425557 + 0.357085i
\(610\) 12.3824 4.50682i 0.501348 0.182476i
\(611\) −25.6234 + 9.32617i −1.03661 + 0.377296i
\(612\) −0.862066 + 0.723359i −0.0348470 + 0.0292401i
\(613\) 7.01848 + 39.8038i 0.283474 + 1.60766i 0.710687 + 0.703508i \(0.248384\pi\)
−0.427213 + 0.904151i \(0.640505\pi\)
\(614\) 1.42476 + 8.08020i 0.0574985 + 0.326090i
\(615\) 18.3072 31.7089i 0.738216 1.27863i
\(616\) −7.41812 6.22454i −0.298884 0.250794i
\(617\) 30.8191 + 11.2172i 1.24073 + 0.451589i 0.877259 0.480017i \(-0.159370\pi\)
0.363470 + 0.931606i \(0.381592\pi\)
\(618\) 11.8694 + 20.5585i 0.477459 + 0.826984i
\(619\) 2.07537 3.59465i 0.0834163 0.144481i −0.821299 0.570498i \(-0.806750\pi\)
0.904715 + 0.426017i \(0.140084\pi\)
\(620\) −14.2633 + 11.9683i −0.572827 + 0.480659i
\(621\) 1.55599 + 2.69506i 0.0624398 + 0.108149i
\(622\) −1.88461 + 10.6882i −0.0755660 + 0.428556i
\(623\) −33.3893 −1.33772
\(624\) 1.10527 6.26827i 0.0442460 0.250932i
\(625\) −11.8780 9.96686i −0.475122 0.398674i
\(626\) 8.13361 2.96039i 0.325085 0.118321i
\(627\) −36.0550 13.1229i −1.43990 0.524080i
\(628\) −8.78957 −0.350742
\(629\) 17.0757 + 7.98893i 0.680851 + 0.318540i
\(630\) −2.35196 −0.0937043
\(631\) −28.1162 10.2335i −1.11929 0.407387i −0.284896 0.958559i \(-0.591959\pi\)
−0.834392 + 0.551171i \(0.814181\pi\)
\(632\) 1.78998 0.651500i 0.0712016 0.0259153i
\(633\) 22.1135 + 18.5554i 0.878932 + 0.737512i
\(634\) −4.41505 + 25.0390i −0.175344 + 0.994425i
\(635\) 13.3346 0.529168
\(636\) −1.53934 + 8.73005i −0.0610390 + 0.346169i
\(637\) 8.46656 + 14.6645i 0.335457 + 0.581029i
\(638\) −4.66837 + 3.91722i −0.184822 + 0.155084i
\(639\) −0.918091 + 1.59018i −0.0363191 + 0.0629065i
\(640\) 0.939693 + 1.62760i 0.0371446 + 0.0643364i
\(641\) −6.42331 2.33789i −0.253705 0.0923412i 0.212037 0.977262i \(-0.431990\pi\)
−0.465742 + 0.884920i \(0.654213\pi\)
\(642\) −21.9525 18.4203i −0.866397 0.726993i
\(643\) −18.7592 + 32.4920i −0.739792 + 1.28136i 0.212796 + 0.977097i \(0.431743\pi\)
−0.952589 + 0.304262i \(0.901590\pi\)
\(644\) −0.385150 2.18429i −0.0151770 0.0860732i
\(645\) 4.97024 + 28.1876i 0.195703 + 1.10989i
\(646\) −17.6794 + 14.8348i −0.695588 + 0.583667i
\(647\) −2.48480 + 0.904395i −0.0976877 + 0.0355554i −0.390402 0.920645i \(-0.627664\pi\)
0.292714 + 0.956200i \(0.405442\pi\)
\(648\) 9.35695 3.40565i 0.367576 0.133787i
\(649\) −1.19118 + 0.999522i −0.0467580 + 0.0392347i
\(650\) 0.884701 + 5.01739i 0.0347008 + 0.196798i
\(651\) −10.8736 61.6675i −0.426172 2.41694i
\(652\) 0.953582 1.65165i 0.0373451 0.0646837i
\(653\) −34.2792 28.7636i −1.34145 1.12561i −0.981251 0.192732i \(-0.938265\pi\)
−0.360197 0.932876i \(-0.617290\pi\)
\(654\) 2.67128 + 0.972265i 0.104455 + 0.0380186i
\(655\) 16.4107 + 28.4241i 0.641218 + 1.11062i
\(656\) 5.31172 9.20017i 0.207388 0.359206i
\(657\) 2.84541 2.38758i 0.111010 0.0931485i
\(658\) 13.5388 + 23.4499i 0.527798 + 0.914173i
\(659\) −0.790306 + 4.48205i −0.0307859 + 0.174596i −0.996324 0.0856667i \(-0.972698\pi\)
0.965538 + 0.260262i \(0.0838091\pi\)
\(660\) −9.68366 −0.376936
\(661\) −7.56467 + 42.9014i −0.294231 + 1.66867i 0.376078 + 0.926588i \(0.377272\pi\)
−0.670310 + 0.742082i \(0.733839\pi\)
\(662\) −15.9349 13.3710i −0.619327 0.519677i
\(663\) 18.5371 6.74694i 0.719919 0.262029i
\(664\) −6.39899 2.32904i −0.248329 0.0903843i
\(665\) −48.2344 −1.87045
\(666\) 1.55977 + 1.56374i 0.0604400 + 0.0605938i
\(667\) −1.39582 −0.0540465
\(668\) −6.22793 2.26678i −0.240966 0.0877044i
\(669\) −5.92000 + 2.15470i −0.228880 + 0.0833057i
\(670\) −0.303806 0.254923i −0.0117370 0.00984855i
\(671\) −3.42080 + 19.4003i −0.132058 + 0.748940i
\(672\) −6.32056 −0.243821
\(673\) 6.60813 37.4766i 0.254725 1.44462i −0.542053 0.840344i \(-0.682353\pi\)
0.796778 0.604272i \(-0.206536\pi\)
\(674\) 1.23612 + 2.14103i 0.0476136 + 0.0824693i
\(675\) −5.43772 + 4.56279i −0.209298 + 0.175622i
\(676\) 0.476862 0.825949i 0.0183408 0.0317673i
\(677\) −22.0131 38.1278i −0.846032 1.46537i −0.884722 0.466120i \(-0.845652\pi\)
0.0386894 0.999251i \(-0.487682\pi\)
\(678\) −8.81414 3.20809i −0.338505 0.123206i
\(679\) 45.0416 + 37.7944i 1.72854 + 1.45042i
\(680\) −2.91235 + 5.04435i −0.111684 + 0.193442i
\(681\) 0.736510 + 4.17696i 0.0282231 + 0.160061i
\(682\) −4.83363 27.4129i −0.185089 1.04969i
\(683\) 14.4021 12.0848i 0.551081 0.462412i −0.324226 0.945980i \(-0.605104\pi\)
0.875307 + 0.483568i \(0.160659\pi\)
\(684\) −2.54079 + 0.924774i −0.0971497 + 0.0353596i
\(685\) 17.4080 6.33598i 0.665125 0.242086i
\(686\) −5.60050 + 4.69938i −0.213828 + 0.179423i
\(687\) 1.88233 + 10.6752i 0.0718155 + 0.407286i
\(688\) 1.44209 + 8.17848i 0.0549791 + 0.311802i
\(689\) 8.38865 14.5296i 0.319582 0.553532i
\(690\) −1.69908 1.42570i −0.0646828 0.0542753i
\(691\) −25.3128 9.21310i −0.962944 0.350483i −0.187757 0.982215i \(-0.560122\pi\)
−0.775186 + 0.631733i \(0.782344\pi\)
\(692\) −12.7046 22.0051i −0.482958 0.836508i
\(693\) 1.75808 3.04508i 0.0667838 0.115673i
\(694\) −4.48427 + 3.76275i −0.170220 + 0.142832i
\(695\) −8.45244 14.6401i −0.320619 0.555329i
\(696\) −0.690712 + 3.91722i −0.0261814 + 0.148482i
\(697\) 32.9248 1.24712
\(698\) 0.545283 3.09246i 0.0206393 0.117051i
\(699\) 39.8069 + 33.4020i 1.50564 + 1.26338i
\(700\) 4.75413 1.73036i 0.179689 0.0654016i
\(701\) −6.98332 2.54172i −0.263756 0.0959995i 0.206757 0.978392i \(-0.433709\pi\)
−0.470513 + 0.882393i \(0.655931\pi\)
\(702\) −16.7838 −0.633463
\(703\) 31.9881 + 32.0695i 1.20646 + 1.20953i
\(704\) −2.80966 −0.105893
\(705\) 25.4447 + 9.26110i 0.958302 + 0.348793i
\(706\) 10.5699 3.84713i 0.397804 0.144789i
\(707\) 31.6251 + 26.5366i 1.18938 + 0.998012i
\(708\) −0.176243 + 0.999522i −0.00662360 + 0.0375643i
\(709\) 0.834473 0.0313393 0.0156697 0.999877i \(-0.495012\pi\)
0.0156697 + 0.999877i \(0.495012\pi\)
\(710\) −1.65034 + 9.35955i −0.0619362 + 0.351258i
\(711\) 0.345828 + 0.598992i 0.0129696 + 0.0224640i
\(712\) −7.42123 + 6.22715i −0.278122 + 0.233372i
\(713\) 3.18781 5.52146i 0.119385 0.206780i
\(714\) −9.79455 16.9646i −0.366552 0.634886i
\(715\) 17.2219 + 6.26827i 0.644064 + 0.234420i
\(716\) 6.22405 + 5.22260i 0.232604 + 0.195178i
\(717\) 22.2248 38.4945i 0.830000 1.43760i
\(718\) −4.01012 22.7425i −0.149656 0.848743i
\(719\) −0.874879 4.96169i −0.0326275 0.185040i 0.964138 0.265400i \(-0.0855040\pi\)
−0.996766 + 0.0803603i \(0.974393\pi\)
\(720\) −0.522755 + 0.438643i −0.0194819 + 0.0163473i
\(721\) −41.9239 + 15.2591i −1.56133 + 0.568277i
\(722\) −34.2530 + 12.4671i −1.27476 + 0.463976i
\(723\) −12.4337 + 10.4331i −0.462415 + 0.388012i
\(724\) 2.06760 + 11.7260i 0.0768419 + 0.435792i
\(725\) −0.552875 3.13551i −0.0205333 0.116450i
\(726\) −2.84783 + 4.93259i −0.105693 + 0.183065i
\(727\) 14.2591 + 11.9648i 0.528842 + 0.443751i 0.867701 0.497086i \(-0.165597\pi\)
−0.338860 + 0.940837i \(0.610041\pi\)
\(728\) 11.2408 + 4.09132i 0.416613 + 0.151635i
\(729\) −11.4945 19.9090i −0.425720 0.737369i
\(730\) 9.61277 16.6498i 0.355785 0.616237i
\(731\) −19.7167 + 16.5443i −0.729248 + 0.611912i
\(732\) 6.42899 + 11.1353i 0.237622 + 0.411574i
\(733\) 0.797139 4.52080i 0.0294430 0.166980i −0.966541 0.256513i \(-0.917426\pi\)
0.995984 + 0.0895332i \(0.0285375\pi\)
\(734\) 1.57151 0.0580054
\(735\) 2.91989 16.5595i 0.107702 0.610807i
\(736\) −0.492978 0.413658i −0.0181714 0.0152476i
\(737\) 0.557142 0.202783i 0.0205226 0.00746961i
\(738\) 3.62476 + 1.31930i 0.133429 + 0.0485643i
\(739\) −46.9098 −1.72560 −0.862802 0.505542i \(-0.831292\pi\)
−0.862802 + 0.505542i \(0.831292\pi\)
\(740\) 10.3546 + 4.84447i 0.380644 + 0.178086i
\(741\) 47.3971 1.74118
\(742\) −15.6555 5.69814i −0.574732 0.209185i
\(743\) −4.69037 + 1.70716i −0.172073 + 0.0626295i −0.426620 0.904431i \(-0.640296\pi\)
0.254547 + 0.967060i \(0.418074\pi\)
\(744\) −13.9179 11.6785i −0.510254 0.428154i
\(745\) 3.25471 18.4584i 0.119243 0.676263i
\(746\) 6.69192 0.245009
\(747\) 0.429362 2.43503i 0.0157095 0.0890932i
\(748\) −4.35394 7.54125i −0.159196 0.275735i
\(749\) 41.2572 34.6189i 1.50751 1.26495i
\(750\) 11.1460 19.3055i 0.406995 0.704936i
\(751\) −9.41422 16.3059i −0.343530 0.595011i 0.641556 0.767077i \(-0.278289\pi\)
−0.985086 + 0.172065i \(0.944956\pi\)
\(752\) 7.38263 + 2.68706i 0.269217 + 0.0979869i
\(753\) −9.25853 7.76883i −0.337400 0.283112i
\(754\) 3.76403 6.51950i 0.137078 0.237426i
\(755\) −3.15344 17.8841i −0.114766 0.650867i
\(756\) 2.89414 + 16.4135i 0.105259 + 0.596952i
\(757\) 0.598778 0.502435i 0.0217630 0.0182613i −0.631841 0.775098i \(-0.717701\pi\)
0.653604 + 0.756837i \(0.273256\pi\)
\(758\) 10.3103 3.75263i 0.374486 0.136302i
\(759\) 3.11590 1.13409i 0.113100 0.0411650i
\(760\) −10.7208 + 8.99578i −0.388883 + 0.326311i
\(761\) −5.27399 29.9103i −0.191182 1.08425i −0.917752 0.397154i \(-0.869998\pi\)
0.726570 0.687092i \(-0.241113\pi\)
\(762\) 2.25946 + 12.8140i 0.0818516 + 0.464203i
\(763\) −2.67128 + 4.62679i −0.0967067 + 0.167501i
\(764\) 0.204321 + 0.171445i 0.00739206 + 0.00620267i
\(765\) −1.98741 0.723359i −0.0718551 0.0261531i
\(766\) 12.6285 + 21.8733i 0.456287 + 0.790313i
\(767\) 0.960433 1.66352i 0.0346792 0.0600662i
\(768\) −1.40483 + 1.17879i −0.0506925 + 0.0425360i
\(769\) 7.98228 + 13.8257i 0.287848 + 0.498568i 0.973296 0.229554i \(-0.0737268\pi\)