Properties

Label 576.2.bm.a.205.74
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.74
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.74

$q$-expansion

\(f(q)\) \(=\) \(q+(1.07853 - 0.914752i) q^{2} +(-1.71952 + 0.208009i) q^{3} +(0.326458 - 1.97318i) q^{4} +(1.32420 + 1.50996i) q^{5} +(-1.66427 + 1.79727i) q^{6} +(-3.08898 - 0.406671i) q^{7} +(-1.45287 - 2.42676i) q^{8} +(2.91346 - 0.715350i) q^{9} +O(q^{10})\) \(q+(1.07853 - 0.914752i) q^{2} +(-1.71952 + 0.208009i) q^{3} +(0.326458 - 1.97318i) q^{4} +(1.32420 + 1.50996i) q^{5} +(-1.66427 + 1.79727i) q^{6} +(-3.08898 - 0.406671i) q^{7} +(-1.45287 - 2.42676i) q^{8} +(2.91346 - 0.715350i) q^{9} +(2.80943 + 0.417225i) q^{10} +(-2.05267 - 4.16240i) q^{11} +(-0.150910 + 3.46081i) q^{12} +(0.0196135 + 0.0577796i) q^{13} +(-3.70356 + 2.38704i) q^{14} +(-2.59107 - 2.32095i) q^{15} +(-3.78685 - 1.28832i) q^{16} +(-2.39965 - 2.39965i) q^{17} +(2.48789 - 3.43662i) q^{18} +(0.881841 - 4.43331i) q^{19} +(3.41171 - 2.11994i) q^{20} +(5.39613 + 0.0567420i) q^{21} +(-6.02143 - 2.61160i) q^{22} +(-0.0159916 - 0.121468i) q^{23} +(3.00302 + 3.87064i) q^{24} +(0.126155 - 0.958245i) q^{25} +(0.0740078 + 0.0443756i) q^{26} +(-4.86095 + 1.83608i) q^{27} +(-1.81085 + 5.96233i) q^{28} +(-1.97603 + 0.129516i) q^{29} +(-4.91764 - 0.133037i) q^{30} +(1.81908 - 1.05024i) q^{31} +(-5.26273 + 2.07454i) q^{32} +(4.39541 + 6.73034i) q^{33} +(-4.78319 - 0.393013i) q^{34} +(-3.47636 - 5.20274i) q^{35} +(-0.460389 - 5.98231i) q^{36} +(0.634863 + 3.19167i) q^{37} +(-3.10429 - 5.58813i) q^{38} +(-0.0457445 - 0.0952731i) q^{39} +(1.74042 - 5.40729i) q^{40} +(-0.752383 - 5.71491i) q^{41} +(5.87180 - 4.87492i) q^{42} +(-6.77492 + 3.34102i) q^{43} +(-8.88326 + 2.69143i) q^{44} +(4.93816 + 3.45195i) q^{45} +(-0.128361 - 0.116379i) q^{46} +(8.22030 - 2.20262i) q^{47} +(6.77953 + 1.42758i) q^{48} +(2.61491 + 0.700662i) q^{49} +(-0.740494 - 1.14890i) q^{50} +(4.62539 + 3.62709i) q^{51} +(0.120412 - 0.0198384i) q^{52} +(-5.66087 + 8.47209i) q^{53} +(-3.56312 + 6.42683i) q^{54} +(3.56692 - 8.61130i) q^{55} +(3.50099 + 8.08704i) q^{56} +(-0.594168 + 7.80658i) q^{57} +(-2.01273 + 1.94726i) q^{58} +(7.29793 + 8.32170i) q^{59} +(-5.42553 + 4.35494i) q^{60} +(-0.316358 - 4.82669i) q^{61} +(1.00122 - 2.79673i) q^{62} +(-9.29053 + 1.02488i) q^{63} +(-3.77832 + 7.05154i) q^{64} +(-0.0612727 + 0.106127i) q^{65} +(10.8972 + 3.23816i) q^{66} +(9.75443 + 4.81035i) q^{67} +(-5.51833 + 3.95156i) q^{68} +(0.0527642 + 0.205540i) q^{69} +(-8.50859 - 2.43131i) q^{70} +(3.83837 + 9.26665i) q^{71} +(-5.96887 - 6.03096i) q^{72} +(6.33975 - 15.3055i) q^{73} +(3.60431 + 2.86157i) q^{74} +(-0.0176022 + 1.67396i) q^{75} +(-8.45982 - 3.18732i) q^{76} +(4.64792 + 13.6923i) q^{77} +(-0.136488 - 0.0609102i) q^{78} +(-4.35111 - 16.2386i) q^{79} +(-3.06924 - 7.42398i) q^{80} +(7.97655 - 4.16829i) q^{81} +(-6.03920 - 5.47547i) q^{82} +(-3.51762 - 3.08487i) q^{83} +(1.87357 - 10.6290i) q^{84} +(0.445761 - 6.80100i) q^{85} +(-4.25076 + 9.80077i) q^{86} +(3.37087 - 0.633736i) q^{87} +(-7.11888 + 11.0288i) q^{88} +(-3.30441 + 1.36873i) q^{89} +(8.48364 - 0.794157i) q^{90} +(-0.0370884 - 0.186456i) q^{91} +(-0.244899 - 0.00809999i) q^{92} +(-2.90947 + 2.18430i) q^{93} +(6.85099 - 9.89513i) q^{94} +(7.86186 - 4.53905i) q^{95} +(8.61781 - 4.66190i) q^{96} +(3.87912 + 2.23961i) q^{97} +(3.46119 - 1.63630i) q^{98} +(-8.95795 - 10.6586i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.07853 0.914752i 0.762636 0.646827i
\(3\) −1.71952 + 0.208009i −0.992763 + 0.120094i
\(4\) 0.326458 1.97318i 0.163229 0.986588i
\(5\) 1.32420 + 1.50996i 0.592200 + 0.675275i 0.967862 0.251482i \(-0.0809179\pi\)
−0.375662 + 0.926757i \(0.622585\pi\)
\(6\) −1.66427 + 1.79727i −0.679437 + 0.733734i
\(7\) −3.08898 0.406671i −1.16752 0.153707i −0.478260 0.878218i \(-0.658732\pi\)
−0.689263 + 0.724511i \(0.742066\pi\)
\(8\) −1.45287 2.42676i −0.513668 0.857989i
\(9\) 2.91346 0.715350i 0.971155 0.238450i
\(10\) 2.80943 + 0.417225i 0.888420 + 0.131938i
\(11\) −2.05267 4.16240i −0.618903 1.25501i −0.950246 0.311501i \(-0.899168\pi\)
0.331343 0.943510i \(-0.392498\pi\)
\(12\) −0.150910 + 3.46081i −0.0435640 + 0.999051i
\(13\) 0.0196135 + 0.0577796i 0.00543982 + 0.0160252i 0.949616 0.313415i \(-0.101473\pi\)
−0.944176 + 0.329441i \(0.893140\pi\)
\(14\) −3.70356 + 2.38704i −0.989818 + 0.637963i
\(15\) −2.59107 2.32095i −0.669011 0.599268i
\(16\) −3.78685 1.28832i −0.946713 0.322079i
\(17\) −2.39965 2.39965i −0.582002 0.582002i 0.353451 0.935453i \(-0.385008\pi\)
−0.935453 + 0.353451i \(0.885008\pi\)
\(18\) 2.48789 3.43662i 0.586402 0.810020i
\(19\) 0.881841 4.43331i 0.202308 1.01707i −0.737494 0.675353i \(-0.763991\pi\)
0.939802 0.341718i \(-0.111009\pi\)
\(20\) 3.41171 2.11994i 0.762882 0.474033i
\(21\) 5.39613 + 0.0567420i 1.17753 + 0.0123821i
\(22\) −6.02143 2.61160i −1.28377 0.556794i
\(23\) −0.0159916 0.121468i −0.00333447 0.0253278i 0.989697 0.143179i \(-0.0457326\pi\)
−0.993031 + 0.117852i \(0.962399\pi\)
\(24\) 3.00302 + 3.87064i 0.612990 + 0.790091i
\(25\) 0.126155 0.958245i 0.0252311 0.191649i
\(26\) 0.0740078 + 0.0443756i 0.0145141 + 0.00870277i
\(27\) −4.86095 + 1.83608i −0.935490 + 0.353354i
\(28\) −1.81085 + 5.96233i −0.342219 + 1.12677i
\(29\) −1.97603 + 0.129516i −0.366939 + 0.0240505i −0.247758 0.968822i \(-0.579694\pi\)
−0.119181 + 0.992872i \(0.538027\pi\)
\(30\) −4.91764 0.133037i −0.897835 0.0242891i
\(31\) 1.81908 1.05024i 0.326716 0.188630i −0.327666 0.944794i \(-0.606262\pi\)
0.654382 + 0.756164i \(0.272929\pi\)
\(32\) −5.26273 + 2.07454i −0.930327 + 0.366730i
\(33\) 4.39541 + 6.73034i 0.765143 + 1.17160i
\(34\) −4.78319 0.393013i −0.820310 0.0674011i
\(35\) −3.47636 5.20274i −0.587613 0.879424i
\(36\) −0.460389 5.98231i −0.0767315 0.997052i
\(37\) 0.634863 + 3.19167i 0.104371 + 0.524708i 0.997231 + 0.0743726i \(0.0236954\pi\)
−0.892860 + 0.450335i \(0.851305\pi\)
\(38\) −3.10429 5.58813i −0.503582 0.906514i
\(39\) −0.0457445 0.0952731i −0.00732498 0.0152559i
\(40\) 1.74042 5.40729i 0.275184 0.854968i
\(41\) −0.752383 5.71491i −0.117502 0.892519i −0.944085 0.329703i \(-0.893051\pi\)
0.826582 0.562816i \(-0.190282\pi\)
\(42\) 5.87180 4.87492i 0.906038 0.752217i
\(43\) −6.77492 + 3.34102i −1.03317 + 0.509501i −0.878137 0.478409i \(-0.841214\pi\)
−0.155029 + 0.987910i \(0.549547\pi\)
\(44\) −8.88326 + 2.69143i −1.33920 + 0.405748i
\(45\) 4.93816 + 3.45195i 0.736137 + 0.514586i
\(46\) −0.128361 0.116379i −0.0189257 0.0171591i
\(47\) 8.22030 2.20262i 1.19905 0.321285i 0.396595 0.917994i \(-0.370192\pi\)
0.802458 + 0.596708i \(0.203525\pi\)
\(48\) 6.77953 + 1.42758i 0.978541 + 0.206054i
\(49\) 2.61491 + 0.700662i 0.373558 + 0.100095i
\(50\) −0.740494 1.14890i −0.104722 0.162479i
\(51\) 4.62539 + 3.62709i 0.647684 + 0.507894i
\(52\) 0.120412 0.0198384i 0.0166982 0.00275109i
\(53\) −5.66087 + 8.47209i −0.777580 + 1.16373i 0.205158 + 0.978729i \(0.434229\pi\)
−0.982738 + 0.185002i \(0.940771\pi\)
\(54\) −3.56312 + 6.42683i −0.484879 + 0.874581i
\(55\) 3.56692 8.61130i 0.480963 1.16115i
\(56\) 3.50099 + 8.08704i 0.467840 + 1.08068i
\(57\) −0.594168 + 7.80658i −0.0786995 + 1.03401i
\(58\) −2.01273 + 1.94726i −0.264285 + 0.255688i
\(59\) 7.29793 + 8.32170i 0.950110 + 1.08339i 0.996426 + 0.0844660i \(0.0269184\pi\)
−0.0463163 + 0.998927i \(0.514748\pi\)
\(60\) −5.42553 + 4.35494i −0.700432 + 0.562220i
\(61\) −0.316358 4.82669i −0.0405055 0.617994i −0.969064 0.246809i \(-0.920618\pi\)
0.928559 0.371186i \(-0.121049\pi\)
\(62\) 1.00122 2.79673i 0.127155 0.355185i
\(63\) −9.29053 + 1.02488i −1.17050 + 0.129122i
\(64\) −3.77832 + 7.05154i −0.472290 + 0.881443i
\(65\) −0.0612727 + 0.106127i −0.00759994 + 0.0131635i
\(66\) 10.8972 + 3.23816i 1.34135 + 0.398590i
\(67\) 9.75443 + 4.81035i 1.19169 + 0.587678i 0.926419 0.376495i \(-0.122871\pi\)
0.265274 + 0.964173i \(0.414538\pi\)
\(68\) −5.51833 + 3.95156i −0.669195 + 0.479196i
\(69\) 0.0527642 + 0.205540i 0.00635207 + 0.0247441i
\(70\) −8.50859 2.43131i −1.01697 0.290597i
\(71\) 3.83837 + 9.26665i 0.455531 + 1.09975i 0.970188 + 0.242353i \(0.0779193\pi\)
−0.514657 + 0.857396i \(0.672081\pi\)
\(72\) −5.96887 6.03096i −0.703439 0.710756i
\(73\) 6.33975 15.3055i 0.742012 1.79138i 0.144518 0.989502i \(-0.453837\pi\)
0.597494 0.801874i \(-0.296163\pi\)
\(74\) 3.60431 + 2.86157i 0.418992 + 0.332651i
\(75\) −0.0176022 + 1.67396i −0.00203253 + 0.193292i
\(76\) −8.45982 3.18732i −0.970408 0.365610i
\(77\) 4.64792 + 13.6923i 0.529679 + 1.56038i
\(78\) −0.136488 0.0609102i −0.0154542 0.00689672i
\(79\) −4.35111 16.2386i −0.489538 1.82698i −0.558691 0.829376i \(-0.688696\pi\)
0.0691526 0.997606i \(-0.477970\pi\)
\(80\) −3.06924 7.42398i −0.343151 0.830027i
\(81\) 7.97655 4.16829i 0.886283 0.463144i
\(82\) −6.03920 5.47547i −0.666918 0.604664i
\(83\) −3.51762 3.08487i −0.386109 0.338608i 0.444184 0.895935i \(-0.353494\pi\)
−0.830293 + 0.557327i \(0.811827\pi\)
\(84\) 1.87357 10.6290i 0.204423 1.15972i
\(85\) 0.445761 6.80100i 0.0483496 0.737673i
\(86\) −4.25076 + 9.80077i −0.458371 + 1.05684i
\(87\) 3.37087 0.633736i 0.361395 0.0679437i
\(88\) −7.11888 + 11.0288i −0.758875 + 1.17567i
\(89\) −3.30441 + 1.36873i −0.350266 + 0.145085i −0.550878 0.834586i \(-0.685707\pi\)
0.200612 + 0.979671i \(0.435707\pi\)
\(90\) 8.48364 0.794157i 0.894254 0.0837115i
\(91\) −0.0370884 0.186456i −0.00388792 0.0195459i
\(92\) −0.244899 0.00809999i −0.0255324 0.000844482i
\(93\) −2.90947 + 2.18430i −0.301698 + 0.226501i
\(94\) 6.85099 9.89513i 0.706626 1.02060i
\(95\) 7.86186 4.53905i 0.806610 0.465696i
\(96\) 8.61781 4.66190i 0.879552 0.475803i
\(97\) 3.87912 + 2.23961i 0.393865 + 0.227398i 0.683833 0.729638i \(-0.260312\pi\)
−0.289969 + 0.957036i \(0.593645\pi\)
\(98\) 3.46119 1.63630i 0.349633 0.165292i
\(99\) −8.95795 10.6586i −0.900308 1.07123i
\(100\) −1.84960 0.561753i −0.184960 0.0561753i
\(101\) 11.9258 + 4.04825i 1.18666 + 0.402816i 0.843844 0.536588i \(-0.180287\pi\)
0.342813 + 0.939404i \(0.388620\pi\)
\(102\) 8.30652 0.319156i 0.822468 0.0316012i
\(103\) 4.21351 + 3.23314i 0.415169 + 0.318571i 0.795138 0.606429i \(-0.207399\pi\)
−0.379969 + 0.924999i \(0.624065\pi\)
\(104\) 0.111721 0.131544i 0.0109552 0.0128989i
\(105\) 7.05988 + 8.22308i 0.688974 + 0.802491i
\(106\) 1.64444 + 14.3157i 0.159722 + 1.39046i
\(107\) 13.5749 + 9.07043i 1.31233 + 0.876871i 0.997387 0.0722391i \(-0.0230145\pi\)
0.314943 + 0.949110i \(0.398014\pi\)
\(108\) 2.03602 + 10.1909i 0.195916 + 0.980621i
\(109\) 2.92075 14.6836i 0.279757 1.40643i −0.543808 0.839210i \(-0.683018\pi\)
0.823564 0.567223i \(-0.191982\pi\)
\(110\) −4.03017 12.5504i −0.384262 1.19663i
\(111\) −1.75555 5.35607i −0.166630 0.508376i
\(112\) 11.1736 + 5.51958i 1.05580 + 0.521552i
\(113\) −4.15305 1.11281i −0.390686 0.104684i 0.0581281 0.998309i \(-0.481487\pi\)
−0.448814 + 0.893625i \(0.648153\pi\)
\(114\) 6.50025 + 8.96315i 0.608805 + 0.839476i
\(115\) 0.162236 0.184995i 0.0151286 0.0172508i
\(116\) −0.389532 + 3.94133i −0.0361672 + 0.365944i
\(117\) 0.0984760 + 0.154308i 0.00910411 + 0.0142658i
\(118\) 15.4833 + 2.29941i 1.42536 + 0.211678i
\(119\) 6.43660 + 8.38834i 0.590042 + 0.768958i
\(120\) −1.86791 + 9.65995i −0.170516 + 0.881829i
\(121\) −6.41576 + 8.36118i −0.583251 + 0.760107i
\(122\) −4.75643 4.91635i −0.430627 0.445105i
\(123\) 2.48249 + 9.67038i 0.223838 + 0.871948i
\(124\) −1.47847 3.93222i −0.132770 0.353124i
\(125\) 9.96339 6.65733i 0.891153 0.595449i
\(126\) −9.08262 + 9.60389i −0.809144 + 0.855583i
\(127\) −11.9035 −1.05626 −0.528131 0.849163i \(-0.677107\pi\)
−0.528131 + 0.849163i \(0.677107\pi\)
\(128\) 2.37537 + 11.0615i 0.209955 + 0.977711i
\(129\) 10.9546 7.15418i 0.964500 0.629891i
\(130\) 0.0309958 + 0.170511i 0.00271851 + 0.0149548i
\(131\) −6.74509 3.32631i −0.589322 0.290621i 0.123076 0.992397i \(-0.460724\pi\)
−0.712398 + 0.701776i \(0.752391\pi\)
\(132\) 14.7151 6.47576i 1.28078 0.563642i
\(133\) −4.52689 + 13.3358i −0.392531 + 1.15636i
\(134\) 14.9207 3.73477i 1.28895 0.322635i
\(135\) −9.20928 4.90850i −0.792608 0.422456i
\(136\) −2.33699 + 9.30977i −0.200395 + 0.798307i
\(137\) 7.16649 + 9.33955i 0.612274 + 0.797932i 0.991875 0.127219i \(-0.0406051\pi\)
−0.379600 + 0.925151i \(0.623938\pi\)
\(138\) 0.244926 + 0.173415i 0.0208495 + 0.0147621i
\(139\) −0.420212 0.0275421i −0.0356419 0.00233609i 0.0475717 0.998868i \(-0.484852\pi\)
−0.0832137 + 0.996532i \(0.526518\pi\)
\(140\) −11.4008 + 5.16100i −0.963545 + 0.436184i
\(141\) −13.6768 + 5.49734i −1.15179 + 0.462960i
\(142\) 12.6165 + 6.48321i 1.05875 + 0.544059i
\(143\) 0.200242 0.200242i 0.0167451 0.0167451i
\(144\) −11.9545 1.04454i −0.996204 0.0870452i
\(145\) −2.81222 2.81222i −0.233542 0.233542i
\(146\) −7.16313 22.3068i −0.592825 1.84612i
\(147\) −4.64211 0.660874i −0.382875 0.0545080i
\(148\) 6.50499 0.210751i 0.534707 0.0173236i
\(149\) −0.894745 + 13.6512i −0.0733004 + 1.11835i 0.789817 + 0.613343i \(0.210176\pi\)
−0.863117 + 0.505004i \(0.831491\pi\)
\(150\) 1.51227 + 1.82152i 0.123477 + 0.148726i
\(151\) 5.81153 4.45935i 0.472936 0.362896i −0.344623 0.938741i \(-0.611993\pi\)
0.817559 + 0.575845i \(0.195327\pi\)
\(152\) −12.0398 + 4.30102i −0.976556 + 0.348859i
\(153\) −8.70790 5.27471i −0.703992 0.426435i
\(154\) 17.5380 + 10.5159i 1.41325 + 0.847395i
\(155\) 3.99465 + 1.35600i 0.320858 + 0.108917i
\(156\) −0.202924 + 0.0591593i −0.0162469 + 0.00473653i
\(157\) 5.37868 10.9069i 0.429265 0.870464i −0.569557 0.821952i \(-0.692885\pi\)
0.998823 0.0485122i \(-0.0154480\pi\)
\(158\) −19.5471 13.5336i −1.55508 1.07668i
\(159\) 7.97167 15.7454i 0.632195 1.24869i
\(160\) −10.1014 5.19940i −0.798584 0.411049i
\(161\) 0.381715i 0.0300834i
\(162\) 4.79000 11.7922i 0.376338 0.926483i
\(163\) 1.41253 + 2.11400i 0.110638 + 0.165581i 0.882656 0.470019i \(-0.155753\pi\)
−0.772019 + 0.635600i \(0.780753\pi\)
\(164\) −11.5222 0.381094i −0.899729 0.0297584i
\(165\) −4.34214 + 15.5492i −0.338035 + 1.21050i
\(166\) −6.61574 0.109378i −0.513481 0.00848934i
\(167\) −11.4271 8.76829i −0.884253 0.678511i 0.0633399 0.997992i \(-0.479825\pi\)
−0.947593 + 0.319481i \(0.896491\pi\)
\(168\) −7.70219 13.1776i −0.594237 1.01667i
\(169\) 10.3106 7.91163i 0.793126 0.608587i
\(170\) −5.74046 7.74285i −0.440274 0.593850i
\(171\) −0.602159 13.5471i −0.0460483 1.03597i
\(172\) 4.38070 + 14.4588i 0.334025 + 1.10247i
\(173\) 6.69592 + 5.87216i 0.509081 + 0.446452i 0.874949 0.484215i \(-0.160895\pi\)
−0.365868 + 0.930667i \(0.619228\pi\)
\(174\) 3.05588 3.76701i 0.231665 0.285577i
\(175\) −0.779382 + 2.90869i −0.0589157 + 0.219876i
\(176\) 2.41066 + 18.4069i 0.181710 + 1.38747i
\(177\) −14.2799 12.7912i −1.07334 0.961449i
\(178\) −2.31186 + 4.49893i −0.173281 + 0.337209i
\(179\) −18.1080 3.60190i −1.35345 0.269219i −0.535516 0.844525i \(-0.679883\pi\)
−0.817938 + 0.575306i \(0.804883\pi\)
\(180\) 8.42341 8.61694i 0.627844 0.642269i
\(181\) −7.65157 + 11.4514i −0.568737 + 0.851175i −0.998663 0.0516892i \(-0.983539\pi\)
0.429926 + 0.902864i \(0.358539\pi\)
\(182\) −0.210562 0.167172i −0.0156079 0.0123916i
\(183\) 1.54798 + 8.23376i 0.114430 + 0.608657i
\(184\) −0.271540 + 0.215285i −0.0200182 + 0.0158710i
\(185\) −3.97861 + 5.18503i −0.292513 + 0.381211i
\(186\) −1.13986 + 5.01727i −0.0835789 + 0.367884i
\(187\) −5.06263 + 14.9140i −0.370216 + 1.09062i
\(188\) −1.66258 16.9392i −0.121256 1.23542i
\(189\) 15.7620 3.69481i 1.14652 0.268758i
\(190\) 4.32716 12.0872i 0.313925 0.876894i
\(191\) −5.49772 + 9.52233i −0.397801 + 0.689011i −0.993454 0.114230i \(-0.963560\pi\)
0.595653 + 0.803242i \(0.296893\pi\)
\(192\) 5.03010 12.9112i 0.363016 0.931783i
\(193\) −8.08886 14.0103i −0.582249 1.00848i −0.995212 0.0977373i \(-0.968840\pi\)
0.412963 0.910748i \(-0.364494\pi\)
\(194\) 6.23243 1.13294i 0.447463 0.0813405i
\(195\) 0.0832838 0.195233i 0.00596408 0.0139809i
\(196\) 2.23619 4.93093i 0.159728 0.352209i
\(197\) 1.32042 0.262647i 0.0940758 0.0187128i −0.147828 0.989013i \(-0.547228\pi\)
0.241904 + 0.970300i \(0.422228\pi\)
\(198\) −19.4114 3.30136i −1.37951 0.234617i
\(199\) −1.83708 4.43509i −0.130227 0.314395i 0.845294 0.534301i \(-0.179425\pi\)
−0.975521 + 0.219906i \(0.929425\pi\)
\(200\) −2.50872 + 1.08606i −0.177393 + 0.0767960i
\(201\) −17.7735 6.24246i −1.25364 0.440309i
\(202\) 16.5654 6.54295i 1.16554 0.460360i
\(203\) 6.15657 + 0.403523i 0.432107 + 0.0283218i
\(204\) 8.66689 7.94262i 0.606803 0.556095i
\(205\) 7.63299 8.70376i 0.533111 0.607897i
\(206\) 7.50192 0.367275i 0.522683 0.0255893i
\(207\) −0.133483 0.342453i −0.00927772 0.0238022i
\(208\) 0.000164939 0.244071i 1.14365e−5 0.0169233i
\(209\) −20.2634 + 5.42955i −1.40165 + 0.375570i
\(210\) 15.1364 + 2.41081i 1.04451 + 0.166362i
\(211\) −23.9521 + 8.13063i −1.64893 + 0.559735i −0.982569 0.185897i \(-0.940481\pi\)
−0.666358 + 0.745632i \(0.732148\pi\)
\(212\) 14.8689 + 13.9357i 1.02120 + 0.957106i
\(213\) −8.52769 15.1357i −0.584308 1.03708i
\(214\) 22.9381 2.63489i 1.56802 0.180117i
\(215\) −14.0162 5.80569i −0.955894 0.395944i
\(216\) 11.5181 + 9.12875i 0.783705 + 0.621133i
\(217\) −6.04619 + 2.50441i −0.410442 + 0.170011i
\(218\) −10.2817 18.5085i −0.696366 1.25355i
\(219\) −7.71761 + 27.6368i −0.521508 + 1.86752i
\(220\) −15.8272 9.84938i −1.06707 0.664045i
\(221\) 0.0915854 0.185717i 0.00616070 0.0124927i
\(222\) −6.79289 4.17079i −0.455909 0.279925i
\(223\) 12.8000 + 7.39006i 0.857149 + 0.494875i 0.863056 0.505108i \(-0.168547\pi\)
−0.00590775 + 0.999983i \(0.501881\pi\)
\(224\) 17.1001 4.26800i 1.14255 0.285168i
\(225\) −0.317932 2.88206i −0.0211954 0.192137i
\(226\) −5.49713 + 2.59881i −0.365664 + 0.172871i
\(227\) −4.26614 + 0.279618i −0.283154 + 0.0185589i −0.206318 0.978485i \(-0.566148\pi\)
−0.0768353 + 0.997044i \(0.524482\pi\)
\(228\) 15.2098 + 3.72092i 1.00729 + 0.246424i
\(229\) 13.9049 12.1942i 0.918860 0.805818i −0.0624907 0.998046i \(-0.519904\pi\)
0.981350 + 0.192227i \(0.0615711\pi\)
\(230\) 0.00575227 0.347928i 0.000379293 0.0229417i
\(231\) −10.8403 22.5773i −0.713239 1.48548i
\(232\) 3.18522 + 4.60717i 0.209120 + 0.302476i
\(233\) −27.6715 11.4619i −1.81282 0.750894i −0.980478 0.196631i \(-0.937000\pi\)
−0.832341 0.554263i \(-0.813000\pi\)
\(234\) 0.247363 + 0.0763452i 0.0161706 + 0.00499084i
\(235\) 14.2112 + 9.49561i 0.927036 + 0.619425i
\(236\) 18.8026 11.6834i 1.22395 0.760526i
\(237\) 10.8596 + 27.0174i 0.705405 + 1.75497i
\(238\) 14.6153 + 3.15919i 0.947371 + 0.204780i
\(239\) 3.95743 14.7693i 0.255985 0.955348i −0.711555 0.702630i \(-0.752009\pi\)
0.967540 0.252718i \(-0.0813245\pi\)
\(240\) 6.82186 + 12.1272i 0.440349 + 0.782809i
\(241\) 0.611618 + 2.28259i 0.0393978 + 0.147034i 0.982823 0.184551i \(-0.0590831\pi\)
−0.943425 + 0.331586i \(0.892416\pi\)
\(242\) 0.728812 + 14.8866i 0.0468498 + 0.956948i
\(243\) −12.8488 + 8.82664i −0.824248 + 0.566229i
\(244\) −9.62719 0.951480i −0.616318 0.0609123i
\(245\) 2.40469 + 4.87622i 0.153630 + 0.311530i
\(246\) 11.5234 + 8.15894i 0.734707 + 0.520195i
\(247\) 0.273451 0.0360005i 0.0173993 0.00229066i
\(248\) −5.19158 2.88859i −0.329666 0.183426i
\(249\) 6.69027 + 4.57278i 0.423979 + 0.289788i
\(250\) 4.65603 16.2942i 0.294473 1.03053i
\(251\) 7.63445 1.51859i 0.481883 0.0958524i 0.0518294 0.998656i \(-0.483495\pi\)
0.430053 + 0.902804i \(0.358495\pi\)
\(252\) −1.01070 + 18.6664i −0.0636683 + 1.17587i
\(253\) −0.472774 + 0.315897i −0.0297230 + 0.0198603i
\(254\) −12.8383 + 10.8887i −0.805544 + 0.683219i
\(255\) 0.648178 + 11.7872i 0.0405905 + 0.738140i
\(256\) 12.6805 + 9.75733i 0.792530 + 0.609833i
\(257\) −0.524694 0.908797i −0.0327295 0.0566892i 0.849197 0.528077i \(-0.177087\pi\)
−0.881926 + 0.471388i \(0.843753\pi\)
\(258\) 5.27059 17.7368i 0.328133 1.10424i
\(259\) −0.663115 10.1172i −0.0412039 0.628651i
\(260\) 0.189405 + 0.155548i 0.0117464 + 0.00964668i
\(261\) −5.66444 + 1.79089i −0.350620 + 0.110853i
\(262\) −10.3175 + 2.58256i −0.637420 + 0.159551i
\(263\) 18.4363 + 2.42719i 1.13683 + 0.149667i 0.675360 0.737488i \(-0.263988\pi\)
0.461472 + 0.887155i \(0.347322\pi\)
\(264\) 9.94694 20.4449i 0.612192 1.25830i
\(265\) −20.2886 + 2.67105i −1.24632 + 0.164081i
\(266\) 7.31654 + 18.5240i 0.448606 + 1.13578i
\(267\) 5.39727 3.04090i 0.330308 0.186100i
\(268\) 12.6761 17.6768i 0.774315 1.07978i
\(269\) 10.3900 + 2.06669i 0.633487 + 0.126008i 0.501380 0.865227i \(-0.332826\pi\)
0.132107 + 0.991235i \(0.457826\pi\)
\(270\) −14.4225 + 3.13024i −0.877728 + 0.190500i
\(271\) 20.4392 20.4392i 1.24159 1.24159i 0.282250 0.959341i \(-0.408919\pi\)
0.959341 0.282250i \(-0.0910809\pi\)
\(272\) 5.99562 + 12.1786i 0.363538 + 0.738439i
\(273\) 0.102559 + 0.312899i 0.00620713 + 0.0189375i
\(274\) 16.2727 + 3.51743i 0.983067 + 0.212496i
\(275\) −4.24756 + 1.44185i −0.256137 + 0.0869469i
\(276\) 0.422792 0.0370131i 0.0254491 0.00222793i
\(277\) −13.9792 + 6.89378i −0.839929 + 0.414207i −0.810768 0.585368i \(-0.800950\pi\)
−0.0291609 + 0.999575i \(0.509284\pi\)
\(278\) −0.478406 + 0.354685i −0.0286929 + 0.0212726i
\(279\) 4.54852 4.36113i 0.272313 0.261094i
\(280\) −7.57510 + 15.9952i −0.452699 + 0.955897i
\(281\) −0.0354504 + 0.269272i −0.00211479 + 0.0160634i −0.992470 0.122490i \(-0.960912\pi\)
0.990355 + 0.138554i \(0.0442453\pi\)
\(282\) −9.72210 + 18.4399i −0.578943 + 1.09808i
\(283\) −25.1490 + 22.0551i −1.49495 + 1.31104i −0.676542 + 0.736404i \(0.736522\pi\)
−0.818410 + 0.574635i \(0.805144\pi\)
\(284\) 19.5378 4.54862i 1.15936 0.269911i
\(285\) −12.5744 + 9.44030i −0.744845 + 0.559195i
\(286\) 0.0327954 0.399139i 0.00193923 0.0236016i
\(287\) 17.9592i 1.06010i
\(288\) −13.8487 + 9.80879i −0.816045 + 0.577988i
\(289\) 5.48332i 0.322548i
\(290\) −5.60555 0.460582i −0.329169 0.0270463i
\(291\) −7.13606 3.04415i −0.418323 0.178451i
\(292\) −28.1308 17.5061i −1.64623 1.02446i
\(293\) −7.00325 + 6.14168i −0.409134 + 0.358801i −0.839037 0.544074i \(-0.816881\pi\)
0.429903 + 0.902875i \(0.358548\pi\)
\(294\) −5.61120 + 3.53361i −0.327252 + 0.206084i
\(295\) −2.90151 + 22.0392i −0.168933 + 1.28317i
\(296\) 6.82304 6.17775i 0.396581 0.359074i
\(297\) 17.6204 + 16.4643i 1.02244 + 0.955358i
\(298\) 11.5224 + 15.5417i 0.667476 + 0.900305i
\(299\) 0.00670473 0.00330641i 0.000387744 0.000191214i
\(300\) 3.29727 + 0.581209i 0.190368 + 0.0335561i
\(301\) 22.2863 7.56517i 1.28456 0.436049i
\(302\) 2.18872 10.1257i 0.125947 0.582666i
\(303\) −21.3486 4.48036i −1.22644 0.257390i
\(304\) −9.05091 + 15.6522i −0.519105 + 0.897715i
\(305\) 6.86919 6.86919i 0.393329 0.393329i
\(306\) −14.2168 + 2.27663i −0.812720 + 0.130146i
\(307\) −5.04752 1.00401i −0.288077 0.0573021i 0.0489364 0.998802i \(-0.484417\pi\)
−0.337014 + 0.941500i \(0.609417\pi\)
\(308\) 28.5347 4.70119i 1.62592 0.267875i
\(309\) −7.91771 4.68298i −0.450423 0.266405i
\(310\) 5.54876 2.19163i 0.315148 0.124476i
\(311\) −20.1218 + 2.64909i −1.14100 + 0.150216i −0.677253 0.735750i \(-0.736830\pi\)
−0.463750 + 0.885966i \(0.653496\pi\)
\(312\) −0.164744 + 0.249431i −0.00932680 + 0.0141212i
\(313\) 14.5087 + 1.91010i 0.820079 + 0.107965i 0.528879 0.848697i \(-0.322612\pi\)
0.291199 + 0.956662i \(0.405946\pi\)
\(314\) −4.17602 16.6836i −0.235666 0.941508i
\(315\) −13.8500 12.6712i −0.780362 0.713941i
\(316\) −33.4620 + 3.28431i −1.88239 + 0.184757i
\(317\) −1.28598 19.6202i −0.0722278 1.10198i −0.868058 0.496463i \(-0.834632\pi\)
0.795830 0.605520i \(-0.207035\pi\)
\(318\) −5.80543 24.2740i −0.325553 1.36122i
\(319\) 4.59523 + 7.95917i 0.257283 + 0.445628i
\(320\) −15.6508 + 3.63253i −0.874907 + 0.203065i
\(321\) −25.2289 12.7730i −1.40814 0.712922i
\(322\) 0.349175 + 0.411692i 0.0194587 + 0.0229427i
\(323\) −12.7545 + 8.52230i −0.709681 + 0.474194i
\(324\) −5.62077 17.0999i −0.312265 0.949995i
\(325\) 0.0578414 0.0115054i 0.00320846 0.000638203i
\(326\) 3.45723 + 0.987898i 0.191479 + 0.0547146i
\(327\) −1.96795 + 25.8562i −0.108828 + 1.42985i
\(328\) −12.7756 + 10.1289i −0.705415 + 0.559274i
\(329\) −26.2880 + 3.46089i −1.44931 + 0.190805i
\(330\) 9.54054 + 20.7423i 0.525190 + 1.14183i
\(331\) −11.9320 24.1958i −0.655844 1.32992i −0.929760 0.368167i \(-0.879985\pi\)
0.273915 0.961754i \(-0.411681\pi\)
\(332\) −7.23534 + 5.93380i −0.397091 + 0.325660i
\(333\) 4.13281 + 8.84467i 0.226477 + 0.484685i
\(334\) −20.3453 + 0.996053i −1.11324 + 0.0545016i
\(335\) 5.65337 + 21.0987i 0.308877 + 1.15274i
\(336\) −20.3612 7.16680i −1.11080 0.390981i
\(337\) 1.23082 4.59348i 0.0670470 0.250223i −0.924266 0.381750i \(-0.875321\pi\)
0.991313 + 0.131527i \(0.0419881\pi\)
\(338\) 3.88316 17.9646i 0.211216 0.977146i
\(339\) 7.37271 + 1.04961i 0.400430 + 0.0570072i
\(340\) −13.2741 3.09981i −0.719887 0.168111i
\(341\) −8.10550 5.41592i −0.438938 0.293289i
\(342\) −13.0417 14.0602i −0.705215 0.760287i
\(343\) 12.3568 + 5.11837i 0.667206 + 0.276366i
\(344\) 17.9510 + 11.5870i 0.967851 + 0.624731i
\(345\) −0.240487 + 0.351848i −0.0129474 + 0.0189428i
\(346\) 12.5933 + 0.208204i 0.677021 + 0.0111931i
\(347\) 24.0002 21.0476i 1.28840 1.12989i 0.304240 0.952595i \(-0.401597\pi\)
0.984157 0.177299i \(-0.0567359\pi\)
\(348\) −0.150027 6.85821i −0.00804231 0.367639i
\(349\) 19.4919 1.27756i 1.04338 0.0683864i 0.465935 0.884819i \(-0.345718\pi\)
0.577441 + 0.816433i \(0.304052\pi\)
\(350\) 1.82014 + 3.85005i 0.0972908 + 0.205794i
\(351\) −0.201429 0.244852i −0.0107515 0.0130692i
\(352\) 19.4377 + 17.6472i 1.03603 + 0.940601i
\(353\) 12.2958 + 7.09901i 0.654442 + 0.377842i 0.790156 0.612906i \(-0.210000\pi\)
−0.135714 + 0.990748i \(0.543333\pi\)
\(354\) −27.1021 0.733192i −1.44046 0.0389687i
\(355\) −8.90951 + 18.0667i −0.472868 + 0.958881i
\(356\) 1.62200 + 6.96701i 0.0859657 + 0.369251i
\(357\) −12.8127 13.0850i −0.678119 0.692532i
\(358\) −22.8249 + 12.6795i −1.20633 + 0.670135i
\(359\) 33.0614 13.6945i 1.74491 0.722767i 0.746565 0.665313i \(-0.231702\pi\)
0.998348 0.0574539i \(-0.0182982\pi\)
\(360\) 1.20254 16.9990i 0.0633792 0.895924i
\(361\) −1.32291 0.547966i −0.0696267 0.0288403i
\(362\) 2.22272 + 19.3500i 0.116824 + 1.01701i
\(363\) 9.29279 15.7117i 0.487745 0.824651i
\(364\) −0.380019 + 0.0123120i −0.0199184 + 0.000645323i
\(365\) 31.5058 10.6948i 1.64909 0.559791i
\(366\) 9.20139 + 7.46435i 0.480964 + 0.390168i
\(367\) 26.3112 7.05007i 1.37343 0.368011i 0.504703 0.863293i \(-0.331602\pi\)
0.868732 + 0.495283i \(0.164935\pi\)
\(368\) −0.0959317 + 0.480584i −0.00500079 + 0.0250522i
\(369\) −6.28020 16.1120i −0.326934 0.838756i
\(370\) 0.451959 + 9.23166i 0.0234962 + 0.479931i
\(371\) 20.9316 23.8680i 1.08672 1.23916i
\(372\) 3.36018 + 6.45398i 0.174217 + 0.334623i
\(373\) −16.4151 1.07590i −0.849942 0.0557081i −0.365795 0.930695i \(-0.619203\pi\)
−0.484146 + 0.874987i \(0.660870\pi\)
\(374\) 8.18243 + 20.7163i 0.423103 + 1.07121i
\(375\) −15.7474 + 13.5199i −0.813193 + 0.698162i
\(376\) −17.2883 16.7486i −0.891575 0.863741i
\(377\) −0.0462403 0.111634i −0.00238149 0.00574944i
\(378\) 13.6200 18.4033i 0.700537 0.946564i
\(379\) −4.40044 + 0.875301i −0.226035 + 0.0449612i −0.306808 0.951771i \(-0.599261\pi\)
0.0807731 + 0.996733i \(0.474261\pi\)
\(380\) −6.38978 16.9946i −0.327789 0.871807i
\(381\) 20.4682 2.47603i 1.04862 0.126851i
\(382\) 2.78111 + 15.2992i 0.142294 + 0.782774i
\(383\) −6.03912 10.4601i −0.308585 0.534485i 0.669468 0.742841i \(-0.266522\pi\)
−0.978053 + 0.208356i \(0.933189\pi\)
\(384\) −6.38539 18.5264i −0.325853 0.945420i
\(385\) −14.5201 + 25.1495i −0.740012 + 1.28174i
\(386\) −21.5401 7.71126i −1.09636 0.392493i
\(387\) −17.3485 + 14.5804i −0.881874 + 0.741163i
\(388\) 5.68551 6.92304i 0.288638 0.351464i
\(389\) 9.39124 27.6657i 0.476155 1.40271i −0.398146 0.917322i \(-0.630346\pi\)
0.874301 0.485385i \(-0.161320\pi\)
\(390\) −0.0887656 0.286749i −0.00449482 0.0145201i
\(391\) −0.253107 + 0.329856i −0.0128002 + 0.0166815i
\(392\) −2.09879 7.36372i −0.106005 0.371924i
\(393\) 12.2902 + 4.31660i 0.619958 + 0.217744i
\(394\) 1.18385 1.49113i 0.0596417 0.0751219i
\(395\) 18.7579 28.0731i 0.943810 1.41251i
\(396\) −23.9558 + 14.1960i −1.20382 + 0.713377i
\(397\) −1.56580 0.311458i −0.0785854 0.0156316i 0.155641 0.987814i \(-0.450256\pi\)
−0.234226 + 0.972182i \(0.575256\pi\)
\(398\) −6.03835 3.10292i −0.302675 0.155535i
\(399\) 5.01008 23.8727i 0.250818 1.19513i
\(400\) −1.71226 + 3.46620i −0.0856128 + 0.173310i
\(401\) −8.83695 + 32.9799i −0.441296 + 1.64694i 0.284238 + 0.958754i \(0.408259\pi\)
−0.725534 + 0.688186i \(0.758407\pi\)
\(402\) −24.8795 + 9.52564i −1.24088 + 0.475096i
\(403\) 0.0963613 + 0.0845066i 0.00480010 + 0.00420957i
\(404\) 11.8812 22.2100i 0.591110 1.10499i
\(405\) 16.8565 + 6.52462i 0.837606 + 0.324211i
\(406\) 7.00918 5.19652i 0.347860 0.257899i
\(407\) 11.9819 9.19400i 0.593918 0.455730i
\(408\) 2.08197 16.4944i 0.103073 0.816595i
\(409\) 1.33125 + 1.02150i 0.0658259 + 0.0505100i 0.641150 0.767415i \(-0.278458\pi\)
−0.575324 + 0.817925i \(0.695124\pi\)
\(410\) 0.270637 16.3696i 0.0133658 0.808435i
\(411\) −14.2656 14.5688i −0.703670 0.718626i
\(412\) 7.75508 7.25851i 0.382066 0.357601i
\(413\) −19.1589 28.6734i −0.942750 1.41092i
\(414\) −0.457226 0.247243i −0.0224714 0.0121513i
\(415\) 9.39644i 0.461253i
\(416\) −0.223087 0.263389i −0.0109377 0.0129137i
\(417\) 0.728290 0.0400488i 0.0356645 0.00196120i
\(418\) −16.8880 + 24.3919i −0.826017 + 1.19305i
\(419\) 10.7942 21.8884i 0.527330 1.06932i −0.456418 0.889765i \(-0.650868\pi\)
0.983748 0.179554i \(-0.0574654\pi\)
\(420\) 18.5303 11.2459i 0.904188 0.548744i
\(421\) −10.0043 3.39601i −0.487580 0.165511i 0.0668139 0.997765i \(-0.478717\pi\)
−0.554394 + 0.832254i \(0.687050\pi\)
\(422\) −18.3955 + 30.6793i −0.895480 + 1.49345i
\(423\) 22.3739 12.2977i 1.08786 0.597932i
\(424\) 28.7842 + 1.42870i 1.39789 + 0.0693840i
\(425\) −2.60219 + 1.99673i −0.126225 + 0.0968555i
\(426\) −23.0428 8.52363i −1.11643 0.412971i
\(427\) −0.985654 + 15.0382i −0.0476992 + 0.727749i
\(428\) 22.3292 23.8245i 1.07932 1.15160i
\(429\) −0.302667 + 0.385971i −0.0146129 + 0.0186349i
\(430\) −20.4276 + 6.55970i −0.985108 + 0.316337i
\(431\) 20.0560 + 20.0560i 0.966063 + 0.966063i 0.999443 0.0333796i \(-0.0106270\pi\)
−0.0333796 + 0.999443i \(0.510627\pi\)
\(432\) 20.7731 0.690530i 0.999448 0.0332232i
\(433\) 19.1816 19.1816i 0.921811 0.921811i −0.0753464 0.997157i \(-0.524006\pi\)
0.997157 + 0.0753464i \(0.0240062\pi\)
\(434\) −4.23008 + 8.23185i −0.203051 + 0.395141i
\(435\) 5.42062 + 4.25069i 0.259899 + 0.203805i
\(436\) −28.0198 10.5567i −1.34191 0.505575i
\(437\) −0.552608 0.0362198i −0.0264348 0.00173263i
\(438\) 16.9571 + 36.8668i 0.810243 + 1.76157i
\(439\) 13.5874 + 17.7074i 0.648491 + 0.845130i 0.995698 0.0926582i \(-0.0295364\pi\)
−0.347207 + 0.937789i \(0.612870\pi\)
\(440\) −26.0798 + 3.85507i −1.24331 + 0.183783i
\(441\) 8.11965 + 0.170780i 0.386650 + 0.00813239i
\(442\) −0.0711071 0.284079i −0.00338222 0.0135123i
\(443\) −1.97085 + 5.80595i −0.0936381 + 0.275849i −0.983651 0.180087i \(-0.942362\pi\)
0.890013 + 0.455936i \(0.150695\pi\)
\(444\) −11.1416 + 1.71549i −0.528756 + 0.0814134i
\(445\) −6.44243 3.17705i −0.305400 0.150607i
\(446\) 20.5652 3.73838i 0.973792 0.177017i
\(447\) −1.30104 23.6595i −0.0615372 1.11906i
\(448\) 14.5388 20.2455i 0.686894 0.956510i
\(449\) −25.8328 −1.21913 −0.609563 0.792737i \(-0.708655\pi\)
−0.609563 + 0.792737i \(0.708655\pi\)
\(450\) −2.97927 2.81756i −0.140444 0.132821i
\(451\) −22.2434 + 14.8625i −1.04740 + 0.699850i
\(452\) −3.55156 + 7.83142i −0.167051 + 0.368359i
\(453\) −9.06543 + 8.87677i −0.425931 + 0.417067i
\(454\) −4.34538 + 4.20404i −0.203939 + 0.197305i
\(455\) 0.232429 0.302907i 0.0108964 0.0142005i
\(456\) 19.8079 9.90006i 0.927592 0.463613i
\(457\) −9.73293 12.6842i −0.455287 0.593342i 0.508152 0.861267i \(-0.330329\pi\)
−0.963440 + 0.267925i \(0.913662\pi\)
\(458\) 3.84212 25.8714i 0.179531 1.20889i
\(459\) 16.0706 + 7.25863i 0.750109 + 0.338804i
\(460\) −0.312064 0.380513i −0.0145501 0.0177415i
\(461\) −21.7240 + 24.7715i −1.01179 + 1.15372i −0.0237181 + 0.999719i \(0.507550\pi\)
−0.988070 + 0.154005i \(0.950783\pi\)
\(462\) −32.3442 14.4342i −1.50479 0.671539i
\(463\) 3.91003 + 1.04769i 0.181714 + 0.0486902i 0.348529 0.937298i \(-0.386681\pi\)
−0.166814 + 0.985988i \(0.553348\pi\)
\(464\) 7.64978 + 2.05529i 0.355132 + 0.0954146i
\(465\) −7.15092 1.50074i −0.331616 0.0695951i
\(466\) −40.3293 + 12.9505i −1.86822 + 0.599921i
\(467\) 4.40072 22.1239i 0.203641 1.02377i −0.734787 0.678298i \(-0.762718\pi\)
0.938428 0.345475i \(-0.112282\pi\)
\(468\) 0.336626 0.143935i 0.0155605 0.00665342i
\(469\) −28.1749 18.8259i −1.30100 0.869299i
\(470\) 24.0133 2.75840i 1.10765 0.127236i
\(471\) −6.97999 + 19.8734i −0.321621 + 0.915716i
\(472\) 9.59179 29.8007i 0.441498 1.37169i
\(473\) 27.8134 + 21.3419i 1.27886 + 0.981303i
\(474\) 36.4266 + 19.2053i 1.67313 + 0.882128i
\(475\) −4.13695 1.40431i −0.189816 0.0644340i
\(476\) 18.6530 9.96211i 0.854957 0.456613i
\(477\) −10.4322 + 28.7326i −0.477659 + 1.31558i
\(478\) −9.24206 19.5492i −0.422722 0.894162i
\(479\) −0.666190 0.384625i −0.0304390 0.0175740i 0.484703 0.874679i \(-0.338928\pi\)
−0.515142 + 0.857105i \(0.672261\pi\)
\(480\) 18.4510 + 6.83928i 0.842169 + 0.312169i
\(481\) −0.171962 + 0.0992821i −0.00784078 + 0.00452687i
\(482\) 2.74765 + 1.90236i 0.125152 + 0.0866503i
\(483\) −0.0794003 0.656365i −0.00361284 0.0298656i
\(484\) 14.4036 + 15.3890i 0.654710 + 0.699500i
\(485\) 1.75500 + 8.82300i 0.0796906 + 0.400632i
\(486\) −5.78359 + 21.2732i −0.262349 + 0.964973i
\(487\) −10.9650 + 4.54184i −0.496871 + 0.205811i −0.617023 0.786945i \(-0.711662\pi\)
0.120153 + 0.992755i \(0.461662\pi\)
\(488\) −11.2536 + 7.78029i −0.509426 + 0.352197i
\(489\) −2.86859 3.34123i −0.129722 0.151096i
\(490\) 7.05406 + 3.05946i 0.318670 + 0.138212i
\(491\) −1.57342 + 24.0057i −0.0710073 + 1.08336i 0.802532 + 0.596609i \(0.203486\pi\)
−0.873539 + 0.486753i \(0.838181\pi\)
\(492\) 19.8918 1.74142i 0.896791 0.0785092i
\(493\) 5.05258 + 4.43099i 0.227557 + 0.199562i
\(494\) 0.261994 0.288968i 0.0117877 0.0130013i
\(495\) 4.23199 27.6403i 0.190214 1.24234i
\(496\) −8.24162 + 1.63357i −0.370060 + 0.0733495i
\(497\) −8.08816 30.1854i −0.362803 1.35400i
\(498\) 11.3986 1.18806i 0.510785 0.0532382i
\(499\) −6.58045 19.3854i −0.294582 0.867809i −0.988958 0.148197i \(-0.952653\pi\)
0.694376 0.719612i \(-0.255680\pi\)
\(500\) −9.88345 21.8329i −0.442002 0.976396i
\(501\) 21.4729 + 12.7003i 0.959338 + 0.567407i
\(502\) 6.84486 8.62148i 0.305501 0.384795i
\(503\) −4.50423 + 10.8742i −0.200834 + 0.484856i −0.991922 0.126846i \(-0.959515\pi\)
0.791089 + 0.611702i \(0.209515\pi\)
\(504\) 15.9851 + 21.0569i 0.712032 + 0.937948i
\(505\) 9.67939 + 23.3681i 0.430727 + 1.03987i
\(506\) −0.220933 + 0.773175i −0.00982168 + 0.0343718i
\(507\) −16.0836 + 15.7489i −0.714298 + 0.699432i
\(508\) −3.88598 + 23.4877i −0.172412 + 1.04210i
\(509\) 12.3397 + 6.08529i 0.546949 + 0.269726i 0.694701 0.719299i \(-0.255537\pi\)
−0.147751 + 0.989025i \(0.547204\pi\)
\(510\) 11.4814 + 12.1199i 0.508405 + 0.536678i
\(511\) −25.8077 + 44.7002i −1.14166 + 1.97742i
\(512\) 22.6018 1.07591i 0.998869 0.0475489i
\(513\) 3.85335 + 23.1692i 0.170130 + 1.02295i
\(514\) −1.39722 0.500200i −0.0616288 0.0220629i
\(515\) 0.697615 + 10.6436i 0.0307406 + 0.469011i
\(516\) −10.5402 23.9509i −0.464009 1.05438i
\(517\) −26.0417 29.6949i −1.14531 1.30598i
\(518\) −9.96989 10.3051i −0.438052 0.452780i
\(519\) −12.7352 8.70446i −0.559013 0.382083i
\(520\) 0.346567 0.00549550i 0.0151980 0.000240994i
\(521\) 2.05101 4.95157i 0.0898563 0.216932i −0.872562 0.488503i \(-0.837543\pi\)
0.962418 + 0.271571i \(0.0875431\pi\)
\(522\) −4.47105 + 7.11309i −0.195693 + 0.311331i
\(523\) 2.55185 3.81911i 0.111584 0.166998i −0.771474 0.636261i \(-0.780480\pi\)
0.883059 + 0.469263i \(0.155480\pi\)
\(524\) −8.76539 + 12.2234i −0.382918 + 0.533980i
\(525\) 0.735124 5.16366i 0.0320834 0.225360i
\(526\) 22.1044 14.2469i 0.963798 0.621192i
\(527\) −6.88538 1.84493i −0.299932 0.0803665i
\(528\) −7.97397 31.1495i −0.347022 1.35561i
\(529\) 22.2018 5.94895i 0.965295 0.258650i
\(530\) −19.4386 + 21.4399i −0.844358 + 0.931289i
\(531\) 27.2152 + 19.0244i 1.18104 + 0.825588i
\(532\) 24.8360 + 13.2859i 1.07678 + 0.576017i
\(533\) 0.315449 0.155562i 0.0136636 0.00673814i
\(534\) 3.03945 8.21687i 0.131530 0.355579i
\(535\) 4.27983 + 32.5086i 0.185033 + 1.40547i
\(536\) −2.49837 30.6605i −0.107913 1.32433i
\(537\) 31.8862 + 2.42690i 1.37599 + 0.104728i
\(538\) 13.0964 7.27524i 0.564626 0.313658i
\(539\) −2.45110 12.3225i −0.105576 0.530768i
\(540\) −12.6918 + 16.5691i −0.546167 + 0.713021i
\(541\) −10.3741 15.5259i −0.446018 0.667513i 0.538535 0.842603i \(-0.318978\pi\)
−0.984552 + 0.175091i \(0.943978\pi\)
\(542\) 3.34750 40.7410i 0.143788 1.74998i
\(543\) 10.7750 21.2824i 0.462399 0.913316i
\(544\) 17.6069 + 7.65055i 0.754890 + 0.328014i
\(545\) 26.0393 15.0338i 1.11540 0.643977i
\(546\) 0.396838 + 0.243656i 0.0169831 + 0.0104275i
\(547\) 40.2470 2.63793i 1.72084 0.112790i 0.827294 0.561769i \(-0.189879\pi\)
0.893542 + 0.448979i \(0.148212\pi\)
\(548\) 20.7681 11.0918i 0.887171 0.473817i
\(549\) −4.37447 13.8361i −0.186698 0.590510i
\(550\) −3.26218 + 5.44054i −0.139100 + 0.231985i
\(551\) −1.16836 + 8.87456i −0.0497737 + 0.378069i
\(552\) 0.422136 0.426669i 0.0179673 0.0181602i
\(553\) 6.83672 + 51.9300i 0.290727 + 2.20829i
\(554\) −8.77090 + 20.2227i −0.372640 + 0.859178i
\(555\) 5.76275 9.74332i 0.244615 0.413581i
\(556\) −0.191527 + 0.820161i −0.00812255 + 0.0347826i
\(557\) −7.89754 + 39.7036i −0.334629 + 1.68230i 0.337076 + 0.941477i \(0.390562\pi\)
−0.671706 + 0.740818i \(0.734438\pi\)
\(558\) 0.916373 8.86438i 0.0387932 0.375259i
\(559\) −0.325923 0.325923i −0.0137851 0.0137851i
\(560\) 6.46168 + 24.1807i 0.273056 + 1.02182i
\(561\) 5.60301 26.6980i 0.236559 1.12719i
\(562\) 0.208083 + 0.322847i 0.00877746 + 0.0136185i
\(563\) 8.74087 + 25.7498i 0.368384 + 1.08522i 0.960239 + 0.279180i \(0.0900625\pi\)
−0.591855 + 0.806044i \(0.701604\pi\)
\(564\) 6.38234 + 28.7813i 0.268745 + 1.21191i
\(565\) −3.81917 7.74452i −0.160674 0.325814i
\(566\) −6.94904 + 46.7922i −0.292090 + 1.96682i
\(567\) −26.3345 + 9.63192i −1.10594 + 0.404503i
\(568\) 16.9113 22.7781i 0.709581 0.955747i
\(569\) −11.0065 1.44903i −0.461415 0.0607464i −0.103764 0.994602i \(-0.533089\pi\)
−0.357650 + 0.933856i \(0.616422\pi\)
\(570\) −4.92637 + 21.6841i −0.206343 + 0.908248i
\(571\) 16.4126 + 18.7150i 0.686846 + 0.783198i 0.985228 0.171249i \(-0.0547803\pi\)
−0.298382 + 0.954447i \(0.596447\pi\)
\(572\) −0.329742 0.460483i −0.0137872 0.0192538i
\(573\) 7.47268 17.5174i 0.312176 0.731798i
\(574\) 16.4282 + 19.3695i 0.685700 + 0.808469i
\(575\) −0.118414 −0.00493819
\(576\) −5.96369 + 23.2472i −0.248487 + 0.968635i
\(577\) −28.4246 −1.18333 −0.591667 0.806183i \(-0.701530\pi\)
−0.591667 + 0.806183i \(0.701530\pi\)
\(578\) −5.01588 5.91393i −0.208633 0.245987i
\(579\) 16.8232 + 22.4084i 0.699148 + 0.931261i
\(580\) −6.46708 + 4.63093i −0.268531 + 0.192289i
\(581\) 9.61130 + 10.9596i 0.398744 + 0.454680i
\(582\) −10.4811 + 3.24451i −0.434456 + 0.134489i
\(583\) 46.8841 + 6.17241i 1.94174 + 0.255635i
\(584\) −46.3537 + 6.85191i −1.91813 + 0.283534i
\(585\) −0.102598 + 0.353030i −0.00424189 + 0.0145960i
\(586\) −1.93510 + 13.0302i −0.0799383 + 0.538274i
\(587\) −12.6425 25.6364i −0.521811 1.05813i −0.985110 0.171926i \(-0.945001\pi\)
0.463299 0.886202i \(-0.346666\pi\)
\(588\) −2.81947 + 8.94396i −0.116273 + 0.368843i
\(589\) −3.05193 8.99069i −0.125752 0.370455i
\(590\) 17.0310 + 26.4241i 0.701156 + 1.08786i
\(591\) −2.21584 + 0.726285i −0.0911476 + 0.0298754i
\(592\) 1.70775 12.9043i 0.0701883 0.530363i
\(593\) −16.8436 16.8436i −0.691685 0.691685i 0.270917 0.962603i \(-0.412673\pi\)
−0.962603 + 0.270917i \(0.912673\pi\)
\(594\) 34.0650 + 1.63898i 1.39770 + 0.0672480i
\(595\) −4.14272 + 20.8269i −0.169835 + 0.853818i
\(596\) 26.6441 + 6.22202i 1.09138 + 0.254864i
\(597\) 4.08142 + 7.24408i 0.167041 + 0.296480i
\(598\) 0.00420671 0.00969922i 0.000172025 0.000396631i
\(599\) −0.192797 1.46444i −0.00787749 0.0598354i 0.987055 0.160384i \(-0.0512734\pi\)
−0.994932 + 0.100549i \(0.967940\pi\)
\(600\) 4.08787 2.38933i 0.166887 0.0975440i
\(601\) 1.79561 13.6390i 0.0732444 0.556346i −0.914999 0.403457i \(-0.867809\pi\)
0.988243 0.152890i \(-0.0488580\pi\)
\(602\) 17.1162 28.5457i 0.697603 1.16343i
\(603\) 31.8603 + 7.03696i 1.29745 + 0.286567i
\(604\) −6.90186 12.9230i −0.280833 0.525828i
\(605\) −21.1208 + 1.38433i −0.858683 + 0.0562810i
\(606\) −27.1235 + 14.6965i −1.10182 + 0.597003i
\(607\) 12.3064 7.10509i 0.499500 0.288387i −0.229007 0.973425i \(-0.573548\pi\)
0.728507 + 0.685038i \(0.240215\pi\)
\(608\) 4.55620 + 25.1607i 0.184778 + 1.02040i
\(609\) −10.6703 + 0.586760i −0.432381 + 0.0237767i
\(610\) 1.12503 13.6922i 0.0455511 0.554383i
\(611\) 0.288496 + 0.431764i 0.0116713 + 0.0174673i
\(612\) −13.2507 + 15.4603i −0.535628 + 0.624944i
\(613\) 3.88413 + 19.5268i 0.156878 + 0.788681i 0.976457 + 0.215714i \(0.0692078\pi\)
−0.819578 + 0.572967i \(0.805792\pi\)
\(614\) −6.36233 + 3.53437i −0.256763 + 0.142636i
\(615\) −11.3146 + 16.5540i −0.456248 + 0.667521i
\(616\) 26.4751 31.1726i 1.06671 1.25598i
\(617\) 0.307275 + 2.33398i 0.0123704 + 0.0939627i 0.996516 0.0833982i \(-0.0265773\pi\)
−0.984146 + 0.177361i \(0.943244\pi\)
\(618\) −12.8233 + 2.19200i −0.515827 + 0.0881753i
\(619\) −4.33343 + 2.13701i −0.174175 + 0.0858938i −0.527286 0.849688i \(-0.676790\pi\)
0.353111 + 0.935581i \(0.385124\pi\)
\(620\) 3.97971 7.43947i 0.159829 0.298776i
\(621\) 0.300760 + 0.561088i 0.0120691 + 0.0225157i
\(622\) −19.2787 + 21.2636i −0.773007 + 0.852592i
\(623\) 10.7639 2.88417i 0.431245 0.115552i
\(624\) 0.0504855 + 0.419718i 0.00202104 + 0.0168022i
\(625\) 18.5779 + 4.97794i 0.743117 + 0.199118i
\(626\) 17.3953 11.2117i 0.695257 0.448111i
\(627\) 33.7137 13.5512i 1.34640 0.541181i
\(628\) −19.7653 14.1737i −0.788721 0.565593i
\(629\) 6.13546 9.18236i 0.244637 0.366125i
\(630\) −26.5287 0.996920i −1.05693 0.0397183i
\(631\) −12.8387 + 30.9954i −0.511102 + 1.23391i 0.432141 + 0.901806i \(0.357758\pi\)
−0.943243 + 0.332103i \(0.892242\pi\)
\(632\) −33.0855 + 34.1517i −1.31607 + 1.35848i
\(633\) 39.4947 18.9630i 1.56977 0.753711i
\(634\) −19.3346 19.9847i −0.767876 0.793693i
\(635\) −15.7626 17.9738i −0.625519 0.713267i
\(636\) −28.4660 20.8697i −1.12875 0.827538i
\(637\) 0.0108036 + 0.164831i 0.000428053 + 0.00653083i
\(638\) 12.2368 + 4.38072i 0.484458 + 0.173434i
\(639\) 17.8119 + 24.2523i 0.704626 + 0.959405i
\(640\) −13.5570 + 18.2344i −0.535888 + 0.720778i
\(641\) 6.23371 10.7971i 0.246217 0.426460i −0.716256 0.697837i \(-0.754146\pi\)
0.962473 + 0.271378i \(0.0874792\pi\)
\(642\) −38.8943 + 9.30207i −1.53504 + 0.367123i
\(643\) −2.03061 1.00139i −0.0800794 0.0394908i 0.401808 0.915724i \(-0.368382\pi\)
−0.481887 + 0.876233i \(0.660049\pi\)
\(644\) 0.753191 + 0.124614i 0.0296799 + 0.00491047i
\(645\) 25.3086 + 7.06747i 0.996527 + 0.278281i
\(646\) −5.96036 + 20.8588i −0.234507 + 0.820678i
\(647\) −10.2632 24.7776i −0.403488 0.974107i −0.986812 0.161868i \(-0.948248\pi\)
0.583324 0.812239i \(-0.301752\pi\)
\(648\) −21.7044 13.3012i −0.852628 0.522519i
\(649\) 19.6580 47.4586i 0.771644 1.86291i
\(650\) 0.0518592 0.0653194i 0.00203408 0.00256204i
\(651\) 9.87557 5.56404i 0.387054 0.218072i
\(652\) 4.63242 2.09703i 0.181419 0.0821262i
\(653\) −9.46195 27.8740i −0.370275 1.09079i −0.959230 0.282628i \(-0.908794\pi\)
0.588955 0.808166i \(-0.299540\pi\)
\(654\) 21.5295 + 29.6869i 0.841871 + 1.16085i
\(655\) −3.90925 14.5895i −0.152747 0.570060i
\(656\) −4.51346 + 22.6108i −0.176221 + 0.882805i
\(657\) 7.52184 49.1272i 0.293455 1.91664i
\(658\) −25.1866 + 27.7797i −0.981876 + 1.08297i
\(659\) 31.7628 + 27.8552i 1.23730 + 1.08508i 0.993331 + 0.115302i \(0.0367835\pi\)
0.243971 + 0.969783i \(0.421550\pi\)
\(660\) 29.2638 + 13.6440i 1.13909 + 0.531091i
\(661\) −0.557823 + 8.51073i −0.0216968 + 0.331029i 0.973188 + 0.230012i \(0.0738764\pi\)
−0.994885 + 0.101017i \(0.967790\pi\)
\(662\) −35.0022 15.1810i −1.36040 0.590028i
\(663\) −0.118852 + 0.338393i −0.00461582 + 0.0131421i
\(664\) −2.37558 + 13.0183i −0.0921905 + 0.505209i
\(665\) −26.1310 + 10.8238i −1.01332 + 0.419729i
\(666\) 12.5480 + 5.75875i 0.486227 + 0.223147i
\(667\) 0.0473318 + 0.237953i 0.00183270 + 0.00921358i
\(668\) −21.0318 + 19.6851i −0.813746 + 0.761641i
\(669\) −23.5469 10.0448i −0.910377 0.388355i
\(670\) 25.3974 + 17.5841i 0.981186 + 0.679334i
\(671\) −19.4412 + 11.2244i −0.750521 + 0.433313i
\(672\) −28.5161 + 10.8959i −1.10003 + 0.420317i
\(673\) 16.2716 + 9.39440i 0.627223 + 0.362128i 0.779676 0.626183i \(-0.215384\pi\)
−0.152453 + 0.988311i \(0.548717\pi\)
\(674\) −2.87442 6.08011i −0.110719 0.234197i
\(675\) 1.14618 + 4.88961i 0.0441166 + 0.188201i
\(676\) −12.2451 22.9275i −0.470964 0.881828i
\(677\) 9.76085 + 3.31336i 0.375140 + 0.127343i 0.502640 0.864496i \(-0.332362\pi\)
−0.127500 + 0.991839i \(0.540695\pi\)
\(678\) 8.91183 5.61216i 0.342257 0.215534i
\(679\) −11.0717 8.49562i −0.424893 0.326032i
\(680\) −17.1520 + 8.79924i −0.657751 + 0.337435i
\(681\) 7.27753 1.36820i 0.278875 0.0524297i
\(682\) −13.6963 + 1.57328i −0.524457 + 0.0602441i
\(683\) 35.8305 + 23.9412i 1.37102 + 0.916083i 0.999922 0.0125126i \(-0.00398299\pi\)
0.371093 + 0.928596i \(0.378983\pi\)
\(684\) −26.9274 3.23440i −1.02960 0.123670i
\(685\) −4.61249 + 23.1885i −0.176234 + 0.885989i
\(686\) 18.0093 5.78312i 0.687597 0.220800i
\(687\) −21.3731 + 23.8605i −0.815435 + 0.910336i
\(688\) 29.9599 3.92370i 1.14221 0.149590i
\(689\) −0.600544 0.160915i −0.0228789 0.00613038i
\(690\) 0.0624812 + 0.599464i 0.00237862 + 0.0228212i
\(691\) 31.9842 36.4710i 1.21674 1.38742i 0.318494 0.947925i \(-0.396823\pi\)
0.898243 0.439499i \(-0.144844\pi\)
\(692\) 13.7727 11.2952i 0.523561 0.429380i
\(693\) 23.3363 + 36.5672i 0.886474 + 1.38907i
\(694\) 6.63161 44.6547i 0.251732 1.69507i
\(695\) −0.514857 0.670975i −0.0195296 0.0254515i
\(696\) −6.43537 7.25955i −0.243932 0.275173i
\(697\) −11.9084 + 15.5193i −0.451061 + 0.587834i
\(698\) 19.8539 19.2081i 0.751482 0.727037i
\(699\) 49.9657 + 13.9530i 1.88988 + 0.527751i
\(700\) 5.48493 + 2.48742i 0.207311 + 0.0940157i
\(701\) 7.63690 5.10282i 0.288442 0.192731i −0.402928 0.915232i \(-0.632008\pi\)
0.691370 + 0.722501i \(0.257008\pi\)
\(702\) −0.441225 0.0798228i −0.0166530 0.00301272i
\(703\) 14.7095 0.554780
\(704\) 37.1070 + 1.25241i 1.39852 + 0.0472021i
\(705\) −26.4115 13.3718i −0.994716 0.503611i
\(706\) 19.7553 3.59115i 0.743500 0.135155i
\(707\) −35.1921 17.3548i −1.32353 0.652694i
\(708\) −29.9012 + 24.0010i −1.12375 + 0.902011i
\(709\) 11.5260 33.9546i 0.432869 1.27519i −0.483671 0.875250i \(-0.660697\pi\)
0.916541 0.399942i \(-0.130970\pi\)
\(710\) 6.91736 + 27.6355i 0.259604 + 1.03714i
\(711\) −24.2931 44.1979i −0.911061 1.65755i
\(712\) 8.12246 + 6.03041i 0.304402 + 0.225999i
\(713\) −0.156661 0.204165i −0.00586701 0.00764603i
\(714\) −25.7884 2.39216i −0.965107 0.0895242i
\(715\) 0.567518 + 0.0371971i 0.0212240 + 0.00139109i
\(716\) −13.0187 + 34.5544i −0.486531 + 1.29136i
\(717\) −3.73270 + 26.2193i −0.139400 + 0.979176i
\(718\) 23.1307 45.0129i 0.863229 1.67987i
\(719\) 11.9485 11.9485i 0.445604 0.445604i −0.448286 0.893890i \(-0.647965\pi\)
0.893890 + 0.448286i \(0.147965\pi\)
\(720\) −14.2529 19.4339i −0.531173 0.724260i
\(721\) −11.7006 11.7006i −0.435753 0.435753i
\(722\) −1.92805 + 0.619134i −0.0717546 + 0.0230418i
\(723\) −1.52649 3.79772i −0.0567706 0.141239i
\(724\) 20.0977 + 18.8363i 0.746925 + 0.700045i
\(725\) −0.125179 + 1.90986i −0.00464902 + 0.0709303i
\(726\) −4.34976 25.4462i −0.161435 0.944396i
\(727\) −7.49405 + 5.75038i −0.277939 + 0.213270i −0.738319 0.674452i \(-0.764380\pi\)
0.460380 + 0.887722i \(0.347713\pi\)
\(728\) −0.398599 + 0.360902i −0.0147731 + 0.0133759i
\(729\) 20.2576 17.8502i 0.750281 0.661119i
\(730\) 24.1969 40.3547i 0.895569 1.49359i
\(731\) 24.2748 + 8.24017i 0.897835 + 0.304774i
\(732\) 16.7520 0.366460i 0.619172 0.0135448i
\(733\) 2.27166 4.60648i 0.0839058 0.170144i −0.850876 0.525367i \(-0.823928\pi\)
0.934782 + 0.355222i \(0.115595\pi\)
\(734\) 21.9284 31.6720i 0.809392 1.16903i
\(735\) −5.14919 7.88454i −0.189931 0.290826i
\(736\) 0.336150 + 0.606078i 0.0123906 + 0.0223403i
\(737\) 50.4759i 1.85930i
\(738\) −21.5119 11.6324i −0.791862 0.428196i
\(739\) −14.8574 22.2357i −0.546539 0.817953i 0.450664 0.892693i \(-0.351187\pi\)
−0.997203 + 0.0747407i \(0.976187\pi\)
\(740\) 8.93213 + 9.54320i 0.328352 + 0.350815i
\(741\) −0.462715 + 0.118784i −0.0169983 + 0.00436363i
\(742\) 0.742155 44.8896i 0.0272454 1.64795i
\(743\) −5.50002 4.22032i −0.201776 0.154828i 0.502931 0.864327i \(-0.332255\pi\)
−0.704707 + 0.709498i \(0.748922\pi\)
\(744\) 9.52785 + 3.88708i 0.349308 + 0.142507i
\(745\) −21.7975 + 16.7258i −0.798600 + 0.612788i
\(746\) −18.6884 + 13.8553i −0.684230 + 0.507280i
\(747\) −12.4552 6.47132i −0.455712 0.236773i
\(748\) 27.7753 + 14.8583i 1.01556 + 0.543272i
\(749\) −38.2437 33.5388i −1.39739 1.22548i
\(750\) −4.61677 + 28.9866i −0.168581 + 1.05844i
\(751\) 0.595743 2.22334i 0.0217390 0.0811309i −0.954204 0.299156i \(-0.903295\pi\)
0.975943 + 0.218025i \(0.0699615\pi\)
\(752\) −33.9667 2.24935i −1.23864 0.0820253i
\(753\) −12.8117 + 4.19927i −0.466884 + 0.153030i
\(754\) −0.151989 0.0781022i −0.00553511 0.00284431i
\(755\) 14.4291 + 2.87012i 0.525128 + 0.104454i
\(756\) −2.14487 32.3075i −0.0780082 1.17501i
\(757\) 7.94502 11.8906i 0.288767 0.432170i −0.658517 0.752566i \(-0.728816\pi\)
0.947284 + 0.320396i \(0.103816\pi\)
\(758\) −3.94532 + 4.96935i −0.143301 + 0.180495i
\(759\) 0.747232 0.641531i 0.0271228 0.0232861i
\(760\) −22.4375 12.4842i −0.813892 0.452849i
\(761\) −14.1161 + 18.3965i −0.511709 + 0.666872i −0.975736 0.218949i \(-0.929737\pi\)
0.464027 + 0.885821i \(0.346404\pi\)
\(762\) 19.8106 21.3938i 0.717663 0.775016i
\(763\) −14.9935 + 44.1695i −0.542802 + 1.59904i
\(764\) 16.9945 + 13.9566i 0.614838 + 0.504932i
\(765\) −3.56639 20.1334i −0.128943 0.727923i
\(766\) −16.0817 5.75721i −0.581057 0.208016i
\(767\) −0.337686 + 0.584890i −0.0121931 + 0.0211191i
\(768\) −23.8339 14.1402i −0.860031 0.510241i
\(769\) 26.2421 + 45.4526i 0.946313 + 1.63906i 0.753101 + 0.657905i \(0.228557\pi\)
0.193212 + 0.981157i \(0.438110\pi\)
\(770\) 7.34522 + 40.4068i 0.264703 + 1.45616i
\(771\) 1.09126 + 1.45355i 0.0393007 + 0.0523483i
\(772\) −30.2855 + 11.3870i −1.09000 +