Properties

Label 240.2.bl.a.109.18
Level $240$
Weight $2$
Character 240.109
Analytic conductor $1.916$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 240.bl (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.91640964851\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 109.18
Character \(\chi\) \(=\) 240.109
Dual form 240.2.bl.a.229.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.903247 - 1.08818i) q^{2} +(0.707107 - 0.707107i) q^{3} +(-0.368289 - 1.96580i) q^{4} +(-2.09919 - 0.770325i) q^{5} +(-0.130770 - 1.40815i) q^{6} +3.05002 q^{7} +(-2.47181 - 1.37484i) q^{8} -1.00000i q^{9} +O(q^{10})\) \(q+(0.903247 - 1.08818i) q^{2} +(0.707107 - 0.707107i) q^{3} +(-0.368289 - 1.96580i) q^{4} +(-2.09919 - 0.770325i) q^{5} +(-0.130770 - 1.40815i) q^{6} +3.05002 q^{7} +(-2.47181 - 1.37484i) q^{8} -1.00000i q^{9} +(-2.73434 + 1.58851i) q^{10} +(-1.80989 + 1.80989i) q^{11} +(-1.65045 - 1.12961i) q^{12} +(2.47057 - 2.47057i) q^{13} +(2.75492 - 3.31898i) q^{14} +(-2.02905 + 0.939649i) q^{15} +(-3.72873 + 1.44796i) q^{16} +3.66653i q^{17} +(-1.08818 - 0.903247i) q^{18} +(-2.31596 - 2.31596i) q^{19} +(-0.741196 + 4.41029i) q^{20} +(2.15669 - 2.15669i) q^{21} +(0.334715 + 3.60427i) q^{22} +4.86336 q^{23} +(-2.71999 + 0.775675i) q^{24} +(3.81320 + 3.23412i) q^{25} +(-0.456900 - 4.91998i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(-1.12329 - 5.99573i) q^{28} +(4.74672 + 4.74672i) q^{29} +(-0.810226 + 3.05672i) q^{30} +1.86172 q^{31} +(-1.79231 + 5.36541i) q^{32} +2.55957i q^{33} +(3.98986 + 3.31179i) q^{34} +(-6.40257 - 2.34951i) q^{35} +(-1.96580 + 0.368289i) q^{36} +(5.40092 + 5.40092i) q^{37} +(-4.61208 + 0.428306i) q^{38} -3.49392i q^{39} +(4.12972 + 4.79014i) q^{40} +6.47424i q^{41} +(-0.398851 - 4.29490i) q^{42} +(-4.19382 - 4.19382i) q^{43} +(4.22444 + 2.89131i) q^{44} +(-0.770325 + 2.09919i) q^{45} +(4.39282 - 5.29223i) q^{46} -8.24387i q^{47} +(-1.61274 + 3.66047i) q^{48} +2.30263 q^{49} +(6.96358 - 1.22825i) q^{50} +(2.59263 + 2.59263i) q^{51} +(-5.76653 - 3.94676i) q^{52} +(-9.99761 - 9.99761i) q^{53} +(-1.40815 + 0.130770i) q^{54} +(5.19350 - 2.40510i) q^{55} +(-7.53906 - 4.19328i) q^{56} -3.27526 q^{57} +(9.45277 - 0.877843i) q^{58} +(-2.47155 + 2.47155i) q^{59} +(2.59444 + 3.64265i) q^{60} +(8.01822 + 8.01822i) q^{61} +(1.68160 - 2.02590i) q^{62} -3.05002i q^{63} +(4.21965 + 6.79666i) q^{64} +(-7.08935 + 3.28306i) q^{65} +(2.78528 + 2.31192i) q^{66} +(-8.60064 + 8.60064i) q^{67} +(7.20766 - 1.35034i) q^{68} +(3.43891 - 3.43891i) q^{69} +(-8.33981 + 4.84499i) q^{70} +6.63653i q^{71} +(-1.37484 + 2.47181i) q^{72} +2.70041 q^{73} +(10.7556 - 0.998828i) q^{74} +(4.98321 - 0.409472i) q^{75} +(-3.69977 + 5.40565i) q^{76} +(-5.52020 + 5.52020i) q^{77} +(-3.80203 - 3.15587i) q^{78} -10.9690 q^{79} +(8.94271 - 0.167218i) q^{80} -1.00000 q^{81} +(7.04516 + 5.84784i) q^{82} +(3.65688 - 3.65688i) q^{83} +(-5.03390 - 3.44533i) q^{84} +(2.82442 - 7.69675i) q^{85} +(-8.35170 + 0.775591i) q^{86} +6.71288 q^{87} +(6.96199 - 1.98539i) q^{88} -13.1530i q^{89} +(1.58851 + 2.73434i) q^{90} +(7.53530 - 7.53530i) q^{91} +(-1.79112 - 9.56038i) q^{92} +(1.31644 - 1.31644i) q^{93} +(-8.97085 - 7.44625i) q^{94} +(3.07760 + 6.64569i) q^{95} +(2.52656 + 5.06127i) q^{96} +12.4932i q^{97} +(2.07985 - 2.50569i) q^{98} +(1.80989 + 1.80989i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 12 q^{10} - 16 q^{14} - 4 q^{16} + 8 q^{19} - 4 q^{24} - 40 q^{26} - 8 q^{30} - 48 q^{31} - 28 q^{34} + 24 q^{35} - 4 q^{36} - 16 q^{40} - 40 q^{44} - 4 q^{46} + 48 q^{49} - 32 q^{50} + 8 q^{51} - 4 q^{54} + 48 q^{56} - 32 q^{59} - 24 q^{60} + 16 q^{61} + 48 q^{64} + 16 q^{65} + 24 q^{66} - 16 q^{69} + 40 q^{74} - 16 q^{75} + 60 q^{76} - 96 q^{79} + 72 q^{80} - 48 q^{81} + 16 q^{86} + 8 q^{90} - 32 q^{91} + 44 q^{94} - 48 q^{95} - 40 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(1\) \(-1\) \(1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.903247 1.08818i 0.638692 0.769462i
\(3\) 0.707107 0.707107i 0.408248 0.408248i
\(4\) −0.368289 1.96580i −0.184144 0.982899i
\(5\) −2.09919 0.770325i −0.938786 0.344500i
\(6\) −0.130770 1.40815i −0.0533866 0.574877i
\(7\) 3.05002 1.15280 0.576400 0.817168i \(-0.304457\pi\)
0.576400 + 0.817168i \(0.304457\pi\)
\(8\) −2.47181 1.37484i −0.873915 0.486078i
\(9\) 1.00000i 0.333333i
\(10\) −2.73434 + 1.58851i −0.864675 + 0.502331i
\(11\) −1.80989 + 1.80989i −0.545702 + 0.545702i −0.925195 0.379493i \(-0.876099\pi\)
0.379493 + 0.925195i \(0.376099\pi\)
\(12\) −1.65045 1.12961i −0.476444 0.326090i
\(13\) 2.47057 2.47057i 0.685214 0.685214i −0.275956 0.961170i \(-0.588995\pi\)
0.961170 + 0.275956i \(0.0889946\pi\)
\(14\) 2.75492 3.31898i 0.736284 0.887036i
\(15\) −2.02905 + 0.939649i −0.523899 + 0.242616i
\(16\) −3.72873 + 1.44796i −0.932182 + 0.361991i
\(17\) 3.66653i 0.889265i 0.895713 + 0.444632i \(0.146666\pi\)
−0.895713 + 0.444632i \(0.853334\pi\)
\(18\) −1.08818 0.903247i −0.256487 0.212897i
\(19\) −2.31596 2.31596i −0.531318 0.531318i 0.389647 0.920964i \(-0.372597\pi\)
−0.920964 + 0.389647i \(0.872597\pi\)
\(20\) −0.741196 + 4.41029i −0.165736 + 0.986170i
\(21\) 2.15669 2.15669i 0.470629 0.470629i
\(22\) 0.334715 + 3.60427i 0.0713615 + 0.768433i
\(23\) 4.86336 1.01408 0.507040 0.861922i \(-0.330740\pi\)
0.507040 + 0.861922i \(0.330740\pi\)
\(24\) −2.71999 + 0.775675i −0.555215 + 0.158334i
\(25\) 3.81320 + 3.23412i 0.762640 + 0.646824i
\(26\) −0.456900 4.91998i −0.0896054 0.964887i
\(27\) −0.707107 0.707107i −0.136083 0.136083i
\(28\) −1.12329 5.99573i −0.212282 1.13309i
\(29\) 4.74672 + 4.74672i 0.881444 + 0.881444i 0.993681 0.112237i \(-0.0358017\pi\)
−0.112237 + 0.993681i \(0.535802\pi\)
\(30\) −0.810226 + 3.05672i −0.147926 + 0.558078i
\(31\) 1.86172 0.334375 0.167188 0.985925i \(-0.446531\pi\)
0.167188 + 0.985925i \(0.446531\pi\)
\(32\) −1.79231 + 5.36541i −0.316839 + 0.948479i
\(33\) 2.55957i 0.445564i
\(34\) 3.98986 + 3.31179i 0.684256 + 0.567966i
\(35\) −6.40257 2.34951i −1.08223 0.397139i
\(36\) −1.96580 + 0.368289i −0.327633 + 0.0613815i
\(37\) 5.40092 + 5.40092i 0.887905 + 0.887905i 0.994322 0.106416i \(-0.0339376\pi\)
−0.106416 + 0.994322i \(0.533938\pi\)
\(38\) −4.61208 + 0.428306i −0.748178 + 0.0694804i
\(39\) 3.49392i 0.559475i
\(40\) 4.12972 + 4.79014i 0.652966 + 0.757387i
\(41\) 6.47424i 1.01111i 0.862796 + 0.505553i \(0.168712\pi\)
−0.862796 + 0.505553i \(0.831288\pi\)
\(42\) −0.398851 4.29490i −0.0615441 0.662718i
\(43\) −4.19382 4.19382i −0.639551 0.639551i 0.310893 0.950445i \(-0.399372\pi\)
−0.950445 + 0.310893i \(0.899372\pi\)
\(44\) 4.22444 + 2.89131i 0.636858 + 0.435882i
\(45\) −0.770325 + 2.09919i −0.114833 + 0.312929i
\(46\) 4.39282 5.29223i 0.647685 0.780297i
\(47\) 8.24387i 1.20249i −0.799064 0.601246i \(-0.794671\pi\)
0.799064 0.601246i \(-0.205329\pi\)
\(48\) −1.61274 + 3.66047i −0.232779 + 0.528344i
\(49\) 2.30263 0.328947
\(50\) 6.96358 1.22825i 0.984798 0.173701i
\(51\) 2.59263 + 2.59263i 0.363041 + 0.363041i
\(52\) −5.76653 3.94676i −0.799674 0.547318i
\(53\) −9.99761 9.99761i −1.37328 1.37328i −0.855539 0.517739i \(-0.826774\pi\)
−0.517739 0.855539i \(-0.673226\pi\)
\(54\) −1.40815 + 0.130770i −0.191626 + 0.0177955i
\(55\) 5.19350 2.40510i 0.700292 0.324303i
\(56\) −7.53906 4.19328i −1.00745 0.560351i
\(57\) −3.27526 −0.433819
\(58\) 9.45277 0.877843i 1.24121 0.115266i
\(59\) −2.47155 + 2.47155i −0.321769 + 0.321769i −0.849445 0.527676i \(-0.823063\pi\)
0.527676 + 0.849445i \(0.323063\pi\)
\(60\) 2.59444 + 3.64265i 0.334941 + 0.470264i
\(61\) 8.01822 + 8.01822i 1.02663 + 1.02663i 0.999636 + 0.0269927i \(0.00859310\pi\)
0.0269927 + 0.999636i \(0.491407\pi\)
\(62\) 1.68160 2.02590i 0.213563 0.257289i
\(63\) 3.05002i 0.384267i
\(64\) 4.21965 + 6.79666i 0.527456 + 0.849582i
\(65\) −7.08935 + 3.28306i −0.879325 + 0.407213i
\(66\) 2.78528 + 2.31192i 0.342845 + 0.284578i
\(67\) −8.60064 + 8.60064i −1.05074 + 1.05074i −0.0520936 + 0.998642i \(0.516589\pi\)
−0.998642 + 0.0520936i \(0.983411\pi\)
\(68\) 7.20766 1.35034i 0.874058 0.163753i
\(69\) 3.43891 3.43891i 0.413997 0.413997i
\(70\) −8.33981 + 4.84499i −0.996797 + 0.579087i
\(71\) 6.63653i 0.787611i 0.919194 + 0.393806i \(0.128842\pi\)
−0.919194 + 0.393806i \(0.871158\pi\)
\(72\) −1.37484 + 2.47181i −0.162026 + 0.291305i
\(73\) 2.70041 0.316059 0.158030 0.987434i \(-0.449486\pi\)
0.158030 + 0.987434i \(0.449486\pi\)
\(74\) 10.7556 0.998828i 1.25031 0.116111i
\(75\) 4.98321 0.409472i 0.575411 0.0472817i
\(76\) −3.69977 + 5.40565i −0.424393 + 0.620071i
\(77\) −5.52020 + 5.52020i −0.629085 + 0.629085i
\(78\) −3.80203 3.15587i −0.430495 0.357332i
\(79\) −10.9690 −1.23411 −0.617054 0.786921i \(-0.711674\pi\)
−0.617054 + 0.786921i \(0.711674\pi\)
\(80\) 8.94271 0.167218i 0.999825 0.0186955i
\(81\) −1.00000 −0.111111
\(82\) 7.04516 + 5.84784i 0.778008 + 0.645786i
\(83\) 3.65688 3.65688i 0.401395 0.401395i −0.477330 0.878724i \(-0.658395\pi\)
0.878724 + 0.477330i \(0.158395\pi\)
\(84\) −5.03390 3.44533i −0.549244 0.375917i
\(85\) 2.82442 7.69675i 0.306352 0.834830i
\(86\) −8.35170 + 0.775591i −0.900587 + 0.0836341i
\(87\) 6.71288 0.719696
\(88\) 6.96199 1.98539i 0.742151 0.211644i
\(89\) 13.1530i 1.39421i −0.716968 0.697106i \(-0.754471\pi\)
0.716968 0.697106i \(-0.245529\pi\)
\(90\) 1.58851 + 2.73434i 0.167444 + 0.288225i
\(91\) 7.53530 7.53530i 0.789914 0.789914i
\(92\) −1.79112 9.56038i −0.186737 0.996739i
\(93\) 1.31644 1.31644i 0.136508 0.136508i
\(94\) −8.97085 7.44625i −0.925272 0.768022i
\(95\) 3.07760 + 6.64569i 0.315755 + 0.681833i
\(96\) 2.52656 + 5.06127i 0.257866 + 0.516564i
\(97\) 12.4932i 1.26849i 0.773131 + 0.634247i \(0.218690\pi\)
−0.773131 + 0.634247i \(0.781310\pi\)
\(98\) 2.07985 2.50569i 0.210096 0.253113i
\(99\) 1.80989 + 1.80989i 0.181901 + 0.181901i
\(100\) 4.95327 8.68707i 0.495327 0.868707i
\(101\) 0.569518 0.569518i 0.0566692 0.0566692i −0.678204 0.734873i \(-0.737242\pi\)
0.734873 + 0.678204i \(0.237242\pi\)
\(102\) 5.16304 0.479473i 0.511218 0.0474749i
\(103\) −12.2060 −1.20269 −0.601345 0.798989i \(-0.705368\pi\)
−0.601345 + 0.798989i \(0.705368\pi\)
\(104\) −9.50341 + 2.71014i −0.931886 + 0.265752i
\(105\) −6.18866 + 2.86595i −0.603951 + 0.279688i
\(106\) −19.9096 + 1.84893i −1.93379 + 0.179584i
\(107\) −7.99550 7.99550i −0.772955 0.772955i 0.205667 0.978622i \(-0.434063\pi\)
−0.978622 + 0.205667i \(0.934063\pi\)
\(108\) −1.12961 + 1.65045i −0.108697 + 0.158815i
\(109\) −7.07511 7.07511i −0.677672 0.677672i 0.281801 0.959473i \(-0.409068\pi\)
−0.959473 + 0.281801i \(0.909068\pi\)
\(110\) 2.07383 7.82388i 0.197732 0.745978i
\(111\) 7.63805 0.724972
\(112\) −11.3727 + 4.41632i −1.07462 + 0.417303i
\(113\) 6.25105i 0.588050i 0.955798 + 0.294025i \(0.0949948\pi\)
−0.955798 + 0.294025i \(0.905005\pi\)
\(114\) −2.95837 + 3.56409i −0.277077 + 0.333808i
\(115\) −10.2091 3.74637i −0.952005 0.349351i
\(116\) 7.58293 11.0793i 0.704058 1.02868i
\(117\) −2.47057 2.47057i −0.228405 0.228405i
\(118\) 0.457081 + 4.92193i 0.0420777 + 0.453100i
\(119\) 11.1830i 1.02514i
\(120\) 6.30729 + 0.466985i 0.575774 + 0.0426297i
\(121\) 4.44861i 0.404419i
\(122\) 15.9677 1.48286i 1.44565 0.134252i
\(123\) 4.57798 + 4.57798i 0.412782 + 0.412782i
\(124\) −0.685652 3.65977i −0.0615734 0.328657i
\(125\) −5.51331 9.72643i −0.493125 0.869958i
\(126\) −3.31898 2.75492i −0.295679 0.245428i
\(127\) 14.1884i 1.25902i −0.776993 0.629509i \(-0.783256\pi\)
0.776993 0.629509i \(-0.216744\pi\)
\(128\) 11.2074 + 1.54730i 0.990604 + 0.136764i
\(129\) −5.93095 −0.522191
\(130\) −2.83086 + 10.6799i −0.248283 + 0.936692i
\(131\) −12.5522 12.5522i −1.09669 1.09669i −0.994795 0.101896i \(-0.967509\pi\)
−0.101896 0.994795i \(-0.532491\pi\)
\(132\) 5.03160 0.942661i 0.437944 0.0820481i
\(133\) −7.06373 7.06373i −0.612503 0.612503i
\(134\) 1.59057 + 17.1276i 0.137405 + 1.47960i
\(135\) 0.939649 + 2.02905i 0.0808721 + 0.174633i
\(136\) 5.04088 9.06296i 0.432252 0.777142i
\(137\) 4.88336 0.417214 0.208607 0.978000i \(-0.433107\pi\)
0.208607 + 0.978000i \(0.433107\pi\)
\(138\) −0.635982 6.84836i −0.0541383 0.582971i
\(139\) 5.84556 5.84556i 0.495814 0.495814i −0.414318 0.910132i \(-0.635980\pi\)
0.910132 + 0.414318i \(0.135980\pi\)
\(140\) −2.26066 + 13.4515i −0.191061 + 1.13686i
\(141\) −5.82930 5.82930i −0.490915 0.490915i
\(142\) 7.22177 + 5.99443i 0.606037 + 0.503041i
\(143\) 8.94292i 0.747845i
\(144\) 1.44796 + 3.72873i 0.120664 + 0.310727i
\(145\) −6.30775 13.6208i −0.523830 1.13115i
\(146\) 2.43914 2.93855i 0.201865 0.243196i
\(147\) 1.62821 1.62821i 0.134292 0.134292i
\(148\) 8.62802 12.6062i 0.709219 1.03622i
\(149\) −15.1483 + 15.1483i −1.24100 + 1.24100i −0.281412 + 0.959587i \(0.590803\pi\)
−0.959587 + 0.281412i \(0.909197\pi\)
\(150\) 4.05549 5.79250i 0.331129 0.472956i
\(151\) 4.02031i 0.327168i 0.986529 + 0.163584i \(0.0523056\pi\)
−0.986529 + 0.163584i \(0.947694\pi\)
\(152\) 2.54054 + 8.90867i 0.206065 + 0.722589i
\(153\) 3.66653 0.296422
\(154\) 1.02089 + 10.9931i 0.0822655 + 0.885849i
\(155\) −3.90811 1.43413i −0.313907 0.115192i
\(156\) −6.86834 + 1.28677i −0.549907 + 0.103024i
\(157\) 9.86041 9.86041i 0.786946 0.786946i −0.194046 0.980992i \(-0.562161\pi\)
0.980992 + 0.194046i \(0.0621612\pi\)
\(158\) −9.90771 + 11.9363i −0.788215 + 0.949600i
\(159\) −14.1388 −1.12128
\(160\) 7.89551 9.88235i 0.624195 0.781268i
\(161\) 14.8333 1.16903
\(162\) −0.903247 + 1.08818i −0.0709658 + 0.0854958i
\(163\) −13.1713 + 13.1713i −1.03165 + 1.03165i −0.0321718 + 0.999482i \(0.510242\pi\)
−0.999482 + 0.0321718i \(0.989758\pi\)
\(164\) 12.7270 2.38439i 0.993815 0.186190i
\(165\) 1.97170 5.37302i 0.153497 0.418289i
\(166\) −0.676291 7.28242i −0.0524904 0.565226i
\(167\) 0.0610761 0.00472621 0.00236311 0.999997i \(-0.499248\pi\)
0.00236311 + 0.999997i \(0.499248\pi\)
\(168\) −8.29602 + 2.36583i −0.640052 + 0.182527i
\(169\) 0.792537i 0.0609644i
\(170\) −5.82433 10.0256i −0.446705 0.768925i
\(171\) −2.31596 + 2.31596i −0.177106 + 0.177106i
\(172\) −6.69966 + 9.78874i −0.510845 + 0.746384i
\(173\) 8.01622 8.01622i 0.609462 0.609462i −0.333343 0.942805i \(-0.608177\pi\)
0.942805 + 0.333343i \(0.108177\pi\)
\(174\) 6.06339 7.30485i 0.459664 0.553779i
\(175\) 11.6303 + 9.86413i 0.879171 + 0.745658i
\(176\) 4.12793 9.36923i 0.311154 0.706232i
\(177\) 3.49531i 0.262723i
\(178\) −14.3128 11.8804i −1.07279 0.890472i
\(179\) 11.8352 + 11.8352i 0.884607 + 0.884607i 0.993999 0.109392i \(-0.0348903\pi\)
−0.109392 + 0.993999i \(0.534890\pi\)
\(180\) 4.41029 + 0.741196i 0.328723 + 0.0552455i
\(181\) 3.63391 3.63391i 0.270106 0.270106i −0.559037 0.829143i \(-0.688829\pi\)
0.829143 + 0.559037i \(0.188829\pi\)
\(182\) −1.39355 15.0060i −0.103297 1.11232i
\(183\) 11.3395 0.838239
\(184\) −12.0213 6.68632i −0.886221 0.492922i
\(185\) −7.17709 15.4980i −0.527670 1.13944i
\(186\) −0.243458 2.62159i −0.0178512 0.192225i
\(187\) −6.63602 6.63602i −0.485274 0.485274i
\(188\) −16.2058 + 3.03612i −1.18193 + 0.221432i
\(189\) −2.15669 2.15669i −0.156876 0.156876i
\(190\) 10.0116 + 2.65370i 0.726315 + 0.192520i
\(191\) 19.0823 1.38074 0.690372 0.723455i \(-0.257447\pi\)
0.690372 + 0.723455i \(0.257447\pi\)
\(192\) 7.78971 + 1.82222i 0.562174 + 0.131507i
\(193\) 2.99015i 0.215236i 0.994192 + 0.107618i \(0.0343223\pi\)
−0.994192 + 0.107618i \(0.965678\pi\)
\(194\) 13.5949 + 11.2845i 0.976058 + 0.810177i
\(195\) −2.69145 + 7.33440i −0.192739 + 0.525227i
\(196\) −0.848033 4.52651i −0.0605738 0.323322i
\(197\) 1.37271 + 1.37271i 0.0978016 + 0.0978016i 0.754315 0.656513i \(-0.227969\pi\)
−0.656513 + 0.754315i \(0.727969\pi\)
\(198\) 3.60427 0.334715i 0.256144 0.0237872i
\(199\) 15.7129i 1.11386i −0.830560 0.556930i \(-0.811979\pi\)
0.830560 0.556930i \(-0.188021\pi\)
\(200\) −4.97911 13.2366i −0.352076 0.935971i
\(201\) 12.1631i 0.857922i
\(202\) −0.105325 1.13416i −0.00741063 0.0797989i
\(203\) 14.4776 + 14.4776i 1.01613 + 1.01613i
\(204\) 4.14175 6.05142i 0.289981 0.423684i
\(205\) 4.98727 13.5907i 0.348326 0.949213i
\(206\) −11.0250 + 13.2823i −0.768149 + 0.925425i
\(207\) 4.86336i 0.338027i
\(208\) −5.63479 + 12.7894i −0.390703 + 0.886785i
\(209\) 8.38326 0.579882
\(210\) −2.47121 + 9.32306i −0.170529 + 0.643352i
\(211\) 16.8391 + 16.8391i 1.15925 + 1.15925i 0.984637 + 0.174614i \(0.0558679\pi\)
0.174614 + 0.984637i \(0.444132\pi\)
\(212\) −15.9713 + 23.3353i −1.09691 + 1.60267i
\(213\) 4.69274 + 4.69274i 0.321541 + 0.321541i
\(214\) −15.9225 + 1.47866i −1.08844 + 0.101079i
\(215\) 5.57302 + 12.0342i 0.380077 + 0.820727i
\(216\) 0.775675 + 2.71999i 0.0527780 + 0.185072i
\(217\) 5.67830 0.385468
\(218\) −14.0896 + 1.30845i −0.954267 + 0.0886192i
\(219\) 1.90948 1.90948i 0.129031 0.129031i
\(220\) −6.64065 9.32361i −0.447712 0.628598i
\(221\) 9.05844 + 9.05844i 0.609336 + 0.609336i
\(222\) 6.89905 8.31160i 0.463034 0.557838i
\(223\) 10.6893i 0.715809i 0.933758 + 0.357905i \(0.116509\pi\)
−0.933758 + 0.357905i \(0.883491\pi\)
\(224\) −5.46659 + 16.3646i −0.365252 + 1.09341i
\(225\) 3.23412 3.81320i 0.215608 0.254213i
\(226\) 6.80230 + 5.64625i 0.452482 + 0.375583i
\(227\) 15.0722 15.0722i 1.00037 1.00037i 0.000374434 1.00000i \(-0.499881\pi\)
1.00000 0.000374434i \(-0.000119186\pi\)
\(228\) 1.20624 + 6.43851i 0.0798854 + 0.426401i
\(229\) −3.23629 + 3.23629i −0.213860 + 0.213860i −0.805905 0.592045i \(-0.798321\pi\)
0.592045 + 0.805905i \(0.298321\pi\)
\(230\) −13.2981 + 7.72550i −0.876850 + 0.509404i
\(231\) 7.80674i 0.513646i
\(232\) −5.20701 18.2589i −0.341857 1.19876i
\(233\) 4.75428 0.311463 0.155732 0.987799i \(-0.450227\pi\)
0.155732 + 0.987799i \(0.450227\pi\)
\(234\) −4.91998 + 0.456900i −0.321629 + 0.0298685i
\(235\) −6.35046 + 17.3054i −0.414258 + 1.12888i
\(236\) 5.76882 + 3.94833i 0.375518 + 0.257015i
\(237\) −7.75625 + 7.75625i −0.503823 + 0.503823i
\(238\) 12.1692 + 10.1010i 0.788810 + 0.654752i
\(239\) 11.9224 0.771196 0.385598 0.922667i \(-0.373995\pi\)
0.385598 + 0.922667i \(0.373995\pi\)
\(240\) 6.20521 6.44169i 0.400545 0.415809i
\(241\) −28.2991 −1.82291 −0.911453 0.411403i \(-0.865039\pi\)
−0.911453 + 0.411403i \(0.865039\pi\)
\(242\) 4.84090 + 4.01819i 0.311185 + 0.258299i
\(243\) −0.707107 + 0.707107i −0.0453609 + 0.0453609i
\(244\) 12.8092 18.7152i 0.820024 1.19812i
\(245\) −4.83366 1.77377i −0.308811 0.113322i
\(246\) 9.11673 0.846636i 0.581261 0.0539796i
\(247\) −11.4435 −0.728133
\(248\) −4.60182 2.55956i −0.292216 0.162533i
\(249\) 5.17161i 0.327737i
\(250\) −15.5640 2.78588i −0.984355 0.176195i
\(251\) −4.39215 + 4.39215i −0.277230 + 0.277230i −0.832002 0.554772i \(-0.812805\pi\)
0.554772 + 0.832002i \(0.312805\pi\)
\(252\) −5.99573 + 1.12329i −0.377695 + 0.0707605i
\(253\) −8.80214 + 8.80214i −0.553386 + 0.553386i
\(254\) −15.4396 12.8156i −0.968767 0.804125i
\(255\) −3.44526 7.43959i −0.215750 0.465885i
\(256\) 11.8068 10.7981i 0.737925 0.674882i
\(257\) 2.53050i 0.157849i 0.996881 + 0.0789243i \(0.0251485\pi\)
−0.996881 + 0.0789243i \(0.974851\pi\)
\(258\) −5.35712 + 6.45397i −0.333520 + 0.401807i
\(259\) 16.4729 + 16.4729i 1.02358 + 1.02358i
\(260\) 9.06476 + 12.7271i 0.562172 + 0.789302i
\(261\) 4.74672 4.74672i 0.293815 0.293815i
\(262\) −24.9969 + 2.32136i −1.54431 + 0.143414i
\(263\) −0.540983 −0.0333584 −0.0166792 0.999861i \(-0.505309\pi\)
−0.0166792 + 0.999861i \(0.505309\pi\)
\(264\) 3.51899 6.32676i 0.216579 0.389385i
\(265\) 13.2855 + 28.6883i 0.816120 + 1.76231i
\(266\) −14.0669 + 1.30634i −0.862499 + 0.0800970i
\(267\) −9.30055 9.30055i −0.569184 0.569184i
\(268\) 20.0747 + 13.7396i 1.22625 + 0.839280i
\(269\) −3.00188 3.00188i −0.183028 0.183028i 0.609646 0.792674i \(-0.291312\pi\)
−0.792674 + 0.609646i \(0.791312\pi\)
\(270\) 3.05672 + 0.810226i 0.186026 + 0.0493088i
\(271\) −8.44312 −0.512883 −0.256442 0.966560i \(-0.582550\pi\)
−0.256442 + 0.966560i \(0.582550\pi\)
\(272\) −5.30900 13.6715i −0.321906 0.828956i
\(273\) 10.6565i 0.644962i
\(274\) 4.41089 5.31400i 0.266471 0.321030i
\(275\) −12.7549 + 1.04807i −0.769147 + 0.0632011i
\(276\) −8.02673 5.49370i −0.483152 0.330682i
\(277\) 12.2494 + 12.2494i 0.735992 + 0.735992i 0.971800 0.235807i \(-0.0757735\pi\)
−0.235807 + 0.971800i \(0.575773\pi\)
\(278\) −1.08106 11.6410i −0.0648376 0.698182i
\(279\) 1.86172i 0.111458i
\(280\) 12.5957 + 14.6100i 0.752739 + 0.873116i
\(281\) 16.6912i 0.995715i −0.867259 0.497857i \(-0.834120\pi\)
0.867259 0.497857i \(-0.165880\pi\)
\(282\) −11.6086 + 1.07805i −0.691285 + 0.0641970i
\(283\) 1.25800 + 1.25800i 0.0747802 + 0.0747802i 0.743508 0.668727i \(-0.233161\pi\)
−0.668727 + 0.743508i \(0.733161\pi\)
\(284\) 13.0461 2.44416i 0.774143 0.145034i
\(285\) 6.87540 + 2.52302i 0.407264 + 0.149451i
\(286\) 9.73155 + 8.07767i 0.575438 + 0.477643i
\(287\) 19.7466i 1.16560i
\(288\) 5.36541 + 1.79231i 0.316160 + 0.105613i
\(289\) 3.55654 0.209208
\(290\) −20.5194 5.43895i −1.20494 0.319386i
\(291\) 8.83403 + 8.83403i 0.517860 + 0.517860i
\(292\) −0.994532 5.30847i −0.0582006 0.310655i
\(293\) 12.4197 + 12.4197i 0.725564 + 0.725564i 0.969733 0.244169i \(-0.0785151\pi\)
−0.244169 + 0.969733i \(0.578515\pi\)
\(294\) −0.301115 3.24246i −0.0175614 0.189104i
\(295\) 7.09216 3.28436i 0.412922 0.191223i
\(296\) −5.92464 20.7754i −0.344363 1.20755i
\(297\) 2.55957 0.148521
\(298\) 2.80148 + 30.1669i 0.162285 + 1.74752i
\(299\) 12.0153 12.0153i 0.694862 0.694862i
\(300\) −2.64020 9.64517i −0.152432 0.556864i
\(301\) −12.7912 12.7912i −0.737275 0.737275i
\(302\) 4.37484 + 3.63134i 0.251744 + 0.208960i
\(303\) 0.805420i 0.0462702i
\(304\) 11.9890 + 5.28216i 0.687617 + 0.302953i
\(305\) −10.6551 23.0084i −0.610111 1.31746i
\(306\) 3.31179 3.98986i 0.189322 0.228085i
\(307\) 21.6994 21.6994i 1.23845 1.23845i 0.277816 0.960634i \(-0.410389\pi\)
0.960634 0.277816i \(-0.0896107\pi\)
\(308\) 12.8846 + 8.81857i 0.734170 + 0.502485i
\(309\) −8.63093 + 8.63093i −0.490996 + 0.490996i
\(310\) −5.09059 + 2.95737i −0.289126 + 0.167967i
\(311\) 13.6575i 0.774447i −0.921986 0.387224i \(-0.873434\pi\)
0.921986 0.387224i \(-0.126566\pi\)
\(312\) −4.80356 + 8.63629i −0.271948 + 0.488934i
\(313\) −13.7537 −0.777403 −0.388701 0.921364i \(-0.627076\pi\)
−0.388701 + 0.921364i \(0.627076\pi\)
\(314\) −1.82355 19.6363i −0.102909 1.10814i
\(315\) −2.34951 + 6.40257i −0.132380 + 0.360744i
\(316\) 4.03976 + 21.5628i 0.227254 + 1.21300i
\(317\) −16.5311 + 16.5311i −0.928477 + 0.928477i −0.997608 0.0691306i \(-0.977977\pi\)
0.0691306 + 0.997608i \(0.477977\pi\)
\(318\) −12.7708 + 15.3856i −0.716151 + 0.862780i
\(319\) −17.1821 −0.962012
\(320\) −3.62222 17.5180i −0.202488 0.979285i
\(321\) −11.3073 −0.631115
\(322\) 13.3982 16.1414i 0.746651 0.899526i
\(323\) 8.49155 8.49155i 0.472482 0.472482i
\(324\) 0.368289 + 1.96580i 0.0204605 + 0.109211i
\(325\) 17.4109 1.43066i 0.965784 0.0793588i
\(326\) 2.43585 + 26.2297i 0.134909 + 1.45273i
\(327\) −10.0057 −0.553317
\(328\) 8.90102 16.0031i 0.491476 0.883621i
\(329\) 25.1440i 1.38623i
\(330\) −4.06590 6.99874i −0.223821 0.385268i
\(331\) −8.05179 + 8.05179i −0.442566 + 0.442566i −0.892874 0.450307i \(-0.851314\pi\)
0.450307 + 0.892874i \(0.351314\pi\)
\(332\) −8.53547 5.84190i −0.468445 0.320616i
\(333\) 5.40092 5.40092i 0.295968 0.295968i
\(334\) 0.0551668 0.0664621i 0.00301859 0.00363664i
\(335\) 24.6797 11.4291i 1.34839 0.624438i
\(336\) −4.91890 + 11.1645i −0.268348 + 0.609074i
\(337\) 4.77730i 0.260236i −0.991499 0.130118i \(-0.958464\pi\)
0.991499 0.130118i \(-0.0415356\pi\)
\(338\) 0.862426 + 0.715857i 0.0469098 + 0.0389375i
\(339\) 4.42016 + 4.42016i 0.240070 + 0.240070i
\(340\) −16.1705 2.71762i −0.876966 0.147384i
\(341\) −3.36951 + 3.36951i −0.182469 + 0.182469i
\(342\) 0.428306 + 4.61208i 0.0231601 + 0.249393i
\(343\) −14.3271 −0.773589
\(344\) 4.60049 + 16.1321i 0.248042 + 0.869785i
\(345\) −9.86802 + 4.56985i −0.531276 + 0.246033i
\(346\) −1.48249 15.9638i −0.0796994 0.858217i
\(347\) −3.32673 3.32673i −0.178588 0.178588i 0.612152 0.790740i \(-0.290304\pi\)
−0.790740 + 0.612152i \(0.790304\pi\)
\(348\) −2.47228 13.1962i −0.132528 0.707389i
\(349\) 21.8586 + 21.8586i 1.17007 + 1.17007i 0.982194 + 0.187872i \(0.0601590\pi\)
0.187872 + 0.982194i \(0.439841\pi\)
\(350\) 21.2391 3.74620i 1.13528 0.200243i
\(351\) −3.49392 −0.186492
\(352\) −6.46691 12.9547i −0.344687 0.690487i
\(353\) 5.19436i 0.276468i −0.990400 0.138234i \(-0.955857\pi\)
0.990400 0.138234i \(-0.0441426\pi\)
\(354\) 3.80354 + 3.15713i 0.202156 + 0.167799i
\(355\) 5.11229 13.9313i 0.271332 0.739399i
\(356\) −25.8561 + 4.84409i −1.37037 + 0.256736i
\(357\) 7.90758 + 7.90758i 0.418513 + 0.418513i
\(358\) 23.5691 2.18877i 1.24566 0.115680i
\(359\) 21.0115i 1.10894i −0.832203 0.554472i \(-0.812920\pi\)
0.832203 0.554472i \(-0.187080\pi\)
\(360\) 4.79014 4.12972i 0.252462 0.217655i
\(361\) 8.27265i 0.435403i
\(362\) −0.672044 7.23668i −0.0353218 0.380352i
\(363\) 3.14564 + 3.14564i 0.165103 + 0.165103i
\(364\) −17.5880 12.0377i −0.921864 0.630948i
\(365\) −5.66868 2.08020i −0.296712 0.108882i
\(366\) 10.2424 12.3394i 0.535376 0.644993i
\(367\) 24.5855i 1.28335i −0.766976 0.641676i \(-0.778240\pi\)
0.766976 0.641676i \(-0.221760\pi\)
\(368\) −18.1341 + 7.04196i −0.945307 + 0.367088i
\(369\) 6.47424 0.337035
\(370\) −23.3474 6.18854i −1.21377 0.321727i
\(371\) −30.4929 30.4929i −1.58311 1.58311i
\(372\) −3.07268 2.10302i −0.159311 0.109037i
\(373\) −1.00389 1.00389i −0.0519795 0.0519795i 0.680639 0.732619i \(-0.261702\pi\)
−0.732619 + 0.680639i \(0.761702\pi\)
\(374\) −13.2152 + 1.22724i −0.683340 + 0.0634592i
\(375\) −10.7761 2.97913i −0.556477 0.153842i
\(376\) −11.3340 + 20.3772i −0.584505 + 1.05088i
\(377\) 23.4542 1.20796
\(378\) −4.29490 + 0.398851i −0.220906 + 0.0205147i
\(379\) −4.93721 + 4.93721i −0.253607 + 0.253607i −0.822448 0.568841i \(-0.807392\pi\)
0.568841 + 0.822448i \(0.307392\pi\)
\(380\) 11.9306 8.49747i 0.612029 0.435911i
\(381\) −10.0327 10.0327i −0.513992 0.513992i
\(382\) 17.2360 20.7650i 0.881870 1.06243i
\(383\) 4.25312i 0.217324i 0.994079 + 0.108662i \(0.0346566\pi\)
−0.994079 + 0.108662i \(0.965343\pi\)
\(384\) 9.01894 6.83072i 0.460246 0.348579i
\(385\) 15.8403 7.33560i 0.807296 0.373857i
\(386\) 3.25383 + 2.70085i 0.165616 + 0.137469i
\(387\) −4.19382 + 4.19382i −0.213184 + 0.213184i
\(388\) 24.5591 4.60111i 1.24680 0.233586i
\(389\) −15.1555 + 15.1555i −0.768414 + 0.768414i −0.977827 0.209413i \(-0.932845\pi\)
0.209413 + 0.977827i \(0.432845\pi\)
\(390\) 5.55013 + 9.55357i 0.281042 + 0.483764i
\(391\) 17.8317i 0.901786i
\(392\) −5.69166 3.16574i −0.287472 0.159894i
\(393\) −17.7515 −0.895445
\(394\) 2.73366 0.253865i 0.137720 0.0127895i
\(395\) 23.0260 + 8.44969i 1.15856 + 0.425150i
\(396\) 2.89131 4.22444i 0.145294 0.212286i
\(397\) 2.06126 2.06126i 0.103451 0.103451i −0.653487 0.756938i \(-0.726694\pi\)
0.756938 + 0.653487i \(0.226694\pi\)
\(398\) −17.0985 14.1927i −0.857073 0.711413i
\(399\) −9.98962 −0.500107
\(400\) −18.9013 6.53777i −0.945063 0.326889i
\(401\) 10.1012 0.504431 0.252215 0.967671i \(-0.418841\pi\)
0.252215 + 0.967671i \(0.418841\pi\)
\(402\) 13.2357 + 10.9863i 0.660139 + 0.547948i
\(403\) 4.59952 4.59952i 0.229119 0.229119i
\(404\) −1.32930 0.909811i −0.0661354 0.0452648i
\(405\) 2.09919 + 0.770325i 0.104310 + 0.0382778i
\(406\) 28.8312 2.67744i 1.43087 0.132879i
\(407\) −19.5501 −0.969063
\(408\) −2.84404 9.97292i −0.140801 0.493733i
\(409\) 15.5464i 0.768720i −0.923183 0.384360i \(-0.874422\pi\)
0.923183 0.384360i \(-0.125578\pi\)
\(410\) −10.2844 17.7028i −0.507910 0.874278i
\(411\) 3.45306 3.45306i 0.170327 0.170327i
\(412\) 4.49532 + 23.9945i 0.221469 + 1.18212i
\(413\) −7.53829 + 7.53829i −0.370935 + 0.370935i
\(414\) −5.29223 4.39282i −0.260099 0.215895i
\(415\) −10.4935 + 4.85950i −0.515104 + 0.238543i
\(416\) 8.82760 + 17.6837i 0.432809 + 0.867013i
\(417\) 8.26686i 0.404830i
\(418\) 7.57216 9.12253i 0.370366 0.446198i
\(419\) 0.811206 + 0.811206i 0.0396300 + 0.0396300i 0.726644 0.687014i \(-0.241079\pi\)
−0.687014 + 0.726644i \(0.741079\pi\)
\(420\) 7.91310 + 11.1102i 0.386120 + 0.542120i
\(421\) 6.67755 6.67755i 0.325444 0.325444i −0.525407 0.850851i \(-0.676087\pi\)
0.850851 + 0.525407i \(0.176087\pi\)
\(422\) 33.5339 3.11417i 1.63241 0.151595i
\(423\) −8.24387 −0.400831
\(424\) 10.9671 + 38.4572i 0.532609 + 1.86765i
\(425\) −11.8580 + 13.9812i −0.575197 + 0.678189i
\(426\) 9.34526 0.867859i 0.452779 0.0420479i
\(427\) 24.4558 + 24.4558i 1.18350 + 1.18350i
\(428\) −12.7729 + 18.6622i −0.617401 + 0.902072i
\(429\) 6.32360 + 6.32360i 0.305306 + 0.305306i
\(430\) 18.1293 + 4.80541i 0.874271 + 0.231738i
\(431\) −20.8900 −1.00623 −0.503117 0.864218i \(-0.667814\pi\)
−0.503117 + 0.864218i \(0.667814\pi\)
\(432\) 3.66047 + 1.61274i 0.176115 + 0.0775932i
\(433\) 21.0344i 1.01085i −0.862870 0.505426i \(-0.831336\pi\)
0.862870 0.505426i \(-0.168664\pi\)
\(434\) 5.12891 6.17903i 0.246195 0.296603i
\(435\) −14.0916 5.17110i −0.675641 0.247935i
\(436\) −11.3025 + 16.5139i −0.541294 + 0.790873i
\(437\) −11.2633 11.2633i −0.538799 0.538799i
\(438\) −0.353133 3.80260i −0.0168734 0.181695i
\(439\) 27.5268i 1.31378i −0.753986 0.656891i \(-0.771871\pi\)
0.753986 0.656891i \(-0.228129\pi\)
\(440\) −16.1439 1.19528i −0.769633 0.0569827i
\(441\) 2.30263i 0.109649i
\(442\) 18.0393 1.67524i 0.858040 0.0796829i
\(443\) −15.3577 15.3577i −0.729667 0.729667i 0.240886 0.970553i \(-0.422562\pi\)
−0.970553 + 0.240886i \(0.922562\pi\)
\(444\) −2.81301 15.0149i −0.133499 0.712574i
\(445\) −10.1321 + 27.6106i −0.480306 + 1.30887i
\(446\) 11.6319 + 9.65509i 0.550788 + 0.457182i
\(447\) 21.4230i 1.01327i
\(448\) 12.8700 + 20.7299i 0.608052 + 0.979398i
\(449\) 34.2343 1.61562 0.807808 0.589445i \(-0.200654\pi\)
0.807808 + 0.589445i \(0.200654\pi\)
\(450\) −1.22825 6.96358i −0.0579004 0.328266i
\(451\) −11.7177 11.7177i −0.551763 0.551763i
\(452\) 12.2883 2.30219i 0.577993 0.108286i
\(453\) 2.84279 + 2.84279i 0.133566 + 0.133566i
\(454\) −2.78740 30.0152i −0.130819 1.40868i
\(455\) −21.6227 + 10.0134i −1.01369 + 0.469435i
\(456\) 8.09582 + 4.50295i 0.379121 + 0.210870i
\(457\) −37.3287 −1.74616 −0.873081 0.487575i \(-0.837881\pi\)
−0.873081 + 0.487575i \(0.837881\pi\)
\(458\) 0.598509 + 6.44485i 0.0279665 + 0.301148i
\(459\) 2.59263 2.59263i 0.121014 0.121014i
\(460\) −3.60470 + 21.4488i −0.168070 + 1.00006i
\(461\) 4.31480 + 4.31480i 0.200960 + 0.200960i 0.800411 0.599451i \(-0.204614\pi\)
−0.599451 + 0.800411i \(0.704614\pi\)
\(462\) 8.49517 + 7.05142i 0.395231 + 0.328062i
\(463\) 12.6151i 0.586272i 0.956071 + 0.293136i \(0.0946988\pi\)
−0.956071 + 0.293136i \(0.905301\pi\)
\(464\) −24.5723 10.8262i −1.14074 0.502591i
\(465\) −3.77754 + 1.74937i −0.175179 + 0.0811250i
\(466\) 4.29429 5.17353i 0.198929 0.239659i
\(467\) −3.20222 + 3.20222i −0.148181 + 0.148181i −0.777305 0.629124i \(-0.783414\pi\)
0.629124 + 0.777305i \(0.283414\pi\)
\(468\) −3.94676 + 5.76653i −0.182439 + 0.266558i
\(469\) −26.2321 + 26.2321i −1.21129 + 1.21129i
\(470\) 13.0955 + 22.5416i 0.604049 + 1.03977i
\(471\) 13.9447i 0.642539i
\(472\) 9.50719 2.71122i 0.437604 0.124794i
\(473\) 15.1807 0.698009
\(474\) 1.43442 + 15.4460i 0.0658849 + 0.709460i
\(475\) −1.34113 16.3213i −0.0615352 0.748873i
\(476\) 21.9835 4.11857i 1.00761 0.188775i
\(477\) −9.99761 + 9.99761i −0.457759 + 0.457759i
\(478\) 10.7689 12.9738i 0.492557 0.593406i
\(479\) −9.07562 −0.414676 −0.207338 0.978269i \(-0.566480\pi\)
−0.207338 + 0.978269i \(0.566480\pi\)
\(480\) −1.40491 12.5708i −0.0641249 0.573778i
\(481\) 26.6867 1.21681
\(482\) −25.5611 + 30.7947i −1.16428 + 1.40266i
\(483\) 10.4888 10.4888i 0.477255 0.477255i
\(484\) 8.74506 1.63837i 0.397503 0.0744714i
\(485\) 9.62383 26.2256i 0.436996 1.19084i
\(486\) 0.130770 + 1.40815i 0.00593185 + 0.0638752i
\(487\) −1.02703 −0.0465390 −0.0232695 0.999729i \(-0.507408\pi\)
−0.0232695 + 0.999729i \(0.507408\pi\)
\(488\) −8.79575 30.8432i −0.398165 1.39621i
\(489\) 18.6270i 0.842342i
\(490\) −6.29618 + 3.65775i −0.284433 + 0.165241i
\(491\) −20.0654 + 20.0654i −0.905539 + 0.905539i −0.995908 0.0903689i \(-0.971195\pi\)
0.0903689 + 0.995908i \(0.471195\pi\)
\(492\) 7.31336 10.6854i 0.329712 0.481735i
\(493\) −17.4040 + 17.4040i −0.783837 + 0.783837i
\(494\) −10.3363 + 12.4526i −0.465053 + 0.560271i
\(495\) −2.40510 5.19350i −0.108101 0.233431i
\(496\) −6.94186 + 2.69571i −0.311699 + 0.121041i
\(497\) 20.2416i 0.907958i
\(498\) −5.62766 4.67124i −0.252181 0.209323i
\(499\) 15.1622 + 15.1622i 0.678752 + 0.678752i 0.959718 0.280966i \(-0.0906547\pi\)
−0.280966 + 0.959718i \(0.590655\pi\)
\(500\) −17.0897 + 14.4202i −0.764275 + 0.644890i
\(501\) 0.0431873 0.0431873i 0.00192947 0.00192947i
\(502\) 0.812271 + 8.74667i 0.0362534 + 0.390383i
\(503\) −15.6071 −0.695885 −0.347942 0.937516i \(-0.613120\pi\)
−0.347942 + 0.937516i \(0.613120\pi\)
\(504\) −4.19328 + 7.53906i −0.186784 + 0.335817i
\(505\) −1.63424 + 0.756813i −0.0727228 + 0.0336777i
\(506\) 1.62784 + 17.5289i 0.0723663 + 0.779253i
\(507\) 0.560408 + 0.560408i 0.0248886 + 0.0248886i
\(508\) −27.8916 + 5.22543i −1.23749 + 0.231841i
\(509\) 10.8076 + 10.8076i 0.479040 + 0.479040i 0.904824 0.425785i \(-0.140002\pi\)
−0.425785 + 0.904824i \(0.640002\pi\)
\(510\) −11.2076 2.97072i −0.496279 0.131546i
\(511\) 8.23632 0.364353
\(512\) −1.08587 22.6013i −0.0479893 0.998848i
\(513\) 3.27526i 0.144606i
\(514\) 2.75365 + 2.28567i 0.121458 + 0.100817i
\(515\) 25.6227 + 9.40257i 1.12907 + 0.414327i
\(516\) 2.18430 + 11.6591i 0.0961586 + 0.513262i
\(517\) 14.9205 + 14.9205i 0.656202 + 0.656202i
\(518\) 32.8047 3.04645i 1.44135 0.133853i
\(519\) 11.3367i 0.497624i
\(520\) 22.0372 + 1.63161i 0.966393 + 0.0715507i
\(521\) 32.1238i 1.40737i 0.710513 + 0.703684i \(0.248463\pi\)
−0.710513 + 0.703684i \(0.751537\pi\)
\(522\) −0.877843 9.45277i −0.0384222 0.413737i
\(523\) −3.26553 3.26553i −0.142792 0.142792i 0.632097 0.774889i \(-0.282194\pi\)
−0.774889 + 0.632097i \(0.782194\pi\)
\(524\) −20.0523 + 29.2979i −0.875987 + 1.27989i
\(525\) 15.1989 1.24890i 0.663334 0.0545064i
\(526\) −0.488641 + 0.588689i −0.0213058 + 0.0256681i
\(527\) 6.82607i 0.297348i
\(528\) −3.70616 9.54393i −0.161290 0.415346i
\(529\) 0.652259 0.0283591
\(530\) 43.2182 + 11.4556i 1.87728 + 0.497599i
\(531\) 2.47155 + 2.47155i 0.107256 + 0.107256i
\(532\) −11.2844 + 16.4874i −0.489240 + 0.714818i
\(533\) 15.9951 + 15.9951i 0.692824 + 0.692824i
\(534\) −18.5214 + 1.72001i −0.801499 + 0.0744322i
\(535\) 10.6249 + 22.9432i 0.459356 + 0.991922i
\(536\) 33.0836 9.43465i 1.42899 0.407515i
\(537\) 16.7375 0.722278
\(538\) −5.97805 + 0.555159i −0.257732 + 0.0239346i
\(539\) −4.16751 + 4.16751i −0.179507 + 0.179507i
\(540\) 3.64265 2.59444i 0.156755 0.111647i
\(541\) −25.5767 25.5767i −1.09963 1.09963i −0.994454 0.105176i \(-0.966459\pi\)
−0.105176 0.994454i \(-0.533541\pi\)
\(542\) −7.62623 + 9.18767i −0.327574 + 0.394644i
\(543\) 5.13913i 0.220541i
\(544\) −19.6724 6.57157i −0.843449 0.281754i
\(545\) 9.40186 + 20.3021i 0.402731 + 0.869647i
\(546\) −11.5963 9.62548i −0.496274 0.411932i
\(547\) −6.44163 + 6.44163i −0.275424 + 0.275424i −0.831279 0.555855i \(-0.812391\pi\)
0.555855 + 0.831279i \(0.312391\pi\)
\(548\) −1.79849 9.59971i −0.0768276 0.410079i
\(549\) 8.01822 8.01822i 0.342209 0.342209i
\(550\) −10.3803 + 14.8263i −0.442617 + 0.632196i
\(551\) 21.9864i 0.936654i
\(552\) −13.2283 + 3.77239i −0.563033 + 0.160563i
\(553\) −33.4557 −1.42268
\(554\) 24.3937 2.26536i 1.03639 0.0962457i
\(555\) −16.0337 5.88378i −0.680594 0.249753i
\(556\) −13.6440 9.33833i −0.578636 0.396033i
\(557\) 1.38276 1.38276i 0.0585893 0.0585893i −0.677205 0.735794i \(-0.736809\pi\)
0.735794 + 0.677205i \(0.236809\pi\)
\(558\) −2.02590 1.68160i −0.0857631 0.0711877i
\(559\) −20.7223 −0.876459
\(560\) 27.2755 0.510018i 1.15260 0.0215522i
\(561\) −9.38474 −0.396224
\(562\) −18.1631 15.0763i −0.766165 0.635955i
\(563\) −4.13198 + 4.13198i −0.174142 + 0.174142i −0.788797 0.614654i \(-0.789296\pi\)
0.614654 + 0.788797i \(0.289296\pi\)
\(564\) −9.31236 + 13.6061i −0.392121 + 0.572920i
\(565\) 4.81534 13.1221i 0.202583 0.552053i
\(566\) 2.50522 0.232650i 0.105302 0.00977900i
\(567\) −3.05002 −0.128089
\(568\) 9.12414 16.4042i 0.382840 0.688306i
\(569\) 14.2348i 0.596755i −0.954448 0.298378i \(-0.903554\pi\)
0.954448 0.298378i \(-0.0964455\pi\)
\(570\) 8.95569 5.20279i 0.375113 0.217921i
\(571\) 14.6986 14.6986i 0.615116 0.615116i −0.329158 0.944275i \(-0.606765\pi\)
0.944275 + 0.329158i \(0.106765\pi\)
\(572\) 17.5800 3.29358i 0.735056 0.137711i
\(573\) 13.4932 13.4932i 0.563686 0.563686i
\(574\) 21.4879 + 17.8360i 0.896887 + 0.744462i
\(575\) 18.5450 + 15.7287i 0.773378 + 0.655931i
\(576\) 6.79666 4.21965i 0.283194 0.175819i
\(577\) 8.52221i 0.354784i −0.984140 0.177392i \(-0.943234\pi\)
0.984140 0.177392i \(-0.0567661\pi\)
\(578\) 3.21244 3.87017i 0.133620 0.160978i
\(579\) 2.11436 + 2.11436i 0.0878696 + 0.0878696i
\(580\) −24.4527 + 17.4162i −1.01534 + 0.723167i
\(581\) 11.1536 11.1536i 0.462728 0.462728i
\(582\) 17.5924 1.63374i 0.729227 0.0677206i
\(583\) 36.1891 1.49880
\(584\) −6.67490 3.71263i −0.276209 0.153630i
\(585\) 3.28306 + 7.08935i 0.135738 + 0.293108i
\(586\) 24.7329 2.29685i 1.02171 0.0948820i
\(587\) −13.9568 13.9568i −0.576057 0.576057i 0.357757 0.933815i \(-0.383541\pi\)
−0.933815 + 0.357757i \(0.883541\pi\)
\(588\) −3.80037 2.60107i −0.156725 0.107267i
\(589\) −4.31168 4.31168i −0.177660 0.177660i
\(590\) 2.83199 10.6842i 0.116591 0.439860i
\(591\) 1.94131 0.0798547
\(592\) −27.9589 12.3182i −1.14910 0.506276i
\(593\) 22.9285i 0.941561i −0.882250 0.470781i \(-0.843972\pi\)
0.882250 0.470781i \(-0.156028\pi\)
\(594\) 2.31192 2.78528i 0.0948594 0.114282i
\(595\) 8.61455 23.4752i 0.353162 0.962391i
\(596\) 35.3575 + 24.1996i 1.44830 + 0.991254i
\(597\) −11.1107 11.1107i −0.454731 0.454731i
\(598\) −2.22207 23.9276i −0.0908671 0.978473i
\(599\) 15.8822i 0.648928i 0.945898 + 0.324464i \(0.105184\pi\)
−0.945898 + 0.324464i \(0.894816\pi\)
\(600\) −12.8805 5.83895i −0.525843 0.238374i
\(601\) 4.12190i 0.168136i 0.996460 + 0.0840680i \(0.0267913\pi\)
−0.996460 + 0.0840680i \(0.973209\pi\)
\(602\) −25.4729 + 2.36557i −1.03820 + 0.0964134i
\(603\) 8.60064 + 8.60064i 0.350245 + 0.350245i
\(604\) 7.90313 1.48064i 0.321574 0.0602462i
\(605\) 3.42687 9.33847i 0.139322 0.379663i
\(606\) −0.876445 0.727494i −0.0356032 0.0295524i
\(607\) 26.7142i 1.08429i −0.840283 0.542147i \(-0.817611\pi\)
0.840283 0.542147i \(-0.182389\pi\)
\(608\) 16.5770 8.27515i 0.672286 0.335602i
\(609\) 20.4744 0.829666
\(610\) −34.6616 9.18754i −1.40341 0.371993i
\(611\) −20.3671 20.3671i −0.823964 0.823964i
\(612\) −1.35034 7.20766i −0.0545844 0.291353i
\(613\) −10.0253 10.0253i −0.404918 0.404918i 0.475044 0.879962i \(-0.342432\pi\)
−0.879962 + 0.475044i \(0.842432\pi\)
\(614\) −4.01302 43.2129i −0.161952 1.74393i
\(615\) −6.08351 13.1366i −0.245311 0.529718i
\(616\) 21.2342 6.05549i 0.855552 0.243983i
\(617\) −26.3757 −1.06185 −0.530923 0.847420i \(-0.678155\pi\)
−0.530923 + 0.847420i \(0.678155\pi\)
\(618\) 1.59618 + 17.1879i 0.0642076 + 0.691399i
\(619\) −7.39439 + 7.39439i −0.297206 + 0.297206i −0.839918 0.542713i \(-0.817397\pi\)
0.542713 + 0.839918i \(0.317397\pi\)
\(620\) −1.37990 + 8.21073i −0.0554182 + 0.329751i
\(621\) −3.43891 3.43891i −0.137999 0.137999i
\(622\) −14.8619 12.3361i −0.595908 0.494634i
\(623\) 40.1168i 1.60725i
\(624\) 5.05906 + 13.0279i 0.202525 + 0.521532i
\(625\) 4.08096 + 24.6647i 0.163239 + 0.986587i
\(626\) −12.4230 + 14.9665i −0.496521 + 0.598182i
\(627\) 5.92786 5.92786i 0.236736 0.236736i
\(628\) −23.0150 15.7521i −0.918400 0.628577i
\(629\) −19.8026 + 19.8026i −0.789583 + 0.789583i
\(630\) 4.84499 + 8.33981i 0.193029 + 0.332266i
\(631\) 34.8730i 1.38827i −0.719844 0.694136i \(-0.755787\pi\)
0.719844 0.694136i \(-0.244213\pi\)
\(632\) 27.1132 + 15.0806i 1.07851 + 0.599873i
\(633\) 23.8141 0.946525
\(634\) 3.05720 + 32.9205i 0.121417 + 1.30744i
\(635\) −10.9297 + 29.7842i −0.433732 + 1.18195i
\(636\) 5.20715 + 27.7939i 0.206477 + 1.10210i
\(637\) 5.68882 5.68882i 0.225399 0.225399i
\(638\) −15.5197 + 18.6973i −0.614429 + 0.740232i
\(639\) 6.63653 0.262537
\(640\) −22.3345 11.8814i −0.882850 0.469655i
\(641\) 6.05015 0.238966 0.119483 0.992836i \(-0.461876\pi\)
0.119483 + 0.992836i \(0.461876\pi\)
\(642\) −10.2133 + 12.3045i −0.403088 + 0.485619i
\(643\) 7.52447 7.52447i 0.296736 0.296736i −0.542998 0.839734i \(-0.682711\pi\)
0.839734 + 0.542998i \(0.182711\pi\)
\(644\) −5.46296 29.1594i −0.215271 1.14904i
\(645\) 12.4502 + 4.56876i 0.490226 + 0.179895i
\(646\) −1.57040 16.9103i −0.0617865 0.665328i
\(647\) 24.8356 0.976389 0.488194 0.872735i \(-0.337656\pi\)
0.488194 + 0.872735i \(0.337656\pi\)
\(648\) 2.47181 + 1.37484i 0.0971017 + 0.0540087i
\(649\) 8.94648i 0.351180i
\(650\) 14.1695 20.2385i 0.555775 0.793820i
\(651\) 4.01516 4.01516i 0.157367 0.157367i
\(652\) 30.7429 + 21.0412i 1.20399 + 0.824039i
\(653\) 20.0550 20.0550i 0.784813 0.784813i −0.195826 0.980639i \(-0.562739\pi\)
0.980639 + 0.195826i \(0.0627386\pi\)
\(654\) −9.03763 + 10.8881i −0.353399 + 0.425757i
\(655\) 16.6802 + 36.0187i 0.651749 + 1.40737i
\(656\) −9.37446 24.1407i −0.366011 0.942535i
\(657\) 2.70041i 0.105353i
\(658\) −27.3613 22.7112i −1.06665 0.885376i
\(659\) 20.7719 + 20.7719i 0.809158 + 0.809158i 0.984506 0.175349i \(-0.0561053\pi\)
−0.175349 + 0.984506i \(0.556105\pi\)
\(660\) −11.2884 1.89714i −0.439402 0.0738461i
\(661\) −11.2908 + 11.2908i −0.439161 + 0.439161i −0.891730 0.452568i \(-0.850508\pi\)
0.452568 + 0.891730i \(0.350508\pi\)
\(662\) 1.48907 + 16.0346i 0.0578744 + 0.623202i
\(663\) 12.8106 0.497521
\(664\) −14.0667 + 4.01149i −0.545894 + 0.155676i
\(665\) 9.38674 + 20.2695i 0.364002 + 0.786017i
\(666\) −0.998828 10.7556i −0.0387038 0.416769i
\(667\) 23.0850 + 23.0850i 0.893855 + 0.893855i
\(668\) −0.0224936 0.120063i −0.000870305 0.00464539i
\(669\) 7.55849 + 7.55849i 0.292228 + 0.292228i
\(670\) 9.85489 37.1793i 0.380728 1.43636i
\(671\) −29.0242 −1.12047
\(672\) 7.70607 + 15.4370i 0.297268 + 0.595495i
\(673\) 1.03722i 0.0399820i −0.999800 0.0199910i \(-0.993636\pi\)
0.999800 0.0199910i \(-0.00636376\pi\)
\(674\) −5.19858 4.31508i −0.200242 0.166211i
\(675\) −0.409472 4.98321i −0.0157606 0.191804i
\(676\) 1.55797 0.291882i 0.0599218 0.0112262i
\(677\) 18.4431 + 18.4431i 0.708825 + 0.708825i 0.966288 0.257463i \(-0.0828867\pi\)
−0.257463 + 0.966288i \(0.582887\pi\)
\(678\) 8.80245 0.817450i 0.338056 0.0313940i
\(679\) 38.1046i 1.46232i
\(680\) −17.5632 + 15.1418i −0.673518 + 0.580660i
\(681\) 21.3153i 0.816802i
\(682\) 0.623147 + 6.71015i 0.0238615 + 0.256945i
\(683\) 0.922102 + 0.922102i 0.0352833 + 0.0352833i 0.724528 0.689245i \(-0.242058\pi\)
−0.689245 + 0.724528i \(0.742058\pi\)
\(684\) 5.40565 + 3.69977i 0.206690 + 0.141464i
\(685\) −10.2511 3.76178i −0.391675 0.143730i
\(686\) −12.9409 + 15.5905i −0.494086 + 0.595248i
\(687\) 4.57681i 0.174616i
\(688\) 21.7101 + 9.56511i 0.827690 + 0.364666i
\(689\) −49.3997 −1.88198
\(690\) −3.94042 + 14.8659i −0.150009 + 0.565936i
\(691\) −7.34104 7.34104i −0.279266 0.279266i 0.553550 0.832816i \(-0.313273\pi\)
−0.832816 + 0.553550i \(0.813273\pi\)
\(692\) −18.7106 12.8060i −0.711269 0.486811i
\(693\) 5.52020 + 5.52020i 0.209695 + 0.209695i
\(694\) −6.62495 + 0.615235i −0.251480 + 0.0233540i
\(695\) −16.7739 + 7.76795i −0.636271 + 0.294655i
\(696\) −16.5929 9.22911i −0.628954 0.349828i
\(697\) −23.7380 −0.899141
\(698\) 43.5300 4.04246i 1.64763 0.153009i
\(699\) 3.36178 3.36178i 0.127154 0.127154i
\(700\) 15.1076 26.4957i 0.571012 1.00145i
\(701\) 25.7637 + 25.7637i 0.973080 + 0.973080i 0.999647 0.0265667i \(-0.00845745\pi\)
−0.0265667 + 0.999647i \(0.508457\pi\)
\(702\) −3.15587 + 3.80203i −0.119111 + 0.143498i
\(703\) 25.0166i 0.943520i
\(704\) −19.9383 4.66409i −0.751453 0.175785i
\(705\) 7.74635 + 16.7273i 0.291744 + 0.629985i
\(706\) −5.65242 4.69179i −0.212732 0.176578i
\(707\) 1.73704 1.73704i 0.0653282 0.0653282i
\(708\) 6.87107 1.28728i 0.258230 0.0483790i
\(709\) 18.8691 18.8691i 0.708645 0.708645i −0.257605 0.966250i \(-0.582933\pi\)
0.966250 + 0.257605i \(0.0829335\pi\)
\(710\) −10.5422 18.1466i −0.395642 0.681028i
\(711\) 10.9690i 0.411369i
\(712\) −18.0832 + 32.5116i −0.677695 + 1.21842i
\(713\) 9.05423 0.339084
\(714\) 15.7474 1.46240i 0.589331 0.0547290i
\(715\) 6.88896 18.7729i 0.257632 0.702067i
\(716\) 18.9069 27.6245i 0.706584 1.03237i
\(717\) 8.43041 8.43041i 0.314839 0.314839i
\(718\) −22.8644 18.9786i −0.853290 0.708274i
\(719\) −48.8119 −1.82038 −0.910189 0.414194i \(-0.864063\pi\)
−0.910189 + 0.414194i \(0.864063\pi\)
\(720\) −0.167218 8.94271i −0.00623184 0.333275i
\(721\) −37.2285 −1.38646
\(722\) −9.00217 7.47225i −0.335026 0.278088i
\(723\) −20.0105 + 20.0105i −0.744199 + 0.744199i
\(724\) −8.48187 5.80521i −0.315226 0.215749i
\(725\) 2.74873 + 33.4517i 0.102085 + 1.24236i
\(726\) 6.26432 0.581744i 0.232491 0.0215906i
\(727\) 20.2737 0.751908 0.375954 0.926638i \(-0.377315\pi\)
0.375954 + 0.926638i \(0.377315\pi\)
\(728\) −28.9856 + 8.26600i −1.07428 + 0.306358i
\(729\) 1.00000i 0.0370370i
\(730\) −7.38386 + 4.28964i −0.273289 + 0.158767i
\(731\) 15.3768 15.3768i 0.568730 0.568730i
\(732\) −4.17620 22.2911i −0.154357 0.823904i
\(733\) −21.1889 + 21.1889i −0.782631 + 0.782631i −0.980274 0.197643i \(-0.936671\pi\)
0.197643 + 0.980274i \(0.436671\pi\)
\(734\) −26.7535 22.2068i −0.987490 0.819666i
\(735\) −4.67216 + 2.16367i −0.172335 + 0.0798080i
\(736\) −8.71666 + 26.0939i −0.321300 + 0.961834i
\(737\) 31.1324i 1.14678i
\(738\) 5.84784 7.04516i 0.215262 0.259336i
\(739\) −3.65840 3.65840i −0.134576 0.134576i 0.636610 0.771186i \(-0.280336\pi\)
−0.771186 + 0.636610i \(0.780336\pi\)
\(740\) −27.8227 + 19.8165i −1.02278 + 0.728467i
\(741\) −8.09178 + 8.09178i −0.297259 + 0.297259i
\(742\) −60.7246 + 5.63926i −2.22927 + 0.207024i
\(743\) −4.42017 −0.162160 −0.0810802 0.996708i \(-0.525837\pi\)
−0.0810802 + 0.996708i \(0.525837\pi\)
\(744\) −5.06386 + 1.44409i −0.185650 + 0.0529430i
\(745\) 43.4684 20.1301i 1.59256 0.737509i
\(746\) −1.99918 + 0.185656i −0.0731952 + 0.00679736i
\(747\) −3.65688 3.65688i −0.133798 0.133798i
\(748\) −10.6011 + 15.4890i −0.387615 + 0.566335i
\(749\) −24.3865 24.3865i −0.891062 0.891062i
\(750\) −12.9753 + 9.03551i −0.473793 + 0.329930i
\(751\) 30.4414 1.11082 0.555411 0.831576i \(-0.312561\pi\)
0.555411 + 0.831576i \(0.312561\pi\)
\(752\) 11.9368 + 30.7391i 0.435291 + 1.12094i
\(753\) 6.21144i 0.226358i
\(754\) 21.1850 25.5225i 0.771512 0.929476i
\(755\) 3.09695 8.43940i 0.112710 0.307141i
\(756\) −3.44533 + 5.03390i −0.125306 + 0.183081i
\(757\) −18.5016 18.5016i −0.672454 0.672454i 0.285828 0.958281i \(-0.407732\pi\)
−0.958281 + 0.285828i \(0.907732\pi\)
\(758\) 0.913071 + 9.83211i 0.0331642 + 0.357118i
\(759\) 12.4481i 0.451838i
\(760\) 1.52950 20.6580i 0.0554807 0.749346i
\(761\) 11.9248i 0.432273i 0.976363 + 0.216137i \(0.0693456\pi\)
−0.976363 + 0.216137i \(0.930654\pi\)
\(762\) −19.9795 + 1.85542i −0.723780 + 0.0672148i
\(763\) −21.5792 21.5792i −0.781220 0.781220i
\(764\) −7.02778 37.5119i −0.254256 1.35713i
\(765\) −7.69675 2.82442i −0.278277 0.102117i
\(766\) 4.62817 + 3.84161i 0.167223 + 0.138803i
\(767\) 12.2123i 0.440961i
\(768\) 0.713251 15.9841i 0.0257372 0.576776i
\(769\) 51.5679 1.85958 0.929792 0.368085i \(-0.119986\pi\)
0.929792 + 0.368085i \(0.119986\pi\)
\(770\) 6.32522 23.8630i 0.227945 0.859963i
\(771\) 1.78934 + 1.78934i 0.0644414 + 0.0644414i
\(772\) 5.87803 1.10124i 0.211555 0.0396345i
\(773\) −13.7126 13.7126i −0.493209 0.493209i 0.416107 0.909316i \(-0.363394\pi\)
−0.909316 + 0.416107i \(0.863394\pi\)
\(774\) 0.775591 + 8.35170i 0.0278780 + 0.300196i
\(775\) 7.09912 + 6.02103i