Properties

Label 168.2.ba.c.101.5
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 101.5
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26535 - 0.631567i) q^{2} +(0.528554 + 1.64943i) q^{3} +(1.20225 + 1.59831i) q^{4} +(2.66818 - 1.54047i) q^{5} +(0.372919 - 2.42094i) q^{6} +(-1.46307 + 2.20441i) q^{7} +(-0.511826 - 2.78173i) q^{8} +(-2.44126 + 1.74363i) q^{9} +O(q^{10})\) \(q+(-1.26535 - 0.631567i) q^{2} +(0.528554 + 1.64943i) q^{3} +(1.20225 + 1.59831i) q^{4} +(2.66818 - 1.54047i) q^{5} +(0.372919 - 2.42094i) q^{6} +(-1.46307 + 2.20441i) q^{7} +(-0.511826 - 2.78173i) q^{8} +(-2.44126 + 1.74363i) q^{9} +(-4.34911 + 0.264112i) q^{10} +(-0.621780 + 1.07696i) q^{11} +(-2.00086 + 2.82782i) 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} +(4.19028 - 0.664491i) q^{18} +(-0.614126 - 1.06370i) q^{19} +(5.66997 + 2.41256i) q^{20} +(-4.40934 - 1.24808i) q^{21} +(1.46694 - 0.970035i) q^{22} +(2.56956 - 1.48354i) q^{23} +(4.31775 - 2.31452i) 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} +(-2.73438 - 7.03397i) q^{30} +(1.33987 + 0.773574i) q^{31} +(3.83074 - 4.16238i) q^{32} +(-2.10501 - 0.456356i) q^{33} +(1.40578 - 0.929587i) q^{34} +(-0.507883 + 8.13559i) q^{35} +(-5.72186 - 1.80563i) q^{36} +(0.334978 - 0.193399i) q^{37} +(0.105291 + 1.73382i) q^{38} +(3.16581 + 9.87940i) q^{39} +(-5.65083 - 6.63371i) q^{40} -9.44060 q^{41} +(4.79114 + 4.36406i) q^{42} -8.29057i q^{43} +(-2.46884 + 0.300965i) q^{44} +(-3.82770 + 8.41302i) q^{45} +(-4.18836 + 0.254350i) q^{46} +(-3.34244 - 5.78928i) q^{47} +(-6.92527 + 0.201736i) q^{48} +(-2.71887 - 6.45041i) q^{49} +(-5.29919 + 3.50416i) q^{50} +(-2.01724 - 0.437327i) q^{51} +(7.20094 + 9.57321i) q^{52} +(5.25317 - 9.09875i) q^{53} +(3.31083 + 6.56037i) 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} +(-0.982467 + 10.6274i) q^{60} +(-3.16493 - 5.48181i) q^{61} +(-1.20685 - 1.82506i) q^{62} +(-0.271956 - 7.93259i) q^{63} +(-7.47607 + 2.84752i) q^{64} +(15.9813 - 9.22678i) q^{65} +(2.37537 + 1.90691i) 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} +(6.09981 + 5.89850i) q^{72} +(-8.92963 - 5.15552i) q^{73} +(-0.546010 + 0.0331580i) q^{74} +(7.60415 + 1.64854i) q^{75} +(0.961791 - 2.26039i) q^{76} +(-1.46435 - 2.94632i) q^{77} +(2.23362 - 14.5004i) q^{78} +(-6.41425 - 11.1098i) q^{79} +(2.96067 + 11.9629i) q^{80} +(2.91950 - 8.51331i) q^{81} +(11.9457 + 5.96237i) q^{82} +5.22882i q^{83} +(-3.30629 - 8.54801i) q^{84} +3.67159i q^{85} +(-5.23605 + 10.4905i) q^{86} +(-1.69085 - 5.27654i) q^{87} +(3.31404 + 1.17841i) q^{88} +(6.94090 + 12.0220i) q^{89} +(10.1568 - 8.22800i) q^{90} +(-8.76314 + 13.2035i) q^{91} +(5.46040 + 2.32339i) q^{92} +(-0.567765 + 2.61890i) q^{93} +(0.573057 + 9.43648i) q^{94} +(-3.27720 - 1.89209i) q^{95} +(8.89033 + 4.11850i) 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
\(3\) 0.528554 + 1.64943i 0.305161 + 0.952301i
\(4\) 1.20225 + 1.59831i 0.601123 + 0.799157i
\(5\) 2.66818 1.54047i 1.19325 0.688921i 0.234205 0.972187i \(-0.424751\pi\)
0.959041 + 0.283266i \(0.0914180\pi\)
\(6\) 0.372919 2.42094i 0.152244 0.988343i
\(7\) −1.46307 + 2.20441i −0.552987 + 0.833190i
\(8\) −0.511826 2.78173i −0.180958 0.983491i
\(9\) −2.44126 + 1.74363i −0.813753 + 0.581210i
\(10\) −4.34911 + 0.264112i −1.37531 + 0.0835195i
\(11\) −0.621780 + 1.07696i −0.187474 + 0.324714i −0.944407 0.328778i \(-0.893363\pi\)
0.756933 + 0.653492i \(0.226697\pi\)
\(12\) −2.00086 + 2.82782i −0.577598 + 0.816321i
\(13\) 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 −0.929192 0.369597i \(-0.879496\pi\)
0.784676 + 0.619906i \(0.212829\pi\)
\(18\) 4.19028 0.664491i 0.987659 0.156622i
\(19\) −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
\(21\) −4.40934 1.24808i −0.962197 0.272353i
\(22\) 1.46694 0.970035i 0.312753 0.206812i
\(23\) 2.56956 1.48354i 0.535791 0.309339i −0.207581 0.978218i \(-0.566559\pi\)
0.743371 + 0.668879i \(0.233226\pi\)
\(24\) 4.31775 2.31452i 0.881358 0.472449i
\(25\) 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 \(-0.595993\pi\)
−0.297020 + 0.954871i \(0.595993\pi\)
\(30\) −2.73438 7.03397i −0.499226 1.28422i
\(31\) 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
\(33\) −2.10501 0.456356i −0.366435 0.0794414i
\(34\) 1.40578 0.929587i 0.241088 0.159423i
\(35\) −0.507883 + 8.13559i −0.0858478 + 1.37517i
\(36\) −5.72186 1.80563i −0.953644 0.300938i
\(37\) 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
\(39\) 3.16581 + 9.87940i 0.506936 + 1.58197i
\(40\) −5.65083 6.63371i −0.893475 1.04888i
\(41\) −9.44060 −1.47437 −0.737187 0.675689i \(-0.763846\pi\)
−0.737187 + 0.675689i \(0.763846\pi\)
\(42\) 4.79114 + 4.36406i 0.739289 + 0.673389i
\(43\) 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
\(45\) −3.82770 + 8.41302i −0.570600 + 1.25414i
\(46\) −4.18836 + 0.254350i −0.617540 + 0.0375019i
\(47\) −3.34244 5.78928i −0.487546 0.844454i 0.512352 0.858776i \(-0.328774\pi\)
−0.999897 + 0.0143219i \(0.995441\pi\)
\(48\) −6.92527 + 0.201736i −0.999576 + 0.0291181i
\(49\) −2.71887 6.45041i −0.388410 0.921486i
\(50\) −5.29919 + 3.50416i −0.749419 + 0.495563i
\(51\) −2.01724 0.437327i −0.282470 0.0612380i
\(52\) 7.20094 + 9.57321i 0.998590 + 1.32757i
\(53\) 5.25317 9.09875i 0.721578 1.24981i −0.238789 0.971071i \(-0.576750\pi\)
0.960367 0.278738i \(-0.0899162\pi\)
\(54\) 3.31083 + 6.56037i 0.450546 + 0.892753i
\(55\) 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 0.274862 0.961484i \(-0.411368\pi\)
−0.695238 + 0.718779i \(0.744701\pi\)
\(60\) −0.982467 + 10.6274i −0.126836 + 1.37199i
\(61\) −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
\(63\) −0.271956 7.93259i −0.0342632 0.999413i
\(64\) −7.47607 + 2.84752i −0.934509 + 0.355940i
\(65\) 15.9813 9.22678i 1.98223 1.14444i
\(66\) 2.37537 + 1.90691i 0.292387 + 0.234724i
\(67\) 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 \(0.120147\pi\)
−0.929606 + 0.368555i \(0.879853\pi\)
\(72\) 6.09981 + 5.89850i 0.718870 + 0.695145i
\(73\) −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
\(75\) 7.60415 + 1.64854i 0.878052 + 0.190357i
\(76\) 0.961791 2.26039i 0.110325 0.259285i
\(77\) −1.46435 2.94632i −0.166878 0.335764i
\(78\) 2.23362 14.5004i 0.252908 1.64184i
\(79\) −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
\(81\) 2.91950 8.51331i 0.324389 0.945924i
\(82\) 11.9457 + 5.96237i 1.31918 + 0.658434i
\(83\) 5.22882i 0.573938i 0.957940 + 0.286969i \(0.0926476\pi\)
−0.957940 + 0.286969i \(0.907352\pi\)
\(84\) −3.30629 8.54801i −0.360746 0.932664i
\(85\) 3.67159i 0.398240i
\(86\) −5.23605 + 10.4905i −0.564618 + 1.13122i
\(87\) −1.69085 5.27654i −0.181278 0.565705i
\(88\) 3.31404 + 1.17841i 0.353278 + 0.125619i
\(89\) 6.94090 + 12.0220i 0.735734 + 1.27433i 0.954400 + 0.298529i \(0.0964960\pi\)
−0.218666 + 0.975800i \(0.570171\pi\)
\(90\) 10.1568 8.22800i 1.07062 0.867308i
\(91\) −8.76314 + 13.2035i −0.918627 + 1.38410i
\(92\) 5.46040 + 2.32339i 0.569286 + 0.242230i
\(93\) −0.567765 + 2.61890i −0.0588745 + 0.271567i
\(94\) 0.573057 + 9.43648i 0.0591063 + 0.973298i
\(95\) −3.27720 1.89209i −0.336233 0.194124i
\(96\) 8.89033 + 4.11850i 0.907365 + 0.420343i
\(97\) 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 0.636130 0.771582i \(-0.280534\pi\)
−0.350144 + 0.936696i \(0.613867\pi\)
\(102\) 2.27632 + 1.82739i 0.225389 + 0.180939i
\(103\) 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
\(105\) −13.6876 + 3.46238i −1.33577 + 0.337894i
\(106\) −12.3936 + 8.19542i −1.20377 + 0.796010i
\(107\) −4.79031 8.29706i −0.463097 0.802107i 0.536017 0.844207i \(-0.319928\pi\)
−0.999113 + 0.0421002i \(0.986595\pi\)
\(108\) −0.0460561 10.3922i −0.00443175 0.999990i
\(109\) 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 \(0.107120\pi\)
−0.943907 + 0.330212i \(0.892880\pi\)
\(114\) −2.80416 + 1.09009i −0.262634 + 0.102096i
\(115\) 4.57070 7.91669i 0.426220 0.738235i
\(116\) −3.84599 5.11301i −0.357091 0.474731i
\(117\) −14.6221 + 10.4436i −1.35181 + 0.965511i
\(118\) 2.90840 + 4.39825i 0.267740 + 0.404892i
\(119\) −1.40329 2.82346i −0.128639 0.258827i
\(120\) 7.95509 12.8269i 0.726197 1.17093i
\(121\) 4.72678 + 8.18702i 0.429707 + 0.744275i
\(122\) 0.542622 + 8.93530i 0.0491267 + 0.808964i
\(123\) −4.98987 15.5716i −0.449921 1.40405i
\(124\) 0.374439 + 3.07156i 0.0336256 + 0.275834i
\(125\) 1.56436i 0.139921i
\(126\) −4.66585 + 10.2093i −0.415667 + 0.909517i
\(127\) −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
\(129\) 13.6747 4.38201i 1.20399 0.385815i
\(130\) −26.0493 + 1.58192i −2.28467 + 0.138743i
\(131\) −3.67922 + 2.12420i −0.321455 + 0.185592i −0.652041 0.758184i \(-0.726087\pi\)
0.330586 + 0.943776i \(0.392754\pi\)
\(132\) −1.80134 3.91312i −0.156787 0.340593i
\(133\) 3.24333 + 0.202473i 0.281233 + 0.0175566i
\(134\) −9.66685 14.6188i −0.835089 1.26287i
\(135\) −15.8999 1.86680i −1.36844 0.160669i
\(136\) 3.17586 + 1.12928i 0.272328 + 0.0968347i
\(137\) 0.674838 + 0.389618i 0.0576553 + 0.0332873i 0.528551 0.848902i \(-0.322736\pi\)
−0.470895 + 0.882189i \(0.656069\pi\)
\(138\) −2.63331 6.77398i −0.224162 0.576640i
\(139\) −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
\(144\) −3.99313 11.3161i −0.332761 0.943011i
\(145\) −8.53552 + 4.92798i −0.708836 + 0.409247i
\(146\) 8.04309 + 12.1632i 0.665651 + 1.00664i
\(147\) 9.20244 7.89399i 0.759005 0.651085i
\(148\) 0.711838 + 0.302886i 0.0585128 + 0.0248970i
\(149\) 2.07219 + 3.58914i 0.169761 + 0.294034i 0.938336 0.345726i \(-0.112367\pi\)
−0.768575 + 0.639760i \(0.779034\pi\)
\(150\) −8.58079 6.88852i −0.700618 0.562446i
\(151\) 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
\(156\) −11.9843 + 16.9374i −0.959511 + 1.35608i
\(157\) 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
\(159\) 17.7844 + 3.85556i 1.41039 + 0.305766i
\(160\) 3.80906 17.0071i 0.301132 1.34453i
\(161\) −0.489111 + 7.83489i −0.0385473 + 0.617476i
\(162\) −9.07094 + 8.92850i −0.712680 + 0.701489i
\(163\) 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
\(165\) −6.31955 + 2.02508i −0.491977 + 0.157652i
\(166\) 3.30235 6.61631i 0.256312 0.513526i
\(167\) −15.5718 −1.20498 −0.602492 0.798125i \(-0.705825\pi\)
−0.602492 + 0.798125i \(0.705825\pi\)
\(168\) −1.21501 + 12.9044i −0.0937397 + 0.995597i
\(169\) 22.8750 1.75961
\(170\) 2.31886 4.64587i 0.177848 0.356322i
\(171\) 3.35394 + 1.52595i 0.256482 + 0.116693i
\(172\) 13.2509 9.96730i 1.01037 0.759999i
\(173\) −1.61807 + 0.934192i −0.123019 + 0.0710253i −0.560247 0.828326i \(-0.689294\pi\)
0.437228 + 0.899351i \(0.355960\pi\)
\(174\) −1.19297 + 7.74459i −0.0904388 + 0.587116i
\(175\) 5.28982 + 10.6433i 0.399873 + 0.804558i
\(176\) −3.44920 3.58415i −0.259993 0.270166i
\(177\) 1.36827 6.31134i 0.102845 0.474389i
\(178\) −1.19001 19.5957i −0.0891948 1.46876i
\(179\) −7.73124 + 13.3909i −0.577860 + 1.00088i 0.417864 + 0.908509i \(0.362779\pi\)
−0.995724 + 0.0923734i \(0.970555\pi\)
\(180\) −18.0485 + 3.99665i −1.34525 + 0.297893i
\(181\) −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
\(186\) 2.37244 2.95526i 0.173955 0.216690i
\(187\) −0.740981 1.28342i −0.0541859 0.0938527i
\(188\) 5.23465 12.3024i 0.381776 0.897246i
\(189\) 12.9405 4.64138i 0.941286 0.337611i
\(190\) 2.95183 + 4.46393i 0.214149 + 0.323848i
\(191\) −0.391130 + 0.225819i −0.0283012 + 0.0163397i −0.514084 0.857740i \(-0.671868\pi\)
0.485783 + 0.874080i \(0.338535\pi\)
\(192\) −8.64831 10.8262i −0.624138 0.781314i
\(193\) 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 \(-0.301088\pi\)
0.585017 + 0.811021i \(0.301088\pi\)
\(198\) −1.88981 + 4.92591i −0.134303 + 0.350069i
\(199\) 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
\(201\) −4.54780 + 20.9774i −0.320777 + 1.47963i
\(202\) −2.58878 3.91491i −0.182146 0.275452i
\(203\) 4.68036 7.05193i 0.328497 0.494948i
\(204\) −1.72623 3.74995i −0.120860 0.262549i
\(205\) −25.1892 + 14.5430i −1.75929 + 1.01573i
\(206\) −17.5496 + 1.06575i −1.22274 + 0.0742543i
\(207\) −3.68623 + 8.10207i −0.256211 + 0.563132i
\(208\) −6.64369 + 23.0187i −0.460657 + 1.59606i
\(209\) 1.52741 0.105653
\(210\) 19.5063 + 4.26347i 1.34607 + 0.294207i
\(211\) 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
\(213\) −10.2446 + 3.28285i −0.701950 + 0.224937i
\(214\) 0.821291 + 13.5241i 0.0561423 + 0.924491i
\(215\) −12.7714 22.1207i −0.871003 1.50862i
\(216\) −6.50510 + 13.1789i −0.442616 + 0.896711i
\(217\) −3.66559 + 1.82184i −0.248837 + 0.123674i
\(218\) −0.459749 0.695259i −0.0311381 0.0470889i
\(219\) 3.78390 17.4538i 0.255692 1.17942i
\(220\) −6.12369 + 4.60622i −0.412859 + 0.310551i
\(221\) −3.56891 + 6.18153i −0.240071 + 0.415815i
\(222\) −0.343288 0.883082i −0.0230400 0.0592686i
\(223\) 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 0.630780 0.775962i \(-0.282735\pi\)
−0.356613 + 0.934252i \(0.616068\pi\)
\(228\) 4.23672 + 0.391670i 0.280584 + 0.0259390i
\(229\) −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
\(231\) 4.08577 3.97263i 0.268824 0.261380i
\(232\) 1.63733 + 8.89877i 0.107496 + 0.584233i
\(233\) 2.00188 1.15579i 0.131148 0.0757182i −0.432991 0.901398i \(-0.642542\pi\)
0.564139 + 0.825680i \(0.309208\pi\)
\(234\) 25.0980 3.98002i 1.64071 0.260182i
\(235\) −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 \(0.246235\pi\)
−0.715420 + 0.698695i \(0.753765\pi\)
\(240\) −18.1671 + 11.2065i −1.17268 + 0.723374i
\(241\) 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
\(243\) 15.5853 + 0.315780i 0.999795 + 0.0202573i
\(244\) 4.95663 11.6490i 0.317316 0.745753i
\(245\) −17.1911 13.0225i −1.09830 0.831976i
\(246\) −3.52058 + 22.8551i −0.224464 + 1.45719i
\(247\) −3.67835 6.37109i −0.234048 0.405383i
\(248\) 1.46610 4.12309i 0.0930972 0.261817i
\(249\) −8.62459 + 2.76372i −0.546561 + 0.175143i
\(250\) 0.988000 1.97947i 0.0624866 0.125193i
\(251\) 15.6528i 0.987995i −0.869463 0.493997i \(-0.835535\pi\)
0.869463 0.493997i \(-0.164465\pi\)
\(252\) 12.3518 9.97160i 0.778091 0.628152i
\(253\) 3.68974i 0.231972i
\(254\) 7.44970 + 3.71832i 0.467436 + 0.233308i
\(255\) −6.05604 + 1.94064i −0.379244 + 0.121527i
\(256\) −13.5393 8.52568i −0.846207 0.532855i
\(257\) −6.53148 11.3128i −0.407422 0.705676i 0.587178 0.809458i \(-0.300239\pi\)
−0.994600 + 0.103782i \(0.966906\pi\)
\(258\) −20.0709 3.09171i −1.24956 0.192481i
\(259\) −0.0637623 + 1.02139i −0.00396200 + 0.0634658i
\(260\) 33.9607 + 14.4502i 2.10615 + 0.896163i
\(261\) 7.80960 5.57788i 0.483402 0.345262i
\(262\) 5.99710 0.364191i 0.370502 0.0224998i
\(263\) 26.2857 + 15.1761i 1.62085 + 0.935796i 0.986694 + 0.162586i \(0.0519836\pi\)
0.634151 + 0.773209i \(0.281350\pi\)
\(264\) −0.192062 + 6.08915i −0.0118206 + 0.374761i
\(265\) 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 0.520729 0.853722i \(-0.325660\pi\)
−0.478981 + 0.877825i \(0.658994\pi\)
\(270\) 18.9400 + 12.4040i 1.15265 + 0.754884i
\(271\) −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
\(273\) −26.4101 7.47545i −1.59841 0.452435i
\(274\) −0.607840 0.919211i −0.0367209 0.0555315i
\(275\) 2.79319 + 4.83795i 0.168436 + 0.291739i
\(276\) −0.946154 + 10.2346i −0.0569518 + 0.616051i
\(277\) 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 \(-0.686848\pi\)
0.553866 0.832606i \(-0.313152\pi\)
\(282\) −15.2619 + 5.93291i −0.908836 + 0.353300i
\(283\) −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
\(285\) 1.38870 6.40559i 0.0822595 0.379434i
\(286\) 8.78636 5.81009i 0.519548 0.343558i
\(287\) 13.8122 20.8110i 0.815309 1.22843i
\(288\) −2.09417 + 16.8409i −0.123400 + 0.992357i
\(289\) 7.78992 + 13.4925i 0.458230 + 0.793678i
\(290\) 13.9128 0.844895i 0.816989 0.0496140i
\(291\) −28.2859 + 9.06411i −1.65815 + 0.531347i
\(292\) −2.49547 20.4705i −0.146036 1.19795i
\(293\) 9.77037i 0.570791i 0.958410 + 0.285396i \(0.0921250\pi\)
−0.958410 + 0.285396i \(0.907875\pi\)
\(294\) −16.6299 + 4.17674i −0.969878 + 0.243592i
\(295\) −11.4873 −0.668817
\(296\) −0.709436 0.832832i −0.0412351 0.0484074i
\(297\) 5.93460 2.55628i 0.344360 0.148330i
\(298\) −0.355274 5.85026i −0.0205805 0.338897i
\(299\) 15.3906 8.88575i 0.890059 0.513876i
\(300\) 6.50717 + 14.1358i 0.375692 + 0.816129i
\(301\) 18.2758 + 12.1296i 1.05340 + 0.699141i
\(302\) −5.10747 + 3.37738i −0.293902 + 0.194347i
\(303\) −1.21790 + 5.61775i −0.0699666 + 0.322731i
\(304\) 4.76912 1.18030i 0.273528 0.0676950i
\(305\) −16.8892 9.75098i −0.967072 0.558339i
\(306\) −1.81101 + 4.72052i −0.103528 + 0.269854i
\(307\) −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 \(-0.665956\pi\)
0.999998 0.00223345i \(-0.000710930\pi\)
\(312\) 25.8615 13.8630i 1.46412 0.784836i
\(313\) −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
\(315\) −12.9456 20.7466i −0.729401 1.16894i
\(316\) 10.0455 23.6087i 0.565101 1.32809i
\(317\) 1.15640 + 2.00294i 0.0649499 + 0.112497i 0.896672 0.442696i \(-0.145978\pi\)
−0.831722 + 0.555193i \(0.812645\pi\)
\(318\) −20.0685 16.1107i −1.12539 0.903442i
\(319\) 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
\(324\) 17.1169 5.56881i 0.950939 0.309378i
\(325\) 13.4533 23.3018i 0.746256 1.29255i
\(326\) −14.9665 + 0.908883i −0.828917 + 0.0503383i
\(327\) −0.216290 + 0.997672i −0.0119609 + 0.0551714i
\(328\) 4.83194 + 26.2612i 0.266799 + 1.45003i
\(329\) 17.6522 + 1.10198i 0.973197 + 0.0607540i
\(330\) 9.27545 + 1.42878i 0.510597 + 0.0786519i
\(331\) −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
\(333\) −0.480551 + 1.05622i −0.0263340 + 0.0578803i
\(334\) 19.7039 + 9.83465i 1.07815 + 0.538128i
\(335\) 38.1812 2.08606
\(336\) 9.68741 15.5613i 0.528492 0.848938i
\(337\) −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
\(339\) −11.5797 + 3.71067i −0.628923 + 0.201536i
\(340\) −5.86835 + 4.41415i −0.318256 + 0.239391i
\(341\) −1.66621 + 0.961986i −0.0902303 + 0.0520945i
\(342\) −3.28018 4.04911i −0.177372 0.218951i
\(343\) 18.1972 + 3.44385i 0.982559 + 0.185950i
\(344\) −23.0621 + 4.24332i −1.24343 + 0.228785i
\(345\) 15.4739 + 3.35467i 0.833087 + 0.180609i
\(346\) 2.63744 0.160166i 0.141789 0.00861057i
\(347\) −0.473950 + 0.820906i −0.0254430 + 0.0440686i −0.878467 0.477804i \(-0.841433\pi\)
0.853024 + 0.521872i \(0.174766\pi\)
\(348\) 6.40076 9.04621i 0.343117 0.484928i
\(349\) −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 −0.995217 0.0976847i \(-0.968856\pi\)
0.582206 + 0.813041i \(0.302190\pi\)
\(354\) −5.71738 + 7.12193i −0.303875 + 0.378526i
\(355\) 9.56788 + 16.5721i 0.507810 + 0.879553i
\(356\) −10.8702 + 25.5471i −0.576122 + 1.35400i
\(357\) 3.91540 3.80699i 0.207225 0.201487i
\(358\) 18.2400 12.0614i 0.964015 0.637467i
\(359\) −12.2735 + 7.08613i −0.647772 + 0.373991i −0.787602 0.616184i \(-0.788678\pi\)
0.139830 + 0.990176i \(0.455344\pi\)
\(360\) 25.3619 + 6.34165i 1.33669 + 0.334234i
\(361\) 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
\(366\) −14.4514 + 5.61781i −0.755386 + 0.293648i
\(367\) −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
\(369\) 23.0470 16.4609i 1.19978 0.856921i
\(370\) −1.40578 + 0.929587i −0.0730828 + 0.0483269i
\(371\) 12.3717 + 24.8922i 0.642305 + 1.29234i
\(372\) −4.86842 + 2.24110i −0.252416 + 0.116195i
\(373\) 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
\(375\) −2.58031 + 0.826851i −0.133247 + 0.0426984i
\(376\) −14.3935 + 12.2609i −0.742287 + 0.632307i
\(377\) −19.1607 −0.986824
\(378\) −19.3057 2.29983i −0.992979 0.118290i
\(379\) 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
\(381\) −3.11183 9.71094i −0.159424 0.497507i
\(382\) 0.637538 0.0387163i 0.0326193 0.00198090i
\(383\) −1.35424 2.34561i −0.0691983 0.119855i 0.829350 0.558729i \(-0.188711\pi\)
−0.898549 + 0.438874i \(0.855377\pi\)
\(384\) 4.10570 + 19.1610i 0.209518 + 0.977805i
\(385\) −8.44587 5.60552i −0.430442 0.285684i
\(386\) −2.02726 + 1.34055i −0.103185 + 0.0682323i
\(387\) 14.4557 + 20.2394i 0.734824 + 1.02883i
\(388\) −27.4092 + 20.6171i −1.39149 + 1.04668i
\(389\) 6.35306 11.0038i 0.322113 0.557916i −0.658811 0.752308i \(-0.728940\pi\)
0.980924 + 0.194393i \(0.0622736\pi\)
\(390\) −16.3777 42.1304i −0.829319 2.13336i
\(391\) 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
\(396\) 5.50232 5.03949i 0.276502 0.253244i
\(397\) −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
\(399\) 1.38031 + 5.45668i 0.0691021 + 0.273176i
\(400\) 12.4599 + 12.9474i 0.622995 + 0.647371i
\(401\) −23.5968 + 13.6236i −1.17837 + 0.680331i −0.955636 0.294549i \(-0.904831\pi\)
−0.222731 + 0.974880i \(0.571497\pi\)
\(402\) 19.0032 23.6717i 0.947796 1.18063i
\(403\) 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
\(408\) −0.184053 + 5.83525i −0.00911199 + 0.288888i
\(409\) 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
\(411\) −0.285960 + 1.31903i −0.0141054 + 0.0650632i
\(412\) 22.8796 + 9.73520i 1.12720 + 0.479619i
\(413\) 8.83378 4.39047i 0.434682 0.216041i
\(414\) 9.78138 7.92389i 0.480729 0.389438i
\(415\) 8.05487 + 13.9514i 0.395398 + 0.684849i
\(416\) 22.9445 24.9309i 1.12495 1.22234i
\(417\) −2.93196 9.14963i −0.143579 0.448059i
\(418\) −1.93271 0.964659i −0.0945319 0.0471830i
\(419\) 19.8589i 0.970173i −0.874466 0.485086i \(-0.838788\pi\)
0.874466 0.485086i \(-0.161212\pi\)
\(420\) −21.9898 17.7144i −1.07299 0.864372i
\(421\) 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
\(423\) 18.2541 + 8.30516i 0.887547 + 0.403811i
\(424\) −27.9990 9.95593i −1.35975 0.483503i
\(425\) 2.67672 + 4.63622i 0.129840 + 0.224890i
\(426\) 15.0364 + 2.31620i 0.728517 + 0.112220i
\(427\) 16.7147 + 1.04345i 0.808880 + 0.0504962i
\(428\) 7.50217 17.6315i 0.362631 0.852252i
\(429\) −12.6081 2.73338i −0.608725 0.131969i
\(430\) 2.18964 + 36.0566i 0.105594 + 1.73880i
\(431\) −19.8541 11.4628i −0.956339 0.552142i −0.0612944 0.998120i \(-0.519523\pi\)
−0.895044 + 0.445977i \(0.852856\pi\)
\(432\) 16.5546 12.5676i 0.796485 0.604659i
\(433\) 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
\(438\) −15.8112 + 19.6955i −0.755489 + 0.941086i
\(439\) −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
\(441\) 17.8846 + 11.0064i 0.851648 + 0.524115i
\(442\) 8.41999 5.56783i 0.400498 0.264834i
\(443\) 2.28548 + 3.95856i 0.108586 + 0.188077i 0.915198 0.403005i \(-0.132034\pi\)
−0.806611 + 0.591082i \(0.798701\pi\)
\(444\) −0.123344 + 1.33422i −0.00585366 + 0.0633194i
\(445\) 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 \(-0.967368\pi\)
0.994750 0.102338i \(-0.0326323\pi\)
\(450\) 6.82675 17.7944i 0.321816 0.838836i
\(451\) 5.86998 10.1671i 0.276406 0.478750i
\(452\) −11.2208 + 8.44026i −0.527783 + 0.396996i
\(453\) 7.32905 + 1.58890i 0.344349 + 0.0746531i
\(454\) −3.72065 5.62658i −0.174619 0.264068i
\(455\) −3.04200 + 48.7287i −0.142611 + 2.28444i
\(456\) −5.11359 3.17138i −0.239466 0.148513i
\(457\) −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
\(459\) 5.68714 2.44969i 0.265453 0.114342i
\(460\) 18.1485 2.21239i 0.846176 0.103153i
\(461\) 25.3326i 1.17986i 0.807455 + 0.589929i \(0.200844\pi\)
−0.807455 + 0.589929i \(0.799156\pi\)
\(462\) −7.67893 + 2.44636i −0.357256 + 0.113815i
\(463\) 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
\(465\) 2.51945 + 7.86233i 0.116837 + 0.364607i
\(466\) −3.26305 + 0.198158i −0.151158 + 0.00917950i
\(467\) −26.9170 + 15.5406i −1.24557 + 0.719131i −0.970223 0.242214i \(-0.922127\pi\)
−0.275348 + 0.961345i \(0.588793\pi\)
\(468\) −34.2715 10.8149i −1.58420 0.499920i
\(469\) −29.3615 + 14.5929i −1.35579 + 0.673839i
\(470\) 16.0657 + 24.2954i 0.741054 + 1.12066i
\(471\) 10.8679 + 2.35611i 0.500766 + 0.108564i
\(472\) −3.53317 + 9.93632i −0.162627 + 0.457356i
\(473\) 8.92857 + 5.15491i 0.410536 + 0.237023i
\(474\) −29.2881 + 11.3854i −1.34525 + 0.522951i
\(475\) −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 \(0.451873\pi\)
−0.931456 + 0.363855i \(0.881460\pi\)
\(480\) 30.0654 2.70642i 1.37229 0.123530i
\(481\) 2.00637 1.15838i 0.0914827 0.0528176i
\(482\) −3.04884 4.61063i −0.138871 0.210008i
\(483\) −13.1816 + 3.33441i −0.599786 + 0.151721i
\(484\) −7.40267 + 17.3977i −0.336485 + 0.790804i
\(485\) 26.4174 + 45.7562i 1.19955 + 2.07768i
\(486\) −19.5214 10.2427i −0.885511 0.464619i
\(487\) −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 \(-0.0681079\pi\)
0.977196 + 0.212339i \(0.0681079\pi\)
\(492\) 18.8893 26.6963i 0.851595 1.20356i
\(493\) 1.90614 3.30153i 0.0858482 0.148693i
\(494\) 0.630647 + 10.3848i 0.0283742 + 0.467235i
\(495\) −6.68046 9.35332i −0.300264 0.420400i
\(496\) −4.45914 + 4.29124i −0.200221 + 0.192682i
\(497\) −13.6916 9.08710i −0.614152 0.407612i
\(498\) 12.6586 + 1.94993i 0.567247 + 0.0873783i
\(499\) 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
\(501\) −8.23056 25.6847i −0.367714 1.14751i
\(502\) −9.88578 + 19.8063i −0.441224 + 0.883999i
\(503\) 34.2432 1.52683 0.763414 0.645910i \(-0.223522\pi\)
0.763414 + 0.645910i \(0.223522\pi\)
\(504\) −21.9272 + 4.81661i −0.976713 + 0.214549i
\(505\) 10.2249 0.455003
\(506\) 2.33032 4.66883i 0.103595 0.207555i
\(507\) 12.0907 + 37.7307i 0.536965 + 1.67568i
\(508\) −7.07815 9.40998i −0.314042 0.417500i
\(509\) 24.1054 13.9173i 1.06845 0.616871i 0.140694 0.990053i \(-0.455067\pi\)
0.927758 + 0.373182i \(0.121733\pi\)
\(510\) 8.88869 + 1.36921i 0.393598 + 0.0606295i
\(511\) 24.4295 12.1417i 1.08070 0.537118i
\(512\) 11.7475 + 19.3390i 0.519171 + 0.854671i
\(513\) −0.744220 + 6.33864i −0.0328581 + 0.279858i
\(514\) 1.11981 + 18.4398i 0.0493928 + 0.813346i
\(515\) 19.1517 33.1716i 0.843923 1.46172i
\(516\) 23.4442 + 16.5882i 1.03207 + 0.730257i
\(517\) 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 −0.987339 0.158625i \(-0.949294\pi\)
0.631043 + 0.775748i \(0.282627\pi\)
\(522\) −13.4047 + 2.12571i −0.586709 + 0.0930399i
\(523\) −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
\(525\) −14.7594 + 14.3508i −0.644155 + 0.626319i
\(526\) −23.6760 35.8043i −1.03232 1.56114i
\(527\) −1.59673 + 0.921874i −0.0695548 + 0.0401575i
\(528\) 4.08873 7.58364i 0.177939 0.330035i
\(529\) −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
\(534\) 31.6929 12.3202i 1.37148 0.533149i
\(535\) −25.5628 14.7587i −1.10518 0.638074i
\(536\) 11.7435 33.0260i 0.507240 1.42651i
\(537\) −26.1738 5.67434i −1.12948 0.244866i
\(538\) −0.616734 0.932661i −0.0265893 0.0402099i
\(539\) 8.63734 + 1.08263i 0.372037 + 0.0466322i
\(540\) −16.1318 27.6573i −0.694203 1.19018i
\(541\) 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
\(543\) −8.78084 27.4019i −0.376822 1.17593i
\(544\) 2.01322 + 6.43368i 0.0863163 + 0.275842i
\(545\) 1.81587 0.0777834
\(546\) 28.6969 + 26.1388i 1.22811 + 1.11864i
\(547\) 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
\(549\) 17.2847 + 7.86407i 0.737692 + 0.335630i
\(550\) −0.478888 7.88581i −0.0204199 0.336252i
\(551\) 1.96459 + 3.40277i 0.0836944 + 0.144963i
\(552\) 7.66106 12.3528i 0.326076 0.525772i
\(553\) 33.8751 + 2.11473i 1.44052 + 0.0899275i
\(554\) −13.8840 20.9961i −0.589873 0.892040i
\(555\) 2.01724 + 0.437327i 0.0856270 + 0.0185635i
\(556\) −6.66902 8.86606i −0.282830 0.376005i
\(557\) −2.14436 + 3.71415i −0.0908596 + 0.157373i −0.907873 0.419245i \(-0.862295\pi\)
0.817013 + 0.576619i \(0.195628\pi\)
\(558\) 6.12846 + 2.35116i 0.259438 + 0.0995325i
\(559\) 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 0.948521 0.316713i \(-0.102579\pi\)
0.199979 + 0.979800i \(0.435913\pi\)
\(564\) 23.0588 + 2.13171i 0.970951 + 0.0897611i
\(565\) 10.8148 + 18.7317i 0.454981 + 0.788049i
\(566\) 4.27474 2.82673i 0.179681 0.118816i
\(567\) 14.4954 + 18.8913i 0.608751 + 0.793362i
\(568\) 17.2773 3.17895i 0.724941 0.133386i
\(569\) 8.62592 4.98018i 0.361617 0.208780i −0.308173 0.951330i \(-0.599717\pi\)
0.669790 + 0.742551i \(0.266384\pi\)
\(570\) −5.80276 + 7.22829i −0.243051 + 0.302760i
\(571\) 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
\(576\) 13.2860 19.9870i 0.553583 0.832794i
\(577\) 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
\(579\) 2.90905 + 0.630667i 0.120896 + 0.0262096i
\(580\) −18.1383 7.71779i −0.753150 0.320464i
\(581\) −11.5265 7.65011i −0.478199 0.317380i
\(582\) 41.5163 + 6.39514i 1.72091 + 0.265087i
\(583\) 6.53263 + 11.3149i 0.270554 + 0.468613i
\(584\) −9.77087 + 27.4786i −0.404322 + 1.13707i
\(585\) −22.9263 + 50.3904i −0.947886 + 2.08339i
\(586\) 6.17064 12.3630i 0.254907 0.510710i
\(587\) 25.9212i 1.06988i −0.844890 0.534940i \(-0.820334\pi\)
0.844890 0.534940i \(-0.179666\pi\)
\(588\) 23.6807 + 5.21786i 0.976574 + 0.215181i
\(589\) 1.90029i 0.0782999i
\(590\) 14.5355 + 7.25501i 0.598418 + 0.298684i
\(591\) 8.68003 + 27.0873i 0.357049 + 1.11422i
\(592\) 0.371699 + 1.50188i 0.0152767 + 0.0617270i
\(593\) 22.1118 + 38.2987i 0.908022 + 1.57274i 0.816808 + 0.576909i \(0.195741\pi\)
0.0912135 + 0.995831i \(0.470925\pi\)
\(594\) −9.12383 0.513497i −0.374355 0.0210691i
\(595\) −8.09370 5.37178i −0.331809 0.220222i
\(596\) −3.24529 + 7.62704i −0.132932 + 0.312416i
\(597\) −0.355691 + 1.64068i −0.0145575 + 0.0671485i
\(598\) −25.0865 + 1.52345i −1.02586 + 0.0622984i
\(599\) −8.58632 4.95731i −0.350827 0.202550i 0.314222 0.949349i \(-0.398256\pi\)
−0.665050 + 0.746799i \(0.731590\pi\)
\(600\) 0.693805 21.9965i 0.0283245 0.898003i
\(601\) 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
\(606\) 5.08906 6.33926i 0.206729 0.257515i
\(607\) 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
\(609\) 14.1055 + 3.99261i 0.571584 + 0.161789i
\(610\) 15.2124 + 23.0051i 0.615933 + 0.931449i
\(611\) −20.0198 34.6753i −0.809915 1.40281i
\(612\) 5.27289 4.82935i 0.213144 0.195215i
\(613\) −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 \(-0.819234\pi\)
0.843036 0.537856i \(-0.180766\pi\)
\(618\) −11.0338 28.3836i −0.443845 1.14176i
\(619\) 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
\(621\) −15.3122 1.79780i −0.614457 0.0721434i
\(622\) −20.8834 + 13.8094i −0.837350 + 0.553708i
\(623\) −36.6564 2.28836i −1.46861 0.0916813i
\(624\) −41.4794 + 1.20831i −1.66050 + 0.0483712i
\(625\) 13.6405 + 23.6260i 0.545619 + 0.945040i
\(626\) 16.1932 0.983375i 0.647209 0.0393036i
\(627\) 0.807317 + 2.51935i 0.0322411 + 0.100613i
\(628\) 12.7463 1.55384i 0.508634 0.0620051i
\(629\) 0.460951i 0.0183793i
\(630\) 3.27786 + 34.4279i 0.130593 + 1.37164i
\(631\) −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
\(633\) −16.4834 + 5.28206i −0.655158 + 0.209943i
\(634\) −0.198263 3.26478i −0.00787403 0.129661i
\(635\) −15.7088 + 9.06945i −0.623383 + 0.359910i
\(636\) 15.2188 + 33.0603i 0.603464 + 1.31093i
\(637\) −16.2849 38.6352i −0.645231 1.53078i
\(638\) −4.69276 + 3.10315i −0.185788 + 0.122855i
\(639\) −10.8297 15.1627i −0.428416 0.599826i
\(640\) 31.7622 14.3587i 1.25551 0.567578i
\(641\) 6.31225 + 3.64438i 0.249319 + 0.143944i 0.619452 0.785034i \(-0.287355\pi\)
−0.370133 + 0.928979i \(0.620688\pi\)
\(642\) −21.8731 + 8.50290i −0.863261 + 0.335583i
\(643\) −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 \(-0.540746\pi\)
0.922768 0.385355i \(-0.125921\pi\)
\(648\) −25.1760 3.76395i −0.989008 0.147862i
\(649\) 4.01543 2.31831i 0.157619 0.0910016i
\(650\) −31.7399 + 20.9884i −1.24494 + 0.823233i
\(651\) −4.94246 5.08321i −0.193710 0.199227i
\(652\) 19.5119 + 8.30228i 0.764146 + 0.325142i
\(653\) −22.0316 38.1599i −0.862164 1.49331i −0.869836 0.493341i \(-0.835775\pi\)
0.00767187 0.999971i \(-0.497558\pi\)
\(654\) 0.903781 1.12581i 0.0353406 0.0440225i
\(655\) −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 \(-0.536601\pi\)
−0.114731 + 0.993397i \(0.536601\pi\)
\(660\) −10.8344 7.66599i −0.421727 0.298398i
\(661\) −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
\(663\) −12.0824 2.61940i −0.469241 0.101729i
\(664\) 14.5452 2.67624i 0.564462 0.103858i
\(665\) 8.96570 4.45604i 0.347675 0.172798i
\(666\) 1.27514 1.03299i 0.0494106 0.0400275i
\(667\) −8.22004 + 4.74584i −0.318281 + 0.183760i
\(668\) −18.7212 24.8887i −0.724344 0.962971i
\(669\) −22.6853 + 7.26942i −0.877065 + 0.281052i
\(670\) −48.3128 24.1140i −1.86648 0.931605i
\(671\) 7.87156 0.303878
\(672\) −22.0860 + 13.5723i −0.851987 + 0.523563i
\(673\) −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
\(675\) −21.4382 + 9.23431i −0.825155 + 0.355429i
\(676\) 27.5013 + 36.5613i 1.05774 + 1.40621i
\(677\) −35.7518 + 20.6413i −1.37405 + 0.793310i −0.991436 0.130596i \(-0.958311\pi\)
−0.382618 + 0.923907i \(0.624977\pi\)
\(678\) 16.9960 + 2.61804i 0.652726 + 0.100545i
\(679\) −37.8032 25.0899i −1.45075 0.962863i
\(680\) 10.2134 1.87921i 0.391665 0.0720646i
\(681\) −1.75039 + 8.07394i −0.0670751 + 0.309394i
\(682\) 2.71591 0.164931i 0.103997 0.00631554i
\(683\) −17.1346 + 29.6781i −0.655638 + 1.13560i 0.326095 + 0.945337i \(0.394267\pi\)
−0.981733 + 0.190262i \(0.939066\pi\)
\(684\) 1.59330 + 7.19521i 0.0609215 + 0.275116i
\(685\) 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
\(690\) −17.4613 14.0177i −0.664740 0.533643i
\(691\) 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
\(693\) 8.71215 + 4.63945i 0.330947 + 0.176238i
\(694\) 1.11817 0.739406i 0.0424453 0.0280675i
\(695\) −14.8008 + 8.54522i −0.561425 + 0.324139i
\(696\) −13.8125 + 7.40416i −0.523562 + 0.280654i
\(697\) 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 \(-0.424691\pi\)
0.234389 + 0.972143i \(0.424691\pi\)
\(702\) 19.8304 + 39.2938i 0.748451 + 1.48305i
\(703\) −0.411437 0.237543i −0.0155176 0.00895911i
\(704\) 1.58182 9.82193i 0.0596170 0.370178i
\(705\) 7.55815 34.8631i 0.284656 1.31302i
\(706\) 18.3073 12.1060i 0.689006 0.455614i
\(707\) −7.86299 + 3.90798i −0.295718 + 0.146975i
\(708\) 11.7325 5.40086i 0.440934 0.202977i
\(709\) 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
\(711\) 35.0303 + 15.9379i 1.31374 + 0.597717i
\(712\) 29.8894 25.4609i 1.12015 0.954187i
\(713\) 4.59050 0.171916
\(714\) −7.35874 + 2.34435i −0.275394 + 0.0877351i
\(715\) 22.9481i 0.858211i
\(716\) −30.6977 + 3.74221i −1.14723 + 0.139853i
\(717\) −35.6329 + 11.4184i −1.33073 + 0.426429i
\(718\) 20.0057 1.21491i 0.746607 0.0453399i
\(719\) 12.1803 + 21.0969i 0.454250 + 0.786783i 0.998645 0.0520455i \(-0.0165741\pi\)
−0.544395 + 0.838829i \(0.683241\pi\)
\(720\) −28.0866 24.0422i −1.04673 0.895999i
\(721\) −2.04942 + 32.8289i −0.0763243 + 1.22261i
\(722\) −20.6334 + 13.6441i −0.767895 + 0.507781i
\(723\) −1.43434 + 6.61609i −0.0533435 + 0.246055i
\(724\) −19.9728 26.5527i −0.742284 0.986822i
\(725\) −7.18536 + 12.4454i −0.266858 + 0.462211i
\(726\) 21.5830 8.39013i 0.801019 0.311387i
\(727\) 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
\(732\) 21.8342 + 2.01849i 0.807013 + 0.0746056i
\(733\) −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
\(735\) 12.3933 35.2387i 0.457133 1.29980i
\(736\) 3.66827 16.3785i 0.135214 0.603721i
\(737\) −13.3464 + 7.70552i −0.491619 + 0.283837i
\(738\) −39.5587 + 6.27320i −1.45618 + 0.230920i
\(739\) −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 \(-0.857430\pi\)
0.901360 0.433070i \(-0.142570\pi\)
\(744\) 7.57568 + 0.238949i 0.277738 + 0.00876030i
\(745\) 11.0580 + 6.38431i 0.405132 + 0.233903i
\(746\) −7.44852 + 0.452332i −0.272710 + 0.0165611i
\(747\) −9.11713 12.7649i −0.333578 0.467044i
\(748\) 1.16046 2.72730i 0.0424306 0.0997200i
\(749\) 25.2987 + 1.57933i 0.924394 + 0.0577074i
\(750\) 3.78722 + 0.583380i 0.138290 + 0.0213020i
\(751\) 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
\(753\) 25.8182 8.27335i 0.940868 0.301497i
\(754\) 24.2450 + 12.1012i 0.882952 + 0.440701i
\(755\) 13.3397i 0.485480i
\(756\) 22.9761 + 15.1030i 0.835632 + 0.549289i
\(757\) 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
\(759\) −6.08598 + 1.95023i −0.220907 + 0.0707888i
\(760\) −3.58594 + 10.0847i −0.130076 + 0.365811i
\(761\) −3.99009 6.91104i −0.144641 0.250525i 0.784598 0.620005i \(-0.212869\pi\)
−0.929239 + 0.369480i \(0.879536\pi\)
\(762\) −2.19554 + 14.2531i −0.0795360 + 0.516336i
\(763\) −1.39641 + 0.694029i −0.0505534 + 0.0251255i
\(764\) −0.831163 0.353658i −0.0300704 0.0127949i
\(765\) −6.40190 8.96331i −0.231461 0.324069i
\(766\) 0.232182 + 3.82332i 0.00838907 + 0.138142i
\(767\) −19.3402 11.1661i −0.698333 0.403183i
\(768\) 6.90628 26.8385i 0.249209 0.968450i
\(769\) 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
\(773\) 31.4449 +