Properties

Label 144.2.u.a.11.10
Level $144$
Weight $2$
Character 144.11
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 11.10
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.10

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

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

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

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 0.631188 0.775630i \(-0.282568\pi\)
0.158810 + 0.987309i \(0.449234\pi\)
\(6\) 2.35677 0.667570i 0.962146 0.272534i
\(7\) 1.40613 2.43549i 0.531468 0.920530i −0.467857 0.883804i \(-0.654974\pi\)
0.999325 0.0367260i \(-0.0116929\pi\)
\(8\) 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 0.763093 0.646288i \(-0.223680\pi\)
0.984002 + 0.178156i \(0.0570130\pi\)
\(12\) 0.0781971 + 3.46322i 0.0225736 + 0.999745i
\(13\) −1.10810 0.296913i −0.307330 0.0823489i 0.101858 0.994799i \(-0.467521\pi\)
−0.409188 + 0.912450i \(0.634188\pi\)
\(14\) 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 \(0.0270290\pi\)
−0.996397 + 0.0848120i \(0.972971\pi\)
\(18\) −3.05970 2.93908i −0.721179 0.692748i
\(19\) −2.01481 2.01481i −0.462228 0.462228i 0.437157 0.899385i \(-0.355985\pi\)
−0.899385 + 0.437157i \(0.855985\pi\)
\(20\) −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 −0.915504 0.402310i \(-0.868208\pi\)
−0.109341 + 0.994004i \(0.534874\pi\)
\(24\) −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 0.282101 0.959385i \(-0.408969\pi\)
0.723999 + 0.689801i \(0.242302\pi\)
\(30\) 4.47919 0.0637289i 0.817784 0.0116353i
\(31\) −5.15522 + 2.97637i −0.925905 + 0.534572i −0.885514 0.464612i \(-0.846194\pi\)
−0.0403909 + 0.999184i \(0.512860\pi\)
\(32\) −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 0.932941 0.360028i \(-0.117233\pi\)
−0.360028 + 0.932941i \(0.617233\pi\)
\(38\) 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 0.961745 0.273947i \(-0.0883292\pi\)
−0.718117 + 0.695922i \(0.754996\pi\)
\(42\) 1.68806 6.67858i 0.260474 1.03053i
\(43\) −1.90129 7.09570i −0.289944 1.08208i −0.945151 0.326635i \(-0.894085\pi\)
0.655207 0.755450i \(-0.272581\pi\)
\(44\) −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 −0.995293 0.0969068i \(-0.969105\pi\)
0.581570 + 0.813496i \(0.302438\pi\)
\(48\) 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 −0.943489 0.331403i \(-0.892478\pi\)
0.331403 + 0.943489i \(0.392478\pi\)
\(54\) −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 0.139552 + 0.990215i \(0.455434\pi\)
−0.615963 + 0.787775i \(0.711233\pi\)
\(60\) −1.50111 + 6.15476i −0.193792 + 0.794576i
\(61\) 3.54643 + 13.2354i 0.454074 + 1.69463i 0.690797 + 0.723048i \(0.257260\pi\)
−0.236724 + 0.971577i \(0.576074\pi\)
\(62\) −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 −0.347930 0.937520i \(-0.613115\pi\)
0.770077 0.637952i \(-0.220218\pi\)
\(68\) 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 \(0.140914\pi\)
−0.903601 + 0.428375i \(0.859086\pi\)
\(72\) 2.49623 + 8.10980i 0.294184 + 0.955749i
\(73\) 3.75535i 0.439531i −0.975553 0.219765i \(-0.929471\pi\)
0.975553 0.219765i \(-0.0705292\pi\)
\(74\) −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 0.323942 0.946077i \(-0.394992\pi\)
−0.657356 + 0.753580i \(0.728325\pi\)
\(80\) 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 0.980798 0.195028i \(-0.0624797\pi\)
−0.946910 + 0.321500i \(0.895813\pi\)
\(84\) 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 −0.907039 0.421047i \(-0.861663\pi\)
0.818157 + 0.574995i \(0.194996\pi\)
\(98\) 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 0.954188 0.299209i \(-0.0967227\pi\)
−0.975955 + 0.217971i \(0.930056\pi\)
\(102\) 0.466884 + 1.64827i 0.0462284 + 0.163203i
\(103\) −5.30341 9.18577i −0.522560 0.905101i −0.999655 0.0262492i \(-0.991644\pi\)
0.477095 0.878852i \(-0.341690\pi\)
\(104\) −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 0.326566 0.945174i \(-0.394109\pi\)
−0.945174 + 0.326566i \(0.894109\pi\)
\(108\) −9.17305 4.88416i −0.882678 0.469979i
\(109\) 1.52592 1.52592i 0.146157 0.146157i −0.630242 0.776399i \(-0.717044\pi\)
0.776399 + 0.630242i \(0.217044\pi\)
\(110\) −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 −0.204416 0.978884i \(-0.565529\pi\)
0.745531 + 0.666471i \(0.232196\pi\)
\(114\) −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 \(0.210146\pi\)
−0.789874 + 0.613270i \(0.789854\pi\)
\(128\) 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 0.628773 0.777589i \(-0.283558\pi\)
0.155739 + 0.987798i \(0.450224\pi\)
\(132\) 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 −0.490224 0.871596i \(-0.663085\pi\)
0.999937 0.0112514i \(-0.00358150\pi\)
\(138\) −9.68913 + 9.96882i −0.824793 + 0.848602i
\(139\) 1.20712 + 0.323448i 0.102387 + 0.0274345i 0.309649 0.950851i \(-0.399789\pi\)
−0.207262 + 0.978286i \(0.566455\pi\)
\(140\) −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 0.113687 0.993517i \(-0.463734\pi\)
−0.398302 + 0.917254i \(0.630401\pi\)
\(150\) −3.93142 0.993697i −0.320999 0.0811350i
\(151\) −5.43126 + 9.40721i −0.441989 + 0.765548i −0.997837 0.0657361i \(-0.979060\pi\)
0.555848 + 0.831284i \(0.312394\pi\)
\(152\) −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 −0.142366 0.989814i \(-0.545471\pi\)
−0.618199 + 0.786021i \(0.712138\pi\)
\(158\) 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 0.548758 0.835981i \(-0.315101\pi\)
−0.835981 + 0.548758i \(0.815101\pi\)
\(164\) −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 −0.988024 0.154299i \(-0.950688\pi\)
−0.360385 + 0.932803i \(0.617355\pi\)
\(168\) −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 −0.621687 0.783266i \(-0.713552\pi\)
−0.146763 + 0.989172i \(0.546886\pi\)
\(174\) 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 −0.0668885 0.997760i \(-0.521307\pi\)
0.997760 + 0.0668885i \(0.0213072\pi\)
\(180\) 10.5139 3.14037i 0.783657 0.234069i
\(181\) −9.12083 9.12083i −0.677946 0.677946i 0.281589 0.959535i \(-0.409139\pi\)
−0.959535 + 0.281589i \(0.909139\pi\)
\(182\) −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 −0.794864 0.606788i \(-0.792458\pi\)
0.922926 + 0.384978i \(0.125791\pi\)
\(192\) −11.5936 + 7.58864i −0.836699 + 0.547663i
\(193\) 7.43004 + 12.8692i 0.534826 + 0.926346i 0.999172 + 0.0406916i \(0.0129561\pi\)
−0.464346 + 0.885654i \(0.653711\pi\)
\(194\) −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 −0.141368 0.989957i \(-0.545150\pi\)
0.989957 + 0.141368i \(0.0451501\pi\)
\(198\) −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 0.658975 + 0.752165i \(0.270990\pi\)
−0.946771 + 0.321907i \(0.895676\pi\)
\(212\) 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 0.887605 0.460605i \(-0.152368\pi\)
0.0449068 + 0.998991i \(0.485701\pi\)
\(224\) −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 0.993562 + 0.113286i \(0.0361377\pi\)
−0.803807 + 0.594890i \(0.797196\pi\)
\(228\) 6.82016 7.13526i 0.451676 0.472544i
\(229\) 0.104652 0.390566i 0.00691559 0.0258093i −0.962382 0.271701i \(-0.912414\pi\)
0.969297 + 0.245891i \(0.0790806\pi\)
\(230\) −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 0.811271 0.584671i \(-0.198776\pi\)
−0.911975 + 0.410246i \(0.865443\pi\)
\(240\) 8.60061 9.30414i 0.555167 0.600579i
\(241\) −7.16669 + 12.4131i −0.461647 + 0.799596i −0.999043 0.0437337i \(-0.986075\pi\)
0.537396 + 0.843330i \(0.319408\pi\)
\(242\) 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 0.797102 0.603845i \(-0.206365\pi\)
−0.603845 + 0.797102i \(0.706365\pi\)
\(252\) −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 −0.410757 0.911745i \(-0.634736\pi\)
0.584215 + 0.811599i \(0.301402\pi\)
\(258\) −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 0.579112 0.815248i \(-0.303399\pi\)
−0.416469 + 0.909150i \(0.636733\pi\)
\(264\) −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 0.643619 0.765346i \(-0.277432\pi\)
−0.765346 + 0.643619i \(0.777432\pi\)
\(270\) −6.41482 + 11.8091i −0.390394 + 0.718678i
\(271\) 13.9357i 0.846534i −0.906005 0.423267i \(-0.860883\pi\)
0.906005 0.423267i \(-0.139117\pi\)
\(272\) −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 0.819774 0.572686i \(-0.194099\pi\)
0.996289 + 0.0860738i \(0.0274321\pi\)
\(278\) −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 0.296875 + 0.954916i \(0.404056\pi\)
−0.975419 + 0.220357i \(0.929278\pi\)
\(282\) −3.40503 + 13.4715i −0.202767 + 0.802217i
\(283\) −2.36412 0.633463i −0.140532 0.0376555i 0.187867 0.982194i \(-0.439843\pi\)
−0.328399 + 0.944539i \(0.606509\pi\)
\(284\) 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 0.471981 0.881609i \(-0.343539\pi\)
−0.0320565 + 0.999486i \(0.510206\pi\)
\(294\) −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 −0.853652 0.520843i \(-0.825618\pi\)
−0.520843 0.853652i \(-0.674382\pi\)
\(308\) −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 −0.219568 0.975597i \(-0.570465\pi\)
0.735108 + 0.677950i \(0.237131\pi\)
\(312\) 4.95165 + 2.65819i 0.280332 + 0.150490i
\(313\) −19.1380 11.0493i −1.08174 0.624544i −0.150376 0.988629i \(-0.548048\pi\)
−0.931366 + 0.364085i \(0.881382\pi\)
\(314\) 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 −0.802099 0.597192i \(-0.796283\pi\)
−0.396042 + 0.918232i \(0.629617\pi\)
\(318\) −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 0.938672 0.344812i \(-0.112057\pi\)
−0.985320 + 0.170720i \(0.945391\pi\)
\(332\) 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 −0.987487 0.157699i \(-0.949593\pi\)
0.357172 0.934038i \(-0.383741\pi\)
\(338\) 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 −0.889609 0.456724i \(-0.849023\pi\)
0.998785 + 0.0492700i \(0.0156895\pi\)
\(348\) 5.45141 + 18.6503i 0.292226 + 0.999759i
\(349\) −5.62138 20.9793i −0.300905 1.12299i −0.936413 0.350900i \(-0.885876\pi\)
0.635508 0.772095i \(-0.280791\pi\)
\(350\) −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 0.497100 0.867693i \(-0.334398\pi\)
−0.502894 + 0.864348i \(0.667731\pi\)
\(354\) 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 \(-0.965711\pi\)
0.994204 0.107512i \(-0.0342886\pi\)
\(360\) 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 0.364839 0.931071i \(-0.381124\pi\)
−0.623911 + 0.781495i \(0.714457\pi\)
\(368\) −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 0.682704 + 0.730695i \(0.260804\pi\)
−0.956587 + 0.291448i \(0.905863\pi\)
\(374\) −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 −0.776568 0.630033i \(-0.783041\pi\)
0.630033 + 0.776568i \(0.283041\pi\)
\(380\) 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 0.595555 0.803314i \(-0.296932\pi\)
−0.993468 + 0.114109i \(0.963599\pi\)
\(384\) −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 −0.865719 0.500531i \(-0.833138\pi\)
0.499469 0.866332i \(-0.333529\pi\)
\(390\) −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 0.525230 0.850961i \(-0.323979\pi\)
0.850961 0.525230i \(-0.176021\pi\)
\(398\) −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 −0.818667 0.574269i \(-0.805286\pi\)
0.0879981 + 0.996121i \(0.471953\pi\)
\(402\) −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 −0.0818133 0.996648i \(-0.526071\pi\)
0.822216 + 0.569176i \(0.192738\pi\)
\(410\) −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 0.329956 0.943996i \(-0.392966\pi\)
−0.186248 + 0.982503i \(0.559633\pi\)
\(420\) 12.8791 + 12.3103i 0.628436 + 0.600684i
\(421\) 8.89561 2.38357i 0.433546 0.116168i −0.0354445 0.999372i \(-0.511285\pi\)
0.468990 + 0.883203i \(0.344618\pi\)
\(422\) −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 −0.225647 0.974209i \(-0.572450\pi\)
0.956513 0.291688i \(-0.0942170\pi\)
\(440\) 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 0.500550 0.865708i \(-0.333131\pi\)
0.866343 + 0.499450i \(0.166464\pi\)
\(444\) −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 \(-0.782048\pi\)
0.774599 0.632452i \(-0.217952\pi\)
\(450\) 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 0.574161 0.818743i \(-0.305329\pi\)
−0.421972 + 0.906609i \(0.638662\pi\)
\(458\) 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 −0.166221 0.986088i \(-0.553157\pi\)
0.349092 + 0.937088i \(0.386490\pi\)
\(462\) −0.587888 41.3197i −0.0273510 1.92237i
\(463\) −20.2888 + 11.7137i −0.942899 + 0.544383i −0.890868 0.454263i \(-0.849903\pi\)
−0.0520310 + 0.998645i \(0.516569\pi\)
\(464\) 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 −0.943847 0.330384i \(-0.892822\pi\)
0.330384 + 0.943847i \(0.392822\pi\)
\(468\) −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 0.109405 + 0.993997i \(0.465105\pi\)
−0.915529 + 0.402251i \(0.868228\pi\)
\(480\) 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 −0.970293 0.241935i \(-0.922218\pi\)
0.961265 + 0.275625i \(0.0888846\pi\)
\(492\) −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 −0.970476 0.241197i \(-0.922460\pi\)
0.961056 + 0.276355i \(0.0891266\pi\)
\(500\) 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 \(-0.961552\pi\)
0.992714 0.120495i \(-0.0384483\pi\)
\(504\) 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 0.581191 + 0.813768i \(0.302587\pi\)
−0.910210 + 0.414148i \(0.864080\pi\)
\(510\) 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 −0.751161 0.660120i \(-0.770506\pi\)
0.660120 + 0.751161i \(0.270506\pi\)
\(524\) −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 −0.0237613 0.999718i \(-0.507564\pi\)
0.999718 + 0.0237613i \(0.00756417\pi\)
\(542\) 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 0.193271 0.981145i \(-0.438090\pi\)
0.657951 + 0.753061i \(0.271424\pi\)
\(548\) −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 0.897244 0.441535i \(-0.145566\pi\)
−0.441535 + 0.897244i \(0.645566\pi\)
\(558\) 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 −0.206852 0.978372i \(-0.566322\pi\)
−0.668325 + 0.743869i \(0.732988\pi\)
\(564\) −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 −0.902788 0.430087i \(-0.858483\pi\)
0.823860 + 0.566794i \(0.191816\pi\)
\(570\) −9.15309 8.89629i −0.383381 0.372624i
\(571\) 16.3264 + 4.37466i 0.683241 + 0.183074i 0.583712 0.811961i \(-0.301600\pi\)
0.0995287 + 0.995035i \(0.468266\pi\)
\(572\) 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 −0.685528 0.728046i \(-0.740429\pi\)
−0.229662 + 0.973271i \(0.573762\pi\)
\(588\) 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 \(-0.990984\pi\)
0.999599 0.0283197i \(-0.00901564\pi\)
\(594\) 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 0.156568 0.987667i \(-0.449957\pi\)
0.933629 + 0.358242i \(0.116624\pi\)
\(600\) 5.90929 + 5.55466i 0.241246 + 0.226768i
\(601\) −2.43951 1.40845i −0.0995098 0.0574520i 0.449419 0.893321i \(-0.351631\pi\)
−0.548929 + 0.835869i \(0.684964\pi\)
\(602\) 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 −0.926710 0.375777i \(-0.877376\pi\)
−0.137922 + 0.990443i \(0.544042\pi\)
\(608\) 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 0.777208 0.629243i \(-0.216635\pi\)
−0.629243 + 0.777208i \(0.716635\pi\)
\(614\) 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 0.999319 + 0.0369091i \(0.0117512\pi\)
−0.467695 + 0.883890i \(0.654915\pi\)
\(618\) −18.6310 18.1083i −0.749450 0.728424i
\(619\) −12.6542 47.2262i −0.508617 1.89818i −0.433858 0.900981i \(-0.642848\pi\)
−0.0747583 0.997202i \(-0.523819\pi\)
\(620\) 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 0.377780 0.925895i \(-0.376688\pi\)
−0.612959 + 0.790115i \(0.710021\pi\)
\(642\) −19.3525 10.8091i −0.763784 0.426600i
\(643\) −7.59808 + 28.3564i −0.299639 + 1.11827i 0.637823 + 0.770183i \(0.279835\pi\)
−0.937463 + 0.348086i \(0.886832\pi\)
\(644\) 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 \(0.0119366\pi\)
−0.999297 + 0.0374911i \(0.988063\pi\)
\(648\) −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 0.746792 + 0.665057i \(0.231593\pi\)
−0.979270 + 0.202560i \(0.935074\pi\)
\(654\) 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 −0.999458 0.0329291i \(-0.989516\pi\)
0.849091 0.528246i \(-0.177150\pi\)
\(660\) 0.857882 + 37.9941i 0.0333930 + 1.47892i
\(661\) 9.76236 36.4336i 0.379712 1.41710i −0.466625 0.884455i \(-0.654530\pi\)
0.846337 0.532648i \(-0.178803\pi\)
\(662\) 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 −0.997333 0.0729916i \(-0.976745\pi\)
0.561879 + 0.827220i \(0.310079\pi\)
\(674\) 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 0.925911 + 0.377741i \(0.123299\pi\)
−0.612992 + 0.790089i \(0.710034\pi\)
\(678\) 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 0.997315 0.0732336i \(-0.0233319\pi\)
−0.0732336 + 0.997315i \(0.523332\pi\)
\(684\) −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 0.600980 0.799264i \(-0.294777\pi\)
0.920096 + 0.391693i \(0.128111\pi\)
\(692\) 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 0.183088 0.983097i \(-0.441391\pi\)
−0.983097 + 0.183088i \(0.941391\pi\)
\(702\) 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 −0.543911 0.839143i \(-0.683057\pi\)
−0.0514698 + 0.998675i \(0.516391\pi\)
\(710\) −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 −0.914818 0.403867i \(-0.867666\pi\)
0.807168 + 0.590322i \(0.200999\pi\)
\(728\) 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 0.275377 0.961336i \(-0.411197\pi\)
−0.242185 + 0.970230i \(0.577864\pi\)
\(734\) 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 0.807454 0.589931i \(-0.200845\pi\)
−0.589931 + 0.807454i \(0.700845\pi\)
\(740\) −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 −0.0769504 0.997035i \(-0.524518\pi\)
0.824982 + 0.565158i \(0.191185\pi\)
\(744\) 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 −0.242315 0.970198i \(-0.577907\pi\)
0.719059 + 0.694949i \(0.244573\pi\)
\(752\) −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 0.783966 0.620803i \(-0.213193\pi\)
−0.620803 + 0.783966i \(0.713193\pi\)
\(758\) −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 −0.971502 0.237030i \(-0.923826\pi\)
0.280477 0.959861i \(-0.409507\pi\)
\(762\) 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 0.986825 + 0.161791i \(0.0517271\pi\)
−0.353297 + 0.935511i \(0.614940\pi\)
\(770\) 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 23.4773i 0.844420