Properties

Label 630.2.i.f.151.5
Level 630
Weight 2
Character 630.151
Analytic conductor 5.031
Analytic rank 0
Dimension 12
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 630.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{3})\)
Coefficient field: 12.0.91830304992969.1
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 151.5
Root \(-1.41396 + 0.0268737i\)
Character \(\chi\) = 630.151
Dual form 630.2.i.f.121.5

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(1.35166 + 1.08306i) q^{3} +1.00000 q^{4} +(-0.500000 + 0.866025i) q^{5} +(-1.35166 - 1.08306i) q^{6} +(2.32383 - 1.26483i) q^{7} -1.00000 q^{8} +(0.653981 + 2.92785i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(1.35166 + 1.08306i) q^{3} +1.00000 q^{4} +(-0.500000 + 0.866025i) q^{5} +(-1.35166 - 1.08306i) q^{6} +(2.32383 - 1.26483i) q^{7} -1.00000 q^{8} +(0.653981 + 2.92785i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-0.975553 - 1.68971i) q^{11} +(1.35166 + 1.08306i) q^{12} +(2.18226 + 3.77979i) q^{13} +(-2.32383 + 1.26483i) q^{14} +(-1.61378 + 0.629046i) q^{15} +1.00000 q^{16} +(2.22435 - 3.85269i) q^{17} +(-0.653981 - 2.92785i) q^{18} +(2.18226 + 3.77979i) q^{19} +(-0.500000 + 0.866025i) q^{20} +(4.51092 + 0.807211i) q^{21} +(0.975553 + 1.68971i) q^{22} +(-0.957909 + 1.65915i) q^{23} +(-1.35166 - 1.08306i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-2.18226 - 3.77979i) q^{26} +(-2.28706 + 4.66576i) q^{27} +(2.32383 - 1.26483i) q^{28} +(0.725310 - 1.25627i) q^{29} +(1.61378 - 0.629046i) q^{30} +2.78372 q^{31} -1.00000 q^{32} +(0.511429 - 3.34049i) q^{33} +(-2.22435 + 3.85269i) q^{34} +(-0.0665372 + 2.64491i) q^{35} +(0.653981 + 2.92785i) q^{36} +(-1.44648 - 2.50538i) q^{37} +(-2.18226 - 3.77979i) q^{38} +(-1.14404 + 7.47251i) q^{39} +(0.500000 - 0.866025i) q^{40} +(4.07219 + 7.05324i) q^{41} +(-4.51092 - 0.807211i) q^{42} +(-1.39891 + 2.42298i) q^{43} +(-0.975553 - 1.68971i) q^{44} +(-2.86258 - 0.897561i) q^{45} +(0.957909 - 1.65915i) q^{46} -6.79782 q^{47} +(1.35166 + 1.08306i) q^{48} +(3.80039 - 5.87852i) q^{49} +(0.500000 + 0.866025i) q^{50} +(7.17925 - 2.79844i) q^{51} +(2.18226 + 3.77979i) q^{52} +(-3.07762 + 5.33060i) q^{53} +(2.28706 - 4.66576i) q^{54} +1.95111 q^{55} +(-2.32383 + 1.26483i) q^{56} +(-1.14404 + 7.47251i) q^{57} +(-0.725310 + 1.25627i) q^{58} -8.10635 q^{59} +(-1.61378 + 0.629046i) q^{60} +0.523345 q^{61} -2.78372 q^{62} +(5.22299 + 5.97665i) q^{63} +1.00000 q^{64} -4.36452 q^{65} +(-0.511429 + 3.34049i) q^{66} -11.0791 q^{67} +(2.22435 - 3.85269i) q^{68} +(-3.09172 + 1.20514i) q^{69} +(0.0665372 - 2.64491i) q^{70} +16.3384 q^{71} +(-0.653981 - 2.92785i) q^{72} +(7.69829 - 13.3338i) q^{73} +(1.44648 + 2.50538i) q^{74} +(0.262123 - 1.71210i) q^{75} +(2.18226 + 3.77979i) q^{76} +(-4.40422 - 2.69268i) q^{77} +(1.14404 - 7.47251i) q^{78} +7.55094 q^{79} +(-0.500000 + 0.866025i) q^{80} +(-8.14462 + 3.82952i) q^{81} +(-4.07219 - 7.05324i) q^{82} +(1.48957 - 2.58002i) q^{83} +(4.51092 + 0.807211i) q^{84} +(2.22435 + 3.85269i) q^{85} +(1.39891 - 2.42298i) q^{86} +(2.34099 - 0.912507i) q^{87} +(0.975553 + 1.68971i) q^{88} +(4.62826 + 8.01637i) q^{89} +(2.86258 + 0.897561i) q^{90} +(9.85201 + 6.02339i) q^{91} +(-0.957909 + 1.65915i) q^{92} +(3.76264 + 3.01492i) q^{93} +6.79782 q^{94} -4.36452 q^{95} +(-1.35166 - 1.08306i) q^{96} +(-6.19076 + 10.7227i) q^{97} +(-3.80039 + 5.87852i) q^{98} +(4.30922 - 3.96131i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 12q^{2} + 2q^{3} + 12q^{4} - 6q^{5} - 2q^{6} + 4q^{7} - 12q^{8} - 4q^{9} + O(q^{10}) \) \( 12q - 12q^{2} + 2q^{3} + 12q^{4} - 6q^{5} - 2q^{6} + 4q^{7} - 12q^{8} - 4q^{9} + 6q^{10} - 7q^{11} + 2q^{12} - 2q^{13} - 4q^{14} - q^{15} + 12q^{16} + q^{17} + 4q^{18} - 2q^{19} - 6q^{20} + 29q^{21} + 7q^{22} - 9q^{23} - 2q^{24} - 6q^{25} + 2q^{26} + 11q^{27} + 4q^{28} + 3q^{29} + q^{30} + 18q^{31} - 12q^{32} + 27q^{33} - q^{34} - 8q^{35} - 4q^{36} + 6q^{37} + 2q^{38} + 10q^{39} + 6q^{40} - 11q^{41} - 29q^{42} + 23q^{43} - 7q^{44} + 5q^{45} + 9q^{46} - 2q^{47} + 2q^{48} + 24q^{49} + 6q^{50} - 15q^{51} - 2q^{52} - 4q^{53} - 11q^{54} + 14q^{55} - 4q^{56} + 10q^{57} - 3q^{58} - 22q^{59} - q^{60} + 50q^{61} - 18q^{62} - q^{63} + 12q^{64} + 4q^{65} - 27q^{66} + 4q^{67} + q^{68} - 12q^{69} + 8q^{70} + 22q^{71} + 4q^{72} + 24q^{73} - 6q^{74} - q^{75} - 2q^{76} - 11q^{77} - 10q^{78} + 2q^{79} - 6q^{80} + 20q^{81} + 11q^{82} + 4q^{83} + 29q^{84} + q^{85} - 23q^{86} + 7q^{88} + 2q^{89} - 5q^{90} - 8q^{91} - 9q^{92} + 40q^{93} + 2q^{94} + 4q^{95} - 2q^{96} - 36q^{97} - 24q^{98} + 15q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) 1.35166 + 1.08306i 0.780382 + 0.625302i
\(4\) 1.00000 0.500000
\(5\) −0.500000 + 0.866025i −0.223607 + 0.387298i
\(6\) −1.35166 1.08306i −0.551814 0.442156i
\(7\) 2.32383 1.26483i 0.878326 0.478062i
\(8\) −1.00000 −0.353553
\(9\) 0.653981 + 2.92785i 0.217994 + 0.975950i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) −0.975553 1.68971i −0.294140 0.509466i 0.680644 0.732614i \(-0.261700\pi\)
−0.974785 + 0.223148i \(0.928367\pi\)
\(12\) 1.35166 + 1.08306i 0.390191 + 0.312651i
\(13\) 2.18226 + 3.77979i 0.605250 + 1.04832i 0.992012 + 0.126145i \(0.0402604\pi\)
−0.386761 + 0.922180i \(0.626406\pi\)
\(14\) −2.32383 + 1.26483i −0.621070 + 0.338041i
\(15\) −1.61378 + 0.629046i −0.416677 + 0.162419i
\(16\) 1.00000 0.250000
\(17\) 2.22435 3.85269i 0.539485 0.934415i −0.459447 0.888205i \(-0.651952\pi\)
0.998932 0.0462097i \(-0.0147142\pi\)
\(18\) −0.653981 2.92785i −0.154145 0.690101i
\(19\) 2.18226 + 3.77979i 0.500645 + 0.867143i 1.00000 0.000745051i \(0.000237157\pi\)
−0.499355 + 0.866398i \(0.666430\pi\)
\(20\) −0.500000 + 0.866025i −0.111803 + 0.193649i
\(21\) 4.51092 + 0.807211i 0.984364 + 0.176148i
\(22\) 0.975553 + 1.68971i 0.207989 + 0.360247i
\(23\) −0.957909 + 1.65915i −0.199738 + 0.345956i −0.948443 0.316947i \(-0.897342\pi\)
0.748705 + 0.662903i \(0.230676\pi\)
\(24\) −1.35166 1.08306i −0.275907 0.221078i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −2.18226 3.77979i −0.427977 0.741277i
\(27\) −2.28706 + 4.66576i −0.440146 + 0.897926i
\(28\) 2.32383 1.26483i 0.439163 0.239031i
\(29\) 0.725310 1.25627i 0.134687 0.233284i −0.790791 0.612086i \(-0.790331\pi\)
0.925478 + 0.378802i \(0.123664\pi\)
\(30\) 1.61378 0.629046i 0.294635 0.114848i
\(31\) 2.78372 0.499970 0.249985 0.968250i \(-0.419574\pi\)
0.249985 + 0.968250i \(0.419574\pi\)
\(32\) −1.00000 −0.176777
\(33\) 0.511429 3.34049i 0.0890284 0.581505i
\(34\) −2.22435 + 3.85269i −0.381473 + 0.660731i
\(35\) −0.0665372 + 2.64491i −0.0112468 + 0.447072i
\(36\) 0.653981 + 2.92785i 0.108997 + 0.487975i
\(37\) −1.44648 2.50538i −0.237800 0.411881i 0.722283 0.691598i \(-0.243093\pi\)
−0.960083 + 0.279716i \(0.909760\pi\)
\(38\) −2.18226 3.77979i −0.354010 0.613163i
\(39\) −1.14404 + 7.47251i −0.183193 + 1.19656i
\(40\) 0.500000 0.866025i 0.0790569 0.136931i
\(41\) 4.07219 + 7.05324i 0.635969 + 1.10153i 0.986309 + 0.164908i \(0.0527328\pi\)
−0.350340 + 0.936623i \(0.613934\pi\)
\(42\) −4.51092 0.807211i −0.696050 0.124555i
\(43\) −1.39891 + 2.42298i −0.213332 + 0.369501i −0.952755 0.303739i \(-0.901765\pi\)
0.739423 + 0.673241i \(0.235098\pi\)
\(44\) −0.975553 1.68971i −0.147070 0.254733i
\(45\) −2.86258 0.897561i −0.426729 0.133801i
\(46\) 0.957909 1.65915i 0.141236 0.244628i
\(47\) −6.79782 −0.991564 −0.495782 0.868447i \(-0.665118\pi\)
−0.495782 + 0.868447i \(0.665118\pi\)
\(48\) 1.35166 + 1.08306i 0.195096 + 0.156326i
\(49\) 3.80039 5.87852i 0.542913 0.839789i
\(50\) 0.500000 + 0.866025i 0.0707107 + 0.122474i
\(51\) 7.17925 2.79844i 1.00530 0.391860i
\(52\) 2.18226 + 3.77979i 0.302625 + 0.524162i
\(53\) −3.07762 + 5.33060i −0.422744 + 0.732214i −0.996207 0.0870173i \(-0.972266\pi\)
0.573463 + 0.819232i \(0.305600\pi\)
\(54\) 2.28706 4.66576i 0.311230 0.634930i
\(55\) 1.95111 0.263087
\(56\) −2.32383 + 1.26483i −0.310535 + 0.169021i
\(57\) −1.14404 + 7.47251i −0.151532 + 0.989758i
\(58\) −0.725310 + 1.25627i −0.0952379 + 0.164957i
\(59\) −8.10635 −1.05536 −0.527679 0.849444i \(-0.676938\pi\)
−0.527679 + 0.849444i \(0.676938\pi\)
\(60\) −1.61378 + 0.629046i −0.208339 + 0.0812095i
\(61\) 0.523345 0.0670074 0.0335037 0.999439i \(-0.489333\pi\)
0.0335037 + 0.999439i \(0.489333\pi\)
\(62\) −2.78372 −0.353532
\(63\) 5.22299 + 5.97665i 0.658035 + 0.752988i
\(64\) 1.00000 0.125000
\(65\) −4.36452 −0.541352
\(66\) −0.511429 + 3.34049i −0.0629526 + 0.411186i
\(67\) −11.0791 −1.35353 −0.676766 0.736198i \(-0.736619\pi\)
−0.676766 + 0.736198i \(0.736619\pi\)
\(68\) 2.22435 3.85269i 0.269742 0.467207i
\(69\) −3.09172 + 1.20514i −0.372199 + 0.145082i
\(70\) 0.0665372 2.64491i 0.00795272 0.316128i
\(71\) 16.3384 1.93902 0.969508 0.245059i \(-0.0788073\pi\)
0.969508 + 0.245059i \(0.0788073\pi\)
\(72\) −0.653981 2.92785i −0.0770724 0.345051i
\(73\) 7.69829 13.3338i 0.901017 1.56061i 0.0748413 0.997195i \(-0.476155\pi\)
0.826176 0.563412i \(-0.190512\pi\)
\(74\) 1.44648 + 2.50538i 0.168150 + 0.291244i
\(75\) 0.262123 1.71210i 0.0302673 0.197696i
\(76\) 2.18226 + 3.77979i 0.250323 + 0.433571i
\(77\) −4.40422 2.69268i −0.501908 0.306860i
\(78\) 1.14404 7.47251i 0.129537 0.846095i
\(79\) 7.55094 0.849547 0.424773 0.905300i \(-0.360354\pi\)
0.424773 + 0.905300i \(0.360354\pi\)
\(80\) −0.500000 + 0.866025i −0.0559017 + 0.0968246i
\(81\) −8.14462 + 3.82952i −0.904958 + 0.425502i
\(82\) −4.07219 7.05324i −0.449698 0.778900i
\(83\) 1.48957 2.58002i 0.163502 0.283194i −0.772620 0.634868i \(-0.781054\pi\)
0.936122 + 0.351675i \(0.114388\pi\)
\(84\) 4.51092 + 0.807211i 0.492182 + 0.0880739i
\(85\) 2.22435 + 3.85269i 0.241265 + 0.417883i
\(86\) 1.39891 2.42298i 0.150848 0.261277i
\(87\) 2.34099 0.912507i 0.250980 0.0978310i
\(88\) 0.975553 + 1.68971i 0.103994 + 0.180123i
\(89\) 4.62826 + 8.01637i 0.490594 + 0.849734i 0.999941 0.0108272i \(-0.00344647\pi\)
−0.509347 + 0.860561i \(0.670113\pi\)
\(90\) 2.86258 + 0.897561i 0.301743 + 0.0946113i
\(91\) 9.85201 + 6.02339i 1.03277 + 0.631423i
\(92\) −0.957909 + 1.65915i −0.0998689 + 0.172978i
\(93\) 3.76264 + 3.01492i 0.390168 + 0.312633i
\(94\) 6.79782 0.701142
\(95\) −4.36452 −0.447791
\(96\) −1.35166 1.08306i −0.137953 0.110539i
\(97\) −6.19076 + 10.7227i −0.628576 + 1.08873i 0.359261 + 0.933237i \(0.383029\pi\)
−0.987838 + 0.155489i \(0.950305\pi\)
\(98\) −3.80039 + 5.87852i −0.383897 + 0.593821i
\(99\) 4.30922 3.96131i 0.433093 0.398127i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) −2.88844 5.00292i −0.287410 0.497809i 0.685780 0.727808i \(-0.259461\pi\)
−0.973191 + 0.229999i \(0.926128\pi\)
\(102\) −7.17925 + 2.79844i −0.710852 + 0.277087i
\(103\) 6.70201 11.6082i 0.660368 1.14379i −0.320150 0.947367i \(-0.603733\pi\)
0.980519 0.196425i \(-0.0629332\pi\)
\(104\) −2.18226 3.77979i −0.213988 0.370639i
\(105\) −2.95453 + 3.50297i −0.288332 + 0.341855i
\(106\) 3.07762 5.33060i 0.298925 0.517754i
\(107\) 0.143309 + 0.248218i 0.0138542 + 0.0239961i 0.872869 0.487954i \(-0.162257\pi\)
−0.859015 + 0.511950i \(0.828923\pi\)
\(108\) −2.28706 + 4.66576i −0.220073 + 0.448963i
\(109\) −5.85760 + 10.1457i −0.561056 + 0.971778i 0.436348 + 0.899778i \(0.356272\pi\)
−0.997405 + 0.0720001i \(0.977062\pi\)
\(110\) −1.95111 −0.186031
\(111\) 0.758310 4.95304i 0.0719756 0.470122i
\(112\) 2.32383 1.26483i 0.219581 0.119516i
\(113\) −4.14879 7.18591i −0.390285 0.675994i 0.602202 0.798344i \(-0.294290\pi\)
−0.992487 + 0.122350i \(0.960957\pi\)
\(114\) 1.14404 7.47251i 0.107149 0.699864i
\(115\) −0.957909 1.65915i −0.0893255 0.154716i
\(116\) 0.725310 1.25627i 0.0673434 0.116642i
\(117\) −9.63950 + 8.86124i −0.891172 + 0.819222i
\(118\) 8.10635 0.746250
\(119\) 0.296004 11.7664i 0.0271347 1.07863i
\(120\) 1.61378 0.629046i 0.147318 0.0574238i
\(121\) 3.59659 6.22948i 0.326963 0.566316i
\(122\) −0.523345 −0.0473814
\(123\) −2.13483 + 13.9440i −0.192491 + 1.25729i
\(124\) 2.78372 0.249985
\(125\) 1.00000 0.0894427
\(126\) −5.22299 5.97665i −0.465301 0.532443i
\(127\) −17.0531 −1.51322 −0.756609 0.653868i \(-0.773145\pi\)
−0.756609 + 0.653868i \(0.773145\pi\)
\(128\) −1.00000 −0.0883883
\(129\) −4.51508 + 1.75996i −0.397530 + 0.154956i
\(130\) 4.36452 0.382794
\(131\) 6.05853 10.4937i 0.529337 0.916838i −0.470078 0.882625i \(-0.655774\pi\)
0.999415 0.0342129i \(-0.0108924\pi\)
\(132\) 0.511429 3.34049i 0.0445142 0.290753i
\(133\) 9.85201 + 6.02339i 0.854278 + 0.522294i
\(134\) 11.0791 0.957091
\(135\) −2.89714 4.31354i −0.249346 0.371250i
\(136\) −2.22435 + 3.85269i −0.190737 + 0.330366i
\(137\) −6.96001 12.0551i −0.594634 1.02994i −0.993598 0.112970i \(-0.963964\pi\)
0.398964 0.916966i \(-0.369370\pi\)
\(138\) 3.09172 1.20514i 0.263185 0.102588i
\(139\) −11.1729 19.3521i −0.947676 1.64142i −0.750303 0.661094i \(-0.770092\pi\)
−0.197373 0.980328i \(-0.563241\pi\)
\(140\) −0.0665372 + 2.64491i −0.00562342 + 0.223536i
\(141\) −9.18835 7.36242i −0.773799 0.620027i
\(142\) −16.3384 −1.37109
\(143\) 4.25783 7.37477i 0.356057 0.616709i
\(144\) 0.653981 + 2.92785i 0.0544984 + 0.243988i
\(145\) 0.725310 + 1.25627i 0.0602338 + 0.104328i
\(146\) −7.69829 + 13.3338i −0.637115 + 1.10352i
\(147\) 11.5036 3.82975i 0.948802 0.315872i
\(148\) −1.44648 2.50538i −0.118900 0.205941i
\(149\) 3.72142 6.44569i 0.304870 0.528051i −0.672362 0.740222i \(-0.734720\pi\)
0.977232 + 0.212171i \(0.0680535\pi\)
\(150\) −0.262123 + 1.71210i −0.0214022 + 0.139793i
\(151\) −3.31670 5.74470i −0.269909 0.467497i 0.698929 0.715191i \(-0.253660\pi\)
−0.968838 + 0.247694i \(0.920327\pi\)
\(152\) −2.18226 3.77979i −0.177005 0.306581i
\(153\) 12.7348 + 3.99298i 1.02955 + 0.322814i
\(154\) 4.40422 + 2.69268i 0.354902 + 0.216983i
\(155\) −1.39186 + 2.41077i −0.111797 + 0.193638i
\(156\) −1.14404 + 7.47251i −0.0915965 + 0.598279i
\(157\) 10.0020 0.798243 0.399122 0.916898i \(-0.369315\pi\)
0.399122 + 0.916898i \(0.369315\pi\)
\(158\) −7.55094 −0.600720
\(159\) −9.93325 + 3.87193i −0.787758 + 0.307064i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) −0.127473 + 5.06718i −0.0100463 + 0.399349i
\(162\) 8.14462 3.82952i 0.639902 0.300875i
\(163\) −9.74187 16.8734i −0.763043 1.32163i −0.941275 0.337640i \(-0.890371\pi\)
0.178233 0.983988i \(-0.442962\pi\)
\(164\) 4.07219 + 7.05324i 0.317985 + 0.550765i
\(165\) 2.63724 + 2.11316i 0.205309 + 0.164509i
\(166\) −1.48957 + 2.58002i −0.115613 + 0.200248i
\(167\) −11.3506 19.6598i −0.878334 1.52132i −0.853168 0.521636i \(-0.825322\pi\)
−0.0251665 0.999683i \(-0.508012\pi\)
\(168\) −4.51092 0.807211i −0.348025 0.0622777i
\(169\) −3.02453 + 5.23864i −0.232656 + 0.402972i
\(170\) −2.22435 3.85269i −0.170600 0.295488i
\(171\) −9.63950 + 8.86124i −0.737151 + 0.677636i
\(172\) −1.39891 + 2.42298i −0.106666 + 0.184751i
\(173\) −9.96320 −0.757488 −0.378744 0.925501i \(-0.623644\pi\)
−0.378744 + 0.925501i \(0.623644\pi\)
\(174\) −2.34099 + 0.912507i −0.177470 + 0.0691770i
\(175\) −2.25729 1.38008i −0.170635 0.104324i
\(176\) −0.975553 1.68971i −0.0735351 0.127367i
\(177\) −10.9571 8.77963i −0.823583 0.659918i
\(178\) −4.62826 8.01637i −0.346902 0.600853i
\(179\) 2.42336 4.19738i 0.181130 0.313727i −0.761136 0.648593i \(-0.775358\pi\)
0.942266 + 0.334866i \(0.108691\pi\)
\(180\) −2.86258 0.897561i −0.213364 0.0669003i
\(181\) 1.87609 0.139449 0.0697243 0.997566i \(-0.477788\pi\)
0.0697243 + 0.997566i \(0.477788\pi\)
\(182\) −9.85201 6.02339i −0.730280 0.446483i
\(183\) 0.707385 + 0.566812i 0.0522914 + 0.0418999i
\(184\) 0.957909 1.65915i 0.0706180 0.122314i
\(185\) 2.89296 0.212695
\(186\) −3.76264 3.01492i −0.275890 0.221065i
\(187\) −8.67990 −0.634737
\(188\) −6.79782 −0.495782
\(189\) 0.586664 + 13.7352i 0.0426735 + 0.999089i
\(190\) 4.36452 0.316636
\(191\) −2.49331 −0.180410 −0.0902050 0.995923i \(-0.528752\pi\)
−0.0902050 + 0.995923i \(0.528752\pi\)
\(192\) 1.35166 + 1.08306i 0.0975478 + 0.0781628i
\(193\) −19.1600 −1.37917 −0.689584 0.724206i \(-0.742206\pi\)
−0.689584 + 0.724206i \(0.742206\pi\)
\(194\) 6.19076 10.7227i 0.444470 0.769845i
\(195\) −5.89936 4.72702i −0.422462 0.338509i
\(196\) 3.80039 5.87852i 0.271456 0.419895i
\(197\) 12.6440 0.900851 0.450425 0.892814i \(-0.351272\pi\)
0.450425 + 0.892814i \(0.351272\pi\)
\(198\) −4.30922 + 3.96131i −0.306243 + 0.281518i
\(199\) 10.0418 17.3929i 0.711842 1.23295i −0.252323 0.967643i \(-0.581195\pi\)
0.964165 0.265303i \(-0.0854721\pi\)
\(200\) 0.500000 + 0.866025i 0.0353553 + 0.0612372i
\(201\) −14.9752 11.9993i −1.05627 0.846367i
\(202\) 2.88844 + 5.00292i 0.203230 + 0.352004i
\(203\) 0.0965203 3.83677i 0.00677440 0.269288i
\(204\) 7.17925 2.79844i 0.502648 0.195930i
\(205\) −8.14438 −0.568828
\(206\) −6.70201 + 11.6082i −0.466951 + 0.808783i
\(207\) −5.48419 1.71956i −0.381178 0.119518i
\(208\) 2.18226 + 3.77979i 0.151313 + 0.262081i
\(209\) 4.25783 7.37477i 0.294520 0.510123i
\(210\) 2.95453 3.50297i 0.203882 0.241728i
\(211\) −0.986346 1.70840i −0.0679029 0.117611i 0.830075 0.557652i \(-0.188297\pi\)
−0.897978 + 0.440040i \(0.854964\pi\)
\(212\) −3.07762 + 5.33060i −0.211372 + 0.366107i
\(213\) 22.0841 + 17.6954i 1.51317 + 1.21247i
\(214\) −0.143309 0.248218i −0.00979637 0.0169678i
\(215\) −1.39891 2.42298i −0.0954048 0.165246i
\(216\) 2.28706 4.66576i 0.155615 0.317465i
\(217\) 6.46889 3.52094i 0.439137 0.239017i
\(218\) 5.85760 10.1457i 0.396727 0.687151i
\(219\) 24.8468 9.68516i 1.67899 0.654463i
\(220\) 1.95111 0.131544
\(221\) 19.4165 1.30609
\(222\) −0.758310 + 4.95304i −0.0508945 + 0.332426i
\(223\) −4.76467 + 8.25264i −0.319066 + 0.552638i −0.980293 0.197547i \(-0.936702\pi\)
0.661228 + 0.750185i \(0.270036\pi\)
\(224\) −2.32383 + 1.26483i −0.155268 + 0.0845103i
\(225\) 2.20860 2.03029i 0.147240 0.135353i
\(226\) 4.14879 + 7.18591i 0.275973 + 0.478000i
\(227\) 2.67450 + 4.63237i 0.177513 + 0.307461i 0.941028 0.338329i \(-0.109862\pi\)
−0.763515 + 0.645790i \(0.776528\pi\)
\(228\) −1.14404 + 7.47251i −0.0757659 + 0.494879i
\(229\) 2.93966 5.09164i 0.194258 0.336465i −0.752399 0.658708i \(-0.771103\pi\)
0.946657 + 0.322243i \(0.104437\pi\)
\(230\) 0.957909 + 1.65915i 0.0631627 + 0.109401i
\(231\) −3.03669 8.40962i −0.199800 0.553312i
\(232\) −0.725310 + 1.25627i −0.0476190 + 0.0824785i
\(233\) 9.70278 + 16.8057i 0.635650 + 1.10098i 0.986377 + 0.164500i \(0.0526012\pi\)
−0.350727 + 0.936478i \(0.614065\pi\)
\(234\) 9.63950 8.86124i 0.630154 0.579278i
\(235\) 3.39891 5.88708i 0.221720 0.384031i
\(236\) −8.10635 −0.527679
\(237\) 10.2063 + 8.17809i 0.662972 + 0.531224i
\(238\) −0.296004 + 11.7664i −0.0191871 + 0.762705i
\(239\) 7.54422 + 13.0670i 0.487995 + 0.845232i 0.999905 0.0138075i \(-0.00439520\pi\)
−0.511910 + 0.859039i \(0.671062\pi\)
\(240\) −1.61378 + 0.629046i −0.104169 + 0.0406047i
\(241\) −2.07805 3.59929i −0.133859 0.231850i 0.791302 0.611425i \(-0.209404\pi\)
−0.925161 + 0.379575i \(0.876070\pi\)
\(242\) −3.59659 + 6.22948i −0.231198 + 0.400446i
\(243\) −15.1564 3.64486i −0.972280 0.233818i
\(244\) 0.523345 0.0335037
\(245\) 3.19076 + 6.23049i 0.203850 + 0.398052i
\(246\) 2.13483 13.9440i 0.136112 0.889037i
\(247\) −9.52453 + 16.4970i −0.606031 + 1.04968i
\(248\) −2.78372 −0.176766
\(249\) 4.80770 1.87402i 0.304676 0.118761i
\(250\) −1.00000 −0.0632456
\(251\) −17.8669 −1.12775 −0.563875 0.825860i \(-0.690690\pi\)
−0.563875 + 0.825860i \(0.690690\pi\)
\(252\) 5.22299 + 5.97665i 0.329017 + 0.376494i
\(253\) 3.73797 0.235004
\(254\) 17.0531 1.07001
\(255\) −1.16611 + 7.61663i −0.0730244 + 0.476972i
\(256\) 1.00000 0.0625000
\(257\) 11.1361 19.2882i 0.694649 1.20317i −0.275650 0.961258i \(-0.588893\pi\)
0.970299 0.241909i \(-0.0777736\pi\)
\(258\) 4.51508 1.75996i 0.281096 0.109570i
\(259\) −6.53026 3.99252i −0.405771 0.248083i
\(260\) −4.36452 −0.270676
\(261\) 4.15252 + 1.30202i 0.257035 + 0.0805931i
\(262\) −6.05853 + 10.4937i −0.374297 + 0.648302i
\(263\) 8.14728 + 14.1115i 0.502383 + 0.870153i 0.999996 + 0.00275381i \(0.000876566\pi\)
−0.497613 + 0.867399i \(0.665790\pi\)
\(264\) −0.511429 + 3.34049i −0.0314763 + 0.205593i
\(265\) −3.07762 5.33060i −0.189057 0.327456i
\(266\) −9.85201 6.02339i −0.604066 0.369318i
\(267\) −2.42634 + 15.8481i −0.148490 + 0.969887i
\(268\) −11.0791 −0.676766
\(269\) −3.84635 + 6.66207i −0.234516 + 0.406194i −0.959132 0.282959i \(-0.908684\pi\)
0.724616 + 0.689153i \(0.242017\pi\)
\(270\) 2.89714 + 4.31354i 0.176314 + 0.262513i
\(271\) 3.32919 + 5.76633i 0.202234 + 0.350279i 0.949248 0.314529i \(-0.101847\pi\)
−0.747014 + 0.664808i \(0.768513\pi\)
\(272\) 2.22435 3.85269i 0.134871 0.233604i
\(273\) 6.79292 + 18.8119i 0.411127 + 1.13855i
\(274\) 6.96001 + 12.0551i 0.420470 + 0.728275i
\(275\) −0.975553 + 1.68971i −0.0588281 + 0.101893i
\(276\) −3.09172 + 1.20514i −0.186100 + 0.0725408i
\(277\) 13.1846 + 22.8363i 0.792184 + 1.37210i 0.924612 + 0.380910i \(0.124389\pi\)
−0.132428 + 0.991193i \(0.542277\pi\)
\(278\) 11.1729 + 19.3521i 0.670108 + 1.16066i
\(279\) 1.82050 + 8.15031i 0.108990 + 0.487946i
\(280\) 0.0665372 2.64491i 0.00397636 0.158064i
\(281\) −15.3086 + 26.5153i −0.913235 + 1.58177i −0.103769 + 0.994601i \(0.533090\pi\)
−0.809466 + 0.587167i \(0.800243\pi\)
\(282\) 9.18835 + 7.36242i 0.547159 + 0.438426i
\(283\) −28.7863 −1.71117 −0.855585 0.517662i \(-0.826802\pi\)
−0.855585 + 0.517662i \(0.826802\pi\)
\(284\) 16.3384 0.969508
\(285\) −5.89936 4.72702i −0.349448 0.280005i
\(286\) −4.25783 + 7.37477i −0.251770 + 0.436079i
\(287\) 18.3843 + 11.2399i 1.08519 + 0.663470i
\(288\) −0.653981 2.92785i −0.0385362 0.172525i
\(289\) −1.39548 2.41705i −0.0820873 0.142179i
\(290\) −0.725310 1.25627i −0.0425917 0.0737710i
\(291\) −19.9811 + 7.78854i −1.17131 + 0.456572i
\(292\) 7.69829 13.3338i 0.450509 0.780304i
\(293\) −0.549142 0.951142i −0.0320812 0.0555663i 0.849539 0.527526i \(-0.176880\pi\)
−0.881620 + 0.471959i \(0.843547\pi\)
\(294\) −11.5036 + 3.82975i −0.670904 + 0.223355i
\(295\) 4.05318 7.02031i 0.235985 0.408738i
\(296\) 1.44648 + 2.50538i 0.0840749 + 0.145622i
\(297\) 10.1149 0.687229i 0.586928 0.0398771i
\(298\) −3.72142 + 6.44569i −0.215576 + 0.373389i
\(299\) −8.36163 −0.483566
\(300\) 0.262123 1.71210i 0.0151337 0.0988482i
\(301\) −0.186159 + 7.39999i −0.0107300 + 0.426528i
\(302\) 3.31670 + 5.74470i 0.190855 + 0.330570i
\(303\) 1.51425 9.89060i 0.0869914 0.568200i
\(304\) 2.18226 + 3.77979i 0.125161 + 0.216786i
\(305\) −0.261672 + 0.453230i −0.0149833 + 0.0259519i
\(306\) −12.7348 3.99298i −0.727999 0.228264i
\(307\) −24.2439 −1.38367 −0.691837 0.722054i \(-0.743198\pi\)
−0.691837 + 0.722054i \(0.743198\pi\)
\(308\) −4.40422 2.69268i −0.250954 0.153430i
\(309\) 21.6312 8.43174i 1.23056 0.479665i
\(310\) 1.39186 2.41077i 0.0790522 0.136922i
\(311\) 32.9797 1.87010 0.935052 0.354510i \(-0.115352\pi\)
0.935052 + 0.354510i \(0.115352\pi\)
\(312\) 1.14404 7.47251i 0.0647685 0.423047i
\(313\) 22.7978 1.28861 0.644303 0.764770i \(-0.277148\pi\)
0.644303 + 0.764770i \(0.277148\pi\)
\(314\) −10.0020 −0.564443
\(315\) −7.78743 + 1.53491i −0.438772 + 0.0864825i
\(316\) 7.55094 0.424773
\(317\) 16.1846 0.909016 0.454508 0.890743i \(-0.349815\pi\)
0.454508 + 0.890743i \(0.349815\pi\)
\(318\) 9.93325 3.87193i 0.557029 0.217127i
\(319\) −2.83032 −0.158467
\(320\) −0.500000 + 0.866025i −0.0279508 + 0.0484123i
\(321\) −0.0751289 + 0.490718i −0.00419328 + 0.0273892i
\(322\) 0.127473 5.06718i 0.00710381 0.282383i
\(323\) 19.4165 1.08036
\(324\) −8.14462 + 3.82952i −0.452479 + 0.212751i
\(325\) 2.18226 3.77979i 0.121050 0.209665i
\(326\) 9.74187 + 16.8734i 0.539553 + 0.934532i
\(327\) −18.9058 + 7.36940i −1.04549 + 0.407529i
\(328\) −4.07219 7.05324i −0.224849 0.389450i
\(329\) −15.7970 + 8.59812i −0.870916 + 0.474029i
\(330\) −2.63724 2.11316i −0.145175 0.116325i
\(331\) 26.0659 1.43271 0.716355 0.697736i \(-0.245809\pi\)
0.716355 + 0.697736i \(0.245809\pi\)
\(332\) 1.48957 2.58002i 0.0817510 0.141597i
\(333\) 6.38940 5.87355i 0.350137 0.321868i
\(334\) 11.3506 + 19.6598i 0.621076 + 1.07574i
\(335\) 5.53957 9.59481i 0.302659 0.524220i
\(336\) 4.51092 + 0.807211i 0.246091 + 0.0440369i
\(337\) −4.71953 8.17447i −0.257089 0.445292i 0.708372 0.705840i \(-0.249430\pi\)
−0.965461 + 0.260548i \(0.916097\pi\)
\(338\) 3.02453 5.23864i 0.164513 0.284944i
\(339\) 2.17498 14.2063i 0.118129 0.771580i
\(340\) 2.22435 + 3.85269i 0.120632 + 0.208941i
\(341\) −2.71566 4.70367i −0.147061 0.254718i
\(342\) 9.63950 8.86124i 0.521244 0.479161i
\(343\) 1.39610 18.4676i 0.0753825 0.997155i
\(344\) 1.39891 2.42298i 0.0754242 0.130638i
\(345\) 0.502180 3.28008i 0.0270364 0.176593i
\(346\) 9.96320 0.535625
\(347\) 25.3732 1.36210 0.681052 0.732235i \(-0.261523\pi\)
0.681052 + 0.732235i \(0.261523\pi\)
\(348\) 2.34099 0.912507i 0.125490 0.0489155i
\(349\) −8.02651 + 13.9023i −0.429649 + 0.744174i −0.996842 0.0794110i \(-0.974696\pi\)
0.567193 + 0.823585i \(0.308029\pi\)
\(350\) 2.25729 + 1.38008i 0.120657 + 0.0737684i
\(351\) −22.6266 + 1.53730i −1.20772 + 0.0820548i
\(352\) 0.975553 + 1.68971i 0.0519972 + 0.0900617i
\(353\) −11.8383 20.5045i −0.630088 1.09135i −0.987533 0.157411i \(-0.949685\pi\)
0.357445 0.933934i \(-0.383648\pi\)
\(354\) 10.9571 + 8.77963i 0.582361 + 0.466632i
\(355\) −8.16922 + 14.1495i −0.433577 + 0.750978i
\(356\) 4.62826 + 8.01637i 0.245297 + 0.424867i
\(357\) 13.1438 15.5837i 0.695644 0.824775i
\(358\) −2.42336 + 4.19738i −0.128078 + 0.221838i
\(359\) −5.38333 9.32419i −0.284121 0.492112i 0.688275 0.725450i \(-0.258368\pi\)
−0.972396 + 0.233338i \(0.925035\pi\)
\(360\) 2.86258 + 0.897561i 0.150871 + 0.0473056i
\(361\) −0.0245294 + 0.0424862i −0.00129102 + 0.00223612i
\(362\) −1.87609 −0.0986051
\(363\) 11.6082 4.52484i 0.609275 0.237493i
\(364\) 9.85201 + 6.02339i 0.516386 + 0.315711i
\(365\) 7.69829 + 13.3338i 0.402947 + 0.697925i
\(366\) −0.707385 0.566812i −0.0369756 0.0296277i
\(367\) −10.4353 18.0745i −0.544720 0.943483i −0.998624 0.0524329i \(-0.983302\pi\)
0.453904 0.891051i \(-0.350031\pi\)
\(368\) −0.957909 + 1.65915i −0.0499345 + 0.0864890i
\(369\) −17.9877 + 16.5354i −0.936402 + 0.860801i
\(370\) −2.89296 −0.150398
\(371\) −0.409553 + 16.2801i −0.0212629 + 0.845221i
\(372\) 3.76264 + 3.01492i 0.195084 + 0.156316i
\(373\) −1.51656 + 2.62677i −0.0785247 + 0.136009i −0.902614 0.430452i \(-0.858354\pi\)
0.824089 + 0.566460i \(0.191688\pi\)
\(374\) 8.67990 0.448827
\(375\) 1.35166 + 1.08306i 0.0697995 + 0.0559288i
\(376\) 6.79782 0.350571
\(377\) 6.33127 0.326077
\(378\) −0.586664 13.7352i −0.0301747 0.706463i
\(379\) −24.2090 −1.24353 −0.621766 0.783203i \(-0.713585\pi\)
−0.621766 + 0.783203i \(0.713585\pi\)
\(380\) −4.36452 −0.223895
\(381\) −23.0500 18.4695i −1.18089 0.946219i
\(382\) 2.49331 0.127569
\(383\) 14.8738 25.7623i 0.760018 1.31639i −0.182823 0.983146i \(-0.558523\pi\)
0.942841 0.333244i \(-0.108143\pi\)
\(384\) −1.35166 1.08306i −0.0689767 0.0552695i
\(385\) 4.53404 2.46783i 0.231076 0.125772i
\(386\) 19.1600 0.975218
\(387\) −8.00899 2.51121i −0.407120 0.127652i
\(388\) −6.19076 + 10.7227i −0.314288 + 0.544363i
\(389\) 0.628857 + 1.08921i 0.0318843 + 0.0552252i 0.881527 0.472133i \(-0.156516\pi\)
−0.849643 + 0.527358i \(0.823183\pi\)
\(390\) 5.89936 + 4.72702i 0.298726 + 0.239362i
\(391\) 4.26146 + 7.38106i 0.215511 + 0.373276i
\(392\) −3.80039 + 5.87852i −0.191949 + 0.296910i
\(393\) 19.5543 7.62219i 0.986386 0.384489i
\(394\) −12.6440 −0.636998
\(395\) −3.77547 + 6.53930i −0.189964 + 0.329028i
\(396\) 4.30922 3.96131i 0.216546 0.199063i
\(397\) 14.3741 + 24.8967i 0.721416 + 1.24953i 0.960432 + 0.278514i \(0.0898418\pi\)
−0.239016 + 0.971016i \(0.576825\pi\)
\(398\) −10.0418 + 17.3929i −0.503348 + 0.871825i
\(399\) 6.79292 + 18.8119i 0.340072 + 0.941771i
\(400\) −0.500000 0.866025i −0.0250000 0.0433013i
\(401\) −12.8554 + 22.2662i −0.641967 + 1.11192i 0.343026 + 0.939326i \(0.388548\pi\)
−0.984993 + 0.172594i \(0.944785\pi\)
\(402\) 14.9752 + 11.9993i 0.746897 + 0.598472i
\(403\) 6.07480 + 10.5219i 0.302607 + 0.524131i
\(404\) −2.88844 5.00292i −0.143705 0.248905i
\(405\) 0.755851 8.96820i 0.0375585 0.445634i
\(406\) −0.0965203 + 3.83677i −0.00479022 + 0.190416i
\(407\) −2.82224 + 4.88826i −0.139893 + 0.242302i
\(408\) −7.17925 + 2.79844i −0.355426 + 0.138543i
\(409\) −18.9989 −0.939436 −0.469718 0.882816i \(-0.655644\pi\)
−0.469718 + 0.882816i \(0.655644\pi\)
\(410\) 8.14438 0.402222
\(411\) 3.64875 23.8325i 0.179980 1.17557i
\(412\) 6.70201 11.6082i 0.330184 0.571896i
\(413\) −18.8378 + 10.2532i −0.926948 + 0.504527i
\(414\) 5.48419 + 1.71956i 0.269533 + 0.0845120i
\(415\) 1.48957 + 2.58002i 0.0731203 + 0.126648i
\(416\) −2.18226 3.77979i −0.106994 0.185319i
\(417\) 5.85736 38.2584i 0.286836 1.87352i
\(418\) −4.25783 + 7.37477i −0.208257 + 0.360712i
\(419\) −13.7359 23.7914i −0.671045 1.16228i −0.977608 0.210433i \(-0.932512\pi\)
0.306563 0.951850i \(-0.400821\pi\)
\(420\) −2.95453 + 3.50297i −0.144166 + 0.170927i
\(421\) −4.13097 + 7.15504i −0.201331 + 0.348715i −0.948958 0.315404i \(-0.897860\pi\)
0.747627 + 0.664119i \(0.231193\pi\)
\(422\) 0.986346 + 1.70840i 0.0480146 + 0.0831637i
\(423\) −4.44564 19.9030i −0.216155 0.967717i
\(424\) 3.07762 5.33060i 0.149463 0.258877i
\(425\) −4.44870 −0.215794
\(426\) −22.0841 17.6954i −1.06998 0.857347i
\(427\) 1.21617 0.661944i 0.0588544 0.0320337i
\(428\) 0.143309 + 0.248218i 0.00692708 + 0.0119981i
\(429\) 13.7424 5.35673i 0.663491 0.258626i
\(430\) 1.39891 + 2.42298i 0.0674614 + 0.116847i
\(431\) −9.94534 + 17.2258i −0.479050 + 0.829739i −0.999711 0.0240240i \(-0.992352\pi\)
0.520661 + 0.853763i \(0.325686\pi\)
\(432\) −2.28706 + 4.66576i −0.110036 + 0.224482i
\(433\) 10.8766 0.522694 0.261347 0.965245i \(-0.415833\pi\)
0.261347 + 0.965245i \(0.415833\pi\)
\(434\) −6.46889 + 3.52094i −0.310517 + 0.169011i
\(435\) −0.380241 + 2.48361i −0.0182311 + 0.119080i
\(436\) −5.85760 + 10.1457i −0.280528 + 0.485889i
\(437\) −8.36163 −0.399991
\(438\) −24.8468 + 9.68516i −1.18723 + 0.462775i
\(439\) −3.64494 −0.173964 −0.0869818 0.996210i \(-0.527722\pi\)
−0.0869818 + 0.996210i \(0.527722\pi\)
\(440\) −1.95111 −0.0930154
\(441\) 19.6968 + 7.28253i 0.937944 + 0.346787i
\(442\) −19.4165 −0.923547
\(443\) −19.0366 −0.904458 −0.452229 0.891902i \(-0.649371\pi\)
−0.452229 + 0.891902i \(0.649371\pi\)
\(444\) 0.758310 4.95304i 0.0359878 0.235061i
\(445\) −9.25651 −0.438801
\(446\) 4.76467 8.25264i 0.225613 0.390774i
\(447\) 12.0111 4.68189i 0.568107 0.221446i
\(448\) 2.32383 1.26483i 0.109791 0.0597578i
\(449\) 5.22159 0.246422 0.123211 0.992380i \(-0.460681\pi\)
0.123211 + 0.992380i \(0.460681\pi\)
\(450\) −2.20860 + 2.03029i −0.104115 + 0.0957088i
\(451\) 7.94528 13.7616i 0.374128 0.648009i
\(452\) −4.14879 7.18591i −0.195143 0.337997i
\(453\) 1.73877 11.3571i 0.0816944 0.533601i
\(454\) −2.67450 4.63237i −0.125521 0.217408i
\(455\) −10.1424 + 5.52040i −0.475484 + 0.258800i
\(456\) 1.14404 7.47251i 0.0535746 0.349932i
\(457\) −22.6223 −1.05823 −0.529113 0.848551i \(-0.677475\pi\)
−0.529113 + 0.848551i \(0.677475\pi\)
\(458\) −2.93966 + 5.09164i −0.137361 + 0.237917i
\(459\) 12.8885 + 19.1896i 0.601584 + 0.895696i
\(460\) −0.957909 1.65915i −0.0446628 0.0773582i
\(461\) −12.0085 + 20.7994i −0.559293 + 0.968724i 0.438263 + 0.898847i \(0.355594\pi\)
−0.997556 + 0.0698768i \(0.977739\pi\)
\(462\) 3.03669 + 8.40962i 0.141280 + 0.391251i
\(463\) 3.05932 + 5.29890i 0.142179 + 0.246261i 0.928317 0.371790i \(-0.121256\pi\)
−0.786138 + 0.618051i \(0.787923\pi\)
\(464\) 0.725310 1.25627i 0.0336717 0.0583211i
\(465\) −4.49232 + 1.75109i −0.208326 + 0.0812046i
\(466\) −9.70278 16.8057i −0.449472 0.778509i
\(467\) −9.30663 16.1196i −0.430660 0.745924i 0.566271 0.824219i \(-0.308386\pi\)
−0.996930 + 0.0782949i \(0.975052\pi\)
\(468\) −9.63950 + 8.86124i −0.445586 + 0.409611i
\(469\) −25.7460 + 14.0133i −1.18884 + 0.647073i
\(470\) −3.39891 + 5.88708i −0.156780 + 0.271551i
\(471\) 13.5193 + 10.8327i 0.622935 + 0.499144i
\(472\) 8.10635 0.373125
\(473\) 5.45884 0.250998
\(474\) −10.2063 8.17809i −0.468792 0.375632i
\(475\) 2.18226 3.77979i 0.100129 0.173429i
\(476\) 0.296004 11.7664i 0.0135673 0.539314i
\(477\) −17.6199 5.52471i −0.806760 0.252959i
\(478\) −7.54422 13.0670i −0.345064 0.597669i
\(479\) −5.16999 8.95469i −0.236223 0.409150i 0.723404 0.690424i \(-0.242576\pi\)
−0.959627 + 0.281274i \(0.909243\pi\)
\(480\) 1.61378 0.629046i 0.0736589 0.0287119i
\(481\) 6.31319 10.9348i 0.287857 0.498583i
\(482\) 2.07805 + 3.59929i 0.0946526 + 0.163943i
\(483\) −5.66034 + 6.71105i −0.257554 + 0.305363i
\(484\) 3.59659 6.22948i 0.163481 0.283158i
\(485\) −6.19076 10.7227i −0.281108 0.486893i
\(486\) 15.1564 + 3.64486i 0.687506 + 0.165334i
\(487\) −12.7645 + 22.1088i −0.578415 + 1.00184i 0.417246 + 0.908794i \(0.362995\pi\)
−0.995661 + 0.0930512i \(0.970338\pi\)
\(488\) −0.523345 −0.0236907
\(489\) 5.10713 33.3582i 0.230953 1.50851i
\(490\) −3.19076 6.23049i −0.144144 0.281465i
\(491\) 15.6620 + 27.1274i 0.706817 + 1.22424i 0.966032 + 0.258423i \(0.0832028\pi\)
−0.259215 + 0.965820i \(0.583464\pi\)
\(492\) −2.13483 + 13.9440i −0.0962454 + 0.628644i
\(493\) −3.22669 5.58879i −0.145323 0.251707i
\(494\) 9.52453 16.4970i 0.428529 0.742234i
\(495\) 1.27599 + 5.71255i 0.0573513 + 0.256760i
\(496\) 2.78372 0.124993
\(497\) 37.9678 20.6654i 1.70309 0.926971i
\(498\) −4.80770 + 1.87402i −0.215438 + 0.0839769i
\(499\) −6.88782 + 11.9301i −0.308341 + 0.534063i −0.978000 0.208607i \(-0.933107\pi\)
0.669658 + 0.742669i \(0.266441\pi\)
\(500\) 1.00000 0.0447214
\(501\) 5.95049 38.8667i 0.265848 1.73644i
\(502\) 17.8669 0.797439
\(503\) 35.1229 1.56605 0.783027 0.621987i \(-0.213674\pi\)
0.783027 + 0.621987i \(0.213674\pi\)
\(504\) −5.22299 5.97665i −0.232650 0.266221i
\(505\) 5.77688 0.257068
\(506\) −3.73797 −0.166173
\(507\) −9.76188 + 3.80514i −0.433540 + 0.168992i
\(508\) −17.0531 −0.756609
\(509\) −14.2484 + 24.6790i −0.631551 + 1.09388i 0.355684 + 0.934606i \(0.384248\pi\)
−0.987235 + 0.159272i \(0.949085\pi\)
\(510\) 1.16611 7.61663i 0.0516361 0.337270i
\(511\) 1.02445 40.7227i 0.0453188 1.80146i
\(512\) −1.00000 −0.0441942
\(513\) −22.6266 + 1.53730i −0.998987 + 0.0678733i
\(514\) −11.1361 + 19.2882i −0.491191 + 0.850768i
\(515\) 6.70201 + 11.6082i 0.295326 + 0.511519i
\(516\) −4.51508 + 1.75996i −0.198765 + 0.0774778i
\(517\) 6.63164 + 11.4863i 0.291659 + 0.505168i
\(518\) 6.53026 + 3.99252i 0.286923 + 0.175421i
\(519\) −13.4669 10.7907i −0.591131 0.473659i
\(520\) 4.36452 0.191397
\(521\) −10.6203 + 18.3949i −0.465284 + 0.805896i −0.999214 0.0396329i \(-0.987381\pi\)
0.533930 + 0.845529i \(0.320714\pi\)
\(522\) −4.15252 1.30202i −0.181751 0.0569879i
\(523\) 0.532595 + 0.922481i 0.0232887 + 0.0403373i 0.877435 0.479696i \(-0.159253\pi\)
−0.854146 + 0.520033i \(0.825920\pi\)
\(524\) 6.05853 10.4937i 0.264668 0.458419i
\(525\) −1.55640 4.31018i −0.0679267 0.188112i
\(526\) −8.14728 14.1115i −0.355238 0.615291i
\(527\) 6.19196 10.7248i 0.269726 0.467180i
\(528\) 0.511429 3.34049i 0.0222571 0.145376i
\(529\) 9.66482 + 16.7400i 0.420210 + 0.727824i
\(530\) 3.07762 + 5.33060i 0.133683 + 0.231547i
\(531\) −5.30140 23.7342i −0.230061 1.02998i
\(532\) 9.85201 + 6.02339i 0.427139 + 0.261147i
\(533\) −17.7732 + 30.7840i −0.769841 + 1.33340i
\(534\) 2.42634 15.8481i 0.104998 0.685814i
\(535\) −0.286617 −0.0123915
\(536\) 11.0791 0.478546
\(537\) 7.82155 3.04880i 0.337525 0.131566i
\(538\) 3.84635 6.66207i 0.165828 0.287222i
\(539\) −13.6405 0.686732i −0.587537 0.0295797i
\(540\) −2.89714 4.31354i −0.124673 0.185625i
\(541\) 16.7916 + 29.0840i 0.721929 + 1.25042i 0.960226 + 0.279226i \(0.0900777\pi\)
−0.238296 + 0.971193i \(0.576589\pi\)
\(542\) −3.32919 5.76633i −0.143001 0.247685i
\(543\) 2.53584 + 2.03191i 0.108823 + 0.0871976i
\(544\) −2.22435 + 3.85269i −0.0953683 + 0.165183i
\(545\) −5.85760 10.1457i −0.250912 0.434592i
\(546\) −6.79292 18.8119i −0.290710 0.805074i
\(547\) 4.60195 7.97081i 0.196765 0.340807i −0.750713 0.660629i \(-0.770290\pi\)
0.947478 + 0.319822i \(0.103623\pi\)
\(548\) −6.96001 12.0551i −0.297317 0.514968i
\(549\) 0.342257 + 1.53228i 0.0146072 + 0.0653959i
\(550\) 0.975553 1.68971i 0.0415977 0.0720494i
\(551\) 6.33127 0.269721
\(552\) 3.09172 1.20514i 0.131592 0.0512941i
\(553\) 17.5471 9.55069i 0.746179 0.406137i
\(554\) −13.1846 22.8363i −0.560158 0.970223i
\(555\) 3.91030 + 3.13324i 0.165983 + 0.132998i
\(556\) −11.1729 19.3521i −0.473838 0.820711i
\(557\) −6.56454 + 11.3701i −0.278148 + 0.481767i −0.970925 0.239386i \(-0.923054\pi\)
0.692776 + 0.721153i \(0.256387\pi\)
\(558\) −1.82050 8.15031i −0.0770678 0.345030i
\(559\) −12.2111 −0.516476
\(560\) −0.0665372 + 2.64491i −0.00281171 + 0.111768i
\(561\) −11.7323 9.40081i −0.495338 0.396903i
\(562\) 15.3086 26.5153i 0.645754 1.11848i
\(563\) −15.1443 −0.638258 −0.319129 0.947711i \(-0.603390\pi\)
−0.319129 + 0.947711i \(0.603390\pi\)
\(564\) −9.18835 7.36242i −0.386900 0.310014i
\(565\) 8.29758 0.349082
\(566\) 28.7863 1.20998
\(567\) −14.0830 + 19.2007i −0.591431 + 0.806355i
\(568\) −16.3384 −0.685546
\(569\) 6.68629 0.280304 0.140152 0.990130i \(-0.455241\pi\)
0.140152 + 0.990130i \(0.455241\pi\)
\(570\) 5.89936 + 4.72702i 0.247097 + 0.197993i
\(571\) −35.4931 −1.48534 −0.742669 0.669658i \(-0.766441\pi\)
−0.742669 + 0.669658i \(0.766441\pi\)
\(572\) 4.25783 7.37477i 0.178029 0.308355i
\(573\) −3.37012 2.70040i −0.140789 0.112811i
\(574\) −18.3843 11.2399i −0.767344 0.469144i
\(575\) 1.91582 0.0798952
\(576\) 0.653981 + 2.92785i 0.0272492 + 0.121994i
\(577\) −9.11156 + 15.7817i −0.379319 + 0.657000i −0.990963 0.134133i \(-0.957175\pi\)
0.611644 + 0.791133i \(0.290508\pi\)
\(578\) 1.39548 + 2.41705i 0.0580445 + 0.100536i
\(579\) −25.8979 20.7514i −1.07628 0.862397i
\(580\) 0.725310 + 1.25627i 0.0301169 + 0.0521640i
\(581\) 0.198224 7.87959i 0.00822373 0.326900i
\(582\) 19.9811 7.78854i 0.828243 0.322845i
\(583\) 12.0095 0.497385
\(584\) −7.69829 + 13.3338i −0.318558 + 0.551758i
\(585\) −2.85431 12.7787i −0.118011 0.528333i
\(586\) 0.549142 + 0.951142i 0.0226849 + 0.0392913i
\(587\) 8.24544 14.2815i 0.340326 0.589461i −0.644167 0.764884i \(-0.722796\pi\)
0.984493 + 0.175423i \(0.0561294\pi\)
\(588\) 11.5036 3.82975i 0.474401 0.157936i
\(589\) 6.07480 + 10.5219i 0.250308 + 0.433546i
\(590\) −4.05318 + 7.02031i −0.166867 + 0.289022i
\(591\) 17.0905 + 13.6942i 0.703008 + 0.563304i
\(592\) −1.44648 2.50538i −0.0594500 0.102970i
\(593\) −5.75349 9.96534i −0.236268 0.409227i 0.723373 0.690458i \(-0.242591\pi\)
−0.959640 + 0.281230i \(0.909258\pi\)
\(594\) −10.1149 + 0.687229i −0.415021 + 0.0281974i
\(595\) 10.0420 + 6.13957i 0.411683 + 0.251698i
\(596\) 3.72142 6.44569i 0.152435 0.264026i
\(597\) 32.4105 12.6335i 1.32647 0.517053i
\(598\) 8.36163 0.341933
\(599\) 30.2105 1.23437 0.617184 0.786819i \(-0.288274\pi\)
0.617184 + 0.786819i \(0.288274\pi\)
\(600\) −0.262123 + 1.71210i −0.0107011 + 0.0698963i
\(601\) −6.52349 + 11.2990i −0.266099 + 0.460896i −0.967851 0.251525i \(-0.919068\pi\)
0.701752 + 0.712421i \(0.252401\pi\)
\(602\) 0.186159 7.39999i 0.00758728 0.301601i
\(603\) −7.24554 32.4380i −0.295061 1.32098i
\(604\) −3.31670 5.74470i −0.134955 0.233748i
\(605\) 3.59659 + 6.22948i 0.146222 + 0.253264i
\(606\) −1.51425 + 9.89060i −0.0615122 + 0.401778i
\(607\) −18.2681 + 31.6412i −0.741478 + 1.28428i 0.210345 + 0.977627i \(0.432541\pi\)
−0.951822 + 0.306650i \(0.900792\pi\)
\(608\) −2.18226 3.77979i −0.0885024 0.153291i
\(609\) 4.28590 5.08148i 0.173673 0.205912i
\(610\) 0.261672 0.453230i 0.0105948 0.0183507i
\(611\) −14.8346 25.6943i −0.600144 1.03948i
\(612\) 12.7348 + 3.99298i 0.514773 + 0.161407i
\(613\) 5.27920 9.14385i 0.213225 0.369317i −0.739497 0.673160i \(-0.764937\pi\)
0.952722 + 0.303843i \(0.0982699\pi\)
\(614\) 24.2439 0.978405
\(615\) −11.0084 8.82081i −0.443903 0.355690i
\(616\) 4.40422 + 2.69268i 0.177451 + 0.108491i
\(617\) −6.87172 11.9022i −0.276645 0.479163i 0.693904 0.720068i \(-0.255889\pi\)
−0.970549 + 0.240905i \(0.922556\pi\)
\(618\) −21.6312 + 8.43174i −0.870134 + 0.339174i
\(619\) −18.5457 32.1221i −0.745415 1.29110i −0.950001 0.312247i \(-0.898918\pi\)
0.204586 0.978849i \(-0.434415\pi\)
\(620\) −1.39186 + 2.41077i −0.0558984 + 0.0968188i
\(621\) −5.55039 8.26395i −0.222729 0.331621i
\(622\) −32.9797 −1.32236
\(623\) 20.8947 + 12.7747i 0.837127 + 0.511809i
\(624\) −1.14404 + 7.47251i −0.0457983 + 0.299140i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −22.7978 −0.911182
\(627\) 13.7424 5.35673i 0.548820 0.213927i
\(628\) 10.0020 0.399122
\(629\) −12.8699 −0.513157
\(630\) 7.78743 1.53491i 0.310259 0.0611524i
\(631\) −5.65943 −0.225298 −0.112649 0.993635i \(-0.535934\pi\)
−0.112649 + 0.993635i \(0.535934\pi\)
\(632\) −7.55094 −0.300360
\(633\) 0.517088 3.37745i 0.0205524 0.134242i
\(634\) −16.1846 −0.642771
\(635\) 8.52655 14.7684i 0.338366 0.586067i
\(636\) −9.93325 + 3.87193i −0.393879 + 0.153532i
\(637\) 30.5130 + 1.53618i 1.20897 + 0.0608658i
\(638\) 2.83032 0.112053
\(639\) 10.6850 + 47.8365i 0.422693 + 1.89238i
\(640\) 0.500000 0.866025i 0.0197642 0.0342327i
\(641\) −19.9524 34.5585i −0.788071 1.36498i −0.927147 0.374698i \(-0.877747\pi\)
0.139076 0.990282i \(-0.455587\pi\)
\(642\) 0.0751289 0.490718i 0.00296510 0.0193671i
\(643\) 5.44186 + 9.42557i 0.214606 + 0.371708i 0.953151 0.302496i \(-0.0978200\pi\)
−0.738545 + 0.674205i \(0.764487\pi\)
\(644\) −0.127473 + 5.06718i −0.00502315 + 0.199675i
\(645\) 0.733372 4.79015i 0.0288765 0.188612i
\(646\) −19.4165 −0.763931
\(647\) −18.1896 + 31.5053i −0.715108 + 1.23860i 0.247810 + 0.968809i \(0.420289\pi\)
−0.962918 + 0.269794i \(0.913044\pi\)
\(648\) 8.14462 3.82952i 0.319951 0.150438i
\(649\) 7.90818 + 13.6974i 0.310423 + 0.537669i
\(650\) −2.18226 + 3.77979i −0.0855953 + 0.148255i
\(651\) 12.5571 + 2.24705i 0.492153 + 0.0880686i
\(652\) −9.74187 16.8734i −0.381521 0.660814i
\(653\) −12.1389 + 21.0252i −0.475033 + 0.822781i −0.999591 0.0285935i \(-0.990897\pi\)
0.524558 + 0.851375i \(0.324230\pi\)
\(654\) 18.9058 7.36940i 0.739276 0.288166i
\(655\) 6.05853 + 10.4937i 0.236726 + 0.410022i
\(656\) 4.07219 + 7.05324i 0.158992 + 0.275383i
\(657\) 44.0740 + 13.8194i 1.71949 + 0.539146i
\(658\) 15.7970 8.59812i 0.615831 0.335189i
\(659\) −11.6790 + 20.2285i −0.454948 + 0.787992i −0.998685 0.0512629i \(-0.983675\pi\)
0.543738 + 0.839255i \(0.317009\pi\)
\(660\) 2.63724 + 2.11316i 0.102654 + 0.0822545i
\(661\) 38.7731 1.50810 0.754049 0.656819i \(-0.228098\pi\)
0.754049 + 0.656819i \(0.228098\pi\)
\(662\) −26.0659 −1.01308
\(663\) 26.2445 + 21.0291i 1.01925 + 0.816703i
\(664\) −1.48957 + 2.58002i −0.0578067 + 0.100124i
\(665\) −10.1424 + 5.52040i −0.393306 + 0.214072i
\(666\) −6.38940 + 5.87355i −0.247584 + 0.227595i
\(667\) 1.38956 + 2.40679i 0.0538041 + 0.0931914i
\(668\) −11.3506 19.6598i −0.439167 0.760660i
\(669\) −15.3783 + 5.99439i −0.594559 + 0.231756i
\(670\) −5.53957 + 9.59481i −0.214012 + 0.370680i
\(671\) −0.510551 0.884300i −0.0197096 0.0341380i
\(672\) −4.51092 0.807211i −0.174013 0.0311388i
\(673\) −1.74075 + 3.01507i −0.0671011 + 0.116222i −0.897624 0.440762i \(-0.854708\pi\)
0.830523 + 0.556984i \(0.188042\pi\)
\(674\) 4.71953 + 8.17447i 0.181790 + 0.314869i
\(675\) 5.18420 0.352225i 0.199540 0.0135572i
\(676\) −3.02453 + 5.23864i −0.116328 + 0.201486i
\(677\) 42.6713 1.63999 0.819996 0.572369i \(-0.193976\pi\)
0.819996 + 0.572369i \(0.193976\pi\)
\(678\) −2.17498 + 14.2063i −0.0835297 + 0.545589i
\(679\) −0.823832 + 32.7480i −0.0316158 + 1.25675i
\(680\) −2.22435 3.85269i −0.0853000 0.147744i
\(681\) −1.40209 + 9.15803i −0.0537284 + 0.350937i
\(682\) 2.71566 + 4.70367i 0.103988 + 0.180113i
\(683\) 18.2150 31.5493i 0.696977 1.20720i −0.272533 0.962147i \(-0.587861\pi\)
0.969510 0.245053i \(-0.0788054\pi\)
\(684\) −9.63950 + 8.86124i −0.368575 + 0.338818i
\(685\) 13.9200 0.531857
\(686\) −1.39610 + 18.4676i −0.0533035 + 0.705095i
\(687\) 9.48796 3.69836i 0.361988 0.141101i
\(688\) −1.39891 + 2.42298i −0.0533329 + 0.0923753i
\(689\) −26.8647 −1.02346
\(690\) −0.502180 + 3.28008i −0.0191176 + 0.124870i
\(691\) 42.1047 1.60174 0.800870 0.598838i \(-0.204371\pi\)
0.800870 + 0.598838i \(0.204371\pi\)
\(692\) −9.96320 −0.378744
\(693\) 5.00350 14.6559i 0.190067 0.556730i
\(694\) −25.3732 −0.963153
\(695\) 22.3459 0.847627
\(696\) −2.34099 + 0.912507i −0.0887350 + 0.0345885i
\(697\) 36.2319 1.37238
\(698\) 8.02651 13.9023i 0.303808 0.526210i
\(699\) −5.08664 + 33.2243i −0.192394 + 1.25666i
\(700\) −2.25729 1.38008i −0.0853177 0.0521621i
\(701\) −11.5020 −0.434425 −0.217212 0.976124i \(-0.569696\pi\)
−0.217212 + 0.976124i \(0.569696\pi\)
\(702\) 22.6266 1.53730i 0.853985 0.0580215i
\(703\) 6.31319 10.9348i 0.238107 0.412413i
\(704\) −0.975553 1.68971i −0.0367676 0.0636833i
\(705\) 10.9702 4.27614i 0.413162 0.161049i
\(706\) 11.8383 + 20.5045i 0.445540 + 0.771698i
\(707\) −13.0401 7.97255i −0.490424 0.299839i
\(708\) −10.9571 8.77963i −0.411791 0.329959i
\(709\) 21.5931 0.810945 0.405473 0.914107i \(-0.367107\pi\)
0.405473 + 0.914107i \(0.367107\pi\)
\(710\) 8.16922 14.1495i 0.306585 0.531022i
\(711\) 4.93817 + 22.1080i 0.185196 + 0.829116i
\(712\) −4.62826 8.01637i −0.173451 0.300426i
\(713\) −2.66655 + 4.61860i −0.0998630 + 0.172968i
\(714\) −13.1438 + 15.5837i −0.491895 + 0.583204i
\(715\) 4.25783 + 7.37477i 0.159234 + 0.275801i
\(716\) 2.42336 4.19738i 0.0905651 0.156863i
\(717\) −3.95502 + 25.8329i −0.147703 + 0.964748i
\(718\) 5.38333 + 9.32419i 0.200904 + 0.347976i
\(719\) −9.97207 17.2721i −0.371895 0.644142i 0.617962 0.786208i \(-0.287959\pi\)
−0.989857 + 0.142066i \(0.954625\pi\)
\(720\) −2.86258 0.897561i −0.106682 0.0334501i
\(721\) 0.891866 35.4525i 0.0332148 1.32032i
\(722\) 0.0245294 0.0424862i 0.000912890 0.00158117i
\(723\) 1.08941 7.11566i 0.0405155 0.264634i
\(724\) 1.87609 0.0697243
\(725\) −1.45062 −0.0538747
\(726\) −11.6082 + 4.52484i −0.430822 + 0.167933i
\(727\) 4.04784 7.01107i 0.150126 0.260026i −0.781148 0.624346i \(-0.785365\pi\)
0.931274 + 0.364320i \(0.118699\pi\)
\(728\) −9.85201 6.02339i −0.365140 0.223242i
\(729\) −16.5387 21.3418i −0.612544 0.790437i
\(730\) −7.69829 13.3338i −0.284927 0.493507i
\(731\) 6.22334 + 10.7791i 0.230178 + 0.398681i
\(732\) 0.707385 + 0.566812i 0.0261457 + 0.0209500i
\(733\) 12.0305 20.8374i 0.444357 0.769648i −0.553651 0.832749i \(-0.686766\pi\)
0.998007 + 0.0631009i \(0.0200990\pi\)
\(734\) 10.4353 + 18.0745i 0.385176 + 0.667144i
\(735\) −2.43515 + 11.8773i −0.0898218 + 0.438101i
\(736\) 0.957909 1.65915i 0.0353090 0.0611570i
\(737\) 10.8083 + 18.7205i 0.398128 + 0.689579i
\(738\) 17.9877 16.5354i 0.662136 0.608678i
\(739\) 21.2530 36.8113i 0.781805 1.35413i −0.149083 0.988825i \(-0.547632\pi\)
0.930889 0.365302i \(-0.119034\pi\)
\(740\) 2.89296 0.106347
\(741\) −30.7411 + 11.9827i −1.12930 + 0.440197i
\(742\) 0.409553 16.2801i 0.0150352 0.597661i
\(743\) −1.81072 3.13626i −0.0664289 0.115058i 0.830898 0.556425i \(-0.187827\pi\)
−0.897327 + 0.441366i \(0.854494\pi\)
\(744\) −3.76264 3.01492i −0.137945 0.110532i
\(745\) 3.72142 + 6.44569i 0.136342 + 0.236152i
\(746\) 1.51656 2.62677i 0.0555254 0.0961727i
\(747\) 8.52806 + 2.67397i 0.312025 + 0.0978354i
\(748\) −8.67990 −0.317368
\(749\) 0.646979 + 0.395555i 0.0236401 + 0.0144533i
\(750\) −1.35166 1.08306i −0.0493557 0.0395476i
\(751\) 8.43848 14.6159i 0.307925 0.533341i −0.669984 0.742376i \(-0.733699\pi\)
0.977908 + 0.209035i \(0.0670322\pi\)
\(752\) −6.79782 −0.247891
\(753\) −24.1500 19.3509i −0.880076 0.705185i
\(754\) −6.33127 −0.230571
\(755\) 6.63341 0.241414
\(756\) 0.586664 + 13.7352i 0.0213368 + 0.499545i
\(757\) −30.2150 −1.09818 −0.549092 0.835762i \(-0.685026\pi\)
−0.549092 + 0.835762i \(0.685026\pi\)
\(758\) 24.2090 0.879310
\(759\) 5.05247 + 4.04843i 0.183393 + 0.146949i
\(760\) 4.36452 0.158318
\(761\) −15.8907 + 27.5235i −0.576037 + 0.997725i 0.419891 + 0.907574i \(0.362068\pi\)
−0.995928 + 0.0901506i \(0.971265\pi\)
\(762\) 23.0500 + 18.4695i 0.835014 + 0.669078i
\(763\) −0.779497 + 30.9857i −0.0282197 + 1.12176i
\(764\) −2.49331 −0.0902050
\(765\) −9.82542 + 9.03216i −0.355239 + 0.326558i
\(766\) −14.8738 + 25.7623i −0.537414 + 0.930828i
\(767\) −17.6902 30.6403i −0.638756 1.10636i
\(768\) 1.35166 + 1.08306i 0.0487739 + 0.0390814i
\(769\) −22.8027 39.4954i −0.822286 1.42424i −0.903976 0.427583i \(-0.859365\pi\)
0.0816900 0.996658i \(-0.473968\pi\)
\(770\) −4.53404 + 2.46783i −0.163396 + 0.0889343i
\(771\) 35.9424 14.0102i 1.29444 0.504565i
\(772\)