Properties

Label 168.2.ba.c.101.20
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.20
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.20

$q$-expansion

\(f(q)\) \(=\) \(q+(1.26535 + 0.631567i) q^{2} +(-1.69273 + 0.366975i) q^{3} +(1.20225 + 1.59831i) q^{4} +(-2.66818 + 1.54047i) q^{5} +(-2.37367 - 0.604718i) q^{6} +(-1.46307 + 2.20441i) q^{7} +(0.511826 + 2.78173i) q^{8} +(2.73066 - 1.24238i) q^{9} +O(q^{10})\) \(q+(1.26535 + 0.631567i) q^{2} +(-1.69273 + 0.366975i) q^{3} +(1.20225 + 1.59831i) q^{4} +(-2.66818 + 1.54047i) q^{5} +(-2.37367 - 0.604718i) q^{6} +(-1.46307 + 2.20441i) q^{7} +(0.511826 + 2.78173i) q^{8} +(2.73066 - 1.24238i) q^{9} +(-4.34911 + 0.264112i) q^{10} +(0.621780 - 1.07696i) q^{11} +(-2.62162 - 2.26432i) q^{12} +5.98957 q^{13} +(-3.24353 + 1.86534i) q^{14} +(3.95119 - 3.58676i) q^{15} +(-1.10921 + 3.84313i) q^{16} +(0.595854 - 1.03205i) q^{17} +(4.23990 + 0.152545i) q^{18} +(-0.614126 - 1.06370i) q^{19} +(-5.66997 - 2.41256i) q^{20} +(1.66761 - 4.26838i) q^{21} +(1.46694 - 0.970035i) q^{22} +(-2.56956 + 1.48354i) q^{23} +(-1.88721 - 4.52089i) q^{24} +(2.24612 - 3.89040i) q^{25} +(7.57893 + 3.78282i) q^{26} +(-4.16634 + 3.10509i) q^{27} +(-5.28231 + 0.311808i) q^{28} +3.19900 q^{29} +(7.26494 - 2.04308i) q^{30} +(1.33987 + 0.773574i) q^{31} +(-3.83074 + 4.16238i) q^{32} +(-0.657290 + 2.05117i) q^{33} +(1.40578 - 0.929587i) q^{34} +(0.507883 - 8.13559i) q^{35} +(5.26863 + 2.87080i) q^{36} +(0.334978 - 0.193399i) q^{37} +(-0.105291 - 1.73382i) q^{38} +(-10.1387 + 2.19802i) q^{39} +(-5.65083 - 6.63371i) q^{40} +9.44060 q^{41} +(4.80589 - 4.34781i) q^{42} -8.29057i q^{43} +(2.46884 - 0.300965i) q^{44} +(-5.37204 + 7.52140i) q^{45} +(-4.18836 + 0.254350i) q^{46} +(3.34244 + 5.78928i) q^{47} +(0.467258 - 6.91243i) q^{48} +(-2.71887 - 6.45041i) q^{49} +(5.29919 - 3.50416i) q^{50} +(-0.629882 + 1.96564i) q^{51} +(7.20094 + 9.57321i) q^{52} +(-5.25317 + 9.09875i) q^{53} +(-7.23297 + 1.29772i) q^{54} +3.83135i q^{55} +(-6.88092 - 2.94158i) q^{56} +(1.42990 + 1.57518i) q^{57} +(4.04788 + 2.02039i) q^{58} +(3.22898 + 1.86425i) q^{59} +(10.4831 + 2.00307i) q^{60} +(-3.16493 - 5.48181i) q^{61} +(1.20685 + 1.82506i) q^{62} +(-1.25642 + 7.83718i) q^{63} +(-7.47607 + 2.84752i) q^{64} +(-15.9813 + 9.22678i) q^{65} +(-2.12716 + 2.18034i) q^{66} +(10.7324 + 6.19634i) q^{67} +(2.36590 - 0.288416i) q^{68} +(3.80515 - 3.45419i) q^{69} +(5.78082 - 9.97364i) q^{70} -6.21100i q^{71} +(4.85358 + 6.96008i) q^{72} +(-8.92963 - 5.15552i) q^{73} +(0.546010 - 0.0331580i) q^{74} +(-2.37440 + 7.40966i) q^{75} +(0.961791 - 2.26039i) q^{76} +(1.46435 + 2.94632i) q^{77} +(-14.2173 - 3.62200i) q^{78} +(-6.41425 - 11.1098i) q^{79} +(-2.96067 - 11.9629i) q^{80} +(5.91299 - 6.78502i) q^{81} +(11.9457 + 5.96237i) q^{82} -5.22882i q^{83} +(8.82709 - 2.46628i) q^{84} +3.67159i q^{85} +(5.23605 - 10.4905i) q^{86} +(-5.41505 + 1.17396i) q^{87} +(3.31404 + 1.17841i) q^{88} +(-6.94090 - 12.0220i) q^{89} +(-11.5478 + 6.12444i) q^{90} +(-8.76314 + 13.2035i) q^{91} +(-5.46040 - 2.32339i) q^{92} +(-2.55192 - 0.817752i) q^{93} +(0.573057 + 9.43648i) q^{94} +(3.27720 + 1.89209i) q^{95} +(4.95691 - 8.45157i) q^{96} +17.1489i q^{97} +(0.633524 - 9.87920i) q^{98} +(0.359884 - 3.71328i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.26535 + 0.631567i 0.894741 + 0.446585i
\(3\) −1.69273 + 0.366975i −0.977297 + 0.211873i
\(4\) 1.20225 + 1.59831i 0.601123 + 0.799157i
\(5\) −2.66818 + 1.54047i −1.19325 + 0.688921i −0.959041 0.283266i \(-0.908582\pi\)
−0.234205 + 0.972187i \(0.575249\pi\)
\(6\) −2.37367 0.604718i −0.969047 0.246875i
\(7\) −1.46307 + 2.20441i −0.552987 + 0.833190i
\(8\) 0.511826 + 2.78173i 0.180958 + 0.983491i
\(9\) 2.73066 1.24238i 0.910220 0.414126i
\(10\) −4.34911 + 0.264112i −1.37531 + 0.0835195i
\(11\) 0.621780 1.07696i 0.187474 0.324714i −0.756933 0.653492i \(-0.773303\pi\)
0.944407 + 0.328778i \(0.106637\pi\)
\(12\) −2.62162 2.26432i −0.756796 0.653652i
\(13\) 5.98957 1.66121 0.830604 0.556864i \(-0.187995\pi\)
0.830604 + 0.556864i \(0.187995\pi\)
\(14\) −3.24353 + 1.86534i −0.866871 + 0.498533i
\(15\) 3.95119 3.58676i 1.02019 0.926098i
\(16\) −1.10921 + 3.84313i −0.277302 + 0.960783i
\(17\) 0.595854 1.03205i 0.144516 0.250309i −0.784676 0.619906i \(-0.787171\pi\)
0.929192 + 0.369597i \(0.120504\pi\)
\(18\) 4.23990 + 0.152545i 0.999353 + 0.0359552i
\(19\) −0.614126 1.06370i −0.140890 0.244029i 0.786942 0.617027i \(-0.211663\pi\)
−0.927832 + 0.372998i \(0.878330\pi\)
\(20\) −5.66997 2.41256i −1.26784 0.539464i
\(21\) 1.66761 4.26838i 0.363902 0.931437i
\(22\) 1.46694 0.970035i 0.312753 0.206812i
\(23\) −2.56956 + 1.48354i −0.535791 + 0.309339i −0.743371 0.668879i \(-0.766774\pi\)
0.207581 + 0.978218i \(0.433441\pi\)
\(24\) −1.88721 4.52089i −0.385225 0.922823i
\(25\) 2.24612 3.89040i 0.449225 0.778080i
\(26\) 7.57893 + 3.78282i 1.48635 + 0.741871i
\(27\) −4.16634 + 3.10509i −0.801813 + 0.597575i
\(28\) −5.28231 + 0.311808i −0.998262 + 0.0589262i
\(29\) 3.19900 0.594040 0.297020 0.954871i \(-0.404007\pi\)
0.297020 + 0.954871i \(0.404007\pi\)
\(30\) 7.26494 2.04308i 1.32639 0.373014i
\(31\) 1.33987 + 0.773574i 0.240648 + 0.138938i 0.615474 0.788157i \(-0.288964\pi\)
−0.374827 + 0.927095i \(0.622298\pi\)
\(32\) −3.83074 + 4.16238i −0.677185 + 0.735812i
\(33\) −0.657290 + 2.05117i −0.114419 + 0.357063i
\(34\) 1.40578 0.929587i 0.241088 0.159423i
\(35\) 0.507883 8.13559i 0.0858478 1.37517i
\(36\) 5.26863 + 2.87080i 0.878105 + 0.478467i
\(37\) 0.334978 0.193399i 0.0550700 0.0317947i −0.472212 0.881485i \(-0.656544\pi\)
0.527282 + 0.849690i \(0.323211\pi\)
\(38\) −0.105291 1.73382i −0.0170804 0.281262i
\(39\) −10.1387 + 2.19802i −1.62349 + 0.351965i
\(40\) −5.65083 6.63371i −0.893475 1.04888i
\(41\) 9.44060 1.47437 0.737187 0.675689i \(-0.236154\pi\)
0.737187 + 0.675689i \(0.236154\pi\)
\(42\) 4.80589 4.34781i 0.741564 0.670882i
\(43\) 8.29057i 1.26430i −0.774846 0.632150i \(-0.782173\pi\)
0.774846 0.632150i \(-0.217827\pi\)
\(44\) 2.46884 0.300965i 0.372192 0.0453722i
\(45\) −5.37204 + 7.52140i −0.800816 + 1.12122i
\(46\) −4.18836 + 0.254350i −0.617540 + 0.0375019i
\(47\) 3.34244 + 5.78928i 0.487546 + 0.844454i 0.999897 0.0143219i \(-0.00455895\pi\)
−0.512352 + 0.858776i \(0.671226\pi\)
\(48\) 0.467258 6.91243i 0.0674429 0.997723i
\(49\) −2.71887 6.45041i −0.388410 0.921486i
\(50\) 5.29919 3.50416i 0.749419 0.495563i
\(51\) −0.629882 + 1.96564i −0.0882012 + 0.275245i
\(52\) 7.20094 + 9.57321i 0.998590 + 1.32757i
\(53\) −5.25317 + 9.09875i −0.721578 + 1.24981i 0.238789 + 0.971071i \(0.423250\pi\)
−0.960367 + 0.278738i \(0.910084\pi\)
\(54\) −7.23297 + 1.29772i −0.984283 + 0.176597i
\(55\) 3.83135i 0.516619i
\(56\) −6.88092 2.94158i −0.919502 0.393086i
\(57\) 1.42990 + 1.57518i 0.189395 + 0.208638i
\(58\) 4.04788 + 2.02039i 0.531512 + 0.265290i
\(59\) 3.22898 + 1.86425i 0.420377 + 0.242705i 0.695238 0.718779i \(-0.255299\pi\)
−0.274862 + 0.961484i \(0.588632\pi\)
\(60\) 10.4831 + 2.00307i 1.35336 + 0.258595i
\(61\) −3.16493 5.48181i −0.405227 0.701874i 0.589121 0.808045i \(-0.299474\pi\)
−0.994348 + 0.106171i \(0.966141\pi\)
\(62\) 1.20685 + 1.82506i 0.153270 + 0.231783i
\(63\) −1.25642 + 7.83718i −0.158294 + 0.987392i
\(64\) −7.47607 + 2.84752i −0.934509 + 0.355940i
\(65\) −15.9813 + 9.22678i −1.98223 + 1.14444i
\(66\) −2.12716 + 2.18034i −0.261835 + 0.268381i
\(67\) 10.7324 + 6.19634i 1.31117 + 0.757003i 0.982290 0.187369i \(-0.0599961\pi\)
0.328878 + 0.944372i \(0.393329\pi\)
\(68\) 2.36590 0.288416i 0.286908 0.0349755i
\(69\) 3.80515 3.45419i 0.458086 0.415836i
\(70\) 5.78082 9.97364i 0.690940 1.19208i
\(71\) 6.21100i 0.737110i −0.929606 0.368555i \(-0.879853\pi\)
0.929606 0.368555i \(-0.120147\pi\)
\(72\) 4.85358 + 6.96008i 0.572000 + 0.820253i
\(73\) −8.92963 5.15552i −1.04513 0.603408i −0.123851 0.992301i \(-0.539524\pi\)
−0.921283 + 0.388893i \(0.872858\pi\)
\(74\) 0.546010 0.0331580i 0.0634724 0.00385454i
\(75\) −2.37440 + 7.40966i −0.274172 + 0.855594i
\(76\) 0.961791 2.26039i 0.110325 0.259285i
\(77\) 1.46435 + 2.94632i 0.166878 + 0.335764i
\(78\) −14.2173 3.62200i −1.60979 0.410111i
\(79\) −6.41425 11.1098i −0.721660 1.24995i −0.960334 0.278852i \(-0.910046\pi\)
0.238674 0.971100i \(-0.423287\pi\)
\(80\) −2.96067 11.9629i −0.331013 1.33749i
\(81\) 5.91299 6.78502i 0.656999 0.753891i
\(82\) 11.9457 + 5.96237i 1.31918 + 0.658434i
\(83\) 5.22882i 0.573938i −0.957940 0.286969i \(-0.907352\pi\)
0.957940 0.286969i \(-0.0926476\pi\)
\(84\) 8.82709 2.46628i 0.963114 0.269093i
\(85\) 3.67159i 0.398240i
\(86\) 5.23605 10.4905i 0.564618 1.13122i
\(87\) −5.41505 + 1.17396i −0.580554 + 0.125861i
\(88\) 3.31404 + 1.17841i 0.353278 + 0.125619i
\(89\) −6.94090 12.0220i −0.735734 1.27433i −0.954400 0.298529i \(-0.903504\pi\)
0.218666 0.975800i \(-0.429829\pi\)
\(90\) −11.5478 + 6.12444i −1.21725 + 0.645572i
\(91\) −8.76314 + 13.2035i −0.918627 + 1.38410i
\(92\) −5.46040 2.32339i −0.569286 0.242230i
\(93\) −2.55192 0.817752i −0.264621 0.0847969i
\(94\) 0.573057 + 9.43648i 0.0591063 + 0.973298i
\(95\) 3.27720 + 1.89209i 0.336233 + 0.194124i
\(96\) 4.95691 8.45157i 0.505913 0.862585i
\(97\) 17.1489i 1.74120i 0.491989 + 0.870601i \(0.336270\pi\)
−0.491989 + 0.870601i \(0.663730\pi\)
\(98\) 0.633524 9.87920i 0.0639956 0.997950i
\(99\) 0.359884 3.71328i 0.0361697 0.373199i
\(100\) 8.91847 1.08721i 0.891847 0.108721i
\(101\) −2.87413 1.65938i −0.285986 0.165114i 0.350144 0.936696i \(-0.386133\pi\)
−0.636130 + 0.771582i \(0.719466\pi\)
\(102\) −2.03846 + 2.08942i −0.201838 + 0.206884i
\(103\) 10.7667 6.21615i 1.06087 0.612496i 0.135200 0.990818i \(-0.456832\pi\)
0.925674 + 0.378322i \(0.123499\pi\)
\(104\) 3.06561 + 16.6614i 0.300608 + 1.63378i
\(105\) 2.12585 + 13.9577i 0.207462 + 1.36213i
\(106\) −12.3936 + 8.19542i −1.20377 + 0.796010i
\(107\) 4.79031 + 8.29706i 0.463097 + 0.802107i 0.999113 0.0421002i \(-0.0134049\pi\)
−0.536017 + 0.844207i \(0.680072\pi\)
\(108\) −9.97188 2.92603i −0.959544 0.281558i
\(109\) 0.510424 + 0.294693i 0.0488898 + 0.0282265i 0.524246 0.851567i \(-0.324347\pi\)
−0.475356 + 0.879794i \(0.657681\pi\)
\(110\) −2.41975 + 4.84801i −0.230714 + 0.462240i
\(111\) −0.496053 + 0.450301i −0.0470833 + 0.0427407i
\(112\) −6.84900 8.06791i −0.647170 0.762346i
\(113\) 7.02041i 0.660425i −0.943907 0.330212i \(-0.892880\pi\)
0.943907 0.330212i \(-0.107120\pi\)
\(114\) 0.814496 + 2.89624i 0.0762845 + 0.271258i
\(115\) 4.57070 7.91669i 0.426220 0.738235i
\(116\) 3.84599 + 5.11301i 0.357091 + 0.474731i
\(117\) 16.3555 7.44131i 1.51206 0.687950i
\(118\) 2.90840 + 4.39825i 0.267740 + 0.404892i
\(119\) 1.40329 + 2.82346i 0.128639 + 0.258827i
\(120\) 11.9997 + 9.15535i 1.09542 + 0.835766i
\(121\) 4.72678 + 8.18702i 0.429707 + 0.744275i
\(122\) −0.542622 8.93530i −0.0491267 0.808964i
\(123\) −15.9804 + 3.46446i −1.44090 + 0.312380i
\(124\) 0.374439 + 3.07156i 0.0336256 + 0.275834i
\(125\) 1.56436i 0.139921i
\(126\) −6.53952 + 9.12330i −0.582587 + 0.812768i
\(127\) −5.88744 −0.522426 −0.261213 0.965281i \(-0.584123\pi\)
−0.261213 + 0.965281i \(0.584123\pi\)
\(128\) −11.2583 1.11851i −0.995101 0.0988635i
\(129\) 3.04243 + 14.0337i 0.267871 + 1.23560i
\(130\) −26.0493 + 1.58192i −2.28467 + 0.138743i
\(131\) 3.67922 2.12420i 0.321455 0.185592i −0.330586 0.943776i \(-0.607246\pi\)
0.652041 + 0.758184i \(0.273913\pi\)
\(132\) −4.06864 + 1.41546i −0.354129 + 0.123200i
\(133\) 3.24333 + 0.202473i 0.281233 + 0.0175566i
\(134\) 9.66685 + 14.6188i 0.835089 + 1.26287i
\(135\) 6.33323 14.7031i 0.545078 1.26544i
\(136\) 3.17586 + 1.12928i 0.272328 + 0.0968347i
\(137\) −0.674838 0.389618i −0.0576553 0.0332873i 0.470895 0.882189i \(-0.343931\pi\)
−0.528551 + 0.848902i \(0.677264\pi\)
\(138\) 6.99642 1.96757i 0.595574 0.167491i
\(139\) −5.54714 −0.470502 −0.235251 0.971935i \(-0.575591\pi\)
−0.235251 + 0.971935i \(0.575591\pi\)
\(140\) 13.6138 8.96922i 1.15058 0.758037i
\(141\) −7.78237 8.57309i −0.655394 0.721984i
\(142\) 3.92266 7.85911i 0.329182 0.659522i
\(143\) 3.72420 6.45050i 0.311433 0.539418i
\(144\) 1.74575 + 11.8723i 0.145479 + 0.989361i
\(145\) −8.53552 + 4.92798i −0.708836 + 0.409247i
\(146\) −8.04309 12.1632i −0.665651 1.00664i
\(147\) 6.96945 + 9.92102i 0.574831 + 0.818272i
\(148\) 0.711838 + 0.302886i 0.0585128 + 0.0248970i
\(149\) −2.07219 3.58914i −0.169761 0.294034i 0.768575 0.639760i \(-0.220966\pi\)
−0.938336 + 0.345726i \(0.887633\pi\)
\(150\) −7.68415 + 7.87626i −0.627408 + 0.643094i
\(151\) 2.16486 3.74965i 0.176174 0.305142i −0.764393 0.644751i \(-0.776961\pi\)
0.940567 + 0.339608i \(0.110295\pi\)
\(152\) 2.64459 2.25276i 0.214505 0.182723i
\(153\) 0.344878 3.55845i 0.0278817 0.287684i
\(154\) −0.00787757 + 4.65297i −0.000634793 + 0.374947i
\(155\) −4.76668 −0.382869
\(156\) −15.7024 13.5623i −1.25719 1.08585i
\(157\) 3.21017 5.56018i 0.256200 0.443751i −0.709021 0.705187i \(-0.750863\pi\)
0.965221 + 0.261437i \(0.0841963\pi\)
\(158\) −1.09971 18.1089i −0.0874885 1.44067i
\(159\) 5.55317 17.3295i 0.440395 1.37432i
\(160\) 3.80906 17.0071i 0.301132 1.34453i
\(161\) 0.489111 7.83489i 0.0385473 0.617476i
\(162\) 11.7672 4.85101i 0.924521 0.381131i
\(163\) 9.18195 5.30120i 0.719186 0.415222i −0.0952672 0.995452i \(-0.530371\pi\)
0.814453 + 0.580230i \(0.197037\pi\)
\(164\) 11.3499 + 15.0890i 0.886280 + 1.17826i
\(165\) −1.40601 6.48543i −0.109458 0.504890i
\(166\) 3.30235 6.61631i 0.256312 0.513526i
\(167\) 15.5718 1.20498 0.602492 0.798125i \(-0.294175\pi\)
0.602492 + 0.798125i \(0.294175\pi\)
\(168\) 12.7270 + 2.45418i 0.981911 + 0.189344i
\(169\) 22.8750 1.75961
\(170\) −2.31886 + 4.64587i −0.177848 + 0.356322i
\(171\) −2.99848 2.14162i −0.229300 0.163774i
\(172\) 13.2509 9.96730i 1.01037 0.759999i
\(173\) 1.61807 0.934192i 0.123019 0.0710253i −0.437228 0.899351i \(-0.644040\pi\)
0.560247 + 0.828326i \(0.310706\pi\)
\(174\) −7.59339 1.93450i −0.575653 0.146654i
\(175\) 5.28982 + 10.6433i 0.399873 + 0.804558i
\(176\) 3.44920 + 3.58415i 0.259993 + 0.270166i
\(177\) −6.14991 1.97071i −0.462256 0.148128i
\(178\) −1.19001 19.5957i −0.0891948 1.46876i
\(179\) 7.73124 13.3909i 0.577860 1.00088i −0.417864 0.908509i \(-0.637221\pi\)
0.995724 0.0923734i \(-0.0294454\pi\)
\(180\) −18.4801 + 0.456373i −1.37742 + 0.0340161i
\(181\) −16.6129 −1.23483 −0.617415 0.786638i \(-0.711820\pi\)
−0.617415 + 0.786638i \(0.711820\pi\)
\(182\) −19.4274 + 11.1726i −1.44005 + 0.828167i
\(183\) 7.36905 + 8.11777i 0.544736 + 0.600083i
\(184\) −5.44197 6.38852i −0.401187 0.470968i
\(185\) −0.595854 + 1.03205i −0.0438081 + 0.0758778i
\(186\) −2.71262 2.64645i −0.198899 0.194047i
\(187\) −0.740981 1.28342i −0.0541859 0.0938527i
\(188\) −5.23465 + 12.3024i −0.381776 + 0.897246i
\(189\) −0.749273 13.7273i −0.0545016 0.998514i
\(190\) 2.95183 + 4.46393i 0.214149 + 0.323848i
\(191\) 0.391130 0.225819i 0.0283012 0.0163397i −0.485783 0.874080i \(-0.661465\pi\)
0.514084 + 0.857740i \(0.328132\pi\)
\(192\) 11.6100 7.56361i 0.837878 0.545857i
\(193\) 0.859277 1.48831i 0.0618521 0.107131i −0.833441 0.552608i \(-0.813633\pi\)
0.895293 + 0.445477i \(0.146966\pi\)
\(194\) −10.8307 + 21.6994i −0.777596 + 1.55793i
\(195\) 23.6659 21.4832i 1.69475 1.53844i
\(196\) 7.04101 12.1006i 0.502930 0.864327i
\(197\) −16.4222 −1.17003 −0.585017 0.811021i \(-0.698912\pi\)
−0.585017 + 0.811021i \(0.698912\pi\)
\(198\) 2.80057 4.47133i 0.199028 0.317764i
\(199\) 0.839396 + 0.484625i 0.0595032 + 0.0343542i 0.529456 0.848337i \(-0.322396\pi\)
−0.469953 + 0.882691i \(0.655729\pi\)
\(200\) 11.9717 + 4.25691i 0.846525 + 0.301009i
\(201\) −20.4409 6.55020i −1.44179 0.462016i
\(202\) −2.58878 3.91491i −0.182146 0.275452i
\(203\) −4.68036 + 7.05193i −0.328497 + 0.494948i
\(204\) −3.89899 + 1.35644i −0.272984 + 0.0949695i
\(205\) −25.1892 + 14.5430i −1.75929 + 1.01573i
\(206\) 17.5496 1.06575i 1.22274 0.0742543i
\(207\) −5.17348 + 7.24340i −0.359582 + 0.503451i
\(208\) −6.64369 + 23.0187i −0.460657 + 1.59606i
\(209\) −1.52741 −0.105653
\(210\) −6.12528 + 19.0041i −0.422685 + 1.31141i
\(211\) 9.99340i 0.687974i 0.938974 + 0.343987i \(0.111778\pi\)
−0.938974 + 0.343987i \(0.888222\pi\)
\(212\) −20.8583 + 2.54273i −1.43255 + 0.174635i
\(213\) 2.27928 + 10.5135i 0.156174 + 0.720375i
\(214\) 0.821291 + 13.5241i 0.0561423 + 0.924491i
\(215\) 12.7714 + 22.1207i 0.871003 + 1.50862i
\(216\) −10.7700 10.0004i −0.732804 0.680440i
\(217\) −3.66559 + 1.82184i −0.248837 + 0.123674i
\(218\) 0.459749 + 0.695259i 0.0311381 + 0.0470889i
\(219\) 17.0074 + 5.44995i 1.14925 + 0.368273i
\(220\) −6.12369 + 4.60622i −0.412859 + 0.310551i
\(221\) 3.56891 6.18153i 0.240071 0.415815i
\(222\) −0.912079 + 0.256500i −0.0612147 + 0.0172151i
\(223\) 13.7534i 0.920996i 0.887661 + 0.460498i \(0.152329\pi\)
−0.887661 + 0.460498i \(0.847671\pi\)
\(224\) −3.57099 14.5344i −0.238597 0.971119i
\(225\) 1.30005 13.4139i 0.0866699 0.894259i
\(226\) 4.43386 8.88331i 0.294936 0.590909i
\(227\) −4.13075 2.38489i −0.274167 0.158291i 0.356613 0.934252i \(-0.383932\pi\)
−0.630780 + 0.775962i \(0.717265\pi\)
\(228\) −0.798543 + 4.17918i −0.0528848 + 0.276773i
\(229\) −0.743202 1.28726i −0.0491122 0.0850648i 0.840424 0.541929i \(-0.182306\pi\)
−0.889536 + 0.456864i \(0.848973\pi\)
\(230\) 10.7835 7.13071i 0.711042 0.470185i
\(231\) −3.55997 4.44994i −0.234229 0.292784i
\(232\) 1.63733 + 8.89877i 0.107496 + 0.584233i
\(233\) −2.00188 + 1.15579i −0.131148 + 0.0757182i −0.564139 0.825680i \(-0.690792\pi\)
0.432991 + 0.901398i \(0.357458\pi\)
\(234\) 25.3952 + 0.913678i 1.66013 + 0.0597290i
\(235\) −17.8365 10.2979i −1.16352 0.671761i
\(236\) 0.902367 + 7.40220i 0.0587391 + 0.481842i
\(237\) 14.9346 + 16.4520i 0.970108 + 1.06867i
\(238\) −0.00754910 + 4.45896i −0.000489335 + 0.289031i
\(239\) 21.6031i 1.39739i −0.715420 0.698695i \(-0.753765\pi\)
0.715420 0.698695i \(-0.246235\pi\)
\(240\) 9.40169 + 19.1634i 0.606877 + 1.23699i
\(241\) 3.38489 + 1.95427i 0.218040 + 0.125885i 0.605042 0.796193i \(-0.293156\pi\)
−0.387002 + 0.922079i \(0.626489\pi\)
\(242\) 0.810399 + 13.3448i 0.0520944 + 0.857834i
\(243\) −7.51916 + 13.6551i −0.482354 + 0.875976i
\(244\) 4.95663 11.6490i 0.317316 0.745753i
\(245\) 17.1911 + 13.0225i 1.09830 + 0.831976i
\(246\) −22.4089 5.70890i −1.42874 0.363986i
\(247\) −3.67835 6.37109i −0.234048 0.405383i
\(248\) −1.46610 + 4.12309i −0.0930972 + 0.261817i
\(249\) 1.91885 + 8.85097i 0.121602 + 0.560908i
\(250\) 0.988000 1.97947i 0.0624866 0.125193i
\(251\) 15.6528i 0.987995i 0.869463 + 0.493997i \(0.164465\pi\)
−0.869463 + 0.493997i \(0.835535\pi\)
\(252\) −14.0368 + 7.41407i −0.884235 + 0.467042i
\(253\) 3.68974i 0.231972i
\(254\) −7.44970 3.71832i −0.467436 0.233308i
\(255\) −1.34738 6.21501i −0.0843764 0.389199i
\(256\) −13.5393 8.52568i −0.846207 0.532855i
\(257\) 6.53148 + 11.3128i 0.407422 + 0.705676i 0.994600 0.103782i \(-0.0330944\pi\)
−0.587178 + 0.809458i \(0.699761\pi\)
\(258\) −5.01345 + 19.6791i −0.312124 + 1.22517i
\(259\) −0.0637623 + 1.02139i −0.00396200 + 0.0634658i
\(260\) −33.9607 14.4502i −2.10615 0.896163i
\(261\) 8.73539 3.97437i 0.540707 0.246008i
\(262\) 5.99710 0.364191i 0.370502 0.0224998i
\(263\) −26.2857 15.1761i −1.62085 0.935796i −0.986694 0.162586i \(-0.948016\pi\)
−0.634151 0.773209i \(-0.718650\pi\)
\(264\) −6.04223 0.778562i −0.371873 0.0479172i
\(265\) 32.3695i 1.98844i
\(266\) 3.97609 + 2.30458i 0.243790 + 0.141303i
\(267\) 16.1608 + 17.8028i 0.989027 + 1.08952i
\(268\) 2.99926 + 24.6032i 0.183209 + 1.50288i
\(269\) −0.684713 0.395319i −0.0417477 0.0241030i 0.478981 0.877825i \(-0.341006\pi\)
−0.520729 + 0.853722i \(0.674340\pi\)
\(270\) 17.2998 14.6048i 1.05283 0.888818i
\(271\) −4.95134 + 2.85866i −0.300773 + 0.173651i −0.642790 0.766043i \(-0.722223\pi\)
0.342017 + 0.939694i \(0.388890\pi\)
\(272\) 3.30537 + 3.43470i 0.200418 + 0.208259i
\(273\) 9.98826 25.5658i 0.604517 1.54731i
\(274\) −0.607840 0.919211i −0.0367209 0.0555315i
\(275\) −2.79319 4.83795i −0.168436 0.291739i
\(276\) 10.0956 + 1.92903i 0.607684 + 0.116114i
\(277\) 15.4143 + 8.89945i 0.926156 + 0.534716i 0.885594 0.464461i \(-0.153752\pi\)
0.0405619 + 0.999177i \(0.487085\pi\)
\(278\) −7.01910 3.50339i −0.420977 0.210119i
\(279\) 4.61980 + 0.447742i 0.276580 + 0.0268056i
\(280\) 22.8910 2.75121i 1.36800 0.164416i
\(281\) 27.9140i 1.66521i 0.553866 + 0.832606i \(0.313152\pi\)
−0.553866 + 0.832606i \(0.686848\pi\)
\(282\) −4.43298 15.7631i −0.263980 0.938679i
\(283\) −1.81190 + 3.13830i −0.107706 + 0.186552i −0.914841 0.403815i \(-0.867684\pi\)
0.807134 + 0.590368i \(0.201017\pi\)
\(284\) 9.92712 7.46714i 0.589066 0.443094i
\(285\) −6.24175 2.00015i −0.369729 0.118478i
\(286\) 8.78636 5.81009i 0.519548 0.343558i
\(287\) −13.8122 + 20.8110i −0.815309 + 1.22843i
\(288\) −5.28919 + 16.1253i −0.311668 + 0.950191i
\(289\) 7.78992 + 13.4925i 0.458230 + 0.793678i
\(290\) −13.9128 + 0.844895i −0.816989 + 0.0496140i
\(291\) −6.29320 29.0284i −0.368914 1.70167i
\(292\) −2.49547 20.4705i −0.146036 1.19795i
\(293\) 9.77037i 0.570791i −0.958410 0.285396i \(-0.907875\pi\)
0.958410 0.285396i \(-0.0921250\pi\)
\(294\) 2.55304 + 16.9553i 0.148896 + 0.988853i
\(295\) −11.4873 −0.668817
\(296\) 0.709436 + 0.832832i 0.0412351 + 0.0484074i
\(297\) 0.753496 + 6.41765i 0.0437223 + 0.372390i
\(298\) −0.355274 5.85026i −0.0205805 0.338897i
\(299\) −15.3906 + 8.88575i −0.890059 + 0.513876i
\(300\) −14.6976 + 5.11320i −0.848564 + 0.295211i
\(301\) 18.2758 + 12.1296i 1.05340 + 0.699141i
\(302\) 5.10747 3.37738i 0.293902 0.194347i
\(303\) 5.47407 + 1.75414i 0.314477 + 0.100773i
\(304\) 4.76912 1.18030i 0.273528 0.0676950i
\(305\) 16.8892 + 9.75098i 0.967072 + 0.558339i
\(306\) 2.68379 4.28489i 0.153422 0.244951i
\(307\) −9.56907 −0.546136 −0.273068 0.961995i \(-0.588038\pi\)
−0.273068 + 0.961995i \(0.588038\pi\)
\(308\) −2.94863 + 5.88269i −0.168014 + 0.335197i
\(309\) −15.9439 + 14.4734i −0.907018 + 0.823361i
\(310\) −6.03155 3.01048i −0.342569 0.170984i
\(311\) −8.85168 + 15.3316i −0.501933 + 0.869373i 0.498065 + 0.867140i \(0.334044\pi\)
−0.999998 + 0.00223345i \(0.999289\pi\)
\(312\) −11.3036 27.0782i −0.639938 1.53300i
\(313\) −9.93451 + 5.73569i −0.561532 + 0.324200i −0.753760 0.657150i \(-0.771762\pi\)
0.192228 + 0.981350i \(0.438429\pi\)
\(314\) 7.57363 5.00816i 0.427405 0.282627i
\(315\) −8.72062 22.8465i −0.491351 1.28725i
\(316\) 10.0455 23.6087i 0.565101 1.32809i
\(317\) −1.15640 2.00294i −0.0649499 0.112497i 0.831722 0.555193i \(-0.187355\pi\)
−0.896672 + 0.442696i \(0.854022\pi\)
\(318\) 17.9715 18.4208i 1.00779 1.03299i
\(319\) 1.98908 3.44519i 0.111367 0.192893i
\(320\) 15.5610 19.1144i 0.869884 1.06853i
\(321\) −11.1535 12.2867i −0.622528 0.685779i
\(322\) 5.56716 9.60501i 0.310245 0.535266i
\(323\) −1.46372 −0.0814434
\(324\) 17.9535 + 1.29355i 0.997414 + 0.0718639i
\(325\) 13.4533 23.3018i 0.746256 1.29255i
\(326\) 14.9665 0.908883i 0.828917 0.0503383i
\(327\) −0.972154 0.311523i −0.0537603 0.0172273i
\(328\) 4.83194 + 26.2612i 0.266799 + 1.45003i
\(329\) −17.6522 1.10198i −0.973197 0.0607540i
\(330\) 2.31688 9.09436i 0.127540 0.500628i
\(331\) −20.7165 + 11.9607i −1.13868 + 0.657418i −0.946104 0.323863i \(-0.895018\pi\)
−0.192578 + 0.981282i \(0.561685\pi\)
\(332\) 8.35729 6.28633i 0.458666 0.345007i
\(333\) 0.674434 0.944277i 0.0369588 0.0517461i
\(334\) 19.7039 + 9.83465i 1.07815 + 0.538128i
\(335\) −38.1812 −2.08606
\(336\) 14.5542 + 11.1434i 0.793998 + 0.607921i
\(337\) −25.6463 −1.39704 −0.698522 0.715589i \(-0.746159\pi\)
−0.698522 + 0.715589i \(0.746159\pi\)
\(338\) 28.9449 + 14.4471i 1.57440 + 0.785817i
\(339\) 2.57632 + 11.8836i 0.139926 + 0.645431i
\(340\) −5.86835 + 4.41415i −0.318256 + 0.239391i
\(341\) 1.66621 0.961986i 0.0902303 0.0520945i
\(342\) −2.44157 4.60365i −0.132025 0.248937i
\(343\) 18.1972 + 3.44385i 0.982559 + 0.185950i
\(344\) 23.0621 4.24332i 1.24343 0.228785i
\(345\) −4.83173 + 15.0781i −0.260132 + 0.811779i
\(346\) 2.63744 0.160166i 0.141789 0.00861057i
\(347\) 0.473950 0.820906i 0.0254430 0.0440686i −0.853024 0.521872i \(-0.825234\pi\)
0.878467 + 0.477804i \(0.158567\pi\)
\(348\) −8.38656 7.24356i −0.449567 0.388295i
\(349\) −14.1965 −0.759919 −0.379960 0.925003i \(-0.624062\pi\)
−0.379960 + 0.925003i \(0.624062\pi\)
\(350\) −0.0284570 + 16.8084i −0.00152109 + 0.898448i
\(351\) −24.9546 + 18.5982i −1.33198 + 0.992697i
\(352\) 2.10082 + 6.71362i 0.111974 + 0.357837i
\(353\) 7.75978 13.4403i 0.413011 0.715356i −0.582206 0.813041i \(-0.697810\pi\)
0.995217 + 0.0976847i \(0.0311437\pi\)
\(354\) −6.53718 6.37774i −0.347447 0.338973i
\(355\) 9.56788 + 16.5721i 0.507810 + 0.879553i
\(356\) 10.8702 25.5471i 0.576122 1.35400i
\(357\) −3.41153 4.26439i −0.180557 0.225695i
\(358\) 18.2400 12.0614i 0.964015 0.637467i
\(359\) 12.2735 7.08613i 0.647772 0.373991i −0.139830 0.990176i \(-0.544656\pi\)
0.787602 + 0.616184i \(0.211322\pi\)
\(360\) −23.6721 11.0939i −1.24763 0.584701i
\(361\) 8.74570 15.1480i 0.460300 0.797263i
\(362\) −21.0213 10.4922i −1.10485 0.551457i
\(363\) −11.0056 12.1238i −0.577643 0.636334i
\(364\) −31.6388 + 1.86760i −1.65832 + 0.0978886i
\(365\) 31.7678 1.66280
\(366\) 4.19754 + 14.9259i 0.219409 + 0.780190i
\(367\) −11.5602 6.67430i −0.603439 0.348396i 0.166954 0.985965i \(-0.446607\pi\)
−0.770393 + 0.637569i \(0.779940\pi\)
\(368\) −2.85124 11.5207i −0.148631 0.600559i
\(369\) 25.7790 11.7288i 1.34200 0.610576i
\(370\) −1.40578 + 0.929587i −0.0730828 + 0.0483269i
\(371\) −12.3717 24.8922i −0.642305 1.29234i
\(372\) −1.76101 5.06190i −0.0913040 0.262447i
\(373\) 4.56967 2.63830i 0.236609 0.136606i −0.377008 0.926210i \(-0.623047\pi\)
0.613617 + 0.789604i \(0.289714\pi\)
\(374\) −0.127040 2.09196i −0.00656908 0.108172i
\(375\) 0.574082 + 2.64804i 0.0296455 + 0.136744i
\(376\) −14.3935 + 12.2609i −0.742287 + 0.632307i
\(377\) 19.1607 0.986824
\(378\) 7.72161 17.8431i 0.397157 0.917751i
\(379\) 15.3619i 0.789086i −0.918877 0.394543i \(-0.870903\pi\)
0.918877 0.394543i \(-0.129097\pi\)
\(380\) 0.915843 + 7.51274i 0.0469817 + 0.385396i
\(381\) 9.96584 2.16054i 0.510565 0.110688i
\(382\) 0.637538 0.0387163i 0.0326193 0.00198090i
\(383\) 1.35424 + 2.34561i 0.0691983 + 0.119855i 0.898549 0.438874i \(-0.144623\pi\)
−0.829350 + 0.558729i \(0.811289\pi\)
\(384\) 19.4677 2.23817i 0.993456 0.114216i
\(385\) −8.44587 5.60552i −0.430442 0.285684i
\(386\) 2.02726 1.34055i 0.103185 0.0682323i
\(387\) −10.3000 22.6387i −0.523579 1.15079i
\(388\) −27.4092 + 20.6171i −1.39149 + 1.04668i
\(389\) −6.35306 + 11.0038i −0.322113 + 0.557916i −0.980924 0.194393i \(-0.937726\pi\)
0.658811 + 0.752308i \(0.271060\pi\)
\(390\) 43.5138 12.2372i 2.20341 0.619654i
\(391\) 3.53589i 0.178817i
\(392\) 16.5517 10.8647i 0.835988 0.548748i
\(393\) −5.44840 + 4.94588i −0.274835 + 0.249487i
\(394\) −20.7799 10.3717i −1.04688 0.522520i
\(395\) 34.2288 + 19.7620i 1.72224 + 0.994334i
\(396\) 6.36766 3.88907i 0.319987 0.195433i
\(397\) −11.9617 20.7184i −0.600343 1.03982i −0.992769 0.120041i \(-0.961697\pi\)
0.392426 0.919784i \(-0.371636\pi\)
\(398\) 0.756060 + 1.14336i 0.0378979 + 0.0573113i
\(399\) −5.56439 + 0.847492i −0.278568 + 0.0424277i
\(400\) 12.4599 + 12.9474i 0.622995 + 0.647371i
\(401\) 23.5968 13.6236i 1.17837 0.680331i 0.222731 0.974880i \(-0.428503\pi\)
0.955636 + 0.294549i \(0.0951694\pi\)
\(402\) −21.7281 21.1981i −1.08370 1.05727i
\(403\) 8.02524 + 4.63338i 0.399766 + 0.230805i
\(404\) −0.803202 6.58874i −0.0399608 0.327802i
\(405\) −5.32478 + 27.2125i −0.264590 + 1.35220i
\(406\) −10.3761 + 5.96723i −0.514956 + 0.296149i
\(407\) 0.481008i 0.0238427i
\(408\) −5.79028 0.746098i −0.286662 0.0369374i
\(409\) 6.82328 + 3.93942i 0.337390 + 0.194792i 0.659117 0.752040i \(-0.270930\pi\)
−0.321727 + 0.946832i \(0.604263\pi\)
\(410\) −41.0582 + 2.49337i −2.02772 + 0.123139i
\(411\) 1.28530 + 0.411869i 0.0633991 + 0.0203160i
\(412\) 22.8796 + 9.73520i 1.12720 + 0.479619i
\(413\) −8.83378 + 4.39047i −0.434682 + 0.216041i
\(414\) −11.1210 + 5.89807i −0.546566 + 0.289874i
\(415\) 8.05487 + 13.9514i 0.395398 + 0.684849i
\(416\) −22.9445 + 24.9309i −1.12495 + 1.22234i
\(417\) 9.38980 2.03566i 0.459820 0.0996868i
\(418\) −1.93271 0.964659i −0.0945319 0.0471830i
\(419\) 19.8589i 0.970173i 0.874466 + 0.485086i \(0.161212\pi\)
−0.874466 + 0.485086i \(0.838788\pi\)
\(420\) −19.7530 + 20.1784i −0.963848 + 0.984604i
\(421\) 16.6507i 0.811505i −0.913983 0.405753i \(-0.867009\pi\)
0.913983 0.405753i \(-0.132991\pi\)
\(422\) −6.31150 + 12.6452i −0.307239 + 0.615559i
\(423\) 16.3196 + 11.6560i 0.793484 + 0.566733i
\(424\) −27.9990 9.95593i −1.35975 0.483503i
\(425\) −2.67672 4.63622i −0.129840 0.224890i
\(426\) −3.75590 + 14.7429i −0.181974 + 0.714294i
\(427\) 16.7147 + 1.04345i 0.808880 + 0.0504962i
\(428\) −7.50217 + 17.6315i −0.362631 + 0.852252i
\(429\) −3.93688 + 12.2856i −0.190074 + 0.593156i
\(430\) 2.18964 + 36.0566i 0.105594 + 1.73880i
\(431\) 19.8541 + 11.4628i 0.956339 + 0.552142i 0.895044 0.445977i \(-0.147144\pi\)
0.0612944 + 0.998120i \(0.480477\pi\)
\(432\) −7.31193 19.4560i −0.351795 0.936077i
\(433\) 10.5825i 0.508564i 0.967130 + 0.254282i \(0.0818392\pi\)
−0.967130 + 0.254282i \(0.918161\pi\)
\(434\) −5.78889 0.00980070i −0.277876 0.000470449i
\(435\) 12.6399 11.4741i 0.606035 0.550139i
\(436\) 0.142643 + 1.17011i 0.00683135 + 0.0560382i
\(437\) 3.15607 + 1.82216i 0.150975 + 0.0871656i
\(438\) 18.0784 + 17.6374i 0.863818 + 0.842749i
\(439\) −6.69332 + 3.86439i −0.319455 + 0.184437i −0.651150 0.758949i \(-0.725713\pi\)
0.331695 + 0.943387i \(0.392380\pi\)
\(440\) −10.6578 + 1.96098i −0.508090 + 0.0934861i
\(441\) −15.4382 14.2360i −0.735150 0.677904i
\(442\) 8.41999 5.56783i 0.400498 0.264834i
\(443\) −2.28548 3.95856i −0.108586 0.188077i 0.806611 0.591082i \(-0.201299\pi\)
−0.915198 + 0.403005i \(0.867966\pi\)
\(444\) −1.31610 0.251476i −0.0624594 0.0119345i
\(445\) 37.0392 + 21.3846i 1.75582 + 1.01373i
\(446\) −8.68620 + 17.4029i −0.411303 + 0.824053i
\(447\) 4.82478 + 5.31500i 0.228204 + 0.251391i
\(448\) 4.66087 20.6465i 0.220205 0.975454i
\(449\) 4.33700i 0.204676i 0.994750 + 0.102338i \(0.0326323\pi\)
−0.994750 + 0.102338i \(0.967368\pi\)
\(450\) 10.1168 16.1523i 0.476910 0.761425i
\(451\) 5.86998 10.1671i 0.276406 0.478750i
\(452\) 11.2208 8.44026i 0.527783 0.396996i
\(453\) −2.28849 + 7.14159i −0.107523 + 0.335541i
\(454\) −3.72065 5.62658i −0.174619 0.264068i
\(455\) 3.04200 48.7287i 0.142611 2.28444i
\(456\) −3.64987 + 4.78381i −0.170921 + 0.224023i
\(457\) −9.88462 17.1207i −0.462383 0.800871i 0.536696 0.843776i \(-0.319672\pi\)
−0.999079 + 0.0429048i \(0.986339\pi\)
\(458\) −0.127421 2.09823i −0.00595398 0.0980437i
\(459\) 0.722078 + 6.15005i 0.0337037 + 0.287060i
\(460\) 18.1485 2.21239i 0.846176 0.103153i
\(461\) 25.3326i 1.17986i −0.807455 0.589929i \(-0.799156\pi\)
0.807455 0.589929i \(-0.200844\pi\)
\(462\) −1.69419 7.87911i −0.0788209 0.366569i
\(463\) 20.9574 0.973975 0.486988 0.873409i \(-0.338096\pi\)
0.486988 + 0.873409i \(0.338096\pi\)
\(464\) −3.54837 + 12.2942i −0.164729 + 0.570744i
\(465\) 8.06870 1.74925i 0.374177 0.0811197i
\(466\) −3.26305 + 0.198158i −0.151158 + 0.00917950i
\(467\) 26.9170 15.5406i 1.24557 0.719131i 0.275348 0.961345i \(-0.411207\pi\)
0.970223 + 0.242214i \(0.0778735\pi\)
\(468\) 31.5568 + 17.1949i 1.45872 + 0.794834i
\(469\) −29.3615 + 14.5929i −1.35579 + 0.673839i
\(470\) −16.0657 24.2954i −0.741054 1.12066i
\(471\) −3.39350 + 10.5899i −0.156364 + 0.487958i
\(472\) −3.53317 + 9.93632i −0.162627 + 0.457356i
\(473\) −8.92857 5.15491i −0.410536 0.237023i
\(474\) 8.50703 + 30.2499i 0.390741 + 1.38942i
\(475\) −5.51761 −0.253165
\(476\) −2.82568 + 5.63739i −0.129515 + 0.258390i
\(477\) −3.04051 + 31.3720i −0.139216 + 1.43643i
\(478\) 13.6438 27.3356i 0.624054 1.25030i
\(479\) 17.0894 29.5997i 0.780835 1.35245i −0.150620 0.988592i \(-0.548127\pi\)
0.931456 0.363855i \(-0.118540\pi\)
\(480\) −0.206500 + 30.1863i −0.00942537 + 1.37781i
\(481\) 2.00637 1.15838i 0.0914827 0.0528176i
\(482\) 3.04884 + 4.61063i 0.138871 + 0.210008i
\(483\) 2.04728 + 13.4418i 0.0931543 + 0.611624i
\(484\) −7.40267 + 17.3977i −0.336485 + 0.790804i
\(485\) −26.4174 45.7562i −1.19955 2.07768i
\(486\) −18.1385 + 12.5297i −0.822780 + 0.568360i
\(487\) −12.3371 + 21.3684i −0.559046 + 0.968296i 0.438531 + 0.898716i \(0.355499\pi\)
−0.997576 + 0.0695795i \(0.977834\pi\)
\(488\) 13.6290 11.6097i 0.616958 0.525547i
\(489\) −13.5971 + 12.3430i −0.614884 + 0.558171i
\(490\) 13.5283 + 27.3354i 0.611146 + 1.23489i
\(491\) −43.3064 −1.95439 −0.977196 0.212339i \(-0.931892\pi\)
−0.977196 + 0.212339i \(0.931892\pi\)
\(492\) −24.7496 21.3765i −1.11580 0.963727i
\(493\) 1.90614 3.30153i 0.0858482 0.148693i
\(494\) −0.630647 10.3848i −0.0283742 0.467235i
\(495\) 4.75998 + 10.4621i 0.213945 + 0.470237i
\(496\) −4.45914 + 4.29124i −0.200221 + 0.192682i
\(497\) 13.6916 + 9.08710i 0.614152 + 0.407612i
\(498\) −3.16196 + 12.4115i −0.141691 + 0.556173i
\(499\) 32.3258 18.6633i 1.44710 0.835485i 0.448795 0.893635i \(-0.351853\pi\)
0.998308 + 0.0581497i \(0.0185201\pi\)
\(500\) 2.50034 1.88075i 0.111819 0.0841096i
\(501\) −26.3589 + 5.71447i −1.17763 + 0.255304i
\(502\) −9.88578 + 19.8063i −0.441224 + 0.883999i
\(503\) −34.2432 −1.52683 −0.763414 0.645910i \(-0.776478\pi\)
−0.763414 + 0.645910i \(0.776478\pi\)
\(504\) −22.4440 + 0.516245i −0.999736 + 0.0229954i
\(505\) 10.2249 0.455003
\(506\) −2.33032 + 4.66883i −0.103595 + 0.207555i
\(507\) −38.7211 + 8.39454i −1.71966 + 0.372814i
\(508\) −7.07815 9.40998i −0.314042 0.417500i
\(509\) −24.1054 + 13.9173i −1.06845 + 0.616871i −0.927758 0.373182i \(-0.878267\pi\)
−0.140694 + 0.990053i \(0.544933\pi\)
\(510\) 2.22028 8.71515i 0.0983155 0.385913i
\(511\) 24.4295 12.1417i 1.08070 0.537118i
\(512\) −11.7475 19.3390i −0.519171 0.854671i
\(513\) 5.86153 + 2.52481i 0.258793 + 0.111473i
\(514\) 1.11981 + 18.4398i 0.0493928 + 0.813346i
\(515\) −19.1517 + 33.1716i −0.843923 + 1.46172i
\(516\) −18.7725 + 21.7347i −0.826411 + 0.956816i
\(517\) 8.31307 0.365608
\(518\) −0.725756 + 1.25214i −0.0318879 + 0.0550161i
\(519\) −2.39612 + 2.17512i −0.105178 + 0.0954774i
\(520\) −33.8460 39.7331i −1.48425 1.74241i
\(521\) 8.13261 14.0861i 0.356296 0.617123i −0.631043 0.775748i \(-0.717373\pi\)
0.987339 + 0.158625i \(0.0507061\pi\)
\(522\) 13.5635 + 0.487992i 0.593656 + 0.0213588i
\(523\) −6.98922 12.1057i −0.305617 0.529345i 0.671781 0.740750i \(-0.265530\pi\)
−0.977399 + 0.211405i \(0.932196\pi\)
\(524\) 7.81847 + 3.32674i 0.341551 + 0.145329i
\(525\) −12.8601 16.0750i −0.561259 0.701570i
\(526\) −23.6760 35.8043i −1.03232 1.56114i
\(527\) 1.59673 0.921874i 0.0695548 0.0401575i
\(528\) −7.15385 4.80123i −0.311331 0.208947i
\(529\) −7.09824 + 12.2945i −0.308619 + 0.534544i
\(530\) 20.4435 40.9589i 0.888009 1.77914i
\(531\) 11.1333 + 1.07902i 0.483145 + 0.0468255i
\(532\) 3.57567 + 5.42729i 0.155025 + 0.235303i
\(533\) 56.5451 2.44924
\(534\) 9.20551 + 32.7336i 0.398361 + 1.41652i
\(535\) −25.5628 14.7587i −1.10518 0.638074i
\(536\) −11.7435 + 33.0260i −0.507240 + 1.42651i
\(537\) −8.17276 + 25.5043i −0.352681 + 1.10059i
\(538\) −0.616734 0.932661i −0.0265893 0.0402099i
\(539\) −8.63734 1.08263i −0.372037 0.0466322i
\(540\) 31.1142 7.55424i 1.33894 0.325083i
\(541\) 18.9287 10.9285i 0.813810 0.469853i −0.0344673 0.999406i \(-0.510973\pi\)
0.848277 + 0.529552i \(0.177640\pi\)
\(542\) −8.07064 + 0.490112i −0.346664 + 0.0210521i
\(543\) 28.1212 6.09653i 1.20680 0.261627i
\(544\) 2.01322 + 6.43368i 0.0863163 + 0.275842i
\(545\) −1.81587 −0.0777834
\(546\) 28.7852 26.0415i 1.23189 1.11447i
\(547\) 9.11111i 0.389563i −0.980847 0.194782i \(-0.937600\pi\)
0.980847 0.194782i \(-0.0623998\pi\)
\(548\) −0.188590 1.54702i −0.00805616 0.0660854i
\(549\) −15.4528 11.0369i −0.659510 0.471044i
\(550\) −0.478888 7.88581i −0.0204199 0.336252i
\(551\) −1.96459 3.40277i −0.0836944 0.144963i
\(552\) 11.5562 + 8.81696i 0.491865 + 0.375275i
\(553\) 33.8751 + 2.11473i 1.44052 + 0.0899275i
\(554\) 13.8840 + 20.9961i 0.589873 + 0.892040i
\(555\) 0.629882 1.96564i 0.0267370 0.0834369i
\(556\) −6.66902 8.86606i −0.282830 0.376005i
\(557\) 2.14436 3.71415i 0.0908596 0.157373i −0.817013 0.576619i \(-0.804372\pi\)
0.907873 + 0.419245i \(0.137705\pi\)
\(558\) 5.56290 + 3.48426i 0.235497 + 0.147501i
\(559\) 49.6569i 2.10026i
\(560\) 30.7028 + 10.9759i 1.29743 + 0.463818i
\(561\) 1.72526 + 1.90055i 0.0728406 + 0.0802414i
\(562\) −17.6296 + 35.3212i −0.743659 + 1.48993i
\(563\) −27.2512 15.7335i −1.14850 0.663087i −0.199979 0.979800i \(-0.564087\pi\)
−0.948521 + 0.316713i \(0.897421\pi\)
\(564\) 4.34616 22.7456i 0.183006 0.957764i
\(565\) 10.8148 + 18.7317i 0.454981 + 0.788049i
\(566\) −4.27474 + 2.82673i −0.179681 + 0.118816i
\(567\) 6.30589 + 22.9616i 0.264822 + 0.964297i
\(568\) 17.2773 3.17895i 0.724941 0.133386i
\(569\) −8.62592 + 4.98018i −0.361617 + 0.208780i −0.669790 0.742551i \(-0.733616\pi\)
0.308173 + 0.951330i \(0.400283\pi\)
\(570\) −6.63481 6.47298i −0.277901 0.271123i
\(571\) 29.5465 + 17.0587i 1.23648 + 0.713883i 0.968373 0.249506i \(-0.0802681\pi\)
0.268108 + 0.963389i \(0.413601\pi\)
\(572\) 14.7873 1.80265i 0.618289 0.0753727i
\(573\) −0.579206 + 0.525785i −0.0241967 + 0.0219650i
\(574\) −30.6209 + 17.6099i −1.27809 + 0.735024i
\(575\) 13.3288i 0.555851i
\(576\) −16.8769 + 17.0637i −0.703204 + 0.710988i
\(577\) 0.843668 + 0.487092i 0.0351224 + 0.0202779i 0.517458 0.855708i \(-0.326878\pi\)
−0.482336 + 0.875986i \(0.660212\pi\)
\(578\) 1.33557 + 21.9927i 0.0555523 + 0.914775i
\(579\) −0.908350 + 2.83464i −0.0377497 + 0.117804i
\(580\) −18.1383 7.71779i −0.753150 0.320464i
\(581\) 11.5265 + 7.65011i 0.478199 + 0.317380i
\(582\) 10.3702 40.7058i 0.429860 1.68731i
\(583\) 6.53263 + 11.3149i 0.270554 + 0.468613i
\(584\) 9.77087 27.4786i 0.404322 1.13707i
\(585\) −32.1762 + 45.0499i −1.33032 + 1.86259i
\(586\) 6.17064 12.3630i 0.254907 0.510710i
\(587\) 25.9212i 1.06988i 0.844890 + 0.534940i \(0.179666\pi\)
−0.844890 + 0.534940i \(0.820334\pi\)
\(588\) −7.47791 + 23.0669i −0.308384 + 0.951262i
\(589\) 1.90029i 0.0782999i
\(590\) −14.5355 7.25501i −0.598418 0.298684i
\(591\) 27.7983 6.02654i 1.14347 0.247899i
\(592\) 0.371699 + 1.50188i 0.0152767 + 0.0617270i
\(593\) −22.1118 38.2987i −0.908022 1.57274i −0.816808 0.576909i \(-0.804259\pi\)
−0.0912135 0.995831i \(-0.529075\pi\)
\(594\) −3.09974 + 8.59649i −0.127184 + 0.352718i
\(595\) −8.09370 5.37178i −0.331809 0.220222i
\(596\) 3.24529 7.62704i 0.132932 0.312416i
\(597\) −1.59871 0.512302i −0.0654310 0.0209671i
\(598\) −25.0865 + 1.52345i −1.02586 + 0.0622984i
\(599\) 8.58632 + 4.95731i 0.350827 + 0.202550i 0.665050 0.746799i \(-0.268410\pi\)
−0.314222 + 0.949349i \(0.601744\pi\)
\(600\) −21.8270 2.81248i −0.891082 0.114819i
\(601\) 11.8235i 0.482292i −0.970489 0.241146i \(-0.922477\pi\)
0.970489 0.241146i \(-0.0775233\pi\)
\(602\) 15.4647 + 26.8907i 0.630295 + 1.09598i
\(603\) 37.0046 + 3.58642i 1.50695 + 0.146050i
\(604\) 8.59581 1.04787i 0.349759 0.0426374i
\(605\) −25.2238 14.5630i −1.02549 0.592069i
\(606\) 5.81878 + 5.67685i 0.236372 + 0.230606i
\(607\) 5.56281 3.21169i 0.225788 0.130359i −0.382840 0.923815i \(-0.625054\pi\)
0.608627 + 0.793456i \(0.291721\pi\)
\(608\) 6.78007 + 1.51852i 0.274968 + 0.0615841i
\(609\) 5.33469 13.6546i 0.216173 0.553311i
\(610\) 15.2124 + 23.0051i 0.615933 + 0.931449i
\(611\) 20.0198 + 34.6753i 0.809915 + 1.40281i
\(612\) 6.10215 3.72691i 0.246665 0.150651i
\(613\) −17.5740 10.1463i −0.709805 0.409806i 0.101184 0.994868i \(-0.467737\pi\)
−0.810989 + 0.585061i \(0.801070\pi\)
\(614\) −12.1083 6.04351i −0.488650 0.243896i
\(615\) 37.3016 33.8612i 1.50414 1.36541i
\(616\) −7.44638 + 5.58143i −0.300023 + 0.224882i
\(617\) 26.7202i 1.07571i 0.843036 + 0.537856i \(0.180766\pi\)
−0.843036 + 0.537856i \(0.819234\pi\)
\(618\) −29.3156 + 8.24429i −1.17925 + 0.331634i
\(619\) 7.12358 12.3384i 0.286321 0.495922i −0.686608 0.727028i \(-0.740901\pi\)
0.972929 + 0.231106i \(0.0742343\pi\)
\(620\) −5.73073 7.61865i −0.230151 0.305972i
\(621\) 6.09915 14.1596i 0.244750 0.568207i
\(622\) −20.8834 + 13.8094i −0.837350 + 0.553708i
\(623\) 36.6564 + 2.28836i 1.46861 + 0.0916813i
\(624\) 2.79867 41.4025i 0.112037 1.65743i
\(625\) 13.6405 + 23.6260i 0.545619 + 0.945040i
\(626\) −16.1932 + 0.983375i −0.647209 + 0.0393036i
\(627\) 2.58548 0.560520i 0.103254 0.0223850i
\(628\) 12.7463 1.55384i 0.508634 0.0620051i
\(629\) 0.460951i 0.0183793i
\(630\) 3.39441 34.4166i 0.135237 1.37119i
\(631\) −13.9775 −0.556436 −0.278218 0.960518i \(-0.589744\pi\)
−0.278218 + 0.960518i \(0.589744\pi\)
\(632\) 27.6216 23.5290i 1.09873 0.935934i
\(633\) −3.66733 16.9161i −0.145763 0.672355i
\(634\) −0.198263 3.26478i −0.00787403 0.129661i
\(635\) 15.7088 9.06945i 0.623383 0.359910i
\(636\) 34.3742 11.9586i 1.36303 0.474190i
\(637\) −16.2849 38.6352i −0.645231 1.53078i
\(638\) 4.69276 3.10315i 0.185788 0.122855i
\(639\) −7.71641 16.9601i −0.305256 0.670932i
\(640\) 31.7622 14.3587i 1.25551 0.567578i
\(641\) −6.31225 3.64438i −0.249319 0.143944i 0.370133 0.928979i \(-0.379312\pi\)
−0.619452 + 0.785034i \(0.712645\pi\)
\(642\) −6.35324 22.5913i −0.250742 0.891607i
\(643\) −25.1189 −0.990594 −0.495297 0.868724i \(-0.664941\pi\)
−0.495297 + 0.868724i \(0.664941\pi\)
\(644\) 13.1106 8.63771i 0.516631 0.340373i
\(645\) −29.7363 32.7576i −1.17086 1.28983i
\(646\) −1.85212 0.924435i −0.0728707 0.0363714i
\(647\) −20.2246 + 35.0301i −0.795112 + 1.37717i 0.127657 + 0.991818i \(0.459254\pi\)
−0.922768 + 0.385355i \(0.874079\pi\)
\(648\) 21.9005 + 12.9756i 0.860334 + 0.509730i
\(649\) 4.01543 2.31831i 0.157619 0.0910016i
\(650\) 31.7399 20.9884i 1.24494 0.823233i
\(651\) 5.53629 4.42905i 0.216984 0.173588i
\(652\) 19.5119 + 8.30228i 0.764146 + 0.325142i
\(653\) 22.0316 + 38.1599i 0.862164 + 1.49331i 0.869836 + 0.493341i \(0.164225\pi\)
−0.00767187 + 0.999971i \(0.502442\pi\)
\(654\) −1.03337 1.00817i −0.0404081 0.0394225i
\(655\) −6.54455 + 11.3355i −0.255717 + 0.442915i
\(656\) −10.4716 + 36.2814i −0.408847 + 1.41655i
\(657\) −30.7889 2.98400i −1.20119 0.116417i
\(658\) −21.6403 12.5429i −0.843627 0.488975i
\(659\) 5.89051 0.229462 0.114731 0.993397i \(-0.463399\pi\)
0.114731 + 0.993397i \(0.463399\pi\)
\(660\) 8.67538 10.0443i 0.337689 0.390975i
\(661\) −21.0993 + 36.5450i −0.820667 + 1.42144i 0.0845192 + 0.996422i \(0.473065\pi\)
−0.905186 + 0.425015i \(0.860269\pi\)
\(662\) −33.7677 + 2.05064i −1.31242 + 0.0797004i
\(663\) −3.77273 + 11.7734i −0.146521 + 0.457239i
\(664\) 14.5452 2.67624i 0.564462 0.103858i
\(665\) −8.96570 + 4.45604i −0.347675 + 0.172798i
\(666\) 1.44977 0.768895i 0.0561776 0.0297941i
\(667\) −8.22004 + 4.74584i −0.318281 + 0.183760i
\(668\) 18.7212 + 24.8887i 0.724344 + 0.962971i
\(669\) −5.04716 23.2808i −0.195134 0.900087i
\(670\) −48.3128 24.1140i −1.86648 0.931605i
\(671\) −7.87156 −0.303878
\(672\) 11.3785 + 23.2923i 0.438934 + 0.898519i
\(673\) −46.7729 −1.80296 −0.901481 0.432818i \(-0.857519\pi\)
−0.901481 + 0.432818i \(0.857519\pi\)
\(674\) −32.4517 16.1974i −1.24999 0.623899i
\(675\) 2.72193 + 23.1832i 0.104767 + 0.892320i
\(676\) 27.5013 + 36.5613i 1.05774 + 1.40621i
\(677\) 35.7518 20.6413i 1.37405 0.793310i 0.382618 0.923907i \(-0.375023\pi\)
0.991436 + 0.130596i \(0.0416892\pi\)
\(678\) −4.24537 + 16.6641i −0.163042 + 0.639983i
\(679\) −37.8032 25.0899i −1.45075 0.962863i
\(680\) −10.2134 + 1.87921i −0.391665 + 0.0720646i
\(681\) 7.86743 + 2.52109i 0.301481 + 0.0966083i
\(682\) 2.71591 0.164931i 0.103997 0.00631554i
\(683\) 17.1346 29.6781i 0.655638 1.13560i −0.326095 0.945337i \(-0.605733\pi\)
0.981733 0.190262i \(-0.0609338\pi\)
\(684\) −0.181938 7.36726i −0.00695657 0.281694i
\(685\) 2.40079 0.0917293
\(686\) 20.8510 + 15.8505i 0.796093 + 0.605174i
\(687\) 1.73043 + 1.90625i 0.0660201 + 0.0727280i
\(688\) 31.8617 + 9.19598i 1.21472 + 0.350593i
\(689\) −31.4642 + 54.4976i −1.19869 + 2.07619i
\(690\) −15.6367 + 16.0276i −0.595279 + 0.610161i
\(691\) 3.57575 + 6.19338i 0.136028 + 0.235607i 0.925990 0.377549i \(-0.123233\pi\)
−0.789962 + 0.613156i \(0.789900\pi\)
\(692\) 3.43845 + 1.46305i 0.130710 + 0.0556169i
\(693\) 7.65908 + 6.22611i 0.290944 + 0.236511i
\(694\) 1.11817 0.739406i 0.0424453 0.0280675i
\(695\) 14.8008 8.54522i 0.561425 0.324139i
\(696\) −6.03719 14.4623i −0.228839 0.548194i
\(697\) 5.62522 9.74316i 0.213070 0.369048i
\(698\) −17.9636 8.96602i −0.679931 0.339369i
\(699\) 2.96450 2.69108i 0.112128 0.101786i
\(700\) −10.6517 + 21.2506i −0.402595 + 0.803199i
\(701\) −12.4116 −0.468778 −0.234389 0.972143i \(-0.575309\pi\)
−0.234389 + 0.972143i \(0.575309\pi\)
\(702\) −43.3224 + 7.77278i −1.63510 + 0.293365i
\(703\) −0.411437 0.237543i −0.0155176 0.00895911i
\(704\) −1.58182 + 9.82193i −0.0596170 + 0.370178i
\(705\) 33.9714 + 10.8860i 1.27944 + 0.409991i
\(706\) 18.3073 12.1060i 0.689006 0.455614i
\(707\) 7.86299 3.90798i 0.295718 0.146975i
\(708\) −4.24389 12.1988i −0.159495 0.458458i
\(709\) 30.5908 17.6616i 1.14886 0.663295i 0.200251 0.979745i \(-0.435824\pi\)
0.948609 + 0.316450i \(0.102491\pi\)
\(710\) 1.64040 + 27.0123i 0.0615631 + 1.01375i
\(711\) −31.3177 22.3682i −1.17451 0.838872i
\(712\) 29.8894 25.4609i 1.12015 0.954187i
\(713\) −4.59050 −0.171916
\(714\) −1.62355 7.55057i −0.0607597 0.282573i
\(715\) 22.9481i 0.858211i
\(716\) 30.6977 3.74221i 1.14723 0.139853i
\(717\) 7.92780 + 36.5682i 0.296069 + 1.36566i
\(718\) 20.0057 1.21491i 0.746607 0.0453399i
\(719\) −12.1803 21.0969i −0.454250 0.786783i 0.544395 0.838829i \(-0.316759\pi\)
−0.998645 + 0.0520455i \(0.983426\pi\)
\(720\) −22.9470 28.9882i −0.855184 1.08033i
\(721\) −2.04942 + 32.8289i −0.0763243 + 1.22261i
\(722\) 20.6334 13.6441i 0.767895 0.507781i
\(723\) −6.44687 2.06587i −0.239762 0.0768307i
\(724\) −19.9728 26.5527i −0.742284 0.986822i
\(725\) 7.18536 12.4454i 0.266858 0.462211i
\(726\) −6.26898 22.2917i −0.232664 0.827321i
\(727\) 5.15142i 0.191055i 0.995427 + 0.0955277i \(0.0304539\pi\)
−0.995427 + 0.0955277i \(0.969546\pi\)
\(728\) −41.2138 17.6188i −1.52748 0.652997i
\(729\) 7.71680 25.8738i 0.285807 0.958287i
\(730\) 40.1975 + 20.0635i 1.48778 + 0.742583i
\(731\) −8.55627 4.93997i −0.316465 0.182711i
\(732\) −4.11533 + 21.5376i −0.152107 + 0.796053i
\(733\) −3.74171 6.48083i −0.138203 0.239375i 0.788613 0.614889i \(-0.210799\pi\)
−0.926817 + 0.375514i \(0.877466\pi\)
\(734\) −10.4125 15.7464i −0.384333 0.581211i
\(735\) −33.8788 15.7348i −1.24964 0.580388i
\(736\) 3.66827 16.3785i 0.135214 0.603721i
\(737\) 13.3464 7.70552i 0.491619 0.283837i
\(738\) 40.0272 + 1.44011i 1.47342 + 0.0530114i
\(739\) −2.26360 1.30689i −0.0832679 0.0480747i 0.457788 0.889061i \(-0.348642\pi\)
−0.541056 + 0.840987i \(0.681975\pi\)
\(740\) −2.36590 + 0.288416i −0.0869722 + 0.0106024i
\(741\) 8.56448 + 9.43466i 0.314624 + 0.346591i
\(742\) 0.0665544 39.3110i 0.00244329 1.44315i
\(743\) 23.6093i 0.866140i 0.901360 + 0.433070i \(0.142570\pi\)
−0.901360 + 0.433070i \(0.857430\pi\)
\(744\) 0.968630 7.51730i 0.0355117 0.275597i
\(745\) 11.0580 + 6.38431i 0.405132 + 0.233903i
\(746\) 7.44852 0.452332i 0.272710 0.0165611i
\(747\) −6.49617 14.2781i −0.237683 0.522409i
\(748\) 1.16046 2.72730i 0.0424306 0.0997200i
\(749\) −25.2987 1.57933i −0.924394 0.0577074i
\(750\) −0.945998 + 3.71328i −0.0345430 + 0.135590i
\(751\) 0.504993 + 0.874673i 0.0184275 + 0.0319173i 0.875092 0.483956i \(-0.160801\pi\)
−0.856665 + 0.515874i \(0.827467\pi\)
\(752\) −25.9564 + 6.42392i −0.946534 + 0.234256i
\(753\) −5.74418 26.4959i −0.209330 0.965564i
\(754\) 24.2450 + 12.1012i 0.882952 + 0.440701i
\(755\) 13.3397i 0.485480i
\(756\) 21.0397 17.7012i 0.765207 0.643785i
\(757\) 11.1837i 0.406478i 0.979129 + 0.203239i \(0.0651469\pi\)
−0.979129 + 0.203239i \(0.934853\pi\)
\(758\) 9.70205 19.4382i 0.352394 0.706028i
\(759\) −1.35404 6.24572i −0.0491486 0.226705i
\(760\) −3.58594 + 10.0847i −0.130076 + 0.365811i
\(761\) 3.99009 + 6.91104i 0.144641 + 0.250525i 0.929239 0.369480i \(-0.120464\pi\)
−0.784598 + 0.620005i \(0.787131\pi\)
\(762\) 13.9749 + 3.56024i 0.506256 + 0.128974i
\(763\) −1.39641 + 0.694029i −0.0505534 + 0.0251255i
\(764\) 0.831163 + 0.353658i 0.0300704 + 0.0127949i
\(765\) 4.56150 + 10.0259i 0.164922 + 0.362486i
\(766\) 0.232182 + 3.82332i 0.00838907 + 0.138142i
\(767\) 19.3402 + 11.1661i 0.698333 + 0.403183i
\(768\) 26.0471 + 9.46307i 0.939893 + 0.341469i
\(769\) 11.8900i 0.428766i 0.976750 + 0.214383i \(0.0687740\pi\)
−0.976750 + 0.214383i \(0.931226\pi\)
\(770\) −7.14677 12.4271i −0.257552 0.447842i
\(771\) −15.2075 16.7527i −0.547686 0.603333i
\(772\) 3.41185 0.415923i 0.122795 0.0149694i
\(773\)