Properties

Label 43.2.e.b.35.1
Level $43$
Weight $2$
Character 43.35
Analytic conductor $0.343$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{14})\)
Defining polynomial: \(x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.1
Root \(0.900969 - 0.433884i\) of defining polynomial
Character \(\chi\) \(=\) 43.35
Dual form 43.2.e.b.16.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 2.19064i) q^{2} +(0.346011 + 1.51597i) q^{3} +(-2.74698 - 1.32288i) q^{4} +(-1.24698 + 1.56366i) q^{5} +3.49396 q^{6} -4.24698 q^{7} +(-1.46950 + 1.84270i) q^{8} +(0.524459 - 0.252566i) q^{9} +O(q^{10})\) \(q+(0.500000 - 2.19064i) q^{2} +(0.346011 + 1.51597i) q^{3} +(-2.74698 - 1.32288i) q^{4} +(-1.24698 + 1.56366i) q^{5} +3.49396 q^{6} -4.24698 q^{7} +(-1.46950 + 1.84270i) q^{8} +(0.524459 - 0.252566i) q^{9} +(2.80194 + 3.51352i) q^{10} +(3.96950 - 1.91161i) q^{11} +(1.05496 - 4.62207i) q^{12} +(0.192021 - 0.240787i) q^{13} +(-2.12349 + 9.30362i) q^{14} +(-2.80194 - 1.34934i) q^{15} +(-0.500000 - 0.626980i) q^{16} +(2.80194 + 3.51352i) q^{17} +(-0.291053 - 1.27518i) q^{18} +(-5.12833 - 2.46968i) q^{19} +(5.49396 - 2.64575i) q^{20} +(-1.46950 - 6.43830i) q^{21} +(-2.20291 - 9.65156i) q^{22} +(-1.98039 + 0.953703i) q^{23} +(-3.30194 - 1.59013i) q^{24} +(0.222521 + 0.974928i) q^{25} +(-0.431468 - 0.541044i) q^{26} +(3.47285 + 4.35482i) q^{27} +(11.6664 + 5.61823i) q^{28} +(0.653989 - 2.86531i) q^{29} +(-4.35690 + 5.46337i) q^{30} +(-0.797093 + 3.49229i) q^{31} +(-5.87047 + 2.82707i) q^{32} +(4.27144 + 5.35621i) q^{33} +(9.09783 - 4.38129i) q^{34} +(5.29590 - 6.64084i) q^{35} -1.77479 q^{36} +4.87263 q^{37} +(-7.97434 + 9.99951i) q^{38} +(0.431468 + 0.207784i) q^{39} +(-1.04892 - 4.59561i) q^{40} +(0.896125 - 3.92618i) q^{41} -14.8388 q^{42} +(-6.46950 - 1.07031i) q^{43} -13.4330 q^{44} +(-0.259061 + 1.13502i) q^{45} +(1.09903 + 4.81517i) q^{46} +(0.900969 + 0.433884i) q^{47} +(0.777479 - 0.974928i) q^{48} +11.0368 q^{49} +2.24698 q^{50} +(-4.35690 + 5.46337i) q^{51} +(-0.846011 + 0.407417i) q^{52} +(-0.876510 - 1.09911i) q^{53} +(11.2763 - 5.43037i) q^{54} +(-1.96077 + 8.59070i) q^{55} +(6.24094 - 7.82589i) q^{56} +(1.96950 - 8.62895i) q^{57} +(-5.94989 - 2.86531i) q^{58} +(-2.03199 - 2.54804i) q^{59} +(5.91185 + 7.41323i) q^{60} +(-0.504844 - 2.21187i) q^{61} +(7.25182 + 3.49229i) q^{62} +(-2.22737 + 1.07264i) q^{63} +(2.90097 + 12.7100i) q^{64} +(0.137063 + 0.600514i) q^{65} +(13.8693 - 6.67909i) q^{66} +(-3.77144 - 1.81623i) q^{67} +(-3.04892 - 13.3582i) q^{68} +(-2.13102 - 2.67222i) q^{69} +(-11.8998 - 14.9218i) q^{70} +(7.93900 + 3.82322i) q^{71} +(-0.305290 + 1.33756i) q^{72} +(2.65399 - 3.32800i) q^{73} +(2.43631 - 10.6742i) q^{74} +(-1.40097 + 0.674671i) q^{75} +(10.8204 + 13.5683i) q^{76} +(-16.8584 + 8.11857i) q^{77} +(0.670915 - 0.841301i) q^{78} +3.71379 q^{79} +1.60388 q^{80} +(-4.31133 + 5.40624i) q^{81} +(-8.15279 - 3.92618i) q^{82} +(-2.26175 - 9.90937i) q^{83} +(-4.48039 + 19.6299i) q^{84} -8.98792 q^{85} +(-5.57942 + 13.6372i) q^{86} +4.57002 q^{87} +(-2.31067 + 10.1237i) q^{88} +(-1.11207 - 4.87231i) q^{89} +(2.35690 + 1.13502i) q^{90} +(-0.815511 + 1.02262i) q^{91} +6.70171 q^{92} -5.57002 q^{93} +(1.40097 - 1.75676i) q^{94} +(10.2567 - 4.93935i) q^{95} +(-6.31700 - 7.92127i) q^{96} +(-16.4400 + 7.91707i) q^{97} +(5.51842 - 24.1778i) q^{98} +(1.59903 - 2.00512i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q + 3q^{2} - 3q^{3} - 7q^{4} + 2q^{5} + 2q^{6} - 16q^{7} + q^{8} - 6q^{9} + O(q^{10}) \) \( 6q + 3q^{2} - 3q^{3} - 7q^{4} + 2q^{5} + 2q^{6} - 16q^{7} + q^{8} - 6q^{9} + 8q^{10} + 14q^{11} + 7q^{12} - 9q^{13} - 8q^{14} - 8q^{15} - 3q^{16} + 8q^{17} + 4q^{18} - 4q^{19} + 14q^{20} + q^{21} + q^{23} - 11q^{24} + q^{25} - 8q^{26} + 33q^{27} + 28q^{28} + 9q^{29} - 18q^{30} - 18q^{31} - 21q^{32} + 7q^{33} + 18q^{34} + 4q^{35} - 14q^{36} - 4q^{37} - 16q^{38} + 8q^{39} + 12q^{40} + 23q^{41} - 24q^{42} - 29q^{43} - 42q^{44} - 30q^{45} + 11q^{46} + q^{47} + 5q^{48} + 10q^{49} + 4q^{50} - 18q^{51} - 10q^{53} + 27q^{54} + 14q^{55} + 9q^{56} + 2q^{57} - 13q^{58} + 22q^{59} + 28q^{60} + 19q^{61} + 12q^{62} + 9q^{63} + 13q^{64} - 10q^{65} + 28q^{66} - 4q^{67} + 17q^{69} - 26q^{70} + 28q^{71} - 15q^{72} + 21q^{73} - 2q^{74} - 4q^{75} + 28q^{76} - 49q^{77} + 25q^{78} + 6q^{79} - 8q^{80} - 58q^{81} - 13q^{82} - 39q^{83} - 14q^{84} - 16q^{85} - 25q^{86} - 22q^{87} - 21q^{88} + 11q^{89} + 6q^{90} + 10q^{91} - 14q^{92} + 16q^{93} + 4q^{94} + 8q^{95} + 21q^{96} - 19q^{97} + 5q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 2.19064i 0.353553 1.54902i −0.415355 0.909659i \(-0.636343\pi\)
0.768908 0.639359i \(-0.220800\pi\)
\(3\) 0.346011 + 1.51597i 0.199769 + 0.875247i 0.971074 + 0.238780i \(0.0767476\pi\)
−0.771304 + 0.636467i \(0.780395\pi\)
\(4\) −2.74698 1.32288i −1.37349 0.661438i
\(5\) −1.24698 + 1.56366i −0.557666 + 0.699291i −0.978124 0.208021i \(-0.933298\pi\)
0.420458 + 0.907312i \(0.361869\pi\)
\(6\) 3.49396 1.42640
\(7\) −4.24698 −1.60521 −0.802604 0.596513i \(-0.796553\pi\)
−0.802604 + 0.596513i \(0.796553\pi\)
\(8\) −1.46950 + 1.84270i −0.519547 + 0.651491i
\(9\) 0.524459 0.252566i 0.174820 0.0841887i
\(10\) 2.80194 + 3.51352i 0.886051 + 1.11107i
\(11\) 3.96950 1.91161i 1.19685 0.576372i 0.274073 0.961709i \(-0.411629\pi\)
0.922776 + 0.385336i \(0.125915\pi\)
\(12\) 1.05496 4.62207i 0.304540 1.33428i
\(13\) 0.192021 0.240787i 0.0532572 0.0667824i −0.754490 0.656312i \(-0.772115\pi\)
0.807747 + 0.589530i \(0.200687\pi\)
\(14\) −2.12349 + 9.30362i −0.567527 + 2.48650i
\(15\) −2.80194 1.34934i −0.723457 0.348399i
\(16\) −0.500000 0.626980i −0.125000 0.156745i
\(17\) 2.80194 + 3.51352i 0.679570 + 0.852153i 0.995314 0.0966907i \(-0.0308258\pi\)
−0.315745 + 0.948844i \(0.602254\pi\)
\(18\) −0.291053 1.27518i −0.0686018 0.300564i
\(19\) −5.12833 2.46968i −1.17652 0.566582i −0.259625 0.965710i \(-0.583599\pi\)
−0.916896 + 0.399127i \(0.869313\pi\)
\(20\) 5.49396 2.64575i 1.22849 0.591608i
\(21\) −1.46950 6.43830i −0.320671 1.40495i
\(22\) −2.20291 9.65156i −0.469661 2.05772i
\(23\) −1.98039 + 0.953703i −0.412939 + 0.198861i −0.628807 0.777562i \(-0.716456\pi\)
0.215868 + 0.976423i \(0.430742\pi\)
\(24\) −3.30194 1.59013i −0.674005 0.324584i
\(25\) 0.222521 + 0.974928i 0.0445042 + 0.194986i
\(26\) −0.431468 0.541044i −0.0846179 0.106107i
\(27\) 3.47285 + 4.35482i 0.668351 + 0.838085i
\(28\) 11.6664 + 5.61823i 2.20474 + 1.06174i
\(29\) 0.653989 2.86531i 0.121443 0.532075i −0.877206 0.480114i \(-0.840595\pi\)
0.998649 0.0519619i \(-0.0165474\pi\)
\(30\) −4.35690 + 5.46337i −0.795457 + 0.997471i
\(31\) −0.797093 + 3.49229i −0.143162 + 0.627235i 0.851527 + 0.524311i \(0.175677\pi\)
−0.994689 + 0.102924i \(0.967180\pi\)
\(32\) −5.87047 + 2.82707i −1.03776 + 0.499760i
\(33\) 4.27144 + 5.35621i 0.743562 + 0.932397i
\(34\) 9.09783 4.38129i 1.56027 0.751384i
\(35\) 5.29590 6.64084i 0.895170 1.12251i
\(36\) −1.77479 −0.295798
\(37\) 4.87263 0.801055 0.400527 0.916285i \(-0.368827\pi\)
0.400527 + 0.916285i \(0.368827\pi\)
\(38\) −7.97434 + 9.99951i −1.29361 + 1.62214i
\(39\) 0.431468 + 0.207784i 0.0690902 + 0.0332721i
\(40\) −1.04892 4.59561i −0.165848 0.726629i
\(41\) 0.896125 3.92618i 0.139951 0.613166i −0.855493 0.517815i \(-0.826746\pi\)
0.995444 0.0953509i \(-0.0303973\pi\)
\(42\) −14.8388 −2.28967
\(43\) −6.46950 1.07031i −0.986590 0.163221i
\(44\) −13.4330 −2.02509
\(45\) −0.259061 + 1.13502i −0.0386186 + 0.169199i
\(46\) 1.09903 + 4.81517i 0.162043 + 0.709958i
\(47\) 0.900969 + 0.433884i 0.131420 + 0.0632884i 0.498438 0.866925i \(-0.333907\pi\)
−0.367018 + 0.930214i \(0.619621\pi\)
\(48\) 0.777479 0.974928i 0.112219 0.140719i
\(49\) 11.0368 1.57669
\(50\) 2.24698 0.317771
\(51\) −4.35690 + 5.46337i −0.610087 + 0.765025i
\(52\) −0.846011 + 0.407417i −0.117321 + 0.0564986i
\(53\) −0.876510 1.09911i −0.120398 0.150974i 0.717980 0.696064i \(-0.245067\pi\)
−0.838378 + 0.545090i \(0.816496\pi\)
\(54\) 11.2763 5.43037i 1.53451 0.738980i
\(55\) −1.96077 + 8.59070i −0.264390 + 1.15837i
\(56\) 6.24094 7.82589i 0.833981 1.04578i
\(57\) 1.96950 8.62895i 0.260867 1.14293i
\(58\) −5.94989 2.86531i −0.781258 0.376234i
\(59\) −2.03199 2.54804i −0.264543 0.331726i 0.631764 0.775161i \(-0.282331\pi\)
−0.896307 + 0.443435i \(0.853760\pi\)
\(60\) 5.91185 + 7.41323i 0.763217 + 0.957044i
\(61\) −0.504844 2.21187i −0.0646387 0.283201i 0.932271 0.361762i \(-0.117825\pi\)
−0.996909 + 0.0785611i \(0.974967\pi\)
\(62\) 7.25182 + 3.49229i 0.920983 + 0.443522i
\(63\) −2.22737 + 1.07264i −0.280622 + 0.135140i
\(64\) 2.90097 + 12.7100i 0.362621 + 1.58875i
\(65\) 0.137063 + 0.600514i 0.0170006 + 0.0744846i
\(66\) 13.8693 6.67909i 1.70719 0.822139i
\(67\) −3.77144 1.81623i −0.460755 0.221888i 0.189083 0.981961i \(-0.439449\pi\)
−0.649837 + 0.760074i \(0.725163\pi\)
\(68\) −3.04892 13.3582i −0.369736 1.61992i
\(69\) −2.13102 2.67222i −0.256545 0.321697i
\(70\) −11.8998 14.9218i −1.42229 1.78350i
\(71\) 7.93900 + 3.82322i 0.942186 + 0.453733i 0.840940 0.541128i \(-0.182003\pi\)
0.101246 + 0.994861i \(0.467717\pi\)
\(72\) −0.305290 + 1.33756i −0.0359788 + 0.157633i
\(73\) 2.65399 3.32800i 0.310626 0.389513i −0.601873 0.798592i \(-0.705579\pi\)
0.912499 + 0.409079i \(0.134150\pi\)
\(74\) 2.43631 10.6742i 0.283216 1.24085i
\(75\) −1.40097 + 0.674671i −0.161770 + 0.0779043i
\(76\) 10.8204 + 13.5683i 1.24118 + 1.55639i
\(77\) −16.8584 + 8.11857i −1.92119 + 0.925197i
\(78\) 0.670915 0.841301i 0.0759662 0.0952586i
\(79\) 3.71379 0.417834 0.208917 0.977933i \(-0.433006\pi\)
0.208917 + 0.977933i \(0.433006\pi\)
\(80\) 1.60388 0.179319
\(81\) −4.31133 + 5.40624i −0.479037 + 0.600693i
\(82\) −8.15279 3.92618i −0.900325 0.433574i
\(83\) −2.26175 9.90937i −0.248259 1.08769i −0.933274 0.359166i \(-0.883061\pi\)
0.685015 0.728529i \(-0.259796\pi\)
\(84\) −4.48039 + 19.6299i −0.488850 + 2.14179i
\(85\) −8.98792 −0.974877
\(86\) −5.57942 + 13.6372i −0.601644 + 1.47054i
\(87\) 4.57002 0.489958
\(88\) −2.31067 + 10.1237i −0.246318 + 1.07919i
\(89\) −1.11207 4.87231i −0.117879 0.516463i −0.999047 0.0436585i \(-0.986099\pi\)
0.881167 0.472805i \(-0.156758\pi\)
\(90\) 2.35690 + 1.13502i 0.248439 + 0.119642i
\(91\) −0.815511 + 1.02262i −0.0854888 + 0.107200i
\(92\) 6.70171 0.698702
\(93\) −5.57002 −0.577585
\(94\) 1.40097 1.75676i 0.144499 0.181196i
\(95\) 10.2567 4.93935i 1.05231 0.506767i
\(96\) −6.31700 7.92127i −0.644726 0.808461i
\(97\) −16.4400 + 7.91707i −1.66923 + 0.803856i −0.671184 + 0.741291i \(0.734214\pi\)
−0.998041 + 0.0625659i \(0.980072\pi\)
\(98\) 5.51842 24.1778i 0.557444 2.44232i
\(99\) 1.59903 2.00512i 0.160709 0.201522i
\(100\) 0.678448 2.97247i 0.0678448 0.297247i
\(101\) 8.30678 + 4.00034i 0.826556 + 0.398048i 0.798822 0.601567i \(-0.205457\pi\)
0.0277334 + 0.999615i \(0.491171\pi\)
\(102\) 9.78986 + 12.2761i 0.969340 + 1.21551i
\(103\) −0.725873 0.910216i −0.0715224 0.0896863i 0.744783 0.667307i \(-0.232553\pi\)
−0.816306 + 0.577620i \(0.803981\pi\)
\(104\) 0.161522 + 0.707674i 0.0158385 + 0.0693932i
\(105\) 11.8998 + 5.73063i 1.16130 + 0.559252i
\(106\) −2.84601 + 1.37057i −0.276429 + 0.133121i
\(107\) 3.48039 + 15.2486i 0.336462 + 1.47413i 0.806366 + 0.591417i \(0.201431\pi\)
−0.469904 + 0.882717i \(0.655712\pi\)
\(108\) −3.77897 16.5568i −0.363632 1.59317i
\(109\) −8.06249 + 3.88269i −0.772247 + 0.371894i −0.778142 0.628088i \(-0.783838\pi\)
0.00589553 + 0.999983i \(0.498123\pi\)
\(110\) 17.8388 + 8.59070i 1.70086 + 0.819091i
\(111\) 1.68598 + 7.38676i 0.160026 + 0.701121i
\(112\) 2.12349 + 2.66277i 0.200651 + 0.251608i
\(113\) 5.82640 + 7.30607i 0.548101 + 0.687297i 0.976308 0.216383i \(-0.0694261\pi\)
−0.428207 + 0.903681i \(0.640855\pi\)
\(114\) −17.9182 8.62895i −1.67819 0.808175i
\(115\) 0.978230 4.28590i 0.0912204 0.399663i
\(116\) −5.58695 + 7.00581i −0.518735 + 0.650473i
\(117\) 0.0398926 0.174781i 0.00368808 0.0161585i
\(118\) −6.59783 + 3.17735i −0.607380 + 0.292499i
\(119\) −11.8998 14.9218i −1.09085 1.36788i
\(120\) 6.60388 3.18026i 0.602849 0.290317i
\(121\) 5.24429 6.57613i 0.476754 0.597830i
\(122\) −5.09783 −0.461536
\(123\) 6.26205 0.564630
\(124\) 6.80947 8.53881i 0.611509 0.766807i
\(125\) −10.8116 5.20660i −0.967021 0.465693i
\(126\) 1.23609 + 5.41568i 0.110120 + 0.482467i
\(127\) 3.25786 14.2736i 0.289089 1.26658i −0.596690 0.802472i \(-0.703518\pi\)
0.885778 0.464108i \(-0.153625\pi\)
\(128\) 16.2620 1.43738
\(129\) −0.615957 10.1779i −0.0542320 0.896116i
\(130\) 1.38404 0.121389
\(131\) 2.33513 10.2309i 0.204021 0.893874i −0.764437 0.644698i \(-0.776983\pi\)
0.968458 0.249176i \(-0.0801597\pi\)
\(132\) −4.64795 20.3640i −0.404552 1.77246i
\(133\) 21.7799 + 10.4887i 1.88856 + 0.909482i
\(134\) −5.86443 + 7.35376i −0.506609 + 0.635268i
\(135\) −11.1400 −0.958783
\(136\) −10.5918 −0.908239
\(137\) −5.57942 + 6.99637i −0.476682 + 0.597740i −0.960793 0.277266i \(-0.910572\pi\)
0.484111 + 0.875006i \(0.339143\pi\)
\(138\) −6.91939 + 3.33220i −0.589017 + 0.283656i
\(139\) 5.24847 + 6.58138i 0.445170 + 0.558225i 0.952898 0.303292i \(-0.0980859\pi\)
−0.507728 + 0.861517i \(0.669514\pi\)
\(140\) −23.3327 + 11.2365i −1.97198 + 0.949654i
\(141\) −0.346011 + 1.51597i −0.0291394 + 0.127668i
\(142\) 12.3448 15.4799i 1.03595 1.29904i
\(143\) 0.301938 1.32288i 0.0252493 0.110624i
\(144\) −0.420583 0.202542i −0.0350486 0.0168785i
\(145\) 3.66487 + 4.59561i 0.304351 + 0.381644i
\(146\) −5.96346 7.47794i −0.493539 0.618879i
\(147\) 3.81886 + 16.7315i 0.314975 + 1.37999i
\(148\) −13.3850 6.44588i −1.10024 0.529848i
\(149\) 5.61745 2.70522i 0.460199 0.221620i −0.189396 0.981901i \(-0.560653\pi\)
0.649595 + 0.760281i \(0.274939\pi\)
\(150\) 0.777479 + 3.40636i 0.0634809 + 0.278128i
\(151\) 1.24698 + 5.46337i 0.101478 + 0.444603i 0.999984 + 0.00564254i \(0.00179609\pi\)
−0.898506 + 0.438961i \(0.855347\pi\)
\(152\) 12.0869 5.82077i 0.980381 0.472127i
\(153\) 2.35690 + 1.13502i 0.190544 + 0.0917610i
\(154\) 9.35570 + 40.9900i 0.753904 + 3.30307i
\(155\) −4.46681 5.60121i −0.358783 0.449900i
\(156\) −0.910362 1.14156i −0.0728873 0.0913978i
\(157\) −9.54892 4.59852i −0.762087 0.367002i 0.0121266 0.999926i \(-0.496140\pi\)
−0.774213 + 0.632925i \(0.781854\pi\)
\(158\) 1.85690 8.13559i 0.147727 0.647233i
\(159\) 1.36294 1.70907i 0.108088 0.135538i
\(160\) 2.89977 12.7047i 0.229247 1.00440i
\(161\) 8.41066 4.05036i 0.662853 0.319213i
\(162\) 9.68747 + 12.1477i 0.761120 + 0.954414i
\(163\) 21.0966 10.1596i 1.65242 0.795762i 0.653159 0.757221i \(-0.273443\pi\)
0.999257 0.0385411i \(-0.0122711\pi\)
\(164\) −7.65548 + 9.59967i −0.597793 + 0.749608i
\(165\) −13.7017 −1.06668
\(166\) −22.8388 −1.77263
\(167\) 6.18180 7.75173i 0.478362 0.599847i −0.482834 0.875712i \(-0.660393\pi\)
0.961197 + 0.275865i \(0.0889641\pi\)
\(168\) 14.0233 + 6.75325i 1.08192 + 0.521024i
\(169\) 2.87167 + 12.5816i 0.220897 + 0.967815i
\(170\) −4.49396 + 19.6893i −0.344671 + 1.51010i
\(171\) −3.31336 −0.253379
\(172\) 16.3557 + 11.4985i 1.24711 + 0.876750i
\(173\) −1.53319 −0.116566 −0.0582831 0.998300i \(-0.518563\pi\)
−0.0582831 + 0.998300i \(0.518563\pi\)
\(174\) 2.28501 10.0113i 0.173226 0.758954i
\(175\) −0.945042 4.14050i −0.0714385 0.312992i
\(176\) −3.18329 1.53299i −0.239950 0.115554i
\(177\) 3.15966 3.96209i 0.237495 0.297809i
\(178\) −11.2295 −0.841688
\(179\) −17.2228 −1.28729 −0.643647 0.765323i \(-0.722579\pi\)
−0.643647 + 0.765323i \(0.722579\pi\)
\(180\) 2.21313 2.77517i 0.164957 0.206849i
\(181\) −10.9330 + 5.26504i −0.812641 + 0.391347i −0.793576 0.608471i \(-0.791783\pi\)
−0.0190646 + 0.999818i \(0.506069\pi\)
\(182\) 1.83244 + 2.29780i 0.135829 + 0.170325i
\(183\) 3.17845 1.53066i 0.234958 0.113150i
\(184\) 1.15279 5.05072i 0.0849850 0.372344i
\(185\) −6.07606 + 7.61914i −0.446721 + 0.560171i
\(186\) −2.78501 + 12.2019i −0.204207 + 0.894689i
\(187\) 17.8388 + 8.59070i 1.30450 + 0.628214i
\(188\) −1.90097 2.38374i −0.138642 0.173852i
\(189\) −14.7491 18.4948i −1.07284 1.34530i
\(190\) −5.69202 24.9384i −0.412943 1.80922i
\(191\) 14.4351 + 6.95159i 1.04449 + 0.502999i 0.875802 0.482671i \(-0.160333\pi\)
0.168686 + 0.985670i \(0.446047\pi\)
\(192\) −18.2642 + 8.79558i −1.31811 + 0.634766i
\(193\) −5.29321 23.1911i −0.381013 1.66933i −0.694312 0.719674i \(-0.744291\pi\)
0.313298 0.949655i \(-0.398566\pi\)
\(194\) 9.12349 + 39.9726i 0.655028 + 2.86987i
\(195\) −0.862937 + 0.415568i −0.0617962 + 0.0297595i
\(196\) −30.3180 14.6004i −2.16557 1.04288i
\(197\) −3.52811 15.4576i −0.251367 1.10131i −0.930210 0.367028i \(-0.880375\pi\)
0.678843 0.734284i \(-0.262482\pi\)
\(198\) −3.59299 4.50547i −0.255343 0.320190i
\(199\) 5.46077 + 6.84759i 0.387104 + 0.485413i 0.936757 0.349980i \(-0.113812\pi\)
−0.549653 + 0.835393i \(0.685240\pi\)
\(200\) −2.12349 1.02262i −0.150153 0.0723101i
\(201\) 1.44839 6.34583i 0.102162 0.447600i
\(202\) 12.9167 16.1970i 0.908816 1.13962i
\(203\) −2.77748 + 12.1689i −0.194941 + 0.854092i
\(204\) 19.1957 9.24415i 1.34397 0.647220i
\(205\) 5.02177 + 6.29710i 0.350736 + 0.439809i
\(206\) −2.35690 + 1.13502i −0.164213 + 0.0790807i
\(207\) −0.797757 + 1.00036i −0.0554480 + 0.0695296i
\(208\) −0.246980 −0.0171250
\(209\) −25.0780 −1.73468
\(210\) 18.5036 23.2028i 1.27687 1.60115i
\(211\) −7.73609 3.72551i −0.532575 0.256474i 0.148213 0.988956i \(-0.452648\pi\)
−0.680787 + 0.732481i \(0.738362\pi\)
\(212\) 0.953771 + 4.17874i 0.0655053 + 0.286997i
\(213\) −3.04892 + 13.3582i −0.208908 + 0.915287i
\(214\) 35.1444 2.40242
\(215\) 9.74094 8.78146i 0.664327 0.598891i
\(216\) −13.1280 −0.893245
\(217\) 3.38524 14.8317i 0.229805 1.00684i
\(218\) 4.47434 + 19.6034i 0.303041 + 1.32771i
\(219\) 5.96346 + 2.87185i 0.402973 + 0.194062i
\(220\) 16.7506 21.0046i 1.12933 1.41613i
\(221\) 1.38404 0.0931008
\(222\) 17.0248 1.14263
\(223\) −4.74094 + 5.94495i −0.317477 + 0.398103i −0.914806 0.403893i \(-0.867657\pi\)
0.597330 + 0.801996i \(0.296228\pi\)
\(224\) 24.9318 12.0065i 1.66582 0.802218i
\(225\) 0.362937 + 0.455108i 0.0241958 + 0.0303405i
\(226\) 18.9182 9.11052i 1.25842 0.606023i
\(227\) −3.45204 + 15.1244i −0.229120 + 1.00384i 0.721239 + 0.692686i \(0.243573\pi\)
−0.950359 + 0.311155i \(0.899284\pi\)
\(228\) −16.8252 + 21.0981i −1.11428 + 1.39726i
\(229\) 5.25936 23.0427i 0.347548 1.52271i −0.435180 0.900344i \(-0.643315\pi\)
0.782728 0.622364i \(-0.213828\pi\)
\(230\) −8.89977 4.28590i −0.586834 0.282604i
\(231\) −18.1407 22.7477i −1.19357 1.49669i
\(232\) 4.31886 + 5.41568i 0.283547 + 0.355557i
\(233\) 4.82036 + 21.1194i 0.315792 + 1.38358i 0.844856 + 0.534993i \(0.179686\pi\)
−0.529064 + 0.848582i \(0.677457\pi\)
\(234\) −0.362937 0.174781i −0.0237259 0.0114258i
\(235\) −1.80194 + 0.867767i −0.117545 + 0.0566069i
\(236\) 2.21110 + 9.68748i 0.143931 + 0.630601i
\(237\) 1.28501 + 5.63000i 0.0834705 + 0.365708i
\(238\) −38.6383 + 18.6072i −2.50455 + 1.20613i
\(239\) 15.4976 + 7.46325i 1.00246 + 0.482758i 0.861772 0.507297i \(-0.169355\pi\)
0.140685 + 0.990054i \(0.455069\pi\)
\(240\) 0.554958 + 2.43143i 0.0358224 + 0.156948i
\(241\) 15.7676 + 19.7719i 1.01568 + 1.27362i 0.961418 + 0.275092i \(0.0887084\pi\)
0.0542596 + 0.998527i \(0.482720\pi\)
\(242\) −11.7838 14.7764i −0.757492 0.949865i
\(243\) 5.36778 + 2.58499i 0.344343 + 0.165827i
\(244\) −1.53923 + 6.74380i −0.0985390 + 0.431728i
\(245\) −13.7627 + 17.2579i −0.879267 + 1.10257i
\(246\) 3.13102 13.7179i 0.199627 0.874622i
\(247\) −1.57942 + 0.760607i −0.100496 + 0.0483963i
\(248\) −5.26391 6.60073i −0.334258 0.419147i
\(249\) 14.2397 6.85750i 0.902407 0.434576i
\(250\) −16.8116 + 21.0811i −1.06326 + 1.33329i
\(251\) −1.94139 −0.122540 −0.0612699 0.998121i \(-0.519515\pi\)
−0.0612699 + 0.998121i \(0.519515\pi\)
\(252\) 7.53750 0.474818
\(253\) −6.03803 + 7.57145i −0.379608 + 0.476013i
\(254\) −29.6395 14.2736i −1.85975 0.895608i
\(255\) −3.10992 13.6254i −0.194751 0.853258i
\(256\) 2.32908 10.2044i 0.145568 0.637774i
\(257\) 15.7168 0.980386 0.490193 0.871614i \(-0.336926\pi\)
0.490193 + 0.871614i \(0.336926\pi\)
\(258\) −22.6042 3.73962i −1.40727 0.232818i
\(259\) −20.6939 −1.28586
\(260\) 0.417895 1.83092i 0.0259167 0.113549i
\(261\) −0.380691 1.66791i −0.0235642 0.103241i
\(262\) −21.2446 10.2309i −1.31249 0.632064i
\(263\) −9.15093 + 11.4749i −0.564271 + 0.707573i −0.979341 0.202216i \(-0.935186\pi\)
0.415070 + 0.909789i \(0.363757\pi\)
\(264\) −16.1468 −0.993764
\(265\) 2.81163 0.172717
\(266\) 33.8669 42.4677i 2.07651 2.60386i
\(267\) 7.00149 3.37174i 0.428484 0.206347i
\(268\) 7.95742 + 9.97829i 0.486077 + 0.609521i
\(269\) 13.5831 6.54126i 0.828174 0.398828i 0.0287440 0.999587i \(-0.490849\pi\)
0.799430 + 0.600759i \(0.205135\pi\)
\(270\) −5.57002 + 24.4039i −0.338981 + 1.48517i
\(271\) −14.4242 + 18.0874i −0.876210 + 1.09873i 0.118184 + 0.992992i \(0.462293\pi\)
−0.994394 + 0.105740i \(0.966279\pi\)
\(272\) 0.801938 3.51352i 0.0486246 0.213038i
\(273\) −1.83244 0.882455i −0.110904 0.0534086i
\(274\) 12.5368 + 15.7207i 0.757378 + 0.949722i
\(275\) 2.74698 + 3.44460i 0.165649 + 0.207717i
\(276\) 2.31886 + 10.1596i 0.139579 + 0.611536i
\(277\) −18.7240 9.01701i −1.12502 0.541780i −0.223578 0.974686i \(-0.571774\pi\)
−0.901439 + 0.432906i \(0.857488\pi\)
\(278\) 17.0417 8.20684i 1.02209 0.492214i
\(279\) 0.463992 + 2.03288i 0.0277785 + 0.121706i
\(280\) 4.45473 + 19.5174i 0.266221 + 1.16639i
\(281\) −16.9710 + 8.17280i −1.01240 + 0.487548i −0.865130 0.501547i \(-0.832764\pi\)
−0.147274 + 0.989096i \(0.547050\pi\)
\(282\) 3.14795 + 1.51597i 0.187458 + 0.0902748i
\(283\) 2.90246 + 12.7165i 0.172533 + 0.755918i 0.984950 + 0.172841i \(0.0552945\pi\)
−0.812416 + 0.583078i \(0.801848\pi\)
\(284\) −16.7506 21.0046i −0.993967 1.24640i
\(285\) 11.0368 + 13.8398i 0.653766 + 0.819796i
\(286\) −2.74698 1.32288i −0.162432 0.0782233i
\(287\) −3.80582 + 16.6744i −0.224651 + 0.984259i
\(288\) −2.36480 + 2.96536i −0.139347 + 0.174736i
\(289\) −0.711103 + 3.11555i −0.0418296 + 0.183267i
\(290\) 11.8998 5.73063i 0.698779 0.336514i
\(291\) −17.6905 22.1831i −1.03703 1.30040i
\(292\) −11.6930 + 5.63104i −0.684280 + 0.329532i
\(293\) 16.5410 20.7418i 0.966336 1.21175i −0.0109749 0.999940i \(-0.503493\pi\)
0.977311 0.211808i \(-0.0679351\pi\)
\(294\) 38.5623 2.24900
\(295\) 6.51812 0.379500
\(296\) −7.16033 + 8.97876i −0.416185 + 0.521880i
\(297\) 22.1102 + 10.6477i 1.28296 + 0.617843i
\(298\) −3.11745 13.6584i −0.180589 0.791212i
\(299\) −0.150637 + 0.659983i −0.00871156 + 0.0381678i
\(300\) 4.74094 0.273718
\(301\) 27.4758 + 4.54558i 1.58368 + 0.262003i
\(302\) 12.5918 0.724576
\(303\) −3.19016 + 13.9770i −0.183270 + 0.802958i
\(304\) 1.01573 + 4.45020i 0.0582561 + 0.255237i
\(305\) 4.08815 + 1.96875i 0.234087 + 0.112730i
\(306\) 3.66487 4.59561i 0.209507 0.262713i
\(307\) −7.08277 −0.404235 −0.202117 0.979361i \(-0.564782\pi\)
−0.202117 + 0.979361i \(0.564782\pi\)
\(308\) 57.0495 3.25070
\(309\) 1.12870 1.41535i 0.0642096 0.0805164i
\(310\) −14.5036 + 6.98459i −0.823752 + 0.396698i
\(311\) −11.7947 14.7901i −0.668816 0.838669i 0.325455 0.945558i \(-0.394483\pi\)
−0.994271 + 0.106889i \(0.965911\pi\)
\(312\) −1.01693 + 0.489726i −0.0575721 + 0.0277253i
\(313\) 4.14071 18.1416i 0.234047 1.02543i −0.712199 0.701978i \(-0.752301\pi\)
0.946246 0.323449i \(-0.104842\pi\)
\(314\) −14.8482 + 18.6190i −0.837931 + 1.05073i
\(315\) 1.10023 4.82041i 0.0619908 0.271599i
\(316\) −10.2017 4.91288i −0.573891 0.276371i
\(317\) −8.92274 11.1888i −0.501151 0.628423i 0.465338 0.885133i \(-0.345933\pi\)
−0.966489 + 0.256710i \(0.917362\pi\)
\(318\) −3.06249 3.84024i −0.171736 0.215350i
\(319\) −2.88135 12.6240i −0.161325 0.706810i
\(320\) −23.4916 11.3129i −1.31322 0.632413i
\(321\) −21.9121 + 10.5523i −1.22302 + 0.588974i
\(322\) −4.66756 20.4499i −0.260113 1.13963i
\(323\) −5.69202 24.9384i −0.316713 1.38761i
\(324\) 18.9949 9.14747i 1.05527 0.508193i
\(325\) 0.277479 + 0.133627i 0.0153918 + 0.00741229i
\(326\) −11.7078 51.2950i −0.648432 2.84097i
\(327\) −8.67576 10.8791i −0.479771 0.601613i
\(328\) 5.91789 + 7.42081i 0.326761 + 0.409745i
\(329\) −3.82640 1.84270i −0.210956 0.101591i
\(330\) −6.85086 + 30.0156i −0.377127 + 1.65230i
\(331\) 12.1374 15.2198i 0.667130 0.836554i −0.326969 0.945035i \(-0.606027\pi\)
0.994099 + 0.108481i \(0.0345987\pi\)
\(332\) −6.89589 + 30.2129i −0.378461 + 1.65815i
\(333\) 2.55549 1.23066i 0.140040 0.0674397i
\(334\) −13.8904 17.4180i −0.760048 0.953070i
\(335\) 7.54288 3.63246i 0.412111 0.198462i
\(336\) −3.30194 + 4.14050i −0.180135 + 0.225883i
\(337\) −7.66786 −0.417695 −0.208847 0.977948i \(-0.566971\pi\)
−0.208847 + 0.977948i \(0.566971\pi\)
\(338\) 28.9976 1.57726
\(339\) −9.05980 + 11.3606i −0.492061 + 0.617025i
\(340\) 24.6896 + 11.8899i 1.33898 + 0.644820i
\(341\) 3.51184 + 15.3864i 0.190177 + 0.833220i
\(342\) −1.65668 + 7.25838i −0.0895829 + 0.392488i
\(343\) −17.1444 −0.925708
\(344\) 11.4792 10.3485i 0.618916 0.557954i
\(345\) 6.83579 0.368027
\(346\) −0.766594 + 3.35867i −0.0412123 + 0.180563i
\(347\) −1.22976 5.38792i −0.0660169 0.289239i 0.931133 0.364679i \(-0.118821\pi\)
−0.997150 + 0.0754397i \(0.975964\pi\)
\(348\) −12.5538 6.04557i −0.672952 0.324077i
\(349\) −1.60656 + 2.01457i −0.0859974 + 0.107837i −0.822969 0.568087i \(-0.807684\pi\)
0.736971 + 0.675924i \(0.236255\pi\)
\(350\) −9.54288 −0.510088
\(351\) 1.71545 0.0915638
\(352\) −17.8986 + 22.4441i −0.953997 + 1.19627i
\(353\) −21.6015 + 10.4027i −1.14973 + 0.553681i −0.908953 0.416899i \(-0.863117\pi\)
−0.240778 + 0.970580i \(0.577403\pi\)
\(354\) −7.09970 8.90274i −0.377345 0.473175i
\(355\) −15.8780 + 7.64644i −0.842717 + 0.405831i
\(356\) −3.39062 + 14.8553i −0.179702 + 0.787327i
\(357\) 18.5036 23.2028i 0.979317 1.22802i
\(358\) −8.61141 + 37.7290i −0.455127 + 1.99404i
\(359\) 2.45204 + 1.18084i 0.129414 + 0.0623224i 0.497470 0.867481i \(-0.334262\pi\)
−0.368056 + 0.929803i \(0.619977\pi\)
\(360\) −1.71081 2.14529i −0.0901675 0.113066i
\(361\) 8.35421 + 10.4758i 0.439695 + 0.551360i
\(362\) 6.06734 + 26.5827i 0.318892 + 1.39716i
\(363\) 11.7838 + 5.67479i 0.618490 + 0.297849i
\(364\) 3.59299 1.73029i 0.188324 0.0906920i
\(365\) 1.89440 + 8.29989i 0.0991572 + 0.434436i
\(366\) −1.76391 7.72818i −0.0922008 0.403958i
\(367\) 17.5260 8.44005i 0.914847 0.440567i 0.0836185 0.996498i \(-0.473352\pi\)
0.831229 + 0.555931i \(0.187638\pi\)
\(368\) 1.58815 + 0.764811i 0.0827878 + 0.0398685i
\(369\) −0.521639 2.28545i −0.0271554 0.118976i
\(370\) 13.6528 + 17.1201i 0.709775 + 0.890030i
\(371\) 3.72252 + 4.66789i 0.193264 + 0.242345i
\(372\) 15.3007 + 7.36845i 0.793306 + 0.382036i
\(373\) 3.98158 17.4445i 0.206159 0.903239i −0.760937 0.648826i \(-0.775260\pi\)
0.967095 0.254414i \(-0.0818825\pi\)
\(374\) 27.7385 34.7830i 1.43433 1.79859i
\(375\) 4.15213 18.1917i 0.214415 0.939414i
\(376\) −2.12349 + 1.02262i −0.109511 + 0.0527375i
\(377\) −0.564351 0.707674i −0.0290656 0.0364471i
\(378\) −47.8901 + 23.0627i −2.46320 + 1.18622i
\(379\) 3.01693 3.78311i 0.154969 0.194325i −0.698286 0.715819i \(-0.746054\pi\)
0.853255 + 0.521494i \(0.174625\pi\)
\(380\) −34.7090 −1.78053
\(381\) 22.7657 1.16632
\(382\) 22.4460 28.1464i 1.14844 1.44009i
\(383\) 3.89708 + 1.87674i 0.199132 + 0.0958968i 0.530792 0.847502i \(-0.321895\pi\)
−0.331660 + 0.943399i \(0.607609\pi\)
\(384\) 5.62684 + 24.6528i 0.287144 + 1.25806i
\(385\) 8.32736 36.4845i 0.424401 1.85942i
\(386\) −53.4499 −2.72053
\(387\) −3.66331 + 1.07264i −0.186216 + 0.0545255i
\(388\) 55.6335 2.82436
\(389\) −6.60872 + 28.9547i −0.335075 + 1.46806i 0.474088 + 0.880477i \(0.342778\pi\)
−0.809163 + 0.587584i \(0.800079\pi\)
\(390\) 0.478894 + 2.09817i 0.0242497 + 0.106245i
\(391\) −8.89977 4.28590i −0.450081 0.216748i
\(392\) −16.2186 + 20.3375i −0.819165 + 1.02720i
\(393\) 16.3177 0.823117
\(394\) −35.6262 −1.79482
\(395\) −4.63102 + 5.80712i −0.233012 + 0.292188i
\(396\) −7.04503 + 3.39271i −0.354026 + 0.170490i
\(397\) 5.17510 + 6.48936i 0.259731 + 0.325692i 0.894549 0.446969i \(-0.147497\pi\)
−0.634819 + 0.772661i \(0.718925\pi\)
\(398\) 17.7310 8.53881i 0.888775 0.428012i
\(399\) −8.36443 + 36.6470i −0.418745 + 1.83464i
\(400\) 0.500000 0.626980i 0.0250000 0.0313490i
\(401\) 0.208283 0.912549i 0.0104012 0.0455705i −0.969461 0.245245i \(-0.921131\pi\)
0.979862 + 0.199675i \(0.0639886\pi\)
\(402\) −13.1773 6.34583i −0.657222 0.316501i
\(403\) 0.687841 + 0.862525i 0.0342638 + 0.0429655i
\(404\) −17.5266 21.9777i −0.871982 1.09343i
\(405\) −3.07739 13.4829i −0.152917 0.669973i
\(406\) 25.2690 + 12.1689i 1.25408 + 0.603934i
\(407\) 19.3419 9.31456i 0.958742 0.461706i
\(408\) −3.66487 16.0569i −0.181438 0.794933i
\(409\) −0.761750 3.33744i −0.0376661 0.165026i 0.952597 0.304236i \(-0.0984010\pi\)
−0.990263 + 0.139210i \(0.955544\pi\)
\(410\) 16.3056 7.85236i 0.805275 0.387800i
\(411\) −12.5368 6.03742i −0.618397 0.297804i
\(412\) 0.789856 + 3.46059i 0.0389134 + 0.170491i
\(413\) 8.62983 + 10.8215i 0.424646 + 0.532489i
\(414\) 1.79254 + 2.24778i 0.0880988 + 0.110472i
\(415\) 18.3153 + 8.82017i 0.899061 + 0.432965i
\(416\) −0.446534 + 1.95639i −0.0218931 + 0.0959200i
\(417\) −8.16115 + 10.2338i −0.399653 + 0.501150i
\(418\) −12.5390 + 54.9369i −0.613302 + 2.68705i
\(419\) −2.83997 + 1.36766i −0.138742 + 0.0668144i −0.501967 0.864887i \(-0.667390\pi\)
0.363225 + 0.931701i \(0.381676\pi\)
\(420\) −25.1075 31.4838i −1.22512 1.53625i
\(421\) −29.2494 + 14.0858i −1.42553 + 0.686499i −0.978161 0.207850i \(-0.933353\pi\)
−0.447369 + 0.894349i \(0.647639\pi\)
\(422\) −12.0293 + 15.0843i −0.585577 + 0.734291i
\(423\) 0.582105 0.0283029
\(424\) 3.31336 0.160911
\(425\) −2.80194 + 3.51352i −0.135914 + 0.170431i
\(426\) 27.7385 + 13.3582i 1.34394 + 0.647206i
\(427\) 2.14406 + 9.39376i 0.103759 + 0.454596i
\(428\) 10.6114 46.4916i 0.512922 2.24726i
\(429\) 2.10992 0.101868
\(430\) −14.3666 25.7297i −0.692818 1.24079i
\(431\) 35.9148 1.72996 0.864978 0.501809i \(-0.167332\pi\)
0.864978 + 0.501809i \(0.167332\pi\)
\(432\) 0.993959 4.35482i 0.0478219 0.209521i
\(433\) −5.91119 25.8986i −0.284074 1.24461i −0.892518 0.451012i \(-0.851063\pi\)
0.608444 0.793596i \(-0.291794\pi\)
\(434\) −30.7983 14.8317i −1.47837 0.711945i
\(435\) −5.69873 + 7.14598i −0.273233 + 0.342623i
\(436\) 27.2838 1.30666
\(437\) 12.5114 0.598502
\(438\) 9.27293 11.6279i 0.443078 0.555602i
\(439\) −36.0393 + 17.3556i −1.72006 + 0.828338i −0.730728 + 0.682669i \(0.760819\pi\)
−0.989333 + 0.145669i \(0.953467\pi\)
\(440\) −12.9487 16.2371i −0.617305 0.774075i
\(441\) 5.78836 2.78753i 0.275636 0.132739i
\(442\) 0.692021 3.03194i 0.0329161 0.144215i
\(443\) 9.85152 12.3534i 0.468060 0.586928i −0.490635 0.871365i \(-0.663235\pi\)
0.958695 + 0.284437i \(0.0918066\pi\)
\(444\) 5.14042 22.5216i 0.243953 1.06883i
\(445\) 9.00538 + 4.33676i 0.426896 + 0.205582i
\(446\) 10.6528 + 13.3582i 0.504424 + 0.632528i
\(447\) 6.04474 + 7.57986i 0.285906 + 0.358515i
\(448\) −12.3204 53.9790i −0.582082 2.55027i
\(449\) 11.7310 + 5.64936i 0.553621 + 0.266610i 0.689709 0.724087i \(-0.257739\pi\)
−0.136088 + 0.990697i \(0.543453\pi\)
\(450\) 1.17845 0.567511i 0.0555526 0.0267527i
\(451\) −3.94816 17.2980i −0.185911 0.814531i
\(452\) −6.33997 27.7772i −0.298207 1.30653i
\(453\) −7.85086 + 3.78077i −0.368865 + 0.177636i
\(454\) 31.4061 + 15.1244i 1.47396 + 0.709823i
\(455\) −0.582105 2.55037i −0.0272895 0.119563i
\(456\) 13.0063 + 16.3094i 0.609078 + 0.763759i
\(457\) −15.3787 19.2842i −0.719384 0.902079i 0.278919 0.960315i \(-0.410024\pi\)
−0.998303 + 0.0582360i \(0.981452\pi\)
\(458\) −47.8488 23.0427i −2.23583 1.07672i
\(459\) −5.57002 + 24.4039i −0.259986 + 1.13908i
\(460\) −8.35690 + 10.4792i −0.389642 + 0.488596i
\(461\) −2.26218 + 9.91124i −0.105360 + 0.461613i 0.894533 + 0.447002i \(0.147508\pi\)
−0.999893 + 0.0146111i \(0.995349\pi\)
\(462\) −58.9025 + 28.3660i −2.74039 + 1.31970i
\(463\) 9.08426 + 11.3913i 0.422181 + 0.529399i 0.946750 0.321969i \(-0.104345\pi\)
−0.524569 + 0.851368i \(0.675773\pi\)
\(464\) −2.12349 + 1.02262i −0.0985805 + 0.0474739i
\(465\) 6.94571 8.70964i 0.322099 0.403900i
\(466\) 48.6752 2.25483
\(467\) 9.56704 0.442710 0.221355 0.975193i \(-0.428952\pi\)
0.221355 + 0.975193i \(0.428952\pi\)
\(468\) −0.340798 + 0.427347i −0.0157534 + 0.0197541i
\(469\) 16.0172 + 7.71349i 0.739607 + 0.356176i
\(470\) 1.00000 + 4.38129i 0.0461266 + 0.202094i
\(471\) 3.66719 16.0670i 0.168975 0.740330i
\(472\) 7.68127 0.353559
\(473\) −27.7267 + 8.11857i −1.27488 + 0.373292i
\(474\) 12.9758 0.596000
\(475\) 1.26659 5.54931i 0.0581153 0.254620i
\(476\) 12.9487 + 56.7319i 0.593502 + 2.60030i
\(477\) −0.737291 0.355061i −0.0337582 0.0162571i
\(478\) 24.0981 30.2181i 1.10222 1.38214i
\(479\) −24.7851 −1.13246 −0.566229 0.824248i \(-0.691598\pi\)
−0.566229 + 0.824248i \(0.691598\pi\)
\(480\) 20.2634 0.924892
\(481\) 0.935649 1.17327i 0.0426619 0.0534963i
\(482\) 51.1969 24.6551i 2.33196 1.12301i
\(483\) 9.05041 + 11.3489i 0.411808 + 0.516391i
\(484\) −23.1054 + 11.1270i −1.05024 + 0.505771i
\(485\) 8.12067 35.5790i 0.368741 1.61556i
\(486\) 8.34667 10.4664i 0.378613 0.474766i
\(487\) −5.76487 + 25.2575i −0.261231 + 1.14453i 0.658687 + 0.752417i \(0.271112\pi\)
−0.919918 + 0.392111i \(0.871745\pi\)
\(488\) 4.81767 + 2.32007i 0.218086 + 0.105024i
\(489\) 22.7013 + 28.4666i 1.02659 + 1.28730i
\(490\) 30.9245 + 38.7781i 1.39703 + 1.75182i
\(491\) −5.49731 24.0853i −0.248090 1.08695i −0.933438 0.358738i \(-0.883207\pi\)
0.685348 0.728216i \(-0.259650\pi\)
\(492\) −17.2017 8.28391i −0.775513 0.373467i
\(493\) 11.8998 5.73063i 0.535939 0.258095i
\(494\) 0.876510 + 3.84024i 0.0394361 + 0.172781i
\(495\) 1.14138 + 5.00069i 0.0513010 + 0.224764i
\(496\) 2.58815 1.24639i 0.116211 0.0559644i
\(497\) −33.7168 16.2371i −1.51240 0.728335i
\(498\) −7.90246 34.6229i −0.354118 1.55149i
\(499\) −17.5082 21.9546i −0.783775 0.982822i −0.999979 0.00647407i \(-0.997939\pi\)
0.216205 0.976348i \(-0.430632\pi\)
\(500\) 22.8116 + 28.6049i 1.02017 + 1.27925i
\(501\) 13.8904 + 6.68925i 0.620576 + 0.298854i
\(502\) −0.970697 + 4.25290i −0.0433243 + 0.189816i
\(503\) −18.0262 + 22.6042i −0.803751 + 1.00787i 0.195878 + 0.980628i \(0.437244\pi\)
−0.999629 + 0.0272431i \(0.991327\pi\)
\(504\) 1.29656 5.68060i 0.0577534 0.253034i
\(505\) −16.6136 + 8.00067i −0.739294 + 0.356025i
\(506\) 13.5673 + 17.0129i 0.603142 + 0.756316i
\(507\) −18.0797 + 8.70673i −0.802948 + 0.386679i
\(508\) −27.8315 + 34.8996i −1.23482 + 1.54842i
\(509\) 3.65040 0.161801 0.0809006 0.996722i \(-0.474220\pi\)
0.0809006 + 0.996722i \(0.474220\pi\)
\(510\) −31.4034 −1.39057
\(511\) −11.2714 + 14.1339i −0.498619 + 0.625249i
\(512\) 8.11356 + 3.90729i 0.358572 + 0.172679i
\(513\) −7.05496 30.9098i −0.311484 1.36470i
\(514\) 7.85839 34.4298i 0.346619 1.51864i
\(515\) 2.32842 0.102602
\(516\) −11.7721 + 28.7734i −0.518238 + 1.26668i
\(517\) 4.40581 0.193767
\(518\) −10.3470 + 45.3330i −0.454620 + 1.99182i
\(519\) −0.530499 2.32427i −0.0232863 0.102024i
\(520\) −1.30798 0.629889i −0.0573587 0.0276225i
\(521\) −8.49545 + 10.6530i −0.372192 + 0.466715i −0.932290 0.361712i \(-0.882192\pi\)
0.560097 + 0.828427i \(0.310764\pi\)
\(522\) −3.84415 −0.168254
\(523\) 4.45904 0.194980 0.0974902 0.995236i \(-0.468919\pi\)
0.0974902 + 0.995236i \(0.468919\pi\)
\(524\) −19.9487 + 25.0149i −0.871463 + 1.09278i
\(525\) 5.94989 2.86531i 0.259674 0.125053i
\(526\) 20.5620 + 25.7839i 0.896544 + 1.12423i
\(527\) −14.5036 + 6.98459i −0.631789 + 0.304253i
\(528\) 1.22252 5.35621i 0.0532034 0.233099i
\(529\) −11.3279 + 14.2047i −0.492517 + 0.617597i
\(530\) 1.40581 6.15927i 0.0610646 0.267542i
\(531\) −1.70924 0.823128i −0.0741748 0.0357207i
\(532\) −45.9538 57.6243i −1.99235 2.49833i
\(533\) −0.773299 0.969686i −0.0334953 0.0420018i
\(534\) −3.88553 17.0236i −0.168144 0.736685i
\(535\) −28.1836 13.5725i −1.21848 0.586790i
\(536\) 8.88889 4.28066i 0.383941 0.184896i
\(537\) −5.95928 26.1093i −0.257162 1.12670i
\(538\) −7.53803 33.0263i −0.324988 1.42386i
\(539\) 43.8107 21.0981i 1.88706 0.908761i
\(540\) 30.6015 + 14.7369i 1.31688 + 0.634175i
\(541\) 3.74482 + 16.4071i 0.161003 + 0.705398i 0.989395 + 0.145250i \(0.0463987\pi\)
−0.828392 + 0.560148i \(0.810744\pi\)
\(542\) 32.4110 + 40.6420i 1.39217 + 1.74573i
\(543\) −11.7646 14.7523i −0.504866 0.633082i
\(544\) −26.3817 12.7047i −1.13110 0.544711i
\(545\) 3.98254 17.4487i 0.170593 0.747418i
\(546\) −2.84936 + 3.57299i −0.121941 + 0.152910i
\(547\) 1.76606 7.73762i 0.0755113 0.330837i −0.923036 0.384713i \(-0.874300\pi\)
0.998548 + 0.0538761i \(0.0171576\pi\)
\(548\) 24.5819 11.8380i 1.05009 0.505694i
\(549\) −0.823413 1.03253i −0.0351424 0.0440672i
\(550\) 8.91939 4.29535i 0.380324 0.183154i
\(551\) −10.4303 + 13.0791i −0.444345 + 0.557190i
\(552\) 8.05562 0.342870
\(553\) −15.7724 −0.670711
\(554\) −29.1151 + 36.5091i −1.23698 + 1.55112i
\(555\) −13.6528 6.57484i −0.579529 0.279086i
\(556\) −5.71110 25.0220i −0.242205 1.06117i
\(557\) 3.22318 14.1217i 0.136571 0.598355i −0.859603 0.510962i \(-0.829289\pi\)
0.996174 0.0873932i \(-0.0278537\pi\)
\(558\) 4.68532 0.198345
\(559\) −1.50000 + 1.35225i −0.0634432 + 0.0571941i
\(560\) −6.81163 −0.287844
\(561\) −6.85086 + 30.0156i −0.289243 + 1.26726i
\(562\) 9.41819 + 41.2638i 0.397282 + 1.74061i
\(563\) 6.05884 + 2.91779i 0.255350 + 0.122970i 0.557180 0.830392i \(-0.311883\pi\)
−0.301830 + 0.953362i \(0.597598\pi\)
\(564\) 2.95593 3.70662i 0.124467 0.156077i
\(565\) −18.6896 −0.786279
\(566\) 29.3086 1.23193
\(567\) 18.3101 22.9602i 0.768953 0.964237i
\(568\) −18.7114 + 9.01093i −0.785113 + 0.378090i
\(569\) −26.3357 33.0239i −1.10405 1.38444i −0.915474 0.402377i \(-0.868184\pi\)
−0.188577 0.982058i \(-0.560387\pi\)
\(570\) 35.8364 17.2579i 1.50102 0.722854i
\(571\) −3.62551 + 15.8844i −0.151723 + 0.664742i 0.840661 + 0.541561i \(0.182167\pi\)
−0.992384 + 0.123181i \(0.960691\pi\)
\(572\) −2.57942 + 3.23449i −0.107851 + 0.135241i
\(573\) −5.54370 + 24.2886i −0.231592 + 1.01467i
\(574\) 34.6247 + 16.6744i 1.44521 + 0.695976i
\(575\) −1.37047 1.71851i −0.0571525 0.0716670i
\(576\) 4.73155 + 5.93317i 0.197148 + 0.247215i
\(577\) 9.89858 + 43.3685i 0.412083 + 1.80545i 0.574238 + 0.818689i \(0.305299\pi\)
−0.162155 + 0.986765i \(0.551844\pi\)
\(578\) 6.46950 + 3.11555i 0.269096 + 0.129590i
\(579\) 33.3255 16.0487i 1.38496 0.666962i
\(580\) −3.98792 17.4722i −0.165589 0.725494i
\(581\) 9.60560 + 42.0849i 0.398508 + 1.74598i
\(582\) −57.4406 + 27.6619i −2.38099 + 1.14662i
\(583\) −5.58038 2.68737i −0.231116 0.111299i
\(584\) 2.23245 + 9.78099i 0.0923793 + 0.404740i
\(585\) 0.223553 + 0.280327i 0.00924280 + 0.0115901i
\(586\) −37.1673 46.6064i −1.53537 1.92529i
\(587\) 27.4034 + 13.1968i 1.13106 + 0.544690i 0.903292 0.429026i \(-0.141143\pi\)
0.227768 + 0.973715i \(0.426857\pi\)
\(588\) 11.6434 51.0131i 0.480166 2.10374i
\(589\) 12.7126 15.9411i 0.523813 0.656841i
\(590\) 3.25906 14.2789i 0.134173 0.587852i
\(591\) 22.2126 10.6970i 0.913704 0.440017i
\(592\) −2.43631 3.05504i −0.100132 0.125561i
\(593\) 2.05400 0.989154i 0.0843476 0.0406197i −0.391234 0.920291i \(-0.627952\pi\)
0.475582 + 0.879671i \(0.342238\pi\)
\(594\) 34.3805 43.1117i 1.41065 1.76890i
\(595\) 38.1715 1.56488
\(596\) −19.0097 −0.778667
\(597\) −8.49127 + 10.6477i −0.347525 + 0.435782i
\(598\) 1.37047 + 0.659983i 0.0560427 + 0.0269887i
\(599\) 4.87853 + 21.3743i 0.199332 + 0.873328i 0.971336 + 0.237711i \(0.0763972\pi\)
−0.772004 + 0.635617i \(0.780746\pi\)
\(600\) 0.815511 3.57299i 0.0332931 0.145867i
\(601\) 8.27173 0.337411 0.168706 0.985666i \(-0.446041\pi\)
0.168706 + 0.985666i \(0.446041\pi\)
\(602\) 23.6957 57.9170i 0.965763 2.36052i
\(603\) −2.43668 −0.0992293
\(604\) 3.80194 16.6574i 0.154699 0.677779i
\(605\) 3.74333 + 16.4006i 0.152188 + 0.666780i
\(606\) 29.0236 + 13.9770i 1.17900 + 0.567777i
\(607\) 7.42543 9.31119i 0.301389 0.377930i −0.607958 0.793970i \(-0.708011\pi\)
0.909346 + 0.416040i \(0.136582\pi\)
\(608\) 37.0877 1.50410
\(609\) −19.4088 −0.786484
\(610\) 6.35690 7.97130i 0.257383 0.322748i
\(611\) 0.277479 0.133627i 0.0112256 0.00540596i
\(612\) −4.97285 6.23576i −0.201016 0.252066i
\(613\) 1.70948 0.823242i 0.0690452 0.0332504i −0.399042 0.916932i \(-0.630657\pi\)
0.468088 + 0.883682i \(0.344943\pi\)
\(614\) −3.54138 + 15.5158i −0.142919 + 0.626168i
\(615\) −7.80864 + 9.79173i −0.314875 + 0.394841i
\(616\) 9.81336 42.9951i 0.395391 1.73232i
\(617\) −43.7323 21.0604i −1.76059 0.847858i −0.972706 0.232040i \(-0.925460\pi\)
−0.787889 0.615818i \(-0.788826\pi\)
\(618\) −2.53617 3.18026i −0.102020 0.127929i
\(619\) 10.0420 + 12.5923i 0.403624 + 0.506129i 0.941554 0.336861i \(-0.109365\pi\)
−0.537930 + 0.842989i \(0.680794\pi\)
\(620\) 4.86054 + 21.2954i 0.195204 + 0.855245i
\(621\) −11.0308 5.31215i −0.442651 0.213169i
\(622\) −38.2972 + 18.4429i −1.53558 + 0.739494i
\(623\) 4.72295 + 20.6926i 0.189221 + 0.829031i
\(624\) −0.0854576 0.374414i −0.00342104 0.0149886i
\(625\) 17.1184 8.24379i 0.684736 0.329752i
\(626\) −37.6715 18.1416i −1.50566 0.725086i
\(627\) −8.67725 38.0175i −0.346536 1.51827i
\(628\) 20.1474 + 25.2641i 0.803969 + 1.00815i
\(629\) 13.6528 + 17.1201i 0.544372 + 0.682622i
\(630\) −10.0097 4.82041i −0.398796 0.192050i
\(631\) 6.84362 29.9838i 0.272440 1.19364i −0.634683 0.772773i \(-0.718869\pi\)
0.907123 0.420866i \(-0.138274\pi\)
\(632\) −5.45742 + 6.84339i −0.217084 + 0.272215i
\(633\) 2.97099 13.0168i 0.118086 0.517370i
\(634\) −28.9720 + 13.9522i −1.15062 + 0.554111i
\(635\) 18.2567 + 22.8931i 0.724494 + 0.908486i
\(636\) −6.00484 + 2.89178i −0.238108 + 0.114667i
\(637\) 2.11931 2.65753i 0.0839701 0.105295i
\(638\) −29.0954 −1.15190
\(639\) 5.12929 0.202912
\(640\) −20.2784 + 25.4284i −0.801576 + 1.00514i
\(641\) 18.8436 + 9.07461i 0.744278 + 0.358425i 0.767282 0.641310i \(-0.221609\pi\)
−0.0230038 + 0.999735i \(0.507323\pi\)
\(642\) 12.1603 + 53.2779i 0.479930 + 2.10271i
\(643\) −7.03146 + 30.8068i −0.277294 + 1.21490i 0.623906 + 0.781499i \(0.285545\pi\)
−0.901200 + 0.433404i \(0.857312\pi\)
\(644\) −28.4620 −1.12156
\(645\) 16.6829 + 11.7285i 0.656889 + 0.461810i
\(646\) −57.4771 −2.26141
\(647\) 8.21744 36.0030i 0.323061 1.41542i −0.509014 0.860758i \(-0.669990\pi\)
0.832075 0.554664i \(-0.187153\pi\)
\(648\) −3.62655 15.8889i −0.142464 0.624176i
\(649\) −12.9368 6.23006i −0.507816 0.244551i
\(650\) 0.431468 0.541044i 0.0169236 0.0212215i
\(651\) 23.6558 0.927143
\(652\) −71.3919 −2.79592
\(653\) −3.11679 + 3.90832i −0.121969 + 0.152945i −0.839067 0.544028i \(-0.816899\pi\)
0.717098 + 0.696972i \(0.245470\pi\)
\(654\) −28.1700 + 13.5660i −1.10153 + 0.530471i
\(655\) 13.0858 + 16.4090i 0.511303 + 0.641153i
\(656\) −2.90970 + 1.40124i −0.113605 + 0.0547091i
\(657\) 0.551369 2.41570i 0.0215109 0.0942456i
\(658\) −5.94989 + 7.46092i −0.231951 + 0.290857i
\(659\) 0.945469 4.14237i 0.0368302 0.161364i −0.953169 0.302440i \(-0.902199\pi\)
0.989999 + 0.141076i \(0.0450561\pi\)
\(660\) 37.6383 + 18.1257i 1.46507 + 0.705540i
\(661\) −27.5221 34.5116i −1.07048 1.34234i −0.936226 0.351398i \(-0.885706\pi\)
−0.134258 0.990946i \(-0.542865\pi\)
\(662\) −27.2724 34.1985i −1.05997 1.32916i
\(663\) 0.478894 + 2.09817i 0.0185987 + 0.0814862i
\(664\) 21.5836 + 10.3941i 0.837606 + 0.403370i
\(665\) −43.5599 + 20.9773i −1.68918 + 0.813466i
\(666\) −1.41819 6.21350i −0.0549538 0.240768i
\(667\) 1.43751 + 6.29814i 0.0556606 + 0.243865i
\(668\) −27.2359 + 13.1161i −1.05379 + 0.507477i
\(669\) −10.6528 5.13011i −0.411861 0.198342i
\(670\) −4.18598 18.3400i −0.161719 0.708535i
\(671\) −6.23221 7.81494i −0.240592 0.301693i
\(672\) 26.8282 + 33.6415i 1.03492 + 1.29775i
\(673\) 10.7497 + 5.17677i 0.414369 + 0.199550i 0.629441 0.777049i \(-0.283284\pi\)
−0.215071 + 0.976598i \(0.568998\pi\)
\(674\) −3.83393 + 16.7975i −0.147677 + 0.647017i
\(675\) −3.47285 + 4.35482i −0.133670 + 0.167617i
\(676\) 8.75547 38.3602i 0.336749 1.47539i
\(677\) 32.4180 15.6117i 1.24592 0.600005i 0.309507 0.950897i \(-0.399836\pi\)
0.936416 + 0.350892i \(0.114122\pi\)
\(678\) 20.3572 + 25.5271i 0.781813 + 0.980363i
\(679\) 69.8202 33.6236i 2.67945 1.29036i
\(680\) 13.2078 16.5620i 0.506494 0.635124i
\(681\) −24.1226 −0.924380
\(682\) 35.4620 1.35791
\(683\) 17.6645 22.1506i 0.675914 0.847569i −0.319057 0.947735i \(-0.603366\pi\)
0.994971 + 0.100167i \(0.0319376\pi\)
\(684\) 9.10172 + 4.38316i 0.348013 + 0.167594i
\(685\) −3.98254 17.4487i −0.152165 0.666679i
\(686\) −8.57218 + 37.5572i −0.327287 + 1.43394i
\(687\) 36.7520 1.40217
\(688\) 2.56369 + 4.59140i 0.0977397 + 0.175046i
\(689\) −0.432960 −0.0164945
\(690\) 3.41789 14.9748i 0.130117 0.570080i
\(691\) 1.45928 + 6.39352i 0.0555136 + 0.243221i 0.995070 0.0991725i \(-0.0316196\pi\)
−0.939557 + 0.342393i \(0.888762\pi\)
\(692\) 4.21164 + 2.02822i 0.160102 + 0.0771012i
\(693\) −6.79105 + 8.51571i −0.257971 + 0.323485i
\(694\) −12.4179 −0.471377
\(695\) −16.8358 −0.638618
\(696\) −6.71565 + 8.42116i −0.254556 + 0.319203i
\(697\) 16.3056 7.85236i 0.617618 0.297429i
\(698\) 3.60992 + 4.52669i 0.136637 + 0.171338i
\(699\) −30.3485 + 14.6150i −1.14788 + 0.552792i
\(700\) −2.88135 + 12.6240i −0.108905 + 0.477144i
\(701\) 22.3869 28.0722i 0.845540 1.06027i −0.151874 0.988400i \(-0.548531\pi\)
0.997414 0.0718739i \(-0.0228979\pi\)
\(702\) 0.857724 3.75793i 0.0323727 0.141834i
\(703\) −24.9885 12.0338i −0.942457 0.453864i
\(704\) 35.8119 + 44.9067i 1.34971 + 1.69249i
\(705\) −1.93900 2.43143i −0.0730270 0.0915730i
\(706\) 11.9879 + 52.5225i 0.451171 + 1.97671i
\(707\) −35.2787 16.9893i −1.32679 0.638950i
\(708\) −13.9209 + 6.70394i −0.523179 + 0.251950i
\(709\) 9.32185 + 40.8417i 0.350089 + 1.53384i 0.776972 + 0.629535i \(0.216754\pi\)
−0.426883 + 0.904307i \(0.640388\pi\)
\(710\) 8.81163 + 38.6063i 0.330694 + 1.44887i
\(711\) 1.94773 0.937977i 0.0730456 0.0351769i
\(712\) 10.6124 + 5.11065i 0.397715 + 0.191530i
\(713\) −1.75206 7.67628i −0.0656152 0.287479i
\(714\) −41.5773 52.1363i −1.55599 1.95115i
\(715\) 1.69202 + 2.12173i 0.0632780 + 0.0793481i
\(716\) 47.3107 + 22.7836i 1.76808 + 0.851465i
\(717\) −5.95175 + 26.0763i −0.222272 + 0.973837i
\(718\) 3.81282 4.78113i 0.142293 0.178430i
\(719\) −7.37076 + 32.2934i −0.274883 + 1.20434i 0.629288 + 0.777172i \(0.283346\pi\)
−0.904171 + 0.427170i \(0.859511\pi\)
\(720\) 0.841166 0.405084i 0.0313484 0.0150966i
\(721\) 3.08277 + 3.86567i 0.114808 + 0.143965i
\(722\) 27.1259 13.0632i 1.00952 0.486161i
\(723\) −24.5179 + 30.7445i −0.911830 + 1.14340i
\(724\) 36.9976 1.37501
\(725\) 2.93900 0.109152
\(726\) 18.3233 22.9767i 0.680043 0.852747i
\(727\) 6.27048 + 3.01970i 0.232559 + 0.111995i 0.546535 0.837437i \(-0.315947\pi\)
−0.313975 + 0.949431i \(0.601661\pi\)
\(728\) −0.685981 3.00548i −0.0254241 0.111390i
\(729\) −6.67755 + 29.2562i −0.247317 + 1.08356i
\(730\) 19.1293 0.708007
\(731\) −14.3666 25.7297i −0.531367 0.951646i
\(732\) −10.7560 −0.397553
\(733\) −8.59126 + 37.6408i −0.317325 + 1.39029i 0.524898 + 0.851165i \(0.324103\pi\)
−0.842223 + 0.539129i \(0.818754\pi\)
\(734\) −9.72617 42.6131i −0.358999 1.57288i
\(735\) −30.9245 14.8925i −1.14067 0.549317i
\(736\) 8.92961 11.1974i 0.329150 0.412741i
\(737\) −18.4426 −0.679344
\(738\) −5.26742 −0.193896
\(739\) 21.4103 26.8477i 0.787590 0.987607i −0.212356 0.977192i \(-0.568113\pi\)
0.999946 0.0104144i \(-0.00331507\pi\)
\(740\) 26.7700 12.8918i 0.984085 0.473910i
\(741\) −1.69955 2.13117i −0.0624347 0.0782906i
\(742\) 12.0869 5.82077i 0.443726 0.213687i
\(743\) 2.75475 12.0693i 0.101062 0.442781i −0.898927 0.438098i \(-0.855652\pi\)
0.999989 0.00468306i \(-0.00149067\pi\)
\(744\) 8.18515 10.2639i 0.300082 0.376291i
\(745\) −2.77479 + 12.1572i −0.101660 + 0.445404i
\(746\) −36.2238 17.4445i −1.32625 0.638687i
\(747\) −3.68896 4.62582i −0.134972 0.169250i
\(748\) −37.6383 47.1970i −1.37619 1.72569i
\(749\) −14.7811 64.7603i −0.540091 2.36629i
\(750\) −37.7754 18.1917i −1.37936 0.664266i
\(751\) 16.5978 7.99310i 0.605664 0.291672i −0.105809 0.994387i \(-0.533743\pi\)
0.711472 + 0.702714i \(0.248029\pi\)
\(752\) −0.178448 0.781831i −0.00650733 0.0285105i
\(753\) −0.671743 2.94310i −0.0244797 0.107252i
\(754\) −1.83244 + 0.882455i −0.0667334 + 0.0321371i
\(755\) −10.0978 4.86286i −0.367498 0.176978i
\(756\) 16.0492 + 70.3162i 0.583704 + 2.55738i
\(757\) 0.945870 + 1.18608i 0.0343782 + 0.0431089i 0.798723 0.601698i \(-0.205509\pi\)
−0.764345 + 0.644807i \(0.776938\pi\)
\(758\) −6.77897 8.50056i −0.246223 0.308754i
\(759\) −13.5673 6.53368i −0.492463 0.237158i
\(760\) −5.97046 + 26.1583i −0.216571 + 0.948861i
\(761\) 3.67174 4.60422i 0.133101 0.166903i −0.710815 0.703379i \(-0.751674\pi\)
0.843915 + 0.536476i \(0.180245\pi\)
\(762\) 11.3828 49.8715i 0.412357 1.80665i
\(763\) 34.2412 16.4897i 1.23962 0.596968i
\(764\) −30.4569 38.1917i −1.10189 1.38173i
\(765\) −4.71379 + 2.27004i −0.170427 + 0.0820736i
\(766\) 6.05980 7.59875i 0.218950 0.274554i
\(767\) −1.00372 −0.0362423
\(768\) 16.2755 0.587290
\(769\) 6.45175 8.09023i 0.232656 0.291741i −0.651775 0.758412i \(-0.725975\pi\)
0.884431 + 0.466671i \(0.154547\pi\)
\(770\) −75.7609 36.4845i −2.73023 1.31481i
\(771\) 5.43817 + 23.8262i 0.195851 + 0.858079i
\(772\) −16.1386 + 70.7076i