Properties

Label 144.2.u.a.131.10
Level $144$
Weight $2$
Character 144.131
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 131.10
Character \(\chi\) \(=\) 144.131
Dual form 144.2.u.a.11.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.354608 - 1.36903i) q^{2} +(-0.874828 + 1.49488i) q^{3} +(-1.74851 + 0.970941i) q^{4} +(1.76649 - 0.473330i) q^{5} +(2.35677 + 0.667570i) q^{6} +(1.40613 + 2.43549i) q^{7} +(1.94929 + 2.04946i) q^{8} +(-1.46935 - 2.61553i) q^{9} +O(q^{10})\) \(q+(-0.354608 - 1.36903i) q^{2} +(-0.874828 + 1.49488i) q^{3} +(-1.74851 + 0.970941i) q^{4} +(1.76649 - 0.473330i) q^{5} +(2.35677 + 0.667570i) q^{6} +(1.40613 + 2.43549i) q^{7} +(1.94929 + 2.04946i) q^{8} +(-1.46935 - 2.61553i) q^{9} +(-1.27442 - 2.25054i) q^{10} +(5.79446 + 1.55262i) q^{11} +(0.0781971 - 3.46322i) q^{12} +(-1.10810 + 0.296913i) q^{13} +(2.83565 - 2.78869i) q^{14} +(-0.837802 + 3.05478i) q^{15} +(2.11455 - 3.39539i) q^{16} -0.699378i q^{17} +(-3.05970 + 2.93908i) q^{18} +(-2.01481 + 2.01481i) q^{19} +(-2.62914 + 2.54278i) q^{20} +(-4.87090 - 0.0286324i) q^{21} +(0.0708264 - 8.48338i) q^{22} +(-4.91498 - 2.83767i) q^{23} +(-4.76899 + 1.12103i) q^{24} +(-1.43368 + 0.827735i) q^{25} +(0.799424 + 1.41173i) q^{26} +(5.19534 + 0.0916271i) q^{27} +(-4.82335 - 2.89320i) q^{28} +(5.41802 + 1.45175i) q^{29} +(4.47919 + 0.0637289i) q^{30} +(-5.15522 - 2.97637i) q^{31} +(-5.39824 - 1.69085i) q^{32} +(-7.39014 + 7.30377i) q^{33} +(-0.957472 + 0.248005i) q^{34} +(3.63671 + 3.63671i) q^{35} +(5.10870 + 3.14662i) q^{36} +(3.48490 - 3.48490i) q^{37} +(3.47280 + 2.04387i) q^{38} +(0.525542 - 1.91622i) q^{39} +(4.41347 + 2.69770i) q^{40} +(1.55998 - 2.70196i) q^{41} +(1.68806 + 6.67858i) q^{42} +(-1.90129 + 7.09570i) q^{43} +(-11.6392 + 2.91131i) q^{44} +(-3.83361 - 3.92482i) q^{45} +(-2.14197 + 7.73504i) q^{46} +(-2.83634 - 4.91269i) q^{47} +(3.22585 + 6.13138i) q^{48} +(-0.454420 + 0.787079i) q^{49} +(1.64159 + 1.66923i) q^{50} +(1.04549 + 0.611835i) q^{51} +(1.64923 - 1.59505i) q^{52} +(-4.45605 - 4.45605i) q^{53} +(-1.71687 - 7.14509i) q^{54} +10.9708 q^{55} +(-2.25049 + 7.62929i) q^{56} +(-1.24929 - 4.77451i) q^{57} +(0.0662251 - 7.93225i) q^{58} +(-3.65938 - 13.6570i) q^{59} +(-1.50111 - 6.15476i) q^{60} +(3.54643 - 13.2354i) q^{61} +(-2.24666 + 8.11312i) q^{62} +(4.30400 - 7.25638i) q^{63} +(-0.400567 + 7.98997i) q^{64} +(-1.81690 + 1.04899i) q^{65} +(12.6197 + 7.52738i) q^{66} +(3.45542 + 12.8958i) q^{67} +(0.679055 + 1.22287i) q^{68} +(8.54175 - 4.86486i) q^{69} +(3.68917 - 6.26839i) q^{70} -7.21910i q^{71} +(2.49623 - 8.10980i) q^{72} +3.75535i q^{73} +(-6.00671 - 3.53517i) q^{74} +(0.0168548 - 2.86731i) q^{75} +(1.56664 - 5.47916i) q^{76} +(4.36638 + 16.2956i) q^{77} +(-2.80973 - 0.0399763i) q^{78} +(-2.96345 + 1.71095i) q^{79} +(2.12818 - 6.99881i) q^{80} +(-4.68200 + 7.68628i) q^{81} +(-4.25226 - 1.17752i) q^{82} +(0.308735 - 1.15222i) q^{83} +(8.54460 - 4.67930i) q^{84} +(-0.331036 - 1.23544i) q^{85} +(10.3885 + 0.0867317i) q^{86} +(-6.91004 + 6.82927i) q^{87} +(8.11303 + 14.9020i) q^{88} +0.391835 q^{89} +(-4.01378 + 6.64011i) q^{90} +(-2.28126 - 2.28126i) q^{91} +(11.3491 + 0.189517i) q^{92} +(8.95925 - 5.10265i) q^{93} +(-5.71984 + 5.62513i) q^{94} +(-2.60547 + 4.51280i) q^{95} +(7.25015 - 6.59054i) q^{96} +(-0.875387 - 1.51622i) q^{97} +(1.23868 + 0.343012i) q^{98} +(-4.45318 - 17.4369i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} + O(q^{10}) \) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27} + 8 q^{28} - 6 q^{29} - 34 q^{30} - 6 q^{32} - 8 q^{33} + 2 q^{34} - 26 q^{36} - 8 q^{37} - 6 q^{38} - 32 q^{39} - 2 q^{40} + 48 q^{42} - 2 q^{43} + 6 q^{45} - 40 q^{46} + 42 q^{48} - 24 q^{49} + 72 q^{50} - 12 q^{51} - 2 q^{52} - 38 q^{54} - 16 q^{55} + 36 q^{56} + 16 q^{58} - 42 q^{59} + 70 q^{60} - 2 q^{61} - 44 q^{64} - 12 q^{65} + 104 q^{66} - 2 q^{67} + 96 q^{68} - 10 q^{69} - 16 q^{70} - 10 q^{72} + 78 q^{74} - 56 q^{75} - 14 q^{76} - 6 q^{77} + 12 q^{78} - 8 q^{81} - 36 q^{82} + 54 q^{83} + 158 q^{84} + 8 q^{85} + 54 q^{86} + 48 q^{87} + 22 q^{88} + 64 q^{90} + 20 q^{91} + 108 q^{92} - 34 q^{93} + 6 q^{94} - 58 q^{96} - 4 q^{97} + 46 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.354608 1.36903i −0.250746 0.968053i
\(3\) −0.874828 + 1.49488i −0.505082 + 0.863071i
\(4\) −1.74851 + 0.970941i −0.874253 + 0.485471i
\(5\) 1.76649 0.473330i 0.789999 0.211679i 0.158810 0.987309i \(-0.449234\pi\)
0.631188 + 0.775630i \(0.282568\pi\)
\(6\) 2.35677 + 0.667570i 0.962146 + 0.272534i
\(7\) 1.40613 + 2.43549i 0.531468 + 0.920530i 0.999325 + 0.0367260i \(0.0116929\pi\)
−0.467857 + 0.883804i \(0.654974\pi\)
\(8\) 1.94929 + 2.04946i 0.689177 + 0.724593i
\(9\) −1.46935 2.61553i −0.489784 0.871844i
\(10\) −1.27442 2.25054i −0.403006 0.711683i
\(11\) 5.79446 + 1.55262i 1.74710 + 0.468133i 0.984002 0.178156i \(-0.0570130\pi\)
0.763093 + 0.646288i \(0.223680\pi\)
\(12\) 0.0781971 3.46322i 0.0225736 0.999745i
\(13\) −1.10810 + 0.296913i −0.307330 + 0.0823489i −0.409188 0.912450i \(-0.634188\pi\)
0.101858 + 0.994799i \(0.467521\pi\)
\(14\) 2.83565 2.78869i 0.757858 0.745309i
\(15\) −0.837802 + 3.05478i −0.216320 + 0.788741i
\(16\) 2.11455 3.39539i 0.528636 0.848848i
\(17\) 0.699378i 0.169624i −0.996397 0.0848120i \(-0.972971\pi\)
0.996397 0.0848120i \(-0.0270290\pi\)
\(18\) −3.05970 + 2.93908i −0.721179 + 0.692748i
\(19\) −2.01481 + 2.01481i −0.462228 + 0.462228i −0.899385 0.437157i \(-0.855985\pi\)
0.437157 + 0.899385i \(0.355985\pi\)
\(20\) −2.62914 + 2.54278i −0.587894 + 0.568583i
\(21\) −4.87090 0.0286324i −1.06292 0.00624810i
\(22\) 0.0708264 8.48338i 0.0151002 1.80866i
\(23\) −4.91498 2.83767i −1.02485 0.591695i −0.109341 0.994004i \(-0.534874\pi\)
−0.915504 + 0.402310i \(0.868208\pi\)
\(24\) −4.76899 + 1.12103i −0.973466 + 0.228830i
\(25\) −1.43368 + 0.827735i −0.286736 + 0.165547i
\(26\) 0.799424 + 1.41173i 0.156780 + 0.276863i
\(27\) 5.19534 + 0.0916271i 0.999845 + 0.0176336i
\(28\) −4.82335 2.89320i −0.911528 0.546764i
\(29\) 5.41802 + 1.45175i 1.00610 + 0.269584i 0.723999 0.689801i \(-0.242302\pi\)
0.282101 + 0.959385i \(0.408969\pi\)
\(30\) 4.47919 + 0.0637289i 0.817784 + 0.0116353i
\(31\) −5.15522 2.97637i −0.925905 0.534572i −0.0403909 0.999184i \(-0.512860\pi\)
−0.885514 + 0.464612i \(0.846194\pi\)
\(32\) −5.39824 1.69085i −0.954284 0.298903i
\(33\) −7.39014 + 7.30377i −1.28646 + 1.27142i
\(34\) −0.957472 + 0.248005i −0.164205 + 0.0425325i
\(35\) 3.63671 + 3.63671i 0.614717 + 0.614717i
\(36\) 5.10870 + 3.14662i 0.851450 + 0.524436i
\(37\) 3.48490 3.48490i 0.572913 0.572913i −0.360028 0.932941i \(-0.617233\pi\)
0.932941 + 0.360028i \(0.117233\pi\)
\(38\) 3.47280 + 2.04387i 0.563363 + 0.331559i
\(39\) 0.525542 1.91622i 0.0841540 0.306841i
\(40\) 4.41347 + 2.69770i 0.697830 + 0.426543i
\(41\) 1.55998 2.70196i 0.243628 0.421975i −0.718117 0.695922i \(-0.754996\pi\)
0.961745 + 0.273947i \(0.0883292\pi\)
\(42\) 1.68806 + 6.67858i 0.260474 + 1.03053i
\(43\) −1.90129 + 7.09570i −0.289944 + 1.08208i 0.655207 + 0.755450i \(0.272581\pi\)
−0.945151 + 0.326635i \(0.894085\pi\)
\(44\) −11.6392 + 2.91131i −1.75467 + 0.438897i
\(45\) −3.83361 3.92482i −0.571480 0.585078i
\(46\) −2.14197 + 7.73504i −0.315816 + 1.14047i
\(47\) −2.83634 4.91269i −0.413723 0.716589i 0.581570 0.813496i \(-0.302438\pi\)
−0.995293 + 0.0969068i \(0.969105\pi\)
\(48\) 3.22585 + 6.13138i 0.465612 + 0.884989i
\(49\) −0.454420 + 0.787079i −0.0649172 + 0.112440i
\(50\) 1.64159 + 1.66923i 0.232156 + 0.236065i
\(51\) 1.04549 + 0.611835i 0.146398 + 0.0856741i
\(52\) 1.64923 1.59505i 0.228706 0.221194i
\(53\) −4.45605 4.45605i −0.612086 0.612086i 0.331403 0.943489i \(-0.392478\pi\)
−0.943489 + 0.331403i \(0.892478\pi\)
\(54\) −1.71687 7.14509i −0.233637 0.972324i
\(55\) 10.9708 1.47930
\(56\) −2.25049 + 7.62929i −0.300734 + 1.01951i
\(57\) −1.24929 4.77451i −0.165473 0.632399i
\(58\) 0.0662251 7.93225i 0.00869578 1.04156i
\(59\) −3.65938 13.6570i −0.476411 1.77799i −0.615963 0.787775i \(-0.711233\pi\)
0.139552 0.990215i \(-0.455434\pi\)
\(60\) −1.50111 6.15476i −0.193792 0.794576i
\(61\) 3.54643 13.2354i 0.454074 1.69463i −0.236724 0.971577i \(-0.576074\pi\)
0.690797 0.723048i \(-0.257260\pi\)
\(62\) −2.24666 + 8.11312i −0.285327 + 1.03037i
\(63\) 4.30400 7.25638i 0.542253 0.914219i
\(64\) −0.400567 + 7.98997i −0.0500709 + 0.998746i
\(65\) −1.81690 + 1.04899i −0.225359 + 0.130111i
\(66\) 12.6197 + 7.52738i 1.55338 + 0.926556i
\(67\) 3.45542 + 12.8958i 0.422146 + 1.57547i 0.770077 + 0.637952i \(0.220218\pi\)
−0.347930 + 0.937520i \(0.613115\pi\)
\(68\) 0.679055 + 1.22287i 0.0823475 + 0.148294i
\(69\) 8.54175 4.86486i 1.02831 0.585660i
\(70\) 3.68917 6.26839i 0.440940 0.749216i
\(71\) 7.21910i 0.856749i −0.903601 0.428375i \(-0.859086\pi\)
0.903601 0.428375i \(-0.140914\pi\)
\(72\) 2.49623 8.10980i 0.294184 0.955749i
\(73\) 3.75535i 0.439531i 0.975553 + 0.219765i \(0.0705292\pi\)
−0.975553 + 0.219765i \(0.929471\pi\)
\(74\) −6.00671 3.53517i −0.698266 0.410955i
\(75\) 0.0168548 2.86731i 0.00194622 0.331088i
\(76\) 1.56664 5.47916i 0.179706 0.628502i
\(77\) 4.36638 + 16.2956i 0.497596 + 1.85705i
\(78\) −2.80973 0.0399763i −0.318140 0.00452642i
\(79\) −2.96345 + 1.71095i −0.333415 + 0.192497i −0.657356 0.753580i \(-0.728325\pi\)
0.323942 + 0.946077i \(0.394992\pi\)
\(80\) 2.12818 6.99881i 0.237938 0.782490i
\(81\) −4.68200 + 7.68628i −0.520223 + 0.854031i
\(82\) −4.25226 1.17752i −0.469583 0.130036i
\(83\) 0.308735 1.15222i 0.0338881 0.126472i −0.946910 0.321500i \(-0.895813\pi\)
0.980798 + 0.195028i \(0.0624797\pi\)
\(84\) 8.54460 4.67930i 0.932293 0.510553i
\(85\) −0.331036 1.23544i −0.0359059 0.134003i
\(86\) 10.3885 + 0.0867317i 1.12022 + 0.00935252i
\(87\) −6.91004 + 6.82927i −0.740834 + 0.732175i
\(88\) 8.11303 + 14.9020i 0.864852 + 1.58856i
\(89\) 0.391835 0.0415344 0.0207672 0.999784i \(-0.493389\pi\)
0.0207672 + 0.999784i \(0.493389\pi\)
\(90\) −4.01378 + 6.64011i −0.423090 + 0.699929i
\(91\) −2.28126 2.28126i −0.239141 0.239141i
\(92\) 11.3491 + 0.189517i 1.18322 + 0.0197585i
\(93\) 8.95925 5.10265i 0.929031 0.529120i
\(94\) −5.71984 + 5.62513i −0.589957 + 0.580188i
\(95\) −2.60547 + 4.51280i −0.267315 + 0.463004i
\(96\) 7.25015 6.59054i 0.739966 0.672644i
\(97\) −0.875387 1.51622i −0.0888821 0.153948i 0.818157 0.574995i \(-0.194996\pi\)
−0.907039 + 0.421047i \(0.861663\pi\)
\(98\) 1.23868 + 0.343012i 0.125125 + 0.0346494i
\(99\) −4.45318 17.4369i −0.447561 1.75248i
\(100\) 1.70311 2.83932i 0.170311 0.283932i
\(101\) −0.218761 + 0.816427i −0.0217675 + 0.0812375i −0.975955 0.217971i \(-0.930056\pi\)
0.954188 + 0.299209i \(0.0967227\pi\)
\(102\) 0.466884 1.64827i 0.0462284 0.163203i
\(103\) −5.30341 + 9.18577i −0.522560 + 0.905101i 0.477095 + 0.878852i \(0.341690\pi\)
−0.999655 + 0.0262492i \(0.991644\pi\)
\(104\) −2.76851 1.69223i −0.271474 0.165937i
\(105\) −8.61796 + 2.25496i −0.841026 + 0.220062i
\(106\) −4.52033 + 7.68064i −0.439054 + 0.746010i
\(107\) −6.39894 + 6.39894i −0.618609 + 0.618609i −0.945174 0.326566i \(-0.894109\pi\)
0.326566 + 0.945174i \(0.394109\pi\)
\(108\) −9.17305 + 4.88416i −0.882678 + 0.469979i
\(109\) 1.52592 + 1.52592i 0.146157 + 0.146157i 0.776399 0.630242i \(-0.217044\pi\)
−0.630242 + 0.776399i \(0.717044\pi\)
\(110\) −3.89032 15.0193i −0.370928 1.43204i
\(111\) 2.16083 + 8.25820i 0.205097 + 0.783834i
\(112\) 11.2428 + 0.375588i 1.06234 + 0.0354897i
\(113\) 5.75213 + 3.32099i 0.541115 + 0.312413i 0.745531 0.666471i \(-0.232196\pi\)
−0.204416 + 0.978884i \(0.565529\pi\)
\(114\) −6.09345 + 3.40340i −0.570704 + 0.318758i
\(115\) −10.0254 2.68630i −0.934876 0.250499i
\(116\) −10.8830 + 2.72218i −1.01046 + 0.252748i
\(117\) 2.40477 + 2.46199i 0.222321 + 0.227611i
\(118\) −17.3992 + 9.85270i −1.60173 + 0.907015i
\(119\) 1.70333 0.983418i 0.156144 0.0901498i
\(120\) −7.89376 + 4.23760i −0.720599 + 0.386838i
\(121\) 21.6389 + 12.4932i 1.96717 + 1.13575i
\(122\) −19.3774 0.161779i −1.75434 0.0146467i
\(123\) 2.67441 + 4.69574i 0.241143 + 0.423400i
\(124\) 11.9038 + 0.198780i 1.06899 + 0.0178510i
\(125\) −8.60659 + 8.60659i −0.769797 + 0.769797i
\(126\) −11.4605 3.31915i −1.02098 0.295693i
\(127\) 13.8224i 1.22654i −0.789874 0.613270i \(-0.789854\pi\)
0.789874 0.613270i \(-0.210146\pi\)
\(128\) 11.0806 2.28492i 0.979394 0.201960i
\(129\) −8.94395 9.04972i −0.787471 0.796784i
\(130\) 2.08039 + 2.11542i 0.182462 + 0.185535i
\(131\) 8.97914 2.40595i 0.784511 0.210209i 0.155739 0.987798i \(-0.450224\pi\)
0.628773 + 0.777589i \(0.283558\pi\)
\(132\) 5.83018 19.9461i 0.507452 1.73608i
\(133\) −7.74013 2.07396i −0.671154 0.179835i
\(134\) 16.4295 9.30354i 1.41929 0.803703i
\(135\) 9.22090 2.29725i 0.793608 0.197716i
\(136\) 1.43335 1.36329i 0.122908 0.116901i
\(137\) 5.96603 + 10.3335i 0.509712 + 0.882848i 0.999937 + 0.0112514i \(0.00358150\pi\)
−0.490224 + 0.871596i \(0.663085\pi\)
\(138\) −9.68913 9.96882i −0.824793 0.848602i
\(139\) 1.20712 0.323448i 0.102387 0.0274345i −0.207262 0.978286i \(-0.566455\pi\)
0.309649 + 0.950851i \(0.399789\pi\)
\(140\) −9.88985 2.82778i −0.835845 0.238991i
\(141\) 9.82521 + 0.0577550i 0.827432 + 0.00486385i
\(142\) −9.88319 + 2.55995i −0.829379 + 0.214826i
\(143\) −6.88181 −0.575486
\(144\) −11.9878 0.541627i −0.998981 0.0451356i
\(145\) 10.2580 0.851884
\(146\) 5.14120 1.33168i 0.425489 0.110211i
\(147\) −0.779052 1.36786i −0.0642551 0.112819i
\(148\) −2.70973 + 9.47699i −0.222739 + 0.779004i
\(149\) −3.47417 + 0.930902i −0.284615 + 0.0762625i −0.398302 0.917254i \(-0.630401\pi\)
0.113687 + 0.993517i \(0.463734\pi\)
\(150\) −3.93142 + 0.993697i −0.320999 + 0.0811350i
\(151\) −5.43126 9.40721i −0.441989 0.765548i 0.555848 0.831284i \(-0.312394\pi\)
−0.997837 + 0.0657361i \(0.979060\pi\)
\(152\) −8.05669 0.201830i −0.653484 0.0163705i
\(153\) −1.82924 + 1.02763i −0.147886 + 0.0830792i
\(154\) 20.7608 11.7563i 1.67295 0.947347i
\(155\) −10.5155 2.81761i −0.844621 0.226316i
\(156\) 0.941626 + 3.86079i 0.0753904 + 0.309111i
\(157\) −9.52986 + 2.55352i −0.760565 + 0.203793i −0.618199 0.786021i \(-0.712138\pi\)
−0.142366 + 0.989814i \(0.545471\pi\)
\(158\) 3.39321 + 3.45035i 0.269950 + 0.274495i
\(159\) 10.5596 2.76300i 0.837428 0.219120i
\(160\) −10.3363 0.431720i −0.817154 0.0341305i
\(161\) 15.9606i 1.25787i
\(162\) 12.1830 + 3.68420i 0.957191 + 0.289458i
\(163\) −3.66703 + 3.66703i −0.287224 + 0.287224i −0.835981 0.548758i \(-0.815101\pi\)
0.548758 + 0.835981i \(0.315101\pi\)
\(164\) −0.104185 + 6.23904i −0.00813547 + 0.487187i
\(165\) −9.59752 + 16.4000i −0.747166 + 1.27674i
\(166\) −1.68690 0.0140837i −0.130929 0.00109311i
\(167\) −17.4253 10.0605i −1.34841 0.778505i −0.360385 0.932803i \(-0.617355\pi\)
−0.988024 + 0.154299i \(0.950688\pi\)
\(168\) −9.43610 10.0385i −0.728011 0.774490i
\(169\) −10.1186 + 5.84198i −0.778355 + 0.449383i
\(170\) −1.57398 + 0.891299i −0.120719 + 0.0683595i
\(171\) 8.23025 + 2.30932i 0.629383 + 0.176598i
\(172\) −3.56510 14.2529i −0.271836 1.08677i
\(173\) −10.1074 2.70826i −0.768450 0.205906i −0.146763 0.989172i \(-0.546886\pi\)
−0.621687 + 0.783266i \(0.713552\pi\)
\(174\) 11.7999 + 7.03835i 0.894545 + 0.533576i
\(175\) −4.03189 2.32781i −0.304782 0.175966i
\(176\) 17.5244 16.3914i 1.32095 1.23555i
\(177\) 23.6169 + 6.47717i 1.77516 + 0.486854i
\(178\) −0.138948 0.536435i −0.0104146 0.0402075i
\(179\) 12.4542 + 12.4542i 0.930872 + 0.930872i 0.997760 0.0668885i \(-0.0213072\pi\)
−0.0668885 + 0.997760i \(0.521307\pi\)
\(180\) 10.5139 + 3.14037i 0.783657 + 0.234069i
\(181\) −9.12083 + 9.12083i −0.677946 + 0.677946i −0.959535 0.281589i \(-0.909139\pi\)
0.281589 + 0.959535i \(0.409139\pi\)
\(182\) −2.31417 + 3.93207i −0.171537 + 0.291465i
\(183\) 16.6829 + 16.8802i 1.23324 + 1.24782i
\(184\) −3.76503 15.6045i −0.277561 1.15038i
\(185\) 4.50653 7.80554i 0.331327 0.573875i
\(186\) −10.1627 10.4561i −0.745167 0.766677i
\(187\) 1.08587 4.05252i 0.0794066 0.296349i
\(188\) 9.72929 + 5.83594i 0.709582 + 0.425630i
\(189\) 7.08219 + 12.7821i 0.515153 + 0.929759i
\(190\) 7.10210 + 1.96670i 0.515240 + 0.142679i
\(191\) 1.76985 + 3.06547i 0.128062 + 0.221810i 0.922926 0.384978i \(-0.125791\pi\)
−0.794864 + 0.606788i \(0.792458\pi\)
\(192\) −11.5936 7.58864i −0.836699 0.547663i
\(193\) 7.43004 12.8692i 0.534826 0.926346i −0.464346 0.885654i \(-0.653711\pi\)
0.999172 0.0406916i \(-0.0129561\pi\)
\(194\) −1.76533 + 1.73610i −0.126743 + 0.124644i
\(195\) 0.0213600 3.63374i 0.00152962 0.260218i
\(196\) 0.0303489 1.81743i 0.00216778 0.129816i
\(197\) 11.9105 + 11.9105i 0.848589 + 0.848589i 0.989957 0.141368i \(-0.0451501\pi\)
−0.141368 + 0.989957i \(0.545150\pi\)
\(198\) −22.2926 + 12.2798i −1.58427 + 0.872690i
\(199\) 15.5983 1.10574 0.552868 0.833269i \(-0.313533\pi\)
0.552868 + 0.833269i \(0.313533\pi\)
\(200\) −4.49106 1.32478i −0.317566 0.0936757i
\(201\) −22.3006 6.11615i −1.57296 0.431400i
\(202\) 1.19529 + 0.00997929i 0.0841003 + 0.000702140i
\(203\) 4.08272 + 15.2369i 0.286551 + 1.06942i
\(204\) −2.42210 0.0546893i −0.169581 0.00382902i
\(205\) 1.47677 5.51137i 0.103142 0.384931i
\(206\) 14.4563 + 4.00319i 1.00722 + 0.278916i
\(207\) −0.200159 + 17.0248i −0.0139120 + 1.18331i
\(208\) −1.33498 + 4.39026i −0.0925643 + 0.304409i
\(209\) −14.8029 + 8.54648i −1.02394 + 0.591172i
\(210\) 6.14312 + 10.9986i 0.423916 + 0.758978i
\(211\) −4.18049 15.6018i −0.287797 1.07407i −0.946771 0.321907i \(-0.895676\pi\)
0.658975 0.752165i \(-0.270990\pi\)
\(212\) 12.1180 + 3.46487i 0.832268 + 0.237968i
\(213\) 10.7917 + 6.31547i 0.739436 + 0.432729i
\(214\) 11.0295 + 6.49124i 0.753960 + 0.443732i
\(215\) 13.4344i 0.916220i
\(216\) 9.93943 + 10.8263i 0.676292 + 0.736633i
\(217\) 16.7407i 1.13643i
\(218\) 1.54793 2.63014i 0.104839 0.178136i
\(219\) −5.61381 3.28529i −0.379346 0.221999i
\(220\) −19.1824 + 10.6520i −1.29328 + 0.718155i
\(221\) 0.207655 + 0.774977i 0.0139684 + 0.0521306i
\(222\) 10.5395 5.88668i 0.707365 0.395088i
\(223\) 13.9254 8.03982i 0.932512 0.538386i 0.0449068 0.998991i \(-0.485701\pi\)
0.887605 + 0.460605i \(0.152368\pi\)
\(224\) −3.47259 15.5249i −0.232023 1.03730i
\(225\) 4.27155 + 2.53360i 0.284770 + 0.168907i
\(226\) 2.50680 9.05251i 0.166750 0.602164i
\(227\) 2.85895 10.6697i 0.189755 0.708176i −0.803807 0.594890i \(-0.797196\pi\)
0.993562 0.113286i \(-0.0361377\pi\)
\(228\) 6.82016 + 7.13526i 0.451676 + 0.472544i
\(229\) 0.104652 + 0.390566i 0.00691559 + 0.0258093i 0.969297 0.245891i \(-0.0790806\pi\)
−0.962382 + 0.271701i \(0.912414\pi\)
\(230\) −0.122542 + 14.6777i −0.00808018 + 0.967821i
\(231\) −28.1798 7.72858i −1.85409 0.508503i
\(232\) 7.58596 + 13.9339i 0.498043 + 0.914805i
\(233\) 11.6252 0.761590 0.380795 0.924659i \(-0.375650\pi\)
0.380795 + 0.924659i \(0.375650\pi\)
\(234\) 2.51779 4.16525i 0.164593 0.272291i
\(235\) −7.33569 7.33569i −0.478528 0.478528i
\(236\) 19.6586 + 20.3263i 1.27967 + 1.32313i
\(237\) 0.0348392 5.92680i 0.00226305 0.384987i
\(238\) −1.95035 1.98319i −0.126422 0.128551i
\(239\) −1.55685 + 2.69654i −0.100704 + 0.174425i −0.911975 0.410246i \(-0.865443\pi\)
0.811271 + 0.584671i \(0.198776\pi\)
\(240\) 8.60061 + 9.30414i 0.555167 + 0.600579i
\(241\) −7.16669 12.4131i −0.461647 0.799596i 0.537396 0.843330i \(-0.319408\pi\)
−0.999043 + 0.0437337i \(0.986075\pi\)
\(242\) 9.43029 34.0545i 0.606202 2.18911i
\(243\) −7.39414 13.7232i −0.474334 0.880345i
\(244\) 6.64989 + 26.5856i 0.425716 + 1.70197i
\(245\) −0.430181 + 1.60546i −0.0274833 + 0.102569i
\(246\) 5.48025 5.32650i 0.349408 0.339605i
\(247\) 1.63437 2.83082i 0.103993 0.180121i
\(248\) −3.94905 16.3672i −0.250765 1.03932i
\(249\) 1.45234 + 1.46951i 0.0920382 + 0.0931266i
\(250\) 14.8347 + 8.73075i 0.938228 + 0.552181i
\(251\) 3.06176 3.06176i 0.193257 0.193257i −0.603845 0.797102i \(-0.706365\pi\)
0.797102 + 0.603845i \(0.206365\pi\)
\(252\) −0.480051 + 16.8668i −0.0302404 + 1.06251i
\(253\) −24.0739 24.0739i −1.51351 1.51351i
\(254\) −18.9233 + 4.90154i −1.18735 + 0.307550i
\(255\) 2.13645 + 0.585940i 0.133789 + 0.0366930i
\(256\) −7.05739 14.3594i −0.441087 0.897464i
\(257\) 2.78074 + 1.60546i 0.173458 + 0.100146i 0.584215 0.811599i \(-0.301402\pi\)
−0.410757 + 0.911745i \(0.634736\pi\)
\(258\) −9.21777 + 15.4537i −0.573874 + 0.962104i
\(259\) 13.3877 + 3.58722i 0.831870 + 0.222899i
\(260\) 2.15836 3.59827i 0.133856 0.223155i
\(261\) −4.16388 16.3041i −0.257737 1.00920i
\(262\) −6.47791 11.4396i −0.400207 0.706739i
\(263\) 2.63762 1.52283i 0.162643 0.0939018i −0.416469 0.909150i \(-0.636733\pi\)
0.579112 + 0.815248i \(0.303399\pi\)
\(264\) −29.3743 0.908663i −1.80786 0.0559244i
\(265\) −9.98076 5.76240i −0.613113 0.353981i
\(266\) −0.0946086 + 11.3319i −0.00580082 + 0.694806i
\(267\) −0.342788 + 0.585748i −0.0209783 + 0.0358472i
\(268\) −18.5629 19.1934i −1.13391 1.17242i
\(269\) −1.99648 + 1.99648i −0.121727 + 0.121727i −0.765346 0.643619i \(-0.777432\pi\)
0.643619 + 0.765346i \(0.277432\pi\)
\(270\) −6.41482 11.8091i −0.390394 0.718678i
\(271\) 13.9357i 0.846534i 0.906005 + 0.423267i \(0.139117\pi\)
−0.906005 + 0.423267i \(0.860883\pi\)
\(272\) −2.37466 1.47887i −0.143985 0.0896695i
\(273\) 5.40593 1.41451i 0.327182 0.0856099i
\(274\) 12.0313 11.8320i 0.726835 0.714799i
\(275\) −9.59256 + 2.57032i −0.578453 + 0.154996i
\(276\) −10.2118 + 16.7998i −0.614678 + 1.01123i
\(277\) 30.2253 + 8.09885i 1.81606 + 0.486613i 0.996289 0.0860738i \(-0.0274321\pi\)
0.819774 + 0.572686i \(0.194099\pi\)
\(278\) −0.870867 1.53790i −0.0522311 0.0922368i
\(279\) −0.209943 + 17.8570i −0.0125689 + 1.06907i
\(280\) −0.364301 + 14.5423i −0.0217712 + 0.869068i
\(281\) −11.3745 19.7012i −0.678544 1.17527i −0.975419 0.220357i \(-0.929278\pi\)
0.296875 0.954916i \(-0.404056\pi\)
\(282\) −3.40503 13.4715i −0.202767 0.802217i
\(283\) −2.36412 + 0.633463i −0.140532 + 0.0376555i −0.328399 0.944539i \(-0.606509\pi\)
0.187867 + 0.982194i \(0.439843\pi\)
\(284\) 7.00932 + 12.6226i 0.415927 + 0.749016i
\(285\) −4.46678 7.84279i −0.264589 0.464567i
\(286\) 2.44035 + 9.42143i 0.144301 + 0.557101i
\(287\) 8.77415 0.517921
\(288\) 3.50946 + 16.6037i 0.206797 + 0.978384i
\(289\) 16.5109 0.971228
\(290\) −3.63759 14.0436i −0.213606 0.824668i
\(291\) 3.03238 + 0.0178251i 0.177761 + 0.00104492i
\(292\) −3.64623 6.56626i −0.213379 0.384261i
\(293\) 7.53030 2.01774i 0.439925 0.117877i −0.0320565 0.999486i \(-0.510206\pi\)
0.471981 + 0.881609i \(0.343539\pi\)
\(294\) −1.59639 + 1.55160i −0.0931035 + 0.0904914i
\(295\) −12.9285 22.3929i −0.752728 1.30376i
\(296\) 13.9352 + 0.349094i 0.809968 + 0.0202907i
\(297\) 29.9620 + 8.59733i 1.73857 + 0.498868i
\(298\) 2.50641 + 4.42616i 0.145192 + 0.256400i
\(299\) 6.28881 + 1.68508i 0.363691 + 0.0974508i
\(300\) 2.75452 + 5.02987i 0.159032 + 0.290400i
\(301\) −19.9550 + 5.34693i −1.15019 + 0.308192i
\(302\) −10.9528 + 10.7714i −0.630264 + 0.619827i
\(303\) −1.02908 1.04125i −0.0591194 0.0598185i
\(304\) 2.58066 + 11.1015i 0.148011 + 0.636712i
\(305\) 25.0589i 1.43487i
\(306\) 2.05553 + 2.13989i 0.117507 + 0.122329i
\(307\) −24.0831 + 24.0831i −1.37450 + 1.37450i −0.520843 + 0.853652i \(0.674382\pi\)
−0.853652 + 0.520843i \(0.825618\pi\)
\(308\) −23.4567 24.2534i −1.33657 1.38197i
\(309\) −9.09209 15.9639i −0.517231 0.908157i
\(310\) −0.128532 + 15.3952i −0.00730011 + 0.874386i
\(311\) 9.09165 + 5.24907i 0.515540 + 0.297647i 0.735108 0.677950i \(-0.237131\pi\)
−0.219568 + 0.975597i \(0.570465\pi\)
\(312\) 4.95165 2.65819i 0.280332 0.150490i
\(313\) −19.1380 + 11.0493i −1.08174 + 0.624544i −0.931366 0.364085i \(-0.881382\pi\)
−0.150376 + 0.988629i \(0.548048\pi\)
\(314\) 6.87522 + 12.1412i 0.387991 + 0.685167i
\(315\) 4.16832 14.8555i 0.234858 0.837015i
\(316\) 3.52038 5.86895i 0.198037 0.330154i
\(317\) −21.3323 5.71597i −1.19814 0.321041i −0.396042 0.918232i \(-0.629617\pi\)
−0.802099 + 0.597192i \(0.796283\pi\)
\(318\) −7.52715 13.4766i −0.422102 0.755731i
\(319\) 29.1405 + 16.8243i 1.63155 + 0.941978i
\(320\) 3.07429 + 14.3038i 0.171858 + 0.799607i
\(321\) −3.96770 15.1636i −0.221455 0.846352i
\(322\) −21.8505 + 5.65974i −1.21768 + 0.315405i
\(323\) 1.40911 + 1.40911i 0.0784050 + 0.0784050i
\(324\) 0.723585 17.9855i 0.0401992 0.999192i
\(325\) 1.34289 1.34289i 0.0744900 0.0744900i
\(326\) 6.32064 + 3.71992i 0.350068 + 0.206028i
\(327\) −3.61599 + 0.946157i −0.199965 + 0.0523226i
\(328\) 8.57840 2.06978i 0.473663 0.114285i
\(329\) 7.97655 13.8158i 0.439761 0.761689i
\(330\) 25.8555 + 7.32375i 1.42330 + 0.403159i
\(331\) −0.848686 + 3.16734i −0.0466480 + 0.174093i −0.985320 0.170720i \(-0.945391\pi\)
0.938672 + 0.344812i \(0.112057\pi\)
\(332\) 0.578908 + 2.31442i 0.0317717 + 0.127020i
\(333\) −14.2354 3.99431i −0.780095 0.218887i
\(334\) −7.59401 + 27.4233i −0.415525 + 1.50054i
\(335\) 12.2079 + 21.1447i 0.666990 + 1.15526i
\(336\) −10.3970 + 16.4781i −0.567201 + 0.898953i
\(337\) −11.5710 + 20.0416i −0.630315 + 1.09174i 0.357172 + 0.934038i \(0.383741\pi\)
−0.987487 + 0.157699i \(0.949593\pi\)
\(338\) 11.5860 + 11.7811i 0.630196 + 0.640808i
\(339\) −9.99662 + 5.69347i −0.542942 + 0.309227i
\(340\) 1.77836 + 1.83877i 0.0964453 + 0.0997210i
\(341\) −25.2506 25.2506i −1.36739 1.36739i
\(342\) 0.243030 12.0864i 0.0131415 0.653557i
\(343\) 17.1300 0.924931
\(344\) −18.2485 + 9.93494i −0.983894 + 0.535656i
\(345\) 12.7862 12.6368i 0.688388 0.680342i
\(346\) −0.123544 + 14.7977i −0.00664175 + 0.795530i
\(347\) 2.03374 + 7.59002i 0.109177 + 0.407454i 0.998785 0.0492700i \(-0.0156895\pi\)
−0.889609 + 0.456724i \(0.849023\pi\)
\(348\) 5.45141 18.6503i 0.292226 0.999759i
\(349\) −5.62138 + 20.9793i −0.300905 + 1.12299i 0.635508 + 0.772095i \(0.280791\pi\)
−0.936413 + 0.350900i \(0.885876\pi\)
\(350\) −1.75711 + 6.34525i −0.0939216 + 0.339168i
\(351\) −5.78414 + 1.44103i −0.308735 + 0.0769168i
\(352\) −28.6547 18.1790i −1.52730 0.968943i
\(353\) −0.108858 + 0.0628489i −0.00579390 + 0.00334511i −0.502894 0.864348i \(-0.667731\pi\)
0.497100 + 0.867693i \(0.334398\pi\)
\(354\) 0.492698 34.6293i 0.0261866 1.84052i
\(355\) −3.41701 12.7525i −0.181356 0.676831i
\(356\) −0.685126 + 0.380449i −0.0363116 + 0.0201638i
\(357\) −0.0200249 + 3.40660i −0.00105983 + 0.180297i
\(358\) 12.6339 21.4666i 0.667721 1.13455i
\(359\) 4.07414i 0.215025i 0.994204 + 0.107512i \(0.0342886\pi\)
−0.994204 + 0.107512i \(0.965711\pi\)
\(360\) 0.570967 15.5074i 0.0300926 0.817313i
\(361\) 10.8811i 0.572691i
\(362\) 15.7210 + 9.25240i 0.826280 + 0.486295i
\(363\) −37.6062 + 21.4182i −1.97381 + 1.12416i
\(364\) 6.20377 + 1.77383i 0.325166 + 0.0929738i
\(365\) 1.77752 + 6.63379i 0.0930396 + 0.347229i
\(366\) 17.1937 28.8254i 0.898729 1.50673i
\(367\) −4.96310 + 2.86545i −0.259072 + 0.149575i −0.623911 0.781495i \(-0.714457\pi\)
0.364839 + 0.931071i \(0.381124\pi\)
\(368\) −20.0280 + 10.6879i −1.04403 + 0.557147i
\(369\) −9.35922 0.110035i −0.487222 0.00572822i
\(370\) −12.2841 3.40168i −0.638620 0.176845i
\(371\) 4.58689 17.1185i 0.238139 0.888748i
\(372\) −10.7109 + 17.6209i −0.555336 + 0.913602i
\(373\) −5.28955 19.7409i −0.273882 1.02214i −0.956587 0.291448i \(-0.905863\pi\)
0.682704 0.730695i \(-0.260804\pi\)
\(374\) −5.93309 0.0495344i −0.306793 0.00256136i
\(375\) −5.33657 20.3951i −0.275579 1.05320i
\(376\) 4.53951 15.3892i 0.234108 0.793637i
\(377\) −6.43473 −0.331405
\(378\) 14.9877 14.2284i 0.770883 0.731829i
\(379\) −2.85273 2.85273i −0.146535 0.146535i 0.630033 0.776568i \(-0.283041\pi\)
−0.776568 + 0.630033i \(0.783041\pi\)
\(380\) 0.174009 10.4204i 0.00892647 0.534556i
\(381\) 20.6629 + 12.0922i 1.05859 + 0.619503i
\(382\) 3.56913 3.51003i 0.182612 0.179589i
\(383\) −7.78731 + 13.4880i −0.397913 + 0.689206i −0.993468 0.114109i \(-0.963599\pi\)
0.595555 + 0.803314i \(0.296932\pi\)
\(384\) −6.27791 + 18.5631i −0.320368 + 0.947293i
\(385\) 15.4263 + 26.7192i 0.786200 + 1.36174i
\(386\) −20.2531 5.60845i −1.03086 0.285462i
\(387\) 21.3527 5.45322i 1.08542 0.277203i
\(388\) 3.00278 + 1.80116i 0.152443 + 0.0914401i
\(389\) −7.22357 + 26.9587i −0.366250 + 1.36686i 0.499469 + 0.866332i \(0.333529\pi\)
−0.865719 + 0.500531i \(0.833138\pi\)
\(390\) −4.98229 + 1.25931i −0.252288 + 0.0637677i
\(391\) −1.98460 + 3.43743i −0.100366 + 0.173838i
\(392\) −2.49888 + 0.602926i −0.126213 + 0.0304524i
\(393\) −4.25858 + 15.5276i −0.214817 + 0.783262i
\(394\) 12.0823 20.5295i 0.608699 1.03426i
\(395\) −4.42507 + 4.42507i −0.222649 + 0.222649i
\(396\) 24.7167 + 26.1648i 1.24206 + 1.31483i
\(397\) 27.4204 + 27.4204i 1.37619 + 1.37619i 0.850961 + 0.525230i \(0.176021\pi\)
0.525230 + 0.850961i \(0.323979\pi\)
\(398\) −5.53130 21.3546i −0.277259 1.07041i
\(399\) 9.87161 9.75623i 0.494199 0.488423i
\(400\) −0.221094 + 6.61819i −0.0110547 + 0.330910i
\(401\) −14.6316 8.44757i −0.730669 0.421852i 0.0879981 0.996121i \(-0.471953\pi\)
−0.818667 + 0.574269i \(0.805286\pi\)
\(402\) −0.465236 + 32.6991i −0.0232039 + 1.63088i
\(403\) 6.59620 + 1.76745i 0.328580 + 0.0880428i
\(404\) −0.410198 1.63993i −0.0204081 0.0815896i
\(405\) −4.63257 + 15.7939i −0.230194 + 0.784803i
\(406\) 19.4121 10.9925i 0.963405 0.545549i
\(407\) 25.6038 14.7824i 1.26913 0.732735i
\(408\) 0.784025 + 3.33533i 0.0388150 + 0.165123i
\(409\) 14.9737 + 8.64508i 0.740402 + 0.427471i 0.822216 0.569176i \(-0.192738\pi\)
−0.0818133 + 0.996648i \(0.526071\pi\)
\(410\) −8.06893 0.0673662i −0.398496 0.00332698i
\(411\) −20.6666 0.121483i −1.01941 0.00599233i
\(412\) 0.354194 21.2107i 0.0174499 1.04497i
\(413\) 28.1160 28.1160i 1.38350 1.38350i
\(414\) 23.3785 5.76312i 1.14899 0.283242i
\(415\) 2.18151i 0.107086i
\(416\) 6.48380 + 0.270812i 0.317895 + 0.0132777i
\(417\) −0.572508 + 2.08747i −0.0280359 + 0.102224i
\(418\) 16.9497 + 17.2351i 0.829035 + 0.842995i
\(419\) 2.94162 0.788205i 0.143708 0.0385063i −0.186248 0.982503i \(-0.559633\pi\)
0.329956 + 0.943996i \(0.392966\pi\)
\(420\) 12.8791 12.3103i 0.628436 0.600684i
\(421\) 8.89561 + 2.38357i 0.433546 + 0.116168i 0.468990 0.883203i \(-0.344618\pi\)
−0.0354445 + 0.999372i \(0.511285\pi\)
\(422\) −19.8769 + 11.2558i −0.967595 + 0.547922i
\(423\) −8.68170 + 14.6370i −0.422119 + 0.711676i
\(424\) 0.446378 17.8186i 0.0216780 0.865349i
\(425\) 0.578900 + 1.00268i 0.0280808 + 0.0486373i
\(426\) 4.81926 17.0137i 0.233494 0.824318i
\(427\) 37.2216 9.97350i 1.80128 0.482651i
\(428\) 4.97559 17.4016i 0.240504 0.841137i
\(429\) 6.02040 10.2875i 0.290667 0.496685i
\(430\) 18.3922 4.76396i 0.886950 0.229739i
\(431\) −7.28002 −0.350666 −0.175333 0.984509i \(-0.556100\pi\)
−0.175333 + 0.984509i \(0.556100\pi\)
\(432\) 11.2969 17.4465i 0.543522 0.839395i
\(433\) −19.9763 −0.960002 −0.480001 0.877268i \(-0.659364\pi\)
−0.480001 + 0.877268i \(0.659364\pi\)
\(434\) −22.9186 + 5.93638i −1.10013 + 0.284956i
\(435\) −8.97401 + 15.3346i −0.430271 + 0.735236i
\(436\) −4.14966 1.18650i −0.198733 0.0568232i
\(437\) 15.6201 4.18539i 0.747210 0.200214i
\(438\) −2.50696 + 8.85049i −0.119787 + 0.422893i
\(439\) 15.3133 + 26.5235i 0.730866 + 1.26590i 0.956513 + 0.291688i \(0.0942170\pi\)
−0.225647 + 0.974209i \(0.572450\pi\)
\(440\) 21.3852 + 22.4841i 1.01950 + 1.07189i
\(441\) 2.72633 + 0.0320532i 0.129825 + 0.00152634i
\(442\) 0.987334 0.559099i 0.0469627 0.0265937i
\(443\) 28.7698 + 7.70884i 1.36689 + 0.366258i 0.866343 0.499450i \(-0.166464\pi\)
0.500550 + 0.865708i \(0.333131\pi\)
\(444\) −11.7965 12.3415i −0.559835 0.585700i
\(445\) 0.692173 0.185467i 0.0328121 0.00879199i
\(446\) −15.9448 16.2133i −0.755010 0.767723i
\(447\) 1.64771 6.00786i 0.0779342 0.284162i
\(448\) −20.0228 + 10.2594i −0.945987 + 0.484710i
\(449\) 26.8028i 1.26490i 0.774599 + 0.632452i \(0.217952\pi\)
−0.774599 + 0.632452i \(0.782048\pi\)
\(450\) 1.95385 6.74633i 0.0921055 0.318025i
\(451\) 13.2344 13.2344i 0.623181 0.623181i
\(452\) −13.2821 0.221796i −0.624739 0.0104324i
\(453\) 18.8141 + 0.110594i 0.883964 + 0.00519616i
\(454\) −15.6211 0.130418i −0.733132 0.00612080i
\(455\) −5.10961 2.95004i −0.239542 0.138300i
\(456\) 7.34993 11.8673i 0.344192 0.555735i
\(457\) 3.25342 1.87837i 0.152189 0.0878662i −0.421972 0.906609i \(-0.638662\pi\)
0.574161 + 0.818743i \(0.305329\pi\)
\(458\) 0.497588 0.281770i 0.0232507 0.0131662i
\(459\) 0.0640819 3.63351i 0.00299109 0.169598i
\(460\) 20.1378 5.03708i 0.938928 0.234855i
\(461\) 3.92641 + 1.05208i 0.182871 + 0.0490002i 0.349092 0.937088i \(-0.386490\pi\)
−0.166221 + 0.986088i \(0.553157\pi\)
\(462\) −0.587888 + 41.3197i −0.0273510 + 1.92237i
\(463\) −20.2888 11.7137i −0.942899 0.544383i −0.0520310 0.998645i \(-0.516569\pi\)
−0.890868 + 0.454263i \(0.849903\pi\)
\(464\) 16.3859 15.3265i 0.760697 0.711515i
\(465\) 13.4112 13.2545i 0.621930 0.614661i
\(466\) −4.12238 15.9153i −0.190966 0.737260i
\(467\) −13.2570 13.2570i −0.613463 0.613463i 0.330384 0.943847i \(-0.392822\pi\)
−0.943847 + 0.330384i \(0.892822\pi\)
\(468\) −6.59520 1.96991i −0.304863 0.0910591i
\(469\) −26.5489 + 26.5489i −1.22591 + 1.22591i
\(470\) −7.44151 + 12.6441i −0.343251 + 0.583229i
\(471\) 4.51977 16.4799i 0.208260 0.759354i
\(472\) 20.8563 34.1211i 0.959988 1.57055i
\(473\) −22.0339 + 38.1638i −1.01312 + 1.75477i
\(474\) −8.12635 + 2.05400i −0.373256 + 0.0943432i
\(475\) 1.22086 4.55631i 0.0560169 0.209058i
\(476\) −2.02344 + 3.37335i −0.0927443 + 0.154617i
\(477\) −5.10743 + 18.2025i −0.233853 + 0.833434i
\(478\) 4.24372 + 1.17516i 0.194103 + 0.0537506i
\(479\) −17.6429 30.5584i −0.806124 1.39625i −0.915529 0.402251i \(-0.868228\pi\)
0.109405 0.993997i \(-0.465105\pi\)
\(480\) 9.68783 15.0738i 0.442187 0.688024i
\(481\) −2.82689 + 4.89631i −0.128895 + 0.223252i
\(482\) −14.4525 + 14.2132i −0.658295 + 0.647394i
\(483\) 23.8592 + 13.9627i 1.08563 + 0.635326i
\(484\) −49.9658 0.834372i −2.27117 0.0379260i
\(485\) −2.26403 2.26403i −0.102804 0.102804i
\(486\) −16.1655 + 14.9892i −0.733283 + 0.679924i
\(487\) −12.1433 −0.550266 −0.275133 0.961406i \(-0.588722\pi\)
−0.275133 + 0.961406i \(0.588722\pi\)
\(488\) 34.0385 18.5314i 1.54085 0.838878i
\(489\) −2.27376 8.68979i −0.102823 0.392966i
\(490\) 2.35047 + 0.0196237i 0.106183 + 0.000886509i
\(491\) −0.200028 0.746514i −0.00902713 0.0336897i 0.961265 0.275625i \(-0.0888846\pi\)
−0.970293 + 0.241935i \(0.922218\pi\)
\(492\) −9.23550 5.61383i −0.416368 0.253091i
\(493\) 1.01532 3.78924i 0.0457279 0.170659i
\(494\) −4.45505 1.23368i −0.200442 0.0555059i
\(495\) −16.1199 28.6944i −0.724537 1.28972i
\(496\) −21.0069 + 11.2103i −0.943237 + 0.503359i
\(497\) 17.5821 10.1510i 0.788664 0.455335i
\(498\) 1.49680 2.50940i 0.0670733 0.112449i
\(499\) −0.210439 0.785369i −0.00942054 0.0351579i 0.961056 0.276355i \(-0.0891266\pi\)
−0.970476 + 0.241197i \(0.922460\pi\)
\(500\) 6.69218 23.4052i 0.299283 1.04671i
\(501\) 30.2834 17.2476i 1.35296 0.770565i
\(502\) −5.27738 3.10593i −0.235541 0.138624i
\(503\) 5.40486i 0.240991i 0.992714 + 0.120495i \(0.0384483\pi\)
−0.992714 + 0.120495i \(0.961552\pi\)
\(504\) 23.2614 5.32389i 1.03615 0.237145i
\(505\) 1.54576i 0.0687852i
\(506\) −24.4211 + 41.4947i −1.08565 + 1.84467i
\(507\) 0.118957 20.2369i 0.00528308 0.898751i
\(508\) 13.4207 + 24.1685i 0.595449 + 1.07231i
\(509\) −7.42301 27.7030i −0.329019 1.22792i −0.910210 0.414148i \(-0.864080\pi\)
0.581191 0.813768i \(-0.302587\pi\)
\(510\) 0.0445706 3.13264i 0.00197362 0.138716i
\(511\) −9.14614 + 5.28052i −0.404601 + 0.233597i
\(512\) −17.1559 + 14.7538i −0.758192 + 0.652031i
\(513\) −10.6522 + 10.2830i −0.470307 + 0.454005i
\(514\) 1.21186 4.37624i 0.0534528 0.193028i
\(515\) −5.02052 + 18.7368i −0.221231 + 0.825644i
\(516\) 24.4253 + 7.13944i 1.07526 + 0.314296i
\(517\) −8.80753 32.8701i −0.387355 1.44563i
\(518\) 0.163639 19.6002i 0.00718989 0.861185i
\(519\) 12.8908 12.7401i 0.565841 0.559228i
\(520\) −5.69152 1.67889i −0.249590 0.0736241i
\(521\) 12.8208 0.561689 0.280845 0.959753i \(-0.409385\pi\)
0.280845 + 0.959753i \(0.409385\pi\)
\(522\) −20.8444 + 11.4821i −0.912333 + 0.502556i
\(523\) −2.08204 2.08204i −0.0910411 0.0910411i 0.660120 0.751161i \(-0.270506\pi\)
−0.751161 + 0.660120i \(0.770506\pi\)
\(524\) −13.3640 + 12.9250i −0.583811 + 0.564633i
\(525\) 7.00701 3.99077i 0.305811 0.174171i
\(526\) −3.02013 3.07098i −0.131684 0.133901i
\(527\) −2.08161 + 3.60545i −0.0906762 + 0.157056i
\(528\) 9.17237 + 40.5366i 0.399176 + 1.76413i
\(529\) 4.60471 + 7.97560i 0.200205 + 0.346765i
\(530\) −4.34965 + 15.7074i −0.188937 + 0.682285i
\(531\) −30.3434 + 29.6382i −1.31679 + 1.28619i
\(532\) 15.5474 3.88888i 0.674063 0.168604i
\(533\) −0.926356 + 3.45721i −0.0401249 + 0.149748i
\(534\) 0.923464 + 0.261578i 0.0399622 + 0.0113196i
\(535\) −8.27485 + 14.3325i −0.357753 + 0.619647i
\(536\) −19.6938 + 32.2193i −0.850643 + 1.39166i
\(537\) −29.5129 + 7.72231i −1.27358 + 0.333242i
\(538\) 3.44121 + 2.02528i 0.148361 + 0.0873158i
\(539\) −3.85515 + 3.85515i −0.166053 + 0.166053i
\(540\) −13.8923 + 12.9697i −0.597829 + 0.558127i
\(541\) 22.7002 + 22.7002i 0.975956 + 0.975956i 0.999718 0.0237613i \(-0.00756417\pi\)
−0.0237613 + 0.999718i \(0.507564\pi\)
\(542\) 19.0785 4.94172i 0.819490 0.212265i
\(543\) −5.65542 21.6137i −0.242697 0.927534i
\(544\) −1.18254 + 3.77541i −0.0507011 + 0.161869i
\(545\) 3.41779 + 1.97326i 0.146402 + 0.0845253i
\(546\) −3.85350 6.89930i −0.164914 0.295263i
\(547\) 19.9084 + 5.33444i 0.851222 + 0.228084i 0.657951 0.753061i \(-0.271424\pi\)
0.193271 + 0.981145i \(0.438090\pi\)
\(548\) −20.4648 12.2755i −0.874214 0.524382i
\(549\) −39.8287 + 10.1718i −1.69985 + 0.434120i
\(550\) 6.92045 + 12.2211i 0.295089 + 0.521109i
\(551\) −13.8413 + 7.99125i −0.589657 + 0.340439i
\(552\) 26.6206 + 8.02296i 1.13305 + 0.341480i
\(553\) −8.33402 4.81165i −0.354399 0.204612i
\(554\) 0.369448 44.2514i 0.0156963 1.88006i
\(555\) 7.72594 + 13.5652i 0.327948 + 0.575813i
\(556\) −1.79661 + 1.73760i −0.0761934 + 0.0736905i
\(557\) 10.7551 10.7551i 0.455708 0.455708i −0.441535 0.897244i \(-0.645566\pi\)
0.897244 + 0.441535i \(0.145566\pi\)
\(558\) 24.5212 6.04481i 1.03807 0.255897i
\(559\) 8.42723i 0.356434i
\(560\) 20.0381 4.65807i 0.846763 0.196840i
\(561\) 5.10809 + 5.16850i 0.215664 + 0.218214i
\(562\) −22.9381 + 22.5582i −0.967585 + 0.951562i
\(563\) −20.7659 + 5.56420i −0.875177 + 0.234503i −0.668325 0.743869i \(-0.732988\pi\)
−0.206852 + 0.978372i \(0.566322\pi\)
\(564\) −17.2355 + 9.43871i −0.725746 + 0.397442i
\(565\) 11.7330 + 3.14385i 0.493611 + 0.132263i
\(566\) 1.70557 + 3.01192i 0.0716904 + 0.126601i
\(567\) −25.3034 0.595062i −1.06264 0.0249902i
\(568\) 14.7953 14.0721i 0.620795 0.590452i
\(569\) −1.88272 3.26097i −0.0789277 0.136707i 0.823860 0.566794i \(-0.191816\pi\)
−0.902788 + 0.430087i \(0.858483\pi\)
\(570\) −9.15309 + 8.89629i −0.383381 + 0.372624i
\(571\) 16.3264 4.37466i 0.683241 0.183074i 0.0995287 0.995035i \(-0.468266\pi\)
0.583712 + 0.811961i \(0.301600\pi\)
\(572\) 12.0329 6.68183i 0.503120 0.279381i
\(573\) −6.13083 0.0360386i −0.256119 0.00150553i
\(574\) −3.11139 12.0121i −0.129867 0.501375i
\(575\) 9.39535 0.391813
\(576\) 21.4866 10.6924i 0.895274 0.445516i
\(577\) −9.76787 −0.406642 −0.203321 0.979112i \(-0.565173\pi\)
−0.203321 + 0.979112i \(0.565173\pi\)
\(578\) −5.85489 22.6039i −0.243531 0.940200i
\(579\) 12.7380 + 22.3654i 0.529371 + 0.929473i
\(580\) −17.9362 + 9.95995i −0.744762 + 0.413565i
\(581\) 3.24034 0.868246i 0.134432 0.0360209i
\(582\) −1.05090 4.15775i −0.0435613 0.172344i
\(583\) −18.9019 32.7390i −0.782835 1.35591i
\(584\) −7.69644 + 7.32026i −0.318481 + 0.302914i
\(585\) 5.41333 + 3.21083i 0.223814 + 0.132751i
\(586\) −5.43266 9.59372i −0.224421 0.396313i
\(587\) −22.1733 5.94132i −0.915190 0.245224i −0.229662 0.973271i \(-0.573762\pi\)
−0.685528 + 0.728046i \(0.740429\pi\)
\(588\) 2.69029 + 1.63530i 0.110946 + 0.0674388i
\(589\) 16.3836 4.38996i 0.675073 0.180885i
\(590\) −26.0720 + 25.6403i −1.07337 + 1.05559i
\(591\) −28.2245 + 7.38518i −1.16100 + 0.303786i
\(592\) −4.46362 19.2016i −0.183454 0.789180i
\(593\) 1.37926i 0.0566394i 0.999599 + 0.0283197i \(0.00901564\pi\)
−0.999599 + 0.0283197i \(0.990984\pi\)
\(594\) 1.14528 44.0676i 0.0469912 1.80812i
\(595\) 2.54344 2.54344i 0.104271 0.104271i
\(596\) 5.17076 5.00091i 0.211803 0.204845i
\(597\) −13.6459 + 23.3177i −0.558488 + 0.954330i
\(598\) 0.0768689 9.20714i 0.00314340 0.376508i
\(599\) 26.6820 + 15.4049i 1.09020 + 0.629425i 0.933629 0.358242i \(-0.116624\pi\)
0.156568 + 0.987667i \(0.449957\pi\)
\(600\) 5.90929 5.55466i 0.241246 0.226768i
\(601\) −2.43951 + 1.40845i −0.0995098 + 0.0574520i −0.548929 0.835869i \(-0.684964\pi\)
0.449419 + 0.893321i \(0.351631\pi\)
\(602\) 14.3963 + 25.4230i 0.586751 + 1.03616i
\(603\) 28.6521 27.9862i 1.16680 1.13969i
\(604\) 18.6304 + 11.1751i 0.758062 + 0.454710i
\(605\) 44.1382 + 11.8268i 1.79447 + 0.480828i
\(606\) −1.06059 + 1.77809i −0.0430836 + 0.0722299i
\(607\) −26.2297 15.1437i −1.06463 0.614666i −0.137922 0.990443i \(-0.544042\pi\)
−0.926710 + 0.375777i \(0.877376\pi\)
\(608\) 14.2831 7.46968i 0.579258 0.302935i
\(609\) −26.3491 7.22648i −1.06772 0.292832i
\(610\) −34.3065 + 8.88610i −1.38903 + 0.359788i
\(611\) 4.60158 + 4.60158i 0.186160 + 0.186160i
\(612\) 2.20067 3.57291i 0.0889569 0.144426i
\(613\) 3.66344 3.66344i 0.147965 0.147965i −0.629243 0.777208i \(-0.716635\pi\)
0.777208 + 0.629243i \(0.216635\pi\)
\(614\) 41.5107 + 24.4305i 1.67523 + 0.985935i
\(615\) 6.94694 + 7.02910i 0.280128 + 0.283441i
\(616\) −24.8858 + 40.7134i −1.00268 + 1.64039i
\(617\) 13.2053 22.8722i 0.531624 0.920799i −0.467695 0.883890i \(-0.654915\pi\)
0.999319 0.0369091i \(-0.0117512\pi\)
\(618\) −18.6310 + 18.1083i −0.749450 + 0.728424i
\(619\) −12.6542 + 47.2262i −0.508617 + 1.89818i −0.0747583 + 0.997202i \(0.523819\pi\)
−0.433858 + 0.900981i \(0.642848\pi\)
\(620\) 21.1221 5.28329i 0.848282 0.212182i
\(621\) −25.2750 15.1930i −1.01425 0.609674i
\(622\) 3.96218 14.3081i 0.158869 0.573704i
\(623\) 0.550972 + 0.954312i 0.0220742 + 0.0382337i
\(624\) −5.39504 5.83636i −0.215975 0.233641i
\(625\) −6.99103 + 12.1088i −0.279641 + 0.484353i
\(626\) 21.9134 + 22.2823i 0.875834 + 0.890582i
\(627\) 0.174028 29.6054i 0.00695000 1.18232i
\(628\) 14.1837 13.7178i 0.565991 0.547399i
\(629\) −2.43726 2.43726i −0.0971799 0.0971799i
\(630\) −21.8159 0.438667i −0.869165 0.0174769i
\(631\) −36.5500 −1.45503 −0.727516 0.686090i \(-0.759325\pi\)
−0.727516 + 0.686090i \(0.759325\pi\)
\(632\) −9.28314 2.73834i −0.369264 0.108926i
\(633\) 26.9801 + 7.39954i 1.07236 + 0.294105i
\(634\) −0.260747 + 31.2315i −0.0103556 + 1.24036i
\(635\) −6.54255 24.4171i −0.259633 0.968964i
\(636\) −15.7807 + 15.0838i −0.625747 + 0.598113i
\(637\) 0.269847 1.00708i 0.0106917 0.0399020i
\(638\) 12.6995 45.8603i 0.502779 1.81563i
\(639\) −18.8818 + 10.6074i −0.746952 + 0.419623i
\(640\) 18.4922 9.28105i 0.730969 0.366866i
\(641\) −5.95425 + 3.43769i −0.235179 + 0.135780i −0.612959 0.790115i \(-0.710021\pi\)
0.377780 + 0.925895i \(0.376688\pi\)
\(642\) −19.3525 + 10.8091i −0.763784 + 0.426600i
\(643\) −7.59808 28.3564i −0.299639 1.11827i −0.937463 0.348086i \(-0.886832\pi\)
0.637823 0.770183i \(-0.279835\pi\)
\(644\) 15.4968 + 27.9071i 0.610658 + 1.09969i
\(645\) −20.0829 11.7528i −0.790764 0.462766i
\(646\) 1.42944 2.42880i 0.0562405 0.0955599i
\(647\) 1.90726i 0.0749821i −0.999297 0.0374911i \(-0.988063\pi\)
0.999297 0.0374911i \(-0.0119366\pi\)
\(648\) −24.8793 + 5.38718i −0.977350 + 0.211628i
\(649\) 84.8166i 3.32934i
\(650\) −2.31466 1.36226i −0.0907884 0.0534322i
\(651\) 25.0254 + 14.6452i 0.980821 + 0.573991i
\(652\) 2.85135 9.97229i 0.111667 0.390545i
\(653\) −5.94070 22.1710i −0.232478 0.867618i −0.979270 0.202560i \(-0.935074\pi\)
0.746792 0.665057i \(-0.231593\pi\)
\(654\) 2.57758 + 4.61490i 0.100791 + 0.180457i
\(655\) 14.7228 8.50019i 0.575266 0.332130i
\(656\) −5.87558 11.0102i −0.229403 0.429874i
\(657\) 9.82224 5.51794i 0.383202 0.215275i
\(658\) −21.7428 6.02097i −0.847624 0.234722i
\(659\) −3.86006 + 14.4059i −0.150366 + 0.561175i 0.849091 + 0.528246i \(0.177150\pi\)
−0.999458 + 0.0329291i \(0.989516\pi\)
\(660\) 0.857882 37.9941i 0.0333930 1.47892i
\(661\) 9.76236 + 36.4336i 0.379712 + 1.41710i 0.846337 + 0.532648i \(0.178803\pi\)
−0.466625 + 0.884455i \(0.654530\pi\)
\(662\) 4.63715 + 0.0387148i 0.180228 + 0.00150469i
\(663\) −1.34016 0.367552i −0.0520476 0.0142745i
\(664\) 2.96323 1.61326i 0.114996 0.0626065i
\(665\) −14.6545 −0.568278
\(666\) −0.420355 + 20.9052i −0.0162884 + 0.810058i
\(667\) −22.5099 22.5099i −0.871586 0.871586i
\(668\) 40.2364 + 0.671901i 1.55679 + 0.0259966i
\(669\) −0.163711 + 27.8503i −0.00632943 + 1.07675i
\(670\) 24.6188 24.2112i 0.951109 0.935359i
\(671\) 41.0993 71.1860i 1.58662 2.74811i
\(672\) 26.2459 + 8.39053i 1.01246 + 0.323672i
\(673\) −11.2966 19.5664i −0.435454 0.754228i 0.561879 0.827220i \(-0.310079\pi\)
−0.997333 + 0.0729916i \(0.976745\pi\)
\(674\) 31.5409 + 8.73421i 1.21491 + 0.336429i
\(675\) −7.52430 + 4.16901i −0.289611 + 0.160465i
\(676\) 12.0202 20.0393i 0.462317 0.770743i
\(677\) 8.14191 30.3860i 0.312919 1.16783i −0.612992 0.790089i \(-0.710034\pi\)
0.925911 0.377741i \(-0.123299\pi\)
\(678\) 11.3394 + 11.6668i 0.435488 + 0.448059i
\(679\) 2.46182 4.26400i 0.0944760 0.163637i
\(680\) 1.88671 3.08668i 0.0723520 0.118369i
\(681\) 13.4489 + 13.6080i 0.515365 + 0.521459i
\(682\) −25.6148 + 43.5229i −0.980841 + 1.66658i
\(683\) 24.1502 24.1502i 0.924081 0.924081i −0.0732336 0.997315i \(-0.523332\pi\)
0.997315 + 0.0732336i \(0.0233319\pi\)
\(684\) −16.6329 + 3.95322i −0.635973 + 0.151155i
\(685\) 15.4301 + 15.4301i 0.589553 + 0.589553i
\(686\) −6.07443 23.4515i −0.231923 0.895382i
\(687\) −0.675403 0.185236i −0.0257682 0.00706718i
\(688\) 20.0723 + 21.4598i 0.765251 + 0.818148i
\(689\) 6.26079 + 3.61467i 0.238517 + 0.137708i
\(690\) −21.8343 13.0237i −0.831217 0.495803i
\(691\) 39.9843 + 10.7138i 1.52108 + 0.407571i 0.920096 0.391693i \(-0.128111\pi\)
0.600980 + 0.799264i \(0.294777\pi\)
\(692\) 20.3024 5.07826i 0.771781 0.193046i
\(693\) 36.2058 35.3643i 1.37534 1.34338i
\(694\) 9.66981 5.47574i 0.367061 0.207856i
\(695\) 1.97928 1.14273i 0.0750782 0.0433464i
\(696\) −27.4660 0.849631i −1.04109 0.0322052i
\(697\) −1.88969 1.09101i −0.0715772 0.0413251i
\(698\) 30.7147 + 0.256432i 1.16257 + 0.00970610i
\(699\) −10.1700 + 17.3783i −0.384666 + 0.657307i
\(700\) 9.30995 + 0.155465i 0.351883 + 0.00587604i
\(701\) −21.1814 + 21.1814i −0.800009 + 0.800009i −0.983097 0.183088i \(-0.941391\pi\)
0.183088 + 0.983097i \(0.441391\pi\)
\(702\) 4.02393 + 7.40768i 0.151873 + 0.279585i
\(703\) 14.0428i 0.529633i
\(704\) −14.7265 + 45.6756i −0.555024 + 1.72146i
\(705\) 17.3835 4.54854i 0.654699 0.171308i
\(706\) 0.124644 + 0.126743i 0.00469104 + 0.00477003i
\(707\) −2.29601 + 0.615214i −0.0863503 + 0.0231375i
\(708\) −47.5833 + 11.6053i −1.78829 + 0.436154i
\(709\) −15.8532 4.24787i −0.595381 0.159532i −0.0514698 0.998675i \(-0.516391\pi\)
−0.543911 + 0.839143i \(0.683057\pi\)
\(710\) −16.2469 + 9.20014i −0.609734 + 0.345275i
\(711\) 8.82940 + 5.23701i 0.331128 + 0.196403i
\(712\) 0.763799 + 0.803050i 0.0286246 + 0.0300956i
\(713\) 16.8919 + 29.2576i 0.632606 + 1.09571i
\(714\) 4.67085 1.18059i 0.174802 0.0441827i
\(715\) −12.1566 + 3.25736i −0.454633 + 0.121819i
\(716\) −33.8686 9.68396i −1.26573 0.361906i
\(717\) −2.66904 4.68631i −0.0996771 0.175014i
\(718\) 5.57764 1.44472i 0.208156 0.0539166i
\(719\) −23.3461 −0.870664 −0.435332 0.900270i \(-0.643369\pi\)
−0.435332 + 0.900270i \(0.643369\pi\)
\(720\) −21.4327 + 4.71739i −0.798748 + 0.175807i
\(721\) −29.8292 −1.11090
\(722\) 14.8966 3.85854i 0.554395 0.143600i
\(723\) 24.8257 + 0.145932i 0.923278 + 0.00542726i
\(724\) 7.09203 24.8036i 0.263573 0.921819i
\(725\) −8.96937 + 2.40334i −0.333114 + 0.0892576i
\(726\) 42.6577 + 43.8890i 1.58317 + 1.62887i
\(727\) −2.90255 5.02736i −0.107650 0.186454i 0.807168 0.590322i \(-0.200999\pi\)
−0.914818 + 0.403867i \(0.867666\pi\)
\(728\) 0.228521 9.12218i 0.00846956 0.338090i
\(729\) 26.9832 + 0.952068i 0.999378 + 0.0352618i
\(730\) 8.45156 4.78588i 0.312806 0.177133i
\(731\) 4.96258 + 1.32972i 0.183548 + 0.0491814i
\(732\) −45.5599 13.3170i −1.68394 0.492212i
\(733\) 0.898647 0.240792i 0.0331923 0.00889384i −0.242185 0.970230i \(-0.577864\pi\)
0.275377 + 0.961336i \(0.411197\pi\)
\(734\) 5.68285 + 5.77854i 0.209758 + 0.213290i
\(735\) −2.02364 2.04757i −0.0746430 0.0755257i
\(736\) 21.7342 + 23.6289i 0.801134 + 0.870973i
\(737\) 80.0891i 2.95012i
\(738\) 3.16822 + 12.8521i 0.116624 + 0.473093i
\(739\) 5.91328 5.91328i 0.217523 0.217523i −0.589931 0.807454i \(-0.700845\pi\)
0.807454 + 0.589931i \(0.200845\pi\)
\(740\) −0.300974 + 18.0236i −0.0110640 + 0.662561i
\(741\) 2.80195 + 4.91968i 0.102932 + 0.180729i
\(742\) −25.0624 0.209242i −0.920068 0.00768150i
\(743\) 20.3899 + 11.7721i 0.748032 + 0.431876i 0.824982 0.565158i \(-0.191185\pi\)
−0.0769504 + 0.997035i \(0.524518\pi\)
\(744\) 27.9218 + 8.41511i 1.02366 + 0.308513i
\(745\) −5.69647 + 3.28886i −0.208703 + 0.120494i
\(746\) −25.1502 + 14.2418i −0.920814 + 0.521431i
\(747\) −3.46730 + 0.885505i −0.126862 + 0.0323989i
\(748\) 2.03611 + 8.14017i 0.0744475 + 0.297634i
\(749\) −24.5823 6.58682i −0.898219 0.240677i
\(750\) −26.0292 + 14.5382i −0.950453 + 0.530861i
\(751\) 13.0649 + 7.54301i 0.476744 + 0.275248i 0.719059 0.694949i \(-0.244573\pi\)
−0.242315 + 0.970198i \(0.577907\pi\)
\(752\) −22.6781 0.757607i −0.826985 0.0276271i
\(753\) 1.89846 + 7.25549i 0.0691838 + 0.264405i
\(754\) 2.28181 + 8.80936i 0.0830985 + 0.320818i
\(755\) −14.0470 14.0470i −0.511222 0.511222i
\(756\) −24.7939 15.4731i −0.901745 0.562752i
\(757\) 4.48920 4.48920i 0.163163 0.163163i −0.620803 0.783966i \(-0.713193\pi\)
0.783966 + 0.620803i \(0.213193\pi\)
\(758\) −2.89388 + 4.91709i −0.105111 + 0.178597i
\(759\) 57.0481 14.9271i 2.07071 0.541821i
\(760\) −14.3276 + 3.45694i −0.519717 + 0.125396i
\(761\) −19.0628 + 33.0177i −0.691025 + 1.19689i 0.280477 + 0.959861i \(0.409507\pi\)
−0.971502 + 0.237030i \(0.923826\pi\)
\(762\) 9.22742 32.5762i 0.334274 1.18011i
\(763\) −1.57072 + 5.86202i −0.0568640 + 0.212219i
\(764\) −6.07099 3.64157i −0.219641 0.131747i
\(765\) −2.74493 + 2.68114i −0.0992433 + 0.0969368i
\(766\) 21.2270 + 5.87813i 0.766963 + 0.212385i
\(767\) 8.10989 + 14.0467i 0.292831 + 0.507198i
\(768\) 27.6397 + 2.01205i 0.997361 + 0.0726034i
\(769\) 17.5683 30.4291i 0.633528 1.09730i −0.353297 0.935511i \(-0.614940\pi\)
0.986825 0.161791i \(-0.0517271\pi\)
\(770\) 31.1092 30.5940i 1.12110 1.10253i
\(771\) −4.83265 + 2.75238i −0.174044 + 0.0991247i
\(772\) −0.496223 + 29.7160i −0.0178595 + 1.06950i
\(773\) 23.4773 +