Properties

Label 819.2.fy.a.722.29
Level $819$
Weight $2$
Character 819.722
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 722.29
Character \(\chi\) \(=\) 819.722
Dual form 819.2.fy.a.743.29

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.06571 - 0.285555i) q^{2} +(0.611203 - 1.62063i) q^{3} +(-0.677862 - 0.391364i) q^{4} +(4.22771 + 1.13281i) q^{5} +(-1.11414 + 1.55258i) q^{6} +(0.707107 - 0.707107i) q^{7} +(2.17095 + 2.17095i) q^{8} +(-2.25286 - 1.98106i) q^{9} +O(q^{10})\) \(q+(-1.06571 - 0.285555i) q^{2} +(0.611203 - 1.62063i) q^{3} +(-0.677862 - 0.391364i) q^{4} +(4.22771 + 1.13281i) q^{5} +(-1.11414 + 1.55258i) q^{6} +(0.707107 - 0.707107i) q^{7} +(2.17095 + 2.17095i) q^{8} +(-2.25286 - 1.98106i) q^{9} +(-4.18202 - 2.41449i) q^{10} +(-0.432106 + 1.61264i) q^{11} +(-1.04857 + 0.859358i) q^{12} +(-2.06051 - 2.95877i) q^{13} +(-0.955487 + 0.551650i) q^{14} +(4.41986 - 6.15917i) q^{15} +(-0.910942 - 1.57780i) q^{16} +(-0.720308 - 1.24761i) q^{17} +(1.83519 + 2.75455i) q^{18} +(1.10232 - 4.11390i) q^{19} +(-2.42246 - 2.42246i) q^{20} +(-0.713771 - 1.57814i) q^{21} +(0.920997 - 1.59521i) q^{22} +7.17226 q^{23} +(4.84519 - 2.19141i) q^{24} +(12.2602 + 7.07842i) q^{25} +(1.35101 + 3.74157i) q^{26} +(-4.58752 + 2.44022i) q^{27} +(-0.756057 + 0.202585i) q^{28} +(-0.483094 + 0.278914i) q^{29} +(-6.46905 + 5.30175i) q^{30} +(-0.393693 + 1.46928i) q^{31} +(-1.06900 - 3.98955i) q^{32} +(2.34939 + 1.68593i) q^{33} +(0.411375 + 1.53527i) q^{34} +(3.79046 - 2.18843i) q^{35} +(0.751814 + 2.22458i) q^{36} +(-1.95708 - 7.30392i) q^{37} +(-2.34949 + 4.06944i) q^{38} +(-6.05445 + 1.53091i) q^{39} +(6.71887 + 11.6374i) q^{40} +(-2.28497 + 2.28497i) q^{41} +(0.310024 + 1.88566i) q^{42} +6.80805i q^{43} +(0.924038 - 0.924038i) q^{44} +(-7.28029 - 10.9274i) q^{45} +(-7.64353 - 2.04808i) q^{46} +(9.28411 - 2.48767i) q^{47} +(-3.11379 + 0.511943i) q^{48} -1.00000i q^{49} +(-11.0445 - 11.0445i) q^{50} +(-2.46216 + 0.404808i) q^{51} +(0.238786 + 2.81204i) q^{52} -13.5656i q^{53} +(5.58577 - 1.29057i) q^{54} +(-3.65364 + 6.32829i) q^{55} +3.07019 q^{56} +(-5.99336 - 4.30087i) q^{57} +(0.594482 - 0.159291i) q^{58} +(2.71649 - 0.727882i) q^{59} +(-5.40653 + 2.44529i) q^{60} +8.52739 q^{61} +(0.839122 - 1.45340i) q^{62} +(-2.99384 + 0.192192i) q^{63} +8.20071i q^{64} +(-5.35951 - 14.8430i) q^{65} +(-2.02233 - 2.46759i) q^{66} +(-1.15831 - 1.15831i) q^{67} +1.12761i q^{68} +(4.38370 - 11.6236i) q^{69} +(-4.66444 + 1.24983i) q^{70} +(-13.2583 - 3.55255i) q^{71} +(-0.590064 - 9.19164i) q^{72} +(-5.23705 + 5.23705i) q^{73} +8.34269i q^{74} +(18.9649 - 15.5428i) q^{75} +(-2.35725 + 2.35725i) q^{76} +(0.834765 + 1.44585i) q^{77} +(6.88942 + 0.0973793i) q^{78} +(-2.40564 + 4.16670i) q^{79} +(-2.06385 - 7.70240i) q^{80} +(1.15078 + 8.92612i) q^{81} +(3.08760 - 1.78263i) q^{82} +(1.06371 + 3.96983i) q^{83} +(-0.133789 + 1.34911i) q^{84} +(-1.63195 - 6.09051i) q^{85} +(1.94407 - 7.25538i) q^{86} +(0.156748 + 0.953388i) q^{87} +(-4.43904 + 2.56288i) q^{88} +(-4.58335 + 1.22811i) q^{89} +(4.63826 + 13.7244i) q^{90} +(-3.54916 - 0.635165i) q^{91} +(-4.86180 - 2.80696i) q^{92} +(2.14053 + 1.53606i) q^{93} -10.6045 q^{94} +(9.32056 - 16.1437i) q^{95} +(-7.11894 - 0.705979i) q^{96} +(-8.60673 - 8.60673i) q^{97} +(-0.285555 + 1.06571i) q^{98} +(4.16822 - 2.77703i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8} + O(q^{10}) \) \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{12}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.06571 0.285555i −0.753568 0.201918i −0.138468 0.990367i \(-0.544218\pi\)
−0.615100 + 0.788449i \(0.710885\pi\)
\(3\) 0.611203 1.62063i 0.352878 0.935669i
\(4\) −0.677862 0.391364i −0.338931 0.195682i
\(5\) 4.22771 + 1.13281i 1.89069 + 0.506609i 0.998488 + 0.0549758i \(0.0175082\pi\)
0.892204 + 0.451633i \(0.149158\pi\)
\(6\) −1.11414 + 1.55258i −0.454846 + 0.633838i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) 2.17095 + 2.17095i 0.767546 + 0.767546i
\(9\) −2.25286 1.98106i −0.750954 0.660354i
\(10\) −4.18202 2.41449i −1.32247 0.763529i
\(11\) −0.432106 + 1.61264i −0.130285 + 0.486230i −0.999973 0.00737217i \(-0.997653\pi\)
0.869688 + 0.493602i \(0.164320\pi\)
\(12\) −1.04857 + 0.859358i −0.302695 + 0.248075i
\(13\) −2.06051 2.95877i −0.571482 0.820614i
\(14\) −0.955487 + 0.551650i −0.255365 + 0.147435i
\(15\) 4.41986 6.15917i 1.14120 1.59029i
\(16\) −0.910942 1.57780i −0.227735 0.394449i
\(17\) −0.720308 1.24761i −0.174700 0.302590i 0.765357 0.643606i \(-0.222562\pi\)
−0.940058 + 0.341016i \(0.889229\pi\)
\(18\) 1.83519 + 2.75455i 0.432558 + 0.649253i
\(19\) 1.10232 4.11390i 0.252889 0.943794i −0.716364 0.697727i \(-0.754195\pi\)
0.969253 0.246067i \(-0.0791384\pi\)
\(20\) −2.42246 2.42246i −0.541679 0.541679i
\(21\) −0.713771 1.57814i −0.155758 0.344379i
\(22\) 0.920997 1.59521i 0.196357 0.340101i
\(23\) 7.17226 1.49552 0.747760 0.663969i \(-0.231129\pi\)
0.747760 + 0.663969i \(0.231129\pi\)
\(24\) 4.84519 2.19141i 0.989020 0.447319i
\(25\) 12.2602 + 7.07842i 2.45204 + 1.41568i
\(26\) 1.35101 + 3.74157i 0.264954 + 0.733782i
\(27\) −4.58752 + 2.44022i −0.882868 + 0.469620i
\(28\) −0.756057 + 0.202585i −0.142881 + 0.0382849i
\(29\) −0.483094 + 0.278914i −0.0897082 + 0.0517931i −0.544183 0.838967i \(-0.683160\pi\)
0.454475 + 0.890760i \(0.349827\pi\)
\(30\) −6.46905 + 5.30175i −1.18108 + 0.967964i
\(31\) −0.393693 + 1.46928i −0.0707093 + 0.263891i −0.992226 0.124448i \(-0.960284\pi\)
0.921517 + 0.388338i \(0.126951\pi\)
\(32\) −1.06900 3.98955i −0.188974 0.705259i
\(33\) 2.34939 + 1.68593i 0.408976 + 0.293483i
\(34\) 0.411375 + 1.53527i 0.0705503 + 0.263297i
\(35\) 3.79046 2.18843i 0.640706 0.369911i
\(36\) 0.751814 + 2.22458i 0.125302 + 0.370763i
\(37\) −1.95708 7.30392i −0.321742 1.20076i −0.917547 0.397628i \(-0.869833\pi\)
0.595805 0.803129i \(-0.296833\pi\)
\(38\) −2.34949 + 4.06944i −0.381138 + 0.660151i
\(39\) −6.05445 + 1.53091i −0.969487 + 0.245142i
\(40\) 6.71887 + 11.6374i 1.06235 + 1.84004i
\(41\) −2.28497 + 2.28497i −0.356853 + 0.356853i −0.862652 0.505799i \(-0.831198\pi\)
0.505799 + 0.862652i \(0.331198\pi\)
\(42\) 0.310024 + 1.88566i 0.0478377 + 0.290963i
\(43\) 6.80805i 1.03822i 0.854708 + 0.519109i \(0.173736\pi\)
−0.854708 + 0.519109i \(0.826264\pi\)
\(44\) 0.924038 0.924038i 0.139304 0.139304i
\(45\) −7.28029 10.9274i −1.08528 1.62897i
\(46\) −7.64353 2.04808i −1.12698 0.301972i
\(47\) 9.28411 2.48767i 1.35423 0.362864i 0.492533 0.870294i \(-0.336071\pi\)
0.861693 + 0.507430i \(0.169404\pi\)
\(48\) −3.11379 + 0.511943i −0.449437 + 0.0738926i
\(49\) 1.00000i 0.142857i
\(50\) −11.0445 11.0445i −1.56192 1.56192i
\(51\) −2.46216 + 0.404808i −0.344772 + 0.0566844i
\(52\) 0.238786 + 2.81204i 0.0331136 + 0.389960i
\(53\) 13.5656i 1.86338i −0.363252 0.931691i \(-0.618334\pi\)
0.363252 0.931691i \(-0.381666\pi\)
\(54\) 5.58577 1.29057i 0.760127 0.175624i
\(55\) −3.65364 + 6.32829i −0.492657 + 0.853307i
\(56\) 3.07019 0.410271
\(57\) −5.99336 4.30087i −0.793840 0.569665i
\(58\) 0.594482 0.159291i 0.0780593 0.0209159i
\(59\) 2.71649 0.727882i 0.353657 0.0947622i −0.0776165 0.996983i \(-0.524731\pi\)
0.431274 + 0.902221i \(0.358064\pi\)
\(60\) −5.40653 + 2.44529i −0.697980 + 0.315686i
\(61\) 8.52739 1.09182 0.545910 0.837844i \(-0.316184\pi\)
0.545910 + 0.837844i \(0.316184\pi\)
\(62\) 0.839122 1.45340i 0.106569 0.184582i
\(63\) −2.99384 + 0.192192i −0.377188 + 0.0242139i
\(64\) 8.20071i 1.02509i
\(65\) −5.35951 14.8430i −0.664766 1.84105i
\(66\) −2.02233 2.46759i −0.248932 0.303739i
\(67\) −1.15831 1.15831i −0.141510 0.141510i 0.632803 0.774313i \(-0.281904\pi\)
−0.774313 + 0.632803i \(0.781904\pi\)
\(68\) 1.12761i 0.136743i
\(69\) 4.38370 11.6236i 0.527736 1.39931i
\(70\) −4.66444 + 1.24983i −0.557507 + 0.149384i
\(71\) −13.2583 3.55255i −1.57347 0.421610i −0.636574 0.771216i \(-0.719649\pi\)
−0.936897 + 0.349605i \(0.886316\pi\)
\(72\) −0.590064 9.19164i −0.0695397 1.08324i
\(73\) −5.23705 + 5.23705i −0.612950 + 0.612950i −0.943714 0.330763i \(-0.892694\pi\)
0.330763 + 0.943714i \(0.392694\pi\)
\(74\) 8.34269i 0.969818i
\(75\) 18.9649 15.5428i 2.18988 1.79473i
\(76\) −2.35725 + 2.35725i −0.270395 + 0.270395i
\(77\) 0.834765 + 1.44585i 0.0951303 + 0.164770i
\(78\) 6.88942 + 0.0973793i 0.780074 + 0.0110260i
\(79\) −2.40564 + 4.16670i −0.270656 + 0.468790i −0.969030 0.246943i \(-0.920574\pi\)
0.698374 + 0.715733i \(0.253907\pi\)
\(80\) −2.06385 7.70240i −0.230746 0.861155i
\(81\) 1.15078 + 8.92612i 0.127865 + 0.991792i
\(82\) 3.08760 1.78263i 0.340968 0.196858i
\(83\) 1.06371 + 3.96983i 0.116758 + 0.435745i 0.999412 0.0342767i \(-0.0109128\pi\)
−0.882655 + 0.470022i \(0.844246\pi\)
\(84\) −0.133789 + 1.34911i −0.0145976 + 0.147200i
\(85\) −1.63195 6.09051i −0.177010 0.660609i
\(86\) 1.94407 7.25538i 0.209635 0.782368i
\(87\) 0.156748 + 0.953388i 0.0168051 + 0.102214i
\(88\) −4.43904 + 2.56288i −0.473204 + 0.273204i
\(89\) −4.58335 + 1.22811i −0.485834 + 0.130179i −0.493418 0.869792i \(-0.664253\pi\)
0.00758373 + 0.999971i \(0.497586\pi\)
\(90\) 4.63826 + 13.7244i 0.488916 + 1.44668i
\(91\) −3.54916 0.635165i −0.372053 0.0665834i
\(92\) −4.86180 2.80696i −0.506878 0.292646i
\(93\) 2.14053 + 1.53606i 0.221963 + 0.159282i
\(94\) −10.6045 −1.09377
\(95\) 9.32056 16.1437i 0.956270 1.65631i
\(96\) −7.11894 0.705979i −0.726574 0.0720536i
\(97\) −8.60673 8.60673i −0.873881 0.873881i 0.119011 0.992893i \(-0.462027\pi\)
−0.992893 + 0.119011i \(0.962027\pi\)
\(98\) −0.285555 + 1.06571i −0.0288454 + 0.107653i
\(99\) 4.16822 2.77703i 0.418922 0.279102i
\(100\) −5.54047 9.59638i −0.554047 0.959638i
\(101\) 1.63551 + 2.83279i 0.162739 + 0.281873i 0.935850 0.352398i \(-0.114634\pi\)
−0.773111 + 0.634271i \(0.781300\pi\)
\(102\) 2.73954 + 0.271677i 0.271255 + 0.0269001i
\(103\) −9.17468 + 5.29700i −0.904008 + 0.521929i −0.878498 0.477746i \(-0.841454\pi\)
−0.0255094 + 0.999675i \(0.508121\pi\)
\(104\) 1.95007 10.8966i 0.191221 1.06850i
\(105\) −1.22988 7.48050i −0.120024 0.730022i
\(106\) −3.87373 + 14.4570i −0.376250 + 1.40419i
\(107\) −3.83292 2.21294i −0.370543 0.213933i 0.303153 0.952942i \(-0.401961\pi\)
−0.673695 + 0.739009i \(0.735294\pi\)
\(108\) 4.06472 + 0.141257i 0.391128 + 0.0135925i
\(109\) 5.42408 + 5.42408i 0.519532 + 0.519532i 0.917430 0.397898i \(-0.130260\pi\)
−0.397898 + 0.917430i \(0.630260\pi\)
\(110\) 5.70079 5.70079i 0.543549 0.543549i
\(111\) −13.0331 1.29248i −1.23705 0.122677i
\(112\) −1.75980 0.471538i −0.166286 0.0445562i
\(113\) 2.79574 + 1.61412i 0.263001 + 0.151844i 0.625703 0.780062i \(-0.284812\pi\)
−0.362702 + 0.931905i \(0.618146\pi\)
\(114\) 5.15903 + 6.29491i 0.483187 + 0.589572i
\(115\) 30.3223 + 8.12483i 2.82757 + 0.757644i
\(116\) 0.436628 0.0405399
\(117\) −1.21946 + 10.7477i −0.112739 + 0.993625i
\(118\) −3.10284 −0.285639
\(119\) −1.39153 0.372859i −0.127561 0.0341799i
\(120\) 22.9665 3.77596i 2.09655 0.344696i
\(121\) 7.11238 + 4.10634i 0.646580 + 0.373303i
\(122\) −9.08770 2.43504i −0.822761 0.220458i
\(123\) 2.30651 + 5.09967i 0.207971 + 0.459822i
\(124\) 0.841892 0.841892i 0.0756042 0.0756042i
\(125\) 28.3395 + 28.3395i 2.53476 + 2.53476i
\(126\) 3.24543 + 0.650086i 0.289126 + 0.0579143i
\(127\) −2.81901 1.62756i −0.250147 0.144422i 0.369685 0.929157i \(-0.379466\pi\)
−0.619831 + 0.784735i \(0.712799\pi\)
\(128\) 0.203764 0.760457i 0.0180103 0.0672155i
\(129\) 11.0333 + 4.16110i 0.971428 + 0.366364i
\(130\) 1.47317 + 17.3487i 0.129206 + 1.52158i
\(131\) −15.6943 + 9.06113i −1.37122 + 0.791675i −0.991082 0.133255i \(-0.957457\pi\)
−0.380139 + 0.924929i \(0.624124\pi\)
\(132\) −0.932746 2.06229i −0.0811851 0.179500i
\(133\) −2.12951 3.68843i −0.184652 0.319827i
\(134\) 0.903659 + 1.56518i 0.0780643 + 0.135211i
\(135\) −22.1590 + 5.11975i −1.90715 + 0.440638i
\(136\) 1.14475 4.27225i 0.0981611 0.366342i
\(137\) 12.2619 + 12.2619i 1.04760 + 1.04760i 0.998809 + 0.0487923i \(0.0155372\pi\)
0.0487923 + 0.998809i \(0.484463\pi\)
\(138\) −7.99091 + 11.1355i −0.680232 + 0.947918i
\(139\) −3.00533 + 5.20538i −0.254908 + 0.441514i −0.964871 0.262725i \(-0.915379\pi\)
0.709962 + 0.704240i \(0.248712\pi\)
\(140\) −3.42588 −0.289540
\(141\) 1.64289 16.5665i 0.138356 1.39515i
\(142\) 13.1150 + 7.57196i 1.10059 + 0.635424i
\(143\) 5.66179 2.04436i 0.473463 0.170958i
\(144\) −1.07349 + 5.35919i −0.0894574 + 0.446599i
\(145\) −2.35834 + 0.631915i −0.195849 + 0.0524777i
\(146\) 7.07662 4.08569i 0.585666 0.338134i
\(147\) −1.62063 0.611203i −0.133667 0.0504111i
\(148\) −1.53186 + 5.71698i −0.125918 + 0.469933i
\(149\) −5.79012 21.6090i −0.474345 1.77028i −0.623877 0.781522i \(-0.714443\pi\)
0.149532 0.988757i \(-0.452223\pi\)
\(150\) −24.6494 + 11.1486i −2.01261 + 0.910276i
\(151\) 0.169432 + 0.632330i 0.0137882 + 0.0514583i 0.972477 0.232998i \(-0.0748536\pi\)
−0.958689 + 0.284456i \(0.908187\pi\)
\(152\) 11.3241 6.53800i 0.918510 0.530302i
\(153\) −0.848839 + 4.23767i −0.0686245 + 0.342595i
\(154\) −0.476743 1.77923i −0.0384170 0.143374i
\(155\) −3.32884 + 5.76572i −0.267379 + 0.463114i
\(156\) 4.70322 + 1.33175i 0.376559 + 0.106625i
\(157\) 3.72343 + 6.44917i 0.297162 + 0.514700i 0.975486 0.220063i \(-0.0706264\pi\)
−0.678323 + 0.734764i \(0.737293\pi\)
\(158\) 3.75353 3.75353i 0.298615 0.298615i
\(159\) −21.9848 8.29134i −1.74351 0.657546i
\(160\) 18.0776i 1.42916i
\(161\) 5.07155 5.07155i 0.399694 0.399694i
\(162\) 1.32251 9.84124i 0.103906 0.773201i
\(163\) 13.3381 + 3.57394i 1.04472 + 0.279933i 0.740070 0.672530i \(-0.234793\pi\)
0.304654 + 0.952463i \(0.401459\pi\)
\(164\) 2.44315 0.654640i 0.190778 0.0511188i
\(165\) 8.02269 + 9.78906i 0.624565 + 0.762077i
\(166\) 4.53442i 0.351939i
\(167\) 13.6487 + 13.6487i 1.05617 + 1.05617i 0.998326 + 0.0578408i \(0.0184216\pi\)
0.0578408 + 0.998326i \(0.481578\pi\)
\(168\) 1.87651 4.97562i 0.144776 0.383878i
\(169\) −4.50861 + 12.1931i −0.346816 + 0.937933i
\(170\) 6.95671i 0.533555i
\(171\) −10.6333 + 7.08430i −0.813147 + 0.541750i
\(172\) 2.66442 4.61491i 0.203160 0.351884i
\(173\) −1.83251 −0.139323 −0.0696615 0.997571i \(-0.522192\pi\)
−0.0696615 + 0.997571i \(0.522192\pi\)
\(174\) 0.105198 1.06079i 0.00797501 0.0804184i
\(175\) 13.6744 3.66406i 1.03369 0.276977i
\(176\) 2.93804 0.787247i 0.221463 0.0593410i
\(177\) 0.480702 4.84730i 0.0361318 0.364346i
\(178\) 5.23520 0.392395
\(179\) −3.59433 + 6.22556i −0.268653 + 0.465320i −0.968514 0.248958i \(-0.919912\pi\)
0.699861 + 0.714279i \(0.253245\pi\)
\(180\) 0.658426 + 10.2565i 0.0490761 + 0.764477i
\(181\) 22.0564i 1.63944i −0.572765 0.819720i \(-0.694129\pi\)
0.572765 0.819720i \(-0.305871\pi\)
\(182\) 3.60099 + 1.69038i 0.266923 + 0.125299i
\(183\) 5.21196 13.8197i 0.385279 1.02158i
\(184\) 15.5706 + 15.5706i 1.14788 + 1.14788i
\(185\) 33.0959i 2.43326i
\(186\) −1.84255 2.24823i −0.135102 0.164848i
\(187\) 2.32320 0.622499i 0.169889 0.0455216i
\(188\) −7.26693 1.94717i −0.529995 0.142012i
\(189\) −1.51837 + 4.96936i −0.110445 + 0.361468i
\(190\) −14.5429 + 14.5429i −1.05505 + 1.05505i
\(191\) 19.1989i 1.38919i 0.719402 + 0.694593i \(0.244416\pi\)
−0.719402 + 0.694593i \(0.755584\pi\)
\(192\) 13.2903 + 5.01230i 0.959145 + 0.361731i
\(193\) −6.84038 + 6.84038i −0.492381 + 0.492381i −0.909056 0.416675i \(-0.863195\pi\)
0.416675 + 0.909056i \(0.363195\pi\)
\(194\) 6.71456 + 11.6300i 0.482077 + 0.834982i
\(195\) −27.3307 0.386309i −1.95719 0.0276641i
\(196\) −0.391364 + 0.677862i −0.0279545 + 0.0484187i
\(197\) −2.49670 9.31783i −0.177883 0.663868i −0.996043 0.0888767i \(-0.971672\pi\)
0.818160 0.574991i \(-0.194994\pi\)
\(198\) −5.23510 + 1.76924i −0.372042 + 0.125735i
\(199\) −10.7281 + 6.19387i −0.760494 + 0.439071i −0.829473 0.558547i \(-0.811359\pi\)
0.0689790 + 0.997618i \(0.478026\pi\)
\(200\) 11.2493 + 41.9831i 0.795448 + 2.96865i
\(201\) −2.58516 + 1.16923i −0.182343 + 0.0824710i
\(202\) −0.934058 3.48595i −0.0657201 0.245271i
\(203\) −0.144377 + 0.538821i −0.0101333 + 0.0378178i
\(204\) 1.82743 + 0.689198i 0.127946 + 0.0482535i
\(205\) −12.2487 + 7.07177i −0.855484 + 0.493914i
\(206\) 11.2901 3.02517i 0.786619 0.210774i
\(207\) −16.1581 14.2087i −1.12307 0.987573i
\(208\) −2.79133 + 5.94633i −0.193544 + 0.412304i
\(209\) 6.15793 + 3.55529i 0.425953 + 0.245924i
\(210\) −0.825405 + 8.32322i −0.0569584 + 0.574357i
\(211\) 0.442367 0.0304538 0.0152269 0.999884i \(-0.495153\pi\)
0.0152269 + 0.999884i \(0.495153\pi\)
\(212\) −5.30909 + 9.19562i −0.364630 + 0.631558i
\(213\) −13.8609 + 19.3154i −0.949731 + 1.32347i
\(214\) 3.45285 + 3.45285i 0.236032 + 0.236032i
\(215\) −7.71224 + 28.7825i −0.525970 + 1.96295i
\(216\) −15.2569 4.66168i −1.03810 0.317187i
\(217\) 0.760556 + 1.31732i 0.0516299 + 0.0894256i
\(218\) −4.23160 7.32935i −0.286600 0.496406i
\(219\) 5.28640 + 11.6882i 0.357222 + 0.789815i
\(220\) 4.95333 2.85981i 0.333953 0.192808i
\(221\) −2.20719 + 4.70193i −0.148471 + 0.316286i
\(222\) 13.5204 + 5.09908i 0.907429 + 0.342228i
\(223\) −3.01107 + 11.2375i −0.201636 + 0.752516i 0.788813 + 0.614634i \(0.210696\pi\)
−0.990449 + 0.137882i \(0.955970\pi\)
\(224\) −3.57693 2.06514i −0.238994 0.137983i
\(225\) −13.5977 40.2349i −0.906514 2.68233i
\(226\) −2.51852 2.51852i −0.167529 0.167529i
\(227\) −12.3562 + 12.3562i −0.820112 + 0.820112i −0.986124 0.166012i \(-0.946911\pi\)
0.166012 + 0.986124i \(0.446911\pi\)
\(228\) 2.37947 + 5.26098i 0.157584 + 0.348417i
\(229\) 4.16313 + 1.11551i 0.275107 + 0.0737147i 0.393735 0.919224i \(-0.371183\pi\)
−0.118628 + 0.992939i \(0.537850\pi\)
\(230\) −29.9946 17.3174i −1.97778 1.14187i
\(231\) 2.85340 0.469132i 0.187740 0.0308666i
\(232\) −1.65428 0.443263i −0.108609 0.0291016i
\(233\) 19.0080 1.24526 0.622628 0.782518i \(-0.286065\pi\)
0.622628 + 0.782518i \(0.286065\pi\)
\(234\) 4.36865 11.1057i 0.285588 0.726000i
\(235\) 42.0686 2.74425
\(236\) −2.12627 0.569733i −0.138409 0.0370865i
\(237\) 5.28233 + 6.44535i 0.343124 + 0.418670i
\(238\) 1.37649 + 0.794716i 0.0892245 + 0.0515138i
\(239\) −7.03800 1.88583i −0.455250 0.121984i 0.0239047 0.999714i \(-0.492390\pi\)
−0.479155 + 0.877730i \(0.659057\pi\)
\(240\) −13.7441 1.36299i −0.887181 0.0879809i
\(241\) −4.46239 + 4.46239i −0.287447 + 0.287447i −0.836070 0.548623i \(-0.815152\pi\)
0.548623 + 0.836070i \(0.315152\pi\)
\(242\) −6.40713 6.40713i −0.411866 0.411866i
\(243\) 15.1693 + 3.59068i 0.973110 + 0.230343i
\(244\) −5.78039 3.33731i −0.370052 0.213649i
\(245\) 1.13281 4.22771i 0.0723727 0.270099i
\(246\) −1.00182 6.09339i −0.0638739 0.388500i
\(247\) −14.4434 + 5.21523i −0.919013 + 0.331837i
\(248\) −4.04442 + 2.33505i −0.256821 + 0.148276i
\(249\) 7.08375 + 0.702488i 0.448914 + 0.0445184i
\(250\) −22.1091 38.2941i −1.39830 2.42193i
\(251\) 2.63081 + 4.55670i 0.166055 + 0.287617i 0.937030 0.349250i \(-0.113564\pi\)
−0.770974 + 0.636866i \(0.780230\pi\)
\(252\) 2.10462 + 1.04140i 0.132579 + 0.0656020i
\(253\) −3.09918 + 11.5663i −0.194844 + 0.727166i
\(254\) 2.53948 + 2.53948i 0.159341 + 0.159341i
\(255\) −10.8679 1.07776i −0.680574 0.0674919i
\(256\) 7.76641 13.4518i 0.485401 0.840738i
\(257\) 13.0161 0.811921 0.405961 0.913891i \(-0.366937\pi\)
0.405961 + 0.913891i \(0.366937\pi\)
\(258\) −10.5700 7.58512i −0.658062 0.472229i
\(259\) −6.54852 3.78079i −0.406905 0.234927i
\(260\) −2.17600 + 12.1590i −0.134950 + 0.754070i
\(261\) 1.64089 + 0.328683i 0.101569 + 0.0203450i
\(262\) 19.3130 5.17491i 1.19316 0.319707i
\(263\) 13.5208 7.80626i 0.833731 0.481355i −0.0213975 0.999771i \(-0.506812\pi\)
0.855128 + 0.518416i \(0.173478\pi\)
\(264\) 1.44032 + 8.76047i 0.0886457 + 0.539170i
\(265\) 15.3673 57.3516i 0.944006 3.52308i
\(266\) 1.21619 + 4.53887i 0.0745692 + 0.278296i
\(267\) −0.811056 + 8.17852i −0.0496358 + 0.500517i
\(268\) 0.331854 + 1.23850i 0.0202712 + 0.0756533i
\(269\) 5.76388 3.32778i 0.351430 0.202898i −0.313885 0.949461i \(-0.601631\pi\)
0.665315 + 0.746563i \(0.268297\pi\)
\(270\) 25.0770 + 0.871477i 1.52614 + 0.0530364i
\(271\) 4.26855 + 15.9304i 0.259296 + 0.967705i 0.965650 + 0.259847i \(0.0836720\pi\)
−0.706354 + 0.707859i \(0.749661\pi\)
\(272\) −1.31232 + 2.27300i −0.0795709 + 0.137821i
\(273\) −3.19862 + 5.36366i −0.193590 + 0.324623i
\(274\) −9.56611 16.5690i −0.577910 1.00097i
\(275\) −16.7126 + 16.7126i −1.00781 + 1.00781i
\(276\) −7.52058 + 6.16354i −0.452686 + 0.371002i
\(277\) 2.04238i 0.122715i 0.998116 + 0.0613574i \(0.0195429\pi\)
−0.998116 + 0.0613574i \(0.980457\pi\)
\(278\) 4.68922 4.68922i 0.281241 0.281241i
\(279\) 3.79767 2.53016i 0.227361 0.151477i
\(280\) 12.9799 + 3.47794i 0.775695 + 0.207847i
\(281\) −0.311473 + 0.0834589i −0.0185809 + 0.00497874i −0.268098 0.963392i \(-0.586395\pi\)
0.249517 + 0.968371i \(0.419728\pi\)
\(282\) −6.48150 + 17.1859i −0.385968 + 1.02341i
\(283\) 31.2149i 1.85553i 0.373160 + 0.927767i \(0.378274\pi\)
−0.373160 + 0.927767i \(0.621726\pi\)
\(284\) 7.59696 + 7.59696i 0.450796 + 0.450796i
\(285\) −20.4661 24.9722i −1.21231 1.47923i
\(286\) −6.61759 + 0.561935i −0.391306 + 0.0332279i
\(287\) 3.23144i 0.190746i
\(288\) −5.49525 + 11.1057i −0.323810 + 0.654407i
\(289\) 7.46231 12.9251i 0.438960 0.760300i
\(290\) 2.69374 0.158182
\(291\) −19.2088 + 8.68785i −1.12604 + 0.509291i
\(292\) 5.59959 1.50040i 0.327691 0.0878045i
\(293\) −0.977624 + 0.261954i −0.0571134 + 0.0153035i −0.287263 0.957852i \(-0.592745\pi\)
0.230149 + 0.973155i \(0.426079\pi\)
\(294\) 1.55258 + 1.11414i 0.0905484 + 0.0649780i
\(295\) 12.3091 0.716664
\(296\) 11.6077 20.1052i 0.674685 1.16859i
\(297\) −1.95290 8.45246i −0.113319 0.490461i
\(298\) 24.6823i 1.42981i
\(299\) −14.7785 21.2211i −0.854663 1.22725i
\(300\) −18.9385 + 3.11370i −1.09341 + 0.179770i
\(301\) 4.81402 + 4.81402i 0.277475 + 0.277475i
\(302\) 0.722261i 0.0415615i
\(303\) 5.59052 0.919145i 0.321167 0.0528035i
\(304\) −7.49505 + 2.00829i −0.429871 + 0.115184i
\(305\) 36.0514 + 9.65994i 2.06430 + 0.553126i
\(306\) 2.11470 4.27372i 0.120889 0.244312i
\(307\) 6.30755 6.30755i 0.359991 0.359991i −0.503819 0.863809i \(-0.668072\pi\)
0.863809 + 0.503819i \(0.168072\pi\)
\(308\) 1.30679i 0.0744611i
\(309\) 2.97688 + 18.1063i 0.169349 + 1.03003i
\(310\) 5.19400 5.19400i 0.294999 0.294999i
\(311\) 8.36033 + 14.4805i 0.474071 + 0.821115i 0.999559 0.0296861i \(-0.00945076\pi\)
−0.525489 + 0.850801i \(0.676117\pi\)
\(312\) −16.4674 9.82037i −0.932284 0.555969i
\(313\) 3.57212 6.18710i 0.201908 0.349716i −0.747235 0.664560i \(-0.768619\pi\)
0.949143 + 0.314844i \(0.101952\pi\)
\(314\) −2.12649 7.93617i −0.120005 0.447864i
\(315\) −12.8748 2.57893i −0.725413 0.145306i
\(316\) 3.26139 1.88296i 0.183467 0.105925i
\(317\) 4.01692 + 14.9913i 0.225613 + 0.841998i 0.982158 + 0.188057i \(0.0602189\pi\)
−0.756545 + 0.653941i \(0.773114\pi\)
\(318\) 21.0617 + 15.1140i 1.18108 + 0.847552i
\(319\) −0.241041 0.899577i −0.0134957 0.0503667i
\(320\) −9.28987 + 34.6703i −0.519320 + 1.93813i
\(321\) −5.92904 + 4.85918i −0.330927 + 0.271213i
\(322\) −6.85300 + 3.95658i −0.381903 + 0.220492i
\(323\) −5.92655 + 1.58802i −0.329762 + 0.0883595i
\(324\) 2.71329 6.50105i 0.150738 0.361170i
\(325\) −4.31881 50.8601i −0.239564 2.82121i
\(326\) −13.1940 7.61755i −0.730747 0.421897i
\(327\) 12.1056 5.47519i 0.669442 0.302779i
\(328\) −9.92112 −0.547802
\(329\) 4.80581 8.32390i 0.264953 0.458912i
\(330\) −5.75451 12.7232i −0.316776 0.700388i
\(331\) −7.08194 7.08194i −0.389259 0.389259i 0.485164 0.874423i \(-0.338760\pi\)
−0.874423 + 0.485164i \(0.838760\pi\)
\(332\) 0.832596 3.10729i 0.0456947 0.170535i
\(333\) −10.0605 + 20.3318i −0.551312 + 1.11418i
\(334\) −10.6480 18.4429i −0.582635 1.00915i
\(335\) −3.58486 6.20917i −0.195862 0.339243i
\(336\) −1.83978 + 2.56378i −0.100368 + 0.139866i
\(337\) 22.4686 12.9723i 1.22395 0.706645i 0.258188 0.966095i \(-0.416874\pi\)
0.965757 + 0.259449i \(0.0835411\pi\)
\(338\) 8.28667 11.7068i 0.450735 0.636768i
\(339\) 4.32465 3.54429i 0.234883 0.192500i
\(340\) −1.27737 + 4.76721i −0.0692751 + 0.258538i
\(341\) −2.19931 1.26977i −0.119099 0.0687619i
\(342\) 13.3549 4.51340i 0.722151 0.244057i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) −14.7799 + 14.7799i −0.796880 + 0.796880i
\(345\) 31.7004 44.1752i 1.70669 2.37831i
\(346\) 1.95292 + 0.523282i 0.104989 + 0.0281318i
\(347\) −14.2368 8.21961i −0.764271 0.441252i 0.0665564 0.997783i \(-0.478799\pi\)
−0.830827 + 0.556531i \(0.812132\pi\)
\(348\) 0.266868 0.707610i 0.0143056 0.0379319i
\(349\) −32.5155 8.71250i −1.74051 0.466369i −0.757953 0.652309i \(-0.773800\pi\)
−0.982561 + 0.185940i \(0.940467\pi\)
\(350\) −15.6192 −0.834884
\(351\) 16.6727 + 8.54531i 0.889921 + 0.456115i
\(352\) 6.89563 0.367538
\(353\) −19.6186 5.25678i −1.04419 0.279790i −0.304342 0.952563i \(-0.598437\pi\)
−0.739849 + 0.672773i \(0.765103\pi\)
\(354\) −1.89646 + 5.02854i −0.100796 + 0.267264i
\(355\) −52.0279 30.0383i −2.76136 1.59427i
\(356\) 3.58751 + 0.961271i 0.190138 + 0.0509473i
\(357\) −1.45477 + 2.02726i −0.0769946 + 0.107294i
\(358\) 5.60824 5.60824i 0.296405 0.296405i
\(359\) 14.0276 + 14.0276i 0.740351 + 0.740351i 0.972646 0.232294i \(-0.0746233\pi\)
−0.232294 + 0.972646i \(0.574623\pi\)
\(360\) 7.91778 39.5280i 0.417304 2.08331i
\(361\) 0.745383 + 0.430347i 0.0392307 + 0.0226499i
\(362\) −6.29832 + 23.5057i −0.331032 + 1.23543i
\(363\) 11.0019 9.01671i 0.577452 0.473255i
\(364\) 2.15726 + 1.81957i 0.113071 + 0.0953713i
\(365\) −28.0733 + 16.2082i −1.46943 + 0.848373i
\(366\) −9.50072 + 13.2395i −0.496610 + 0.692038i
\(367\) −5.69270 9.86004i −0.297157 0.514690i 0.678328 0.734759i \(-0.262705\pi\)
−0.975484 + 0.220069i \(0.929372\pi\)
\(368\) −6.53351 11.3164i −0.340583 0.589907i
\(369\) 9.67441 0.621056i 0.503629 0.0323309i
\(370\) −9.45071 + 35.2705i −0.491319 + 1.83363i
\(371\) −9.59234 9.59234i −0.498010 0.498010i
\(372\) −0.849827 1.87896i −0.0440615 0.0974195i
\(373\) −16.6931 + 28.9134i −0.864338 + 1.49708i 0.00336468 + 0.999994i \(0.498929\pi\)
−0.867703 + 0.497083i \(0.834404\pi\)
\(374\) −2.65360 −0.137215
\(375\) 63.2489 28.6066i 3.26616 1.47724i
\(376\) 25.5559 + 14.7547i 1.31795 + 0.760917i
\(377\) 1.82066 + 0.854657i 0.0937688 + 0.0440171i
\(378\) 3.03716 4.86230i 0.156215 0.250090i
\(379\) 29.9746 8.03166i 1.53969 0.412559i 0.613524 0.789676i \(-0.289751\pi\)
0.926165 + 0.377118i \(0.123085\pi\)
\(380\) −12.6361 + 7.29546i −0.648219 + 0.374249i
\(381\) −4.36065 + 3.57380i −0.223403 + 0.183091i
\(382\) 5.48236 20.4604i 0.280502 1.04685i
\(383\) 4.95610 + 18.4964i 0.253245 + 0.945123i 0.969058 + 0.246831i \(0.0793893\pi\)
−0.715814 + 0.698291i \(0.753944\pi\)
\(384\) −1.10788 0.795018i −0.0565360 0.0405706i
\(385\) 1.89126 + 7.05829i 0.0963877 + 0.359724i
\(386\) 9.24314 5.33653i 0.470464 0.271622i
\(387\) 13.4872 15.3376i 0.685591 0.779654i
\(388\) 2.46581 + 9.20254i 0.125183 + 0.467188i
\(389\) 8.66010 14.9997i 0.439084 0.760516i −0.558535 0.829481i \(-0.688636\pi\)
0.997619 + 0.0689647i \(0.0219696\pi\)
\(390\) 29.0162 + 8.21612i 1.46929 + 0.416039i
\(391\) −5.16623 8.94818i −0.261268 0.452529i
\(392\) 2.17095 2.17095i 0.109649 0.109649i
\(393\) 5.09229 + 30.9729i 0.256872 + 1.56237i
\(394\) 10.6430i 0.536187i
\(395\) −14.8905 + 14.8905i −0.749221 + 0.749221i
\(396\) −3.91231 + 0.251153i −0.196601 + 0.0126209i
\(397\) −6.59114 1.76609i −0.330800 0.0886376i 0.0895964 0.995978i \(-0.471442\pi\)
−0.420396 + 0.907341i \(0.638109\pi\)
\(398\) 13.2017 3.53738i 0.661741 0.177313i
\(399\) −7.27912 + 1.19677i −0.364412 + 0.0599135i
\(400\) 25.7921i 1.28960i
\(401\) 0.646610 + 0.646610i 0.0322902 + 0.0322902i 0.723068 0.690777i \(-0.242732\pi\)
−0.690777 + 0.723068i \(0.742732\pi\)
\(402\) 3.08890 0.507850i 0.154060 0.0253293i
\(403\) 5.15847 1.86262i 0.256962 0.0927837i
\(404\) 2.56032i 0.127381i
\(405\) −5.24646 + 39.0407i −0.260698 + 1.93995i
\(406\) 0.307726 0.532998i 0.0152722 0.0264522i
\(407\) 12.6243 0.625762
\(408\) −6.22405 4.46641i −0.308136 0.221120i
\(409\) −3.40615 + 0.912674i −0.168423 + 0.0451288i −0.342045 0.939684i \(-0.611120\pi\)
0.173622 + 0.984812i \(0.444453\pi\)
\(410\) 15.0729 4.03876i 0.744395 0.199460i
\(411\) 27.3664 12.3774i 1.34988 0.610533i
\(412\) 8.29222 0.408528
\(413\) 1.40616 2.43554i 0.0691926 0.119845i
\(414\) 13.1624 + 19.7563i 0.646899 + 0.970971i
\(415\) 17.9883i 0.883010i
\(416\) −9.60147 + 11.3834i −0.470751 + 0.558118i
\(417\) 6.59911 + 8.05205i 0.323160 + 0.394311i
\(418\) −5.54732 5.54732i −0.271328 0.271328i
\(419\) 19.6849i 0.961669i −0.876811 0.480834i \(-0.840334\pi\)
0.876811 0.480834i \(-0.159666\pi\)
\(420\) −2.09391 + 5.55208i −0.102172 + 0.270914i
\(421\) −20.4505 + 5.47970i −0.996698 + 0.267064i −0.720061 0.693910i \(-0.755886\pi\)
−0.276636 + 0.960975i \(0.589220\pi\)
\(422\) −0.471433 0.126320i −0.0229490 0.00614917i
\(423\) −25.8441 12.7880i −1.25658 0.621775i
\(424\) 29.4503 29.4503i 1.43023 1.43023i
\(425\) 20.3946i 0.989281i
\(426\) 20.2872 16.6265i 0.982920 0.805559i
\(427\) 6.02978 6.02978i 0.291801 0.291801i
\(428\) 1.73213 + 3.00013i 0.0837256 + 0.145017i
\(429\) 0.147356 10.4252i 0.00711440 0.503332i
\(430\) 16.4380 28.4714i 0.792709 1.37301i
\(431\) 1.75651 + 6.55539i 0.0846081 + 0.315762i 0.995240 0.0974574i \(-0.0310710\pi\)
−0.910632 + 0.413219i \(0.864404\pi\)
\(432\) 8.02913 + 5.01528i 0.386302 + 0.241298i
\(433\) −18.1914 + 10.5028i −0.874222 + 0.504732i −0.868749 0.495253i \(-0.835075\pi\)
−0.00547279 + 0.999985i \(0.501742\pi\)
\(434\) −0.434361 1.62106i −0.0208500 0.0778133i
\(435\) −0.417325 + 4.20822i −0.0200092 + 0.201769i
\(436\) −1.55399 5.79956i −0.0744225 0.277749i
\(437\) 7.90611 29.5060i 0.378200 1.41146i
\(438\) −2.29613 13.9658i −0.109713 0.667310i
\(439\) −5.49051 + 3.16995i −0.262048 + 0.151293i −0.625268 0.780410i \(-0.715011\pi\)
0.363220 + 0.931703i \(0.381677\pi\)
\(440\) −21.6703 + 5.80653i −1.03309 + 0.276816i
\(441\) −1.98106 + 2.25286i −0.0943363 + 0.107279i
\(442\) 3.69488 4.38061i 0.175747 0.208364i
\(443\) −6.12738 3.53764i −0.291120 0.168078i 0.347327 0.937744i \(-0.387090\pi\)
−0.638447 + 0.769666i \(0.720423\pi\)
\(444\) 8.32881 + 5.97681i 0.395268 + 0.283647i
\(445\) −20.7683 −0.984512
\(446\) 6.41783 11.1160i 0.303893 0.526358i
\(447\) −38.5591 3.82387i −1.82378 0.180863i
\(448\) 5.79878 + 5.79878i 0.273967 + 0.273967i
\(449\) 5.35701 19.9927i 0.252813 0.943512i −0.716481 0.697607i \(-0.754248\pi\)
0.969294 0.245905i \(-0.0790851\pi\)
\(450\) 3.00189 + 46.7615i 0.141510 + 2.20436i
\(451\) −2.69749 4.67219i −0.127020 0.220005i
\(452\) −1.26342 2.18830i −0.0594261 0.102929i
\(453\) 1.12833 + 0.111895i 0.0530135 + 0.00525730i
\(454\) 16.6965 9.63974i 0.783606 0.452415i
\(455\) −14.2853 6.70583i −0.669707 0.314374i
\(456\) −3.67431 22.3483i −0.172065 1.04655i
\(457\) −2.98369 + 11.1353i −0.139571 + 0.520887i 0.860366 + 0.509677i \(0.170235\pi\)
−0.999937 + 0.0112099i \(0.996432\pi\)
\(458\) −4.11813 2.37760i −0.192428 0.111098i
\(459\) 6.34887 + 3.96572i 0.296340 + 0.185104i
\(460\) −17.3745 17.3745i −0.810092 0.810092i
\(461\) 11.2830 11.2830i 0.525502 0.525502i −0.393726 0.919228i \(-0.628814\pi\)
0.919228 + 0.393726i \(0.128814\pi\)
\(462\) −3.17485 0.314847i −0.147708 0.0146480i
\(463\) −29.8984 8.01126i −1.38950 0.372315i −0.514936 0.857229i \(-0.672184\pi\)
−0.874562 + 0.484914i \(0.838851\pi\)
\(464\) 0.880140 + 0.508149i 0.0408595 + 0.0235902i
\(465\) 7.30948 + 8.91883i 0.338969 + 0.413601i
\(466\) −20.2569 5.42783i −0.938385 0.251440i
\(467\) 38.1491 1.76533 0.882665 0.470003i \(-0.155747\pi\)
0.882665 + 0.470003i \(0.155747\pi\)
\(468\) 5.03288 6.80820i 0.232645 0.314709i
\(469\) −1.63810 −0.0756405
\(470\) −44.8328 12.0129i −2.06798 0.554115i
\(471\) 12.7275 2.09254i 0.586451 0.0964193i
\(472\) 7.47756 + 4.31717i 0.344183 + 0.198714i
\(473\) −10.9789 2.94180i −0.504812 0.135264i
\(474\) −3.78891 8.37725i −0.174030 0.384780i
\(475\) 42.6345 42.6345i 1.95621 1.95621i
\(476\) 0.797340 + 0.797340i 0.0365460 + 0.0365460i
\(477\) −26.8743 + 30.5615i −1.23049 + 1.39931i
\(478\) 6.96194 + 4.01948i 0.318432 + 0.183847i
\(479\) 9.94861 37.1287i 0.454564 1.69646i −0.234803 0.972043i \(-0.575445\pi\)
0.689367 0.724412i \(-0.257889\pi\)
\(480\) −29.2971 11.0491i −1.33722 0.504320i
\(481\) −17.5780 + 20.8403i −0.801489 + 0.950237i
\(482\) 6.02985 3.48134i 0.274652 0.158571i
\(483\) −5.11935 11.3188i −0.232938 0.515025i
\(484\) −3.21414 5.56706i −0.146097 0.253048i
\(485\) −26.6370 46.1366i −1.20952 2.09496i
\(486\) −15.1407 8.15828i −0.686794 0.370067i
\(487\) −10.4051 + 38.8325i −0.471501 + 1.75967i 0.162880 + 0.986646i \(0.447922\pi\)
−0.634381 + 0.773020i \(0.718745\pi\)
\(488\) 18.5125 + 18.5125i 0.838023 + 0.838023i
\(489\) 13.9443 19.4317i 0.630585 0.878734i
\(490\) −2.41449 + 4.18202i −0.109076 + 0.188925i
\(491\) 1.29279 0.0583427 0.0291713 0.999574i \(-0.490713\pi\)
0.0291713 + 0.999574i \(0.490713\pi\)
\(492\) 0.432333 4.35956i 0.0194911 0.196544i
\(493\) 0.695952 + 0.401808i 0.0313441 + 0.0180965i
\(494\) 16.8817 1.43351i 0.759543 0.0644969i
\(495\) 20.7679 7.01868i 0.933448 0.315466i
\(496\) 2.67686 0.717262i 0.120194 0.0322060i
\(497\) −11.8871 + 6.86300i −0.533208 + 0.307848i
\(498\) −7.34860 2.77145i −0.329299 0.124192i
\(499\) 3.43352 12.8141i 0.153705 0.573636i −0.845507 0.533964i \(-0.820702\pi\)
0.999213 0.0396724i \(-0.0126314\pi\)
\(500\) −8.11921 30.3013i −0.363102 1.35512i
\(501\) 30.4615 13.7773i 1.36092 0.615525i
\(502\) −1.50249 5.60735i −0.0670592 0.250268i
\(503\) 0.471803 0.272396i 0.0210367 0.0121455i −0.489445 0.872034i \(-0.662801\pi\)
0.510481 + 0.859889i \(0.329467\pi\)
\(504\) −6.91671 6.08223i −0.308095 0.270924i
\(505\) 3.70546 + 13.8289i 0.164891 + 0.615380i
\(506\) 6.60563 11.4413i 0.293656 0.508627i
\(507\) 17.0048 + 14.7592i 0.755211 + 0.655481i
\(508\) 1.27393 + 2.20652i 0.0565217 + 0.0978984i
\(509\) −3.79730 + 3.79730i −0.168312 + 0.168312i −0.786237 0.617925i \(-0.787974\pi\)
0.617925 + 0.786237i \(0.287974\pi\)
\(510\) 11.2742 + 4.25196i 0.499231 + 0.188280i
\(511\) 7.40631i 0.327636i
\(512\) −13.2313 + 13.2313i −0.584748 + 0.584748i
\(513\) 4.98192 + 21.5625i 0.219957 + 0.952008i
\(514\) −13.8713 3.71681i −0.611838 0.163942i
\(515\) −44.7884 + 12.0010i −1.97361 + 0.528828i
\(516\) −5.85055 7.13868i −0.257556 0.314263i
\(517\) 16.0469i 0.705741i
\(518\) 5.89917 + 5.89917i 0.259195 + 0.259195i
\(519\) −1.12003 + 2.96981i −0.0491640 + 0.130360i
\(520\) 20.5882 43.8586i 0.902850 1.92333i
\(521\) 23.4521i 1.02746i −0.857953 0.513728i \(-0.828264\pi\)
0.857953 0.513728i \(-0.171736\pi\)
\(522\) −1.65485 0.818845i −0.0724308 0.0358399i
\(523\) −11.6560 + 20.1888i −0.509682 + 0.882795i 0.490255 + 0.871579i \(0.336904\pi\)
−0.999937 + 0.0112161i \(0.996430\pi\)
\(524\) 14.1848 0.619665
\(525\) 2.41979 24.4007i 0.105608 1.06493i
\(526\) −16.6384 + 4.45824i −0.725468 + 0.194388i
\(527\) 2.11667 0.567160i 0.0922035 0.0247059i
\(528\) 0.519907 5.24264i 0.0226261 0.228157i
\(529\) 28.4413 1.23658
\(530\) −32.7541 + 56.7317i −1.42275 + 2.46427i
\(531\) −7.56186 3.74172i −0.328157 0.162377i
\(532\) 3.33366i 0.144532i
\(533\) 11.4689 + 2.05250i 0.496774 + 0.0889036i
\(534\) 3.19977 8.48430i 0.138467 0.367152i
\(535\) −13.6977 13.6977i −0.592201 0.592201i
\(536\) 5.02927i 0.217232i
\(537\) 7.89244 + 9.63014i 0.340584 + 0.415571i
\(538\) −7.09288 + 1.90053i −0.305796 + 0.0819377i
\(539\) 1.61264 + 0.432106i 0.0694614 + 0.0186121i
\(540\) 17.0244 + 5.20176i 0.732615 + 0.223848i
\(541\) −22.7830 + 22.7830i −0.979516 + 0.979516i −0.999794 0.0202784i \(-0.993545\pi\)
0.0202784 + 0.999794i \(0.493545\pi\)
\(542\) 18.1961i 0.781589i
\(543\) −35.7452 13.4809i −1.53397 0.578522i
\(544\) −4.20739 + 4.20739i −0.180391 + 0.180391i
\(545\) 16.7870 + 29.0759i 0.719075 + 1.24548i
\(546\) 4.94042 4.80270i 0.211430 0.205537i
\(547\) −7.49651 + 12.9843i −0.320528 + 0.555170i −0.980597 0.196035i \(-0.937194\pi\)
0.660069 + 0.751205i \(0.270527\pi\)
\(548\) −3.51300 13.1107i −0.150068 0.560061i
\(549\) −19.2110 16.8933i −0.819907 0.720988i
\(550\) 22.5832 13.0384i 0.962949 0.555959i
\(551\) 0.614904 + 2.29485i 0.0261958 + 0.0977640i
\(552\) 34.7509 15.7174i 1.47910 0.668975i
\(553\) 1.24525 + 4.64735i 0.0529536 + 0.197625i
\(554\) 0.583213 2.17658i 0.0247783 0.0924740i
\(555\) −53.6361 20.2283i −2.27673 0.858643i
\(556\) 4.07439 2.35235i 0.172793 0.0997619i
\(557\) −35.4227 + 9.49148i −1.50091 + 0.402167i −0.913404 0.407055i \(-0.866556\pi\)
−0.587503 + 0.809222i \(0.699889\pi\)
\(558\) −4.76971 + 1.61196i −0.201918 + 0.0682398i
\(559\) 20.1434 14.0280i 0.851976 0.593323i
\(560\) −6.90578 3.98706i −0.291823 0.168484i
\(561\) 0.411106 4.14551i 0.0173569 0.175023i
\(562\) 0.355771 0.0150073
\(563\) −17.3521 + 30.0547i −0.731302 + 1.26665i 0.225024 + 0.974353i \(0.427754\pi\)
−0.956327 + 0.292300i \(0.905580\pi\)
\(564\) −7.59720 + 10.5869i −0.319900 + 0.445787i
\(565\) 9.99108 + 9.99108i 0.420328 + 0.420328i
\(566\) 8.91358 33.2659i 0.374666 1.39827i
\(567\) 7.12545 + 5.49800i 0.299241 + 0.230894i
\(568\) −21.0707 36.4955i −0.884106 1.53132i
\(569\) −0.539044 0.933652i −0.0225979 0.0391407i 0.854505 0.519443i \(-0.173860\pi\)
−0.877103 + 0.480302i \(0.840527\pi\)
\(570\) 14.6800 + 32.4573i 0.614876 + 1.35949i
\(571\) −22.8151 + 13.1723i −0.954784 + 0.551245i −0.894564 0.446940i \(-0.852514\pi\)
−0.0602200 + 0.998185i \(0.519180\pi\)
\(572\) −4.63800 0.830025i −0.193924 0.0347051i
\(573\) 31.1143 + 11.7344i 1.29982 + 0.490214i
\(574\) 0.922755 3.44377i 0.0385150 0.143740i
\(575\) 87.9332 + 50.7682i 3.66707 + 2.11718i
\(576\) 16.2461 18.4751i 0.676922 0.769795i
\(577\) −6.14203 6.14203i −0.255696 0.255696i 0.567605 0.823301i \(-0.307870\pi\)
−0.823301 + 0.567605i \(0.807870\pi\)
\(578\) −11.6435 + 11.6435i −0.484304 + 0.484304i
\(579\) 6.90484 + 15.2666i 0.286955 + 0.634456i
\(580\) 1.84594 + 0.494617i 0.0766484 + 0.0205379i
\(581\) 3.55925 + 2.05493i 0.147663 + 0.0852530i
\(582\) 22.9518 3.77353i 0.951381 0.156418i
\(583\) 21.8765 + 5.86179i 0.906032 + 0.242770i
\(584\) −22.7387 −0.940935
\(585\) −17.3307 + 44.0568i −0.716535 + 1.82152i
\(586\) 1.11666 0.0461289
\(587\) 2.66127 + 0.713084i 0.109842 + 0.0294321i 0.313321 0.949647i \(-0.398558\pi\)
−0.203479 + 0.979079i \(0.565225\pi\)
\(588\) 0.859358 + 1.04857i 0.0354393 + 0.0432421i
\(589\) 5.61051 + 3.23923i 0.231177 + 0.133470i
\(590\) −13.1179 3.51493i −0.540055 0.144707i
\(591\) −16.6267 1.64885i −0.683931 0.0678248i
\(592\) −9.74132 + 9.74132i −0.400366 + 0.400366i
\(593\) −25.0827 25.0827i −1.03002 1.03002i −0.999535 0.0304872i \(-0.990294\pi\)
−0.0304872 0.999535i \(-0.509706\pi\)
\(594\) −0.332421 + 9.56550i −0.0136394 + 0.392477i
\(595\) −5.46060 3.15268i −0.223863 0.129247i
\(596\) −4.53208 + 16.9140i −0.185641 + 0.692823i
\(597\) 3.48091 + 21.1719i 0.142464 + 0.866510i
\(598\) 9.68977 + 26.8355i 0.396244 + 1.09739i
\(599\) 27.7347 16.0127i 1.13321 0.654260i 0.188471 0.982079i \(-0.439647\pi\)
0.944740 + 0.327819i \(0.106314\pi\)
\(600\) 74.9146 + 7.42920i 3.05837 + 0.303296i
\(601\) −4.73260 8.19710i −0.193047 0.334367i 0.753212 0.657778i \(-0.228504\pi\)
−0.946258 + 0.323411i \(0.895170\pi\)
\(602\) −3.75566 6.50500i −0.153069 0.265124i
\(603\) 0.314829 + 4.90421i 0.0128208 + 0.199715i
\(604\) 0.132619 0.494942i 0.00539621 0.0201389i
\(605\) 25.4174 + 25.4174i 1.03336 + 1.03336i
\(606\) −6.22032 0.616863i −0.252683 0.0250584i
\(607\) −1.00553 + 1.74164i −0.0408134 + 0.0706909i −0.885711 0.464238i \(-0.846328\pi\)
0.844897 + 0.534929i \(0.179662\pi\)
\(608\) −17.5910 −0.713409
\(609\) 0.784984 + 0.563309i 0.0318092 + 0.0228265i
\(610\) −35.6617 20.5893i −1.44390 0.833637i
\(611\) −26.4904 22.3437i −1.07169 0.903928i
\(612\) 2.23386 2.54035i 0.0902986 0.102688i
\(613\) −7.49754 + 2.00896i −0.302823 + 0.0811412i −0.407031 0.913414i \(-0.633436\pi\)
0.104208 + 0.994556i \(0.466769\pi\)
\(614\) −8.52315 + 4.92084i −0.343966 + 0.198589i
\(615\) 3.97428 + 24.1728i 0.160259 + 0.974741i
\(616\) −1.32665 + 4.95111i −0.0534521 + 0.199486i
\(617\) 3.03180 + 11.3148i 0.122055 + 0.455517i 0.999718 0.0237625i \(-0.00756456\pi\)
−0.877662 + 0.479280i \(0.840898\pi\)
\(618\) 1.99786 20.1460i 0.0803658 0.810392i
\(619\) 11.6285 + 43.3980i 0.467387 + 1.74431i 0.648852 + 0.760915i \(0.275250\pi\)
−0.181465 + 0.983397i \(0.558084\pi\)
\(620\) 4.51299 2.60557i 0.181246 0.104642i
\(621\) −32.9029 + 17.5019i −1.32035 + 0.702326i
\(622\) −4.77467 17.8193i −0.191447 0.714490i
\(623\) −2.37252 + 4.10932i −0.0950529 + 0.164636i
\(624\) 7.93071 + 8.15812i 0.317482 + 0.326586i
\(625\) 52.3159 + 90.6137i 2.09263 + 3.62455i
\(626\) −5.57360 + 5.57360i −0.222766 + 0.222766i
\(627\) 9.52554 7.80671i 0.380413 0.311770i
\(628\) 5.82887i 0.232597i
\(629\) −7.70274 + 7.70274i −0.307128 + 0.307128i
\(630\) 12.9843 + 6.42485i 0.517309 + 0.255972i
\(631\) 4.38587 + 1.17519i 0.174599 + 0.0467836i 0.345059 0.938581i \(-0.387859\pi\)
−0.170460 + 0.985365i \(0.554525\pi\)
\(632\) −14.2682 + 3.82316i −0.567559 + 0.152077i
\(633\) 0.270376 0.716911i 0.0107465 0.0284947i
\(634\) 17.1234i 0.680058i
\(635\) −10.0743 10.0743i −0.399785 0.399785i
\(636\) 11.6577 + 14.2244i 0.462259 + 0.564036i
\(637\) −2.95877 + 2.06051i −0.117231 + 0.0816403i
\(638\) 1.02752i 0.0406798i
\(639\) 22.8313 + 34.2689i 0.903193 + 1.35566i
\(640\) 1.72291 2.98417i 0.0681040 0.117960i
\(641\) 24.2485 0.957759 0.478879 0.877881i \(-0.341043\pi\)
0.478879 + 0.877881i \(0.341043\pi\)
\(642\) 7.70618 3.48540i 0.304139 0.137558i
\(643\) −6.39195 + 1.71272i −0.252074 + 0.0675430i −0.382643 0.923896i \(-0.624986\pi\)
0.130569 + 0.991439i \(0.458319\pi\)
\(644\) −5.42263 + 1.45299i −0.213682 + 0.0572558i
\(645\) 41.9319 + 30.0906i 1.65107 + 1.18482i
\(646\) 6.76943 0.266340
\(647\) 13.6611 23.6617i 0.537073 0.930237i −0.461987 0.886887i \(-0.652863\pi\)
0.999060 0.0433505i \(-0.0138032\pi\)
\(648\) −16.8799 + 21.8764i −0.663104 + 0.859388i
\(649\) 4.69525i 0.184305i
\(650\) −9.92080 + 55.4353i −0.389126 + 2.17435i
\(651\) 2.59974 0.427427i 0.101892 0.0167522i
\(652\) −7.64270 7.64270i −0.299311 0.299311i
\(653\) 25.5764i 1.00088i 0.865770 + 0.500442i \(0.166829\pi\)
−0.865770 + 0.500442i \(0.833171\pi\)
\(654\) −14.4645 + 2.37813i −0.565607 + 0.0929922i
\(655\) −76.6157 + 20.5291i −2.99363 + 0.802139i
\(656\) 5.68670 + 1.52375i 0.222028 + 0.0594923i
\(657\) 22.1733 1.42343i 0.865062 0.0555333i
\(658\) −7.49852 + 7.49852i −0.292323 + 0.292323i
\(659\) 20.9446i 0.815887i 0.913007 + 0.407944i \(0.133754\pi\)
−0.913007 + 0.407944i \(0.866246\pi\)
\(660\) −1.60719 9.77542i −0.0625598 0.380508i
\(661\) 27.4529 27.4529i 1.06779 1.06779i 0.0702650 0.997528i \(-0.477616\pi\)
0.997528 0.0702650i \(-0.0223845\pi\)
\(662\) 5.52499 + 9.56956i 0.214735 + 0.371931i
\(663\) 6.27104 + 6.45086i 0.243547 + 0.250531i
\(664\) −6.30903 + 10.9276i −0.244838 + 0.424071i
\(665\) −4.82468 18.0059i −0.187093 0.698241i
\(666\) 16.5274 18.7949i 0.640424 0.728289i
\(667\) −3.46487 + 2.00045i −0.134160 + 0.0774576i
\(668\) −3.91032 14.5935i −0.151295 0.564640i
\(669\) 16.3714 + 11.7482i 0.632953 + 0.454211i
\(670\) 2.04735 + 7.64083i 0.0790962 + 0.295191i
\(671\) −3.68474 + 13.7516i −0.142248 + 0.530876i
\(672\) −5.53306 + 4.53465i −0.213442 + 0.174928i
\(673\) −19.0064 + 10.9733i −0.732641 + 0.422991i −0.819388 0.573240i \(-0.805686\pi\)
0.0867464 + 0.996230i \(0.472353\pi\)
\(674\) −27.6493 + 7.40861i −1.06501 + 0.285369i
\(675\) −73.5167 2.55485i −2.82966 0.0983364i
\(676\) 7.82816 6.50075i 0.301083 0.250029i
\(677\) −6.12331 3.53529i −0.235338 0.135872i 0.377694 0.925930i \(-0.376717\pi\)
−0.613032 + 0.790058i \(0.710050\pi\)
\(678\) −5.62090 + 2.54225i −0.215869 + 0.0976345i
\(679\) −12.1718 −0.467109
\(680\) 9.67931 16.7651i 0.371185 0.642911i
\(681\) 12.4727 + 27.5770i 0.477954 + 1.05675i
\(682\) 1.98123 + 1.98123i 0.0758651 + 0.0758651i
\(683\) −0.800438 + 2.98728i −0.0306279 + 0.114305i −0.979547 0.201213i \(-0.935512\pi\)
0.948920 + 0.315518i \(0.102178\pi\)
\(684\) 9.98043 0.640701i 0.381611 0.0244978i
\(685\) 37.9492 + 65.7300i 1.44997 + 2.51141i
\(686\) 0.551650 + 0.955487i 0.0210621 + 0.0364806i
\(687\) 4.35233 6.06507i 0.166052 0.231397i
\(688\) 10.7417 6.20173i 0.409524 0.236439i
\(689\) −40.1375 + 27.9521i −1.52912 + 1.06489i
\(690\) −46.3977 + 38.0256i −1.76633 + 1.44761i
\(691\) −2.30815 + 8.61414i −0.0878062 + 0.327697i −0.995831 0.0912196i \(-0.970923\pi\)
0.908025 + 0.418917i \(0.137590\pi\)
\(692\) 1.24219 + 0.717177i 0.0472209 + 0.0272630i
\(693\) 0.983719 4.91103i 0.0373684 0.186555i
\(694\) 12.8251 + 12.8251i 0.486833 + 0.486833i
\(695\) −18.6024 + 18.6024i −0.705628 + 0.705628i
\(696\) −1.72946 + 2.41005i −0.0655552 + 0.0913526i
\(697\) 4.49664 + 1.20487i 0.170322 + 0.0456377i
\(698\) 32.1641 + 18.5699i 1.21743 + 0.702882i
\(699\) 11.6177 30.8049i 0.439423 1.16515i
\(700\) −10.7034 2.86796i −0.404549 0.108399i
\(701\) 52.4503 1.98102 0.990510 0.137442i \(-0.0438879\pi\)
0.990510 + 0.137442i \(0.0438879\pi\)
\(702\) −15.3280 13.8678i −0.578518 0.523405i
\(703\) −32.2049 −1.21463
\(704\) −13.2248 3.54358i −0.498429 0.133554i
\(705\) 25.7125 68.1775i 0.968387 2.56771i
\(706\) 19.4065 + 11.2044i 0.730375 + 0.421682i
\(707\) 3.15956 + 0.846603i 0.118828 + 0.0318398i
\(708\) −2.22291 + 3.09767i −0.0835420 + 0.116418i
\(709\) −2.17472 + 2.17472i −0.0816733 + 0.0816733i −0.746763 0.665090i \(-0.768393\pi\)
0.665090 + 0.746763i \(0.268393\pi\)
\(710\) 46.8689 + 46.8689i 1.75896 + 1.75896i
\(711\) 13.6741 4.62127i 0.512818 0.173311i
\(712\) −12.6164 7.28407i −0.472819 0.272982i
\(713\) −2.82367 + 10.5381i −0.105747 + 0.394654i
\(714\) 2.12925 1.74504i 0.0796852 0.0653066i
\(715\) 26.2523 2.22922i 0.981781 0.0833683i
\(716\) 4.87292 2.81338i 0.182109 0.105141i
\(717\) −7.35786 + 10.2533i −0.274784 + 0.382918i
\(718\) −10.9437 18.9550i −0.408415 0.707395i
\(719\) −8.32833 14.4251i −0.310594 0.537965i 0.667897 0.744254i \(-0.267195\pi\)
−0.978491 + 0.206289i \(0.933861\pi\)
\(720\) −10.6094 + 21.4411i −0.395388 + 0.799062i
\(721\) −2.74193 + 10.2330i −0.102115 + 0.381098i
\(722\) −0.671472 0.671472i −0.0249896 0.0249896i
\(723\) 4.50444 + 9.95928i 0.167522 + 0.370390i
\(724\) −8.63208 + 14.9512i −0.320809 + 0.555657i
\(725\) −7.89708 −0.293290
\(726\) −14.2996 + 6.46751i −0.530709 + 0.240032i
\(727\) −3.09298 1.78573i −0.114712 0.0662292i 0.441546 0.897239i \(-0.354430\pi\)
−0.556258 + 0.831009i \(0.687764\pi\)
\(728\) −6.32614 9.08396i −0.234462 0.336674i
\(729\) 15.0907 22.3891i 0.558913 0.829226i
\(730\) 34.5463 9.25665i 1.27861 0.342604i
\(731\) 8.49378 4.90389i 0.314154 0.181377i
\(732\) −8.94153 + 7.32809i −0.330488 + 0.270854i
\(733\) 7.29113 27.2109i 0.269304 1.00506i −0.690259 0.723562i \(-0.742503\pi\)
0.959563 0.281494i \(-0.0908300\pi\)
\(734\) 3.25116 + 12.1335i 0.120003 + 0.447856i
\(735\) −6.15917 4.41986i −0.227184 0.163029i
\(736\) −7.66712 28.6141i −0.282614 1.05473i
\(737\) 2.36846 1.36743i 0.0872432 0.0503699i
\(738\) −10.4874 2.10071i −0.386047 0.0773284i
\(739\) −11.8467 44.2127i −0.435790 1.62639i −0.739170 0.673519i \(-0.764782\pi\)
0.303380 0.952870i \(-0.401885\pi\)
\(740\) −12.9525 + 22.4344i −0.476145 + 0.824707i
\(741\) −0.375909 + 26.5950i −0.0138094 + 0.976990i
\(742\) 7.48348 + 12.9618i 0.274727 + 0.475841i
\(743\) 6.81776 6.81776i 0.250119 0.250119i −0.570900 0.821019i \(-0.693406\pi\)
0.821019 + 0.570900i \(0.193406\pi\)
\(744\) 1.31228 + 7.98168i 0.0481105 + 0.292623i
\(745\) 97.9158i 3.58736i
\(746\) 26.0464 26.0464i 0.953625 0.953625i
\(747\) 5.46808 11.0508i 0.200067 0.404326i
\(748\) −1.81843 0.487247i −0.0664884 0.0178155i
\(749\) −4.27507 + 1.14550i −0.156208 + 0.0418557i
\(750\) −75.5736 + 12.4252i −2.75956 + 0.453703i
\(751\) 5.89798i 0.215220i −0.994193 0.107610i \(-0.965680\pi\)
0.994193 0.107610i \(-0.0343198\pi\)
\(752\) −12.3823 12.3823i −0.451537 0.451537i
\(753\) 8.99268 1.47850i 0.327711 0.0538795i
\(754\) −1.69624 1.43071i −0.0617734 0.0521035i
\(755\) 2.86525i 0.104277i
\(756\) 2.97407 2.77431i 0.108166 0.100900i
\(757\) 12.8455 22.2490i 0.466877 0.808655i −0.532407 0.846489i \(-0.678712\pi\)
0.999284 + 0.0378334i \(0.0120456\pi\)
\(758\) −34.2376 −1.24356
\(759\) 16.8504 + 12.0920i 0.611631 + 0.438910i
\(760\) 55.2816 14.8127i 2.00527 0.537312i
\(761\) −49.8318 + 13.3524i −1.80640 + 0.484024i −0.994948 0.100393i \(-0.967990\pi\)
−0.811454 + 0.584417i \(0.801323\pi\)
\(762\) 5.66769 2.56341i 0.205319 0.0928627i
\(763\) 7.67080 0.277702
\(764\) 7.51377 13.0142i 0.271839 0.470838i
\(765\) −8.38913 + 16.9541i −0.303310 + 0.612976i
\(766\) 21.1270i 0.763349i
\(767\) −7.75099 6.53766i −0.279872 0.236061i
\(768\) −17.0535 20.8082i −0.615366 0.750853i
\(769\) −27.5801 27.5801i −0.994563 0.994563i 0.00542201 0.999985i \(-0.498274\pi\)
−0.999985 + 0.00542201i \(0.998274\pi\)
\(770\) 8.06213i 0.290539i
\(771\) 7.95547 21.0942i 0.286509 0.759690i
\(772\) 7.31391 1.95976i 0.263233 0.0705331i
\(773\) 0.604349 + 0.161935i 0.0217369 + 0.00582439i 0.269671 0.962952i \(-0.413085\pi\)
−0.247934 + 0.968777i \(0.579752\pi\)
\(774\) −18.7531 + 12.4940i