Properties

Label 260.2.o.a.183.2
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.2
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41202 + 0.0788259i) q^{2} +(-1.63309 + 1.63309i) q^{3} +(1.98757 - 0.222607i) q^{4} +(-0.963620 - 2.01778i) q^{5} +(2.17721 - 2.43467i) q^{6} +(3.04756 + 3.04756i) q^{7} +(-2.78894 + 0.470996i) q^{8} -2.33394i q^{9} +O(q^{10})\) \(q+(-1.41202 + 0.0788259i) q^{2} +(-1.63309 + 1.63309i) q^{3} +(1.98757 - 0.222607i) q^{4} +(-0.963620 - 2.01778i) q^{5} +(2.17721 - 2.43467i) q^{6} +(3.04756 + 3.04756i) q^{7} +(-2.78894 + 0.470996i) q^{8} -2.33394i q^{9} +(1.51970 + 2.77318i) q^{10} +0.497041i q^{11} +(-2.88234 + 3.60941i) q^{12} +(0.707107 + 0.707107i) q^{13} +(-4.54342 - 4.06297i) q^{14} +(4.86888 + 1.72154i) q^{15} +(3.90089 - 0.884894i) q^{16} +(-2.41342 + 2.41342i) q^{17} +(0.183975 + 3.29556i) q^{18} -5.62862 q^{19} +(-2.36444 - 3.79598i) q^{20} -9.95385 q^{21} +(-0.0391797 - 0.701829i) q^{22} +(-4.41675 + 4.41675i) q^{23} +(3.78540 - 5.32375i) q^{24} +(-3.14287 + 3.88875i) q^{25} +(-1.05418 - 0.942707i) q^{26} +(-1.08773 - 1.08773i) q^{27} +(6.73565 + 5.37884i) q^{28} +5.13981i q^{29} +(-7.01064 - 2.04704i) q^{30} +3.14912i q^{31} +(-5.43837 + 1.55698i) q^{32} +(-0.811710 - 0.811710i) q^{33} +(3.21754 - 3.59802i) q^{34} +(3.21261 - 9.08599i) q^{35} +(-0.519552 - 4.63888i) q^{36} +(4.40088 - 4.40088i) q^{37} +(7.94770 - 0.443681i) q^{38} -2.30953 q^{39} +(3.63784 + 5.17360i) q^{40} +8.49850 q^{41} +(14.0550 - 0.784621i) q^{42} +(-5.16698 + 5.16698i) q^{43} +(0.110645 + 0.987905i) q^{44} +(-4.70939 + 2.24903i) q^{45} +(5.88836 - 6.58467i) q^{46} +(0.110788 + 0.110788i) q^{47} +(-4.92539 + 7.81560i) q^{48} +11.5752i q^{49} +(4.13125 - 5.73871i) q^{50} -7.88265i q^{51} +(1.56283 + 1.24802i) q^{52} +(0.203180 + 0.203180i) q^{53} +(1.62163 + 1.45015i) q^{54} +(1.00292 - 0.478958i) q^{55} +(-9.93483 - 7.06405i) q^{56} +(9.19203 - 9.19203i) q^{57} +(-0.405150 - 7.25749i) q^{58} +7.36019 q^{59} +(10.0605 + 2.33783i) q^{60} -6.43106 q^{61} +(-0.248232 - 4.44661i) q^{62} +(7.11283 - 7.11283i) q^{63} +(7.55632 - 2.62716i) q^{64} +(0.745404 - 2.10817i) q^{65} +(1.21013 + 1.08216i) q^{66} +(7.40905 + 7.40905i) q^{67} +(-4.25960 + 5.33409i) q^{68} -14.4259i q^{69} +(-3.82005 + 13.0828i) q^{70} -0.618858i q^{71} +(1.09928 + 6.50922i) q^{72} +(-11.5363 - 11.5363i) q^{73} +(-5.86720 + 6.56101i) q^{74} +(-1.21807 - 11.4832i) q^{75} +(-11.1873 + 1.25297i) q^{76} +(-1.51476 + 1.51476i) q^{77} +(3.26110 - 0.182051i) q^{78} +2.69514 q^{79} +(-5.54450 - 7.01844i) q^{80} +10.5545 q^{81} +(-12.0000 + 0.669902i) q^{82} +(5.93375 - 5.93375i) q^{83} +(-19.7840 + 2.21579i) q^{84} +(7.19537 + 2.54413i) q^{85} +(6.88856 - 7.70314i) q^{86} +(-8.39376 - 8.39376i) q^{87} +(-0.234104 - 1.38621i) q^{88} +12.7437i q^{89} +(6.47244 - 3.54689i) q^{90} +4.30990i q^{91} +(-7.79541 + 9.76181i) q^{92} +(-5.14279 - 5.14279i) q^{93} +(-0.165168 - 0.147702i) q^{94} +(5.42385 + 11.3573i) q^{95} +(6.33865 - 11.4240i) q^{96} +(8.15212 - 8.15212i) q^{97} +(-0.912426 - 16.3444i) q^{98} +1.16007 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41202 + 0.0788259i −0.998445 + 0.0557383i
\(3\) −1.63309 + 1.63309i −0.942863 + 0.942863i −0.998454 0.0555906i \(-0.982296\pi\)
0.0555906 + 0.998454i \(0.482296\pi\)
\(4\) 1.98757 0.222607i 0.993786 0.111303i
\(5\) −0.963620 2.01778i −0.430944 0.902379i
\(6\) 2.17721 2.43467i 0.888844 0.993951i
\(7\) 3.04756 + 3.04756i 1.15187 + 1.15187i 0.986178 + 0.165690i \(0.0529853\pi\)
0.165690 + 0.986178i \(0.447015\pi\)
\(8\) −2.78894 + 0.470996i −0.986038 + 0.166522i
\(9\) 2.33394i 0.777981i
\(10\) 1.51970 + 2.77318i 0.480571 + 0.876956i
\(11\) 0.497041i 0.149863i 0.997189 + 0.0749317i \(0.0238739\pi\)
−0.997189 + 0.0749317i \(0.976126\pi\)
\(12\) −2.88234 + 3.60941i −0.832061 + 1.04195i
\(13\) 0.707107 + 0.707107i 0.196116 + 0.196116i
\(14\) −4.54342 4.06297i −1.21428 1.08587i
\(15\) 4.86888 + 1.72154i 1.25714 + 0.444499i
\(16\) 3.90089 0.884894i 0.975223 0.221224i
\(17\) −2.41342 + 2.41342i −0.585340 + 0.585340i −0.936366 0.351026i \(-0.885833\pi\)
0.351026 + 0.936366i \(0.385833\pi\)
\(18\) 0.183975 + 3.29556i 0.0433634 + 0.776772i
\(19\) −5.62862 −1.29129 −0.645647 0.763636i \(-0.723412\pi\)
−0.645647 + 0.763636i \(0.723412\pi\)
\(20\) −2.36444 3.79598i −0.528704 0.848806i
\(21\) −9.95385 −2.17211
\(22\) −0.0391797 0.701829i −0.00835314 0.149630i
\(23\) −4.41675 + 4.41675i −0.920956 + 0.920956i −0.997097 0.0761410i \(-0.975740\pi\)
0.0761410 + 0.997097i \(0.475740\pi\)
\(24\) 3.78540 5.32375i 0.772691 1.08671i
\(25\) −3.14287 + 3.88875i −0.628575 + 0.777749i
\(26\) −1.05418 0.942707i −0.206742 0.184880i
\(27\) −1.08773 1.08773i −0.209333 0.209333i
\(28\) 6.73565 + 5.37884i 1.27292 + 1.01650i
\(29\) 5.13981i 0.954439i 0.878784 + 0.477220i \(0.158355\pi\)
−0.878784 + 0.477220i \(0.841645\pi\)
\(30\) −7.01064 2.04704i −1.27996 0.373737i
\(31\) 3.14912i 0.565599i 0.959179 + 0.282800i \(0.0912631\pi\)
−0.959179 + 0.282800i \(0.908737\pi\)
\(32\) −5.43837 + 1.55698i −0.961376 + 0.275237i
\(33\) −0.811710 0.811710i −0.141301 0.141301i
\(34\) 3.21754 3.59802i 0.551804 0.617056i
\(35\) 3.21261 9.08599i 0.543031 1.53581i
\(36\) −0.519552 4.63888i −0.0865919 0.773147i
\(37\) 4.40088 4.40088i 0.723500 0.723500i −0.245817 0.969316i \(-0.579056\pi\)
0.969316 + 0.245817i \(0.0790561\pi\)
\(38\) 7.94770 0.443681i 1.28929 0.0719746i
\(39\) −2.30953 −0.369821
\(40\) 3.63784 + 5.17360i 0.575193 + 0.818018i
\(41\) 8.49850 1.32724 0.663621 0.748069i \(-0.269019\pi\)
0.663621 + 0.748069i \(0.269019\pi\)
\(42\) 14.0550 0.784621i 2.16873 0.121070i
\(43\) −5.16698 + 5.16698i −0.787957 + 0.787957i −0.981159 0.193202i \(-0.938113\pi\)
0.193202 + 0.981159i \(0.438113\pi\)
\(44\) 0.110645 + 0.987905i 0.0166803 + 0.148932i
\(45\) −4.70939 + 2.24903i −0.702034 + 0.335266i
\(46\) 5.88836 6.58467i 0.868192 0.970857i
\(47\) 0.110788 + 0.110788i 0.0161601 + 0.0161601i 0.715141 0.698981i \(-0.246363\pi\)
−0.698981 + 0.715141i \(0.746363\pi\)
\(48\) −4.92539 + 7.81560i −0.710918 + 1.12809i
\(49\) 11.5752i 1.65360i
\(50\) 4.13125 5.73871i 0.584247 0.811576i
\(51\) 7.88265i 1.10379i
\(52\) 1.56283 + 1.24802i 0.216726 + 0.173069i
\(53\) 0.203180 + 0.203180i 0.0279090 + 0.0279090i 0.720924 0.693015i \(-0.243718\pi\)
−0.693015 + 0.720924i \(0.743718\pi\)
\(54\) 1.62163 + 1.45015i 0.220676 + 0.197340i
\(55\) 1.00292 0.478958i 0.135234 0.0645827i
\(56\) −9.93483 7.06405i −1.32760 0.943974i
\(57\) 9.19203 9.19203i 1.21751 1.21751i
\(58\) −0.405150 7.25749i −0.0531988 0.952955i
\(59\) 7.36019 0.958216 0.479108 0.877756i \(-0.340960\pi\)
0.479108 + 0.877756i \(0.340960\pi\)
\(60\) 10.0605 + 2.33783i 1.29880 + 0.301813i
\(61\) −6.43106 −0.823413 −0.411707 0.911316i \(-0.635067\pi\)
−0.411707 + 0.911316i \(0.635067\pi\)
\(62\) −0.248232 4.44661i −0.0315256 0.564720i
\(63\) 7.11283 7.11283i 0.896132 0.896132i
\(64\) 7.55632 2.62716i 0.944541 0.328395i
\(65\) 0.745404 2.10817i 0.0924560 0.261486i
\(66\) 1.21013 + 1.08216i 0.148957 + 0.133205i
\(67\) 7.40905 + 7.40905i 0.905159 + 0.905159i 0.995877 0.0907174i \(-0.0289160\pi\)
−0.0907174 + 0.995877i \(0.528916\pi\)
\(68\) −4.25960 + 5.33409i −0.516553 + 0.646853i
\(69\) 14.4259i 1.73667i
\(70\) −3.82005 + 13.0828i −0.456583 + 1.56369i
\(71\) 0.618858i 0.0734449i −0.999326 0.0367225i \(-0.988308\pi\)
0.999326 0.0367225i \(-0.0116917\pi\)
\(72\) 1.09928 + 6.50922i 0.129551 + 0.767119i
\(73\) −11.5363 11.5363i −1.35023 1.35023i −0.885405 0.464820i \(-0.846119\pi\)
−0.464820 0.885405i \(-0.653881\pi\)
\(74\) −5.86720 + 6.56101i −0.682048 + 0.762701i
\(75\) −1.21807 11.4832i −0.140651 1.32597i
\(76\) −11.1873 + 1.25297i −1.28327 + 0.143725i
\(77\) −1.51476 + 1.51476i −0.172623 + 0.172623i
\(78\) 3.26110 0.182051i 0.369246 0.0206132i
\(79\) 2.69514 0.303227 0.151613 0.988440i \(-0.451553\pi\)
0.151613 + 0.988440i \(0.451553\pi\)
\(80\) −5.54450 7.01844i −0.619894 0.784686i
\(81\) 10.5545 1.17273
\(82\) −12.0000 + 0.669902i −1.32518 + 0.0739783i
\(83\) 5.93375 5.93375i 0.651314 0.651314i −0.301995 0.953309i \(-0.597653\pi\)
0.953309 + 0.301995i \(0.0976527\pi\)
\(84\) −19.7840 + 2.21579i −2.15861 + 0.241763i
\(85\) 7.19537 + 2.54413i 0.780447 + 0.275950i
\(86\) 6.88856 7.70314i 0.742812 0.830651i
\(87\) −8.39376 8.39376i −0.899905 0.899905i
\(88\) −0.234104 1.38621i −0.0249556 0.147771i
\(89\) 12.7437i 1.35083i 0.737440 + 0.675413i \(0.236035\pi\)
−0.737440 + 0.675413i \(0.763965\pi\)
\(90\) 6.47244 3.54689i 0.682255 0.373875i
\(91\) 4.30990i 0.451800i
\(92\) −7.79541 + 9.76181i −0.812728 + 1.01774i
\(93\) −5.14279 5.14279i −0.533282 0.533282i
\(94\) −0.165168 0.147702i −0.0170357 0.0152343i
\(95\) 5.42385 + 11.3573i 0.556476 + 1.16524i
\(96\) 6.33865 11.4240i 0.646936 1.16596i
\(97\) 8.15212 8.15212i 0.827723 0.827723i −0.159479 0.987201i \(-0.550981\pi\)
0.987201 + 0.159479i \(0.0509814\pi\)
\(98\) −0.912426 16.3444i −0.0921690 1.65103i
\(99\) 1.16007 0.116591
\(100\) −5.38103 + 8.42879i −0.538103 + 0.842879i
\(101\) −4.18013 −0.415938 −0.207969 0.978135i \(-0.566685\pi\)
−0.207969 + 0.978135i \(0.566685\pi\)
\(102\) 0.621357 + 11.1304i 0.0615235 + 1.10208i
\(103\) −3.46965 + 3.46965i −0.341875 + 0.341875i −0.857072 0.515197i \(-0.827719\pi\)
0.515197 + 0.857072i \(0.327719\pi\)
\(104\) −2.30512 1.63903i −0.226036 0.160720i
\(105\) 9.59172 + 20.0847i 0.936056 + 1.96006i
\(106\) −0.302910 0.270878i −0.0294212 0.0263100i
\(107\) −9.43408 9.43408i −0.912027 0.912027i 0.0844046 0.996432i \(-0.473101\pi\)
−0.996432 + 0.0844046i \(0.973101\pi\)
\(108\) −2.40407 1.91980i −0.231332 0.184733i
\(109\) 10.2008i 0.977061i 0.872547 + 0.488531i \(0.162467\pi\)
−0.872547 + 0.488531i \(0.837533\pi\)
\(110\) −1.37838 + 0.755352i −0.131424 + 0.0720200i
\(111\) 14.3740i 1.36432i
\(112\) 14.5850 + 9.19143i 1.37815 + 0.868508i
\(113\) 9.50714 + 9.50714i 0.894357 + 0.894357i 0.994930 0.100573i \(-0.0320676\pi\)
−0.100573 + 0.994930i \(0.532068\pi\)
\(114\) −12.2547 + 13.7039i −1.14776 + 1.28348i
\(115\) 13.1681 + 4.65596i 1.22793 + 0.434171i
\(116\) 1.14416 + 10.2158i 0.106232 + 0.948509i
\(117\) 1.65035 1.65035i 0.152575 0.152575i
\(118\) −10.3927 + 0.580174i −0.956726 + 0.0534093i
\(119\) −14.7101 −1.34847
\(120\) −14.3898 2.50803i −1.31361 0.228950i
\(121\) 10.7530 0.977541
\(122\) 9.08076 0.506934i 0.822133 0.0458957i
\(123\) −13.8788 + 13.8788i −1.25141 + 1.25141i
\(124\) 0.701016 + 6.25911i 0.0629531 + 0.562085i
\(125\) 10.8752 + 2.59436i 0.972705 + 0.232046i
\(126\) −9.48274 + 10.6041i −0.844790 + 0.944688i
\(127\) 0.0846773 + 0.0846773i 0.00751389 + 0.00751389i 0.710854 0.703340i \(-0.248309\pi\)
−0.703340 + 0.710854i \(0.748309\pi\)
\(128\) −10.4626 + 4.30522i −0.924768 + 0.380531i
\(129\) 16.8762i 1.48587i
\(130\) −0.886344 + 3.03552i −0.0777375 + 0.266233i
\(131\) 12.2879i 1.07360i −0.843709 0.536801i \(-0.819633\pi\)
0.843709 0.536801i \(-0.180367\pi\)
\(132\) −1.79403 1.43264i −0.156150 0.124695i
\(133\) −17.1536 17.1536i −1.48740 1.48740i
\(134\) −11.0457 9.87766i −0.954204 0.853300i
\(135\) −1.14664 + 3.24295i −0.0986870 + 0.279109i
\(136\) 5.59416 7.86758i 0.479695 0.674640i
\(137\) −2.43793 + 2.43793i −0.208286 + 0.208286i −0.803539 0.595253i \(-0.797052\pi\)
0.595253 + 0.803539i \(0.297052\pi\)
\(138\) 1.13713 + 20.3695i 0.0967991 + 1.73397i
\(139\) −2.17145 −0.184180 −0.0920899 0.995751i \(-0.529355\pi\)
−0.0920899 + 0.995751i \(0.529355\pi\)
\(140\) 4.36270 18.7742i 0.368716 1.58671i
\(141\) −0.361854 −0.0304736
\(142\) 0.0487820 + 0.873837i 0.00409370 + 0.0733307i
\(143\) −0.351461 + 0.351461i −0.0293906 + 0.0293906i
\(144\) −2.06529 9.10446i −0.172108 0.758705i
\(145\) 10.3710 4.95282i 0.861266 0.411310i
\(146\) 17.1988 + 15.3801i 1.42339 + 1.27287i
\(147\) −18.9033 18.9033i −1.55912 1.55912i
\(148\) 7.76740 9.72673i 0.638476 0.799532i
\(149\) 0.402191i 0.0329488i −0.999864 0.0164744i \(-0.994756\pi\)
0.999864 0.0164744i \(-0.00524420\pi\)
\(150\) 2.62511 + 16.1185i 0.214340 + 1.31607i
\(151\) 11.5532i 0.940189i −0.882616 0.470095i \(-0.844220\pi\)
0.882616 0.470095i \(-0.155780\pi\)
\(152\) 15.6979 2.65106i 1.27327 0.215029i
\(153\) 5.63279 + 5.63279i 0.455384 + 0.455384i
\(154\) 2.01946 2.25827i 0.162733 0.181976i
\(155\) 6.35424 3.03456i 0.510385 0.243741i
\(156\) −4.59037 + 0.514118i −0.367523 + 0.0411624i
\(157\) 10.9364 10.9364i 0.872818 0.872818i −0.119960 0.992779i \(-0.538277\pi\)
0.992779 + 0.119960i \(0.0382767\pi\)
\(158\) −3.80557 + 0.212447i −0.302755 + 0.0169013i
\(159\) −0.663622 −0.0526287
\(160\) 8.38215 + 9.47310i 0.662667 + 0.748914i
\(161\) −26.9206 −2.12164
\(162\) −14.9032 + 0.831971i −1.17090 + 0.0653658i
\(163\) 5.15794 5.15794i 0.404001 0.404001i −0.475639 0.879640i \(-0.657783\pi\)
0.879640 + 0.475639i \(0.157783\pi\)
\(164\) 16.8914 1.89182i 1.31900 0.147727i
\(165\) −0.855673 + 2.42003i −0.0666141 + 0.188399i
\(166\) −7.91081 + 8.84628i −0.613998 + 0.686605i
\(167\) −4.88399 4.88399i −0.377935 0.377935i 0.492422 0.870357i \(-0.336112\pi\)
−0.870357 + 0.492422i \(0.836112\pi\)
\(168\) 27.7606 4.68823i 2.14178 0.361705i
\(169\) 1.00000i 0.0769231i
\(170\) −10.3605 3.02517i −0.794615 0.232020i
\(171\) 13.1369i 1.00460i
\(172\) −9.11954 + 11.4200i −0.695359 + 0.870763i
\(173\) 11.3759 + 11.3759i 0.864896 + 0.864896i 0.991902 0.127006i \(-0.0405367\pi\)
−0.127006 + 0.991902i \(0.540537\pi\)
\(174\) 12.5138 + 11.1905i 0.948666 + 0.848347i
\(175\) −21.4293 + 2.27308i −1.61990 + 0.171829i
\(176\) 0.439828 + 1.93890i 0.0331533 + 0.146150i
\(177\) −12.0198 + 12.0198i −0.903466 + 0.903466i
\(178\) −1.00453 17.9942i −0.0752928 1.34873i
\(179\) 14.2199 1.06285 0.531423 0.847106i \(-0.321657\pi\)
0.531423 + 0.847106i \(0.321657\pi\)
\(180\) −8.85960 + 5.51846i −0.660355 + 0.411322i
\(181\) −10.4080 −0.773624 −0.386812 0.922159i \(-0.626424\pi\)
−0.386812 + 0.922159i \(0.626424\pi\)
\(182\) −0.339732 6.08564i −0.0251826 0.451098i
\(183\) 10.5025 10.5025i 0.776366 0.776366i
\(184\) 10.2378 14.3983i 0.754738 1.06146i
\(185\) −13.1208 4.63923i −0.964658 0.341083i
\(186\) 7.66708 + 6.85631i 0.562178 + 0.502729i
\(187\) −1.19957 1.19957i −0.0877211 0.0877211i
\(188\) 0.244862 + 0.195538i 0.0178584 + 0.0142610i
\(189\) 6.62982i 0.482249i
\(190\) −8.55381 15.6092i −0.620559 1.13241i
\(191\) 7.07244i 0.511744i −0.966711 0.255872i \(-0.917637\pi\)
0.966711 0.255872i \(-0.0823626\pi\)
\(192\) −8.04976 + 16.6305i −0.580941 + 1.20020i
\(193\) 15.3297 + 15.3297i 1.10345 + 1.10345i 0.993991 + 0.109464i \(0.0349134\pi\)
0.109464 + 0.993991i \(0.465087\pi\)
\(194\) −10.8683 + 12.1535i −0.780300 + 0.872572i
\(195\) 2.22551 + 4.66013i 0.159372 + 0.333719i
\(196\) 2.57672 + 23.0066i 0.184051 + 1.64333i
\(197\) −3.85661 + 3.85661i −0.274772 + 0.274772i −0.831018 0.556246i \(-0.812241\pi\)
0.556246 + 0.831018i \(0.312241\pi\)
\(198\) −1.63803 + 0.0914432i −0.116410 + 0.00649858i
\(199\) −3.17819 −0.225296 −0.112648 0.993635i \(-0.535933\pi\)
−0.112648 + 0.993635i \(0.535933\pi\)
\(200\) 6.93369 12.3257i 0.490286 0.871562i
\(201\) −24.1992 −1.70688
\(202\) 5.90240 0.329502i 0.415292 0.0231837i
\(203\) −15.6639 + 15.6639i −1.09939 + 1.09939i
\(204\) −1.75473 15.6673i −0.122856 1.09693i
\(205\) −8.18932 17.1481i −0.571967 1.19768i
\(206\) 4.62570 5.17269i 0.322288 0.360399i
\(207\) 10.3084 + 10.3084i 0.716487 + 0.716487i
\(208\) 3.38406 + 2.13263i 0.234642 + 0.147871i
\(209\) 2.79766i 0.193518i
\(210\) −15.1269 27.6038i −1.04385 1.90484i
\(211\) 10.6465i 0.732937i 0.930430 + 0.366469i \(0.119433\pi\)
−0.930430 + 0.366469i \(0.880567\pi\)
\(212\) 0.449065 + 0.358606i 0.0308419 + 0.0246292i
\(213\) 1.01065 + 1.01065i 0.0692485 + 0.0692485i
\(214\) 14.0647 + 12.5774i 0.961444 + 0.859774i
\(215\) 15.4048 + 5.44683i 1.05060 + 0.371470i
\(216\) 3.54592 + 2.52129i 0.241269 + 0.171552i
\(217\) −9.59713 + 9.59713i −0.651496 + 0.651496i
\(218\) −0.804089 14.4037i −0.0544598 0.975542i
\(219\) 37.6796 2.54615
\(220\) 1.88676 1.17522i 0.127205 0.0792334i
\(221\) −3.41309 −0.229589
\(222\) −1.13305 20.2963i −0.0760450 1.36220i
\(223\) 13.3536 13.3536i 0.894220 0.894220i −0.100697 0.994917i \(-0.532107\pi\)
0.994917 + 0.100697i \(0.0321072\pi\)
\(224\) −21.3187 11.8288i −1.42442 0.790342i
\(225\) 9.07611 + 7.33529i 0.605074 + 0.489020i
\(226\) −14.1736 12.6748i −0.942816 0.843116i
\(227\) 5.71415 + 5.71415i 0.379262 + 0.379262i 0.870836 0.491574i \(-0.163578\pi\)
−0.491574 + 0.870836i \(0.663578\pi\)
\(228\) 16.2236 20.3160i 1.07444 1.34546i
\(229\) 12.9982i 0.858948i −0.903079 0.429474i \(-0.858699\pi\)
0.903079 0.429474i \(-0.141301\pi\)
\(230\) −18.9606 5.53630i −1.25022 0.365053i
\(231\) 4.94747i 0.325519i
\(232\) −2.42083 14.3346i −0.158935 0.941113i
\(233\) 0.881833 + 0.881833i 0.0577708 + 0.0577708i 0.735402 0.677631i \(-0.236993\pi\)
−0.677631 + 0.735402i \(0.736993\pi\)
\(234\) −2.20023 + 2.46041i −0.143833 + 0.160842i
\(235\) 0.116789 0.330304i 0.00761845 0.0215467i
\(236\) 14.6289 1.63843i 0.952262 0.106653i
\(237\) −4.40139 + 4.40139i −0.285901 + 0.285901i
\(238\) 20.7708 1.15953i 1.34637 0.0751614i
\(239\) −6.13684 −0.396960 −0.198480 0.980105i \(-0.563600\pi\)
−0.198480 + 0.980105i \(0.563600\pi\)
\(240\) 20.5164 + 2.40708i 1.32433 + 0.155376i
\(241\) 23.7790 1.53174 0.765869 0.642997i \(-0.222309\pi\)
0.765869 + 0.642997i \(0.222309\pi\)
\(242\) −15.1833 + 0.847611i −0.976021 + 0.0544865i
\(243\) −13.9733 + 13.9733i −0.896387 + 0.896387i
\(244\) −12.7822 + 1.43160i −0.818297 + 0.0916487i
\(245\) 23.3562 11.1541i 1.49217 0.712609i
\(246\) 18.5030 20.6911i 1.17971 1.31921i
\(247\) −3.98004 3.98004i −0.253244 0.253244i
\(248\) −1.48323 8.78270i −0.0941849 0.557702i
\(249\) 19.3807i 1.22820i
\(250\) −15.5604 2.80603i −0.984126 0.177469i
\(251\) 21.3919i 1.35025i 0.737705 + 0.675124i \(0.235910\pi\)
−0.737705 + 0.675124i \(0.764090\pi\)
\(252\) 12.5539 15.7206i 0.790821 0.990306i
\(253\) −2.19530 2.19530i −0.138018 0.138018i
\(254\) −0.126240 0.112891i −0.00792103 0.00708340i
\(255\) −15.9054 + 7.59587i −0.996038 + 0.475672i
\(256\) 14.4339 6.90375i 0.902120 0.431485i
\(257\) 11.7799 11.7799i 0.734811 0.734811i −0.236758 0.971569i \(-0.576085\pi\)
0.971569 + 0.236758i \(0.0760847\pi\)
\(258\) 1.33029 + 23.8295i 0.0828200 + 1.48356i
\(259\) 26.8238 1.66675
\(260\) 1.01225 4.35607i 0.0627772 0.270152i
\(261\) 11.9960 0.742536
\(262\) 0.968608 + 17.3508i 0.0598408 + 1.07193i
\(263\) 11.1802 11.1802i 0.689398 0.689398i −0.272701 0.962099i \(-0.587917\pi\)
0.962099 + 0.272701i \(0.0879169\pi\)
\(264\) 2.64612 + 1.88150i 0.162857 + 0.115798i
\(265\) 0.214185 0.605762i 0.0131573 0.0372117i
\(266\) 25.5732 + 22.8689i 1.56799 + 1.40218i
\(267\) −20.8115 20.8115i −1.27364 1.27364i
\(268\) 16.3753 + 13.0767i 1.00028 + 0.798788i
\(269\) 1.87020i 0.114028i 0.998373 + 0.0570141i \(0.0181580\pi\)
−0.998373 + 0.0570141i \(0.981842\pi\)
\(270\) 1.36344 4.66948i 0.0829765 0.284175i
\(271\) 23.6707i 1.43789i −0.695066 0.718946i \(-0.744625\pi\)
0.695066 0.718946i \(-0.255375\pi\)
\(272\) −7.27887 + 11.5501i −0.441346 + 0.700328i
\(273\) −7.03843 7.03843i −0.425985 0.425985i
\(274\) 3.25022 3.63456i 0.196353 0.219572i
\(275\) −1.93286 1.56214i −0.116556 0.0942004i
\(276\) −3.21130 28.6725i −0.193297 1.72588i
\(277\) −11.2334 + 11.2334i −0.674949 + 0.674949i −0.958853 0.283903i \(-0.908370\pi\)
0.283903 + 0.958853i \(0.408370\pi\)
\(278\) 3.06612 0.171166i 0.183893 0.0102659i
\(279\) 7.34988 0.440026
\(280\) −4.68031 + 26.8534i −0.279702 + 1.60480i
\(281\) 5.48143 0.326995 0.163497 0.986544i \(-0.447723\pi\)
0.163497 + 0.986544i \(0.447723\pi\)
\(282\) 0.510943 0.0285234i 0.0304262 0.00169855i
\(283\) −7.89795 + 7.89795i −0.469484 + 0.469484i −0.901747 0.432263i \(-0.857715\pi\)
0.432263 + 0.901747i \(0.357715\pi\)
\(284\) −0.137762 1.23003i −0.00817467 0.0729886i
\(285\) −27.4051 9.68988i −1.62334 0.573979i
\(286\) 0.468564 0.523972i 0.0277068 0.0309831i
\(287\) 25.8997 + 25.8997i 1.52881 + 1.52881i
\(288\) 3.63389 + 12.6928i 0.214129 + 0.747933i
\(289\) 5.35082i 0.314754i
\(290\) −14.2536 + 7.81097i −0.837001 + 0.458676i
\(291\) 26.6262i 1.56086i
\(292\) −25.4974 20.3612i −1.49212 1.19155i
\(293\) −12.2389 12.2389i −0.715005 0.715005i 0.252573 0.967578i \(-0.418723\pi\)
−0.967578 + 0.252573i \(0.918723\pi\)
\(294\) 28.1818 + 25.2017i 1.64360 + 1.46979i
\(295\) −7.09243 14.8513i −0.412937 0.864673i
\(296\) −10.2010 + 14.3466i −0.592919 + 0.833877i
\(297\) 0.540645 0.540645i 0.0313714 0.0313714i
\(298\) 0.0317031 + 0.567900i 0.00183651 + 0.0328976i
\(299\) −6.24623 −0.361229
\(300\) −4.97725 22.5526i −0.287362 1.30208i
\(301\) −31.4933 −1.81524
\(302\) 0.910695 + 16.3133i 0.0524046 + 0.938728i
\(303\) 6.82651 6.82651i 0.392173 0.392173i
\(304\) −21.9567 + 4.98074i −1.25930 + 0.285665i
\(305\) 6.19710 + 12.9765i 0.354845 + 0.743031i
\(306\) −8.39759 7.50957i −0.480058 0.429293i
\(307\) 4.60280 + 4.60280i 0.262696 + 0.262696i 0.826148 0.563453i \(-0.190527\pi\)
−0.563453 + 0.826148i \(0.690527\pi\)
\(308\) −2.67350 + 3.34789i −0.152337 + 0.190764i
\(309\) 11.3325i 0.644682i
\(310\) −8.73308 + 4.78572i −0.496005 + 0.271810i
\(311\) 32.5052i 1.84320i 0.388141 + 0.921600i \(0.373118\pi\)
−0.388141 + 0.921600i \(0.626882\pi\)
\(312\) 6.44114 1.08778i 0.364658 0.0615835i
\(313\) −19.2039 19.2039i −1.08547 1.08547i −0.995989 0.0894769i \(-0.971480\pi\)
−0.0894769 0.995989i \(-0.528520\pi\)
\(314\) −14.5803 + 16.3044i −0.822812 + 0.920111i
\(315\) −21.2062 7.49806i −1.19483 0.422468i
\(316\) 5.35678 0.599956i 0.301342 0.0337501i
\(317\) −8.28473 + 8.28473i −0.465317 + 0.465317i −0.900393 0.435077i \(-0.856721\pi\)
0.435077 + 0.900393i \(0.356721\pi\)
\(318\) 0.937045 0.0523106i 0.0525469 0.00293343i
\(319\) −2.55470 −0.143035
\(320\) −12.5824 12.7154i −0.703380 0.710814i
\(321\) 30.8133 1.71983
\(322\) 38.0123 2.12204i 2.11834 0.118257i
\(323\) 13.5842 13.5842i 0.755847 0.755847i
\(324\) 20.9779 2.34951i 1.16544 0.130528i
\(325\) −4.97211 + 0.527410i −0.275803 + 0.0292555i
\(326\) −6.87651 + 7.68967i −0.380855 + 0.425891i
\(327\) −16.6588 16.6588i −0.921235 0.921235i
\(328\) −23.7018 + 4.00276i −1.30871 + 0.221015i
\(329\) 0.675267i 0.0372287i
\(330\) 1.01746 3.48457i 0.0560094 0.191819i
\(331\) 2.91495i 0.160220i 0.996786 + 0.0801102i \(0.0255272\pi\)
−0.996786 + 0.0801102i \(0.974473\pi\)
\(332\) 10.4729 13.1147i 0.574774 0.719760i
\(333\) −10.2714 10.2714i −0.562869 0.562869i
\(334\) 7.28126 + 6.51129i 0.398413 + 0.356282i
\(335\) 7.81033 22.0893i 0.426724 1.20687i
\(336\) −38.8289 + 8.80810i −2.11829 + 0.480521i
\(337\) −4.32305 + 4.32305i −0.235492 + 0.235492i −0.814980 0.579489i \(-0.803252\pi\)
0.579489 + 0.814980i \(0.303252\pi\)
\(338\) −0.0788259 1.41202i −0.00428756 0.0768035i
\(339\) −31.0520 −1.68651
\(340\) 14.8677 + 3.45491i 0.806312 + 0.187369i
\(341\) −1.56524 −0.0847626
\(342\) −1.03553 18.5495i −0.0559949 1.00304i
\(343\) −13.9432 + 13.9432i −0.752862 + 0.752862i
\(344\) 11.9767 16.8440i 0.645743 0.908168i
\(345\) −29.1082 + 13.9011i −1.56713 + 0.748408i
\(346\) −16.9597 15.1663i −0.911760 0.815344i
\(347\) 16.3762 + 16.3762i 0.879119 + 0.879119i 0.993443 0.114324i \(-0.0364703\pi\)
−0.114324 + 0.993443i \(0.536470\pi\)
\(348\) −18.5517 14.8147i −0.994476 0.794151i
\(349\) 24.6174i 1.31774i 0.752258 + 0.658869i \(0.228965\pi\)
−0.752258 + 0.658869i \(0.771035\pi\)
\(350\) 30.0793 4.89881i 1.60780 0.261852i
\(351\) 1.53828i 0.0821072i
\(352\) −0.773880 2.70309i −0.0412479 0.144075i
\(353\) 5.78094 + 5.78094i 0.307688 + 0.307688i 0.844012 0.536324i \(-0.180187\pi\)
−0.536324 + 0.844012i \(0.680187\pi\)
\(354\) 16.0247 17.9197i 0.851704 0.952419i
\(355\) −1.24872 + 0.596344i −0.0662751 + 0.0316506i
\(356\) 2.83683 + 25.3290i 0.150351 + 1.34243i
\(357\) 24.0228 24.0228i 1.27142 1.27142i
\(358\) −20.0787 + 1.12090i −1.06119 + 0.0592413i
\(359\) −6.42788 −0.339251 −0.169625 0.985509i \(-0.554256\pi\)
−0.169625 + 0.985509i \(0.554256\pi\)
\(360\) 12.0749 8.49052i 0.636402 0.447489i
\(361\) 12.6814 0.667443
\(362\) 14.6963 0.820424i 0.772422 0.0431205i
\(363\) −17.5605 + 17.5605i −0.921687 + 0.921687i
\(364\) 0.959412 + 8.56623i 0.0502869 + 0.448993i
\(365\) −12.1611 + 34.3944i −0.636543 + 1.80029i
\(366\) −14.0018 + 15.6575i −0.731886 + 0.818432i
\(367\) 11.7313 + 11.7313i 0.612371 + 0.612371i 0.943563 0.331192i \(-0.107451\pi\)
−0.331192 + 0.943563i \(0.607451\pi\)
\(368\) −13.3209 + 21.1376i −0.694400 + 1.10187i
\(369\) 19.8350i 1.03257i
\(370\) 18.8924 + 5.51641i 0.982170 + 0.286784i
\(371\) 1.23841i 0.0642949i
\(372\) −11.3665 9.07685i −0.589325 0.470613i
\(373\) 15.7227 + 15.7227i 0.814091 + 0.814091i 0.985244 0.171154i \(-0.0547494\pi\)
−0.171154 + 0.985244i \(0.554749\pi\)
\(374\) 1.78836 + 1.59925i 0.0924741 + 0.0826953i
\(375\) −21.9969 + 13.5233i −1.13592 + 0.698339i
\(376\) −0.361162 0.256800i −0.0186255 0.0132435i
\(377\) −3.63440 + 3.63440i −0.187181 + 0.187181i
\(378\) 0.522602 + 9.36141i 0.0268797 + 0.481499i
\(379\) −28.9807 −1.48864 −0.744319 0.667825i \(-0.767226\pi\)
−0.744319 + 0.667825i \(0.767226\pi\)
\(380\) 13.3085 + 21.3661i 0.682713 + 1.09606i
\(381\) −0.276571 −0.0141691
\(382\) 0.557492 + 9.98640i 0.0285238 + 0.510948i
\(383\) 22.7875 22.7875i 1.16439 1.16439i 0.180882 0.983505i \(-0.442105\pi\)
0.983505 0.180882i \(-0.0578953\pi\)
\(384\) 10.0555 24.1171i 0.513141 1.23072i
\(385\) 4.51610 + 1.59680i 0.230162 + 0.0813805i
\(386\) −22.8541 20.4374i −1.16324 1.04023i
\(387\) 12.0594 + 12.0594i 0.613016 + 0.613016i
\(388\) 14.3882 18.0177i 0.730451 0.914708i
\(389\) 1.60674i 0.0814649i 0.999170 + 0.0407324i \(0.0129691\pi\)
−0.999170 + 0.0407324i \(0.987031\pi\)
\(390\) −3.50979 6.40475i −0.177725 0.324317i
\(391\) 21.3189i 1.07815i
\(392\) −5.45188 32.2825i −0.275362 1.63051i
\(393\) 20.0673 + 20.0673i 1.01226 + 1.01226i
\(394\) 5.14160 5.74960i 0.259030 0.289661i
\(395\) −2.59709 5.43819i −0.130674 0.273625i
\(396\) 2.30571 0.258238i 0.115866 0.0129770i
\(397\) −12.8728 + 12.8728i −0.646069 + 0.646069i −0.952041 0.305971i \(-0.901019\pi\)
0.305971 + 0.952041i \(0.401019\pi\)
\(398\) 4.48766 0.250524i 0.224946 0.0125576i
\(399\) 56.0265 2.80483
\(400\) −8.81889 + 17.9507i −0.440944 + 0.897534i
\(401\) −9.91973 −0.495367 −0.247684 0.968841i \(-0.579669\pi\)
−0.247684 + 0.968841i \(0.579669\pi\)
\(402\) 34.1697 1.90753i 1.70423 0.0951388i
\(403\) −2.22677 + 2.22677i −0.110923 + 0.110923i
\(404\) −8.30831 + 0.930524i −0.413354 + 0.0462953i
\(405\) −10.1706 21.2967i −0.505379 1.05824i
\(406\) 20.8829 23.3523i 1.03640 1.15896i
\(407\) 2.18741 + 2.18741i 0.108426 + 0.108426i
\(408\) 3.71270 + 21.9842i 0.183806 + 1.08838i
\(409\) 22.7557i 1.12520i −0.826730 0.562599i \(-0.809802\pi\)
0.826730 0.562599i \(-0.190198\pi\)
\(410\) 12.9152 + 23.5678i 0.637834 + 1.16393i
\(411\) 7.96269i 0.392770i
\(412\) −6.12381 + 7.66855i −0.301699 + 0.377802i
\(413\) 22.4306 + 22.4306i 1.10374 + 1.10374i
\(414\) −15.3683 13.7431i −0.755309 0.675437i
\(415\) −17.6909 6.25513i −0.868412 0.307052i
\(416\) −4.94645 2.74456i −0.242520 0.134563i
\(417\) 3.54616 3.54616i 0.173656 0.173656i
\(418\) 0.220528 + 3.95033i 0.0107864 + 0.193217i
\(419\) −6.93899 −0.338992 −0.169496 0.985531i \(-0.554214\pi\)
−0.169496 + 0.985531i \(0.554214\pi\)
\(420\) 23.5352 + 37.7846i 1.14840 + 1.84370i
\(421\) −3.45189 −0.168235 −0.0841173 0.996456i \(-0.526807\pi\)
−0.0841173 + 0.996456i \(0.526807\pi\)
\(422\) −0.839222 15.0331i −0.0408527 0.731798i
\(423\) 0.258574 0.258574i 0.0125723 0.0125723i
\(424\) −0.662354 0.470960i −0.0321668 0.0228718i
\(425\) −1.80010 16.9702i −0.0873176 0.823178i
\(426\) −1.50672 1.34739i −0.0730006 0.0652810i
\(427\) −19.5990 19.5990i −0.948463 0.948463i
\(428\) −20.8510 16.6508i −1.00787 0.804848i
\(429\) 1.14793i 0.0554227i
\(430\) −22.1812 6.47670i −1.06967 0.312334i
\(431\) 5.69174i 0.274161i −0.990560 0.137081i \(-0.956228\pi\)
0.990560 0.137081i \(-0.0437720\pi\)
\(432\) −5.20563 3.28058i −0.250456 0.157837i
\(433\) −22.4844 22.4844i −1.08053 1.08053i −0.996460 0.0840698i \(-0.973208\pi\)
−0.0840698 0.996460i \(-0.526792\pi\)
\(434\) 12.7948 14.3078i 0.614170 0.686796i
\(435\) −8.84837 + 25.0252i −0.424247 + 1.19986i
\(436\) 2.27077 + 20.2749i 0.108750 + 0.970990i
\(437\) 24.8602 24.8602i 1.18923 1.18923i
\(438\) −53.2042 + 2.97013i −2.54220 + 0.141918i
\(439\) −18.8063 −0.897574 −0.448787 0.893639i \(-0.648144\pi\)
−0.448787 + 0.893639i \(0.648144\pi\)
\(440\) −2.57149 + 1.80815i −0.122591 + 0.0862004i
\(441\) 27.0159 1.28647
\(442\) 4.81933 0.269040i 0.229232 0.0127969i
\(443\) 27.8526 27.8526i 1.32332 1.32332i 0.412246 0.911073i \(-0.364744\pi\)
0.911073 0.412246i \(-0.135256\pi\)
\(444\) 3.19975 + 28.5694i 0.151854 + 1.35584i
\(445\) 25.7139 12.2800i 1.21896 0.582130i
\(446\) −17.8028 + 19.9080i −0.842988 + 0.942672i
\(447\) 0.656813 + 0.656813i 0.0310662 + 0.0310662i
\(448\) 31.0347 + 15.0219i 1.46625 + 0.709719i
\(449\) 18.0953i 0.853970i −0.904259 0.426985i \(-0.859576\pi\)
0.904259 0.426985i \(-0.140424\pi\)
\(450\) −13.3938 9.64211i −0.631391 0.454533i
\(451\) 4.22410i 0.198905i
\(452\) 21.0125 + 16.7798i 0.988344 + 0.789255i
\(453\) 18.8674 + 18.8674i 0.886470 + 0.886470i
\(454\) −8.51890 7.61805i −0.399812 0.357533i
\(455\) 8.69642 4.15310i 0.407695 0.194700i
\(456\) −21.3066 + 29.9654i −0.997772 + 1.40326i
\(457\) 19.6055 19.6055i 0.917105 0.917105i −0.0797133 0.996818i \(-0.525400\pi\)
0.996818 + 0.0797133i \(0.0254005\pi\)
\(458\) 1.02460 + 18.3537i 0.0478763 + 0.857613i
\(459\) 5.25028 0.245062
\(460\) 27.2090 + 6.32276i 1.26863 + 0.294800i
\(461\) −34.9245 −1.62660 −0.813298 0.581848i \(-0.802330\pi\)
−0.813298 + 0.581848i \(0.802330\pi\)
\(462\) 0.389989 + 6.98590i 0.0181439 + 0.325013i
\(463\) −21.6671 + 21.6671i −1.00695 + 1.00695i −0.00697798 + 0.999976i \(0.502221\pi\)
−0.999976 + 0.00697798i \(0.997779\pi\)
\(464\) 4.54819 + 20.0499i 0.211144 + 0.930791i
\(465\) −5.42133 + 15.3327i −0.251408 + 0.711038i
\(466\) −1.31467 1.17565i −0.0609010 0.0544609i
\(467\) −1.42697 1.42697i −0.0660321 0.0660321i 0.673320 0.739352i \(-0.264868\pi\)
−0.739352 + 0.673320i \(0.764868\pi\)
\(468\) 2.91281 3.64756i 0.134645 0.168609i
\(469\) 45.1590i 2.08525i
\(470\) −0.138871 + 0.475600i −0.00640563 + 0.0219378i
\(471\) 35.7201i 1.64590i
\(472\) −20.5271 + 3.46662i −0.944837 + 0.159564i
\(473\) −2.56820 2.56820i −0.118086 0.118086i
\(474\) 5.86789 6.56178i 0.269521 0.301392i
\(475\) 17.6901 21.8883i 0.811676 1.00430i
\(476\) −29.2373 + 3.27456i −1.34009 + 0.150089i
\(477\) 0.474212 0.474212i 0.0217127 0.0217127i
\(478\) 8.66532 0.483742i 0.396342 0.0221259i
\(479\) −27.3934 −1.25163 −0.625817 0.779970i \(-0.715235\pi\)
−0.625817 + 0.779970i \(0.715235\pi\)
\(480\) −29.1592 1.78161i −1.33093 0.0813189i
\(481\) 6.22378 0.283780
\(482\) −33.5763 + 1.87440i −1.52936 + 0.0853765i
\(483\) 43.9637 43.9637i 2.00042 2.00042i
\(484\) 21.3723 2.39368i 0.971467 0.108804i
\(485\) −24.3047 8.59365i −1.10362 0.390217i
\(486\) 18.6290 20.8320i 0.845030 0.944957i
\(487\) 8.51241 + 8.51241i 0.385734 + 0.385734i 0.873163 0.487429i \(-0.162065\pi\)
−0.487429 + 0.873163i \(0.662065\pi\)
\(488\) 17.9358 3.02901i 0.811916 0.137117i
\(489\) 16.8467i 0.761835i
\(490\) −32.1001 + 17.5908i −1.45014 + 0.794673i
\(491\) 14.9696i 0.675570i 0.941223 + 0.337785i \(0.109678\pi\)
−0.941223 + 0.337785i \(0.890322\pi\)
\(492\) −24.4956 + 30.6746i −1.10435 + 1.38292i
\(493\) −12.4045 12.4045i −0.558672 0.558672i
\(494\) 5.93360 + 5.30614i 0.266965 + 0.238735i
\(495\) −1.11786 2.34076i −0.0502441 0.105209i
\(496\) 2.78664 + 12.2844i 0.125124 + 0.551585i
\(497\) 1.88600 1.88600i 0.0845989 0.0845989i
\(498\) −1.52770 27.3658i −0.0684578 1.22629i
\(499\) 15.5021 0.693969 0.346984 0.937871i \(-0.387206\pi\)
0.346984 + 0.937871i \(0.387206\pi\)
\(500\) 22.1927 + 2.73559i 0.992488 + 0.122339i
\(501\) 15.9520 0.712682
\(502\) −1.68624 30.2057i −0.0752605 1.34815i
\(503\) −7.25339 + 7.25339i −0.323413 + 0.323413i −0.850075 0.526662i \(-0.823443\pi\)
0.526662 + 0.850075i \(0.323443\pi\)
\(504\) −16.4871 + 23.1873i −0.734394 + 1.03285i
\(505\) 4.02805 + 8.43458i 0.179246 + 0.375334i
\(506\) 3.27285 + 2.92676i 0.145496 + 0.130110i
\(507\) −1.63309 1.63309i −0.0725279 0.0725279i
\(508\) 0.187152 + 0.149453i 0.00830353 + 0.00663089i
\(509\) 3.62150i 0.160520i 0.996774 + 0.0802602i \(0.0255751\pi\)
−0.996774 + 0.0802602i \(0.974425\pi\)
\(510\) 21.8600 11.9792i 0.967976 0.530450i
\(511\) 70.3152i 3.11056i
\(512\) −19.8367 + 10.8860i −0.876668 + 0.481097i
\(513\) 6.12241 + 6.12241i 0.270311 + 0.270311i
\(514\) −15.7049 + 17.5620i −0.692712 + 0.774626i
\(515\) 10.3444 + 3.65757i 0.455829 + 0.161172i
\(516\) −3.75677 33.5428i −0.165382 1.47664i
\(517\) −0.0550663 + 0.0550663i −0.00242181 + 0.00242181i
\(518\) −37.8757 + 2.11441i −1.66416 + 0.0929020i
\(519\) −37.1558 −1.63096
\(520\) −1.08594 + 6.23063i −0.0476218 + 0.273231i
\(521\) 35.8853 1.57216 0.786082 0.618123i \(-0.212107\pi\)
0.786082 + 0.618123i \(0.212107\pi\)
\(522\) −16.9386 + 0.945598i −0.741381 + 0.0413877i
\(523\) −18.4185 + 18.4185i −0.805384 + 0.805384i −0.983931 0.178548i \(-0.942860\pi\)
0.178548 + 0.983931i \(0.442860\pi\)
\(524\) −2.73538 24.4232i −0.119496 1.06693i
\(525\) 31.2837 38.7080i 1.36533 1.68936i
\(526\) −14.9053 + 16.6678i −0.649900 + 0.726752i
\(527\) −7.60015 7.60015i −0.331068 0.331068i
\(528\) −3.88467 2.44812i −0.169059 0.106541i
\(529\) 16.0154i 0.696320i
\(530\) −0.254682 + 0.872228i −0.0110627 + 0.0378872i
\(531\) 17.1783i 0.745474i
\(532\) −37.9124 30.2754i −1.64371 1.31261i
\(533\) 6.00935 + 6.00935i 0.260294 + 0.260294i
\(534\) 31.0266 + 27.7457i 1.34265 + 1.20067i
\(535\) −9.94504 + 28.1268i −0.429961 + 1.21603i
\(536\) −24.1530 17.1737i −1.04325 0.741792i
\(537\) −23.2224 + 23.2224i −1.00212 + 1.00212i
\(538\) −0.147420 2.64075i −0.00635574 0.113851i
\(539\) −5.75335 −0.247814
\(540\) −1.55713 + 6.70085i −0.0670081 + 0.288359i
\(541\) −0.467513 −0.0200999 −0.0100500 0.999949i \(-0.503199\pi\)
−0.0100500 + 0.999949i \(0.503199\pi\)
\(542\) 1.86586 + 33.4234i 0.0801457 + 1.43566i
\(543\) 16.9972 16.9972i 0.729422 0.729422i
\(544\) 9.36742 16.8827i 0.401625 0.723839i
\(545\) 20.5830 9.82971i 0.881679 0.421058i
\(546\) 10.4932 + 9.38356i 0.449067 + 0.401579i
\(547\) 16.7318 + 16.7318i 0.715402 + 0.715402i 0.967660 0.252258i \(-0.0811732\pi\)
−0.252258 + 0.967660i \(0.581173\pi\)
\(548\) −4.30286 + 5.38825i −0.183809 + 0.230175i
\(549\) 15.0097i 0.640600i
\(550\) 2.85237 + 2.05340i 0.121625 + 0.0875573i
\(551\) 28.9301i 1.23246i
\(552\) 6.79453 + 40.2328i 0.289194 + 1.71242i
\(553\) 8.21358 + 8.21358i 0.349277 + 0.349277i
\(554\) 14.9762 16.7472i 0.636280 0.711521i
\(555\) 29.0036 13.8511i 1.23114 0.587946i
\(556\) −4.31591 + 0.483379i −0.183035 + 0.0204998i
\(557\) −26.5909 + 26.5909i −1.12669 + 1.12669i −0.135981 + 0.990711i \(0.543419\pi\)
−0.990711 + 0.135981i \(0.956581\pi\)
\(558\) −10.3781 + 0.579361i −0.439341 + 0.0245263i
\(559\) −7.30721 −0.309062
\(560\) 4.49193 38.2863i 0.189819 1.61789i
\(561\) 3.91800 0.165418
\(562\) −7.73986 + 0.432078i −0.326486 + 0.0182261i
\(563\) 0.168647 0.168647i 0.00710764 0.00710764i −0.703544 0.710652i \(-0.748400\pi\)
0.710652 + 0.703544i \(0.248400\pi\)
\(564\) −0.719211 + 0.0805511i −0.0302842 + 0.00339181i
\(565\) 10.0221 28.3446i 0.421631 1.19247i
\(566\) 10.5295 11.7746i 0.442586 0.494923i
\(567\) 32.1656 + 32.1656i 1.35083 + 1.35083i
\(568\) 0.291480 + 1.72595i 0.0122302 + 0.0724194i
\(569\) 3.52360i 0.147717i 0.997269 + 0.0738586i \(0.0235313\pi\)
−0.997269 + 0.0738586i \(0.976469\pi\)
\(570\) 39.4603 + 11.5220i 1.65281 + 0.482604i
\(571\) 29.6178i 1.23947i −0.784812 0.619734i \(-0.787240\pi\)
0.784812 0.619734i \(-0.212760\pi\)
\(572\) −0.620316 + 0.776792i −0.0259367 + 0.0324793i
\(573\) 11.5499 + 11.5499i 0.482505 + 0.482505i
\(574\) −38.6123 34.5291i −1.61164 1.44122i
\(575\) −3.29433 31.0569i −0.137383 1.29516i
\(576\) −6.13164 17.6360i −0.255485 0.734835i
\(577\) −6.92290 + 6.92290i −0.288204 + 0.288204i −0.836370 0.548166i \(-0.815326\pi\)
0.548166 + 0.836370i \(0.315326\pi\)
\(578\) −0.421783 7.55543i −0.0175439 0.314265i
\(579\) −50.0694 −2.08081
\(580\) 19.5106 12.1528i 0.810134 0.504616i
\(581\) 36.1669 1.50046
\(582\) −2.09884 37.5967i −0.0869996 1.55843i
\(583\) −0.100989 + 0.100989i −0.00418253 + 0.00418253i
\(584\) 37.6076 + 26.7405i 1.55622 + 1.10653i
\(585\) −4.92035 1.73973i −0.203431 0.0719290i
\(586\) 18.2463 + 16.3168i 0.753747 + 0.674040i
\(587\) 18.1217 + 18.1217i 0.747961 + 0.747961i 0.974096 0.226135i \(-0.0726090\pi\)
−0.226135 + 0.974096i \(0.572609\pi\)
\(588\) −41.7797 33.3637i −1.72297 1.37590i
\(589\) 17.7252i 0.730355i
\(590\) 11.1853 + 20.4111i 0.460491 + 0.840313i
\(591\) 12.5964i 0.518145i
\(592\) 13.2730 21.0617i 0.545518 0.865629i
\(593\) −16.4896 16.4896i −0.677147 0.677147i 0.282206 0.959354i \(-0.408934\pi\)
−0.959354 + 0.282206i \(0.908934\pi\)
\(594\) −0.720782 + 0.806015i −0.0295740 + 0.0330712i
\(595\) 14.1749 + 29.6817i 0.581115 + 1.21683i
\(596\) −0.0895305 0.799385i −0.00366731 0.0327441i
\(597\) 5.19027 5.19027i 0.212423 0.212423i
\(598\) 8.81977 0.492365i 0.360667 0.0201343i
\(599\) −6.82062 −0.278683 −0.139341 0.990244i \(-0.544499\pi\)
−0.139341 + 0.990244i \(0.544499\pi\)
\(600\) 8.80569 + 31.4523i 0.359491 + 1.28404i
\(601\) 3.24618 0.132415 0.0662073 0.997806i \(-0.478910\pi\)
0.0662073 + 0.997806i \(0.478910\pi\)
\(602\) 44.4690 2.48249i 1.81242 0.101179i
\(603\) 17.2923 17.2923i 0.704197 0.704197i
\(604\) −2.57183 22.9629i −0.104646 0.934347i
\(605\) −10.3618 21.6971i −0.421265 0.882112i
\(606\) −9.10103 + 10.1772i −0.369704 + 0.413422i
\(607\) 6.52615 + 6.52615i 0.264888 + 0.264888i 0.827036 0.562148i \(-0.190025\pi\)
−0.562148 + 0.827036i \(0.690025\pi\)
\(608\) 30.6105 8.76363i 1.24142 0.355412i
\(609\) 51.1609i 2.07314i
\(610\) −9.77328 17.8345i −0.395708 0.722097i
\(611\) 0.156678i 0.00633852i
\(612\) 12.4495 + 9.94168i 0.503240 + 0.401868i
\(613\) −5.59655 5.59655i −0.226042 0.226042i 0.584995 0.811037i \(-0.301097\pi\)
−0.811037 + 0.584995i \(0.801097\pi\)
\(614\) −6.86205 6.13641i −0.276930 0.247645i
\(615\) 41.3782 + 14.6305i 1.66853 + 0.589957i
\(616\) 3.51112 4.93801i 0.141467 0.198958i
\(617\) −26.4213 + 26.4213i −1.06368 + 1.06368i −0.0658511 + 0.997829i \(0.520976\pi\)
−0.997829 + 0.0658511i \(0.979024\pi\)
\(618\) 0.893292 + 16.0016i 0.0359335 + 0.643680i
\(619\) 18.4631 0.742093 0.371046 0.928614i \(-0.378999\pi\)
0.371046 + 0.928614i \(0.378999\pi\)
\(620\) 11.9540 7.44590i 0.480084 0.299034i
\(621\) 9.60844 0.385573
\(622\) −2.56225 45.8978i −0.102737 1.84033i
\(623\) −38.8370 + 38.8370i −1.55597 + 1.55597i
\(624\) −9.00924 + 2.04369i −0.360658 + 0.0818132i
\(625\) −5.24468 24.4437i −0.209787 0.977747i
\(626\) 28.6299 + 25.6024i 1.14428 + 1.02328i
\(627\) 4.56881 + 4.56881i 0.182461 + 0.182461i
\(628\) 19.3023 24.1714i 0.770248 0.964543i
\(629\) 21.2423i 0.846987i
\(630\) 30.5345 + 8.91578i 1.21652 + 0.355213i
\(631\) 23.4935i 0.935263i 0.883923 + 0.467632i \(0.154893\pi\)
−0.883923 + 0.467632i \(0.845107\pi\)
\(632\) −7.51656 + 1.26940i −0.298993 + 0.0504940i
\(633\) −17.3867 17.3867i −0.691059 0.691059i
\(634\) 11.0451 12.3512i 0.438657 0.490529i
\(635\) 0.0892635 0.252457i 0.00354231 0.0100184i
\(636\) −1.31900 + 0.147727i −0.0523017 + 0.00585775i
\(637\) −8.18491 + 8.18491i −0.324298 + 0.324298i
\(638\) 3.60727 0.201376i 0.142813 0.00797256i
\(639\) −1.44438 −0.0571388
\(640\) 18.7689 + 16.9625i 0.741906 + 0.670504i
\(641\) 23.5205 0.929004 0.464502 0.885572i \(-0.346233\pi\)
0.464502 + 0.885572i \(0.346233\pi\)
\(642\) −43.5089 + 2.42889i −1.71716 + 0.0958606i
\(643\) 21.3805 21.3805i 0.843165 0.843165i −0.146104 0.989269i \(-0.546674\pi\)
0.989269 + 0.146104i \(0.0466736\pi\)
\(644\) −53.5066 + 5.99271i −2.10846 + 0.236146i
\(645\) −34.0526 + 16.2623i −1.34082 + 0.640327i
\(646\) −18.1103 + 20.2519i −0.712542 + 0.796801i
\(647\) −20.7116 20.7116i −0.814255 0.814255i 0.171013 0.985269i \(-0.445296\pi\)
−0.985269 + 0.171013i \(0.945296\pi\)
\(648\) −29.4359 + 4.97115i −1.15635 + 0.195285i
\(649\) 3.65832i 0.143601i
\(650\) 6.97911 1.13664i 0.273743 0.0445828i
\(651\) 31.3459i 1.22854i
\(652\) 9.10359 11.4000i 0.356524 0.446457i
\(653\) 18.3070 + 18.3070i 0.716410 + 0.716410i 0.967868 0.251458i \(-0.0809101\pi\)
−0.251458 + 0.967868i \(0.580910\pi\)
\(654\) 24.8356 + 22.2094i 0.971151 + 0.868455i
\(655\) −24.7944 + 11.8409i −0.968796 + 0.462662i
\(656\) 33.1517 7.52027i 1.29436 0.293617i
\(657\) −26.9251 + 26.9251i −1.05045 + 1.05045i
\(658\) −0.0532285 0.953487i −0.00207506 0.0371708i
\(659\) −21.7960 −0.849050 −0.424525 0.905416i \(-0.639559\pi\)
−0.424525 + 0.905416i \(0.639559\pi\)
\(660\) −1.16200 + 5.00047i −0.0452307 + 0.194643i
\(661\) −8.52927 −0.331750 −0.165875 0.986147i \(-0.553045\pi\)
−0.165875 + 0.986147i \(0.553045\pi\)
\(662\) −0.229774 4.11596i −0.00893042 0.159971i
\(663\) 5.57387 5.57387i 0.216471 0.216471i
\(664\) −13.7541 + 19.3436i −0.533762 + 0.750678i
\(665\) −18.0826 + 51.1416i −0.701213 + 1.98319i
\(666\) 15.3130 + 13.6937i 0.593367 + 0.530621i
\(667\) −22.7013 22.7013i −0.878997 0.878997i
\(668\) −10.7945 8.62009i −0.417652 0.333521i
\(669\) 43.6150i 1.68625i
\(670\) −9.28709 + 31.8061i −0.358791 + 1.22878i
\(671\) 3.19650i 0.123399i
\(672\) 54.1327 15.4979i 2.08821 0.597844i
\(673\) 12.3291 + 12.3291i 0.475250 + 0.475250i 0.903609 0.428358i \(-0.140908\pi\)
−0.428358 + 0.903609i \(0.640908\pi\)
\(674\) 5.76344 6.44498i 0.222000 0.248251i
\(675\) 7.64848 0.811304i 0.294390 0.0312271i
\(676\) 0.222607 + 1.98757i 0.00856180 + 0.0764451i
\(677\) 18.8117 18.8117i 0.722992 0.722992i −0.246222 0.969213i \(-0.579189\pi\)
0.969213 + 0.246222i \(0.0791892\pi\)
\(678\) 43.8458 2.44770i 1.68389 0.0940033i
\(679\) 49.6881 1.90685
\(680\) −21.2657 3.70643i −0.815502 0.142135i
\(681\) −18.6634 −0.715184
\(682\) 2.21015 0.123382i 0.0846308 0.00472453i
\(683\) 29.2411 29.2411i 1.11888 1.11888i 0.126973 0.991906i \(-0.459474\pi\)
0.991906 0.126973i \(-0.0405262\pi\)
\(684\) 2.92436 + 26.1105i 0.111816 + 0.998361i
\(685\) 7.26843 + 2.56996i 0.277712 + 0.0981933i
\(686\) 18.5889 20.7871i 0.709729 0.793655i
\(687\) 21.2273 + 21.2273i 0.809870 + 0.809870i
\(688\) −15.5836 + 24.7281i −0.594119 + 0.942748i
\(689\) 0.287340i 0.0109468i
\(690\) 40.0055 21.9230i 1.52298 0.834594i
\(691\) 21.6953i 0.825329i −0.910883 0.412664i \(-0.864598\pi\)
0.910883 0.412664i \(-0.135402\pi\)
\(692\) 25.1429 + 20.0781i 0.955788 + 0.763256i
\(693\) 3.53536 + 3.53536i 0.134297 + 0.134297i
\(694\) −24.4143 21.8325i −0.926753 0.828752i
\(695\) 2.09245 + 4.38150i 0.0793711 + 0.166200i
\(696\) 27.3631 + 19.4562i 1.03719 + 0.737486i
\(697\) −20.5104 + 20.5104i −0.776888 + 0.776888i
\(698\) −1.94049 34.7601i −0.0734485 1.31569i
\(699\) −2.88022 −0.108940
\(700\) −42.0862 + 9.28822i −1.59071 + 0.351062i
\(701\) −1.18461 −0.0447420 −0.0223710 0.999750i \(-0.507122\pi\)
−0.0223710 + 0.999750i \(0.507122\pi\)
\(702\) 0.121256 + 2.17207i 0.00457652 + 0.0819796i
\(703\) −24.7709 + 24.7709i −0.934251 + 0.934251i
\(704\) 1.30580 + 3.75580i 0.0492143 + 0.141552i
\(705\) 0.348689 + 0.730141i 0.0131324 + 0.0274987i
\(706\) −8.61846 7.70709i −0.324360 0.290060i
\(707\) −12.7392 12.7392i −0.479106 0.479106i
\(708\) −21.2146 + 26.5660i −0.797294 + 0.998411i
\(709\) 22.7803i 0.855532i −0.903890 0.427766i \(-0.859301\pi\)
0.903890 0.427766i \(-0.140699\pi\)
\(710\) 1.71620 0.940477i 0.0644079 0.0352955i
\(711\) 6.29030i 0.235905i
\(712\) −6.00222 35.5413i −0.224943 1.33197i
\(713\) −13.9089 13.9089i −0.520892 0.520892i
\(714\) −32.0270 + 35.8142i −1.19858 + 1.34031i
\(715\) 1.04785 + 0.370496i 0.0391872 + 0.0138558i
\(716\) 28.2631 3.16545i 1.05624 0.118298i
\(717\) 10.0220 10.0220i 0.374278 0.374278i
\(718\) 9.07627 0.506684i 0.338723 0.0189093i
\(719\) 11.1110 0.414370 0.207185 0.978302i \(-0.433570\pi\)
0.207185 + 0.978302i \(0.433570\pi\)
\(720\) −16.3807 + 12.9405i −0.610471 + 0.482266i
\(721\) −21.1479 −0.787589
\(722\) −17.9063 + 0.999624i −0.666405 + 0.0372021i
\(723\) −38.8331 + 38.8331i −1.44422 + 1.44422i
\(724\) −20.6868 + 2.31690i −0.768817 + 0.0861070i
\(725\) −19.9874 16.1538i −0.742314 0.599936i
\(726\) 23.4115 26.1799i 0.868881 0.971628i
\(727\) 11.9420 + 11.9420i 0.442904 + 0.442904i 0.892987 0.450083i \(-0.148606\pi\)
−0.450083 + 0.892987i \(0.648606\pi\)
\(728\) −2.02995 12.0200i −0.0752348 0.445492i
\(729\) 13.9756i 0.517614i
\(730\) 14.4605 49.5240i 0.535209 1.83297i
\(731\) 24.9402i 0.922445i
\(732\) 18.5365 23.2124i 0.685130 0.857954i
\(733\) 26.1775 + 26.1775i 0.966887 + 0.966887i 0.999469 0.0325820i \(-0.0103730\pi\)
−0.0325820 + 0.999469i \(0.510373\pi\)
\(734\) −17.4896 15.6401i −0.645552 0.577287i
\(735\) −19.9271 + 56.3584i −0.735023 + 2.07881i
\(736\) 17.1431 30.8967i 0.631904 1.13887i
\(737\) −3.68260 + 3.68260i −0.135650 + 0.135650i
\(738\) 1.56351 + 28.0073i 0.0575537 + 1.03096i
\(739\) 4.47304 0.164544 0.0822718 0.996610i \(-0.473782\pi\)
0.0822718 + 0.996610i \(0.473782\pi\)
\(740\) −27.1112 6.30004i −0.996628 0.231594i
\(741\) 12.9995 0.477548
\(742\) −0.0976186 1.74865i −0.00358369 0.0641950i
\(743\) −33.2249 + 33.2249i −1.21890 + 1.21890i −0.250885 + 0.968017i \(0.580722\pi\)
−0.968017 + 0.250885i \(0.919278\pi\)
\(744\) 16.7651 + 11.9207i 0.614640 + 0.437033i
\(745\) −0.811534 + 0.387560i −0.0297323 + 0.0141991i
\(746\) −23.4401 20.9613i −0.858201 0.767449i
\(747\) −13.8490 13.8490i −0.506710 0.506710i
\(748\) −2.65126 2.11720i −0.0969397 0.0774124i
\(749\) 57.5018i 2.10107i
\(750\) 29.9940 20.8290i 1.09523 0.760568i
\(751\) 20.1494i 0.735264i 0.929971 + 0.367632i \(0.119831\pi\)
−0.929971 + 0.367632i \(0.880169\pi\)
\(752\) 0.530209 + 0.334137i 0.0193347 + 0.0121847i
\(753\) −34.9349 34.9349i −1.27310 1.27310i
\(754\) 4.84534 5.41831i 0.176457 0.197323i
\(755\) −23.3119 + 11.1329i −0.848407 + 0.405169i
\(756\) −1.47584 13.1773i −0.0536759 0.479252i
\(757\) 0.215715 0.215715i 0.00784030 0.00784030i −0.703176 0.711016i \(-0.748235\pi\)
0.711016 + 0.703176i \(0.248235\pi\)
\(758\) 40.9211 2.28443i 1.48632 0.0829742i
\(759\) 7.17024 0.260263
\(760\) −20.4760 29.1202i −0.742744 1.05630i
\(761\) −44.7165 −1.62097 −0.810485 0.585759i \(-0.800796\pi\)
−0.810485 + 0.585759i \(0.800796\pi\)
\(762\) 0.390522 0.0218009i 0.0141471 0.000789765i
\(763\) −31.0876 + 31.0876i −1.12545 + 1.12545i
\(764\) −1.57437 14.0570i −0.0569588 0.508564i
\(765\) 5.93786 16.7936i 0.214684 0.607173i
\(766\) −30.3801 + 33.9725i −1.09768 + 1.22748i
\(767\) 5.20444 + 5.20444i 0.187922 + 0.187922i
\(768\) −12.2974 + 34.8463i −0.443745 + 1.25741i
\(769\) 10.5286i 0.379672i 0.981816 + 0.189836i \(0.0607956\pi\)
−0.981816 + 0.189836i \(0.939204\pi\)
\(770\) −6.50268 1.89872i −0.234340 0.0684251i
\(771\) 38.4753i 1.38565i
\(772\) 33.8814 + 27.0564i 1.21942 + 0.973780i
\(773\) −6.70573 6.70573i −0.241188 0.241188i 0.576153 0.817342i \(-0.304553\pi\)
−0.817342 + 0.576153i \(0.804553\pi\)
\(774\) −17.9787 16.0775i −0.646231 0.577894i
\(775\) −12.2461 9.89730i