Properties

Label 273.2.r.b.68.15
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.15
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.18

$q$-expansion

\(f(q)\) \(=\) \(q-0.546208i q^{2} +(-1.72803 + 0.117898i) q^{3} +1.70166 q^{4} +(-1.25657 + 2.17644i) q^{5} +(0.0643970 + 0.943866i) q^{6} +(-0.612705 - 2.57383i) q^{7} -2.02188i q^{8} +(2.97220 - 0.407464i) q^{9} +O(q^{10})\) \(q-0.546208i q^{2} +(-1.72803 + 0.117898i) q^{3} +1.70166 q^{4} +(-1.25657 + 2.17644i) q^{5} +(0.0643970 + 0.943866i) q^{6} +(-0.612705 - 2.57383i) q^{7} -2.02188i q^{8} +(2.97220 - 0.407464i) q^{9} +(1.18879 + 0.686349i) q^{10} +(5.22008 + 3.01382i) q^{11} +(-2.94052 + 0.200622i) q^{12} +(1.89716 + 3.06607i) q^{13} +(-1.40585 + 0.334664i) q^{14} +(1.91480 - 3.90911i) q^{15} +2.29895 q^{16} +0.647303 q^{17} +(-0.222560 - 1.62344i) q^{18} +(1.98801 - 1.14778i) q^{19} +(-2.13825 + 3.70356i) q^{20} +(1.36222 + 4.37543i) q^{21} +(1.64617 - 2.85125i) q^{22} -1.03331i q^{23} +(0.238376 + 3.49387i) q^{24} +(-0.657937 - 1.13958i) q^{25} +(1.67471 - 1.03624i) q^{26} +(-5.08802 + 1.05453i) q^{27} +(-1.04261 - 4.37977i) q^{28} +(-4.46255 + 2.57646i) q^{29} +(-2.13519 - 1.04588i) q^{30} +(9.25745 - 5.34479i) q^{31} -5.29946i q^{32} +(-9.37580 - 4.59254i) q^{33} -0.353562i q^{34} +(6.37170 + 1.90068i) q^{35} +(5.05766 - 0.693365i) q^{36} -3.95532 q^{37} +(-0.626924 - 1.08587i) q^{38} +(-3.63983 - 5.07460i) q^{39} +(4.40050 + 2.54063i) q^{40} +(-4.48689 - 7.77153i) q^{41} +(2.38989 - 0.744058i) q^{42} +(-4.09951 + 7.10056i) q^{43} +(8.88279 + 5.12848i) q^{44} +(-2.84795 + 6.98083i) q^{45} -0.564403 q^{46} +(-2.09646 + 3.63118i) q^{47} +(-3.97266 + 0.271042i) q^{48} +(-6.24919 + 3.15399i) q^{49} +(-0.622448 + 0.359370i) q^{50} +(-1.11856 + 0.0763159i) q^{51} +(3.22831 + 5.21740i) q^{52} +(-0.0406517 + 0.0234703i) q^{53} +(0.575993 + 2.77912i) q^{54} +(-13.1188 + 7.57414i) q^{55} +(-5.20396 + 1.23881i) q^{56} +(-3.30002 + 2.21778i) q^{57} +(1.40728 + 2.43748i) q^{58} +1.66230 q^{59} +(3.25833 - 6.65197i) q^{60} +(-3.11142 + 1.79638i) q^{61} +(-2.91937 - 5.05650i) q^{62} +(-2.86983 - 7.40028i) q^{63} +1.70329 q^{64} +(-9.05704 + 0.276316i) q^{65} +(-2.50848 + 5.12114i) q^{66} +(-0.761254 + 1.31853i) q^{67} +1.10149 q^{68} +(0.121826 + 1.78560i) q^{69} +(1.03817 - 3.48027i) q^{70} +(-11.4729 - 6.62389i) q^{71} +(-0.823842 - 6.00942i) q^{72} +(4.76835 - 2.75301i) q^{73} +2.16043i q^{74} +(1.27129 + 1.89166i) q^{75} +(3.38290 - 1.95312i) q^{76} +(4.55868 - 15.2822i) q^{77} +(-2.77179 + 1.98811i) q^{78} +(-2.14796 + 3.72038i) q^{79} +(-2.88879 + 5.00353i) q^{80} +(8.66795 - 2.42213i) q^{81} +(-4.24487 + 2.45078i) q^{82} +11.8816 q^{83} +(2.31804 + 7.44547i) q^{84} +(-0.813381 + 1.40882i) q^{85} +(3.87838 + 2.23919i) q^{86} +(7.40768 - 4.97833i) q^{87} +(6.09356 - 10.5544i) q^{88} -1.01554 q^{89} +(3.81299 + 1.55558i) q^{90} +(6.72915 - 6.76155i) q^{91} -1.75834i q^{92} +(-15.3671 + 10.3274i) q^{93} +(1.98338 + 1.14510i) q^{94} +5.76904i q^{95} +(0.624797 + 9.15764i) q^{96} +(-8.58147 - 4.95452i) q^{97} +(1.72274 + 3.41336i) q^{98} +(16.7432 + 6.83067i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.546208i 0.386228i −0.981176 0.193114i \(-0.938141\pi\)
0.981176 0.193114i \(-0.0618587\pi\)
\(3\) −1.72803 + 0.117898i −0.997681 + 0.0680686i
\(4\) 1.70166 0.850828
\(5\) −1.25657 + 2.17644i −0.561955 + 0.973335i 0.435371 + 0.900251i \(0.356617\pi\)
−0.997326 + 0.0730836i \(0.976716\pi\)
\(6\) 0.0643970 + 0.943866i 0.0262900 + 0.385332i
\(7\) −0.612705 2.57383i −0.231581 0.972816i
\(8\) 2.02188i 0.714841i
\(9\) 2.97220 0.407464i 0.990733 0.135821i
\(10\) 1.18879 + 0.686349i 0.375929 + 0.217043i
\(11\) 5.22008 + 3.01382i 1.57391 + 0.908700i 0.995682 + 0.0928275i \(0.0295905\pi\)
0.578232 + 0.815872i \(0.303743\pi\)
\(12\) −2.94052 + 0.200622i −0.848855 + 0.0579147i
\(13\) 1.89716 + 3.06607i 0.526176 + 0.850376i
\(14\) −1.40585 + 0.334664i −0.375728 + 0.0894428i
\(15\) 1.91480 3.90911i 0.494398 1.00933i
\(16\) 2.29895 0.574737
\(17\) 0.647303 0.156994 0.0784970 0.996914i \(-0.474988\pi\)
0.0784970 + 0.996914i \(0.474988\pi\)
\(18\) −0.222560 1.62344i −0.0524580 0.382649i
\(19\) 1.98801 1.14778i 0.456080 0.263318i −0.254315 0.967122i \(-0.581850\pi\)
0.710394 + 0.703804i \(0.248517\pi\)
\(20\) −2.13825 + 3.70356i −0.478127 + 0.828141i
\(21\) 1.36222 + 4.37543i 0.297262 + 0.954796i
\(22\) 1.64617 2.85125i 0.350965 0.607889i
\(23\) 1.03331i 0.215460i −0.994180 0.107730i \(-0.965642\pi\)
0.994180 0.107730i \(-0.0343582\pi\)
\(24\) 0.238376 + 3.49387i 0.0486582 + 0.713183i
\(25\) −0.657937 1.13958i −0.131587 0.227916i
\(26\) 1.67471 1.03624i 0.328438 0.203224i
\(27\) −5.08802 + 1.05453i −0.979190 + 0.202944i
\(28\) −1.04261 4.37977i −0.197035 0.827699i
\(29\) −4.46255 + 2.57646i −0.828676 + 0.478436i −0.853399 0.521258i \(-0.825463\pi\)
0.0247234 + 0.999694i \(0.492129\pi\)
\(30\) −2.13519 1.04588i −0.389831 0.190950i
\(31\) 9.25745 5.34479i 1.66269 0.959953i 0.691264 0.722602i \(-0.257054\pi\)
0.971424 0.237351i \(-0.0762792\pi\)
\(32\) 5.29946i 0.936820i
\(33\) −9.37580 4.59254i −1.63212 0.799458i
\(34\) 0.353562i 0.0606354i
\(35\) 6.37170 + 1.90068i 1.07701 + 0.321273i
\(36\) 5.05766 0.693365i 0.842944 0.115561i
\(37\) −3.95532 −0.650251 −0.325126 0.945671i \(-0.605407\pi\)
−0.325126 + 0.945671i \(0.605407\pi\)
\(38\) −0.626924 1.08587i −0.101701 0.176151i
\(39\) −3.63983 5.07460i −0.582840 0.812587i
\(40\) 4.40050 + 2.54063i 0.695780 + 0.401709i
\(41\) −4.48689 7.77153i −0.700735 1.21371i −0.968209 0.250143i \(-0.919522\pi\)
0.267474 0.963565i \(-0.413811\pi\)
\(42\) 2.38989 0.744058i 0.368769 0.114811i
\(43\) −4.09951 + 7.10056i −0.625169 + 1.08282i 0.363339 + 0.931657i \(0.381637\pi\)
−0.988508 + 0.151168i \(0.951697\pi\)
\(44\) 8.88279 + 5.12848i 1.33913 + 0.773147i
\(45\) −2.84795 + 6.98083i −0.424548 + 1.04064i
\(46\) −0.564403 −0.0832167
\(47\) −2.09646 + 3.63118i −0.305800 + 0.529662i −0.977439 0.211217i \(-0.932257\pi\)
0.671639 + 0.740879i \(0.265591\pi\)
\(48\) −3.97266 + 0.271042i −0.573404 + 0.0391216i
\(49\) −6.24919 + 3.15399i −0.892741 + 0.450571i
\(50\) −0.622448 + 0.359370i −0.0880274 + 0.0508226i
\(51\) −1.11856 + 0.0763159i −0.156630 + 0.0106864i
\(52\) 3.22831 + 5.21740i 0.447686 + 0.723524i
\(53\) −0.0406517 + 0.0234703i −0.00558394 + 0.00322389i −0.502789 0.864409i \(-0.667693\pi\)
0.497205 + 0.867633i \(0.334360\pi\)
\(54\) 0.575993 + 2.77912i 0.0783827 + 0.378190i
\(55\) −13.1188 + 7.57414i −1.76894 + 1.02130i
\(56\) −5.20396 + 1.23881i −0.695408 + 0.165543i
\(57\) −3.30002 + 2.21778i −0.437098 + 0.293752i
\(58\) 1.40728 + 2.43748i 0.184785 + 0.320057i
\(59\) 1.66230 0.216413 0.108206 0.994128i \(-0.465489\pi\)
0.108206 + 0.994128i \(0.465489\pi\)
\(60\) 3.25833 6.65197i 0.420648 0.858766i
\(61\) −3.11142 + 1.79638i −0.398377 + 0.230003i −0.685783 0.727806i \(-0.740540\pi\)
0.287406 + 0.957809i \(0.407207\pi\)
\(62\) −2.91937 5.05650i −0.370760 0.642176i
\(63\) −2.86983 7.40028i −0.361564 0.932347i
\(64\) 1.70329 0.212911
\(65\) −9.05704 + 0.276316i −1.12339 + 0.0342728i
\(66\) −2.50848 + 5.12114i −0.308773 + 0.630369i
\(67\) −0.761254 + 1.31853i −0.0930020 + 0.161084i −0.908773 0.417291i \(-0.862980\pi\)
0.815771 + 0.578375i \(0.196313\pi\)
\(68\) 1.10149 0.133575
\(69\) 0.121826 + 1.78560i 0.0146661 + 0.214961i
\(70\) 1.03817 3.48027i 0.124085 0.415972i
\(71\) −11.4729 6.62389i −1.36158 0.786111i −0.371749 0.928333i \(-0.621242\pi\)
−0.989835 + 0.142222i \(0.954575\pi\)
\(72\) −0.823842 6.00942i −0.0970908 0.708217i
\(73\) 4.76835 2.75301i 0.558093 0.322215i −0.194287 0.980945i \(-0.562239\pi\)
0.752380 + 0.658730i \(0.228906\pi\)
\(74\) 2.16043i 0.251145i
\(75\) 1.27129 + 1.89166i 0.146796 + 0.218430i
\(76\) 3.38290 1.95312i 0.388046 0.224038i
\(77\) 4.55868 15.2822i 0.519509 1.74157i
\(78\) −2.77179 + 1.98811i −0.313844 + 0.225109i
\(79\) −2.14796 + 3.72038i −0.241665 + 0.418575i −0.961189 0.275892i \(-0.911027\pi\)
0.719524 + 0.694468i \(0.244360\pi\)
\(80\) −2.88879 + 5.00353i −0.322976 + 0.559412i
\(81\) 8.66795 2.42213i 0.963105 0.269126i
\(82\) −4.24487 + 2.45078i −0.468768 + 0.270643i
\(83\) 11.8816 1.30417 0.652085 0.758146i \(-0.273894\pi\)
0.652085 + 0.758146i \(0.273894\pi\)
\(84\) 2.31804 + 7.44547i 0.252919 + 0.812367i
\(85\) −0.813381 + 1.40882i −0.0882236 + 0.152808i
\(86\) 3.87838 + 2.23919i 0.418217 + 0.241458i
\(87\) 7.40768 4.97833i 0.794187 0.533733i
\(88\) 6.09356 10.5544i 0.649576 1.12510i
\(89\) −1.01554 −0.107647 −0.0538234 0.998550i \(-0.517141\pi\)
−0.0538234 + 0.998550i \(0.517141\pi\)
\(90\) 3.81299 + 1.55558i 0.401924 + 0.163972i
\(91\) 6.72915 6.76155i 0.705406 0.708803i
\(92\) 1.75834i 0.183320i
\(93\) −15.3671 + 10.3274i −1.59349 + 1.07090i
\(94\) 1.98338 + 1.14510i 0.204570 + 0.118109i
\(95\) 5.76904i 0.591891i
\(96\) 0.624797 + 9.15764i 0.0637681 + 0.934647i
\(97\) −8.58147 4.95452i −0.871317 0.503055i −0.00353111 0.999994i \(-0.501124\pi\)
−0.867786 + 0.496939i \(0.834457\pi\)
\(98\) 1.72274 + 3.41336i 0.174023 + 0.344801i
\(99\) 16.7432 + 6.83067i 1.68275 + 0.686508i
\(100\) −1.11958 1.93917i −0.111958 0.193917i
\(101\) −2.65864 + 4.60490i −0.264545 + 0.458205i −0.967444 0.253084i \(-0.918555\pi\)
0.702900 + 0.711289i \(0.251888\pi\)
\(102\) 0.0416844 + 0.610967i 0.00412737 + 0.0604948i
\(103\) 2.41439 + 1.39395i 0.237897 + 0.137350i 0.614210 0.789143i \(-0.289475\pi\)
−0.376313 + 0.926493i \(0.622808\pi\)
\(104\) 6.19922 3.83581i 0.607883 0.376132i
\(105\) −11.2346 2.53322i −1.09638 0.247217i
\(106\) 0.0128197 + 0.0222043i 0.00124515 + 0.00215667i
\(107\) 19.2241i 1.85846i −0.369502 0.929230i \(-0.620472\pi\)
0.369502 0.929230i \(-0.379528\pi\)
\(108\) −8.65807 + 1.79445i −0.833123 + 0.172671i
\(109\) −3.02537 5.24009i −0.289778 0.501910i 0.683979 0.729502i \(-0.260248\pi\)
−0.973757 + 0.227592i \(0.926915\pi\)
\(110\) 4.13706 + 7.16560i 0.394453 + 0.683213i
\(111\) 6.83493 0.466326i 0.648743 0.0442617i
\(112\) −1.40858 5.91710i −0.133098 0.559113i
\(113\) 7.42599 + 4.28740i 0.698578 + 0.403324i 0.806818 0.590800i \(-0.201188\pi\)
−0.108239 + 0.994125i \(0.534521\pi\)
\(114\) 1.21137 + 1.80250i 0.113455 + 0.168819i
\(115\) 2.24894 + 1.29843i 0.209715 + 0.121079i
\(116\) −7.59374 + 4.38425i −0.705061 + 0.407067i
\(117\) 6.88804 + 8.33996i 0.636800 + 0.771029i
\(118\) 0.907960i 0.0835845i
\(119\) −0.396606 1.66605i −0.0363568 0.152726i
\(120\) −7.90374 3.87148i −0.721510 0.353416i
\(121\) 12.6662 + 21.9385i 1.15147 + 1.99441i
\(122\) 0.981198 + 1.69949i 0.0888335 + 0.153864i
\(123\) 8.66975 + 12.9005i 0.781725 + 1.16320i
\(124\) 15.7530 9.09500i 1.41466 0.816755i
\(125\) −9.25873 −0.828126
\(126\) −4.04209 + 1.56752i −0.360098 + 0.139646i
\(127\) 1.59609 + 2.76452i 0.141630 + 0.245311i 0.928111 0.372304i \(-0.121432\pi\)
−0.786480 + 0.617615i \(0.788099\pi\)
\(128\) 11.5293i 1.01905i
\(129\) 6.24695 12.7533i 0.550013 1.12287i
\(130\) 0.150926 + 4.94703i 0.0132371 + 0.433883i
\(131\) 1.65182 2.86103i 0.144320 0.249969i −0.784799 0.619750i \(-0.787234\pi\)
0.929119 + 0.369781i \(0.120567\pi\)
\(132\) −15.9544 7.81492i −1.38865 0.680202i
\(133\) −4.17224 4.41354i −0.361779 0.382702i
\(134\) 0.720192 + 0.415803i 0.0622151 + 0.0359199i
\(135\) 4.09833 12.3989i 0.352728 1.06713i
\(136\) 1.30877i 0.112226i
\(137\) 8.25108i 0.704937i −0.935824 0.352468i \(-0.885342\pi\)
0.935824 0.352468i \(-0.114658\pi\)
\(138\) 0.975308 0.0665422i 0.0830237 0.00566445i
\(139\) −7.50372 4.33228i −0.636457 0.367459i 0.146791 0.989168i \(-0.453105\pi\)
−0.783249 + 0.621709i \(0.786439\pi\)
\(140\) 10.8424 + 3.23430i 0.916354 + 0.273348i
\(141\) 3.19465 6.52197i 0.269038 0.549249i
\(142\) −3.61802 + 6.26660i −0.303618 + 0.525881i
\(143\) 0.662729 + 21.7228i 0.0554202 + 1.81655i
\(144\) 6.83293 0.936740i 0.569411 0.0780616i
\(145\) 12.9500i 1.07544i
\(146\) −1.50371 2.60451i −0.124448 0.215551i
\(147\) 10.4270 6.18698i 0.860000 0.510293i
\(148\) −6.73060 −0.553252
\(149\) −11.9614 + 6.90590i −0.979914 + 0.565753i −0.902244 0.431226i \(-0.858081\pi\)
−0.0776696 + 0.996979i \(0.524748\pi\)
\(150\) 1.03324 0.694390i 0.0843638 0.0566967i
\(151\) −3.90858 6.76986i −0.318076 0.550924i 0.662011 0.749494i \(-0.269703\pi\)
−0.980087 + 0.198571i \(0.936370\pi\)
\(152\) −2.32066 4.01950i −0.188230 0.326024i
\(153\) 1.92391 0.263753i 0.155539 0.0213232i
\(154\) −8.34725 2.48999i −0.672641 0.200649i
\(155\) 26.8644i 2.15780i
\(156\) −6.19375 8.63523i −0.495897 0.691372i
\(157\) −7.63926 + 4.41053i −0.609679 + 0.351999i −0.772840 0.634601i \(-0.781164\pi\)
0.163161 + 0.986600i \(0.447831\pi\)
\(158\) 2.03210 + 1.17323i 0.161665 + 0.0933375i
\(159\) 0.0674804 0.0453502i 0.00535154 0.00359650i
\(160\) 11.5340 + 6.65914i 0.911840 + 0.526451i
\(161\) −2.65957 + 0.633115i −0.209603 + 0.0498964i
\(162\) −1.32299 4.73450i −0.103944 0.371978i
\(163\) −6.28824 10.8915i −0.492533 0.853092i 0.507430 0.861693i \(-0.330596\pi\)
−0.999963 + 0.00860097i \(0.997262\pi\)
\(164\) −7.63515 13.2245i −0.596205 1.03266i
\(165\) 21.7767 14.6351i 1.69532 1.13934i
\(166\) 6.48981i 0.503707i
\(167\) 6.71323 + 11.6277i 0.519486 + 0.899775i 0.999743 + 0.0226481i \(0.00720973\pi\)
−0.480258 + 0.877127i \(0.659457\pi\)
\(168\) 8.84656 2.75425i 0.682527 0.212495i
\(169\) −5.80160 + 11.6336i −0.446277 + 0.894895i
\(170\) 0.769508 + 0.444276i 0.0590186 + 0.0340744i
\(171\) 5.44107 4.22146i 0.416089 0.322823i
\(172\) −6.97596 + 12.0827i −0.531912 + 0.921298i
\(173\) −4.22363 7.31554i −0.321116 0.556190i 0.659602 0.751615i \(-0.270725\pi\)
−0.980719 + 0.195425i \(0.937391\pi\)
\(174\) −2.71921 4.04614i −0.206142 0.306737i
\(175\) −2.52996 + 2.39164i −0.191247 + 0.180791i
\(176\) 12.0007 + 6.92861i 0.904587 + 0.522263i
\(177\) −2.87250 + 0.195982i −0.215911 + 0.0147309i
\(178\) 0.554695i 0.0415761i
\(179\) 11.1878 + 6.45927i 0.836214 + 0.482788i 0.855975 0.517016i \(-0.172957\pi\)
−0.0197616 + 0.999805i \(0.506291\pi\)
\(180\) −4.84624 + 11.8790i −0.361217 + 0.885407i
\(181\) 1.36110i 0.101170i −0.998720 0.0505848i \(-0.983891\pi\)
0.998720 0.0505848i \(-0.0161085\pi\)
\(182\) −3.69321 3.67552i −0.273759 0.272447i
\(183\) 5.16485 3.47104i 0.381797 0.256587i
\(184\) −2.08923 −0.154020
\(185\) 4.97014 8.60854i 0.365412 0.632912i
\(186\) 5.64092 + 8.39361i 0.413613 + 0.615449i
\(187\) 3.37897 + 1.95085i 0.247095 + 0.142660i
\(188\) −3.56746 + 6.17902i −0.260184 + 0.450651i
\(189\) 5.83163 + 12.4496i 0.424189 + 0.905574i
\(190\) 3.15110 0.228605
\(191\) −8.92889 + 5.15510i −0.646072 + 0.373010i −0.786950 0.617017i \(-0.788341\pi\)
0.140878 + 0.990027i \(0.455008\pi\)
\(192\) −2.94334 + 0.200815i −0.212417 + 0.0144926i
\(193\) −1.61981 + 2.80559i −0.116597 + 0.201951i −0.918417 0.395614i \(-0.870532\pi\)
0.801820 + 0.597565i \(0.203865\pi\)
\(194\) −2.70620 + 4.68727i −0.194294 + 0.336527i
\(195\) 15.6183 1.54529i 1.11845 0.110661i
\(196\) −10.6340 + 5.36702i −0.759569 + 0.383358i
\(197\) 11.8813 6.85965i 0.846505 0.488730i −0.0129653 0.999916i \(-0.504127\pi\)
0.859470 + 0.511186i \(0.170794\pi\)
\(198\) 3.73097 9.14525i 0.265148 0.649925i
\(199\) 3.33020i 0.236071i −0.993009 0.118036i \(-0.962340\pi\)
0.993009 0.118036i \(-0.0376597\pi\)
\(200\) −2.30409 + 1.33027i −0.162924 + 0.0940640i
\(201\) 1.16002 2.36822i 0.0818215 0.167041i
\(202\) 2.51524 + 1.45217i 0.176971 + 0.102174i
\(203\) 9.36559 + 9.90724i 0.657335 + 0.695352i
\(204\) −1.90341 + 0.129863i −0.133265 + 0.00909226i
\(205\) 22.5524 1.57513
\(206\) 0.761386 1.31876i 0.0530482 0.0918823i
\(207\) −0.421038 3.07121i −0.0292641 0.213464i
\(208\) 4.36146 + 7.04874i 0.302413 + 0.488742i
\(209\) 13.8367 0.957107
\(210\) −1.38367 + 6.13643i −0.0954821 + 0.423454i
\(211\) −4.67281 8.09355i −0.321690 0.557183i 0.659147 0.752014i \(-0.270917\pi\)
−0.980837 + 0.194831i \(0.937584\pi\)
\(212\) −0.0691752 + 0.0399383i −0.00475097 + 0.00274298i
\(213\) 20.6065 + 10.0937i 1.41194 + 0.691607i
\(214\) −10.5003 −0.717788
\(215\) −10.3026 17.8447i −0.702634 1.21700i
\(216\) 2.13213 + 10.2873i 0.145073 + 0.699965i
\(217\) −19.4287 20.5523i −1.31890 1.39518i
\(218\) −2.86218 + 1.65248i −0.193851 + 0.111920i
\(219\) −7.91529 + 5.31947i −0.534866 + 0.359456i
\(220\) −22.3237 + 12.8886i −1.50506 + 0.868949i
\(221\) 1.22803 + 1.98468i 0.0826065 + 0.133504i
\(222\) −0.254711 3.73330i −0.0170951 0.250562i
\(223\) −4.72711 + 2.72920i −0.316550 + 0.182760i −0.649854 0.760059i \(-0.725170\pi\)
0.333304 + 0.942820i \(0.391837\pi\)
\(224\) −13.6399 + 3.24700i −0.911353 + 0.216949i
\(225\) −2.41986 3.11897i −0.161324 0.207931i
\(226\) 2.34181 4.05614i 0.155775 0.269810i
\(227\) 22.7846 1.51226 0.756132 0.654419i \(-0.227087\pi\)
0.756132 + 0.654419i \(0.227087\pi\)
\(228\) −5.61550 + 3.77390i −0.371896 + 0.249932i
\(229\) −15.1066 8.72181i −0.998273 0.576353i −0.0905364 0.995893i \(-0.528858\pi\)
−0.907737 + 0.419540i \(0.862191\pi\)
\(230\) 0.709212 1.22839i 0.0467641 0.0809977i
\(231\) −6.07580 + 26.9456i −0.399758 + 1.77289i
\(232\) 5.20928 + 9.02273i 0.342006 + 0.592371i
\(233\) 1.62211 + 0.936526i 0.106268 + 0.0613538i 0.552192 0.833717i \(-0.313792\pi\)
−0.445924 + 0.895071i \(0.647125\pi\)
\(234\) 4.55535 3.76231i 0.297793 0.245950i
\(235\) −5.26870 9.12566i −0.343692 0.595292i
\(236\) 2.82866 0.184130
\(237\) 3.27312 6.68218i 0.212612 0.434054i
\(238\) −0.910008 + 0.216629i −0.0589871 + 0.0140420i
\(239\) 23.7791i 1.53814i −0.639164 0.769071i \(-0.720719\pi\)
0.639164 0.769071i \(-0.279281\pi\)
\(240\) 4.40202 8.98685i 0.284149 0.580099i
\(241\) 20.8892i 1.34559i 0.739829 + 0.672795i \(0.234906\pi\)
−0.739829 + 0.672795i \(0.765094\pi\)
\(242\) 11.9830 6.91837i 0.770295 0.444730i
\(243\) −14.6929 + 5.20746i −0.942552 + 0.334059i
\(244\) −5.29457 + 3.05682i −0.338950 + 0.195693i
\(245\) 0.988050 17.5642i 0.0631242 1.12214i
\(246\) 7.04634 4.73549i 0.449258 0.301924i
\(247\) 7.29072 + 3.91786i 0.463897 + 0.249288i
\(248\) −10.8065 18.7174i −0.686214 1.18856i
\(249\) −20.5317 + 1.40082i −1.30115 + 0.0887731i
\(250\) 5.05719i 0.319845i
\(251\) −10.1622 + 17.6015i −0.641433 + 1.11100i 0.343680 + 0.939087i \(0.388327\pi\)
−0.985113 + 0.171908i \(0.945007\pi\)
\(252\) −4.88346 12.5927i −0.307629 0.793267i
\(253\) 3.11421 5.39397i 0.195789 0.339116i
\(254\) 1.51000 0.871799i 0.0947459 0.0547016i
\(255\) 1.23945 2.53038i 0.0776175 0.158459i
\(256\) −2.89080 −0.180675
\(257\) −23.8924 −1.49037 −0.745183 0.666860i \(-0.767638\pi\)
−0.745183 + 0.666860i \(0.767638\pi\)
\(258\) −6.96597 3.41213i −0.433683 0.212430i
\(259\) 2.42345 + 10.1803i 0.150586 + 0.632575i
\(260\) −15.4120 + 0.470195i −0.955810 + 0.0291603i
\(261\) −12.2138 + 9.47608i −0.756015 + 0.586555i
\(262\) −1.56272 0.902235i −0.0965450 0.0557403i
\(263\) −1.39927 0.807870i −0.0862828 0.0498154i 0.456238 0.889858i \(-0.349197\pi\)
−0.542521 + 0.840042i \(0.682530\pi\)
\(264\) −9.28554 + 18.9567i −0.571485 + 1.16670i
\(265\) 0.117968i 0.00724672i
\(266\) −2.41071 + 2.27891i −0.147810 + 0.139729i
\(267\) 1.75488 0.119730i 0.107397 0.00732736i
\(268\) −1.29539 + 2.24369i −0.0791287 + 0.137055i
\(269\) −16.4525 −1.00312 −0.501562 0.865122i \(-0.667241\pi\)
−0.501562 + 0.865122i \(0.667241\pi\)
\(270\) −6.77237 2.23854i −0.412153 0.136233i
\(271\) 0.614250i 0.0373130i −0.999826 0.0186565i \(-0.994061\pi\)
0.999826 0.0186565i \(-0.00593889\pi\)
\(272\) 1.48812 0.0902302
\(273\) −10.8310 + 12.4775i −0.655523 + 0.755175i
\(274\) −4.50681 −0.272266
\(275\) 7.93160i 0.478293i
\(276\) 0.207305 + 3.03847i 0.0124783 + 0.182895i
\(277\) −9.66735 −0.580854 −0.290427 0.956897i \(-0.593797\pi\)
−0.290427 + 0.956897i \(0.593797\pi\)
\(278\) −2.36633 + 4.09860i −0.141923 + 0.245817i
\(279\) 25.3372 19.6579i 1.51690 1.17689i
\(280\) 3.84293 12.8828i 0.229659 0.769893i
\(281\) 4.25154i 0.253625i −0.991927 0.126813i \(-0.959525\pi\)
0.991927 0.126813i \(-0.0404747\pi\)
\(282\) −3.56235 1.74494i −0.212135 0.103910i
\(283\) 11.6624 + 6.73330i 0.693259 + 0.400253i 0.804832 0.593503i \(-0.202256\pi\)
−0.111573 + 0.993756i \(0.535589\pi\)
\(284\) −19.5230 11.2716i −1.15847 0.668845i
\(285\) −0.680160 9.96910i −0.0402892 0.590518i
\(286\) 11.8652 0.361988i 0.701603 0.0214048i
\(287\) −17.2534 + 16.3101i −1.01844 + 0.962757i
\(288\) −2.15934 15.7510i −0.127240 0.928139i
\(289\) −16.5810 −0.975353
\(290\) −7.07339 −0.415364
\(291\) 15.4132 + 7.54983i 0.903538 + 0.442579i
\(292\) 8.11409 4.68467i 0.474841 0.274150i
\(293\) −6.93842 + 12.0177i −0.405347 + 0.702081i −0.994362 0.106041i \(-0.966183\pi\)
0.589015 + 0.808122i \(0.299516\pi\)
\(294\) −3.37938 5.69529i −0.197089 0.332156i
\(295\) −2.08879 + 3.61789i −0.121614 + 0.210642i
\(296\) 7.99717i 0.464826i
\(297\) −29.7381 9.82963i −1.72558 0.570373i
\(298\) 3.77206 + 6.53340i 0.218510 + 0.378470i
\(299\) 3.16821 1.96035i 0.183222 0.113370i
\(300\) 2.16330 + 3.21896i 0.124898 + 0.185847i
\(301\) 20.7874 + 6.20089i 1.19817 + 0.357413i
\(302\) −3.69776 + 2.13490i −0.212782 + 0.122850i
\(303\) 4.05131 8.27087i 0.232742 0.475149i
\(304\) 4.57032 2.63868i 0.262126 0.151338i
\(305\) 9.02912i 0.517006i
\(306\) −0.144064 1.05086i −0.00823559 0.0600735i
\(307\) 19.0928i 1.08969i −0.838538 0.544843i \(-0.816589\pi\)
0.838538 0.544843i \(-0.183411\pi\)
\(308\) 7.75730 26.0050i 0.442013 1.48177i
\(309\) −4.33649 2.12414i −0.246694 0.120838i
\(310\) 14.6736 0.833403
\(311\) 1.31104 + 2.27079i 0.0743423 + 0.128765i 0.900800 0.434234i \(-0.142981\pi\)
−0.826458 + 0.562999i \(0.809648\pi\)
\(312\) −10.2602 + 7.35929i −0.580871 + 0.416638i
\(313\) 3.15245 + 1.82007i 0.178187 + 0.102876i 0.586441 0.809992i \(-0.300529\pi\)
−0.408253 + 0.912869i \(0.633862\pi\)
\(314\) 2.40907 + 4.17263i 0.135952 + 0.235475i
\(315\) 19.7124 + 3.05296i 1.11067 + 0.172015i
\(316\) −3.65509 + 6.33081i −0.205615 + 0.356136i
\(317\) 14.6674 + 8.46825i 0.823805 + 0.475624i 0.851727 0.523986i \(-0.175556\pi\)
−0.0279217 + 0.999610i \(0.508889\pi\)
\(318\) −0.0247706 0.0368583i −0.00138907 0.00206691i
\(319\) −31.0599 −1.73902
\(320\) −2.14030 + 3.70711i −0.119647 + 0.207234i
\(321\) 2.26648 + 33.2198i 0.126503 + 1.85415i
\(322\) 0.345813 + 1.45268i 0.0192714 + 0.0809545i
\(323\) 1.28684 0.742958i 0.0716018 0.0413393i
\(324\) 14.7499 4.12164i 0.819437 0.228980i
\(325\) 2.24583 4.17924i 0.124576 0.231823i
\(326\) −5.94905 + 3.43469i −0.329488 + 0.190230i
\(327\) 5.84574 + 8.69837i 0.323270 + 0.481021i
\(328\) −15.7131 + 9.07194i −0.867608 + 0.500914i
\(329\) 10.6305 + 3.17109i 0.586081 + 0.174828i
\(330\) −7.99379 11.8946i −0.440044 0.654778i
\(331\) 5.21392 + 9.03077i 0.286583 + 0.496376i 0.972992 0.230840i \(-0.0741473\pi\)
−0.686409 + 0.727216i \(0.740814\pi\)
\(332\) 20.2183 1.10963
\(333\) −11.7560 + 1.61165i −0.644226 + 0.0883181i
\(334\) 6.35112 3.66682i 0.347518 0.200640i
\(335\) −1.91314 3.31365i −0.104526 0.181044i
\(336\) 3.13168 + 10.0589i 0.170847 + 0.548757i
\(337\) 18.5940 1.01288 0.506440 0.862275i \(-0.330961\pi\)
0.506440 + 0.862275i \(0.330961\pi\)
\(338\) 6.35439 + 3.16888i 0.345633 + 0.172365i
\(339\) −13.3378 6.53326i −0.724412 0.354838i
\(340\) −1.38410 + 2.39732i −0.0750631 + 0.130013i
\(341\) 64.4329 3.48924
\(342\) −2.30580 2.97196i −0.124683 0.160705i
\(343\) 11.9467 + 14.1519i 0.645064 + 0.764129i
\(344\) 14.3564 + 8.28870i 0.774048 + 0.446897i
\(345\) −4.03933 1.97858i −0.217470 0.106523i
\(346\) −3.99581 + 2.30698i −0.214816 + 0.124024i
\(347\) 7.56632i 0.406181i 0.979160 + 0.203091i \(0.0650986\pi\)
−0.979160 + 0.203091i \(0.934901\pi\)
\(348\) 12.6053 8.47141i 0.675717 0.454115i
\(349\) 23.2338 13.4141i 1.24368 0.718038i 0.273837 0.961776i \(-0.411707\pi\)
0.969841 + 0.243738i \(0.0783738\pi\)
\(350\) 1.30633 + 1.38189i 0.0698265 + 0.0738649i
\(351\) −12.8860 13.5996i −0.687806 0.725895i
\(352\) 15.9716 27.6636i 0.851288 1.47447i
\(353\) −6.42503 + 11.1285i −0.341970 + 0.592309i −0.984798 0.173701i \(-0.944427\pi\)
0.642828 + 0.766010i \(0.277761\pi\)
\(354\) 0.107047 + 1.56899i 0.00568948 + 0.0833906i
\(355\) 28.8330 16.6468i 1.53030 0.883518i
\(356\) −1.72810 −0.0915889
\(357\) 0.881772 + 2.83222i 0.0466683 + 0.149897i
\(358\) 3.52811 6.11086i 0.186466 0.322969i
\(359\) 14.4330 + 8.33290i 0.761745 + 0.439794i 0.829922 0.557880i \(-0.188385\pi\)
−0.0681770 + 0.997673i \(0.521718\pi\)
\(360\) 14.1144 + 5.75821i 0.743893 + 0.303484i
\(361\) −6.86522 + 11.8909i −0.361328 + 0.625838i
\(362\) −0.743444 −0.0390745
\(363\) −24.4741 36.4171i −1.28456 1.91140i
\(364\) 11.4507 11.5058i 0.600180 0.603070i
\(365\) 13.8374i 0.724282i
\(366\) −1.89591 2.82109i −0.0991008 0.147461i
\(367\) −23.5317 13.5860i −1.22834 0.709184i −0.261660 0.965160i \(-0.584270\pi\)
−0.966683 + 0.255976i \(0.917603\pi\)
\(368\) 2.37553i 0.123833i
\(369\) −16.5026 21.2703i −0.859089 1.10729i
\(370\) −4.70205 2.71473i −0.244448 0.141132i
\(371\) 0.0853159 + 0.0902501i 0.00442938 + 0.00468555i
\(372\) −26.1494 + 17.5737i −1.35579 + 0.911155i
\(373\) 8.54397 + 14.7986i 0.442390 + 0.766242i 0.997866 0.0652907i \(-0.0207975\pi\)
−0.555477 + 0.831532i \(0.687464\pi\)
\(374\) 1.06557 1.84562i 0.0550994 0.0954349i
\(375\) 15.9994 1.09159i 0.826205 0.0563694i
\(376\) 7.34179 + 4.23879i 0.378624 + 0.218599i
\(377\) −16.3658 8.79458i −0.842880 0.452944i
\(378\) 6.80006 3.18529i 0.349758 0.163833i
\(379\) −11.4321 19.8010i −0.587229 1.01711i −0.994594 0.103845i \(-0.966886\pi\)
0.407365 0.913266i \(-0.366448\pi\)
\(380\) 9.81693i 0.503598i
\(381\) −3.08403 4.58900i −0.158000 0.235101i
\(382\) 2.81576 + 4.87703i 0.144067 + 0.249531i
\(383\) −4.26054 7.37947i −0.217703 0.377073i 0.736402 0.676544i \(-0.236523\pi\)
−0.954105 + 0.299471i \(0.903190\pi\)
\(384\) 1.35928 + 19.9230i 0.0693655 + 1.01669i
\(385\) 27.5325 + 29.1248i 1.40319 + 1.48434i
\(386\) 1.53244 + 0.884754i 0.0779991 + 0.0450328i
\(387\) −9.29134 + 22.7747i −0.472305 + 1.15770i
\(388\) −14.6027 8.43089i −0.741341 0.428013i
\(389\) 11.0480 6.37855i 0.560155 0.323406i −0.193053 0.981188i \(-0.561839\pi\)
0.753208 + 0.657783i \(0.228506\pi\)
\(390\) −0.844052 8.53084i −0.0427402 0.431976i
\(391\) 0.668865i 0.0338260i
\(392\) 6.37698 + 12.6351i 0.322086 + 0.638168i
\(393\) −2.51708 + 5.13870i −0.126970 + 0.259213i
\(394\) −3.74680 6.48964i −0.188761 0.326943i
\(395\) −5.39813 9.34983i −0.271609 0.470441i
\(396\) 28.4911 + 11.6234i 1.43173 + 0.584100i
\(397\) −3.37143 + 1.94650i −0.169207 + 0.0976918i −0.582212 0.813037i \(-0.697813\pi\)
0.413005 + 0.910729i \(0.364479\pi\)
\(398\) −1.81898 −0.0911773
\(399\) 7.73012 + 7.13484i 0.386990 + 0.357189i
\(400\) −1.51256 2.61983i −0.0756281 0.130992i
\(401\) 22.0587i 1.10156i 0.834651 + 0.550779i \(0.185669\pi\)
−0.834651 + 0.550779i \(0.814331\pi\)
\(402\) −1.29354 0.633612i −0.0645158 0.0316017i
\(403\) 33.9504 + 18.2441i 1.69119 + 0.908804i
\(404\) −4.52409 + 7.83596i −0.225082 + 0.389854i
\(405\) −5.62025 + 21.9089i −0.279272 + 1.08866i
\(406\) 5.41142 5.11556i 0.268564 0.253881i
\(407\) −20.6471 11.9206i −1.02344 0.590883i
\(408\) 0.154301 + 2.26159i 0.00763905 + 0.111965i
\(409\) 8.58087i 0.424297i −0.977237 0.212148i \(-0.931954\pi\)
0.977237 0.212148i \(-0.0680460\pi\)
\(410\) 12.3183i 0.608357i
\(411\) 0.972788 + 14.2581i 0.0479841 + 0.703302i
\(412\) 4.10846 + 2.37202i 0.202409 + 0.116861i
\(413\) −1.01850 4.27847i −0.0501170 0.210530i
\(414\) −1.67752 + 0.229974i −0.0824456 + 0.0113026i
\(415\) −14.9300 + 25.8595i −0.732886 + 1.26940i
\(416\) 16.2485 10.0539i 0.796649 0.492933i
\(417\) 13.4775 + 6.60164i 0.659994 + 0.323284i
\(418\) 7.55774i 0.369661i
\(419\) −12.5477 21.7332i −0.612994 1.06174i −0.990733 0.135825i \(-0.956632\pi\)
0.377739 0.925912i \(-0.376702\pi\)
\(420\) −19.1174 4.31068i −0.932835 0.210339i
\(421\) −11.9143 −0.580668 −0.290334 0.956925i \(-0.593766\pi\)
−0.290334 + 0.956925i \(0.593766\pi\)
\(422\) −4.42076 + 2.55233i −0.215199 + 0.124245i
\(423\) −4.75153 + 11.6468i −0.231027 + 0.566288i
\(424\) 0.0474539 + 0.0821926i 0.00230457 + 0.00399163i
\(425\) −0.425884 0.737653i −0.0206584 0.0357814i
\(426\) 5.51324 11.2555i 0.267117 0.545328i
\(427\) 6.52996 + 6.90762i 0.316007 + 0.334283i
\(428\) 32.7127i 1.58123i
\(429\) −3.70630 37.4596i −0.178942 1.80857i
\(430\) −9.74692 + 5.62739i −0.470038 + 0.271377i
\(431\) −25.0125 14.4410i −1.20481 0.695597i −0.243189 0.969979i \(-0.578194\pi\)
−0.961621 + 0.274382i \(0.911527\pi\)
\(432\) −11.6971 + 2.42431i −0.562777 + 0.116640i
\(433\) 6.48299 + 3.74296i 0.311553 + 0.179875i 0.647621 0.761963i \(-0.275764\pi\)
−0.336068 + 0.941838i \(0.609097\pi\)
\(434\) −11.2258 + 10.6121i −0.538858 + 0.509397i
\(435\) 1.52678 + 22.3780i 0.0732036 + 1.07294i
\(436\) −5.14814 8.91684i −0.246551 0.427039i
\(437\) −1.18601 2.05423i −0.0567345 0.0982671i
\(438\) 2.90554 + 4.32340i 0.138832 + 0.206580i
\(439\) 10.2207i 0.487810i −0.969799 0.243905i \(-0.921572\pi\)
0.969799 0.243905i \(-0.0784284\pi\)
\(440\) 15.3140 + 26.5246i 0.730065 + 1.26451i
\(441\) −17.2887 + 11.9206i −0.823271 + 0.567649i
\(442\) 1.08405 0.670762i 0.0515629 0.0319049i
\(443\) −26.2992 15.1839i −1.24951 0.721407i −0.278501 0.960436i \(-0.589838\pi\)
−0.971012 + 0.239029i \(0.923171\pi\)
\(444\) 11.6307 0.793527i 0.551969 0.0376591i
\(445\) 1.27609 2.21026i 0.0604926 0.104776i
\(446\) 1.49071 + 2.58198i 0.0705871 + 0.122260i
\(447\) 19.8555 13.3439i 0.939131 0.631143i
\(448\) −1.04361 4.38398i −0.0493061 0.207123i
\(449\) 19.0172 + 10.9796i 0.897478 + 0.518159i 0.876381 0.481618i \(-0.159951\pi\)
0.0210967 + 0.999777i \(0.493284\pi\)
\(450\) −1.70361 + 1.32175i −0.0803089 + 0.0623077i
\(451\) 54.0907i 2.54703i
\(452\) 12.6365 + 7.29568i 0.594370 + 0.343160i
\(453\) 7.55232 + 11.2377i 0.354839 + 0.527995i
\(454\) 12.4451i 0.584078i
\(455\) 6.26048 + 23.1420i 0.293496 + 1.08491i
\(456\) 4.48407 + 6.67223i 0.209986 + 0.312456i
\(457\) 36.0570 1.68668 0.843338 0.537383i \(-0.180587\pi\)
0.843338 + 0.537383i \(0.180587\pi\)
\(458\) −4.76392 + 8.25136i −0.222604 + 0.385561i
\(459\) −3.29349 + 0.682600i −0.153727 + 0.0318610i
\(460\) 3.82693 + 2.20948i 0.178431 + 0.103017i
\(461\) 4.57076 7.91680i 0.212882 0.368722i −0.739734 0.672900i \(-0.765048\pi\)
0.952615 + 0.304178i \(0.0983818\pi\)
\(462\) 14.7179 + 3.31865i 0.684739 + 0.154398i
\(463\) 22.1372 1.02880 0.514401 0.857550i \(-0.328014\pi\)
0.514401 + 0.857550i \(0.328014\pi\)
\(464\) −10.2592 + 5.92314i −0.476271 + 0.274975i
\(465\) −3.16727 46.4226i −0.146879 2.15280i
\(466\) 0.511538 0.886010i 0.0236965 0.0410436i
\(467\) −0.315959 + 0.547257i −0.0146208 + 0.0253240i −0.873243 0.487285i \(-0.837987\pi\)
0.858622 + 0.512609i \(0.171321\pi\)
\(468\) 11.7211 + 14.1917i 0.541807 + 0.656014i
\(469\) 3.86009 + 1.15147i 0.178243 + 0.0531698i
\(470\) −4.98451 + 2.87781i −0.229918 + 0.132743i
\(471\) 12.6809 8.52220i 0.584305 0.392682i
\(472\) 3.36096i 0.154701i
\(473\) −42.7996 + 24.7103i −1.96793 + 1.13618i
\(474\) −3.64986 1.78781i −0.167644 0.0821167i
\(475\) −2.61596 1.51033i −0.120029 0.0692986i
\(476\) −0.674886 2.83504i −0.0309334 0.129944i
\(477\) −0.111262 + 0.0863224i −0.00509432 + 0.00395243i
\(478\) −12.9883 −0.594072
\(479\) 11.1651 19.3385i 0.510146 0.883599i −0.489785 0.871843i \(-0.662925\pi\)
0.999931 0.0117553i \(-0.00374193\pi\)
\(480\) −20.7162 10.1474i −0.945560 0.463162i
\(481\) −7.50386 12.1273i −0.342147 0.552958i
\(482\) 11.4098 0.519704
\(483\) 4.52118 1.40760i 0.205721 0.0640481i
\(484\) 21.5535 + 37.3317i 0.979704 + 1.69690i
\(485\) 21.5664 12.4514i 0.979282 0.565389i
\(486\) 2.84436 + 8.02540i 0.129023 + 0.364040i
\(487\) −40.2883 −1.82563 −0.912817 0.408368i \(-0.866098\pi\)
−0.912817 + 0.408368i \(0.866098\pi\)
\(488\) 3.63206 + 6.29091i 0.164416 + 0.284776i
\(489\) 12.1504 + 18.0796i 0.549459 + 0.817587i
\(490\) −9.59372 0.539681i −0.433400 0.0243803i
\(491\) −6.70526 + 3.87128i −0.302604 + 0.174709i −0.643612 0.765352i \(-0.722565\pi\)
0.341008 + 0.940060i \(0.389232\pi\)
\(492\) 14.7529 + 21.9522i 0.665114 + 0.989680i
\(493\) −2.88862 + 1.66775i −0.130097 + 0.0751116i
\(494\) 2.13997 3.98225i 0.0962817 0.179170i
\(495\) −35.9055 + 27.8573i −1.61383 + 1.25209i
\(496\) 21.2824 12.2874i 0.955608 0.551721i
\(497\) −10.0192 + 33.5878i −0.449425 + 1.50662i
\(498\) 0.765137 + 11.2146i 0.0342866 + 0.502538i
\(499\) −7.94320 + 13.7580i −0.355587 + 0.615894i −0.987218 0.159375i \(-0.949052\pi\)
0.631632 + 0.775269i \(0.282386\pi\)
\(500\) −15.7552 −0.704593
\(501\) −12.9716 19.3015i −0.579527 0.862328i
\(502\) 9.61407 + 5.55069i 0.429097 + 0.247739i
\(503\) 14.9743 25.9362i 0.667671 1.15644i −0.310883 0.950448i \(-0.600625\pi\)
0.978554 0.205992i \(-0.0660420\pi\)
\(504\) −14.9624 + 5.80243i −0.666480 + 0.258461i
\(505\) −6.68154 11.5728i −0.297325 0.514981i
\(506\) −2.94623 1.70101i −0.130976 0.0756190i
\(507\) 8.65378 20.7873i 0.384328 0.923197i
\(508\) 2.71600 + 4.70426i 0.120503 + 0.208718i
\(509\) 6.60075 0.292573 0.146286 0.989242i \(-0.453268\pi\)
0.146286 + 0.989242i \(0.453268\pi\)
\(510\) −1.38211 0.676999i −0.0612011 0.0299780i
\(511\) −10.0074 10.5861i −0.442699 0.468303i
\(512\) 21.4795i 0.949271i
\(513\) −8.90465 + 7.93632i −0.393150 + 0.350397i
\(514\) 13.0502i 0.575620i
\(515\) −6.06769 + 3.50318i −0.267375 + 0.154369i
\(516\) 10.6302 21.7018i 0.467966 0.955368i
\(517\) −21.8874 + 12.6367i −0.962607 + 0.555762i
\(518\) 5.56058 1.32371i 0.244318 0.0581603i
\(519\) 8.16106 + 12.1435i 0.358231 + 0.533042i
\(520\) 0.558677 + 18.3122i 0.0244996 + 0.803043i
\(521\) 11.1062 + 19.2365i 0.486570 + 0.842764i 0.999881 0.0154387i \(-0.00491447\pi\)
−0.513311 + 0.858203i \(0.671581\pi\)
\(522\) 5.17591 + 6.67127i 0.226544 + 0.291994i
\(523\) 26.3581i 1.15256i −0.817252 0.576280i \(-0.804504\pi\)
0.817252 0.576280i \(-0.195496\pi\)
\(524\) 2.81082 4.86849i 0.122791 0.212681i
\(525\) 4.08989 4.43112i 0.178497 0.193390i
\(526\) −0.441265 + 0.764294i −0.0192401 + 0.0333248i
\(527\) 5.99238 3.45970i 0.261032 0.150707i
\(528\) −21.5545 10.5580i −0.938038 0.459478i
\(529\) 21.9323 0.953577
\(530\) −0.0644352 −0.00279888
\(531\) 4.94068 0.677327i 0.214407 0.0293935i
\(532\) −7.09972 7.51033i −0.307812 0.325614i
\(533\) 15.3157 28.5009i 0.663398 1.23451i
\(534\) −0.0653976 0.958531i −0.00283003 0.0414797i
\(535\) 41.8401 + 24.1564i 1.80890 + 1.04437i
\(536\) 2.66590 + 1.53916i 0.115150 + 0.0664816i
\(537\) −20.0944 9.84281i −0.867137 0.424749i
\(538\) 8.98647i 0.387434i
\(539\) −42.1268 2.36978i −1.81453 0.102074i
\(540\) 6.97395 21.0986i 0.300111 0.907941i
\(541\) 7.27566 12.6018i 0.312805 0.541794i −0.666164 0.745806i \(-0.732065\pi\)
0.978968 + 0.204012i \(0.0653981\pi\)
\(542\) −0.335508 −0.0144113
\(543\) 0.160471 + 2.35202i 0.00688648 + 0.100935i
\(544\) 3.43035i 0.147075i
\(545\) 15.2064 0.651369
\(546\) 6.81534 + 5.91599i 0.291669 + 0.253181i
\(547\) 13.3560 0.571060 0.285530 0.958370i \(-0.407830\pi\)
0.285530 + 0.958370i \(0.407830\pi\)
\(548\) 14.0405i 0.599780i
\(549\) −8.51581 + 6.60700i −0.363446 + 0.281980i
\(550\) −4.33231 −0.184730
\(551\) −5.91439 + 10.2440i −0.251961 + 0.436410i
\(552\) 3.61025 0.246316i 0.153663 0.0104839i
\(553\) 10.8917 + 3.24899i 0.463161 + 0.138161i
\(554\) 5.28038i 0.224342i
\(555\) −7.57364 + 15.4618i −0.321483 + 0.656317i
\(556\) −12.7688 7.37205i −0.541516 0.312644i
\(557\) −18.5391 10.7035i −0.785525 0.453523i 0.0528599 0.998602i \(-0.483166\pi\)
−0.838385 + 0.545079i \(0.816500\pi\)
\(558\) −10.7373 13.8394i −0.454546 0.585868i
\(559\) −29.5482 + 0.901470i −1.24976 + 0.0381281i
\(560\) 14.6482 + 4.36956i 0.619000 + 0.184648i
\(561\) −6.06898 2.97276i −0.256233 0.125510i
\(562\) −2.32223 −0.0979571
\(563\) 29.5628 1.24593 0.622963 0.782252i \(-0.285929\pi\)
0.622963 + 0.782252i \(0.285929\pi\)
\(564\) 5.43619 11.0981i 0.228905 0.467316i
\(565\) −18.6626 + 10.7748i −0.785140 + 0.453301i
\(566\) 3.67778 6.37011i 0.154589 0.267756i
\(567\) −11.5450 20.8258i −0.484846 0.874599i
\(568\) −13.3927 + 23.1968i −0.561944 + 0.973316i
\(569\) 27.5786i 1.15616i −0.815982 0.578078i \(-0.803803\pi\)
0.815982 0.578078i \(-0.196197\pi\)
\(570\) −5.44520 + 0.371509i −0.228074 + 0.0155608i
\(571\) 17.4312 + 30.1918i 0.729475 + 1.26349i 0.957105 + 0.289740i \(0.0935689\pi\)
−0.227630 + 0.973748i \(0.573098\pi\)
\(572\) 1.12774 + 36.9648i 0.0471531 + 1.54558i
\(573\) 14.8216 9.96088i 0.619183 0.416122i
\(574\) 8.90874 + 9.42397i 0.371843 + 0.393349i
\(575\) −1.17754 + 0.679853i −0.0491068 + 0.0283518i
\(576\) 5.06252 0.694030i 0.210938 0.0289179i
\(577\) −9.56438 + 5.52200i −0.398170 + 0.229884i −0.685694 0.727890i \(-0.740501\pi\)
0.287524 + 0.957773i \(0.407168\pi\)
\(578\) 9.05668i 0.376708i
\(579\) 2.46831 5.03914i 0.102580 0.209419i
\(580\) 22.0364i 0.915014i
\(581\) −7.27989 30.5811i −0.302021 1.26872i
\(582\) 4.12378 8.41882i 0.170936 0.348971i
\(583\) −0.282940 −0.0117182
\(584\) −5.56624 9.64100i −0.230332 0.398948i
\(585\) −26.8067 + 4.51169i −1.10832 + 0.186535i
\(586\) 6.56417 + 3.78982i 0.271163 + 0.156556i
\(587\) 12.6832 + 21.9680i 0.523493 + 0.906717i 0.999626 + 0.0273434i \(0.00870477\pi\)
−0.476133 + 0.879373i \(0.657962\pi\)
\(588\) 17.7431 10.5281i 0.731713 0.434172i
\(589\) 12.2692 21.2510i 0.505546 0.875631i
\(590\) 1.97612 + 1.14092i 0.0813557 + 0.0469707i
\(591\) −19.7225 + 13.2545i −0.811274 + 0.545217i
\(592\) −9.09308 −0.373723
\(593\) 5.88143 10.1869i 0.241521 0.418327i −0.719627 0.694361i \(-0.755687\pi\)
0.961148 + 0.276034i \(0.0890203\pi\)
\(594\) −5.36903 + 16.2432i −0.220294 + 0.666465i
\(595\) 4.12442 + 1.23031i 0.169085 + 0.0504380i
\(596\) −20.3541 + 11.7515i −0.833738 + 0.481359i
\(597\) 0.392625 + 5.75469i 0.0160691 + 0.235524i
\(598\) −1.07076 1.73050i −0.0437867 0.0707654i
\(599\) 39.8531 23.0092i 1.62835 0.940131i 0.643770 0.765219i \(-0.277369\pi\)
0.984584 0.174911i \(-0.0559639\pi\)
\(600\) 3.82470 2.57039i 0.156143 0.104936i
\(601\) 26.1034 15.0708i 1.06478 0.614751i 0.138030 0.990428i \(-0.455923\pi\)
0.926751 + 0.375677i \(0.122590\pi\)
\(602\) 3.38698 11.3543i 0.138043 0.462765i
\(603\) −1.72534 + 4.22912i −0.0702614 + 0.172223i
\(604\) −6.65106 11.5200i −0.270628 0.468741i
\(605\) −63.6638 −2.58830
\(606\) −4.51762 2.21286i −0.183516 0.0898913i
\(607\) −31.3997 + 18.1286i −1.27447 + 0.735818i −0.975827 0.218545i \(-0.929869\pi\)
−0.298648 + 0.954363i \(0.596536\pi\)
\(608\) −6.08259 10.5353i −0.246681 0.427265i
\(609\) −17.3521 16.0159i −0.703142 0.648995i
\(610\) −4.93178 −0.199682
\(611\) −15.1108 + 0.461006i −0.611316 + 0.0186503i
\(612\) 3.27384 0.448817i 0.132337 0.0181423i
\(613\) −16.8491 + 29.1835i −0.680530 + 1.17871i 0.294290 + 0.955716i \(0.404917\pi\)
−0.974819 + 0.222996i \(0.928416\pi\)
\(614\) −10.4287 −0.420867
\(615\) −38.9713 + 2.65889i −1.57147 + 0.107217i
\(616\) −30.8987 9.21707i −1.24494 0.371367i
\(617\) 6.51889 + 3.76368i 0.262441 + 0.151520i 0.625447 0.780266i \(-0.284916\pi\)
−0.363007 + 0.931786i \(0.618250\pi\)
\(618\) −1.16022 + 2.36862i −0.0466709 + 0.0952801i
\(619\) −39.6473 + 22.8904i −1.59356 + 0.920043i −0.600871 + 0.799346i \(0.705179\pi\)
−0.992689 + 0.120697i \(0.961487\pi\)
\(620\) 45.7140i 1.83592i
\(621\) 1.08966 + 5.25751i 0.0437264 + 0.210977i
\(622\) 1.24032 0.716101i 0.0497325 0.0287130i
\(623\) 0.622225 + 2.61382i 0.0249289 + 0.104720i
\(624\) −8.36779 11.6663i −0.334980 0.467024i
\(625\) 14.9239 25.8490i 0.596957 1.03396i
\(626\) 0.994138 1.72190i 0.0397337 0.0688208i
\(627\) −23.9103 + 1.63133i −0.954887 + 0.0651490i
\(628\) −12.9994 + 7.50521i −0.518732 + 0.299490i
\(629\) −2.56029 −0.102086
\(630\) 1.66755 10.7671i 0.0664368 0.428971i
\(631\) −14.0226 + 24.2878i −0.558230 + 0.966882i 0.439415 + 0.898284i \(0.355186\pi\)
−0.997644 + 0.0685980i \(0.978147\pi\)
\(632\) 7.52214 + 4.34291i 0.299215 + 0.172752i
\(633\) 9.02900 + 13.4350i 0.358870 + 0.533994i
\(634\) 4.62543 8.01147i 0.183699 0.318176i
\(635\) −8.02241 −0.318360
\(636\) 0.114828 0.0771704i 0.00455324 0.00306001i
\(637\) −21.5261 13.1768i −0.852893 0.522085i
\(638\) 16.9652i 0.671657i
\(639\) −36.7988 15.0127i −1.45574 0.593894i
\(640\) 25.0928 + 14.4873i 0.991879 + 0.572662i
\(641\) 0.923744i 0.0364857i −0.999834 0.0182428i \(-0.994193\pi\)
0.999834 0.0182428i \(-0.00580720\pi\)
\(642\) 18.1449 1.23797i 0.716124 0.0488589i
\(643\) −6.72532 3.88286i −0.265221 0.153125i 0.361493 0.932375i \(-0.382267\pi\)
−0.626714 + 0.779250i \(0.715600\pi\)
\(644\) −4.52567 + 1.07734i −0.178336 + 0.0424533i
\(645\) 19.9072 + 29.6216i 0.783844 + 1.16635i
\(646\) −0.405810 0.702883i −0.0159664 0.0276546i
\(647\) 12.1084 20.9724i 0.476030 0.824509i −0.523592 0.851969i \(-0.675409\pi\)
0.999623 + 0.0274600i \(0.00874188\pi\)
\(648\) −4.89725 17.5255i −0.192382 0.688467i
\(649\) 8.67733 + 5.00986i 0.340615 + 0.196654i
\(650\) −2.28274 1.22669i −0.0895363 0.0481147i
\(651\) 35.9965 + 33.2245i 1.41081 + 1.30217i
\(652\) −10.7004 18.5337i −0.419061 0.725835i
\(653\) 36.0856i 1.41214i 0.708142 + 0.706070i \(0.249534\pi\)
−0.708142 + 0.706070i \(0.750466\pi\)
\(654\) 4.75112 3.19299i 0.185784 0.124856i
\(655\) 4.15124 + 7.19017i 0.162203 + 0.280943i
\(656\) −10.3151 17.8663i −0.402738 0.697563i
\(657\) 13.0507 10.1254i 0.509157 0.395030i
\(658\) 1.73208 5.80649i 0.0675234 0.226361i
\(659\) 10.7491 + 6.20598i 0.418724 + 0.241751i 0.694531 0.719462i \(-0.255612\pi\)
−0.275807 + 0.961213i \(0.588945\pi\)
\(660\) 37.0565 24.9038i 1.44242 0.969381i
\(661\) 24.6560 + 14.2351i 0.959006 + 0.553682i 0.895867 0.444323i \(-0.146556\pi\)
0.0631387 + 0.998005i \(0.479889\pi\)
\(662\) 4.93268 2.84789i 0.191714 0.110686i
\(663\) −2.35607 3.28481i −0.0915023 0.127571i
\(664\) 24.0230i 0.932275i
\(665\) 14.8485 3.53472i 0.575801 0.137071i
\(666\) 0.880299 + 6.42123i 0.0341109 + 0.248818i
\(667\) 2.66228 + 4.61121i 0.103084 + 0.178547i
\(668\) 11.4236 + 19.7863i 0.441993 + 0.765554i
\(669\) 7.84683 5.27346i 0.303376 0.203884i
\(670\) −1.80994 + 1.04497i −0.0699242 + 0.0403708i
\(671\) −21.6559 −0.836015
\(672\) 23.1874 7.21905i 0.894472 0.278481i
\(673\) 5.65042 + 9.78682i 0.217808 + 0.377254i 0.954137 0.299369i \(-0.0967761\pi\)
−0.736330 + 0.676623i \(0.763443\pi\)
\(674\) 10.1562i 0.391202i
\(675\) 4.54932 + 5.10439i 0.175103 + 0.196468i
\(676\) −9.87233 + 19.7964i −0.379705 + 0.761402i
\(677\) −6.45592 + 11.1820i −0.248121 + 0.429758i −0.963004 0.269485i \(-0.913146\pi\)
0.714883 + 0.699244i \(0.246480\pi\)
\(678\) −3.56852 + 7.28524i −0.137048 + 0.279788i
\(679\) −7.49416 + 25.1229i −0.287600 + 0.964128i
\(680\) 2.84845 + 1.64456i 0.109233 + 0.0630658i
\(681\) −39.3725 + 2.68626i −1.50876 + 0.102938i
\(682\) 35.1938i 1.34764i
\(683\) 8.80340i 0.336853i 0.985714 + 0.168426i \(0.0538685\pi\)
−0.985714 + 0.168426i \(0.946131\pi\)
\(684\) 9.25884 7.18348i 0.354020 0.274667i
\(685\) 17.9580 + 10.3681i 0.686140 + 0.396143i
\(686\) 7.72986 6.52541i 0.295128 0.249141i
\(687\) 27.1330 + 13.2905i 1.03519 + 0.507066i
\(688\) −9.42456 + 16.3238i −0.359308 + 0.622340i
\(689\) −0.149084 0.0801143i −0.00567965 0.00305211i
\(690\) −1.08072 + 2.20632i −0.0411422 + 0.0839930i
\(691\) 21.1867i 0.805981i −0.915204 0.402990i \(-0.867971\pi\)
0.915204 0.402990i \(-0.132029\pi\)
\(692\) −7.18716 12.4485i −0.273215 0.473222i
\(693\) 7.32235 47.2792i 0.278153 1.79599i
\(694\) 4.13279 0.156878
\(695\) 18.8579 10.8876i 0.715321 0.412991i
\(696\) −10.0656 14.9774i −0.381534 0.567717i
\(697\) −2.90438 5.03053i −0.110011 0.190545i
\(698\) −7.32687 12.6905i −0.277326 0.480343i
\(699\) −2.91348 1.42710i −0.110198 0.0539780i
\(700\) −4.30512 + 4.06975i −0.162718 + 0.153822i
\(701\) 39.6954i 1.49927i 0.661849 + 0.749637i \(0.269772\pi\)
−0.661849 + 0.749637i \(0.730228\pi\)
\(702\) −7.42823 + 7.03846i −0.280361 + 0.265649i
\(703\) −7.86321 + 4.53982i −0.296566 + 0.171223i
\(704\) 8.89131 + 5.13340i 0.335104 + 0.193472i
\(705\) 10.1804 + 15.1483i 0.383416 + 0.570517i
\(706\) 6.07847 + 3.50941i 0.228766 + 0.132078i
\(707\) 13.4812 + 4.02144i 0.507012 + 0.151242i
\(708\) −4.88802 + 0.333494i −0.183703 + 0.0125335i
\(709\) 4.55698 + 7.89293i 0.171141 + 0.296425i 0.938819 0.344411i \(-0.111921\pi\)
−0.767678 + 0.640836i \(0.778588\pi\)
\(710\) −9.09260 15.7488i −0.341239 0.591043i
\(711\) −4.86825 + 11.9329i −0.182574 + 0.447520i
\(712\) 2.05329i 0.0769503i
\(713\) −5.52284 9.56583i −0.206832 0.358243i
\(714\) 1.54698 0.481631i 0.0578944 0.0180246i
\(715\) −48.1113 25.8539i −1.79926 0.966880i
\(716\) 19.0378 + 10.9915i 0.711474 + 0.410770i
\(717\) 2.80351 + 41.0911i 0.104699 + 1.53457i
\(718\) 4.55150 7.88343i 0.169860 0.294207i
\(719\) 5.46228 + 9.46095i 0.203709 + 0.352834i 0.949721 0.313099i \(-0.101367\pi\)
−0.746012 + 0.665933i \(0.768034\pi\)
\(720\) −6.54730 + 16.0486i −0.244003 + 0.598095i
\(721\) 2.10847 7.06830i 0.0785237 0.263237i
\(722\) 6.49492 + 3.74984i 0.241716 + 0.139555i
\(723\) −2.46280 36.0972i −0.0915924 1.34247i
\(724\) 2.31612i 0.0860780i
\(725\) 5.87216 + 3.39029i 0.218086 + 0.125912i
\(726\) −19.8913 + 13.3679i −0.738236 + 0.496131i
\(727\) 45.7930i 1.69837i 0.528098 + 0.849183i \(0.322905\pi\)
−0.528098 + 0.849183i \(0.677095\pi\)
\(728\) −13.6710 13.6055i −0.506681 0.504253i
\(729\) 24.7759 10.7309i 0.917627 0.397442i
\(730\) 7.55809 0.279738
\(731\) −2.65362 + 4.59621i −0.0981478 + 0.169997i
\(732\) 8.78881 5.90652i 0.324844 0.218311i
\(733\) 17.4750 + 10.0892i 0.645455 + 0.372654i 0.786713 0.617319i \(-0.211781\pi\)
−0.141258 + 0.989973i \(0.545115\pi\)
\(734\) −7.42079 + 12.8532i −0.273906 + 0.474420i
\(735\) 0.363408 + 30.4680i 0.0134045 + 1.12383i
\(736\) −5.47599 −0.201848
\(737\) −7.94762 + 4.58856i −0.292754 + 0.169022i
\(738\) −11.6180 + 9.01384i −0.427665 + 0.331804i
\(739\) 24.2829 42.0593i 0.893262 1.54718i 0.0573213 0.998356i \(-0.481744\pi\)
0.835941 0.548820i \(-0.184923\pi\)
\(740\) 8.45747 14.6488i 0.310903 0.538500i
\(741\) −13.0605 5.91063i −0.479790 0.217132i
\(742\) 0.0492954 0.0466003i 0.00180969 0.00171075i
\(743\) −6.39543 + 3.69241i −0.234626 + 0.135461i −0.612704 0.790312i \(-0.709918\pi\)
0.378078 + 0.925774i \(0.376585\pi\)
\(744\) 20.8808 + 31.0703i 0.765526 + 1.13909i
\(745\) 34.7110i 1.27171i
\(746\) 8.08311 4.66678i 0.295944 0.170863i
\(747\) 35.3144 4.84131i 1.29209 0.177134i
\(748\) 5.74985 + 3.31968i 0.210235 + 0.121380i
\(749\) −49.4794 + 11.7787i −1.80794 + 0.430383i
\(750\) −0.596235 8.73900i −0.0217714 0.319103i
\(751\) −23.1664 −0.845353 −0.422676 0.906281i \(-0.638909\pi\)
−0.422676 + 0.906281i \(0.638909\pi\)
\(752\) −4.81966 + 8.34789i −0.175755 + 0.304416i
\(753\) 15.4855 31.6140i 0.564322 1.15208i
\(754\) −4.80367 + 8.93912i −0.174939 + 0.325543i
\(755\) 19.6456 0.714978
\(756\) 9.92344 + 21.1849i 0.360912 + 0.770488i
\(757\) −19.9604 34.5725i −0.725475 1.25656i −0.958778 0.284155i \(-0.908287\pi\)
0.233304 0.972404i \(-0.425046\pi\)
\(758\) −10.8155 + 6.24432i −0.392836 + 0.226804i
\(759\) −4.74552 + 9.68812i −0.172251 + 0.351657i
\(760\) 11.6643 0.423108
\(761\) −3.98842 6.90815i −0.144580 0.250420i 0.784636 0.619957i \(-0.212850\pi\)
−0.929216 + 0.369536i \(0.879517\pi\)
\(762\) −2.50655 + 1.68453i −0.0908027 + 0.0610239i
\(763\) −11.6334 + 10.9974i −0.421159 + 0.398133i
\(764\) −15.1939 + 8.77221i −0.549696 + 0.317367i
\(765\) −1.84349 + 4.51871i −0.0666515 + 0.163374i
\(766\) −4.03073 + 2.32714i −0.145636 + 0.0840830i
\(767\) 3.15363 + 5.09672i 0.113871 + 0.184032i
\(768\) 4.99540 0.340820i 0.180256 0.0122983i
\(769\) 8.79268 5.07646i 0.317072 0.183062i −0.333015 0.942922i \(-0.608066\pi\)
0.650087 + 0.759860i \(0.274733\pi\)
\(770\) 15.9082 15.0385i 0.573292 0.541949i
\(771\) 41.2868 2.81687i 1.48691 0.101447i
\(772\) −2.75636 + 4.77416i −0.0992036 + 0.171826i
\(773\) 17.3985 0.625782 0.312891 0.949789i \(-0.398702\pi\)
0.312891 +