Properties

Label 168.2.ba.c.101.13
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 101.13
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0857242 - 1.41161i) q^{2} +(1.69273 - 0.366975i) q^{3} +(-1.98530 - 0.242019i) q^{4} +(2.66818 - 1.54047i) q^{5} +(-0.372919 - 2.42094i) q^{6} +(-1.46307 + 2.20441i) q^{7} +(-0.511826 + 2.78173i) q^{8} +(2.73066 - 1.24238i) q^{9} +O(q^{10})\) \(q+(0.0857242 - 1.41161i) q^{2} +(1.69273 - 0.366975i) q^{3} +(-1.98530 - 0.242019i) 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} +(2.73066 - 1.24238i) q^{9} +(-1.94583 - 3.89849i) q^{10} +(-0.621780 + 1.07696i) q^{11} +(-3.44939 + 0.318884i) q^{12} -5.98957 q^{13} +(2.98636 + 2.25426i) q^{14} +(3.95119 - 3.58676i) q^{15} +(3.88285 + 0.960961i) q^{16} +(0.595854 - 1.03205i) q^{17} +(-1.51967 - 3.96114i) 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} +(0.154445 + 4.89654i) q^{24} +(2.24612 - 3.89040i) q^{25} +(-0.513451 + 8.45496i) q^{26} +(4.16634 - 3.10509i) q^{27} +(3.43814 - 4.02234i) q^{28} -3.19900 q^{29} +(-4.72441 - 5.88502i) q^{30} +(1.33987 + 0.773574i) q^{31} +(1.68936 - 5.39871i) q^{32} +(-0.657290 + 2.05117i) 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} +(1.55417 - 0.775723i) q^{38} +(-10.1387 + 2.19802i) q^{39} +(2.91955 + 8.21062i) q^{40} +9.44060 q^{41} +(5.88235 + 2.71992i) q^{42} +8.29057i q^{43} +(1.49507 - 1.98760i) q^{44} +(5.37204 - 7.52140i) q^{45} +(1.87391 + 3.75440i) 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} +(0.629882 - 1.96564i) q^{51} +(11.8911 + 1.44959i) q^{52} +(5.25317 - 9.09875i) q^{53} +(-4.02603 - 6.14744i) q^{54} +3.83135i q^{55} +(-5.38325 - 5.19813i) q^{56} +(1.42990 + 1.57518i) q^{57} +(-0.274232 + 4.51576i) q^{58} +(-3.22898 - 1.86425i) q^{59} +(-8.71237 + 6.16454i) 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} +(2.83911 + 1.10367i) q^{66} +(-10.7324 - 6.19634i) q^{67} +(-1.43273 + 1.90472i) q^{68} +(-3.80515 + 3.45419i) q^{69} +(11.4408 + 1.41435i) q^{70} -6.21100i q^{71} +(2.05834 + 8.23184i) q^{72} +(-8.92963 - 5.15552i) q^{73} +(0.244290 + 0.489438i) q^{74} +(2.37440 - 7.40966i) 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} +(11.8405 - 3.41742i) q^{80} +(5.91299 - 6.78502i) q^{81} +(0.809288 - 13.3265i) q^{82} +5.22882i q^{83} +(4.34374 - 8.07044i) q^{84} -3.67159i q^{85} +(11.7031 + 0.710702i) q^{86} +(-5.41505 + 1.17396i) q^{87} +(-2.67756 - 2.28084i) 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} +(2.55192 + 0.817752i) q^{93} +(8.45876 - 4.22196i) q^{94} +(3.27720 + 1.89209i) q^{95} +(0.878436 - 9.75850i) q^{96} +17.1489i q^{97} +(-9.33855 + 3.28504i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0857242 1.41161i 0.0606162 0.998161i
\(3\) 1.69273 0.366975i 0.977297 0.211873i
\(4\) −1.98530 0.242019i −0.992651 0.121009i
\(5\) 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
\(9\) 2.73066 1.24238i 0.910220 0.414126i
\(10\) −1.94583 3.89849i −0.615324 1.23281i
\(11\) −0.621780 + 1.07696i −0.187474 + 0.324714i −0.944407 0.328778i \(-0.893363\pi\)
0.756933 + 0.653492i \(0.226697\pi\)
\(12\) −3.44939 + 0.318884i −0.995754 + 0.0920540i
\(13\) −5.98957 −1.66121 −0.830604 0.556864i \(-0.812005\pi\)
−0.830604 + 0.556864i \(0.812005\pi\)
\(14\) 2.98636 + 2.25426i 0.798138 + 0.602475i
\(15\) 3.95119 3.58676i 1.02019 0.926098i
\(16\) 3.88285 + 0.960961i 0.970713 + 0.240240i
\(17\) 0.595854 1.03205i 0.144516 0.250309i −0.784676 0.619906i \(-0.787171\pi\)
0.929192 + 0.369597i \(0.120504\pi\)
\(18\) −1.51967 3.96114i −0.358191 0.933649i
\(19\) 0.614126 + 1.06370i 0.140890 + 0.244029i 0.927832 0.372998i \(-0.121670\pi\)
−0.786942 + 0.617027i \(0.788337\pi\)
\(20\) −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 \(0.433441\pi\)
\(24\) 0.154445 + 4.89654i 0.0315259 + 0.999503i
\(25\) 2.24612 3.89040i 0.449225 0.778080i
\(26\) −0.513451 + 8.45496i −0.100696 + 1.65815i
\(27\) 4.16634 3.10509i 0.801813 0.597575i
\(28\) 3.43814 4.02234i 0.649747 0.760150i
\(29\) −3.19900 −0.594040 −0.297020 0.954871i \(-0.595993\pi\)
−0.297020 + 0.954871i \(0.595993\pi\)
\(30\) −4.72441 5.88502i −0.862554 1.07445i
\(31\) 1.33987 + 0.773574i 0.240648 + 0.138938i 0.615474 0.788157i \(-0.288964\pi\)
−0.374827 + 0.927095i \(0.622298\pi\)
\(32\) 1.68936 5.39871i 0.298640 0.954366i
\(33\) −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
\(36\) −5.72186 + 1.80563i −0.953644 + 0.300938i
\(37\) −0.334978 + 0.193399i −0.0550700 + 0.0317947i −0.527282 0.849690i \(-0.676789\pi\)
0.472212 + 0.881485i \(0.343456\pi\)
\(38\) 1.55417 0.775723i 0.252120 0.125839i
\(39\) −10.1387 + 2.19802i −1.62349 + 0.351965i
\(40\) 2.91955 + 8.21062i 0.461621 + 1.29821i
\(41\) 9.44060 1.47437 0.737187 0.675689i \(-0.236154\pi\)
0.737187 + 0.675689i \(0.236154\pi\)
\(42\) 5.88235 + 2.71992i 0.907666 + 0.419693i
\(43\) 8.29057i 1.26430i 0.774846 + 0.632150i \(0.217827\pi\)
−0.774846 + 0.632150i \(0.782173\pi\)
\(44\) 1.49507 1.98760i 0.225390 0.299642i
\(45\) 5.37204 7.52140i 0.800816 1.12122i
\(46\) 1.87391 + 3.75440i 0.276292 + 0.553556i
\(47\) 3.34244 + 5.78928i 0.487546 + 0.844454i 0.999897 0.0143219i \(-0.00455895\pi\)
−0.512352 + 0.858776i \(0.671226\pi\)
\(48\) 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
\(51\) 0.629882 1.96564i 0.0882012 0.275245i
\(52\) 11.8911 + 1.44959i 1.64900 + 0.201022i
\(53\) 5.25317 9.09875i 0.721578 1.24981i −0.238789 0.971071i \(-0.576750\pi\)
0.960367 0.278738i \(-0.0899162\pi\)
\(54\) −4.02603 6.14744i −0.547874 0.836561i
\(55\) 3.83135i 0.516619i
\(56\) −5.38325 5.19813i −0.719367 0.694630i
\(57\) 1.42990 + 1.57518i 0.189395 + 0.208638i
\(58\) −0.274232 + 4.51576i −0.0360084 + 0.592948i
\(59\) −3.22898 1.86425i −0.420377 0.242705i 0.274862 0.961484i \(-0.411368\pi\)
−0.695238 + 0.718779i \(0.744701\pi\)
\(60\) −8.71237 + 6.16454i −1.12476 + 0.795839i
\(61\) 3.16493 + 5.48181i 0.405227 + 0.701874i 0.994348 0.106171i \(-0.0338590\pi\)
−0.589121 + 0.808045i \(0.700526\pi\)
\(62\) 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
\(66\) 2.83911 + 1.10367i 0.349471 + 0.135853i
\(67\) −10.7324 6.19634i −1.31117 0.757003i −0.328878 0.944372i \(-0.606671\pi\)
−0.982290 + 0.187369i \(0.940004\pi\)
\(68\) −1.43273 + 1.90472i −0.173744 + 0.230982i
\(69\) −3.80515 + 3.45419i −0.458086 + 0.415836i
\(70\) 11.4408 + 1.41435i 1.36743 + 0.169047i
\(71\) 6.21100i 0.737110i −0.929606 0.368555i \(-0.879853\pi\)
0.929606 0.368555i \(-0.120147\pi\)
\(72\) 2.05834 + 8.23184i 0.242578 + 0.970132i
\(73\) −8.92963 5.15552i −1.04513 0.603408i −0.123851 0.992301i \(-0.539524\pi\)
−0.921283 + 0.388893i \(0.872858\pi\)
\(74\) 0.244290 + 0.489438i 0.0283981 + 0.0568960i
\(75\) 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
\(78\) 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 \(-0.423287\pi\)
\(80\) 11.8405 3.41742i 1.32381 0.382079i
\(81\) 5.91299 6.78502i 0.656999 0.753891i
\(82\) 0.809288 13.3265i 0.0893709 1.47166i
\(83\) 5.22882i 0.573938i 0.957940 + 0.286969i \(0.0926476\pi\)
−0.957940 + 0.286969i \(0.907352\pi\)
\(84\) 4.34374 8.07044i 0.473941 0.880557i
\(85\) 3.67159i 0.398240i
\(86\) 11.7031 + 0.710702i 1.26197 + 0.0766370i
\(87\) −5.41505 + 1.17396i −0.580554 + 0.125861i
\(88\) −2.67756 2.28084i −0.285429 0.243138i
\(89\) −6.94090 12.0220i −0.735734 1.27433i −0.954400 0.298529i \(-0.903504\pi\)
0.218666 0.975800i \(-0.429829\pi\)
\(90\) −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
\(93\) 2.55192 + 0.817752i 0.264621 + 0.0847969i
\(94\) 8.45876 4.22196i 0.872454 0.435462i
\(95\) 3.27720 + 1.89209i 0.336233 + 0.194124i
\(96\) 0.878436 9.75850i 0.0896550 0.995973i
\(97\) 17.1489i 1.74120i 0.491989 + 0.870601i \(0.336270\pi\)
−0.491989 + 0.870601i \(0.663730\pi\)
\(98\) −9.33855 + 3.28504i −0.943336 + 0.331839i
\(99\) −0.359884 + 3.71328i −0.0361697 + 0.373199i
\(100\) −5.40078 + 7.18002i −0.540078 + 0.718002i
\(101\) 2.87413 + 1.65938i 0.285986 + 0.165114i 0.636130 0.771582i \(-0.280534\pi\)
−0.350144 + 0.936696i \(0.613867\pi\)
\(102\) −2.72073 1.05765i −0.269392 0.104723i
\(103\) 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 0.536017 0.844207i \(-0.319928\pi\)
−0.999113 + 0.0421002i \(0.986595\pi\)
\(108\) −9.02294 + 5.15622i −0.868233 + 0.496157i
\(109\) −0.510424 0.294693i −0.0488898 0.0282265i 0.475356 0.879794i \(-0.342319\pi\)
−0.524246 + 0.851567i \(0.675653\pi\)
\(110\) 5.40838 + 0.328439i 0.515669 + 0.0313155i
\(111\) −0.496053 + 0.450301i −0.0470833 + 0.0427407i
\(112\) −7.79923 + 7.15346i −0.736958 + 0.675939i
\(113\) 7.02041i 0.660425i −0.943907 0.330212i \(-0.892880\pi\)
0.943907 0.330212i \(-0.107120\pi\)
\(114\) 2.34612 1.88343i 0.219735 0.176400i
\(115\) −4.57070 + 7.91669i −0.426220 + 0.738235i
\(116\) 6.35099 + 0.774219i 0.589675 + 0.0718845i
\(117\) −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
\(120\) 7.95509 + 12.8269i 0.726197 + 1.17093i
\(121\) 4.72678 + 8.18702i 0.429707 + 0.744275i
\(122\) 8.00951 3.99773i 0.725147 0.361937i
\(123\) 15.9804 3.46446i 1.44090 0.312380i
\(124\) −2.47283 1.86005i −0.222066 0.167038i
\(125\) 1.56436i 0.139921i
\(126\) 10.9554 + 2.44542i 0.975981 + 0.217855i
\(127\) −5.88744 −0.522426 −0.261213 0.965281i \(-0.584123\pi\)
−0.261213 + 0.965281i \(0.584123\pi\)
\(128\) −4.66048 + 10.3092i −0.411932 + 0.911214i
\(129\) 3.04243 + 14.0337i 0.267871 + 1.23560i
\(130\) 11.6547 + 23.3503i 1.02218 + 2.04796i
\(131\) −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
\(135\) 6.33323 14.7031i 0.545078 1.26544i
\(136\) 2.56591 + 2.18574i 0.220025 + 0.187425i
\(137\) −0.674838 0.389618i −0.0576553 0.0332873i 0.470895 0.882189i \(-0.343931\pi\)
−0.528551 + 0.848902i \(0.677264\pi\)
\(138\) 4.54979 + 5.66750i 0.387304 + 0.482450i
\(139\) 5.54714 0.470502 0.235251 0.971935i \(-0.424409\pi\)
0.235251 + 0.971935i \(0.424409\pi\)
\(140\) 2.97727 16.0287i 0.251625 1.35467i
\(141\) 7.78237 + 8.57309i 0.655394 + 0.721984i
\(142\) −8.76752 0.532433i −0.735754 0.0446808i
\(143\) 3.72420 6.45050i 0.311433 0.539418i
\(144\) 11.7966 2.19992i 0.983052 0.183326i
\(145\) −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 0.938336 0.345726i \(-0.112367\pi\)
−0.768575 + 0.639760i \(0.779034\pi\)
\(150\) −10.2560 3.98692i −0.837401 0.325530i
\(151\) 2.16486 3.74965i 0.176174 0.305142i −0.764393 0.644751i \(-0.776961\pi\)
0.940567 + 0.339608i \(0.110295\pi\)
\(152\) −3.27325 + 1.16391i −0.265495 + 0.0944052i
\(153\) 0.344878 3.55845i 0.0278817 0.287684i
\(154\) −4.28459 + 1.81452i −0.345262 + 0.146218i
\(155\) 4.76668 0.382869
\(156\) 20.6604 1.90998i 1.65415 0.152921i
\(157\) −3.21017 + 5.56018i −0.256200 + 0.443751i −0.965221 0.261437i \(-0.915804\pi\)
0.709021 + 0.705187i \(0.249137\pi\)
\(158\) −16.2326 + 8.10207i −1.29140 + 0.644566i
\(159\) 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
\(162\) −9.07094 8.92850i −0.712680 0.701489i
\(163\) −9.18195 + 5.30120i −0.719186 + 0.415222i −0.814453 0.580230i \(-0.802963\pi\)
0.0952672 + 0.995452i \(0.469629\pi\)
\(164\) −18.7424 2.28480i −1.46354 0.178413i
\(165\) 1.40601 + 6.48543i 0.109458 + 0.504890i
\(166\) 7.38107 + 0.448237i 0.572882 + 0.0347899i
\(167\) 15.5718 1.20498 0.602492 0.798125i \(-0.294175\pi\)
0.602492 + 0.798125i \(0.294175\pi\)
\(168\) −11.0200 6.82351i −0.850209 0.526445i
\(169\) 22.8750 1.75961
\(170\) −5.18287 0.314744i −0.397508 0.0241398i
\(171\) 2.99848 + 2.14162i 0.229300 + 0.163774i
\(172\) 2.00647 16.4593i 0.152992 1.25501i
\(173\) −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
\(177\) −6.14991 1.97071i −0.462256 0.148128i
\(178\) −17.5654 + 8.76729i −1.31658 + 0.657136i
\(179\) −7.73124 + 13.3909i −0.577860 + 1.00088i 0.417864 + 0.908509i \(0.362779\pi\)
−0.995724 + 0.0923734i \(0.970555\pi\)
\(180\) −12.4854 + 13.6321i −0.930610 + 1.01608i
\(181\) 16.6129 1.23483 0.617415 0.786638i \(-0.288180\pi\)
0.617415 + 0.786638i \(0.288180\pi\)
\(182\) −17.8870 13.5020i −1.32587 1.00084i
\(183\) 7.36905 + 8.11777i 0.544736 + 0.600083i
\(184\) −2.81164 7.90714i −0.207277 0.582922i
\(185\) −0.595854 + 1.03205i −0.0438081 + 0.0758778i
\(186\) 1.37311 3.53222i 0.100681 0.258995i
\(187\) 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 \(0.328132\pi\)
\(192\) −13.6999 2.07655i −0.988707 0.149862i
\(193\) 0.859277 1.48831i 0.0618521 0.107131i −0.833441 0.552608i \(-0.813633\pi\)
0.895293 + 0.445477i \(0.146966\pi\)
\(194\) 24.2076 + 1.47007i 1.73800 + 0.105545i
\(195\) −23.6659 + 21.4832i −1.69475 + 1.53844i
\(196\) 3.83667 + 13.4640i 0.274048 + 0.961716i
\(197\) 16.4222 1.17003 0.585017 0.811021i \(-0.301088\pi\)
0.585017 + 0.811021i \(0.301088\pi\)
\(198\) 5.21087 + 0.826336i 0.370320 + 0.0587251i
\(199\) 0.839396 + 0.484625i 0.0595032 + 0.0343542i 0.529456 0.848337i \(-0.322396\pi\)
−0.469953 + 0.882691i \(0.655729\pi\)
\(200\) 9.67243 + 8.23932i 0.683944 + 0.582608i
\(201\) −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
\(204\) −1.72623 + 3.74995i −0.120860 + 0.262549i
\(205\) 25.1892 14.5430i 1.75929 1.01573i
\(206\) −7.85184 15.7313i −0.547063 1.09605i
\(207\) −5.17348 + 7.24340i −0.359582 + 0.503451i
\(208\) −23.2566 5.75575i −1.61256 0.399089i
\(209\) −1.52741 −0.105653
\(210\) 19.8851 1.80436i 1.37220 0.124513i
\(211\) 9.99340i 0.687974i −0.938974 0.343987i \(-0.888222\pi\)
0.938974 0.343987i \(-0.111778\pi\)
\(212\) −12.6312 + 16.7924i −0.867514 + 1.15331i
\(213\) −2.27928 10.5135i −0.156174 0.720375i
\(214\) −12.1229 + 6.05081i −0.828703 + 0.413625i
\(215\) 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
\(219\) −17.0074 5.44995i −1.14925 0.368273i
\(220\) 0.927258 7.60639i 0.0625158 0.512822i
\(221\) −3.56891 + 6.18153i −0.240071 + 0.415815i
\(222\) 0.593127 + 0.738837i 0.0398081 + 0.0495875i
\(223\) 13.7534i 0.920996i 0.887661 + 0.460498i \(0.152329\pi\)
−0.887661 + 0.460498i \(0.847671\pi\)
\(224\) 9.42934 + 11.6227i 0.630024 + 0.776576i
\(225\) 1.30005 13.4139i 0.0866699 0.894259i
\(226\) −9.91010 0.601819i −0.659210 0.0400324i
\(227\) 4.13075 + 2.38489i 0.274167 + 0.158291i 0.630780 0.775962i \(-0.282735\pi\)
−0.356613 + 0.934252i \(0.616068\pi\)
\(228\) −2.45756 3.47327i −0.162756 0.230023i
\(229\) 0.743202 + 1.28726i 0.0491122 + 0.0850648i 0.889536 0.456864i \(-0.151027\pi\)
−0.840424 + 0.541929i \(0.817694\pi\)
\(230\) 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 \(0.357458\pi\)
\(234\) 9.10219 + 23.7255i 0.595029 + 1.55098i
\(235\) 17.8365 + 10.2979i 1.16352 + 0.671761i
\(236\) 5.95931 + 4.48257i 0.387918 + 0.291791i
\(237\) −14.9346 16.4520i −0.970108 1.06867i
\(238\) 4.10594 1.73886i 0.266148 0.112714i
\(239\) 21.6031i 1.39739i −0.715420 0.698695i \(-0.753765\pi\)
0.715420 0.698695i \(-0.246235\pi\)
\(240\) 18.7886 10.1299i 1.21280 0.653884i
\(241\) 3.38489 + 1.95427i 0.218040 + 0.125885i 0.605042 0.796193i \(-0.293156\pi\)
−0.387002 + 0.922079i \(0.626489\pi\)
\(242\) 11.9621 5.97056i 0.768953 0.383802i
\(243\) 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
\(246\) −3.52058 22.8551i −0.224464 1.45719i
\(247\) −3.67835 6.37109i −0.234048 0.405383i
\(248\) −2.83766 + 3.33122i −0.180191 + 0.211533i
\(249\) 1.91885 + 8.85097i 0.121602 + 0.560908i
\(250\) 2.20827 + 0.134104i 0.139664 + 0.00848147i
\(251\) 15.6528i 0.987995i −0.869463 0.493997i \(-0.835535\pi\)
0.869463 0.493997i \(-0.164465\pi\)
\(252\) 4.39112 15.2551i 0.276615 0.960981i
\(253\) 3.68974i 0.231972i
\(254\) −0.504696 + 8.31079i −0.0316675 + 0.521465i
\(255\) −1.34738 6.21501i −0.0843764 0.389199i
\(256\) 14.1531 + 7.46255i 0.884569 + 0.466409i
\(257\) 6.53148 + 11.3128i 0.407422 + 0.705676i 0.994600 0.103782i \(-0.0330944\pi\)
−0.587178 + 0.809458i \(0.699761\pi\)
\(258\) 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
\(261\) −8.73539 + 3.97437i −0.540707 + 0.246008i
\(262\) 2.68315 + 5.37573i 0.165766 + 0.332114i
\(263\) −26.2857 15.1761i −1.62085 0.935796i −0.986694 0.162586i \(-0.948016\pi\)
−0.634151 0.773209i \(-0.718650\pi\)
\(264\) −5.36939 2.87825i −0.330463 0.177144i
\(265\) 32.3695i 1.98844i
\(266\) −0.563845 + 4.56098i −0.0345716 + 0.279651i
\(267\) −16.1608 17.8028i −0.989027 1.08952i
\(268\) 19.8074 + 14.8990i 1.20993 + 0.910104i
\(269\) 0.684713 + 0.395319i 0.0417477 + 0.0241030i 0.520729 0.853722i \(-0.325660\pi\)
−0.478981 + 0.877825i \(0.658994\pi\)
\(270\) −20.2122 10.2005i −1.23007 0.620782i
\(271\) −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
\(276\) 8.39035 5.93670i 0.505040 0.357347i
\(277\) −15.4143 8.89945i −0.926156 0.534716i −0.0405619 0.999177i \(-0.512915\pi\)
−0.885594 + 0.464461i \(0.846248\pi\)
\(278\) 0.475524 7.83041i 0.0285200 0.469637i
\(279\) 4.61980 + 0.447742i 0.276580 + 0.0268056i
\(280\) −22.3711 5.57679i −1.33693 0.333277i
\(281\) 27.9140i 1.66521i 0.553866 + 0.832606i \(0.313152\pi\)
−0.553866 + 0.832606i \(0.686848\pi\)
\(282\) 12.7690 10.2508i 0.760384 0.610425i
\(283\) 1.81190 3.13830i 0.107706 0.186552i −0.807134 0.590368i \(-0.798983\pi\)
0.914841 + 0.403815i \(0.132316\pi\)
\(284\) −1.50318 + 12.3307i −0.0891972 + 0.731693i
\(285\) 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
\(288\) −2.09417 16.8409i −0.123400 0.992357i
\(289\) 7.78992 + 13.4925i 0.458230 + 0.793678i
\(290\) 6.22471 + 12.4713i 0.365527 + 0.732340i
\(291\) 6.29320 + 29.0284i 0.368914 + 1.70167i
\(292\) 16.4803 + 12.3964i 0.964435 + 0.725445i
\(293\) 9.77037i 0.570791i 0.958410 + 0.285396i \(0.0921250\pi\)
−0.958410 + 0.285396i \(0.907875\pi\)
\(294\) −14.6021 + 8.98770i −0.851612 + 0.524173i
\(295\) −11.4873 −0.668817
\(296\) −0.366535 1.03081i −0.0213044 0.0599143i
\(297\) 0.753496 + 6.41765i 0.0437223 + 0.372390i
\(298\) 5.24411 2.61746i 0.303783 0.151625i
\(299\) 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
\(303\) 5.47407 + 1.75414i 0.314477 + 0.100773i
\(304\) 1.36239 + 4.72033i 0.0781383 + 0.270730i
\(305\) 16.8892 + 9.75098i 0.967072 + 0.558339i
\(306\) −4.99359 0.791880i −0.285465 0.0452687i
\(307\) 9.56907 0.546136 0.273068 0.961995i \(-0.411962\pi\)
0.273068 + 0.961995i \(0.411962\pi\)
\(308\) 2.19411 + 6.20373i 0.125021 + 0.353491i
\(309\) 15.9439 14.4734i 0.907018 0.823361i
\(310\) 0.408620 6.72871i 0.0232081 0.382165i
\(311\) −8.85168 + 15.3316i −0.501933 + 0.869373i 0.498065 + 0.867140i \(0.334044\pi\)
−0.999998 + 0.00223345i \(0.999289\pi\)
\(312\) −0.925059 29.3282i −0.0523711 1.66038i
\(313\) −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 0.896672 0.442696i \(-0.145978\pi\)
−0.831722 + 0.555193i \(0.812645\pi\)
\(318\) −23.9865 9.32448i −1.34510 0.522891i
\(319\) 1.98908 3.44519i 0.111367 0.192893i
\(320\) −24.3340 + 3.91899i −1.36031 + 0.219078i
\(321\) −11.1535 12.2867i −0.622528 0.685779i
\(322\) −11.0179 1.36207i −0.614004 0.0759055i
\(323\) 1.46372 0.0814434
\(324\) −13.3812 + 12.0393i −0.743399 + 0.668848i
\(325\) −13.4533 + 23.3018i −0.746256 + 1.29255i
\(326\) 6.69613 + 13.4158i 0.370864 + 0.743032i
\(327\) −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
\(330\) 9.27545 1.42878i 0.510597 0.0786519i
\(331\) 20.7165 11.9607i 1.13868 0.657418i 0.192578 0.981282i \(-0.438315\pi\)
0.946104 + 0.323863i \(0.104982\pi\)
\(332\) 1.26547 10.3808i 0.0694519 0.569720i
\(333\) −0.674434 + 0.944277i −0.0369588 + 0.0517461i
\(334\) 1.33488 21.9814i 0.0730415 1.20277i
\(335\) −38.1812 −2.08606
\(336\) −10.5768 + 14.9710i −0.577014 + 0.816735i
\(337\) −25.6463 −1.39704 −0.698522 0.715589i \(-0.746159\pi\)
−0.698522 + 0.715589i \(0.746159\pi\)
\(338\) 1.96094 32.2906i 0.106661 1.75638i
\(339\) −2.57632 11.8836i −0.139926 0.645431i
\(340\) −0.888594 + 7.28922i −0.0481908 + 0.395313i
\(341\) −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
\(345\) −4.83173 + 15.0781i −0.260132 + 0.811779i
\(346\) 1.18001 + 2.36417i 0.0634377 + 0.127099i
\(347\) −0.473950 + 0.820906i −0.0254430 + 0.0440686i −0.878467 0.477804i \(-0.841433\pi\)
0.853024 + 0.521872i \(0.174766\pi\)
\(348\) 11.0346 1.02011i 0.591518 0.0546838i
\(349\) 14.1965 0.759919 0.379960 0.925003i \(-0.375938\pi\)
0.379960 + 0.925003i \(0.375938\pi\)
\(350\) 15.4777 6.55479i 0.827317 0.350368i
\(351\) −24.9546 + 18.5982i −1.33198 + 0.992697i
\(352\) 4.76376 + 5.17618i 0.253909 + 0.275891i
\(353\) 7.75978 13.4403i 0.413011 0.715356i −0.582206 0.813041i \(-0.697810\pi\)
0.995217 + 0.0976847i \(0.0311437\pi\)
\(354\) −3.30908 + 8.51236i −0.175876 + 0.452427i
\(355\) −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 \(0.211322\pi\)
\(360\) 18.1730 + 18.7932i 0.957800 + 0.990489i
\(361\) 8.74570 15.1480i 0.460300 0.797263i
\(362\) 1.42413 23.4510i 0.0748507 1.23256i
\(363\) 11.0056 + 12.1238i 0.577643 + 0.636334i
\(364\) −20.5930 + 24.0921i −1.07937 + 1.26277i
\(365\) −31.7678 −1.66280
\(366\) 12.0909 9.70636i 0.631999 0.507359i
\(367\) −11.5602 6.67430i −0.603439 0.348396i 0.166954 0.985965i \(-0.446607\pi\)
−0.770393 + 0.637569i \(0.779940\pi\)
\(368\) −11.4029 + 3.29111i −0.594415 + 0.171561i
\(369\) 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
\(372\) −4.86842 2.24110i −0.252416 0.116195i
\(373\) −4.56967 + 2.63830i −0.236609 + 0.136606i −0.613617 0.789604i \(-0.710286\pi\)
0.377008 + 0.926210i \(0.376953\pi\)
\(374\) 1.87521 0.935958i 0.0969646 0.0483972i
\(375\) 0.574082 + 2.64804i 0.0296455 + 0.136744i
\(376\) −17.8150 + 6.33468i −0.918738 + 0.326686i
\(377\) 19.1607 0.986824
\(378\) 19.4419 + 0.119079i 0.999981 + 0.00612475i
\(379\) 15.3619i 0.789086i 0.918877 + 0.394543i \(0.129097\pi\)
−0.918877 + 0.394543i \(0.870903\pi\)
\(380\) −6.04830 4.54951i −0.310271 0.233385i
\(381\) −9.96584 + 2.16054i −0.510565 + 0.110688i
\(382\) −0.285240 0.571482i −0.0145941 0.0292396i
\(383\) 1.35424 + 2.34561i 0.0691983 + 0.119855i 0.898549 0.438874i \(-0.144623\pi\)
−0.829350 + 0.558729i \(0.811289\pi\)
\(384\) −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
\(387\) 10.3000 + 22.6387i 0.523579 + 1.15079i
\(388\) 4.15035 34.0457i 0.210702 1.72841i
\(389\) 6.35306 11.0038i 0.322113 0.557916i −0.658811 0.752308i \(-0.728940\pi\)
0.980924 + 0.194393i \(0.0622736\pi\)
\(390\) 28.2972 + 35.2487i 1.43288 + 1.78489i
\(391\) 3.53589i 0.178817i
\(392\) 19.3349 4.26170i 0.976559 0.215248i
\(393\) −5.44840 + 4.94588i −0.274835 + 0.249487i
\(394\) 1.40778 23.1818i 0.0709229 1.16788i
\(395\) −34.2288 19.7620i −1.72224 0.994334i
\(396\) 1.61316 7.28489i 0.0810645 0.366080i
\(397\) 11.9617 + 20.7184i 0.600343 + 1.03982i 0.992769 + 0.120041i \(0.0383026\pi\)
−0.392426 + 0.919784i \(0.628364\pi\)
\(398\) 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 \(0.0951694\pi\)
\(402\) −10.9986 + 28.2931i −0.548562 + 1.41113i
\(403\) −8.02524 4.63338i −0.399766 0.230805i
\(404\) −5.30441 3.98996i −0.263904 0.198508i
\(405\) 5.32478 27.2125i 0.264590 1.35220i
\(406\) −9.55337 7.21137i −0.474126 0.357894i
\(407\) 0.481008i 0.0238427i
\(408\) 5.14550 + 2.75823i 0.254740 + 0.136553i
\(409\) 6.82328 + 3.93942i 0.337390 + 0.194792i 0.659117 0.752040i \(-0.270930\pi\)
−0.321727 + 0.946832i \(0.604263\pi\)
\(410\) −18.3698 36.8041i −0.907218 1.81763i
\(411\) −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
\(414\) 9.78138 + 7.92389i 0.480729 + 0.389438i
\(415\) 8.05487 + 13.9514i 0.395398 + 0.684849i
\(416\) −10.1185 + 32.3359i −0.496102 + 1.58540i
\(417\) 9.38980 2.03566i 0.459820 0.0996868i
\(418\) −0.130936 + 2.15611i −0.00640427 + 0.105459i
\(419\) 19.8589i 0.970173i −0.874466 0.485086i \(-0.838788\pi\)
0.874466 0.485086i \(-0.161212\pi\)
\(420\) −0.842425 28.2248i −0.0411062 1.37723i
\(421\) 16.6507i 0.811505i 0.913983 + 0.405753i \(0.132991\pi\)
−0.913983 + 0.405753i \(0.867009\pi\)
\(422\) −14.1068 0.856676i −0.686709 0.0417024i
\(423\) 16.3196 + 11.6560i 0.793484 + 0.566733i
\(424\) 22.6216 + 19.2699i 1.09860 + 0.935828i
\(425\) −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
\(429\) 3.93688 12.2856i 0.190074 0.593156i
\(430\) 32.3207 16.1320i 1.55864 0.777954i
\(431\) 19.8541 + 11.4628i 0.956339 + 0.552142i 0.895044 0.445977i \(-0.147144\pi\)
0.0612944 + 0.998120i \(0.480477\pi\)
\(432\) 19.1612 8.05293i 0.921892 0.387447i
\(433\) 10.5825i 0.508564i 0.967130 + 0.254282i \(0.0818392\pi\)
−0.967130 + 0.254282i \(0.918161\pi\)
\(434\) 2.25750 + 5.33058i 0.108363 + 0.255876i
\(435\) −12.6399 + 11.4741i −0.606035 + 0.550139i
\(436\) 0.942025 + 0.708588i 0.0451148 + 0.0339352i
\(437\) −3.15607 1.82216i −0.150975 0.0871656i
\(438\) −9.15116 + 23.5406i −0.437259 + 1.12482i
\(439\) −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 0.915198 0.403005i \(-0.132034\pi\)
−0.806611 + 0.591082i \(0.798701\pi\)
\(444\) 1.09380 0.773930i 0.0519093 0.0367291i
\(445\) −37.0392 21.3846i −1.75582 1.01373i
\(446\) 19.4145 + 1.17900i 0.919303 + 0.0558273i
\(447\) 4.82478 + 5.31500i 0.228204 + 0.251391i
\(448\) 17.2151 12.3142i 0.813337 0.581793i
\(449\) 4.33700i 0.204676i 0.994750 + 0.102338i \(0.0326323\pi\)
−0.994750 + 0.102338i \(0.967368\pi\)
\(450\) −18.8238 2.98506i −0.887361 0.140717i
\(451\) −5.86998 + 10.1671i −0.276406 + 0.478750i
\(452\) −1.69907 + 13.9376i −0.0799176 + 0.655572i
\(453\) 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
\(456\) −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 \(0.986339\pi\)
\(458\) 1.88083 0.938764i 0.0878853 0.0438656i
\(459\) −0.722078 6.15005i −0.0337037 0.287060i
\(460\) 10.9902 14.6108i 0.512421 0.681233i
\(461\) 25.3326i 1.17986i 0.807455 + 0.589929i \(0.200844\pi\)
−0.807455 + 0.589929i \(0.799156\pi\)
\(462\) −6.58676 + 4.64383i −0.306444 + 0.216051i
\(463\) 20.9574 0.973975 0.486988 0.873409i \(-0.338096\pi\)
0.486988 + 0.873409i \(0.338096\pi\)
\(464\) −12.4213 3.07412i −0.576643 0.142712i
\(465\) 8.06870 1.74925i 0.374177 0.0811197i
\(466\) 1.45992 + 2.92497i 0.0676293 + 0.135496i
\(467\) −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
\(471\) −3.39350 + 10.5899i −0.156364 + 0.487958i
\(472\) 6.83852 8.02797i 0.314768 0.369517i
\(473\) −8.92857 5.15491i −0.410536 0.237023i
\(474\) −24.5042 + 19.6716i −1.12551 + 0.903545i
\(475\) 5.51761 0.253165
\(476\) −2.10262 5.94505i −0.0963735 0.272491i
\(477\) 3.04051 31.3720i 0.139216 1.43643i
\(478\) −30.4952 1.85191i −1.39482 0.0847044i
\(479\) 17.0894 29.5997i 0.780835 1.35245i −0.150620 0.988592i \(-0.548127\pi\)
0.931456 0.363855i \(-0.118540\pi\)
\(480\) −12.6889 27.3906i −0.579166 1.25021i
\(481\) 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
\(486\) −18.6312 11.7847i −0.845127 0.534565i
\(487\) −12.3371 + 21.3684i −0.559046 + 0.968296i 0.438531 + 0.898716i \(0.355499\pi\)
−0.997576 + 0.0695795i \(0.977834\pi\)
\(488\) −16.8688 + 5.99825i −0.763616 + 0.271528i
\(489\) −13.5971 + 12.3430i −0.614884 + 0.558171i
\(490\) −19.8564 + 23.1509i −0.897021 + 1.04585i
\(491\) 43.3064 1.95439 0.977196 0.212339i \(-0.0681079\pi\)
0.977196 + 0.212339i \(0.0681079\pi\)
\(492\) −32.5643 + 3.01046i −1.46811 + 0.135722i
\(493\) −1.90614 + 3.30153i −0.0858482 + 0.148693i
\(494\) −9.30883 + 4.64625i −0.418824 + 0.209045i
\(495\) 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
\(498\) 12.6586 1.94993i 0.567247 0.0873783i
\(499\) −32.3258 + 18.6633i −1.44710 + 0.835485i −0.998308 0.0581497i \(-0.981480\pi\)
−0.448795 + 0.893635i \(0.648147\pi\)
\(500\) 0.378605 3.10573i 0.0169317 0.138893i
\(501\) 26.3589 5.71447i 1.17763 0.255304i
\(502\) −22.0957 1.34182i −0.986178 0.0598885i
\(503\) −34.2432 −1.52683 −0.763414 0.645910i \(-0.776478\pi\)
−0.763414 + 0.645910i \(0.776478\pi\)
\(504\) −21.1579 7.50629i −0.942447 0.334357i
\(505\) 10.2249 0.455003
\(506\) −5.20848 0.316300i −0.231545 0.0140612i
\(507\) 38.7211 8.39454i 1.71966 0.372814i
\(508\) 11.6884 + 1.42487i 0.518587 + 0.0632185i
\(509\) 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
\(513\) 5.86153 + 2.52481i 0.258793 + 0.111473i
\(514\) 16.5293 8.25013i 0.729075 0.363898i
\(515\) 19.1517 33.1716i 0.843923 1.46172i
\(516\) −2.64373 28.5974i −0.116384 1.25893i
\(517\) −8.31307 −0.365608
\(518\) −1.43634 0.177565i −0.0631089 0.00780177i
\(519\) −2.39612 + 2.17512i −0.105178 + 0.0954774i
\(520\) −17.4868 49.1781i −0.766848 2.15660i
\(521\) 8.13261 14.0861i 0.356296 0.617123i −0.631043 0.775748i \(-0.717373\pi\)
0.987339 + 0.158625i \(0.0507061\pi\)
\(522\) 4.86144 + 12.6717i 0.212780 + 0.554625i
\(523\) 6.98922 + 12.1057i 0.305617 + 0.529345i 0.977399 0.211405i \(-0.0678038\pi\)
−0.671781 + 0.740750i \(0.734470\pi\)
\(524\) 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
\(528\) −4.52326 + 7.33277i −0.196849 + 0.319118i
\(529\) −7.09824 + 12.2945i −0.308619 + 0.534544i
\(530\) −45.6932 2.77485i −1.98478 0.120532i
\(531\) −11.1333 1.07902i −0.483145 0.0468255i
\(532\) 6.39000 + 1.18692i 0.277042 + 0.0514594i
\(533\) −56.5451 −2.44924
\(534\) −26.5161 + 21.2867i −1.14746 + 0.921166i
\(535\) −25.5628 14.7587i −1.10518 0.638074i
\(536\) 22.7297 26.6831i 0.981771 1.15254i
\(537\) −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
\(540\) −16.1318 + 27.6573i −0.694203 + 1.19018i
\(541\) −18.9287 + 10.9285i −0.813810 + 0.469853i −0.848277 0.529552i \(-0.822360\pi\)
0.0344673 + 0.999406i \(0.489027\pi\)
\(542\) 3.61087 + 7.23443i 0.155100 + 0.310746i
\(543\) 28.1212 6.09653i 1.20680 0.261627i
\(544\) −4.56512 4.96034i −0.195728 0.212673i
\(545\) −1.81587 −0.0777834
\(546\) −35.2327 16.2912i −1.50782 0.697198i
\(547\) 9.11111i 0.389563i 0.980847 + 0.194782i \(0.0623998\pi\)
−0.980847 + 0.194782i \(0.937600\pi\)
\(548\) 1.24546 + 0.936833i 0.0532035 + 0.0400195i
\(549\) 15.4528 + 11.0369i 0.659510 + 0.471044i
\(550\) 7.06876 3.52818i 0.301413 0.150442i
\(551\) −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
\(555\) −0.629882 + 1.96564i −0.0267370 + 0.0834369i
\(556\) −11.0127 1.34251i −0.467044 0.0569352i
\(557\) −2.14436 + 3.71415i −0.0908596 + 0.157373i −0.907873 0.419245i \(-0.862295\pi\)
0.817013 + 0.576619i \(0.195628\pi\)
\(558\) 1.02807 6.48298i 0.0435215 0.274447i
\(559\) 49.6569i 2.10026i
\(560\) −9.79002 + 31.1012i −0.413704 + 1.31427i
\(561\) 1.72526 + 1.90055i 0.0728406 + 0.0802414i
\(562\) 39.4038 + 2.39291i 1.66215 + 0.100939i
\(563\) 27.2512 + 15.7335i 1.14850 + 0.663087i 0.948521 0.316713i \(-0.102579\pi\)
0.199979 + 0.979800i \(0.435913\pi\)
\(564\) −13.3755 18.9037i −0.563211 0.795988i
\(565\) −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 \(0.400283\pi\)
\(570\) 3.35850 8.63948i 0.140672 0.361868i
\(571\) −29.5465 17.0587i −1.23648 0.713883i −0.268108 0.963389i \(-0.586399\pi\)
−0.968373 + 0.249506i \(0.919732\pi\)
\(572\) −8.95480 + 11.9049i −0.374419 + 0.497768i
\(573\) 0.579206 0.525785i 0.0241967 0.0219650i
\(574\) 28.1930 + 21.2815i 1.17675 + 0.888273i
\(575\) 13.3288i 0.555851i
\(576\) −23.9523 + 1.51249i −0.998012 + 0.0630205i
\(577\) 0.843668 + 0.487092i 0.0351224 + 0.0202779i 0.517458 0.855708i \(-0.326878\pi\)
−0.482336 + 0.875986i \(0.660212\pi\)
\(578\) 19.7140 9.83971i 0.819995 0.409278i
\(579\) 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
\(582\) 41.5163 6.39514i 1.72091 0.265087i
\(583\) 6.53263 + 11.3149i 0.270554 + 0.468613i
\(584\) 18.9117 22.2011i 0.782571 0.918688i
\(585\) −32.1762 + 45.0499i −1.33032 + 1.86259i
\(586\) 13.7920 + 0.837557i 0.569741 + 0.0345992i
\(587\) 25.9212i 1.06988i −0.844890 0.534940i \(-0.820334\pi\)
0.844890 0.534940i \(-0.179666\pi\)
\(588\) 11.4354 + 21.3830i 0.471588 + 0.881819i
\(589\) 1.90029i 0.0782999i
\(590\) −0.984741 + 16.2156i −0.0405412 + 0.667588i
\(591\) 27.7983 6.02654i 1.14347 0.247899i
\(592\) −1.48652 + 0.429041i −0.0610956 + 0.0176335i
\(593\) −22.1118 38.2987i −0.908022 1.57274i −0.816808 0.576909i \(-0.804259\pi\)
−0.0912135 0.995831i \(-0.529075\pi\)
\(594\) 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
\(597\) 1.59871 + 0.512302i 0.0654310 + 0.0209671i
\(598\) −11.2239 22.4872i −0.458979 0.919572i
\(599\) 8.58632 + 4.95731i 0.350827 + 0.202550i 0.665050 0.746799i \(-0.268410\pi\)
−0.314222 + 0.949349i \(0.601744\pi\)
\(600\) 19.3964 + 10.3974i 0.791855 + 0.424472i
\(601\) 11.8235i 0.482292i −0.970489 0.241146i \(-0.922477\pi\)
0.970489 0.241146i \(-0.0775233\pi\)
\(602\) −18.6890 + 24.7586i −0.761709 + 1.00908i
\(603\) −37.0046 3.58642i −1.50695 0.146050i
\(604\) −5.20539 + 6.92025i −0.211804 + 0.281581i
\(605\) 25.2238 + 14.5630i 1.02549 + 0.592069i
\(606\) 2.94543 7.57689i 0.119650 0.307790i
\(607\) 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
\(612\) −1.54590 + 6.98113i −0.0624893 + 0.282196i
\(613\) 17.5740 + 10.1463i 0.709805 + 0.409806i 0.810989 0.585061i \(-0.198930\pi\)
−0.101184 + 0.994868i \(0.532263\pi\)
\(614\) 0.820301 13.5078i 0.0331047 0.545131i
\(615\) 37.3016 33.8612i 1.50414 1.36541i
\(616\) 8.94536 2.56542i 0.360419 0.103364i
\(617\) 26.7202i 1.07571i 0.843036 + 0.537856i \(0.180766\pi\)
−0.843036 + 0.537856i \(0.819234\pi\)
\(618\) −19.0640 23.7474i −0.766867 0.955259i
\(619\) −7.12358 + 12.3384i −0.286321 + 0.495922i −0.972929 0.231106i \(-0.925766\pi\)
0.686608 + 0.727028i \(0.259099\pi\)
\(620\) −9.46331 1.15363i −0.380056 0.0463308i
\(621\) −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
\(624\) −41.4794 1.20831i −1.66050 0.0483712i
\(625\) 13.6405 + 23.6260i 0.545619 + 0.945040i
\(626\) 7.24495 + 14.5154i 0.289566 + 0.580151i
\(627\) −2.58548 + 0.560520i −0.103254 + 0.0223850i
\(628\) 7.71883 10.2617i 0.308015 0.409487i
\(629\) 0.460951i 0.0183793i
\(630\) 32.9980 10.3516i 1.31467 0.412419i
\(631\) −13.9775 −0.556436 −0.278218 0.960518i \(-0.589744\pi\)
−0.278218 + 0.960518i \(0.589744\pi\)
\(632\) 34.1875 12.1565i 1.35991 0.483558i
\(633\) −3.66733 16.9161i −0.145763 0.672355i
\(634\) 2.92651 1.46069i 0.116227 0.0580113i
\(635\) −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
\(639\) −7.71641 16.9601i −0.305256 0.670932i
\(640\) 3.44608 + 34.6862i 0.136218 + 1.37109i
\(641\) −6.31225 3.64438i −0.249319 0.143944i 0.370133 0.928979i \(-0.379312\pi\)
−0.619452 + 0.785034i \(0.712645\pi\)
\(642\) −18.3003 + 14.6912i −0.722254 + 0.579814i
\(643\) 25.1189 0.990594 0.495297 0.868724i \(-0.335059\pi\)
0.495297 + 0.868724i \(0.335059\pi\)
\(644\) −2.86722 + 15.4362i −0.112984 + 0.608273i
\(645\) 29.7363 + 32.7576i 1.17086 + 1.28983i
\(646\) 0.125476 2.06620i 0.00493679 0.0812936i
\(647\) −20.2246 + 35.0301i −0.795112 + 1.37717i 0.127657 + 0.991818i \(0.459254\pi\)
−0.922768 + 0.385355i \(0.874079\pi\)
\(648\) 15.8477 + 19.9211i 0.622556 + 0.782575i
\(649\) 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 \(-0.835775\pi\)
0.00767187 0.999971i \(-0.497558\pi\)
\(654\) −0.523087 + 1.34560i −0.0204543 + 0.0526172i
\(655\) −6.54455 + 11.3355i −0.255717 + 0.442915i
\(656\) 36.6565 + 9.07205i 1.43119 + 0.354204i
\(657\) −30.7889 2.98400i −1.20119 0.116417i
\(658\) −3.06879 + 24.8236i −0.119634 + 0.967724i
\(659\) −5.89051 −0.229462 −0.114731 0.993397i \(-0.536601\pi\)
−0.114731 + 0.993397i \(0.536601\pi\)
\(660\) −1.22176 13.2158i −0.0475568 0.514425i
\(661\) 21.0993 36.5450i 0.820667 1.42144i −0.0845192 0.996422i \(-0.526935\pi\)
0.905186 0.425015i \(-0.139731\pi\)
\(662\) −15.1079 30.2690i −0.587187 1.17644i
\(663\) −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
\(666\) 1.27514 + 1.03299i 0.0494106 + 0.0400275i
\(667\) 8.22004 4.74584i 0.318281 0.183760i
\(668\) −30.9148 3.76868i −1.19613 0.145814i
\(669\) 5.04716 + 23.2808i 0.195134 + 0.900087i
\(670\) −3.27305 + 53.8971i −0.126449 + 2.08223i
\(671\) −7.87156 −0.303878
\(672\) 20.2266 + 16.2138i 0.780256 + 0.625460i
\(673\) −46.7729 −1.80296 −0.901481 0.432818i \(-0.857519\pi\)
−0.901481 + 0.432818i \(0.857519\pi\)
\(674\) −2.19851 + 36.2027i −0.0846834 + 1.39447i
\(675\) −2.72193 23.1832i −0.104767 0.892320i
\(676\) −45.4137 5.53617i −1.74668 0.212930i
\(677\) −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
\(681\) 7.86743 + 2.52109i 0.301481 + 0.0966083i
\(682\) 1.21512 + 2.43451i 0.0465293 + 0.0932221i
\(683\) −17.1346 + 29.6781i −0.655638 + 1.13560i 0.326095 + 0.945337i \(0.394267\pi\)
−0.981733 + 0.190262i \(0.939066\pi\)
\(684\) −5.43458 4.97745i −0.207796 0.190317i
\(685\) −2.40079 −0.0917293
\(686\) 6.42133 25.3923i 0.245168 0.969481i
\(687\) 1.73043 + 1.90625i 0.0660201 + 0.0727280i
\(688\) −7.96691 + 32.1911i −0.303736 + 1.22727i
\(689\) −31.4642 + 54.4976i −1.19869 + 2.07619i
\(690\) 20.8703 + 8.11309i 0.794519 + 0.308860i
\(691\) −3.57575 6.19338i −0.136028 0.235607i 0.789962 0.613156i \(-0.210100\pi\)
−0.925990 + 0.377549i \(0.876767\pi\)
\(692\) 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
\(696\) −0.494070 15.6641i −0.0187277 0.593745i
\(697\) 5.62522 9.74316i 0.213070 0.369048i
\(698\) 1.21698 20.0399i 0.0460634 0.758522i
\(699\) −2.96450 + 2.69108i −0.112128 + 0.101786i
\(700\) −7.92602 22.4104i −0.299575 0.847034i
\(701\) 12.4116 0.468778 0.234389 0.972143i \(-0.424691\pi\)
0.234389 + 0.972143i \(0.424691\pi\)
\(702\) 24.1142 + 36.8205i 0.910132 + 1.38970i
\(703\) −0.411437 0.237543i −0.0155176 0.00895911i
\(704\) 7.71513 6.28086i 0.290775 0.236719i
\(705\) 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
\(708\) 11.7325 + 5.40086i 0.440934 + 0.202977i
\(709\) −30.5908 + 17.6616i −1.14886 + 0.663295i −0.948609 0.316450i \(-0.897509\pi\)
−0.200251 + 0.979745i \(0.564176\pi\)
\(710\) −24.2135 + 12.0855i −0.908718 + 0.453561i
\(711\) −31.3177 22.3682i −1.17451 0.838872i
\(712\) 36.9945 13.1546i 1.38643 0.492988i
\(713\) −4.59050 −0.171916
\(714\) 6.31211 4.45020i 0.236225 0.166544i
\(715\) 22.9481i 0.858211i
\(716\) 18.5897 24.7139i 0.694730 0.923601i
\(717\) −7.92780 36.5682i −0.296069 1.36566i
\(718\) −8.95073 17.9329i −0.334038 0.669251i
\(719\) −12.1803 21.0969i −0.454250 0.786783i 0.544395 0.838829i \(-0.316759\pi\)
−0.998645 + 0.0520455i \(0.983426\pi\)
\(720\) 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
\(723\) 6.44687 + 2.06587i 0.239762 + 0.0768307i
\(724\) −32.9817 4.02064i −1.22576 0.149426i
\(725\) −7.18536 + 12.4454i −0.266858 + 0.462211i
\(726\) 18.0575 14.4963i 0.670178 0.538009i
\(727\) 5.15142i 0.191055i 0.995427 + 0.0955277i \(0.0304539\pi\)
−0.995427 + 0.0955277i \(0.969546\pi\)
\(728\) 32.2434 + 31.1346i 1.19502 + 1.15392i
\(729\) 7.71680 25.8738i 0.285807 0.958287i
\(730\) −2.72327 + 44.8438i −0.100793 + 1.65975i
\(731\) 8.55627 + 4.93997i 0.316465 + 0.182711i
\(732\) −12.6651 17.8997i −0.468117 0.661591i
\(733\) 3.74171 + 6.48083i 0.138203 + 0.239375i 0.926817 0.375514i \(-0.122534\pi\)
−0.788613 + 0.614889i \(0.789201\pi\)
\(734\) −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
\(738\) −14.3466 37.3955i −0.528107 1.37655i
\(739\) 2.26360 + 1.30689i 0.0832679 + 0.0480747i 0.541056 0.840987i \(-0.318025\pi\)
−0.457788 + 0.889061i \(0.651358\pi\)
\(740\) 1.43273 1.90472i 0.0526680 0.0700190i
\(741\) −8.56448 9.43466i −0.314624 0.346591i
\(742\) 36.1987 15.3302i 1.32890 0.562788i
\(743\) 23.6093i 0.866140i 0.901360 + 0.433070i \(0.142570\pi\)
−0.901360 + 0.433070i \(0.857430\pi\)
\(744\) −3.58090 + 6.68020i −0.131282 + 0.244908i
\(745\) 11.0580 + 6.38431i 0.405132 + 0.233903i
\(746\) 3.33253 + 6.67677i 0.122012 + 0.244454i
\(747\) 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
\(750\) 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 \(0.827467\pi\)
\(752\) 7.41494 + 25.6909i 0.270395 + 0.936851i
\(753\) −5.74418 26.4959i −0.209330 0.965564i
\(754\) 1.64253 27.0474i 0.0598175 0.985010i
\(755\) 13.3397i 0.485480i
\(756\) 1.83473 27.4342i 0.0667285 0.997771i
\(757\) 11.1837i 0.406478i −0.979129 0.203239i \(-0.934853\pi\)
0.979129 0.203239i \(-0.0651469\pi\)
\(758\) 21.6850 + 1.31688i 0.787635 + 0.0478314i
\(759\) −1.35404 6.24572i −0.0491486 0.226705i
\(760\) −6.94064 + 8.14786i −0.251763 + 0.295554i
\(761\) 3.99009 + 6.91104i 0.144641 + 0.250525i 0.929239 0.369480i \(-0.120464\pi\)
−0.784598 + 0.620005i \(0.787131\pi\)
\(762\) 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
\(765\) −4.56150 10.0259i −0.164922 0.362486i
\(766\) 3.42718 1.71058i 0.123829 0.0618059i
\(767\) 19.3402 + 11.1661i 0.698333 + 0.403183i
\(768\) 26.6959 + 7.43822i 0.963306 + 0.268404i
\(769\) 11.8900i 0.428766i 0.976750 + 0.214383i \(0.0687740\pi\)
−0.976750 + 0.214383i \(0.931226\pi\)
\(770\) −8.63684 + 11.4418i −0.311250 + 0.412333i
\(771\) 15.2075 + 16.7527i 0.547686 + 0.603333i
\(772\) −2.06613 + 2.74679i −0.0743615 + 0.0988591i
\(773\) 31.4449 + 18.1547i