Properties

Label 552.2.t.b.283.20
Level $552$
Weight $2$
Character 552.283
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 283.20
Character \(\chi\) \(=\) 552.283
Dual form 552.2.t.b.355.20

$q$-expansion

\(f(q)\) \(=\) \(q+(1.26779 + 0.626668i) q^{2} +(0.841254 - 0.540641i) q^{3} +(1.21458 + 1.58896i) q^{4} +(-0.329184 - 0.720812i) q^{5} +(1.40533 - 0.158232i) q^{6} +(1.17664 - 0.345492i) q^{7} +(0.544072 + 2.77561i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(1.26779 + 0.626668i) q^{2} +(0.841254 - 0.540641i) q^{3} +(1.21458 + 1.58896i) q^{4} +(-0.329184 - 0.720812i) q^{5} +(1.40533 - 0.158232i) q^{6} +(1.17664 - 0.345492i) q^{7} +(0.544072 + 2.77561i) q^{8} +(0.415415 - 0.909632i) q^{9} +(0.0343741 - 1.12013i) q^{10} +(0.818481 - 0.709218i) q^{11} +(1.88082 + 0.680073i) q^{12} +(-0.202291 + 0.688940i) q^{13} +(1.70824 + 0.299350i) q^{14} +(-0.666627 - 0.428415i) q^{15} +(-1.04961 + 3.85983i) q^{16} +(3.72012 + 0.534873i) q^{17} +(1.09670 - 0.892894i) q^{18} +(2.00411 - 0.288147i) q^{19} +(0.745526 - 1.39854i) q^{20} +(0.803064 - 0.926785i) q^{21} +(1.48210 - 0.386223i) q^{22} +(-4.14565 + 2.41114i) q^{23} +(1.95831 + 2.04084i) q^{24} +(2.86310 - 3.30419i) q^{25} +(-0.688199 + 0.746661i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(1.97809 + 1.45001i) q^{28} +(-9.25731 - 1.33100i) q^{29} +(-0.576668 - 0.960894i) q^{30} +(0.114547 - 0.178238i) q^{31} +(-3.74952 + 4.23569i) q^{32} +(0.305118 - 1.03914i) q^{33} +(4.38114 + 3.00939i) q^{34} +(-0.636365 - 0.734405i) q^{35} +(1.94993 - 0.444737i) q^{36} +(-1.01153 + 2.21494i) q^{37} +(2.72136 + 0.890599i) q^{38} +(0.202291 + 0.688940i) q^{39} +(1.82159 - 1.30586i) q^{40} +(1.46577 + 3.20958i) q^{41} +(1.59890 - 0.671714i) q^{42} +(-3.13634 - 4.88024i) q^{43} +(2.12103 + 0.439138i) q^{44} -0.792421 q^{45} +(-6.76679 + 0.458867i) q^{46} -4.85700i q^{47} +(1.20379 + 3.81456i) q^{48} +(-4.62366 + 2.97145i) q^{49} +(5.70043 - 2.39480i) q^{50} +(3.41874 - 1.56129i) q^{51} +(-1.34040 + 0.515337i) q^{52} +(-1.75311 + 0.514758i) q^{53} +(0.439864 - 1.34407i) q^{54} +(-0.780643 - 0.356508i) q^{55} +(1.59913 + 3.07791i) q^{56} +(1.53018 - 1.32591i) q^{57} +(-10.9022 - 7.48868i) q^{58} +(-8.52117 - 2.50204i) q^{59} +(-0.128932 - 1.57959i) q^{60} +(5.44006 + 3.49612i) q^{61} +(0.256917 - 0.154186i) q^{62} +(0.174523 - 1.21383i) q^{63} +(-7.40797 + 3.02026i) q^{64} +(0.563187 - 0.0809741i) q^{65} +(1.03802 - 1.12620i) q^{66} +(-0.305184 - 0.264444i) q^{67} +(3.66848 + 6.56078i) q^{68} +(-2.18398 + 4.26969i) q^{69} +(-0.346549 - 1.32986i) q^{70} +(-6.97647 - 6.04514i) q^{71} +(2.75080 + 0.658123i) q^{72} +(0.454572 + 3.16162i) q^{73} +(-2.67043 + 2.17418i) q^{74} +(0.622210 - 4.32757i) q^{75} +(2.89199 + 2.83448i) q^{76} +(0.718027 - 1.11727i) q^{77} +(-0.175274 + 1.00020i) q^{78} +(7.57011 + 2.22279i) q^{79} +(3.12773 - 0.514020i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-0.153059 + 4.98762i) q^{82} +(-15.0430 - 6.86992i) q^{83} +(2.44801 + 0.150389i) q^{84} +(-0.839061 - 2.85758i) q^{85} +(-0.917928 - 8.15256i) q^{86} +(-8.50734 + 3.88517i) q^{87} +(2.41382 + 1.88591i) q^{88} +(3.02408 + 4.70556i) q^{89} +(-1.00462 - 0.496585i) q^{90} +0.880524i q^{91} +(-8.86642 - 3.65878i) q^{92} -0.211872i q^{93} +(3.04373 - 6.15765i) q^{94} +(-0.867419 - 1.34973i) q^{95} +(-0.864309 + 5.59044i) q^{96} +(-1.75430 + 0.801163i) q^{97} +(-7.72393 + 0.869667i) q^{98} +(-0.305118 - 1.03914i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 4q^{2} - 24q^{3} - 4q^{4} - 7q^{6} + 4q^{8} - 24q^{9} + O(q^{10}) \) \( 240q + 4q^{2} - 24q^{3} - 4q^{4} - 7q^{6} + 4q^{8} - 24q^{9} - 4q^{12} - 4q^{16} - 44q^{17} + 4q^{18} + 55q^{20} + 4q^{24} - 24q^{25} - 24q^{27} + 4q^{32} - 55q^{34} + 7q^{36} + 22q^{38} + 11q^{40} - 44q^{42} + 77q^{44} - 48q^{46} + 51q^{48} + 8q^{49} - 33q^{50} + 165q^{52} - 7q^{54} - 22q^{56} - 59q^{58} + 11q^{60} + 29q^{62} - 4q^{64} + 55q^{66} + 132q^{70} + 4q^{72} - 144q^{73} - 66q^{74} - 24q^{75} - 55q^{76} - 24q^{81} - 26q^{82} - 44q^{84} - 110q^{86} - 198q^{88} - 47q^{92} - 73q^{94} + 4q^{96} + 53q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{19}{22}\right)\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.26779 + 0.626668i 0.896462 + 0.443121i
\(3\) 0.841254 0.540641i 0.485698 0.312139i
\(4\) 1.21458 + 1.58896i 0.607288 + 0.794482i
\(5\) −0.329184 0.720812i −0.147215 0.322357i 0.821631 0.570020i \(-0.193065\pi\)
−0.968846 + 0.247663i \(0.920337\pi\)
\(6\) 1.40533 0.158232i 0.573725 0.0645979i
\(7\) 1.17664 0.345492i 0.444728 0.130584i −0.0516986 0.998663i \(-0.516464\pi\)
0.496426 + 0.868079i \(0.334645\pi\)
\(8\) 0.544072 + 2.77561i 0.192359 + 0.981325i
\(9\) 0.415415 0.909632i 0.138472 0.303211i
\(10\) 0.0343741 1.12013i 0.0108700 0.354215i
\(11\) 0.818481 0.709218i 0.246781 0.213837i −0.522683 0.852527i \(-0.675069\pi\)
0.769464 + 0.638690i \(0.220523\pi\)
\(12\) 1.88082 + 0.680073i 0.542947 + 0.196320i
\(13\) −0.202291 + 0.688940i −0.0561055 + 0.191078i −0.982777 0.184794i \(-0.940838\pi\)
0.926672 + 0.375871i \(0.122657\pi\)
\(14\) 1.70824 + 0.299350i 0.456546 + 0.0800047i
\(15\) −0.666627 0.428415i −0.172122 0.110616i
\(16\) −1.04961 + 3.85983i −0.262403 + 0.964958i
\(17\) 3.72012 + 0.534873i 0.902262 + 0.129726i 0.577805 0.816175i \(-0.303909\pi\)
0.324457 + 0.945900i \(0.394818\pi\)
\(18\) 1.09670 0.892894i 0.258494 0.210457i
\(19\) 2.00411 0.288147i 0.459774 0.0661055i 0.0914634 0.995808i \(-0.470846\pi\)
0.368310 + 0.929703i \(0.379936\pi\)
\(20\) 0.745526 1.39854i 0.166705 0.312723i
\(21\) 0.803064 0.926785i 0.175243 0.202241i
\(22\) 1.48210 0.386223i 0.315986 0.0823430i
\(23\) −4.14565 + 2.41114i −0.864428 + 0.502757i
\(24\) 1.95831 + 2.04084i 0.399738 + 0.416585i
\(25\) 2.86310 3.30419i 0.572619 0.660838i
\(26\) −0.688199 + 0.746661i −0.134967 + 0.146432i
\(27\) −0.142315 0.989821i −0.0273885 0.190491i
\(28\) 1.97809 + 1.45001i 0.373824 + 0.274026i
\(29\) −9.25731 1.33100i −1.71904 0.247161i −0.788940 0.614470i \(-0.789370\pi\)
−0.930099 + 0.367309i \(0.880279\pi\)
\(30\) −0.576668 0.960894i −0.105285 0.175434i
\(31\) 0.114547 0.178238i 0.0205732 0.0320125i −0.830815 0.556549i \(-0.812125\pi\)
0.851388 + 0.524537i \(0.175761\pi\)
\(32\) −3.74952 + 4.23569i −0.662828 + 0.748772i
\(33\) 0.305118 1.03914i 0.0531142 0.180890i
\(34\) 4.38114 + 3.00939i 0.751359 + 0.516105i
\(35\) −0.636365 0.734405i −0.107565 0.124137i
\(36\) 1.94993 0.444737i 0.324988 0.0741228i
\(37\) −1.01153 + 2.21494i −0.166294 + 0.364133i −0.974372 0.224942i \(-0.927781\pi\)
0.808078 + 0.589076i \(0.200508\pi\)
\(38\) 2.72136 + 0.890599i 0.441462 + 0.144474i
\(39\) 0.202291 + 0.688940i 0.0323925 + 0.110319i
\(40\) 1.82159 1.30586i 0.288019 0.206474i
\(41\) 1.46577 + 3.20958i 0.228915 + 0.501253i 0.988881 0.148709i \(-0.0475119\pi\)
−0.759966 + 0.649962i \(0.774785\pi\)
\(42\) 1.59890 0.671714i 0.246716 0.103648i
\(43\) −3.13634 4.88024i −0.478288 0.744230i 0.515335 0.856989i \(-0.327668\pi\)
−0.993622 + 0.112759i \(0.964031\pi\)
\(44\) 2.12103 + 0.439138i 0.319757 + 0.0662026i
\(45\) −0.792421 −0.118127
\(46\) −6.76679 + 0.458867i −0.997709 + 0.0676563i
\(47\) 4.85700i 0.708467i −0.935157 0.354233i \(-0.884742\pi\)
0.935157 0.354233i \(-0.115258\pi\)
\(48\) 1.20379 + 3.81456i 0.173752 + 0.550585i
\(49\) −4.62366 + 2.97145i −0.660523 + 0.424492i
\(50\) 5.70043 2.39480i 0.806162 0.338676i
\(51\) 3.41874 1.56129i 0.478719 0.218624i
\(52\) −1.34040 + 0.515337i −0.185880 + 0.0714643i
\(53\) −1.75311 + 0.514758i −0.240808 + 0.0707075i −0.399909 0.916555i \(-0.630958\pi\)
0.159102 + 0.987262i \(0.449140\pi\)
\(54\) 0.439864 1.34407i 0.0598579 0.182905i
\(55\) −0.780643 0.356508i −0.105262 0.0480715i
\(56\) 1.59913 + 3.07791i 0.213692 + 0.411303i
\(57\) 1.53018 1.32591i 0.202677 0.175621i
\(58\) −10.9022 7.48868i −1.43153 0.983312i
\(59\) −8.52117 2.50204i −1.10936 0.325738i −0.324796 0.945784i \(-0.605296\pi\)
−0.784565 + 0.620046i \(0.787114\pi\)
\(60\) −0.128932 1.57959i −0.0166451 0.203924i
\(61\) 5.44006 + 3.49612i 0.696529 + 0.447632i 0.840401 0.541964i \(-0.182319\pi\)
−0.143873 + 0.989596i \(0.545956\pi\)
\(62\) 0.256917 0.154186i 0.0326285 0.0195816i
\(63\) 0.174523 1.21383i 0.0219878 0.152928i
\(64\) −7.40797 + 3.02026i −0.925996 + 0.377532i
\(65\) 0.563187 0.0809741i 0.0698548 0.0100436i
\(66\) 1.03802 1.12620i 0.127771 0.138625i
\(67\) −0.305184 0.264444i −0.0372842 0.0323069i 0.636019 0.771673i \(-0.280580\pi\)
−0.673304 + 0.739366i \(0.735125\pi\)
\(68\) 3.66848 + 6.56078i 0.444868 + 0.795612i
\(69\) −2.18398 + 4.26969i −0.262921 + 0.514010i
\(70\) −0.346549 1.32986i −0.0414205 0.158949i
\(71\) −6.97647 6.04514i −0.827955 0.717427i 0.133898 0.990995i \(-0.457251\pi\)
−0.961853 + 0.273568i \(0.911796\pi\)
\(72\) 2.75080 + 0.658123i 0.324184 + 0.0775605i
\(73\) 0.454572 + 3.16162i 0.0532037 + 0.370040i 0.998977 + 0.0452134i \(0.0143968\pi\)
−0.945774 + 0.324826i \(0.894694\pi\)
\(74\) −2.67043 + 2.17418i −0.310432 + 0.252743i
\(75\) 0.622210 4.32757i 0.0718466 0.499704i
\(76\) 2.89199 + 2.83448i 0.331734 + 0.325137i
\(77\) 0.718027 1.11727i 0.0818268 0.127325i
\(78\) −0.175274 + 1.00020i −0.0198459 + 0.113250i
\(79\) 7.57011 + 2.22279i 0.851704 + 0.250083i 0.678316 0.734771i \(-0.262710\pi\)
0.173389 + 0.984854i \(0.444528\pi\)
\(80\) 3.12773 0.514020i 0.349691 0.0574692i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) −0.153059 + 4.98762i −0.0169025 + 0.550791i
\(83\) −15.0430 6.86992i −1.65119 0.754072i −0.651199 0.758907i \(-0.725734\pi\)
−0.999988 + 0.00483442i \(0.998461\pi\)
\(84\) 2.44801 + 0.150389i 0.267100 + 0.0164088i
\(85\) −0.839061 2.85758i −0.0910090 0.309948i
\(86\) −0.917928 8.15256i −0.0989827 0.879113i
\(87\) −8.50734 + 3.88517i −0.912082 + 0.416534i
\(88\) 2.41382 + 1.88591i 0.257314 + 0.201039i
\(89\) 3.02408 + 4.70556i 0.320552 + 0.498788i 0.963712 0.266943i \(-0.0860136\pi\)
−0.643161 + 0.765731i \(0.722377\pi\)
\(90\) −1.00462 0.496585i −0.105897 0.0523446i
\(91\) 0.880524i 0.0923040i
\(92\) −8.86642 3.65878i −0.924388 0.381454i
\(93\) 0.211872i 0.0219701i
\(94\) 3.04373 6.15765i 0.313936 0.635113i
\(95\) −0.867419 1.34973i −0.0889953 0.138479i
\(96\) −0.864309 + 5.59044i −0.0882131 + 0.570571i
\(97\) −1.75430 + 0.801163i −0.178122 + 0.0813457i −0.502480 0.864589i \(-0.667579\pi\)
0.324358 + 0.945934i \(0.394852\pi\)
\(98\) −7.72393 + 0.869667i −0.780235 + 0.0878496i
\(99\) −0.305118 1.03914i −0.0306655 0.104437i
\(100\) 8.72768 + 0.536170i 0.872768 + 0.0536170i
\(101\) −4.10052 1.87265i −0.408017 0.186335i 0.200824 0.979627i \(-0.435638\pi\)
−0.608841 + 0.793292i \(0.708365\pi\)
\(102\) 5.31265 + 0.163033i 0.526030 + 0.0161427i
\(103\) 1.16378 + 1.34308i 0.114671 + 0.132337i 0.810183 0.586177i \(-0.199368\pi\)
−0.695512 + 0.718515i \(0.744822\pi\)
\(104\) −2.02229 0.186647i −0.198302 0.0183022i
\(105\) −0.932394 0.273775i −0.0909923 0.0267177i
\(106\) −2.54515 0.446010i −0.247207 0.0433203i
\(107\) 8.38133 13.0416i 0.810253 1.26078i −0.151934 0.988391i \(-0.548550\pi\)
0.962187 0.272388i \(-0.0878135\pi\)
\(108\) 1.39994 1.42835i 0.134709 0.137443i
\(109\) 0.689750 4.79731i 0.0660660 0.459499i −0.929755 0.368178i \(-0.879982\pi\)
0.995821 0.0913216i \(-0.0291091\pi\)
\(110\) −0.766279 0.941180i −0.0730618 0.0897380i
\(111\) 0.346534 + 2.41020i 0.0328916 + 0.228766i
\(112\) 0.0985267 + 4.90426i 0.00930990 + 0.463409i
\(113\) 9.26063 + 8.02438i 0.871167 + 0.754870i 0.970733 0.240161i \(-0.0772001\pi\)
−0.0995664 + 0.995031i \(0.531746\pi\)
\(114\) 2.77084 0.722056i 0.259513 0.0676268i
\(115\) 3.10266 + 2.19453i 0.289324 + 0.204641i
\(116\) −9.12879 16.3261i −0.847587 1.51584i
\(117\) 0.542647 + 0.470207i 0.0501678 + 0.0434706i
\(118\) −9.23509 8.51200i −0.850159 0.783593i
\(119\) 4.56203 0.655921i 0.418201 0.0601282i
\(120\) 0.826419 2.08338i 0.0754413 0.190186i
\(121\) −1.39854 + 9.72707i −0.127140 + 0.884279i
\(122\) 4.70595 + 7.84145i 0.426056 + 0.709931i
\(123\) 2.96832 + 1.90762i 0.267644 + 0.172004i
\(124\) 0.422340 0.0344731i 0.0379273 0.00309578i
\(125\) −7.12580 2.09232i −0.637351 0.187143i
\(126\) 0.981926 1.42951i 0.0874769 0.127351i
\(127\) 6.26945 5.43251i 0.556324 0.482057i −0.330729 0.943726i \(-0.607295\pi\)
0.887052 + 0.461669i \(0.152749\pi\)
\(128\) −11.2844 0.813285i −0.997413 0.0718849i
\(129\) −5.27692 2.40989i −0.464607 0.212179i
\(130\) 0.764746 + 0.250273i 0.0670727 + 0.0219504i
\(131\) −12.5325 + 3.67987i −1.09497 + 0.321512i −0.778852 0.627208i \(-0.784197\pi\)
−0.316117 + 0.948720i \(0.602379\pi\)
\(132\) 2.02174 0.777288i 0.175970 0.0676542i
\(133\) 2.25856 1.03145i 0.195842 0.0894379i
\(134\) −0.221191 0.526507i −0.0191080 0.0454833i
\(135\) −0.666627 + 0.428415i −0.0573741 + 0.0368721i
\(136\) 0.539419 + 10.6166i 0.0462548 + 0.910366i
\(137\) 13.3514i 1.14069i 0.821405 + 0.570345i \(0.193191\pi\)
−0.821405 + 0.570345i \(0.806809\pi\)
\(138\) −5.44450 + 4.04443i −0.463467 + 0.344284i
\(139\) 3.51012 0.297724 0.148862 0.988858i \(-0.452439\pi\)
0.148862 + 0.988858i \(0.452439\pi\)
\(140\) 0.394029 1.90315i 0.0333015 0.160846i
\(141\) −2.62589 4.08597i −0.221140 0.344101i
\(142\) −5.05639 12.0359i −0.424323 1.01003i
\(143\) 0.323037 + 0.707353i 0.0270137 + 0.0591518i
\(144\) 3.07500 + 2.55819i 0.256250 + 0.213183i
\(145\) 2.08796 + 7.11092i 0.173395 + 0.590530i
\(146\) −1.40498 + 4.29313i −0.116277 + 0.355302i
\(147\) −2.28319 + 4.99948i −0.188314 + 0.412350i
\(148\) −4.74803 + 1.08293i −0.390286 + 0.0890160i
\(149\) 7.10156 + 8.19563i 0.581782 + 0.671412i 0.967987 0.251001i \(-0.0807597\pi\)
−0.386205 + 0.922413i \(0.626214\pi\)
\(150\) 3.50078 5.09652i 0.285837 0.416129i
\(151\) 3.41312 11.6240i 0.277756 0.945949i −0.695941 0.718099i \(-0.745012\pi\)
0.973696 0.227850i \(-0.0731694\pi\)
\(152\) 1.89016 + 5.40584i 0.153312 + 0.438471i
\(153\) 2.03193 3.16175i 0.164272 0.255612i
\(154\) 1.61046 0.966500i 0.129775 0.0778828i
\(155\) −0.166183 0.0238935i −0.0133482 0.00191918i
\(156\) −0.849004 + 1.15820i −0.0679747 + 0.0927305i
\(157\) −0.883038 6.14166i −0.0704741 0.490158i −0.994238 0.107196i \(-0.965813\pi\)
0.923764 0.382963i \(-0.125096\pi\)
\(158\) 8.20435 + 7.56197i 0.652703 + 0.601598i
\(159\) −1.19651 + 1.38084i −0.0948892 + 0.109508i
\(160\) 4.28742 + 1.30838i 0.338950 + 0.103436i
\(161\) −4.04490 + 4.26933i −0.318783 + 0.336470i
\(162\) −0.356621 1.36851i −0.0280188 0.107520i
\(163\) 2.67450 3.08654i 0.209483 0.241756i −0.641279 0.767308i \(-0.721596\pi\)
0.850762 + 0.525552i \(0.176141\pi\)
\(164\) −3.31963 + 6.22734i −0.259219 + 0.486273i
\(165\) −0.849462 + 0.122134i −0.0661305 + 0.00950813i
\(166\) −14.7662 18.1366i −1.14608 1.40767i
\(167\) −7.58484 1.09054i −0.586933 0.0843882i −0.157550 0.987511i \(-0.550360\pi\)
−0.429382 + 0.903123i \(0.641269\pi\)
\(168\) 3.00932 + 1.72475i 0.232174 + 0.133067i
\(169\) 10.5026 + 6.74960i 0.807891 + 0.519200i
\(170\) 0.727001 4.14862i 0.0557584 0.318185i
\(171\) 0.570428 1.94270i 0.0436217 0.148562i
\(172\) 3.94521 10.9110i 0.300819 0.831953i
\(173\) −7.32344 + 6.34579i −0.556791 + 0.482462i −0.887206 0.461374i \(-0.847357\pi\)
0.330415 + 0.943836i \(0.392811\pi\)
\(174\) −13.2202 0.405698i −1.00222 0.0307559i
\(175\) 2.22726 4.87701i 0.168365 0.368668i
\(176\) 1.87837 + 3.90360i 0.141588 + 0.294245i
\(177\) −8.52117 + 2.50204i −0.640490 + 0.188065i
\(178\) 0.885071 + 7.86074i 0.0663389 + 0.589188i
\(179\) −8.26511 18.0981i −0.617763 1.35271i −0.917135 0.398576i \(-0.869505\pi\)
0.299372 0.954136i \(-0.403223\pi\)
\(180\) −0.962455 1.25913i −0.0717372 0.0938499i
\(181\) 8.47718 5.44795i 0.630104 0.404943i −0.186244 0.982503i \(-0.559632\pi\)
0.816348 + 0.577560i \(0.195995\pi\)
\(182\) −0.551796 + 1.11632i −0.0409018 + 0.0827470i
\(183\) 6.46661 0.478026
\(184\) −8.94790 10.1949i −0.659648 0.751575i
\(185\) 1.92953 0.141862
\(186\) 0.132774 0.268609i 0.00973543 0.0196954i
\(187\) 3.42419 2.20059i 0.250402 0.160923i
\(188\) 7.71760 5.89920i 0.562864 0.430243i
\(189\) −0.509429 1.11549i −0.0370555 0.0811402i
\(190\) −0.253872 2.25476i −0.0184178 0.163577i
\(191\) 8.98161 2.63724i 0.649887 0.190824i 0.0598588 0.998207i \(-0.480935\pi\)
0.590028 + 0.807383i \(0.299117\pi\)
\(192\) −4.59911 + 6.54586i −0.331912 + 0.472406i
\(193\) 1.41062 3.08883i 0.101539 0.222339i −0.852044 0.523470i \(-0.824637\pi\)
0.953583 + 0.301131i \(0.0973643\pi\)
\(194\) −2.72615 0.0836592i −0.195726 0.00600638i
\(195\) 0.430005 0.372602i 0.0307933 0.0266826i
\(196\) −10.3373 3.73779i −0.738379 0.266985i
\(197\) 1.08362 3.69046i 0.0772045 0.262934i −0.911841 0.410543i \(-0.865339\pi\)
0.989046 + 0.147608i \(0.0471575\pi\)
\(198\) 0.264368 1.50861i 0.0187878 0.107212i
\(199\) 9.72639 + 6.25077i 0.689486 + 0.443106i 0.837903 0.545819i \(-0.183781\pi\)
−0.148417 + 0.988925i \(0.547418\pi\)
\(200\) 10.7289 + 6.14911i 0.758645 + 0.434808i
\(201\) −0.399706 0.0574691i −0.0281931 0.00405356i
\(202\) −4.02507 4.94378i −0.283203 0.347843i
\(203\) −11.3524 + 1.63222i −0.796779 + 0.114560i
\(204\) 6.63315 + 3.53596i 0.464413 + 0.247566i
\(205\) 1.83100 2.11309i 0.127883 0.147584i
\(206\) 0.633768 + 2.43204i 0.0441567 + 0.169449i
\(207\) 0.471082 + 4.77264i 0.0327425 + 0.331721i
\(208\) −2.44687 1.50393i −0.169660 0.104279i
\(209\) 1.43596 1.65719i 0.0993277 0.114630i
\(210\) −1.01051 0.931390i −0.0697319 0.0642720i
\(211\) 0.0559002 + 0.388794i 0.00384833 + 0.0267657i 0.991655 0.128919i \(-0.0411507\pi\)
−0.987807 + 0.155685i \(0.950242\pi\)
\(212\) −2.94721 2.16041i −0.202415 0.148377i
\(213\) −9.13723 1.31374i −0.626073 0.0900157i
\(214\) 18.7985 11.2817i 1.28504 0.771200i
\(215\) −2.48530 + 3.86721i −0.169496 + 0.263741i
\(216\) 2.66992 0.933544i 0.181665 0.0635196i
\(217\) 0.0732002 0.249297i 0.00496916 0.0169234i
\(218\) 3.88078 5.64974i 0.262840 0.382648i
\(219\) 2.09171 + 2.41396i 0.141345 + 0.163121i
\(220\) −0.381672 1.67342i −0.0257323 0.112822i
\(221\) −1.12104 + 2.45474i −0.0754095 + 0.165124i
\(222\) −1.07106 + 3.27278i −0.0718849 + 0.219655i
\(223\) 3.39096 + 11.5485i 0.227075 + 0.773347i 0.991666 + 0.128832i \(0.0411227\pi\)
−0.764591 + 0.644516i \(0.777059\pi\)
\(224\) −2.94843 + 6.27931i −0.197000 + 0.419554i
\(225\) −1.81622 3.97697i −0.121082 0.265132i
\(226\) 6.71190 + 15.9766i 0.446469 + 1.06274i
\(227\) 8.26381 + 12.8587i 0.548489 + 0.853465i 0.999232 0.0391888i \(-0.0124774\pi\)
−0.450743 + 0.892654i \(0.648841\pi\)
\(228\) 3.96533 + 0.820984i 0.262611 + 0.0543710i
\(229\) 23.0068 1.52034 0.760168 0.649727i \(-0.225117\pi\)
0.760168 + 0.649727i \(0.225117\pi\)
\(230\) 2.55827 + 4.72653i 0.168688 + 0.311658i
\(231\) 1.32810i 0.0873828i
\(232\) −1.34231 26.4188i −0.0881273 1.73448i
\(233\) 11.6373 7.47884i 0.762385 0.489955i −0.100761 0.994911i \(-0.532128\pi\)
0.863145 + 0.504956i \(0.168491\pi\)
\(234\) 0.393299 + 0.936182i 0.0257107 + 0.0612001i
\(235\) −3.50099 + 1.59885i −0.228379 + 0.104297i
\(236\) −6.37395 16.5787i −0.414909 1.07918i
\(237\) 7.57011 2.22279i 0.491732 0.144385i
\(238\) 6.19474 + 2.02731i 0.401545 + 0.131411i
\(239\) 21.3811 + 9.76442i 1.38303 + 0.631608i 0.961398 0.275161i \(-0.0887311\pi\)
0.421629 + 0.906768i \(0.361458\pi\)
\(240\) 2.35331 2.12340i 0.151906 0.137065i
\(241\) −4.72767 + 4.09655i −0.304536 + 0.263882i −0.793699 0.608310i \(-0.791848\pi\)
0.489163 + 0.872192i \(0.337302\pi\)
\(242\) −7.86870 + 11.4555i −0.505819 + 0.736384i
\(243\) −0.959493 0.281733i −0.0615515 0.0180732i
\(244\) 1.05216 + 12.8904i 0.0673578 + 0.825221i
\(245\) 3.66389 + 2.35464i 0.234077 + 0.150432i
\(246\) 2.56775 + 4.27861i 0.163714 + 0.272794i
\(247\) −0.206897 + 1.43900i −0.0131645 + 0.0915613i
\(248\) 0.557041 + 0.220962i 0.0353721 + 0.0140311i
\(249\) −16.3692 + 2.35353i −1.03735 + 0.149149i
\(250\) −7.72281 7.11813i −0.488434 0.450190i
\(251\) −7.52382 6.51942i −0.474899 0.411502i 0.384249 0.923230i \(-0.374460\pi\)
−0.859148 + 0.511727i \(0.829006\pi\)
\(252\) 2.14070 1.19698i 0.134852 0.0754026i
\(253\) −1.68311 + 4.91364i −0.105817 + 0.308918i
\(254\) 11.3527 2.95841i 0.712333 0.185627i
\(255\) −2.25079 1.95032i −0.140950 0.122134i
\(256\) −13.7966 8.10267i −0.862289 0.506417i
\(257\) 1.15541 + 8.03604i 0.0720724 + 0.501274i 0.993599 + 0.112960i \(0.0360333\pi\)
−0.921527 + 0.388314i \(0.873058\pi\)
\(258\) −5.17982 6.36210i −0.322481 0.396087i
\(259\) −0.424959 + 2.95566i −0.0264057 + 0.183655i
\(260\) 0.812698 + 0.796535i 0.0504014 + 0.0493990i
\(261\) −5.05635 + 7.86783i −0.312980 + 0.487006i
\(262\) −18.1946 3.18841i −1.12407 0.196981i
\(263\) −8.56655 2.51537i −0.528236 0.155104i 0.00673045 0.999977i \(-0.497858\pi\)
−0.534967 + 0.844873i \(0.679676\pi\)
\(264\) 3.05024 + 0.281522i 0.187729 + 0.0173265i
\(265\) 0.948137 + 1.09421i 0.0582436 + 0.0672167i
\(266\) 3.50975 + 0.107706i 0.215196 + 0.00660389i
\(267\) 5.08803 + 2.32363i 0.311383 + 0.142204i
\(268\) 0.0495222 0.806113i 0.00302505 0.0492412i
\(269\) 5.66232 + 19.2841i 0.345237 + 1.17577i 0.930918 + 0.365229i \(0.119009\pi\)
−0.585680 + 0.810542i \(0.699173\pi\)
\(270\) −1.11362 + 0.125386i −0.0677725 + 0.00763077i
\(271\) 2.40525 1.09844i 0.146108 0.0667255i −0.341019 0.940056i \(-0.610772\pi\)
0.487127 + 0.873331i \(0.338045\pi\)
\(272\) −5.96921 + 13.7976i −0.361937 + 0.836605i
\(273\) 0.476047 + 0.740744i 0.0288117 + 0.0448319i
\(274\) −8.36692 + 16.9268i −0.505464 + 1.02259i
\(275\) 4.73497i 0.285530i
\(276\) −9.43699 + 1.71558i −0.568040 + 0.103266i
\(277\) 10.9580i 0.658402i 0.944260 + 0.329201i \(0.106779\pi\)
−0.944260 + 0.329201i \(0.893221\pi\)
\(278\) 4.45009 + 2.19968i 0.266899 + 0.131928i
\(279\) −0.114547 0.178238i −0.00685774 0.0106708i
\(280\) 1.69219 2.16587i 0.101128 0.129435i
\(281\) 13.6616 6.23905i 0.814983 0.372190i 0.0360912 0.999349i \(-0.488509\pi\)
0.778892 + 0.627158i \(0.215782\pi\)
\(282\) −0.768533 6.82571i −0.0457655 0.406465i
\(283\) 6.57574 + 22.3949i 0.390887 + 1.33124i 0.886513 + 0.462703i \(0.153120\pi\)
−0.495626 + 0.868536i \(0.665061\pi\)
\(284\) 1.13207 18.4276i 0.0671760 1.09348i
\(285\) −1.45944 0.666503i −0.0864497 0.0394803i
\(286\) −0.0337323 + 1.09921i −0.00199463 + 0.0649977i
\(287\) 2.83357 + 3.27011i 0.167260 + 0.193028i
\(288\) 2.29531 + 5.17025i 0.135253 + 0.304660i
\(289\) −2.75816 0.809869i −0.162245 0.0476393i
\(290\) −1.80910 + 10.3236i −0.106234 + 0.606223i
\(291\) −1.04267 + 1.62243i −0.0611225 + 0.0951084i
\(292\) −4.47159 + 4.56233i −0.261680 + 0.266990i
\(293\) −3.66571 + 25.4956i −0.214153 + 1.48947i 0.544935 + 0.838478i \(0.316554\pi\)
−0.759088 + 0.650988i \(0.774355\pi\)
\(294\) −6.02761 + 4.90748i −0.351537 + 0.286210i
\(295\) 1.00153 + 6.96579i 0.0583113 + 0.405564i
\(296\) −6.69814 1.60252i −0.389321 0.0931444i
\(297\) −0.818481 0.709218i −0.0474931 0.0411530i
\(298\) 3.86733 + 14.8406i 0.224029 + 0.859695i
\(299\) −0.822502 3.34386i −0.0475665 0.193380i
\(300\) 7.63207 4.26749i 0.440638 0.246383i
\(301\) −5.37643 4.65870i −0.309892 0.268523i
\(302\) 11.6115 12.5979i 0.668167 0.724928i
\(303\) −4.46201 + 0.641540i −0.256336 + 0.0368555i
\(304\) −0.991338 + 8.03796i −0.0568571 + 0.461009i
\(305\) 0.729261 5.07213i 0.0417574 0.290429i
\(306\) 4.55743 2.73508i 0.260531 0.156354i
\(307\) 24.5635 + 15.7860i 1.40191 + 0.900954i 0.999892 0.0146777i \(-0.00467223\pi\)
0.402019 + 0.915631i \(0.368309\pi\)
\(308\) 2.64740 0.216092i 0.150850 0.0123130i
\(309\) 1.70516 + 0.500680i 0.0970031 + 0.0284827i
\(310\) −0.195712 0.134434i −0.0111157 0.00763532i
\(311\) −3.84250 + 3.32954i −0.217888 + 0.188801i −0.756965 0.653455i \(-0.773319\pi\)
0.539077 + 0.842257i \(0.318773\pi\)
\(312\) −1.80217 + 0.936314i −0.102028 + 0.0530083i
\(313\) −31.9670 14.5989i −1.80688 0.825176i −0.951822 0.306650i \(-0.900792\pi\)
−0.855062 0.518526i \(-0.826481\pi\)
\(314\) 2.72928 8.33970i 0.154022 0.470637i
\(315\) −0.932394 + 0.273775i −0.0525344 + 0.0154255i
\(316\) 5.66255 + 14.7284i 0.318543 + 0.828536i
\(317\) 22.4505 10.2528i 1.26095 0.575855i 0.331027 0.943621i \(-0.392605\pi\)
0.929918 + 0.367767i \(0.119877\pi\)
\(318\) −2.38225 + 1.00080i −0.133590 + 0.0561223i
\(319\) −8.52090 + 5.47605i −0.477079 + 0.306600i
\(320\) 4.61562 + 4.34553i 0.258021 + 0.242923i
\(321\) 15.5026i 0.865270i
\(322\) −7.80353 + 2.87779i −0.434874 + 0.160373i
\(323\) 7.60964 0.423412
\(324\) 0.405481 1.95846i 0.0225267 0.108804i
\(325\) 1.69721 + 2.64091i 0.0941443 + 0.146491i
\(326\) 5.32493 2.23705i 0.294921 0.123899i
\(327\) −2.01337 4.40867i −0.111340 0.243800i
\(328\) −8.11106 + 5.81464i −0.447858 + 0.321060i
\(329\) −1.67806 5.71494i −0.0925143 0.315075i
\(330\) −1.15348 0.377490i −0.0634967 0.0207801i
\(331\) −2.21216 + 4.84395i −0.121591 + 0.266247i −0.960634 0.277819i \(-0.910389\pi\)
0.839042 + 0.544066i \(0.183116\pi\)
\(332\) −7.35484 32.2469i −0.403649 1.76978i
\(333\) 1.59457 + 1.84024i 0.0873821 + 0.100844i
\(334\) −8.93257 6.13575i −0.488769 0.335733i
\(335\) −0.0901524 + 0.307031i −0.00492555 + 0.0167749i
\(336\) 2.73433 + 4.07246i 0.149170 + 0.222171i
\(337\) 15.7788 24.5523i 0.859525 1.33745i −0.0806453 0.996743i \(-0.525698\pi\)
0.940170 0.340704i \(-0.110666\pi\)
\(338\) 9.08529 + 15.1387i 0.494175 + 0.823436i
\(339\) 12.1288 + 1.74386i 0.658749 + 0.0947137i
\(340\) 3.52149 4.80398i 0.190980 0.260533i
\(341\) −0.0326554 0.227123i −0.00176839 0.0122994i
\(342\) 1.94061 2.10546i 0.104936 0.113850i
\(343\) −10.0352 + 11.5813i −0.541851 + 0.625329i
\(344\) 11.8392 11.3605i 0.638329 0.612515i
\(345\) 3.79657 + 0.168730i 0.204401 + 0.00908413i
\(346\) −13.2613 + 3.45576i −0.712931 + 0.185783i
\(347\) −2.51459 + 2.90199i −0.134990 + 0.155787i −0.819220 0.573480i \(-0.805593\pi\)
0.684230 + 0.729267i \(0.260139\pi\)
\(348\) −16.5062 8.79902i −0.884825 0.471677i
\(349\) 1.01559 0.146020i 0.0543635 0.00781629i −0.115079 0.993356i \(-0.536712\pi\)
0.169443 + 0.985540i \(0.445803\pi\)
\(350\) 5.87996 4.78727i 0.314297 0.255890i
\(351\) 0.710717 + 0.102186i 0.0379353 + 0.00545427i
\(352\) −0.0648822 + 6.12606i −0.00345823 + 0.326520i
\(353\) 17.1846 + 11.0439i 0.914643 + 0.587805i 0.911099 0.412188i \(-0.135235\pi\)
0.00354439 + 0.999994i \(0.498872\pi\)
\(354\) −12.3710 2.16788i −0.657511 0.115222i
\(355\) −2.06087 + 7.01868i −0.109380 + 0.372513i
\(356\) −3.80399 + 10.5204i −0.201611 + 0.557580i
\(357\) 3.48321 3.01822i 0.184351 0.159741i
\(358\) 0.863061 28.1240i 0.0456142 1.48640i
\(359\) 4.77764 10.4616i 0.252154 0.552141i −0.740650 0.671891i \(-0.765482\pi\)
0.992804 + 0.119751i \(0.0382095\pi\)
\(360\) −0.431135 2.19945i −0.0227228 0.115921i
\(361\) −14.2970 + 4.19796i −0.752471 + 0.220945i
\(362\) 14.1613 1.59448i 0.744303 0.0838038i
\(363\) 4.08232 + 8.93904i 0.214266 + 0.469178i
\(364\) −1.39912 + 1.06946i −0.0733339 + 0.0560551i
\(365\) 2.12930 1.36842i 0.111452 0.0716261i
\(366\) 8.19830 + 4.05242i 0.428532 + 0.211823i
\(367\) 30.4558 1.58978 0.794889 0.606755i \(-0.207529\pi\)
0.794889 + 0.606755i \(0.207529\pi\)
\(368\) −4.95526 18.5323i −0.258311 0.966062i
\(369\) 3.52844 0.183683
\(370\) 2.44624 + 1.20917i 0.127174 + 0.0628620i
\(371\) −1.88493 + 1.21137i −0.0978605 + 0.0628911i
\(372\) 0.336657 0.257335i 0.0174549 0.0133422i
\(373\) 0.333737 + 0.730783i 0.0172803 + 0.0378385i 0.918075 0.396406i \(-0.129743\pi\)
−0.900795 + 0.434244i \(0.857015\pi\)
\(374\) 5.72019 0.644058i 0.295784 0.0333034i
\(375\) −7.12580 + 2.09232i −0.367975 + 0.108047i
\(376\) 13.4811 2.64256i 0.695236 0.136280i
\(377\) 2.78965 6.10849i 0.143674 0.314603i
\(378\) 0.0531957 1.73345i 0.00273609 0.0891592i
\(379\) −8.30789 + 7.19883i −0.426748 + 0.369779i −0.841592 0.540113i \(-0.818381\pi\)
0.414845 + 0.909892i \(0.363836\pi\)
\(380\) 1.09113 3.01765i 0.0559737 0.154802i
\(381\) 2.33716 7.95964i 0.119736 0.407785i
\(382\) 13.0395 + 2.28502i 0.667157 + 0.116912i
\(383\) 15.8969 + 10.2163i 0.812291 + 0.522028i 0.879605 0.475704i \(-0.157807\pi\)
−0.0673143 + 0.997732i \(0.521443\pi\)
\(384\) −9.93277 + 5.41665i −0.506880 + 0.276417i
\(385\) −1.04171 0.149775i −0.0530902 0.00763322i
\(386\) 3.72404 3.03199i 0.189549 0.154324i
\(387\) −5.74211 + 0.825591i −0.291888 + 0.0419671i
\(388\) −3.40375 1.81445i −0.172799 0.0921147i
\(389\) 12.8192 14.7942i 0.649961 0.750095i −0.331142 0.943581i \(-0.607434\pi\)
0.981103 + 0.193486i \(0.0619794\pi\)
\(390\) 0.778653 0.202910i 0.0394286 0.0102747i
\(391\) −16.7120 + 6.75233i −0.845161 + 0.341480i
\(392\) −10.7632 11.2168i −0.543622 0.566533i
\(393\) −8.55351 + 9.87128i −0.431468 + 0.497940i
\(394\) 3.68649 3.99966i 0.185723 0.201500i
\(395\) −0.889748 6.18833i −0.0447681 0.311369i
\(396\) 1.28056 1.74693i 0.0643506 0.0877866i
\(397\) −15.4285 2.21828i −0.774333 0.111332i −0.256190 0.966626i \(-0.582467\pi\)
−0.518143 + 0.855294i \(0.673376\pi\)
\(398\) 8.41385 + 14.0199i 0.421748 + 0.702753i
\(399\) 1.34238 2.08878i 0.0672028 0.104570i
\(400\) 9.74847 + 14.5192i 0.487424 + 0.725960i
\(401\) 1.56262 5.32179i 0.0780334 0.265757i −0.911231 0.411896i \(-0.864867\pi\)
0.989264 + 0.146139i \(0.0466847\pi\)
\(402\) −0.470729 0.323342i −0.0234778 0.0161268i
\(403\) 0.0996238 + 0.114972i 0.00496261 + 0.00572716i
\(404\) −2.00483 8.79005i −0.0997439 0.437322i
\(405\) −0.329184 + 0.720812i −0.0163573 + 0.0358174i
\(406\) −15.4153 5.04484i −0.765046 0.250371i
\(407\) 0.742957 + 2.53028i 0.0368270 + 0.125421i
\(408\) 6.19356 + 8.63962i 0.306627 + 0.427725i
\(409\) 0.997573 + 2.18438i 0.0493268 + 0.108011i 0.932691 0.360677i \(-0.117454\pi\)
−0.883364 + 0.468688i \(0.844727\pi\)
\(410\) 3.64552 1.53152i 0.180040 0.0756363i
\(411\) 7.21834 + 11.2320i 0.356054 + 0.554031i
\(412\) −0.720599 + 3.48048i −0.0355014 + 0.171471i
\(413\) −10.8908 −0.535900
\(414\) −2.39363 + 6.34591i −0.117640 + 0.311884i
\(415\) 13.1047i 0.643283i
\(416\) −2.15965 3.44004i −0.105885 0.168662i
\(417\) 2.95290 1.89771i 0.144604 0.0929314i
\(418\) 2.85901 1.20110i 0.139839 0.0587475i
\(419\) −4.00040 + 1.82692i −0.195432 + 0.0892509i −0.510727 0.859743i \(-0.670624\pi\)
0.315295 + 0.948994i \(0.397897\pi\)
\(420\) −0.697443 1.81406i −0.0340317 0.0885171i
\(421\) 36.1909 10.6266i 1.76383 0.517909i 0.770940 0.636908i \(-0.219787\pi\)
0.992894 + 0.118999i \(0.0379686\pi\)
\(422\) −0.172775 + 0.527940i −0.00841057 + 0.0256997i
\(423\) −4.41809 2.01767i −0.214815 0.0981026i
\(424\) −2.38258 4.58586i −0.115708 0.222709i
\(425\) 12.4184 10.7606i 0.602380 0.521965i
\(426\) −10.7608 7.39155i −0.521363 0.358122i
\(427\) 7.60887 + 2.23416i 0.368219 + 0.108119i
\(428\) 30.9024 2.52238i 1.49372 0.121924i
\(429\) 0.654180 + 0.420416i 0.0315841 + 0.0202979i
\(430\) −5.57430 + 3.34534i −0.268816 + 0.161327i
\(431\) 3.76403 26.1794i 0.181307 1.26102i −0.672371 0.740215i \(-0.734724\pi\)
0.853677 0.520802i \(-0.174367\pi\)
\(432\) 3.96992 + 0.489618i 0.191003 + 0.0235568i
\(433\) −30.9396 + 4.44844i −1.48686 + 0.213779i −0.837390 0.546606i \(-0.815919\pi\)
−0.649473 + 0.760385i \(0.725010\pi\)
\(434\) 0.249029 0.270184i 0.0119538 0.0129692i
\(435\) 5.60095 + 4.85325i 0.268545 + 0.232696i
\(436\) 8.46051 4.73071i 0.405185 0.226560i
\(437\) −7.61356 + 6.02673i −0.364206 + 0.288298i
\(438\) 1.13910 + 4.37120i 0.0544281 + 0.208864i
\(439\) −29.3153 25.4018i −1.39914 1.21236i −0.947334 0.320247i \(-0.896234\pi\)
−0.451807 0.892115i \(-0.649221\pi\)
\(440\) 0.564799 2.36072i 0.0269257 0.112543i
\(441\) 0.782185 + 5.44021i 0.0372469 + 0.259058i
\(442\) −2.95955 + 2.40957i −0.140772 + 0.114612i
\(443\) −0.673544 + 4.68460i −0.0320010 + 0.222572i −0.999546 0.0301264i \(-0.990409\pi\)
0.967545 + 0.252699i \(0.0813181\pi\)
\(444\) −3.40882 + 3.47800i −0.161776 + 0.165058i
\(445\) 2.39634 3.72878i 0.113598 0.176761i
\(446\) −2.93808 + 16.7661i −0.139122 + 0.793898i
\(447\) 10.4051 + 3.05521i 0.492144 + 0.144507i
\(448\) −7.67303 + 6.11315i −0.362516 + 0.288819i
\(449\) 2.46792 + 2.84814i 0.116469 + 0.134412i 0.810990 0.585060i \(-0.198929\pi\)
−0.694521 + 0.719472i \(0.744384\pi\)
\(450\) 0.189654 6.18013i 0.00894038 0.291334i
\(451\) 3.47600 + 1.58744i 0.163678 + 0.0747494i
\(452\) −1.50272 + 24.4610i −0.0706821 + 1.15055i
\(453\) −3.41312 11.6240i −0.160362 0.546144i
\(454\) 2.41861 + 21.4808i 0.113511 + 1.00815i
\(455\) 0.634692 0.289854i 0.0297548 0.0135886i
\(456\) 4.51272 + 3.52578i 0.211328 + 0.165110i
\(457\) −23.1024 35.9480i −1.08068 1.68158i −0.568310 0.822814i \(-0.692403\pi\)
−0.512374 0.858763i \(-0.671234\pi\)
\(458\) 29.1678 + 14.4176i 1.36292 + 0.673692i
\(459\) 3.75838i 0.175426i
\(460\) 0.281387 + 7.59543i 0.0131197 + 0.354139i
\(461\) 30.6187i 1.42606i −0.701136 0.713028i \(-0.747323\pi\)
0.701136 0.713028i \(-0.252677\pi\)
\(462\) 0.832280 1.68375i 0.0387212 0.0783354i
\(463\) −18.5472 28.8601i −0.861963 1.34124i −0.938895 0.344205i \(-0.888149\pi\)
0.0769311 0.997036i \(-0.475488\pi\)
\(464\) 14.8540 34.3346i 0.689581 1.59395i
\(465\) −0.152720 + 0.0697449i −0.00708222 + 0.00323434i
\(466\) 19.4404 2.18887i 0.900558 0.101397i
\(467\) 3.93627 + 13.4057i 0.182149 + 0.620342i 0.999051 + 0.0435652i \(0.0138716\pi\)
−0.816902 + 0.576777i \(0.804310\pi\)
\(468\) −0.0880553 + 1.43335i −0.00407036 + 0.0662566i
\(469\) −0.450455 0.205716i −0.0208001 0.00949907i
\(470\) −5.44046 0.166955i −0.250949 0.00770107i
\(471\) −4.06329 4.68929i −0.187227 0.216071i
\(472\) 2.30855 25.0127i 0.106259 1.15130i
\(473\) −6.02819 1.77004i −0.277177 0.0813864i
\(474\) 10.9902 + 1.92592i 0.504799 + 0.0884606i
\(475\) 4.78586 7.44694i 0.219590 0.341689i
\(476\) 6.58317 + 6.45224i 0.301739 + 0.295738i
\(477\) −0.260026 + 1.80852i −0.0119058 + 0.0828064i
\(478\) 20.9877 + 25.7780i 0.959953 + 1.17906i
\(479\) 0.361071 + 2.51130i 0.0164977 + 0.114744i 0.996406 0.0847034i \(-0.0269943\pi\)
−0.979908 + 0.199448i \(0.936085\pi\)
\(480\) 4.31417 1.21728i 0.196914 0.0555608i
\(481\) −1.32134 1.14494i −0.0602478 0.0522050i
\(482\) −8.56086 + 2.23088i −0.389937 + 0.101614i
\(483\) −1.09462 + 5.77843i −0.0498068 + 0.262927i
\(484\) −17.1546 + 9.59203i −0.779755 + 0.436001i
\(485\) 1.15497 + 1.00079i 0.0524447 + 0.0454436i
\(486\) −1.03988 0.958460i −0.0471700 0.0434767i
\(487\) −35.8702 + 5.15736i −1.62544 + 0.233702i −0.893954 0.448159i \(-0.852080\pi\)
−0.731481 + 0.681862i \(0.761171\pi\)
\(488\) −6.74405 + 17.0016i −0.305289 + 0.769626i
\(489\) 0.581224 4.04250i 0.0262839 0.182808i
\(490\) 3.16946 + 5.28122i 0.143182 + 0.238581i
\(491\) 5.64817 + 3.62986i 0.254898 + 0.163813i 0.661850 0.749637i \(-0.269772\pi\)
−0.406951 + 0.913450i \(0.633408\pi\)
\(492\) 0.574102 + 7.03349i 0.0258825 + 0.317094i
\(493\) −33.7264 9.90297i −1.51896 0.446007i
\(494\) −1.16408 + 1.69469i −0.0523743 + 0.0762478i
\(495\) −0.648582 + 0.561999i −0.0291516 + 0.0252600i
\(496\) 0.567740 + 0.629213i 0.0254923 + 0.0282525i
\(497\) −10.2973 4.70263i −0.461899 0.210942i
\(498\) −22.2275 7.27425i −0.996039 0.325967i
\(499\) −13.2007 + 3.87608i −0.590946 + 0.173517i −0.563514 0.826106i \(-0.690551\pi\)
−0.0274315 + 0.999624i \(0.508733\pi\)
\(500\) −5.33019 13.8639i −0.238373 0.620013i
\(501\) −6.97036 + 3.18326i −0.311413 + 0.142218i
\(502\) −5.45310 12.9802i −0.243384 0.579334i
\(503\) −11.6455 + 7.48412i −0.519248 + 0.333700i −0.773874 0.633339i \(-0.781684\pi\)
0.254626 + 0.967040i \(0.418048\pi\)
\(504\) 3.46407 0.176006i 0.154302 0.00783993i
\(505\) 3.57215i 0.158959i
\(506\) −5.21305 + 5.17470i −0.231748 + 0.230044i
\(507\) 12.4844 0.554453
\(508\) 16.2468 + 3.36374i 0.720834 + 0.149242i
\(509\) 9.07393 + 14.1193i 0.402195 + 0.625827i 0.981990 0.188935i \(-0.0605036\pi\)
−0.579795 + 0.814763i \(0.696867\pi\)
\(510\) −1.63132 3.88309i −0.0722361 0.171946i
\(511\) 1.62718 + 3.56303i 0.0719823 + 0.157619i
\(512\) −12.4135 18.9184i −0.548605 0.836081i
\(513\) −0.570428 1.94270i −0.0251850 0.0857723i
\(514\) −3.57111 + 10.9121i −0.157515 + 0.481310i
\(515\) 0.585008 1.28099i 0.0257785 0.0564471i
\(516\) −2.57999 11.3118i −0.113578 0.497975i
\(517\) −3.44467 3.97537i −0.151497 0.174836i
\(518\) −2.39097 + 3.48084i −0.105053 + 0.152939i
\(519\) −2.73007 + 9.29777i −0.119837 + 0.408127i
\(520\) 0.531167 + 1.51913i 0.0232932 + 0.0666183i
\(521\) 14.4157 22.4313i 0.631563 0.982731i −0.367056 0.930199i \(-0.619634\pi\)
0.998619 0.0525324i \(-0.0167293\pi\)
\(522\) −11.3409 + 6.80609i −0.496377 + 0.297895i
\(523\) 6.12699 + 0.880928i 0.267914 + 0.0385203i 0.274963 0.961455i \(-0.411334\pi\)
−0.00704832 + 0.999975i \(0.502244\pi\)
\(524\) −21.0688 15.4442i −0.920396 0.674683i
\(525\) −0.763024 5.30695i −0.0333011 0.231614i
\(526\) −9.28428 8.55733i −0.404814 0.373117i
\(527\) 0.521463 0.601800i 0.0227153 0.0262148i
\(528\) 3.69064 + 2.26840i 0.160614 + 0.0987193i
\(529\) 11.3728 19.9915i 0.494471 0.869194i
\(530\) 0.516332 + 1.98139i 0.0224280 + 0.0860662i
\(531\) −5.81576 + 6.71174i −0.252382 + 0.291265i
\(532\) 4.38212 + 2.33599i 0.189989 + 0.101278i
\(533\) −2.50772 + 0.360556i −0.108622 + 0.0156174i
\(534\) 4.99441 + 6.13437i 0.216129 + 0.265460i
\(535\) −12.1595 1.74828i −0.525703 0.0755846i
\(536\) 0.567949 0.990947i 0.0245316 0.0428024i
\(537\) −16.7376 10.7566i −0.722281 0.464182i
\(538\) −4.90609 + 27.9965i −0.211516 + 1.20702i
\(539\) −1.67698 + 5.71126i −0.0722325 + 0.246001i
\(540\) −1.49041 0.538904i −0.0641368 0.0231907i
\(541\) −33.2915 + 28.8472i −1.43131 + 1.24024i −0.505194 + 0.863006i \(0.668579\pi\)
−0.926118 + 0.377233i \(0.876875\pi\)
\(542\) 3.73770 + 0.114702i 0.160548 + 0.00492685i
\(543\) 4.18607 9.16622i 0.179641 0.393360i
\(544\) −16.2142 + 13.7518i −0.695179 + 0.589603i
\(545\) −3.68502 + 1.08202i −0.157849 + 0.0463486i
\(546\) 0.139327 + 1.23743i 0.00596264 + 0.0529571i
\(547\) −1.36892 2.99751i −0.0585307 0.128164i 0.878107 0.478465i \(-0.158807\pi\)
−0.936637 + 0.350301i \(0.886079\pi\)
\(548\) −21.2150 + 16.2163i −0.906258 + 0.692728i
\(549\) 5.44006 3.49612i 0.232176 0.149211i
\(550\) 2.96726 6.00295i 0.126524 0.255967i
\(551\) −18.9362 −0.806708
\(552\) −13.0392 3.73886i −0.554986 0.159136i
\(553\) 9.67524 0.411433
\(554\) −6.86702 + 13.8924i −0.291752 + 0.590233i
\(555\) 1.62323 1.04318i 0.0689021 0.0442807i
\(556\) 4.26330 + 5.57745i 0.180804 + 0.236537i
\(557\) −14.3561 31.4355i −0.608288 1.33196i −0.923739 0.383023i \(-0.874883\pi\)
0.315451 0.948942i \(-0.397844\pi\)
\(558\) −0.0335249 0.297751i −0.00141922 0.0126048i
\(559\) 3.99665 1.17352i 0.169040 0.0496347i
\(560\) 3.50262 1.68542i 0.148013 0.0712221i
\(561\) 1.69088 3.70251i 0.0713891 0.156320i
\(562\) 21.2298 + 0.651495i 0.895527 + 0.0274817i
\(563\) −6.10910 + 5.29356i −0.257468 + 0.223097i −0.774024 0.633156i \(-0.781759\pi\)
0.516556 + 0.856253i \(0.327214\pi\)
\(564\) 3.30312 9.13517i 0.139086 0.384660i
\(565\) 2.73562 9.31667i 0.115088 0.391955i
\(566\) −5.69752 + 32.5128i −0.239485 + 1.36662i
\(567\) −1.03164 0.662995i −0.0433248 0.0278432i
\(568\) 12.9832 22.6529i 0.544764 0.950495i
\(569\) −11.7704 1.69232i −0.493439 0.0709458i −0.108896 0.994053i \(-0.534732\pi\)
−0.384542 + 0.923107i \(0.625641\pi\)
\(570\) −1.43258 1.75957i −0.0600043 0.0737002i
\(571\) −22.0476 + 3.16996i −0.922662 + 0.132659i −0.587243 0.809410i \(-0.699787\pi\)
−0.335419 + 0.942069i \(0.608878\pi\)
\(572\) −0.731605 + 1.37243i −0.0305900 + 0.0573841i
\(573\) 6.13001 7.07441i 0.256085 0.295538i
\(574\) 1.54309 + 5.92151i 0.0644074 + 0.247159i
\(575\) −3.90254 + 20.6013i −0.162747 + 0.859135i
\(576\) −0.330057 + 7.99319i −0.0137524 + 0.333050i
\(577\) −4.72556 + 5.45359i −0.196728 + 0.227036i −0.845539 0.533913i \(-0.820721\pi\)
0.648812 + 0.760949i \(0.275266\pi\)
\(578\) −2.98924 2.75519i −0.124336 0.114601i
\(579\) −0.483258 3.36113i −0.0200835 0.139684i
\(580\) −8.76302 + 11.9544i −0.363865 + 0.496381i
\(581\) −20.0737 2.88617i −0.832798 0.119738i
\(582\) −2.33861 + 1.40349i −0.0969385 + 0.0581764i
\(583\) −1.06981 + 1.66465i −0.0443069 + 0.0689429i
\(584\) −8.52809 + 2.98186i −0.352895 + 0.123390i
\(585\) 0.160300 0.545931i 0.00662758 0.0225715i
\(586\) −20.6246 + 30.0258i −0.851994 + 1.24035i
\(587\) 15.3480 + 17.7125i 0.633478 + 0.731072i 0.978207 0.207630i \(-0.0665749\pi\)
−0.344730 + 0.938702i \(0.612029\pi\)
\(588\) −10.7171 + 2.44434i −0.441966 + 0.100803i
\(589\) 0.178205 0.390215i 0.00734282 0.0160785i
\(590\) −3.09551 + 9.45877i −0.127440 + 0.389412i
\(591\) −1.08362 3.69046i −0.0445741 0.151805i
\(592\) −7.48757 6.22916i −0.307737 0.256017i
\(593\) −10.3193 22.5962i −0.423764 0.927915i −0.994298 0.106640i \(-0.965991\pi\)
0.570533 0.821274i \(-0.306737\pi\)
\(594\) −0.593217 1.41205i −0.0243400 0.0579373i
\(595\) −1.97454 3.07245i −0.0809484 0.125958i
\(596\) −4.39719 + 21.2383i −0.180116 + 0.869956i
\(597\) 11.5618 0.473192
\(598\) 1.05273 4.75474i 0.0430493 0.194436i
\(599\) 9.03443i 0.369137i −0.982820 0.184568i \(-0.940911\pi\)
0.982820 0.184568i \(-0.0590887\pi\)
\(600\) 12.3501 0.627499i 0.504193 0.0256175i
\(601\) 14.0892 9.05459i 0.574711 0.369345i −0.220767 0.975327i \(-0.570856\pi\)
0.795478 + 0.605982i \(0.207220\pi\)
\(602\) −3.89672 9.27548i −0.158818 0.378040i
\(603\) −0.367324 + 0.167751i −0.0149586 + 0.00683137i
\(604\) 22.6156 8.69492i 0.920217 0.353791i
\(605\) 7.47177 2.19391i 0.303771 0.0891951i
\(606\) −6.05892 1.98286i −0.246127 0.0805482i
\(607\) 19.4972 + 8.90406i 0.791366 + 0.361405i 0.769737 0.638362i \(-0.220388\pi\)
0.0216289 + 0.999766i \(0.493115\pi\)
\(608\) −6.29394 + 9.56919i −0.255253 + 0.388082i
\(609\) −8.66777 + 7.51066i −0.351236 + 0.304347i
\(610\) 4.10309 5.97338i 0.166129 0.241855i
\(611\) 3.34619 + 0.982529i 0.135372 + 0.0397489i
\(612\) 7.49184 0.611514i 0.302840 0.0247190i
\(613\) −38.8795 24.9864i −1.57033 1.00919i −0.979269 0.202563i \(-0.935073\pi\)
−0.591061 0.806627i \(-0.701291\pi\)
\(614\) 21.2487 + 35.4064i 0.857528 + 1.42889i
\(615\) 0.397914 2.76755i 0.0160455 0.111599i
\(616\) 3.49176 + 1.38508i 0.140687 + 0.0558066i
\(617\) −19.0919 + 2.74501i −0.768612 + 0.110510i −0.515457 0.856916i \(-0.672378\pi\)
−0.253156 + 0.967426i \(0.581469\pi\)
\(618\) 1.84802 + 1.70332i 0.0743383 + 0.0685178i
\(619\) −6.92658 6.00192i −0.278403 0.241237i 0.504455 0.863438i \(-0.331693\pi\)
−0.782858 + 0.622200i \(0.786239\pi\)
\(620\) −0.163876 0.293080i −0.00658142 0.0117704i
\(621\) 2.97658 + 3.76031i 0.119446 + 0.150896i
\(622\) −6.95799 + 1.81319i −0.278990 + 0.0727022i
\(623\) 5.18398 + 4.49195i 0.207692 + 0.179966i
\(624\) −2.87152 + 0.0576889i −0.114953 + 0.00230941i
\(625\) −2.27353 15.8127i −0.0909410 0.632509i
\(626\) −31.3788 38.5410i −1.25415 1.54041i
\(627\) 0.312065 2.17046i 0.0124627 0.0866798i
\(628\) 8.68637 8.86263i 0.346624 0.353657i
\(629\) −4.94772 + 7.69880i −0.197278 + 0.306971i
\(630\) −1.35364 0.237212i −0.0539305 0.00945073i
\(631\) −22.6247 6.64321i −0.900675 0.264462i −0.201564 0.979475i \(-0.564603\pi\)
−0.699111 + 0.715013i \(0.746421\pi\)
\(632\) −2.05089 + 22.2210i −0.0815799 + 0.883904i
\(633\) 0.257224 + 0.296853i 0.0102237 + 0.0117988i
\(634\) 34.8876 + 1.07062i 1.38556 + 0.0425198i
\(635\) −5.97962 2.73080i −0.237294 0.108369i
\(636\) −3.64736 0.224069i −0.144627 0.00888492i
\(637\) −1.11182 3.78652i −0.0440521 0.150028i
\(638\) −14.2344 + 1.60270i −0.563544 + 0.0634515i
\(639\) −8.39699 + 3.83478i −0.332180 + 0.151701i
\(640\) 3.12843 + 8.40168i 0.123662 + 0.332105i
\(641\) 19.4329 + 30.2382i 0.767554 + 1.19434i 0.976312 + 0.216370i \(0.0694216\pi\)
−0.208758 + 0.977967i \(0.566942\pi\)
\(642\) 9.71496 19.6540i 0.383419 0.775681i
\(643\) 9.51443i 0.375212i −0.982244 0.187606i \(-0.939927\pi\)
0.982244 0.187606i \(-0.0600729\pi\)
\(644\) −11.6966 1.24179i −0.460912 0.0489332i
\(645\) 4.59696i 0.181005i
\(646\) 9.64742 + 4.76872i 0.379573 + 0.187623i
\(647\) −24.0839 37.4753i −0.946837 1.47331i −0.879681 0.475565i \(-0.842244\pi\)
−0.0671568 0.997742i \(-0.521393\pi\)
\(648\) 1.74137 2.22882i 0.0684075 0.0875562i
\(649\) −8.74891 + 3.99549i −0.343425 + 0.156837i
\(650\) 0.496730 + 4.41170i 0.0194834 + 0.173041i
\(651\) −0.0732002 0.249297i −0.00286894 0.00977072i
\(652\) 8.15278 + 0.500852i 0.319287 + 0.0196149i
\(653\) 6.88201 + 3.14291i 0.269314 + 0.122992i 0.545495 0.838114i \(-0.316342\pi\)
−0.276181 + 0.961106i \(0.589069\pi\)
\(654\) 0.210241 6.85097i 0.00822106 0.267894i
\(655\) 6.77799 + 7.82221i 0.264838 + 0.305639i
\(656\) −13.9270 + 2.28880i −0.543756 + 0.0893625i
\(657\) 3.06475 + 0.899891i 0.119567 + 0.0351081i
\(658\) 1.45395 8.29692i 0.0566807 0.323447i
\(659\) 19.0771 29.6845i 0.743138 1.15635i −0.239515 0.970893i \(-0.576988\pi\)
0.982653 0.185453i \(-0.0593751\pi\)
\(660\) −1.22580 1.20142i −0.0477143 0.0467653i
\(661\) −4.71468 + 32.7913i −0.183380 + 1.27543i 0.665320 + 0.746558i \(0.268295\pi\)
−0.848700 + 0.528875i \(0.822614\pi\)
\(662\) −5.84009 + 4.75481i −0.226982 + 0.184801i
\(663\) 0.384052 + 2.67114i 0.0149154 + 0.103739i
\(664\) 10.8837 45.4913i 0.422370 1.76540i
\(665\) −1.48696 1.28846i −0.0576618 0.0499643i
\(666\) 0.868366 + 3.33230i 0.0336485 + 0.129124i
\(667\) 41.5868 16.8028i 1.61025 0.650606i
\(668\) −7.47954 13.3766i −0.289392 0.517556i
\(669\) 9.09626 + 7.88196i 0.351682 + 0.304734i
\(670\) −0.306700 + 0.332755i −0.0118489 + 0.0128554i
\(671\) 6.93209 0.996685i 0.267611 0.0384766i
\(672\) 0.914473 + 6.87653i 0.0352766 + 0.265268i
\(673\) −0.920904 + 6.40503i −0.0354982 + 0.246896i −0.999842 0.0177558i \(-0.994348\pi\)
0.964344 + 0.264652i \(0.0852569\pi\)
\(674\) 35.3903 21.2390i 1.36318 0.818097i
\(675\) −3.67802 2.36372i −0.141567 0.0909796i
\(676\) 2.03131 + 24.8861i 0.0781271 + 0.957158i
\(677\) −2.73206 0.802205i −0.105002 0.0308313i 0.228810 0.973471i \(-0.426517\pi\)
−0.333811 + 0.942640i \(0.608335\pi\)
\(678\) 14.2840 + 9.81161i 0.548573 + 0.376813i
\(679\) −1.78738 + 1.54878i −0.0685935 + 0.0594366i
\(680\) 7.47500 3.88363i 0.286653 0.148931i
\(681\) 13.9039 + 6.34971i 0.532800 + 0.243321i
\(682\) 0.100931 0.308408i 0.00386484 0.0118096i
\(683\) −14.0711 + 4.13165i −0.538416 + 0.158093i −0.539624 0.841906i \(-0.681434\pi\)
0.00120813 + 0.999999i \(0.499615\pi\)
\(684\) 3.77971 1.45317i 0.144521 0.0555632i
\(685\) 9.62388 4.39508i 0.367710 0.167927i
\(686\) −19.9801 + 8.39384i −0.762845 + 0.320478i
\(687\) 19.3546 12.4384i 0.738424 0.474556i
\(688\) 22.1289 6.98339i 0.843655 0.266239i
\(689\) 1.31192i 0.0499800i
\(690\) 4.70751 + 2.59310i 0.179212 + 0.0987177i
\(691\) −8.11846 −0.308841 −0.154420 0.988005i \(-0.549351\pi\)
−0.154420 + 0.988005i \(0.549351\pi\)
\(692\) −18.9781 3.92923i −0.721439 0.149367i
\(693\) −0.718027 1.11727i −0.0272756 0.0424417i
\(694\) −5.00654 + 2.10330i −0.190046 + 0.0798400i
\(695\) −1.15547 2.53014i −0.0438296 0.0959735i
\(696\) −15.4123 21.4992i −0.584202 0.814925i
\(697\) 3.73612 + 12.7240i 0.141516 + 0.481958i
\(698\) 1.37907 + 0.451317i 0.0521984 + 0.0170826i
\(699\) 5.74655 12.5832i 0.217355 0.475940i
\(700\) 10.4546 2.38447i 0.395146 0.0901244i
\(701\) 22.7833 + 26.2933i 0.860513 + 0.993085i 0.999996 + 0.00286022i \(0.000910436\pi\)
−0.139483 + 0.990224i \(0.544544\pi\)
\(702\) 0.837002 + 0.574933i 0.0315906 + 0.0216995i
\(703\) −1.38898 + 4.73044i −0.0523865 + 0.178412i
\(704\) −3.92126 + 7.72589i −0.147788 + 0.291180i
\(705\) −2.08081 + 3.23781i −0.0783680 + 0.121943i
\(706\) 14.8656 + 24.7703i 0.559474 + 0.932243i
\(707\) −5.47182 0.786729i −0.205789 0.0295880i
\(708\) −14.3253 10.5009i −0.538376 0.394648i
\(709\) −1.09325 7.60372i −0.0410579 0.285564i −0.999998 0.00195544i \(-0.999378\pi\)
0.958940 0.283608i \(-0.0915315\pi\)
\(710\) −7.01113 + 7.60673i −0.263123 + 0.285475i
\(711\) 5.16666 5.96264i 0.193765 0.223616i
\(712\) −11.4155 + 10.9538i −0.427812 + 0.410511i
\(713\) −0.0451140 + 1.01510i −0.00168953 + 0.0380159i
\(714\) 6.30739 1.64365i 0.236048 0.0615120i
\(715\) 0.403530 0.465698i 0.0150912 0.0174161i
\(716\) 18.7186 35.1144i 0.699546 1.31229i
\(717\) 23.2660 3.34514i 0.868883 0.124927i
\(718\) 12.6130 10.2691i 0.470712 0.383238i
\(719\) 30.4308 + 4.37529i 1.13488 + 0.163171i 0.684046 0.729439i \(-0.260219\pi\)
0.450831 + 0.892609i \(0.351128\pi\)
\(720\) 0.831736 3.05861i 0.0309970 0.113988i
\(721\) 1.83338 + 1.17824i 0.0682785 + 0.0438799i
\(722\) −20.7562 3.63731i −0.772467 0.135367i
\(723\) −1.76241 + 6.00221i −0.0655446 + 0.223225i
\(724\) 18.9528 + 6.85298i 0.704374 + 0.254689i
\(725\) −30.9024 + 26.7771i −1.14769 + 0.994477i
\(726\) −0.426285 + 13.8911i −0.0158209 + 0.515546i
\(727\) 10.9409 23.9573i 0.405777 0.888527i −0.590875 0.806763i \(-0.701217\pi\)
0.996652 0.0817642i \(-0.0260554\pi\)
\(728\) −2.44399 + 0.479069i −0.0905802 + 0.0177555i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) 3.55704 0.400500i 0.131652 0.0148232i
\(731\) −9.05727 19.8326i −0.334995 0.733537i
\(732\) 7.85419 + 10.2752i 0.290299 + 0.379783i
\(733\) −32.5617 + 20.9261i −1.20269 + 0.772923i −0.979420 0.201833i \(-0.935310\pi\)
−0.223272 + 0.974756i \(0.571674\pi\)
\(734\) 38.6115 + 19.0856i 1.42518 + 0.704464i
\(735\) 4.35527 0.160647
\(736\) 5.33136 26.6003i 0.196517 0.980500i
\(737\) −0.437335 −0.0161095
\(738\) 4.47332 + 2.21116i 0.164665 + 0.0813940i
\(739\) 44.8817 28.8437i 1.65100 1.06103i 0.721360 0.692560i \(-0.243517\pi\)
0.929639 0.368472i \(-0.120119\pi\)
\(740\) 2.34356 + 3.06596i 0.0861510 + 0.112707i
\(741\) 0.603929 + 1.32242i 0.0221859 + 0.0485803i
\(742\) −3.14881 + 0.354537i −0.115597 + 0.0130155i
\(743\) −32.5642 + 9.56170i −1.19466 + 0.350785i −0.817810 0.575488i \(-0.804812\pi\)
−0.376853 + 0.926273i \(0.622994\pi\)
\(744\) 0.588074 0.115274i 0.0215598 0.00422614i
\(745\) 3.56979 7.81675i 0.130787 0.286384i
\(746\) −0.0348496 + 1.13562i −0.00127593 + 0.0415780i
\(747\) −12.4982 + 10.8298i −0.457285 + 0.396240i
\(748\) 7.65560 + 2.76813i 0.279917 + 0.101213i
\(749\) 5.35602 18.2409i 0.195705 0.666509i
\(750\) −10.3452 1.81288i −0.377753 0.0661971i
\(751\) 28.3178 + 18.1988i 1.03333 + 0.664082i 0.943329 0.331859i \(-0.107676\pi\)
0.0900031 + 0.995941i \(0.471312\pi\)
\(752\) 18.7472 + 5.09798i 0.683641 + 0.185904i
\(753\) −9.85410 1.41681i −0.359103 0.0516313i
\(754\) 7.36468 5.99608i 0.268206 0.218364i
\(755\) −9.50227 + 1.36622i −0.345823 + 0.0497218i
\(756\) 1.15374 2.16431i 0.0419611 0.0787154i
\(757\) 23.9317 27.6186i 0.869811 1.00382i −0.130113 0.991499i \(-0.541534\pi\)
0.999924 0.0123164i \(-0.00392053\pi\)
\(758\) −15.0439 + 3.92031i −0.546420 + 0.142392i
\(759\) 1.24059 + 5.04358i 0.0450305 + 0.183070i
\(760\) 3.27438 3.14196i 0.118774 0.113971i
\(761\) −6.06405 + 6.99829i −0.219822 + 0.253688i −0.854940 0.518727i \(-0.826406\pi\)
0.635118 + 0.772415i \(0.280951\pi\)
\(762\) 7.95107 8.62652i 0.288037 0.312506i
\(763\) −0.845849 5.88301i −0.0306218 0.212979i
\(764\) 15.0993 + 11.0683i 0.546274 + 0.400438i
\(765\) −2.94790 0.423845i −0.106582 0.0153241i
\(766\) 13.7516 + 22.9141i 0.496867 + 0.827921i
\(767\) 3.44751 5.36444i 0.124483 0.193699i
\(768\) −15.9871 + 0.642621i −0.576884 + 0.0231886i
\(769\) 10.4381 35.5490i 0.376409 1.28193i −0.525792 0.850613i \(-0.676231\pi\)
0.902200 0.431317i \(-0.141951\pi\)
\(770\) −1.22680 0.842686i −0.0442109 0.0303683i
\(771\) 5.31660 + 6.13569i 0.191473 + 0.220971i
\(772\) 6.62135 1.51019i 0.238308 0.0543530i
\(773\) 12.0838 26.4598i