Properties

Label 192.2.r.a.181.12
Level $192$
Weight $2$
Character 192.181
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 181.12
Character \(\chi\) \(=\) 192.181
Dual form 192.2.r.a.157.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.914936 + 1.07837i) q^{2} +(0.980785 - 0.195090i) q^{3} +(-0.325783 + 1.97329i) q^{4} +(-1.12099 - 1.67768i) q^{5} +(1.10774 + 0.879159i) q^{6} +(3.63169 + 1.50430i) q^{7} +(-2.42601 + 1.45412i) q^{8} +(0.923880 - 0.382683i) q^{9} +O(q^{10})\) \(q+(0.914936 + 1.07837i) q^{2} +(0.980785 - 0.195090i) q^{3} +(-0.325783 + 1.97329i) q^{4} +(-1.12099 - 1.67768i) q^{5} +(1.10774 + 0.879159i) q^{6} +(3.63169 + 1.50430i) q^{7} +(-2.42601 + 1.45412i) q^{8} +(0.923880 - 0.382683i) q^{9} +(0.783533 - 2.74382i) q^{10} +(0.181766 - 0.913800i) q^{11} +(0.0654458 + 1.99893i) q^{12} +(-2.94399 + 4.40600i) q^{13} +(1.70057 + 5.29266i) q^{14} +(-1.42675 - 1.42675i) q^{15} +(-3.78773 - 1.28573i) q^{16} +(2.67163 - 2.67163i) q^{17} +(1.25797 + 0.646157i) q^{18} +(-6.32808 - 4.22829i) q^{19} +(3.67574 - 1.66547i) q^{20} +(3.85539 + 0.766884i) q^{21} +(1.15172 - 0.640057i) q^{22} +(-3.18943 - 7.69996i) q^{23} +(-2.09572 + 1.89947i) q^{24} +(0.355428 - 0.858079i) q^{25} +(-7.44489 + 0.856480i) q^{26} +(0.831470 - 0.555570i) q^{27} +(-4.15156 + 6.67630i) q^{28} +(0.769671 + 3.86940i) q^{29} +(0.233185 - 2.84395i) q^{30} +4.08619i q^{31} +(-2.07903 - 5.26095i) q^{32} -0.931702i q^{33} +(5.32538 + 0.436646i) q^{34} +(-1.54736 - 7.77911i) q^{35} +(0.454160 + 1.94775i) q^{36} +(2.30594 - 1.54078i) q^{37} +(-1.23011 - 10.6927i) q^{38} +(-2.02786 + 4.89568i) q^{39} +(5.15908 + 2.44002i) q^{40} +(0.846170 + 2.04283i) q^{41} +(2.70044 + 4.85920i) q^{42} +(3.25306 + 0.647073i) q^{43} +(1.74397 + 0.656378i) q^{44} +(-1.67768 - 1.12099i) q^{45} +(5.38532 - 10.4844i) q^{46} +(-1.41580 + 1.41580i) q^{47} +(-3.96578 - 0.522075i) q^{48} +(5.97654 + 5.97654i) q^{49} +(1.25052 - 0.401803i) q^{50} +(2.09908 - 3.14150i) q^{51} +(-7.73520 - 7.24475i) q^{52} +(-2.22367 + 11.1792i) q^{53} +(1.35985 + 0.388324i) q^{54} +(-1.73682 + 0.719415i) q^{55} +(-10.9980 + 1.63146i) q^{56} +(-7.03139 - 2.91250i) q^{57} +(-3.46846 + 4.37024i) q^{58} +(-4.86163 - 7.27594i) q^{59} +(3.28020 - 2.35057i) q^{60} +(-7.71722 + 1.53505i) q^{61} +(-4.40645 + 3.73861i) q^{62} +3.93092 q^{63} +(3.77109 - 7.05541i) q^{64} +10.6920 q^{65} +(1.00472 - 0.852448i) q^{66} +(10.8476 - 2.15772i) q^{67} +(4.40152 + 6.14226i) q^{68} +(-4.63033 - 6.92978i) q^{69} +(6.97306 - 8.78603i) q^{70} +(-8.29620 - 3.43640i) q^{71} +(-1.68488 + 2.27182i) q^{72} +(-1.40360 + 0.581389i) q^{73} +(3.77132 + 1.07695i) q^{74} +(0.181196 - 0.910932i) q^{75} +(10.4052 - 11.1096i) q^{76} +(2.03474 - 3.04521i) q^{77} +(-7.13474 + 2.29245i) q^{78} +(7.55405 + 7.55405i) q^{79} +(2.08896 + 7.79588i) q^{80} +(0.707107 - 0.707107i) q^{81} +(-1.42875 + 2.78155i) q^{82} +(3.83208 + 2.56051i) q^{83} +(-2.76930 + 7.35795i) q^{84} +(-7.47700 - 1.48727i) q^{85} +(2.27855 + 4.10004i) q^{86} +(1.50976 + 3.64489i) q^{87} +(0.887804 + 2.48120i) q^{88} +(-2.90446 + 7.01198i) q^{89} +(-0.326123 - 2.83480i) q^{90} +(-17.3196 + 11.5726i) q^{91} +(16.2333 - 3.78514i) q^{92} +(0.797177 + 4.00768i) q^{93} +(-2.82214 - 0.231397i) q^{94} +15.3564i q^{95} +(-3.06545 - 4.75426i) q^{96} +5.94812i q^{97} +(-0.976796 + 11.9131i) q^{98} +(-0.181766 - 0.913800i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{5}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.914936 + 1.07837i 0.646958 + 0.762526i
\(3\) 0.980785 0.195090i 0.566257 0.112635i
\(4\) −0.325783 + 1.97329i −0.162892 + 0.986644i
\(5\) −1.12099 1.67768i −0.501322 0.750281i 0.491371 0.870950i \(-0.336496\pi\)
−0.992693 + 0.120670i \(0.961496\pi\)
\(6\) 1.10774 + 0.879159i 0.452231 + 0.358915i
\(7\) 3.63169 + 1.50430i 1.37265 + 0.568571i 0.942506 0.334189i \(-0.108462\pi\)
0.430145 + 0.902760i \(0.358462\pi\)
\(8\) −2.42601 + 1.45412i −0.857726 + 0.514108i
\(9\) 0.923880 0.382683i 0.307960 0.127561i
\(10\) 0.783533 2.74382i 0.247775 0.867671i
\(11\) 0.181766 0.913800i 0.0548045 0.275521i −0.943660 0.330917i \(-0.892642\pi\)
0.998464 + 0.0553958i \(0.0176420\pi\)
\(12\) 0.0654458 + 1.99893i 0.0188926 + 0.577041i
\(13\) −2.94399 + 4.40600i −0.816517 + 1.22200i 0.155672 + 0.987809i \(0.450246\pi\)
−0.972189 + 0.234196i \(0.924754\pi\)
\(14\) 1.70057 + 5.29266i 0.454497 + 1.41452i
\(15\) −1.42675 1.42675i −0.368385 0.368385i
\(16\) −3.78773 1.28573i −0.946933 0.321432i
\(17\) 2.67163 2.67163i 0.647965 0.647965i −0.304536 0.952501i \(-0.598501\pi\)
0.952501 + 0.304536i \(0.0985014\pi\)
\(18\) 1.25797 + 0.646157i 0.296506 + 0.152301i
\(19\) −6.32808 4.22829i −1.45176 0.970036i −0.996834 0.0795077i \(-0.974665\pi\)
−0.454927 0.890529i \(-0.650335\pi\)
\(20\) 3.67574 1.66547i 0.821921 0.372411i
\(21\) 3.85539 + 0.766884i 0.841314 + 0.167348i
\(22\) 1.15172 0.640057i 0.245548 0.136461i
\(23\) −3.18943 7.69996i −0.665041 1.60555i −0.789800 0.613365i \(-0.789815\pi\)
0.124758 0.992187i \(-0.460185\pi\)
\(24\) −2.09572 + 1.89947i −0.427786 + 0.387727i
\(25\) 0.355428 0.858079i 0.0710856 0.171616i
\(26\) −7.44489 + 0.856480i −1.46006 + 0.167969i
\(27\) 0.831470 0.555570i 0.160016 0.106920i
\(28\) −4.15156 + 6.67630i −0.784570 + 1.26170i
\(29\) 0.769671 + 3.86940i 0.142924 + 0.718529i 0.984079 + 0.177734i \(0.0568766\pi\)
−0.841154 + 0.540795i \(0.818123\pi\)
\(30\) 0.233185 2.84395i 0.0425736 0.519232i
\(31\) 4.08619i 0.733902i 0.930240 + 0.366951i \(0.119598\pi\)
−0.930240 + 0.366951i \(0.880402\pi\)
\(32\) −2.07903 5.26095i −0.367525 0.930014i
\(33\) 0.931702i 0.162189i
\(34\) 5.32538 + 0.436646i 0.913296 + 0.0748842i
\(35\) −1.54736 7.77911i −0.261552 1.31491i
\(36\) 0.454160 + 1.94775i 0.0756933 + 0.324625i
\(37\) 2.30594 1.54078i 0.379094 0.253302i −0.351395 0.936227i \(-0.614292\pi\)
0.730488 + 0.682925i \(0.239292\pi\)
\(38\) −1.23011 10.6927i −0.199551 1.73458i
\(39\) −2.02786 + 4.89568i −0.324717 + 0.783937i
\(40\) 5.15908 + 2.44002i 0.815721 + 0.385802i
\(41\) 0.846170 + 2.04283i 0.132149 + 0.319037i 0.976079 0.217417i \(-0.0697633\pi\)
−0.843929 + 0.536455i \(0.819763\pi\)
\(42\) 2.70044 + 4.85920i 0.416687 + 0.749791i
\(43\) 3.25306 + 0.647073i 0.496086 + 0.0986777i 0.436791 0.899563i \(-0.356115\pi\)
0.0592949 + 0.998241i \(0.481115\pi\)
\(44\) 1.74397 + 0.656378i 0.262914 + 0.0989527i
\(45\) −1.67768 1.12099i −0.250094 0.167107i
\(46\) 5.38532 10.4844i 0.794022 1.54584i
\(47\) −1.41580 + 1.41580i −0.206516 + 0.206516i −0.802785 0.596269i \(-0.796649\pi\)
0.596269 + 0.802785i \(0.296649\pi\)
\(48\) −3.96578 0.522075i −0.572412 0.0753550i
\(49\) 5.97654 + 5.97654i 0.853792 + 0.853792i
\(50\) 1.25052 0.401803i 0.176851 0.0568235i
\(51\) 2.09908 3.14150i 0.293931 0.439898i
\(52\) −7.73520 7.24475i −1.07268 1.00467i
\(53\) −2.22367 + 11.1792i −0.305445 + 1.53558i 0.457557 + 0.889180i \(0.348724\pi\)
−0.763002 + 0.646396i \(0.776276\pi\)
\(54\) 1.35985 + 0.388324i 0.185053 + 0.0528443i
\(55\) −1.73682 + 0.719415i −0.234193 + 0.0970058i
\(56\) −10.9980 + 1.63146i −1.46966 + 0.218013i
\(57\) −7.03139 2.91250i −0.931330 0.385770i
\(58\) −3.46846 + 4.37024i −0.455431 + 0.573841i
\(59\) −4.86163 7.27594i −0.632930 0.947246i −0.999856 0.0169960i \(-0.994590\pi\)
0.366926 0.930250i \(-0.380410\pi\)
\(60\) 3.28020 2.35057i 0.423472 0.303458i
\(61\) −7.71722 + 1.53505i −0.988089 + 0.196543i −0.662576 0.748995i \(-0.730537\pi\)
−0.325513 + 0.945538i \(0.605537\pi\)
\(62\) −4.40645 + 3.73861i −0.559619 + 0.474803i
\(63\) 3.93092 0.495249
\(64\) 3.77109 7.05541i 0.471387 0.881927i
\(65\) 10.6920 1.32618
\(66\) 1.00472 0.852448i 0.123673 0.104929i
\(67\) 10.8476 2.15772i 1.32524 0.263608i 0.518789 0.854902i \(-0.326383\pi\)
0.806456 + 0.591295i \(0.201383\pi\)
\(68\) 4.40152 + 6.14226i 0.533762 + 0.744859i
\(69\) −4.63033 6.92978i −0.557426 0.834247i
\(70\) 6.97306 8.78603i 0.833440 1.05013i
\(71\) −8.29620 3.43640i −0.984577 0.407825i −0.168458 0.985709i \(-0.553879\pi\)
−0.816119 + 0.577884i \(0.803879\pi\)
\(72\) −1.68488 + 2.27182i −0.198565 + 0.267737i
\(73\) −1.40360 + 0.581389i −0.164279 + 0.0680464i −0.463307 0.886198i \(-0.653337\pi\)
0.299029 + 0.954244i \(0.403337\pi\)
\(74\) 3.77132 + 1.07695i 0.438407 + 0.125193i
\(75\) 0.181196 0.910932i 0.0209227 0.105185i
\(76\) 10.4052 11.1096i 1.19356 1.27436i
\(77\) 2.03474 3.04521i 0.231881 0.347034i
\(78\) −7.13474 + 2.29245i −0.807851 + 0.259569i
\(79\) 7.55405 + 7.55405i 0.849897 + 0.849897i 0.990120 0.140223i \(-0.0447818\pi\)
−0.140223 + 0.990120i \(0.544782\pi\)
\(80\) 2.08896 + 7.79588i 0.233553 + 0.871606i
\(81\) 0.707107 0.707107i 0.0785674 0.0785674i
\(82\) −1.42875 + 2.78155i −0.157779 + 0.307171i
\(83\) 3.83208 + 2.56051i 0.420625 + 0.281053i 0.747817 0.663905i \(-0.231102\pi\)
−0.327192 + 0.944958i \(0.606102\pi\)
\(84\) −2.76930 + 7.35795i −0.302156 + 0.802818i
\(85\) −7.47700 1.48727i −0.810994 0.161317i
\(86\) 2.27855 + 4.10004i 0.245703 + 0.442119i
\(87\) 1.50976 + 3.64489i 0.161864 + 0.390773i
\(88\) 0.887804 + 2.48120i 0.0946402 + 0.264497i
\(89\) −2.90446 + 7.01198i −0.307872 + 0.743268i 0.691902 + 0.721992i \(0.256773\pi\)
−0.999774 + 0.0212767i \(0.993227\pi\)
\(90\) −0.326123 2.83480i −0.0343764 0.298814i
\(91\) −17.3196 + 11.5726i −1.81559 + 1.21314i
\(92\) 16.2333 3.78514i 1.69244 0.394628i
\(93\) 0.797177 + 4.00768i 0.0826634 + 0.415577i
\(94\) −2.82214 0.231397i −0.291081 0.0238668i
\(95\) 15.3564i 1.57553i
\(96\) −3.06545 4.75426i −0.312866 0.485230i
\(97\) 5.94812i 0.603940i 0.953317 + 0.301970i \(0.0976442\pi\)
−0.953317 + 0.301970i \(0.902356\pi\)
\(98\) −0.976796 + 11.9131i −0.0986713 + 1.20341i
\(99\) −0.181766 0.913800i −0.0182682 0.0918403i
\(100\) 1.57744 + 0.980909i 0.157744 + 0.0980909i
\(101\) 2.66956 1.78374i 0.265631 0.177489i −0.415621 0.909538i \(-0.636436\pi\)
0.681252 + 0.732049i \(0.261436\pi\)
\(102\) 5.30824 0.610674i 0.525594 0.0604658i
\(103\) 0.870540 2.10167i 0.0857769 0.207084i −0.875171 0.483814i \(-0.839251\pi\)
0.960948 + 0.276731i \(0.0892510\pi\)
\(104\) 0.735340 14.9699i 0.0721060 1.46792i
\(105\) −3.03526 7.32777i −0.296211 0.715117i
\(106\) −14.0898 + 7.83027i −1.36853 + 0.760543i
\(107\) −5.54477 1.10292i −0.536033 0.106624i −0.0803517 0.996767i \(-0.525604\pi\)
−0.455681 + 0.890143i \(0.650604\pi\)
\(108\) 0.825421 + 1.82172i 0.0794262 + 0.175296i
\(109\) 9.70640 + 6.48561i 0.929705 + 0.621209i 0.925486 0.378782i \(-0.123657\pi\)
0.00421890 + 0.999991i \(0.498657\pi\)
\(110\) −2.36488 1.21472i −0.225482 0.115819i
\(111\) 1.96104 1.96104i 0.186134 0.186134i
\(112\) −11.8218 10.3672i −1.11705 0.979612i
\(113\) 8.10737 + 8.10737i 0.762677 + 0.762677i 0.976805 0.214129i \(-0.0686912\pi\)
−0.214129 + 0.976805i \(0.568691\pi\)
\(114\) −3.29251 10.2472i −0.308372 0.959740i
\(115\) −9.34274 + 13.9824i −0.871215 + 1.30387i
\(116\) −7.88618 + 0.258197i −0.732213 + 0.0239730i
\(117\) −1.03379 + 5.19723i −0.0955742 + 0.480484i
\(118\) 3.39811 11.8997i 0.312821 1.09545i
\(119\) 13.7215 5.68361i 1.25784 0.521016i
\(120\) 5.53597 + 1.38665i 0.505363 + 0.126584i
\(121\) 9.36068 + 3.87732i 0.850971 + 0.352484i
\(122\) −8.71612 6.91758i −0.789121 0.626288i
\(123\) 1.22845 + 1.83850i 0.110765 + 0.165772i
\(124\) −8.06323 1.33121i −0.724100 0.119547i
\(125\) −11.7328 + 2.33380i −1.04941 + 0.208741i
\(126\) 3.59654 + 4.23900i 0.320405 + 0.377640i
\(127\) 9.92782 0.880951 0.440476 0.897765i \(-0.354810\pi\)
0.440476 + 0.897765i \(0.354810\pi\)
\(128\) 11.0587 2.38860i 0.977459 0.211125i
\(129\) 3.31679 0.292027
\(130\) 9.78253 + 11.5300i 0.857985 + 1.01125i
\(131\) 1.26079 0.250788i 0.110156 0.0219114i −0.139704 0.990193i \(-0.544615\pi\)
0.249861 + 0.968282i \(0.419615\pi\)
\(132\) 1.83852 + 0.303533i 0.160022 + 0.0264192i
\(133\) −16.6211 24.8752i −1.44123 2.15695i
\(134\) 12.2517 + 9.72360i 1.05838 + 0.839991i
\(135\) −1.86414 0.772151i −0.160439 0.0664562i
\(136\) −2.59655 + 10.3663i −0.222652 + 0.888900i
\(137\) −7.43980 + 3.08167i −0.635625 + 0.263285i −0.677141 0.735853i \(-0.736781\pi\)
0.0415158 + 0.999138i \(0.486781\pi\)
\(138\) 3.23644 11.3335i 0.275504 0.964775i
\(139\) −0.726573 + 3.65273i −0.0616271 + 0.309821i −0.999288 0.0377312i \(-0.987987\pi\)
0.937661 + 0.347552i \(0.112987\pi\)
\(140\) 15.8545 0.519084i 1.33995 0.0438706i
\(141\) −1.11239 + 1.66481i −0.0936802 + 0.140202i
\(142\) −3.88477 12.0905i −0.326002 1.01461i
\(143\) 3.49108 + 3.49108i 0.291939 + 0.291939i
\(144\) −3.99143 + 0.261643i −0.332619 + 0.0218036i
\(145\) 5.62881 5.62881i 0.467447 0.467447i
\(146\) −1.91116 0.981669i −0.158168 0.0812435i
\(147\) 7.02767 + 4.69574i 0.579632 + 0.387298i
\(148\) 2.28916 + 5.05224i 0.188168 + 0.415291i
\(149\) 12.5338 + 2.49312i 1.02680 + 0.204244i 0.679629 0.733556i \(-0.262141\pi\)
0.347176 + 0.937800i \(0.387141\pi\)
\(150\) 1.14811 0.638048i 0.0937426 0.0520964i
\(151\) −2.30327 5.56058i −0.187437 0.452514i 0.802027 0.597287i \(-0.203755\pi\)
−0.989465 + 0.144773i \(0.953755\pi\)
\(152\) 21.5004 + 1.05613i 1.74392 + 0.0856631i
\(153\) 1.44587 3.49065i 0.116892 0.282202i
\(154\) 5.14554 0.591957i 0.414639 0.0477012i
\(155\) 6.85532 4.58058i 0.550632 0.367921i
\(156\) −8.99995 5.59648i −0.720573 0.448077i
\(157\) −2.62506 13.1971i −0.209503 1.05324i −0.932163 0.362038i \(-0.882081\pi\)
0.722661 0.691203i \(-0.242919\pi\)
\(158\) −1.23462 + 15.0576i −0.0982212 + 1.19792i
\(159\) 11.3982i 0.903934i
\(160\) −6.49561 + 9.38542i −0.513523 + 0.741983i
\(161\) 32.7617i 2.58199i
\(162\) 1.40948 + 0.115568i 0.110739 + 0.00907991i
\(163\) −3.13385 15.7549i −0.245462 1.23402i −0.885121 0.465361i \(-0.845924\pi\)
0.639659 0.768659i \(-0.279076\pi\)
\(164\) −4.30677 + 1.00421i −0.336302 + 0.0784160i
\(165\) −1.56310 + 1.04443i −0.121687 + 0.0813086i
\(166\) 0.744915 + 6.47512i 0.0578166 + 0.502567i
\(167\) −5.52601 + 13.3410i −0.427616 + 1.03236i 0.552426 + 0.833562i \(0.313702\pi\)
−0.980041 + 0.198794i \(0.936298\pi\)
\(168\) −10.4684 + 3.74571i −0.807651 + 0.288988i
\(169\) −5.77084 13.9320i −0.443911 1.07170i
\(170\) −5.23714 9.42376i −0.401671 0.722769i
\(171\) −7.46448 1.48478i −0.570823 0.113544i
\(172\) −2.33665 + 6.20841i −0.178168 + 0.473387i
\(173\) −0.203918 0.136254i −0.0155036 0.0103592i 0.547794 0.836613i \(-0.315468\pi\)
−0.563298 + 0.826254i \(0.690468\pi\)
\(174\) −2.54922 + 4.96293i −0.193256 + 0.376239i
\(175\) 2.58161 2.58161i 0.195151 0.195151i
\(176\) −1.86338 + 3.22753i −0.140458 + 0.243284i
\(177\) −6.18768 6.18768i −0.465094 0.465094i
\(178\) −10.2189 + 3.28342i −0.765941 + 0.246103i
\(179\) 5.66279 8.47496i 0.423257 0.633448i −0.557155 0.830409i \(-0.688107\pi\)
0.980411 + 0.196960i \(0.0631070\pi\)
\(180\) 2.75859 2.94534i 0.205613 0.219533i
\(181\) 3.65189 18.3593i 0.271443 1.36464i −0.568822 0.822461i \(-0.692601\pi\)
0.840265 0.542176i \(-0.182399\pi\)
\(182\) −28.3259 8.08885i −2.09966 0.599585i
\(183\) −7.26946 + 3.01111i −0.537374 + 0.222588i
\(184\) 18.9342 + 14.0424i 1.39585 + 1.03522i
\(185\) −5.16986 2.14143i −0.380096 0.157441i
\(186\) −3.59241 + 4.52642i −0.263408 + 0.331894i
\(187\) −1.95572 2.92694i −0.143017 0.214039i
\(188\) −2.33254 3.25504i −0.170118 0.237398i
\(189\) 3.85539 0.766884i 0.280438 0.0557826i
\(190\) −16.5599 + 14.0501i −1.20138 + 1.01930i
\(191\) 4.23754 0.306618 0.153309 0.988178i \(-0.451007\pi\)
0.153309 + 0.988178i \(0.451007\pi\)
\(192\) 2.32219 7.65555i 0.167590 0.552492i
\(193\) −23.8234 −1.71485 −0.857424 0.514611i \(-0.827936\pi\)
−0.857424 + 0.514611i \(0.827936\pi\)
\(194\) −6.41430 + 5.44215i −0.460520 + 0.390723i
\(195\) 10.4866 2.08591i 0.750961 0.149375i
\(196\) −13.7405 + 9.84638i −0.981464 + 0.703313i
\(197\) 8.52138 + 12.7531i 0.607123 + 0.908624i 0.999940 0.0109929i \(-0.00349923\pi\)
−0.392816 + 0.919617i \(0.628499\pi\)
\(198\) 0.819114 1.03208i 0.0582119 0.0733468i
\(199\) −7.47005 3.09419i −0.529538 0.219342i 0.101863 0.994798i \(-0.467520\pi\)
−0.631401 + 0.775457i \(0.717520\pi\)
\(200\) 0.385473 + 2.59854i 0.0272571 + 0.183745i
\(201\) 10.2182 4.23252i 0.720737 0.298539i
\(202\) 4.36602 + 1.24678i 0.307192 + 0.0877228i
\(203\) −3.02551 + 15.2103i −0.212349 + 1.06755i
\(204\) 5.51524 + 5.16555i 0.386144 + 0.361661i
\(205\) 2.47867 3.70960i 0.173118 0.259089i
\(206\) 3.06288 0.984126i 0.213401 0.0685673i
\(207\) −5.89329 5.89329i −0.409612 0.409612i
\(208\) 16.8160 12.9036i 1.16598 0.894701i
\(209\) −5.01404 + 5.01404i −0.346829 + 0.346829i
\(210\) 5.12501 9.97759i 0.353659 0.688519i
\(211\) 17.5561 + 11.7306i 1.20861 + 0.807568i 0.985903 0.167317i \(-0.0535104\pi\)
0.222708 + 0.974885i \(0.428510\pi\)
\(212\) −21.3353 8.02993i −1.46531 0.551498i
\(213\) −8.80719 1.75186i −0.603459 0.120035i
\(214\) −3.88375 6.98844i −0.265487 0.477720i
\(215\) −2.56106 6.18294i −0.174663 0.421673i
\(216\) −1.20929 + 2.55687i −0.0822820 + 0.173973i
\(217\) −6.14685 + 14.8398i −0.417275 + 1.00739i
\(218\) 1.88682 + 16.4011i 0.127792 + 1.11082i
\(219\) −1.26320 + 0.844046i −0.0853594 + 0.0570353i
\(220\) −0.853785 3.66162i −0.0575622 0.246866i
\(221\) 3.90593 + 19.6364i 0.262741 + 1.32089i
\(222\) 3.90896 + 0.320509i 0.262352 + 0.0215111i
\(223\) 17.0292i 1.14036i −0.821520 0.570180i \(-0.806873\pi\)
0.821520 0.570180i \(-0.193127\pi\)
\(224\) 0.363618 22.2336i 0.0242952 1.48555i
\(225\) 0.928778i 0.0619185i
\(226\) −1.32505 + 16.1605i −0.0881413 + 1.07498i
\(227\) −2.87749 14.4661i −0.190986 0.960149i −0.950752 0.309953i \(-0.899687\pi\)
0.759766 0.650196i \(-0.225313\pi\)
\(228\) 8.03790 12.9261i 0.532323 0.856053i
\(229\) 2.00107 1.33707i 0.132234 0.0883560i −0.487694 0.873015i \(-0.662162\pi\)
0.619928 + 0.784659i \(0.287162\pi\)
\(230\) −23.6263 + 2.71803i −1.55787 + 0.179222i
\(231\) 1.40156 3.38366i 0.0922157 0.222628i
\(232\) −7.49378 8.26802i −0.491991 0.542822i
\(233\) −8.74599 21.1147i −0.572969 1.38327i −0.899016 0.437916i \(-0.855717\pi\)
0.326047 0.945354i \(-0.394283\pi\)
\(234\) −6.55042 + 3.64032i −0.428214 + 0.237975i
\(235\) 3.96237 + 0.788164i 0.258476 + 0.0514141i
\(236\) 15.9414 7.22301i 1.03769 0.470178i
\(237\) 8.88263 + 5.93518i 0.576989 + 0.385531i
\(238\) 18.6833 + 9.59672i 1.21106 + 0.622063i
\(239\) −5.69317 + 5.69317i −0.368260 + 0.368260i −0.866842 0.498582i \(-0.833854\pi\)
0.498582 + 0.866842i \(0.333854\pi\)
\(240\) 3.56973 + 7.23855i 0.230425 + 0.467246i
\(241\) 17.2207 + 17.2207i 1.10928 + 1.10928i 0.993245 + 0.116036i \(0.0370189\pi\)
0.116036 + 0.993245i \(0.462981\pi\)
\(242\) 4.38322 + 13.6418i 0.281764 + 0.876930i
\(243\) 0.555570 0.831470i 0.0356398 0.0533388i
\(244\) −0.514954 15.7284i −0.0329666 1.00691i
\(245\) 3.32708 16.7264i 0.212559 1.06861i
\(246\) −0.858642 + 3.00684i −0.0547450 + 0.191709i
\(247\) 37.2597 15.4335i 2.37078 0.982008i
\(248\) −5.94180 9.91316i −0.377305 0.629486i
\(249\) 4.25797 + 1.76371i 0.269838 + 0.111771i
\(250\) −13.2515 10.5171i −0.838096 0.665158i
\(251\) 4.95027 + 7.40860i 0.312458 + 0.467627i 0.954147 0.299338i \(-0.0967659\pi\)
−0.641689 + 0.766965i \(0.721766\pi\)
\(252\) −1.28063 + 7.75683i −0.0806719 + 0.488634i
\(253\) −7.61595 + 1.51491i −0.478811 + 0.0952414i
\(254\) 9.08332 + 10.7059i 0.569938 + 0.671748i
\(255\) −7.62348 −0.477401
\(256\) 12.6938 + 9.73999i 0.793363 + 0.608749i
\(257\) −9.02201 −0.562777 −0.281389 0.959594i \(-0.590795\pi\)
−0.281389 + 0.959594i \(0.590795\pi\)
\(258\) 3.03465 + 3.57674i 0.188929 + 0.222678i
\(259\) 10.6922 2.12682i 0.664384 0.132154i
\(260\) −3.48329 + 21.0985i −0.216024 + 1.30847i
\(261\) 2.19184 + 3.28032i 0.135671 + 0.203046i
\(262\) 1.42399 + 1.13015i 0.0879743 + 0.0698211i
\(263\) −28.2079 11.6841i −1.73937 0.720471i −0.998825 0.0484669i \(-0.984566\pi\)
−0.740547 0.672005i \(-0.765434\pi\)
\(264\) 1.35480 + 2.26032i 0.0833824 + 0.139113i
\(265\) 21.2478 8.80111i 1.30524 0.540648i
\(266\) 11.6175 40.6829i 0.712317 2.49443i
\(267\) −1.48068 + 7.44388i −0.0906161 + 0.455558i
\(268\) 0.723838 + 22.1084i 0.0442154 + 1.35048i
\(269\) 1.35668 2.03042i 0.0827184 0.123797i −0.787803 0.615927i \(-0.788782\pi\)
0.870522 + 0.492130i \(0.163782\pi\)
\(270\) −0.872898 2.71671i −0.0531229 0.165333i
\(271\) −9.97526 9.97526i −0.605954 0.605954i 0.335932 0.941886i \(-0.390949\pi\)
−0.941886 + 0.335932i \(0.890949\pi\)
\(272\) −13.5544 + 6.68441i −0.821856 + 0.405302i
\(273\) −14.7291 + 14.7291i −0.891447 + 0.891447i
\(274\) −10.1301 5.20337i −0.611984 0.314347i
\(275\) −0.719508 0.480760i −0.0433879 0.0289909i
\(276\) 15.1829 6.87937i 0.913905 0.414089i
\(277\) 2.76307 + 0.549608i 0.166017 + 0.0330228i 0.277399 0.960755i \(-0.410528\pi\)
−0.111382 + 0.993778i \(0.535528\pi\)
\(278\) −4.60378 + 2.55850i −0.276116 + 0.153448i
\(279\) 1.56372 + 3.77515i 0.0936174 + 0.226012i
\(280\) 15.0657 + 16.6222i 0.900345 + 0.993367i
\(281\) −10.0149 + 24.1782i −0.597441 + 1.44235i 0.278740 + 0.960367i \(0.410083\pi\)
−0.876181 + 0.481983i \(0.839917\pi\)
\(282\) −2.81305 + 0.323621i −0.167515 + 0.0192714i
\(283\) −23.2829 + 15.5572i −1.38403 + 0.924777i −0.384028 + 0.923322i \(0.625463\pi\)
−0.999999 + 0.00145540i \(0.999537\pi\)
\(284\) 9.48376 15.2513i 0.562758 0.904996i
\(285\) 2.99588 + 15.0613i 0.177460 + 0.892154i
\(286\) −0.570577 + 6.95881i −0.0337389 + 0.411483i
\(287\) 8.69184i 0.513063i
\(288\) −3.93406 4.06487i −0.231816 0.239525i
\(289\) 2.72482i 0.160283i
\(290\) 11.2200 + 0.919964i 0.658859 + 0.0540221i
\(291\) 1.16042 + 5.83383i 0.0680250 + 0.341985i
\(292\) −0.689979 2.95911i −0.0403780 0.173169i
\(293\) 22.4850 15.0240i 1.31359 0.877710i 0.316111 0.948722i \(-0.397623\pi\)
0.997475 + 0.0710121i \(0.0226229\pi\)
\(294\) 1.36610 + 11.8748i 0.0796728 + 0.692550i
\(295\) −6.75685 + 16.3125i −0.393399 + 0.949750i
\(296\) −3.35377 + 7.09105i −0.194934 + 0.412159i
\(297\) −0.356547 0.860781i −0.0206890 0.0499476i
\(298\) 8.77907 + 15.7971i 0.508558 + 0.915103i
\(299\) 43.3157 + 8.61602i 2.50501 + 0.498277i
\(300\) 1.73850 + 0.654317i 0.100372 + 0.0377770i
\(301\) 10.8407 + 7.24353i 0.624848 + 0.417510i
\(302\) 3.88905 7.57137i 0.223790 0.435683i
\(303\) 2.27028 2.27028i 0.130424 0.130424i
\(304\) 18.5326 + 24.1518i 1.06292 + 1.38520i
\(305\) 11.2262 + 11.2262i 0.642813 + 0.642813i
\(306\) 5.08711 1.63453i 0.290811 0.0934397i
\(307\) −0.868349 + 1.29958i −0.0495593 + 0.0741707i −0.855422 0.517932i \(-0.826702\pi\)
0.805863 + 0.592103i \(0.201702\pi\)
\(308\) 5.34619 + 5.00722i 0.304628 + 0.285313i
\(309\) 0.443798 2.23112i 0.0252468 0.126924i
\(310\) 11.2118 + 3.20166i 0.636785 + 0.181842i
\(311\) −12.8769 + 5.33380i −0.730184 + 0.302452i −0.716628 0.697456i \(-0.754315\pi\)
−0.0135565 + 0.999908i \(0.504315\pi\)
\(312\) −2.19928 14.8257i −0.124510 0.839342i
\(313\) −26.3763 10.9254i −1.49087 0.617541i −0.519368 0.854551i \(-0.673832\pi\)
−0.971507 + 0.237010i \(0.923832\pi\)
\(314\) 11.8296 14.9053i 0.667584 0.841154i
\(315\) −4.40651 6.59482i −0.248279 0.371576i
\(316\) −17.3673 + 12.4453i −0.976987 + 0.700105i
\(317\) −12.4568 + 2.47781i −0.699644 + 0.139168i −0.532081 0.846694i \(-0.678590\pi\)
−0.167563 + 0.985861i \(0.553590\pi\)
\(318\) −12.2915 + 10.4286i −0.689273 + 0.584807i
\(319\) 3.67575 0.205803
\(320\) −16.0641 + 1.58236i −0.898009 + 0.0884565i
\(321\) −5.65340 −0.315542
\(322\) 35.3294 29.9749i 1.96883 1.67044i
\(323\) −28.2027 + 5.60986i −1.56924 + 0.312141i
\(324\) 1.16496 + 1.62569i 0.0647201 + 0.0903161i
\(325\) 2.73432 + 4.09219i 0.151673 + 0.226994i
\(326\) 14.1224 17.7942i 0.782169 0.985530i
\(327\) 10.7852 + 4.46737i 0.596422 + 0.247046i
\(328\) −5.02334 3.72552i −0.277367 0.205707i
\(329\) −7.27156 + 3.01198i −0.400894 + 0.166056i
\(330\) −2.55642 0.730019i −0.140726 0.0401862i
\(331\) 1.80743 9.08654i 0.0993451 0.499442i −0.898789 0.438381i \(-0.855552\pi\)
0.998134 0.0610600i \(-0.0194481\pi\)
\(332\) −6.30105 + 6.72762i −0.345815 + 0.369226i
\(333\) 1.54078 2.30594i 0.0844341 0.126365i
\(334\) −19.4425 + 6.24703i −1.06385 + 0.341822i
\(335\) −15.7800 15.7800i −0.862154 0.862154i
\(336\) −13.6172 7.86173i −0.742877 0.428893i
\(337\) 14.9074 14.9074i 0.812059 0.812059i −0.172883 0.984942i \(-0.555308\pi\)
0.984942 + 0.172883i \(0.0553084\pi\)
\(338\) 9.74401 18.9701i 0.530004 1.03184i
\(339\) 9.53325 + 6.36992i 0.517775 + 0.345966i
\(340\) 5.37069 14.2697i 0.291266 0.773885i
\(341\) 3.73396 + 0.742731i 0.202205 + 0.0402212i
\(342\) −5.22838 9.40798i −0.282718 0.508726i
\(343\) 2.18440 + 5.27360i 0.117946 + 0.284748i
\(344\) −8.83288 + 3.16051i −0.476237 + 0.170403i
\(345\) −6.43539 + 15.5364i −0.346470 + 0.836452i
\(346\) −0.0396395 0.344564i −0.00213103 0.0185239i
\(347\) 5.22340 3.49017i 0.280407 0.187362i −0.407412 0.913245i \(-0.633569\pi\)
0.687818 + 0.725883i \(0.258569\pi\)
\(348\) −7.68428 + 1.79175i −0.411920 + 0.0960480i
\(349\) −1.25156 6.29200i −0.0669943 0.336803i 0.932723 0.360595i \(-0.117426\pi\)
−0.999717 + 0.0237915i \(0.992426\pi\)
\(350\) 5.14595 + 0.421934i 0.275063 + 0.0225533i
\(351\) 5.29905i 0.282842i
\(352\) −5.18536 + 0.943559i −0.276380 + 0.0502918i
\(353\) 24.7949i 1.31970i 0.751398 + 0.659849i \(0.229380\pi\)
−0.751398 + 0.659849i \(0.770620\pi\)
\(354\) 1.01130 12.3340i 0.0537502 0.655543i
\(355\) 3.53478 + 17.7705i 0.187606 + 0.943161i
\(356\) −12.8904 8.01572i −0.683191 0.424832i
\(357\) 12.3490 8.25132i 0.653577 0.436706i
\(358\) 14.3203 1.64744i 0.756850 0.0870701i
\(359\) 10.4442 25.2146i 0.551226 1.33078i −0.365333 0.930877i \(-0.619045\pi\)
0.916559 0.399900i \(-0.130955\pi\)
\(360\) 5.70012 + 0.279996i 0.300423 + 0.0147571i
\(361\) 14.8952 + 35.9602i 0.783958 + 1.89264i
\(362\) 23.1395 12.8595i 1.21618 0.675879i
\(363\) 9.93725 + 1.97664i 0.521570 + 0.103747i
\(364\) −17.1936 37.9468i −0.901191 1.98895i
\(365\) 2.54880 + 1.70305i 0.133410 + 0.0891419i
\(366\) −9.89820 5.08423i −0.517387 0.265757i
\(367\) 15.2385 15.2385i 0.795441 0.795441i −0.186932 0.982373i \(-0.559854\pi\)
0.982373 + 0.186932i \(0.0598544\pi\)
\(368\) 2.18063 + 33.2661i 0.113673 + 1.73412i
\(369\) 1.56352 + 1.56352i 0.0813935 + 0.0813935i
\(370\) −2.42083 7.53432i −0.125853 0.391690i
\(371\) −24.8925 + 37.2542i −1.29235 + 1.93414i
\(372\) −8.16801 + 0.267424i −0.423492 + 0.0138653i
\(373\) −3.96187 + 19.9177i −0.205138 + 1.03130i 0.731724 + 0.681601i \(0.238716\pi\)
−0.936863 + 0.349698i \(0.886284\pi\)
\(374\) 1.36698 4.78697i 0.0706849 0.247528i
\(375\) −11.0521 + 4.57791i −0.570726 + 0.236402i
\(376\) 1.37602 5.49351i 0.0709627 0.283306i
\(377\) −19.3145 8.00031i −0.994746 0.412037i
\(378\) 4.35442 + 3.45590i 0.223967 + 0.177752i
\(379\) −5.93359 8.88025i −0.304788 0.456148i 0.647183 0.762334i \(-0.275947\pi\)
−0.951971 + 0.306187i \(0.900947\pi\)
\(380\) −30.3025 5.00285i −1.55449 0.256641i
\(381\) 9.73706 1.93682i 0.498845 0.0992263i
\(382\) 3.87708 + 4.56966i 0.198369 + 0.233804i
\(383\) 5.97541 0.305329 0.152664 0.988278i \(-0.451215\pi\)
0.152664 + 0.988278i \(0.451215\pi\)
\(384\) 10.3802 4.50015i 0.529713 0.229647i
\(385\) −7.38981 −0.376620
\(386\) −21.7969 25.6906i −1.10943 1.30762i
\(387\) 3.25306 0.647073i 0.165362 0.0328926i
\(388\) −11.7373 1.93780i −0.595874 0.0983768i
\(389\) −7.25359 10.8558i −0.367772 0.550409i 0.600719 0.799461i \(-0.294881\pi\)
−0.968490 + 0.249051i \(0.919881\pi\)
\(390\) 11.8440 + 9.40000i 0.599742 + 0.475987i
\(391\) −29.0924 12.0505i −1.47126 0.609418i
\(392\) −23.1898 5.80859i −1.17126 0.293378i
\(393\) 1.18764 0.491937i 0.0599086 0.0248150i
\(394\) −5.95615 + 20.8576i −0.300066 + 1.05079i
\(395\) 4.20526 21.1413i 0.211590 1.06373i
\(396\) 1.86241 0.0609760i 0.0935895 0.00306416i
\(397\) 2.28774 3.42384i 0.114818 0.171838i −0.769609 0.638515i \(-0.779549\pi\)
0.884428 + 0.466677i \(0.154549\pi\)
\(398\) −3.49792 10.8865i −0.175335 0.545691i
\(399\) −21.1546 21.1546i −1.05905 1.05905i
\(400\) −2.44952 + 2.79319i −0.122476 + 0.139659i
\(401\) 10.5794 10.5794i 0.528311 0.528311i −0.391757 0.920069i \(-0.628133\pi\)
0.920069 + 0.391757i \(0.128133\pi\)
\(402\) 13.9133 + 7.14657i 0.693930 + 0.356439i
\(403\) −18.0038 12.0297i −0.896831 0.599244i
\(404\) 2.65014 + 5.84893i 0.131849 + 0.290995i
\(405\) −1.97896 0.393639i −0.0983352 0.0195601i
\(406\) −19.1705 + 10.6538i −0.951417 + 0.528739i
\(407\) −0.988822 2.38723i −0.0490141 0.118330i
\(408\) −0.524301 + 10.6736i −0.0259568 + 0.528424i
\(409\) 5.04673 12.1839i 0.249545 0.602454i −0.748621 0.662998i \(-0.769284\pi\)
0.998166 + 0.0605444i \(0.0192837\pi\)
\(410\) 6.26816 0.721106i 0.309562 0.0356129i
\(411\) −6.69565 + 4.47389i −0.330272 + 0.220681i
\(412\) 3.86359 + 2.40252i 0.190346 + 0.118363i
\(413\) −6.71077 33.7373i −0.330215 1.66010i
\(414\) 0.963190 11.7472i 0.0473382 0.577342i
\(415\) 9.29930i 0.456484i
\(416\) 29.3004 + 6.32799i 1.43657 + 0.310255i
\(417\) 3.72429i 0.182379i
\(418\) −9.99454 0.819487i −0.488849 0.0400824i
\(419\) 1.47369 + 7.40872i 0.0719942 + 0.361940i 0.999942 0.0107708i \(-0.00342852\pi\)
−0.927948 + 0.372710i \(0.878429\pi\)
\(420\) 15.4486 3.60218i 0.753816 0.175768i
\(421\) −27.1237 + 18.1235i −1.32193 + 0.883284i −0.998026 0.0628072i \(-0.979995\pi\)
−0.323902 + 0.946091i \(0.604995\pi\)
\(422\) 3.41272 + 29.6648i 0.166128 + 1.44406i
\(423\) −0.766228 + 1.84984i −0.0372553 + 0.0899422i
\(424\) −10.8611 30.3543i −0.527463 1.47413i
\(425\) −1.34290 3.24204i −0.0651400 0.157262i
\(426\) −6.16886 11.1003i −0.298882 0.537811i
\(427\) −30.3358 6.03416i −1.46805 0.292013i
\(428\) 3.98278 10.5821i 0.192515 0.511506i
\(429\) 4.10508 + 2.74293i 0.198195 + 0.132430i
\(430\) 4.32432 8.41878i 0.208537 0.405990i
\(431\) 11.7782 11.7782i 0.567338 0.567338i −0.364044 0.931382i \(-0.618604\pi\)
0.931382 + 0.364044i \(0.118604\pi\)
\(432\) −3.86370 + 1.03531i −0.185892 + 0.0498112i
\(433\) 1.08234 + 1.08234i 0.0520140 + 0.0520140i 0.732635 0.680621i \(-0.238290\pi\)
−0.680621 + 0.732635i \(0.738290\pi\)
\(434\) −21.6268 + 6.94887i −1.03812 + 0.333556i
\(435\) 4.42253 6.61878i 0.212044 0.317346i
\(436\) −15.9602 + 17.0406i −0.764353 + 0.816098i
\(437\) −12.3747 + 62.2118i −0.591962 + 2.97599i
\(438\) −2.06595 0.589959i −0.0987148 0.0281893i
\(439\) 1.05221 0.435839i 0.0502192 0.0208015i −0.357432 0.933939i \(-0.616348\pi\)
0.407652 + 0.913138i \(0.366348\pi\)
\(440\) 3.16744 4.27085i 0.151002 0.203605i
\(441\) 7.80873 + 3.23448i 0.371844 + 0.154023i
\(442\) −17.6018 + 22.1782i −0.837231 + 1.05491i
\(443\) 0.905372 + 1.35499i 0.0430155 + 0.0643773i 0.852354 0.522965i \(-0.175174\pi\)
−0.809339 + 0.587342i \(0.800174\pi\)
\(444\) 3.23082 + 4.50857i 0.153328 + 0.213967i
\(445\) 15.0197 2.98761i 0.712003 0.141626i
\(446\) 18.3639 15.5806i 0.869555 0.737765i
\(447\) 12.7793 0.604440
\(448\) 24.3089 19.9503i 1.14849 0.942561i
\(449\) −10.4707 −0.494142 −0.247071 0.968997i \(-0.579468\pi\)
−0.247071 + 0.968997i \(0.579468\pi\)
\(450\) 1.00157 0.849772i 0.0472145 0.0400587i
\(451\) 2.02055 0.401912i 0.0951438 0.0189253i
\(452\) −18.6394 + 13.3569i −0.876724 + 0.628257i
\(453\) −3.34383 5.00439i −0.157107 0.235127i
\(454\) 12.9672 16.3386i 0.608579 0.766807i
\(455\) 38.8302 + 16.0840i 1.82039 + 0.754029i
\(456\) 21.2934 3.15870i 0.997153 0.147919i
\(457\) −7.42503 + 3.07555i −0.347328 + 0.143868i −0.549526 0.835477i \(-0.685192\pi\)
0.202198 + 0.979345i \(0.435192\pi\)
\(458\) 3.27271 + 0.934565i 0.152924 + 0.0436694i
\(459\) 0.737100 3.70565i 0.0344049 0.172965i
\(460\) −24.5476 22.9912i −1.14454 1.07197i
\(461\) 12.5156 18.7310i 0.582912 0.872389i −0.416411 0.909176i \(-0.636712\pi\)
0.999323 + 0.0367872i \(0.0117124\pi\)
\(462\) 4.93118 1.58443i 0.229419 0.0737142i
\(463\) −9.68667 9.68667i −0.450178 0.450178i 0.445236 0.895413i \(-0.353120\pi\)
−0.895413 + 0.445236i \(0.853120\pi\)
\(464\) 2.05969 15.6458i 0.0956187 0.726339i
\(465\) 5.82997 5.82997i 0.270358 0.270358i
\(466\) 14.7675 28.7501i 0.684092 1.33182i
\(467\) 9.03088 + 6.03424i 0.417899 + 0.279231i 0.746691 0.665171i \(-0.231641\pi\)
−0.328792 + 0.944402i \(0.606641\pi\)
\(468\) −9.91884 3.73314i −0.458499 0.172565i
\(469\) 42.6410 + 8.48182i 1.96898 + 0.391654i
\(470\) 2.77538 + 4.99403i 0.128019 + 0.230358i
\(471\) −5.14924 12.4314i −0.237265 0.572807i
\(472\) 22.3744 + 10.5822i 1.02987 + 0.487083i
\(473\) 1.18259 2.85503i 0.0543756 0.131274i
\(474\) 1.72669 + 15.0091i 0.0793094 + 0.689391i
\(475\) −5.87738 + 3.92714i −0.269673 + 0.180190i
\(476\) 6.74518 + 28.9280i 0.309165 + 1.32591i
\(477\) 2.22367 + 11.1792i 0.101815 + 0.511859i
\(478\) −11.3483 0.930482i −0.519057 0.0425593i
\(479\) 35.0050i 1.59942i 0.600387 + 0.799710i \(0.295013\pi\)
−0.600387 + 0.799710i \(0.704987\pi\)
\(480\) −4.53980 + 10.4723i −0.207212 + 0.477994i
\(481\) 14.6960i 0.670080i
\(482\) −2.81452 + 34.3262i −0.128198 + 1.56351i
\(483\) −6.39150 32.1322i −0.290823 1.46207i
\(484\) −10.7006 + 17.2082i −0.486392 + 0.782189i
\(485\) 9.97903 6.66777i 0.453124 0.302768i
\(486\) 1.40495 0.161629i 0.0637297 0.00733163i
\(487\) −8.65463 + 20.8941i −0.392179 + 0.946803i 0.597286 + 0.802028i \(0.296246\pi\)
−0.989465 + 0.144775i \(0.953754\pi\)
\(488\) 16.4899 14.9458i 0.746465 0.676564i
\(489\) −6.14726 14.8408i −0.277989 0.671124i
\(490\) 21.0813 11.7157i 0.952358 0.529262i
\(491\) 38.9578 + 7.74919i 1.75814 + 0.349716i 0.965586 0.260084i \(-0.0837504\pi\)
0.792555 + 0.609800i \(0.208750\pi\)
\(492\) −4.02810 + 1.82513i −0.181601 + 0.0822831i
\(493\) 12.3939 + 8.28131i 0.558191 + 0.372971i
\(494\) 50.7333 + 26.0593i 2.28260 + 1.17246i
\(495\) −1.32930 + 1.32930i −0.0597478 + 0.0597478i
\(496\) 5.25374 15.4774i 0.235900 0.694956i
\(497\) −24.9599 24.9599i −1.11960 1.11960i
\(498\) 1.99383 + 6.20537i 0.0893458 + 0.278069i
\(499\) 8.21585 12.2959i 0.367792 0.550439i −0.600703 0.799472i \(-0.705113\pi\)
0.968495 + 0.249033i \(0.0801127\pi\)
\(500\) −0.782905 23.9125i −0.0350126 1.06940i
\(501\) −2.81714 + 14.1627i −0.125860 + 0.632743i
\(502\) −3.46007 + 12.1166i −0.154430 + 0.540792i
\(503\) 2.51569 1.04203i 0.112169 0.0464620i −0.325893 0.945407i \(-0.605665\pi\)
0.438062 + 0.898945i \(0.355665\pi\)
\(504\) −9.53646 + 5.71601i −0.424788 + 0.254611i
\(505\) −5.98510 2.47911i −0.266333 0.110319i
\(506\) −8.60175 6.82680i −0.382394 0.303488i
\(507\) −8.37797 12.5385i −0.372079 0.556855i
\(508\) −3.23432 + 19.5904i −0.143500 + 0.869185i
\(509\) −11.1316 + 2.21422i −0.493401 + 0.0981436i −0.435518 0.900180i \(-0.643435\pi\)
−0.0578827 + 0.998323i \(0.518435\pi\)
\(510\) −6.97500 8.22097i −0.308858 0.364031i
\(511\) −5.97201 −0.264186
\(512\) 1.11066 + 22.6001i 0.0490848 + 0.998795i
\(513\) −7.61072 −0.336022
\(514\) −8.25456 9.72910i −0.364093 0.429132i
\(515\) −4.50179 + 0.895462i −0.198373 + 0.0394588i
\(516\) −1.08055 + 6.54498i −0.0475688 + 0.288127i
\(517\) 1.03642 + 1.55111i 0.0455816 + 0.0682176i
\(518\) 12.0762 + 9.58434i 0.530599 + 0.421112i
\(519\) −0.226582 0.0938532i −0.00994584 0.00411970i
\(520\) −25.9390 + 15.5475i −1.13750 + 0.681801i
\(521\) 18.4035 7.62298i 0.806272 0.333969i 0.0588062 0.998269i \(-0.481271\pi\)
0.747465 + 0.664301i \(0.231271\pi\)
\(522\) −1.53202 + 5.36490i −0.0670546 + 0.234815i
\(523\) 4.22835 21.2573i 0.184893 0.929518i −0.771231 0.636555i \(-0.780359\pi\)
0.956124 0.292963i \(-0.0946413\pi\)
\(524\) 0.0841302 + 2.56961i 0.00367524 + 0.112254i
\(525\) 2.02836 3.03565i 0.0885248 0.132487i
\(526\) −13.2086 41.1088i −0.575922 1.79243i
\(527\) 10.9168 + 10.9168i 0.475543 + 0.475543i
\(528\) −1.19792 + 3.52904i −0.0521326 + 0.153582i
\(529\) −32.8534 + 32.8534i −1.42841 + 1.42841i
\(530\) 28.9312 + 14.8606i 1.25669 + 0.645503i
\(531\) −7.27594 4.86163i −0.315749 0.210977i
\(532\) 54.5007 24.6942i 2.36291 1.07063i
\(533\) −11.4918 2.28587i −0.497767 0.0990120i
\(534\) −9.38202 + 5.21395i −0.406000 + 0.225630i
\(535\) 4.36528 + 10.5387i 0.188727 + 0.455628i
\(536\) −23.1789 + 21.0083i −1.00117 + 0.907422i
\(537\) 3.90060 9.41687i 0.168323 0.406368i
\(538\) 3.43083 0.394692i 0.147914 0.0170164i
\(539\) 6.54770 4.37503i 0.282029 0.188446i
\(540\) 2.13098 3.42692i 0.0917028 0.147471i
\(541\) −0.981180 4.93272i −0.0421842 0.212074i 0.953944 0.299984i \(-0.0969813\pi\)
−0.996128 + 0.0879096i \(0.971981\pi\)
\(542\) 1.63034 19.8838i 0.0700291 0.854082i
\(543\) 18.7190i 0.803309i
\(544\) −19.6097 8.50090i −0.840759 0.364473i
\(545\) 23.5545i 1.00896i
\(546\) −29.3597 2.40730i −1.25648 0.103023i
\(547\) 5.70608 + 28.6864i 0.243974 + 1.22654i 0.887388 + 0.461023i \(0.152518\pi\)
−0.643414 + 0.765519i \(0.722482\pi\)
\(548\) −3.65725 15.6848i −0.156230 0.670023i
\(549\) −6.54234 + 4.37145i −0.279220 + 0.186569i
\(550\) −0.139865 1.21576i −0.00596385 0.0518403i
\(551\) 11.4904 27.7402i 0.489507 1.18177i
\(552\) 21.3100 + 10.0787i 0.907012 + 0.428978i
\(553\) 16.0705 + 38.7975i 0.683386 + 1.64984i
\(554\) 1.93535 + 3.48248i 0.0822250 + 0.147956i
\(555\) −5.48830 1.09169i −0.232965 0.0463397i
\(556\) −6.97118 2.62374i −0.295644 0.111271i
\(557\) −34.5957 23.1161i −1.46587 0.979462i −0.995273 0.0971133i \(-0.969039\pi\)
−0.470596 0.882349i \(-0.655961\pi\)
\(558\) −2.64032 + 5.14030i −0.111774 + 0.217606i
\(559\) −12.4280 + 12.4280i −0.525648 + 0.525648i
\(560\) −4.14084 + 31.4547i −0.174983 + 1.32920i
\(561\) −2.48916 2.48916i −0.105092 0.105092i
\(562\) −35.2362 + 11.3216i −1.48635 + 0.477575i
\(563\) 2.43472 3.64381i 0.102611 0.153568i −0.776611 0.629980i \(-0.783063\pi\)
0.879222 + 0.476412i \(0.158063\pi\)
\(564\) −2.92275 2.73743i −0.123070 0.115267i
\(565\) 4.51329 22.6898i 0.189875 0.954568i
\(566\) −38.0788 10.8739i −1.60057 0.457065i
\(567\) 3.63169 1.50430i 0.152517 0.0631745i
\(568\) 25.1236 3.72688i 1.05416 0.156377i
\(569\) 41.8738 + 17.3447i 1.75544 + 0.727127i 0.997170 + 0.0751853i \(0.0239548\pi\)
0.758269 + 0.651941i \(0.226045\pi\)
\(570\) −13.5007 + 17.0108i −0.565481 + 0.712504i
\(571\) 2.82473 + 4.22751i 0.118211 + 0.176916i 0.885857 0.463959i \(-0.153572\pi\)
−0.767645 + 0.640875i \(0.778572\pi\)
\(572\) −8.02625 + 5.75158i −0.335594 + 0.240485i
\(573\) 4.15612 0.826704i 0.173624 0.0345360i
\(574\) −9.37306 + 7.95248i −0.391224 + 0.331930i
\(575\) −7.74078 −0.322813
\(576\) 0.784046 7.96149i 0.0326686 0.331729i
\(577\) −9.85867 −0.410422 −0.205211 0.978718i \(-0.565788\pi\)
−0.205211 + 0.978718i \(0.565788\pi\)
\(578\) −2.93837 + 2.49304i −0.122220 + 0.103697i
\(579\) −23.3657 + 4.64772i −0.971044 + 0.193153i
\(580\) 9.27349 + 12.9410i 0.385061 + 0.537347i
\(581\) 10.0652 + 15.0636i 0.417573 + 0.624942i
\(582\) −5.22934 + 6.58895i −0.216763 + 0.273121i
\(583\) 9.81133 + 4.06399i 0.406344 + 0.168313i
\(584\) 2.55974 3.45145i 0.105923 0.142822i
\(585\) 9.87816 4.09167i 0.408411 0.169170i
\(586\) 36.7738 + 10.5012i 1.51911 + 0.433802i
\(587\) −7.72386 + 38.8305i −0.318798 + 1.60271i 0.406086 + 0.913835i \(0.366893\pi\)
−0.724884 + 0.688871i \(0.758107\pi\)
\(588\) −11.5555 + 12.3378i −0.476543 + 0.508803i
\(589\) 17.2776 25.8578i 0.711911 1.06545i
\(590\) −23.7731 + 7.63847i −0.978722 + 0.314471i
\(591\) 10.8457 + 10.8457i 0.446131 + 0.446131i
\(592\) −10.7153 + 2.87124i −0.440396 + 0.118007i
\(593\) 27.2869 27.2869i 1.12054 1.12054i 0.128877 0.991661i \(-0.458863\pi\)
0.991661 0.128877i \(-0.0411371\pi\)
\(594\) 0.602026 1.17205i 0.0247014 0.0480898i
\(595\) −24.9169 16.6489i −1.02149 0.682539i
\(596\) −9.00293 + 23.9205i −0.368774 + 0.979821i
\(597\) −7.93016 1.57741i −0.324560 0.0645590i
\(598\) 30.3398 + 54.5936i 1.24069 + 2.23250i
\(599\) −7.78170 18.7867i −0.317952 0.767604i −0.999362 0.0357022i \(-0.988633\pi\)
0.681411 0.731901i \(-0.261367\pi\)
\(600\) 0.885017 + 2.47341i 0.0361307 + 0.100977i
\(601\) 15.4558 37.3137i 0.630456 1.52206i −0.208594 0.978002i \(-0.566889\pi\)
0.839050 0.544054i \(-0.183111\pi\)
\(602\) 2.10732 + 18.3177i 0.0858879 + 0.746575i
\(603\) 9.19615 6.14467i 0.374496 0.250230i
\(604\) 11.7230 2.73347i 0.477002 0.111223i
\(605\) −3.98832 20.0507i −0.162148 0.815175i
\(606\) 4.52536 + 0.371050i 0.183830 + 0.0150729i
\(607\) 20.2438i 0.821669i −0.911710 0.410835i \(-0.865237\pi\)
0.911710 0.410835i \(-0.134763\pi\)
\(608\) −9.08853 + 42.0825i −0.368588 + 1.70667i
\(609\) 15.5083i 0.628426i
\(610\) −1.83480 + 22.3774i −0.0742888 + 0.906034i
\(611\) −2.06991 10.4062i −0.0837397 0.420988i
\(612\) 6.41701 + 3.99032i 0.259392 + 0.161299i
\(613\) −5.54943 + 3.70801i −0.224139 + 0.149765i −0.662570 0.749000i \(-0.730534\pi\)
0.438431 + 0.898765i \(0.355534\pi\)
\(614\) −2.19591 + 0.252624i −0.0886199 + 0.0101951i
\(615\) 1.70734 4.12188i 0.0688466 0.166210i
\(616\) −0.508231 + 10.3465i −0.0204772 + 0.416872i
\(617\) 6.15245 + 14.8533i 0.247688 + 0.597973i 0.998007 0.0631038i \(-0.0200999\pi\)
−0.750319 + 0.661076i \(0.770100\pi\)
\(618\) 2.81203 1.56275i 0.113116 0.0628632i
\(619\) 46.9305 + 9.33507i 1.88630 + 0.375208i 0.996674 0.0814867i \(-0.0259668\pi\)
0.889624 + 0.456695i \(0.150967\pi\)
\(620\) 6.80545 + 15.0198i 0.273313 + 0.603209i
\(621\) −6.92978 4.63033i −0.278082 0.185809i
\(622\) −17.5334 9.00607i −0.703026 0.361111i
\(623\) −21.0962 + 21.0962i −0.845201 + 0.845201i
\(624\) 13.9755 15.9363i 0.559468 0.637961i
\(625\) 13.7840 + 13.7840i 0.551359 + 0.551359i
\(626\) −12.3509 38.4395i −0.493642 1.53635i
\(627\) −3.93951 + 5.89589i −0.157329 + 0.235459i
\(628\) 26.8968 0.880614i 1.07330 0.0351403i
\(629\) 2.04422 10.2770i 0.0815084 0.409770i
\(630\) 3.08000 10.7857i 0.122710 0.429713i
\(631\) 19.7077 8.16320i 0.784552 0.324972i 0.0458010 0.998951i \(-0.485416\pi\)
0.738751 + 0.673979i \(0.235416\pi\)
\(632\) −29.3107 7.34177i −1.16592 0.292040i
\(633\) 19.5073 + 8.08018i 0.775345 + 0.321158i
\(634\) −14.0692 11.1661i −0.558759 0.443461i
\(635\) −11.1290 16.6557i −0.441640 0.660961i
\(636\) −22.4919 3.71334i −0.891861 0.147243i
\(637\) −43.9275 + 8.73773i −1.74047 + 0.346202i
\(638\) 3.36308 + 3.96384i 0.133146 + 0.156930i
\(639\) −8.97974 −0.355233
\(640\) −16.4040 15.8753i −0.648424 0.627527i
\(641\) 16.3818 0.647041 0.323521 0.946221i \(-0.395133\pi\)
0.323521 + 0.946221i \(0.395133\pi\)
\(642\) −5.17250 6.09648i −0.204142 0.240609i
\(643\) 7.26507 1.44511i 0.286506 0.0569896i −0.0497450 0.998762i \(-0.515841\pi\)
0.336251 + 0.941772i \(0.390841\pi\)
\(644\) 64.6483 + 10.6732i 2.54750 + 0.420584i
\(645\) −3.71808 5.56450i −0.146399 0.219102i
\(646\) −31.8532 25.2804i −1.25325 0.994644i
\(647\) 24.2188 + 10.0318i 0.952139 + 0.394389i 0.804034 0.594583i \(-0.202683\pi\)
0.148105 + 0.988972i \(0.452683\pi\)
\(648\) −0.687236 + 2.74367i −0.0269972 + 0.107781i
\(649\) −7.53243 + 3.12003i −0.295674 + 0.122472i
\(650\) −1.91119 + 6.69272i −0.0749632 + 0.262510i
\(651\) −3.13363 + 15.7538i −0.122817 + 0.617442i
\(652\) 32.1099 1.05129i 1.25752 0.0411718i
\(653\) 6.35562 9.51185i 0.248715 0.372228i −0.686015 0.727587i \(-0.740642\pi\)
0.934730 + 0.355360i \(0.115642\pi\)
\(654\) 5.05025 + 15.7178i 0.197481 + 0.614615i
\(655\) −1.83408 1.83408i −0.0716633 0.0716633i
\(656\) −0.578531 8.82565i −0.0225878 0.344584i
\(657\) −1.07427 + 1.07427i −0.0419111 + 0.0419111i
\(658\) −9.90105 5.08570i −0.385983 0.198261i
\(659\) −8.68363 5.80221i −0.338266 0.226022i 0.374822 0.927097i \(-0.377704\pi\)
−0.713088 + 0.701075i \(0.752704\pi\)
\(660\) −1.55173 3.42470i −0.0604009 0.133306i
\(661\) −16.9443 3.37042i −0.659055 0.131094i −0.145778 0.989317i \(-0.546569\pi\)
−0.513277 + 0.858223i \(0.671569\pi\)
\(662\) 11.4524 6.36452i 0.445109 0.247364i
\(663\) 7.66176 + 18.4971i 0.297558 + 0.718369i
\(664\) −13.0200 0.639555i −0.505272 0.0248195i
\(665\) −23.1005 + 55.7696i −0.895800 + 2.16265i
\(666\) 3.89638 0.448250i 0.150982 0.0173693i
\(667\) 27.3394 18.2676i 1.05858 0.707324i
\(668\) −24.5253 15.2507i −0.948913 0.590067i
\(669\) −3.32224 16.7020i −0.128445 0.645737i
\(670\) 2.57906 31.4544i 0.0996377 1.21519i
\(671\) 7.33102i 0.283011i
\(672\) −3.98094 21.8774i −0.153568 0.843938i
\(673\) 42.9813i 1.65681i −0.560131 0.828404i \(-0.689249\pi\)
0.560131 0.828404i \(-0.310751\pi\)
\(674\) 29.7151 + 2.43644i 1.14458 + 0.0938483i
\(675\) −0.181196 0.910932i −0.00697422 0.0350618i
\(676\) 29.3720 6.84870i 1.12969 0.263412i
\(677\) −29.8747 + 19.9616i −1.14818 + 0.767188i −0.975977 0.217874i \(-0.930088\pi\)
−0.172201 + 0.985062i \(0.555088\pi\)
\(678\) 1.85316 + 16.1085i 0.0711703 + 0.618643i
\(679\) −8.94773 + 21.6017i −0.343382 + 0.828999i
\(680\) 20.3020 7.26429i 0.778545 0.278573i
\(681\) −5.64439 13.6268i −0.216294 0.522179i
\(682\) 2.61539 + 4.70616i 0.100149 + 0.180208i
\(683\) −33.7453 6.71236i −1.29123 0.256841i −0.498753 0.866744i \(-0.666208\pi\)
−0.792476 + 0.609903i \(0.791208\pi\)
\(684\) 5.36170 14.2459i 0.205010 0.544704i
\(685\) 13.5100 + 9.02708i 0.516190 + 0.344907i
\(686\) −3.68834 + 7.18061i −0.140821 + 0.274157i
\(687\) 1.70177 1.70177i 0.0649264 0.0649264i
\(688\) −11.4897 6.63349i −0.438042 0.252899i
\(689\) −42.7089 42.7089i −1.62708 1.62708i
\(690\) −22.6420 + 7.27506i −0.861968 + 0.276957i
\(691\) −4.48755 + 6.71610i −0.170715 + 0.255492i −0.906955 0.421228i \(-0.861599\pi\)
0.736240 + 0.676720i \(0.236599\pi\)
\(692\) 0.335301 0.358000i 0.0127462 0.0136091i
\(693\) 0.714507 3.59207i 0.0271419 0.136452i
\(694\) 8.54278 + 2.43950i 0.324280 + 0.0926023i
\(695\) 6.94259 2.87571i 0.263347 0.109082i
\(696\) −8.96280 6.64719i −0.339734 0.251961i
\(697\) 7.71834 + 3.19704i 0.292353 + 0.121097i
\(698\) 5.64004 7.10643i 0.213479 0.268982i
\(699\) −12.6972 19.0027i −0.480253 0.718749i
\(700\) 4.25321 + 5.93531i 0.160756 + 0.224333i
\(701\) 26.2397 5.21940i 0.991059 0.197134i 0.327171 0.944965i \(-0.393905\pi\)
0.663889 + 0.747831i \(0.268905\pi\)
\(702\) −5.71436 + 4.84829i −0.215675 + 0.182987i
\(703\) −21.1070 −0.796066
\(704\) −5.76178 4.72846i −0.217155 0.178211i
\(705\) 4.03999 0.152155
\(706\) −26.7382 + 22.6857i −1.00630 + 0.853789i
\(707\) 12.3783 2.46220i 0.465534 0.0926005i
\(708\) 14.2259 10.1942i 0.534642 0.383122i
\(709\) 11.5780 + 17.3277i 0.434821 + 0.650756i 0.982571 0.185886i \(-0.0595155\pi\)
−0.547750 + 0.836642i \(0.684516\pi\)
\(710\) −15.9292 + 20.0707i −0.597811 + 0.753240i
\(711\) 9.86985 + 4.08822i 0.370148 + 0.153320i
\(712\) −3.14998 21.2346i −0.118050 0.795800i
\(713\) 31.4635 13.0326i 1.17832 0.488075i
\(714\) 20.1965 + 5.76739i 0.755837 + 0.215839i
\(715\) 1.94345 9.77038i 0.0726809 0.365392i
\(716\) 14.8787 + 13.9353i 0.556043 + 0.520787i
\(717\) −4.47309 + 6.69446i −0.167051 + 0.250009i
\(718\) 36.7466 11.8070i 1.37137 0.440632i
\(719\) −19.1699 19.1699i −0.714917 0.714917i 0.252643 0.967560i \(-0.418700\pi\)
−0.967560 + 0.252643i \(0.918700\pi\)
\(720\) 4.91331 + 6.40304i 0.183108 + 0.238627i
\(721\) 6.32307 6.32307i 0.235483 0.235483i
\(722\) −25.1504 + 48.9639i −0.936002 + 1.82225i
\(723\) 20.2494 + 13.5302i 0.753082 + 0.503193i
\(724\) 35.0385 + 13.1874i 1.30219 + 0.490106i
\(725\) 3.59381 + 0.714853i 0.133471 + 0.0265490i
\(726\) 6.96039 + 12.5246i 0.258324 + 0.464831i
\(727\) 12.2581 + 29.5937i 0.454628 + 1.09757i 0.970543 + 0.240929i \(0.0774520\pi\)
−0.515915 + 0.856640i \(0.672548\pi\)
\(728\) 25.1897 53.2600i 0.933594 1.97395i
\(729\) 0.382683 0.923880i 0.0141735 0.0342178i
\(730\) 0.495460 + 4.30675i 0.0183378 + 0.159400i
\(731\) 10.4197 6.96221i 0.385386 0.257507i
\(732\) −3.57352 15.3257i −0.132081 0.566455i
\(733\) 3.25188 + 16.3483i 0.120111 + 0.603839i 0.993214 + 0.116303i \(0.0371042\pi\)
−0.873103 + 0.487536i \(0.837896\pi\)
\(734\) 30.3750 + 2.49055i 1.12116 + 0.0919278i
\(735\) 17.0540i 0.629048i
\(736\) −33.8782 + 32.7879i −1.24877 + 1.20858i
\(737\) 10.3047i 0.379580i
\(738\) −0.255539 + 3.11658i −0.00940651 + 0.114723i
\(739\) 5.42650 + 27.2809i 0.199617 + 1.00354i 0.942522 + 0.334145i \(0.108448\pi\)
−0.742905 + 0.669397i \(0.766552\pi\)
\(740\) 5.90991 9.50398i 0.217252 0.349373i
\(741\) 33.5328 22.4059i 1.23186 0.823102i
\(742\) −62.9490 + 7.24182i −2.31093 + 0.265856i
\(743\) −8.07244 + 19.4886i −0.296149 + 0.714967i 0.703840 + 0.710358i \(0.251467\pi\)
−0.999989 + 0.00460903i \(0.998533\pi\)
\(744\) −7.76159 8.56350i −0.284554 0.313953i
\(745\) −9.86755 23.8224i −0.361519 0.872784i
\(746\) −25.1036 + 13.9510i −0.919107 + 0.510783i
\(747\) 4.52024 + 0.899132i 0.165387 + 0.0328975i
\(748\) 6.41284 2.90565i 0.234477 0.106241i
\(749\) −18.4778 12.3465i −0.675163 0.451130i
\(750\) −15.0486 7.72976i −0.549498 0.282251i
\(751\) −24.6642 + 24.6642i −0.900011 + 0.900011i −0.995437 0.0954259i \(-0.969579\pi\)
0.0954259 + 0.995437i \(0.469579\pi\)
\(752\) 7.18303 3.54234i 0.261938 0.129176i
\(753\) 6.30050 + 6.30050i 0.229603 + 0.229603i
\(754\) −9.04417 28.1480i −0.329369 1.02509i
\(755\) −6.74693 + 10.0975i −0.245546 + 0.367486i
\(756\) 0.257262 + 7.85762i 0.00935653 + 0.285779i
\(757\) −0.337628 + 1.69737i −0.0122713 + 0.0616920i −0.986436 0.164148i \(-0.947513\pi\)
0.974164 + 0.225840i \(0.0725126\pi\)
\(758\) 4.14737 14.5235i 0.150639 0.527517i
\(759\) −7.17407 + 2.97160i −0.260402 + 0.107862i
\(760\) −22.3299 37.2547i −0.809991 1.35137i
\(761\) −32.4673 13.4484i −1.17694 0.487503i −0.293457 0.955972i \(-0.594806\pi\)
−0.883480 + 0.468469i \(0.844806\pi\)
\(762\) 10.9974 + 8.72813i 0.398394 + 0.316187i
\(763\) 25.4944 + 38.1551i 0.922959 + 1.38131i
\(764\) −1.38052 + 8.36189i −0.0499455 + 0.302523i
\(765\) −7.47700 + 1.48727i −0.270331 + 0.0537723i
\(766\) 5.46712 + 6.44373i 0.197535 + 0.232821i
\(767\) 46.3704 1.67434
\(768\) 14.3501 + 7.07640i 0.517814 + 0.255348i
\(769\) −36.9462 −1.33231 −0.666157 0.745812i \(-0.732062\pi\)
−0.666157 + 0.745812i \(0.732062\pi\)
\(770\) −6.76121 7.96899i −0.243657 0.287182i
\(771\) −8.84865 + 1.76011i −0.318676 + 0.0633887i
\(772\) 7.76128 47.0105i 0.279335 1.69194i
\(773\) −18.1200 27.1184i −0.651729 0.975382i −0.999288 0.0377238i \(-0.987989\pi\)
0.347559 0.937658i \(-0.387011\pi\)