Properties

Label 770.2.o.b.549.15
Level $770$
Weight $2$
Character 770.549
Analytic conductor $6.148$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 549.15
Character \(\chi\) \(=\) 770.549
Dual form 770.2.o.b.439.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.533793 - 0.924557i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.13643 - 1.92576i) q^{5} +1.06759 q^{6} +(-1.22107 + 2.34712i) q^{7} -1.00000 q^{8} +(0.930129 + 1.61103i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.533793 - 0.924557i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.13643 - 1.92576i) q^{5} +1.06759 q^{6} +(-1.22107 + 2.34712i) q^{7} -1.00000 q^{8} +(0.930129 + 1.61103i) q^{9} +(2.23597 + 0.0212957i) q^{10} +(2.97904 + 1.45786i) q^{11} +(0.533793 + 0.924557i) q^{12} +1.72838i q^{13} +(-2.64320 + 0.116087i) q^{14} +(-1.17386 - 2.07865i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.33846 + 0.772761i) q^{17} +(-0.930129 + 1.61103i) q^{18} +(-0.241835 - 0.418871i) q^{19} +(1.09954 + 1.94705i) q^{20} +(1.51825 + 2.38183i) q^{21} +(0.226978 + 3.30885i) q^{22} +(3.47535 - 2.00649i) q^{23} +(-0.533793 + 0.924557i) q^{24} +(-2.41707 - 4.37696i) q^{25} +(-1.49682 + 0.864188i) q^{26} +5.18875 q^{27} +(-1.42214 - 2.23104i) q^{28} -1.63137i q^{29} +(1.21323 - 2.05591i) q^{30} +(4.21221 + 2.43192i) q^{31} +(0.500000 - 0.866025i) q^{32} +(2.93806 - 1.97610i) q^{33} +1.54552i q^{34} +(3.13234 + 5.01881i) q^{35} -1.86026 q^{36} +(-1.81722 + 1.04917i) q^{37} +(0.241835 - 0.418871i) q^{38} +(1.59798 + 0.922596i) q^{39} +(-1.13643 + 1.92576i) q^{40} +8.37376 q^{41} +(-1.30360 + 2.50576i) q^{42} -1.61281 q^{43} +(-2.75206 + 1.85099i) q^{44} +(4.15948 + 0.0396155i) q^{45} +(3.47535 + 2.00649i) q^{46} +(1.81833 + 3.14943i) q^{47} -1.06759 q^{48} +(-4.01799 - 5.73200i) q^{49} +(2.58202 - 4.28173i) q^{50} +(1.42892 - 0.824989i) q^{51} +(-1.49682 - 0.864188i) q^{52} +(-9.24141 - 5.33553i) q^{53} +(2.59437 + 4.49359i) q^{54} +(6.19293 - 4.08015i) q^{55} +(1.22107 - 2.34712i) q^{56} -0.516361 q^{57} +(1.41281 - 0.815686i) q^{58} +(3.56527 + 2.05841i) q^{59} +(2.38709 + 0.0227350i) q^{60} +(-0.573483 - 0.993302i) q^{61} +4.86384i q^{62} +(-4.91704 + 0.215952i) q^{63} +1.00000 q^{64} +(3.32843 + 1.96417i) q^{65} +(3.18038 + 1.55639i) q^{66} +(-4.81081 - 2.77752i) q^{67} +(-1.33846 + 0.772761i) q^{68} -4.28421i q^{69} +(-2.78025 + 5.22209i) q^{70} -6.87538 q^{71} +(-0.930129 - 1.61103i) q^{72} +(-6.69748 - 3.86679i) q^{73} +(-1.81722 - 1.04917i) q^{74} +(-5.33697 - 0.101669i) q^{75} +0.483671 q^{76} +(-7.05937 + 5.21203i) q^{77} +1.84519i q^{78} +(-8.64592 + 4.99172i) q^{79} +(-2.23597 - 0.0212957i) q^{80} +(-0.0206686 + 0.0357991i) q^{81} +(4.18688 + 7.25189i) q^{82} +3.34082i q^{83} +(-2.82185 + 0.123933i) q^{84} +(3.00921 - 1.69936i) q^{85} +(-0.806403 - 1.39673i) q^{86} +(-1.50830 - 0.870816i) q^{87} +(-2.97904 - 1.45786i) q^{88} +(6.49734 - 3.75124i) q^{89} +(2.04543 + 3.62202i) q^{90} +(-4.05672 - 2.11046i) q^{91} +4.01299i q^{92} +(4.49690 - 2.59629i) q^{93} +(-1.81833 + 3.14943i) q^{94} +(-1.08147 - 0.0103001i) q^{95} +(-0.533793 - 0.924557i) q^{96} -6.99351 q^{97} +(2.95506 - 6.34568i) q^{98} +(0.422237 + 6.15531i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 24 q^{2} - 24 q^{4} - 6 q^{5} + 4 q^{7} - 48 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 24 q^{2} - 24 q^{4} - 6 q^{5} + 4 q^{7} - 48 q^{8} - 28 q^{9} - 6 q^{10} + q^{11} + 2 q^{14} + 4 q^{15} - 24 q^{16} + 28 q^{18} + 2 q^{22} - 6 q^{26} - 2 q^{28} + 2 q^{30} + 12 q^{31} + 24 q^{32} - 24 q^{33} + 8 q^{35} + 56 q^{36} + 6 q^{40} - 24 q^{43} + q^{44} + 6 q^{45} - 36 q^{49} - 6 q^{52} - 4 q^{56} + 4 q^{57} - 2 q^{60} + 52 q^{63} + 48 q^{64} - 24 q^{66} - 2 q^{70} - 40 q^{71} + 28 q^{72} - 42 q^{73} + 90 q^{75} - 19 q^{77} + 6 q^{80} - 72 q^{81} + 40 q^{85} - 12 q^{86} - 18 q^{87} - q^{88} + 60 q^{89} - 56 q^{91} - 24 q^{95} - 42 q^{98} - 58 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 0.533793 0.924557i 0.308186 0.533793i −0.669780 0.742560i \(-0.733612\pi\)
0.977966 + 0.208766i \(0.0669448\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 1.13643 1.92576i 0.508225 0.861224i
\(6\) 1.06759 0.435840
\(7\) −1.22107 + 2.34712i −0.461520 + 0.887130i
\(8\) −1.00000 −0.353553
\(9\) 0.930129 + 1.61103i 0.310043 + 0.537010i
\(10\) 2.23597 + 0.0212957i 0.707075 + 0.00673428i
\(11\) 2.97904 + 1.45786i 0.898213 + 0.439560i
\(12\) 0.533793 + 0.924557i 0.154093 + 0.266897i
\(13\) 1.72838i 0.479365i 0.970851 + 0.239683i \(0.0770434\pi\)
−0.970851 + 0.239683i \(0.922957\pi\)
\(14\) −2.64320 + 0.116087i −0.706426 + 0.0310255i
\(15\) −1.17386 2.07865i −0.303088 0.536704i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.33846 + 0.772761i 0.324625 + 0.187422i 0.653452 0.756968i \(-0.273320\pi\)
−0.328827 + 0.944390i \(0.606653\pi\)
\(18\) −0.930129 + 1.61103i −0.219234 + 0.379724i
\(19\) −0.241835 0.418871i −0.0554809 0.0960957i 0.836951 0.547278i \(-0.184336\pi\)
−0.892432 + 0.451182i \(0.851003\pi\)
\(20\) 1.09954 + 1.94705i 0.245865 + 0.435374i
\(21\) 1.51825 + 2.38183i 0.331310 + 0.519757i
\(22\) 0.226978 + 3.30885i 0.0483918 + 0.705449i
\(23\) 3.47535 2.00649i 0.724660 0.418383i −0.0918052 0.995777i \(-0.529264\pi\)
0.816466 + 0.577394i \(0.195930\pi\)
\(24\) −0.533793 + 0.924557i −0.108960 + 0.188724i
\(25\) −2.41707 4.37696i −0.483414 0.875392i
\(26\) −1.49682 + 0.864188i −0.293550 + 0.169481i
\(27\) 5.18875 0.998575
\(28\) −1.42214 2.23104i −0.268758 0.421627i
\(29\) 1.63137i 0.302938i −0.988462 0.151469i \(-0.951600\pi\)
0.988462 0.151469i \(-0.0484004\pi\)
\(30\) 1.21323 2.05591i 0.221505 0.375356i
\(31\) 4.21221 + 2.43192i 0.756535 + 0.436786i 0.828050 0.560654i \(-0.189450\pi\)
−0.0715154 + 0.997439i \(0.522783\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 2.93806 1.97610i 0.511451 0.343994i
\(34\) 1.54552i 0.265055i
\(35\) 3.13234 + 5.01881i 0.529462 + 0.848334i
\(36\) −1.86026 −0.310043
\(37\) −1.81722 + 1.04917i −0.298749 + 0.172483i −0.641881 0.766804i \(-0.721846\pi\)
0.343132 + 0.939287i \(0.388512\pi\)
\(38\) 0.241835 0.418871i 0.0392309 0.0679499i
\(39\) 1.59798 + 0.922596i 0.255882 + 0.147734i
\(40\) −1.13643 + 1.92576i −0.179685 + 0.304489i
\(41\) 8.37376 1.30776 0.653881 0.756597i \(-0.273140\pi\)
0.653881 + 0.756597i \(0.273140\pi\)
\(42\) −1.30360 + 2.50576i −0.201149 + 0.386647i
\(43\) −1.61281 −0.245951 −0.122975 0.992410i \(-0.539244\pi\)
−0.122975 + 0.992410i \(0.539244\pi\)
\(44\) −2.75206 + 1.85099i −0.414888 + 0.279048i
\(45\) 4.15948 + 0.0396155i 0.620058 + 0.00590552i
\(46\) 3.47535 + 2.00649i 0.512412 + 0.295841i
\(47\) 1.81833 + 3.14943i 0.265230 + 0.459392i 0.967624 0.252397i \(-0.0812187\pi\)
−0.702394 + 0.711789i \(0.747885\pi\)
\(48\) −1.06759 −0.154093
\(49\) −4.01799 5.73200i −0.573998 0.818856i
\(50\) 2.58202 4.28173i 0.365153 0.605527i
\(51\) 1.42892 0.824989i 0.200089 0.115522i
\(52\) −1.49682 0.864188i −0.207571 0.119841i
\(53\) −9.24141 5.33553i −1.26941 0.732892i −0.294530 0.955642i \(-0.595163\pi\)
−0.974875 + 0.222751i \(0.928496\pi\)
\(54\) 2.59437 + 4.49359i 0.353050 + 0.611500i
\(55\) 6.19293 4.08015i 0.835054 0.550168i
\(56\) 1.22107 2.34712i 0.163172 0.313648i
\(57\) −0.516361 −0.0683936
\(58\) 1.41281 0.815686i 0.185511 0.107105i
\(59\) 3.56527 + 2.05841i 0.464158 + 0.267982i 0.713791 0.700359i \(-0.246977\pi\)
−0.249633 + 0.968341i \(0.580310\pi\)
\(60\) 2.38709 + 0.0227350i 0.308172 + 0.00293507i
\(61\) −0.573483 0.993302i −0.0734270 0.127179i 0.826974 0.562240i \(-0.190060\pi\)
−0.900401 + 0.435061i \(0.856727\pi\)
\(62\) 4.86384i 0.617708i
\(63\) −4.91704 + 0.215952i −0.619489 + 0.0272073i
\(64\) 1.00000 0.125000
\(65\) 3.32843 + 1.96417i 0.412841 + 0.243626i
\(66\) 3.18038 + 1.55639i 0.391478 + 0.191578i
\(67\) −4.81081 2.77752i −0.587735 0.339329i 0.176467 0.984307i \(-0.443533\pi\)
−0.764201 + 0.644978i \(0.776867\pi\)
\(68\) −1.33846 + 0.772761i −0.162312 + 0.0937110i
\(69\) 4.28421i 0.515758i
\(70\) −2.78025 + 5.22209i −0.332303 + 0.624159i
\(71\) −6.87538 −0.815957 −0.407979 0.912991i \(-0.633766\pi\)
−0.407979 + 0.912991i \(0.633766\pi\)
\(72\) −0.930129 1.61103i −0.109617 0.189862i
\(73\) −6.69748 3.86679i −0.783881 0.452574i 0.0539227 0.998545i \(-0.482828\pi\)
−0.837804 + 0.545971i \(0.816161\pi\)
\(74\) −1.81722 1.04917i −0.211248 0.121964i
\(75\) −5.33697 0.101669i −0.616260 0.0117398i
\(76\) 0.483671 0.0554809
\(77\) −7.05937 + 5.21203i −0.804490 + 0.593966i
\(78\) 1.84519i 0.208927i
\(79\) −8.64592 + 4.99172i −0.972741 + 0.561613i −0.900071 0.435743i \(-0.856485\pi\)
−0.0726705 + 0.997356i \(0.523152\pi\)
\(80\) −2.23597 0.0212957i −0.249989 0.00238093i
\(81\) −0.0206686 + 0.0357991i −0.00229651 + 0.00397767i
\(82\) 4.18688 + 7.25189i 0.462364 + 0.800837i
\(83\) 3.34082i 0.366703i 0.983047 + 0.183351i \(0.0586946\pi\)
−0.983047 + 0.183351i \(0.941305\pi\)
\(84\) −2.82185 + 0.123933i −0.307889 + 0.0135222i
\(85\) 3.00921 1.69936i 0.326395 0.184322i
\(86\) −0.806403 1.39673i −0.0869566 0.150613i
\(87\) −1.50830 0.870816i −0.161706 0.0933613i
\(88\) −2.97904 1.45786i −0.317566 0.155408i
\(89\) 6.49734 3.75124i 0.688716 0.397631i −0.114415 0.993433i \(-0.536499\pi\)
0.803131 + 0.595802i \(0.203166\pi\)
\(90\) 2.04543 + 3.62202i 0.215607 + 0.381794i
\(91\) −4.05672 2.11046i −0.425259 0.221237i
\(92\) 4.01299i 0.418383i
\(93\) 4.49690 2.59629i 0.466307 0.269222i
\(94\) −1.81833 + 3.14943i −0.187546 + 0.324839i
\(95\) −1.08147 0.0103001i −0.110957 0.00105677i
\(96\) −0.533793 0.924557i −0.0544801 0.0943622i
\(97\) −6.99351 −0.710084 −0.355042 0.934850i \(-0.615533\pi\)
−0.355042 + 0.934850i \(0.615533\pi\)
\(98\) 2.95506 6.34568i 0.298506 0.641010i
\(99\) 0.422237 + 6.15531i 0.0424364 + 0.618632i
\(100\) 4.99909 + 0.0952328i 0.499909 + 0.00952328i
\(101\) 1.06527 1.84510i 0.105998 0.183594i −0.808148 0.588980i \(-0.799530\pi\)
0.914146 + 0.405386i \(0.132863\pi\)
\(102\) 1.42892 + 0.824989i 0.141484 + 0.0816861i
\(103\) 7.74347 + 13.4121i 0.762987 + 1.32153i 0.941305 + 0.337559i \(0.109601\pi\)
−0.178318 + 0.983973i \(0.557066\pi\)
\(104\) 1.72838i 0.169481i
\(105\) 6.31220 0.217016i 0.616008 0.0211786i
\(106\) 10.6711i 1.03647i
\(107\) −0.324320 0.561739i −0.0313532 0.0543054i 0.849923 0.526907i \(-0.176648\pi\)
−0.881276 + 0.472602i \(0.843315\pi\)
\(108\) −2.59437 + 4.49359i −0.249644 + 0.432396i
\(109\) −17.4081 10.0506i −1.66739 0.962669i −0.969037 0.246916i \(-0.920583\pi\)
−0.698354 0.715753i \(-0.746084\pi\)
\(110\) 6.62998 + 3.32316i 0.632144 + 0.316851i
\(111\) 2.24017i 0.212627i
\(112\) 2.64320 0.116087i 0.249759 0.0109692i
\(113\) 2.42255i 0.227895i −0.993487 0.113947i \(-0.963651\pi\)
0.993487 0.113947i \(-0.0363495\pi\)
\(114\) −0.258180 0.447182i −0.0241808 0.0418824i
\(115\) 0.0854592 8.97290i 0.00796912 0.836728i
\(116\) 1.41281 + 0.815686i 0.131176 + 0.0757346i
\(117\) −2.78447 + 1.60761i −0.257424 + 0.148624i
\(118\) 4.11682i 0.378984i
\(119\) −3.44812 + 2.19794i −0.316088 + 0.201485i
\(120\) 1.17386 + 2.07865i 0.107158 + 0.189754i
\(121\) 6.74931 + 8.68601i 0.613574 + 0.789637i
\(122\) 0.573483 0.993302i 0.0519207 0.0899293i
\(123\) 4.46986 7.74202i 0.403034 0.698075i
\(124\) −4.21221 + 2.43192i −0.378267 + 0.218393i
\(125\) −11.1758 0.319396i −0.999592 0.0285677i
\(126\) −2.64554 4.15031i −0.235683 0.369739i
\(127\) 16.9566 1.50465 0.752326 0.658791i \(-0.228932\pi\)
0.752326 + 0.658791i \(0.228932\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −0.860905 + 1.49113i −0.0757984 + 0.131287i
\(130\) −0.0368069 + 3.86459i −0.00322818 + 0.338947i
\(131\) −3.04800 5.27929i −0.266305 0.461254i 0.701600 0.712571i \(-0.252469\pi\)
−0.967905 + 0.251318i \(0.919136\pi\)
\(132\) 0.242318 + 3.53248i 0.0210911 + 0.307463i
\(133\) 1.27844 0.0561478i 0.110855 0.00486863i
\(134\) 5.55505i 0.479883i
\(135\) 5.89663 9.99226i 0.507501 0.859997i
\(136\) −1.33846 0.772761i −0.114772 0.0662637i
\(137\) −8.99694 5.19438i −0.768660 0.443786i 0.0637363 0.997967i \(-0.479698\pi\)
−0.832396 + 0.554181i \(0.813032\pi\)
\(138\) 3.71024 2.14211i 0.315836 0.182348i
\(139\) −14.0908 −1.19517 −0.597584 0.801807i \(-0.703872\pi\)
−0.597584 + 0.801807i \(0.703872\pi\)
\(140\) −5.91259 + 0.203278i −0.499705 + 0.0171801i
\(141\) 3.88244 0.326961
\(142\) −3.43769 5.95425i −0.288484 0.499670i
\(143\) −2.51972 + 5.14890i −0.210710 + 0.430572i
\(144\) 0.930129 1.61103i 0.0775108 0.134253i
\(145\) −3.14163 1.85393i −0.260898 0.153961i
\(146\) 7.73359i 0.640036i
\(147\) −7.44433 + 0.655159i −0.613998 + 0.0540366i
\(148\) 2.09835i 0.172483i
\(149\) −18.2929 + 10.5614i −1.49861 + 0.865223i −0.999999 0.00160170i \(-0.999490\pi\)
−0.498612 + 0.866825i \(0.666157\pi\)
\(150\) −2.58043 4.67278i −0.210692 0.381531i
\(151\) −14.7836 8.53532i −1.20307 0.694595i −0.241836 0.970317i \(-0.577750\pi\)
−0.961237 + 0.275723i \(0.911083\pi\)
\(152\) 0.241835 + 0.418871i 0.0196154 + 0.0339750i
\(153\) 2.87507i 0.232436i
\(154\) −8.04344 3.50758i −0.648159 0.282649i
\(155\) 9.47015 5.34799i 0.760660 0.429561i
\(156\) −1.59798 + 0.922596i −0.127941 + 0.0738668i
\(157\) 5.57078 9.64888i 0.444597 0.770064i −0.553427 0.832898i \(-0.686680\pi\)
0.998024 + 0.0628331i \(0.0200136\pi\)
\(158\) −8.64592 4.99172i −0.687832 0.397120i
\(159\) −9.86601 + 5.69614i −0.782425 + 0.451733i
\(160\) −1.09954 1.94705i −0.0869263 0.153928i
\(161\) 0.465855 + 10.6071i 0.0367145 + 0.835960i
\(162\) −0.0413372 −0.00324776
\(163\) 16.7221 9.65452i 1.30978 0.756200i 0.327718 0.944776i \(-0.393720\pi\)
0.982059 + 0.188575i \(0.0603870\pi\)
\(164\) −4.18688 + 7.25189i −0.326940 + 0.566278i
\(165\) −0.466589 7.90367i −0.0363239 0.615300i
\(166\) −2.89323 + 1.67041i −0.224559 + 0.129649i
\(167\) 17.1797i 1.32940i −0.747108 0.664702i \(-0.768558\pi\)
0.747108 0.664702i \(-0.231442\pi\)
\(168\) −1.51825 2.38183i −0.117136 0.183762i
\(169\) 10.0127 0.770209
\(170\) 2.97630 + 1.75637i 0.228272 + 0.134708i
\(171\) 0.449877 0.779209i 0.0344029 0.0595876i
\(172\) 0.806403 1.39673i 0.0614876 0.106500i
\(173\) 0.606406 0.350108i 0.0461042 0.0266182i −0.476771 0.879028i \(-0.658193\pi\)
0.522875 + 0.852409i \(0.324859\pi\)
\(174\) 1.74163i 0.132033i
\(175\) 13.2247 0.328609i 0.999691 0.0248405i
\(176\) −0.226978 3.30885i −0.0171091 0.249414i
\(177\) 3.80623 2.19753i 0.286094 0.165176i
\(178\) 6.49734 + 3.75124i 0.486996 + 0.281167i
\(179\) 6.63861 11.4984i 0.496193 0.859431i −0.503797 0.863822i \(-0.668064\pi\)
0.999990 + 0.00439038i \(0.00139751\pi\)
\(180\) −2.11405 + 3.58240i −0.157572 + 0.267017i
\(181\) 10.9605i 0.814687i −0.913275 0.407344i \(-0.866455\pi\)
0.913275 0.407344i \(-0.133545\pi\)
\(182\) −0.200642 4.56845i −0.0148726 0.338636i
\(183\) −1.22449 −0.0905166
\(184\) −3.47535 + 2.00649i −0.256206 + 0.147921i
\(185\) −0.0446857 + 4.69183i −0.00328536 + 0.344951i
\(186\) 4.49690 + 2.59629i 0.329729 + 0.190369i
\(187\) 2.86075 + 4.25337i 0.209199 + 0.311037i
\(188\) −3.63665 −0.265230
\(189\) −6.33581 + 12.1786i −0.460862 + 0.885866i
\(190\) −0.531816 0.941732i −0.0385820 0.0683204i
\(191\) 7.21273 + 12.4928i 0.521894 + 0.903948i 0.999676 + 0.0254689i \(0.00810786\pi\)
−0.477781 + 0.878479i \(0.658559\pi\)
\(192\) 0.533793 0.924557i 0.0385232 0.0667242i
\(193\) 3.60370 6.24180i 0.259400 0.449294i −0.706681 0.707532i \(-0.749808\pi\)
0.966081 + 0.258238i \(0.0831418\pi\)
\(194\) −3.49676 6.05656i −0.251053 0.434836i
\(195\) 3.59268 2.02886i 0.257277 0.145290i
\(196\) 6.97305 0.613682i 0.498075 0.0438344i
\(197\) −15.3130 −1.09101 −0.545504 0.838108i \(-0.683662\pi\)
−0.545504 + 0.838108i \(0.683662\pi\)
\(198\) −5.11954 + 3.44333i −0.363830 + 0.244706i
\(199\) 14.6472 + 8.45658i 1.03831 + 0.599471i 0.919355 0.393428i \(-0.128711\pi\)
0.118959 + 0.992899i \(0.462044\pi\)
\(200\) 2.41707 + 4.37696i 0.170913 + 0.309498i
\(201\) −5.13596 + 2.96525i −0.362263 + 0.209153i
\(202\) 2.13053 0.149904
\(203\) 3.82904 + 1.99202i 0.268746 + 0.139812i
\(204\) 1.64998i 0.115522i
\(205\) 9.51616 16.1258i 0.664637 1.12628i
\(206\) −7.74347 + 13.4121i −0.539513 + 0.934464i
\(207\) 6.46505 + 3.73260i 0.449352 + 0.259433i
\(208\) 1.49682 0.864188i 0.103786 0.0599207i
\(209\) −0.109783 1.60039i −0.00759382 0.110702i
\(210\) 3.34404 + 5.35802i 0.230761 + 0.369738i
\(211\) 6.95564i 0.478846i −0.970915 0.239423i \(-0.923042\pi\)
0.970915 0.239423i \(-0.0769583\pi\)
\(212\) 9.24141 5.33553i 0.634703 0.366446i
\(213\) −3.67003 + 6.35668i −0.251466 + 0.435553i
\(214\) 0.324320 0.561739i 0.0221701 0.0383997i
\(215\) −1.83283 + 3.10587i −0.124998 + 0.211819i
\(216\) −5.18875 −0.353050
\(217\) −10.8514 + 6.91704i −0.736642 + 0.469559i
\(218\) 20.1011i 1.36142i
\(219\) −7.15015 + 4.12814i −0.483162 + 0.278954i
\(220\) 0.437051 + 7.40331i 0.0294659 + 0.499131i
\(221\) −1.33562 + 2.31337i −0.0898437 + 0.155614i
\(222\) −1.94004 + 1.12008i −0.130207 + 0.0751751i
\(223\) 12.4881 0.836264 0.418132 0.908386i \(-0.362685\pi\)
0.418132 + 0.908386i \(0.362685\pi\)
\(224\) 1.42214 + 2.23104i 0.0950204 + 0.149067i
\(225\) 4.80323 7.96512i 0.320215 0.531008i
\(226\) 2.09799 1.21128i 0.139556 0.0805729i
\(227\) 0.827974 + 0.478031i 0.0549546 + 0.0317280i 0.527226 0.849725i \(-0.323232\pi\)
−0.472271 + 0.881453i \(0.656566\pi\)
\(228\) 0.258180 0.447182i 0.0170984 0.0296153i
\(229\) −19.5904 + 11.3105i −1.29457 + 0.747421i −0.979461 0.201634i \(-0.935375\pi\)
−0.315110 + 0.949055i \(0.602041\pi\)
\(230\) 7.81349 4.41244i 0.515206 0.290948i
\(231\) 1.05057 + 9.30894i 0.0691225 + 0.612483i
\(232\) 1.63137i 0.107105i
\(233\) −2.76095 4.78210i −0.180876 0.313286i 0.761303 0.648396i \(-0.224560\pi\)
−0.942179 + 0.335110i \(0.891227\pi\)
\(234\) −2.78447 1.60761i −0.182026 0.105093i
\(235\) 8.13143 + 0.0774449i 0.530436 + 0.00505195i
\(236\) −3.56527 + 2.05841i −0.232079 + 0.133991i
\(237\) 10.6582i 0.692324i
\(238\) −3.62753 1.88719i −0.235138 0.122328i
\(239\) 3.36046i 0.217370i 0.994076 + 0.108685i \(0.0346640\pi\)
−0.994076 + 0.108685i \(0.965336\pi\)
\(240\) −1.21323 + 2.05591i −0.0783139 + 0.132709i
\(241\) 5.95532 10.3149i 0.383616 0.664442i −0.607960 0.793968i \(-0.708012\pi\)
0.991576 + 0.129525i \(0.0413453\pi\)
\(242\) −4.14765 + 10.1881i −0.266621 + 0.654915i
\(243\) 7.80519 + 13.5190i 0.500703 + 0.867243i
\(244\) 1.14697 0.0734270
\(245\) −15.6046 + 1.22368i −0.996939 + 0.0781779i
\(246\) 8.93972 0.569976
\(247\) 0.723967 0.417983i 0.0460649 0.0265956i
\(248\) −4.21221 2.43192i −0.267475 0.154427i
\(249\) 3.08878 + 1.78331i 0.195743 + 0.113013i
\(250\) −5.31128 9.83820i −0.335915 0.622223i
\(251\) 20.9460i 1.32210i −0.750343 0.661049i \(-0.770112\pi\)
0.750343 0.661049i \(-0.229888\pi\)
\(252\) 2.27150 4.36626i 0.143091 0.275048i
\(253\) 13.2784 0.910859i 0.834804 0.0572652i
\(254\) 8.47828 + 14.6848i 0.531975 + 0.921408i
\(255\) 0.0351374 3.68930i 0.00220039 0.231033i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 5.95152 + 10.3083i 0.371245 + 0.643016i 0.989757 0.142759i \(-0.0455975\pi\)
−0.618512 + 0.785775i \(0.712264\pi\)
\(258\) −1.72181 −0.107195
\(259\) −0.243591 5.54636i −0.0151360 0.344634i
\(260\) −3.36524 + 1.90042i −0.208703 + 0.117859i
\(261\) 2.62819 1.51739i 0.162681 0.0939239i
\(262\) 3.04800 5.27929i 0.188306 0.326156i
\(263\) −12.0330 + 20.8417i −0.741984 + 1.28515i 0.209606 + 0.977786i \(0.432782\pi\)
−0.951591 + 0.307368i \(0.900552\pi\)
\(264\) −2.93806 + 1.97610i −0.180825 + 0.121620i
\(265\) −20.7771 + 11.7333i −1.27633 + 0.720769i
\(266\) 0.687846 + 1.07909i 0.0421745 + 0.0661631i
\(267\) 8.00955i 0.490176i
\(268\) 4.81081 2.77752i 0.293867 0.169664i
\(269\) −25.6188 14.7910i −1.56200 0.901823i −0.997054 0.0766981i \(-0.975562\pi\)
−0.564950 0.825125i \(-0.691104\pi\)
\(270\) 11.6019 + 0.110498i 0.706067 + 0.00672469i
\(271\) −7.35747 12.7435i −0.446934 0.774113i 0.551250 0.834340i \(-0.314151\pi\)
−0.998185 + 0.0602268i \(0.980818\pi\)
\(272\) 1.54552i 0.0937110i
\(273\) −4.11669 + 2.62411i −0.249154 + 0.158819i
\(274\) 10.3888i 0.627608i
\(275\) −0.819572 16.5629i −0.0494221 0.998778i
\(276\) 3.71024 + 2.14211i 0.223330 + 0.128940i
\(277\) 16.4309 28.4591i 0.987235 1.70994i 0.355686 0.934606i \(-0.384247\pi\)
0.631549 0.775336i \(-0.282419\pi\)
\(278\) −7.04541 12.2030i −0.422555 0.731887i
\(279\) 9.04800i 0.541689i
\(280\) −3.13234 5.01881i −0.187193 0.299931i
\(281\) 13.7160i 0.818227i 0.912484 + 0.409113i \(0.134162\pi\)
−0.912484 + 0.409113i \(0.865838\pi\)
\(282\) 1.94122 + 3.36229i 0.115598 + 0.200222i
\(283\) 11.1527 + 6.43900i 0.662958 + 0.382759i 0.793403 0.608697i \(-0.208307\pi\)
−0.130445 + 0.991455i \(0.541641\pi\)
\(284\) 3.43769 5.95425i 0.203989 0.353320i
\(285\) −0.586806 + 0.994385i −0.0347594 + 0.0589023i
\(286\) −5.71894 + 0.392303i −0.338168 + 0.0231974i
\(287\) −10.2249 + 19.6543i −0.603558 + 1.16015i
\(288\) 1.86026 0.109617
\(289\) −7.30568 12.6538i −0.429746 0.744342i
\(290\) 0.0347412 3.64770i 0.00204007 0.214200i
\(291\) −3.73309 + 6.46591i −0.218838 + 0.379038i
\(292\) 6.69748 3.86679i 0.391941 0.226287i
\(293\) 2.61732i 0.152905i 0.997073 + 0.0764527i \(0.0243594\pi\)
−0.997073 + 0.0764527i \(0.975641\pi\)
\(294\) −4.28955 6.11940i −0.250172 0.356891i
\(295\) 8.01566 4.52661i 0.466690 0.263549i
\(296\) 1.81722 1.04917i 0.105624 0.0609820i
\(297\) 15.4575 + 7.56445i 0.896933 + 0.438934i
\(298\) −18.2929 10.5614i −1.05968 0.611805i
\(299\) 3.46798 + 6.00671i 0.200558 + 0.347377i
\(300\) 2.75653 4.57111i 0.159148 0.263913i
\(301\) 1.96934 3.78546i 0.113511 0.218190i
\(302\) 17.0706i 0.982305i
\(303\) −1.13726 1.96980i −0.0653342 0.113162i
\(304\) −0.241835 + 0.418871i −0.0138702 + 0.0240239i
\(305\) −2.56458 0.0244254i −0.146847 0.00139860i
\(306\) −2.48988 + 1.43754i −0.142337 + 0.0821784i
\(307\) 11.4180i 0.651658i −0.945429 0.325829i \(-0.894357\pi\)
0.945429 0.325829i \(-0.105643\pi\)
\(308\) −0.984062 8.71961i −0.0560721 0.496846i
\(309\) 16.5336 0.940566
\(310\) 9.36657 + 5.52739i 0.531985 + 0.313935i
\(311\) −23.5119 13.5746i −1.33324 0.769744i −0.347442 0.937702i \(-0.612950\pi\)
−0.985794 + 0.167957i \(0.946283\pi\)
\(312\) −1.59798 0.922596i −0.0904680 0.0522317i
\(313\) 14.2815 + 24.7363i 0.807239 + 1.39818i 0.914769 + 0.403978i \(0.132373\pi\)
−0.107530 + 0.994202i \(0.534294\pi\)
\(314\) 11.1416 0.628755
\(315\) −5.17198 + 9.71444i −0.291408 + 0.547346i
\(316\) 9.98344i 0.561613i
\(317\) 11.7827 6.80274i 0.661782 0.382080i −0.131174 0.991359i \(-0.541875\pi\)
0.792956 + 0.609279i \(0.208541\pi\)
\(318\) −9.86601 5.69614i −0.553258 0.319424i
\(319\) 2.37831 4.85992i 0.133160 0.272103i
\(320\) 1.13643 1.92576i 0.0635281 0.107653i
\(321\) −0.692480 −0.0386505
\(322\) −8.95313 + 5.70701i −0.498938 + 0.318039i
\(323\) 0.747524i 0.0415933i
\(324\) −0.0206686 0.0357991i −0.00114826 0.00198884i
\(325\) 7.56503 4.17761i 0.419632 0.231732i
\(326\) 16.7221 + 9.65452i 0.926152 + 0.534714i
\(327\) −18.5846 + 10.7298i −1.02773 + 0.593361i
\(328\) −8.37376 −0.462364
\(329\) −9.61241 + 0.422167i −0.529949 + 0.0232748i
\(330\) 6.61149 4.35592i 0.363950 0.239785i
\(331\) 9.39302 + 16.2692i 0.516287 + 0.894235i 0.999821 + 0.0189097i \(0.00601951\pi\)
−0.483534 + 0.875325i \(0.660647\pi\)
\(332\) −2.89323 1.67041i −0.158787 0.0916757i
\(333\) −3.38050 1.95173i −0.185250 0.106954i
\(334\) 14.8781 8.58985i 0.814091 0.470016i
\(335\) −10.8160 + 6.10800i −0.590940 + 0.333716i
\(336\) 1.30360 2.50576i 0.0711170 0.136700i
\(337\) −1.86493 −0.101589 −0.0507946 0.998709i \(-0.516175\pi\)
−0.0507946 + 0.998709i \(0.516175\pi\)
\(338\) 5.00636 + 8.67126i 0.272310 + 0.471655i
\(339\) −2.23979 1.29314i −0.121649 0.0702339i
\(340\) −0.0329129 + 3.45574i −0.00178495 + 0.187414i
\(341\) 9.00293 + 13.3856i 0.487536 + 0.724869i
\(342\) 0.899753 0.0486531
\(343\) 18.3599 2.43157i 0.991344 0.131292i
\(344\) 1.61281 0.0869566
\(345\) −8.25035 4.86869i −0.444184 0.262121i
\(346\) 0.606406 + 0.350108i 0.0326006 + 0.0188219i
\(347\) −5.05922 + 8.76283i −0.271593 + 0.470414i −0.969270 0.245999i \(-0.920884\pi\)
0.697677 + 0.716413i \(0.254217\pi\)
\(348\) 1.50830 0.870816i 0.0808532 0.0466806i
\(349\) 4.65704 0.249286 0.124643 0.992202i \(-0.460222\pi\)
0.124643 + 0.992202i \(0.460222\pi\)
\(350\) 6.89692 + 11.2886i 0.368656 + 0.603401i
\(351\) 8.96811i 0.478682i
\(352\) 2.75206 1.85099i 0.146685 0.0986583i
\(353\) −15.9692 + 27.6595i −0.849957 + 1.47217i 0.0312881 + 0.999510i \(0.490039\pi\)
−0.881245 + 0.472659i \(0.843294\pi\)
\(354\) 3.80623 + 2.19753i 0.202299 + 0.116797i
\(355\) −7.81336 + 13.2403i −0.414690 + 0.702722i
\(356\) 7.50248i 0.397631i
\(357\) 0.191541 + 4.36123i 0.0101374 + 0.230821i
\(358\) 13.2772 0.701723
\(359\) −15.3645 + 8.87070i −0.810908 + 0.468178i −0.847271 0.531161i \(-0.821756\pi\)
0.0363633 + 0.999339i \(0.488423\pi\)
\(360\) −4.15948 0.0396155i −0.219224 0.00208792i
\(361\) 9.38303 16.2519i 0.493844 0.855362i
\(362\) 9.49207 5.48025i 0.498892 0.288035i
\(363\) 11.6335 1.60359i 0.610598 0.0841667i
\(364\) 3.85607 2.45799i 0.202113 0.128833i
\(365\) −15.0577 + 8.50340i −0.788156 + 0.445088i
\(366\) −0.612243 1.06044i −0.0320025 0.0554299i
\(367\) 4.51064 7.81267i 0.235454 0.407818i −0.723951 0.689852i \(-0.757676\pi\)
0.959404 + 0.282034i \(0.0910091\pi\)
\(368\) −3.47535 2.00649i −0.181165 0.104596i
\(369\) 7.78868 + 13.4904i 0.405463 + 0.702282i
\(370\) −4.08559 + 2.30722i −0.212400 + 0.119947i
\(371\) 23.8075 15.1757i 1.23603 0.787883i
\(372\) 5.19257i 0.269222i
\(373\) 11.6611 + 20.1977i 0.603791 + 1.04580i 0.992241 + 0.124327i \(0.0396771\pi\)
−0.388451 + 0.921470i \(0.626990\pi\)
\(374\) −2.25315 + 4.60417i −0.116508 + 0.238076i
\(375\) −6.26086 + 10.1622i −0.323309 + 0.524771i
\(376\) −1.81833 3.14943i −0.0937730 0.162420i
\(377\) 2.81963 0.145218
\(378\) −13.7149 + 0.602345i −0.705419 + 0.0309813i
\(379\) −9.54007 −0.490040 −0.245020 0.969518i \(-0.578795\pi\)
−0.245020 + 0.969518i \(0.578795\pi\)
\(380\) 0.549656 0.931432i 0.0281968 0.0477815i
\(381\) 9.05130 15.6773i 0.463712 0.803173i
\(382\) −7.21273 + 12.4928i −0.369035 + 0.639188i
\(383\) 10.7286 + 18.5824i 0.548204 + 0.949517i 0.998398 + 0.0565859i \(0.0180215\pi\)
−0.450194 + 0.892931i \(0.648645\pi\)
\(384\) 1.06759 0.0544801
\(385\) 2.01464 + 19.5177i 0.102676 + 0.994715i
\(386\) 7.20741 0.366847
\(387\) −1.50012 2.59828i −0.0762553 0.132078i
\(388\) 3.49676 6.05656i 0.177521 0.307475i
\(389\) 1.52868 2.64775i 0.0775072 0.134246i −0.824667 0.565619i \(-0.808637\pi\)
0.902174 + 0.431373i \(0.141971\pi\)
\(390\) 3.55339 + 2.09692i 0.179933 + 0.106182i
\(391\) 6.20216 0.313657
\(392\) 4.01799 + 5.73200i 0.202939 + 0.289509i
\(393\) −6.50801 −0.328286
\(394\) −7.65651 13.2615i −0.385729 0.668103i
\(395\) −0.212604 + 22.3226i −0.0106973 + 1.12317i
\(396\) −5.54178 2.71199i −0.278485 0.136283i
\(397\) −8.08582 14.0051i −0.405816 0.702893i 0.588600 0.808424i \(-0.299679\pi\)
−0.994416 + 0.105531i \(0.966346\pi\)
\(398\) 16.9132i 0.847780i
\(399\) 0.630511 1.21196i 0.0315650 0.0606740i
\(400\) −2.58202 + 4.28173i −0.129101 + 0.214086i
\(401\) 5.34633 + 9.26012i 0.266983 + 0.462428i 0.968081 0.250636i \(-0.0806399\pi\)
−0.701098 + 0.713065i \(0.747307\pi\)
\(402\) −5.13596 2.96525i −0.256158 0.147893i
\(403\) −4.20327 + 7.28028i −0.209380 + 0.362657i
\(404\) 1.06527 + 1.84510i 0.0529990 + 0.0917970i
\(405\) 0.0454519 + 0.0804856i 0.00225852 + 0.00399936i
\(406\) 0.189381 + 4.31205i 0.00939882 + 0.214003i
\(407\) −6.94311 + 0.476278i −0.344157 + 0.0236082i
\(408\) −1.42892 + 0.824989i −0.0707422 + 0.0408431i
\(409\) 15.5654 26.9600i 0.769659 1.33309i −0.168089 0.985772i \(-0.553760\pi\)
0.937748 0.347316i \(-0.112907\pi\)
\(410\) 18.7235 + 0.178325i 0.924685 + 0.00880684i
\(411\) −9.60501 + 5.54545i −0.473780 + 0.273537i
\(412\) −15.4869 −0.762987
\(413\) −9.18478 + 5.85467i −0.451953 + 0.288090i
\(414\) 7.46519i 0.366894i
\(415\) 6.43360 + 3.79659i 0.315813 + 0.186367i
\(416\) 1.49682 + 0.864188i 0.0733875 + 0.0423703i
\(417\) −7.52158 + 13.0278i −0.368334 + 0.637972i
\(418\) 1.33109 0.895272i 0.0651058 0.0437892i
\(419\) 31.1314i 1.52087i 0.649414 + 0.760435i \(0.275014\pi\)
−0.649414 + 0.760435i \(0.724986\pi\)
\(420\) −2.96816 + 5.57503i −0.144831 + 0.272034i
\(421\) −40.0971 −1.95421 −0.977107 0.212748i \(-0.931759\pi\)
−0.977107 + 0.212748i \(0.931759\pi\)
\(422\) 6.02376 3.47782i 0.293232 0.169298i
\(423\) −3.38256 + 5.85876i −0.164466 + 0.284863i
\(424\) 9.24141 + 5.33553i 0.448803 + 0.259116i
\(425\) 0.147184 7.72621i 0.00713949 0.374776i
\(426\) −7.34006 −0.355627
\(427\) 3.03166 0.133148i 0.146713 0.00644347i
\(428\) 0.648640 0.0313532
\(429\) 3.41544 + 5.07808i 0.164899 + 0.245172i
\(430\) −3.60618 0.0343458i −0.173905 0.00165630i
\(431\) 19.9486 + 11.5173i 0.960889 + 0.554769i 0.896446 0.443152i \(-0.146140\pi\)
0.0644422 + 0.997921i \(0.479473\pi\)
\(432\) −2.59437 4.49359i −0.124822 0.216198i
\(433\) −1.89828 −0.0912254 −0.0456127 0.998959i \(-0.514524\pi\)
−0.0456127 + 0.998959i \(0.514524\pi\)
\(434\) −11.4160 5.93908i −0.547987 0.285085i
\(435\) −3.39105 + 1.91500i −0.162588 + 0.0918170i
\(436\) 17.4081 10.0506i 0.833695 0.481334i
\(437\) −1.68093 0.970483i −0.0804096 0.0464245i
\(438\) −7.15015 4.12814i −0.341647 0.197250i
\(439\) 14.2518 + 24.6849i 0.680203 + 1.17815i 0.974919 + 0.222561i \(0.0714415\pi\)
−0.294716 + 0.955585i \(0.595225\pi\)
\(440\) −6.19293 + 4.08015i −0.295236 + 0.194514i
\(441\) 5.49717 11.8046i 0.261770 0.562124i
\(442\) −2.67124 −0.127058
\(443\) 15.9939 9.23408i 0.759893 0.438724i −0.0693646 0.997591i \(-0.522097\pi\)
0.829257 + 0.558867i \(0.188764\pi\)
\(444\) −1.94004 1.12008i −0.0920703 0.0531568i
\(445\) 0.159770 16.7753i 0.00757384 0.795225i
\(446\) 6.24404 + 10.8150i 0.295664 + 0.512105i
\(447\) 22.5504i 1.06660i
\(448\) −1.22107 + 2.34712i −0.0576900 + 0.110891i
\(449\) −13.9134 −0.656615 −0.328308 0.944571i \(-0.606478\pi\)
−0.328308 + 0.944571i \(0.606478\pi\)
\(450\) 9.29961 + 0.177158i 0.438388 + 0.00835129i
\(451\) 24.9457 + 12.2077i 1.17465 + 0.574840i
\(452\) 2.09799 + 1.21128i 0.0986812 + 0.0569736i
\(453\) −15.7828 + 9.11219i −0.741540 + 0.428128i
\(454\) 0.956062i 0.0448702i
\(455\) −8.67440 + 5.41386i −0.406662 + 0.253806i
\(456\) 0.516361 0.0241808
\(457\) 6.86004 + 11.8819i 0.320899 + 0.555814i 0.980674 0.195650i \(-0.0626816\pi\)
−0.659775 + 0.751464i \(0.729348\pi\)
\(458\) −19.5904 11.3105i −0.915400 0.528506i
\(459\) 6.94494 + 4.00966i 0.324162 + 0.187155i
\(460\) 7.72803 + 4.56046i 0.360321 + 0.212633i
\(461\) 18.8586 0.878334 0.439167 0.898406i \(-0.355274\pi\)
0.439167 + 0.898406i \(0.355274\pi\)
\(462\) −7.53649 + 5.56429i −0.350629 + 0.258874i
\(463\) 28.2350i 1.31219i 0.754677 + 0.656096i \(0.227793\pi\)
−0.754677 + 0.656096i \(0.772207\pi\)
\(464\) −1.41281 + 0.815686i −0.0655881 + 0.0378673i
\(465\) 0.110579 11.6104i 0.00512799 0.538420i
\(466\) 2.76095 4.78210i 0.127898 0.221527i
\(467\) −14.2257 24.6396i −0.658287 1.14019i −0.981059 0.193710i \(-0.937948\pi\)
0.322772 0.946477i \(-0.395385\pi\)
\(468\) 3.21523i 0.148624i
\(469\) 12.3935 7.90004i 0.572280 0.364790i
\(470\) 3.99865 + 7.08075i 0.184444 + 0.326611i
\(471\) −5.94730 10.3010i −0.274037 0.474646i
\(472\) −3.56527 2.05841i −0.164105 0.0947459i
\(473\) −4.80461 2.35124i −0.220916 0.108110i
\(474\) −9.23026 + 5.32910i −0.423960 + 0.244773i
\(475\) −1.24885 + 2.07095i −0.0573011 + 0.0950215i
\(476\) −0.179415 4.08513i −0.00822346 0.187242i
\(477\) 19.8509i 0.908912i
\(478\) −2.91024 + 1.68023i −0.133111 + 0.0768518i
\(479\) 17.7278 30.7054i 0.810002 1.40296i −0.102860 0.994696i \(-0.532799\pi\)
0.912862 0.408269i \(-0.133867\pi\)
\(480\) −2.38709 0.0227350i −0.108955 0.00103770i
\(481\) −1.81337 3.14084i −0.0826824 0.143210i
\(482\) 11.9106 0.542515
\(483\) 10.0556 + 5.23131i 0.457545 + 0.238033i
\(484\) −10.8970 + 1.50207i −0.495316 + 0.0682759i
\(485\) −7.94761 + 13.4678i −0.360882 + 0.611541i
\(486\) −7.80519 + 13.5190i −0.354050 + 0.613233i
\(487\) −9.99224 5.76902i −0.452792 0.261419i 0.256217 0.966619i \(-0.417524\pi\)
−0.709009 + 0.705200i \(0.750857\pi\)
\(488\) 0.573483 + 0.993302i 0.0259604 + 0.0449647i
\(489\) 20.6141i 0.932200i
\(490\) −8.86202 12.9021i −0.400345 0.582858i
\(491\) 42.4086i 1.91387i 0.290299 + 0.956936i \(0.406245\pi\)
−0.290299 + 0.956936i \(0.593755\pi\)
\(492\) 4.46986 + 7.74202i 0.201517 + 0.349037i
\(493\) 1.26066 2.18353i 0.0567773 0.0983412i
\(494\) 0.723967 + 0.417983i 0.0325728 + 0.0188059i
\(495\) 12.3335 + 6.18193i 0.554348 + 0.277857i
\(496\) 4.86384i 0.218393i
\(497\) 8.39530 16.1374i 0.376581 0.723860i
\(498\) 3.56661i 0.159824i
\(499\) 15.5619 + 26.9540i 0.696648 + 1.20663i 0.969622 + 0.244608i \(0.0786592\pi\)
−0.272975 + 0.962021i \(0.588007\pi\)
\(500\) 5.86449 9.51881i 0.262268 0.425694i
\(501\) −15.8836 9.17041i −0.709628 0.409704i
\(502\) 18.1397 10.4730i 0.809616 0.467432i
\(503\) 35.6351i 1.58889i −0.607335 0.794446i \(-0.707761\pi\)
0.607335 0.794446i \(-0.292239\pi\)
\(504\) 4.91704 0.215952i 0.219022 0.00961925i
\(505\) −2.34261 4.14826i −0.104245 0.184595i
\(506\) 7.42801 + 11.0440i 0.330215 + 0.490965i
\(507\) 5.34472 9.25733i 0.237367 0.411132i
\(508\) −8.47828 + 14.6848i −0.376163 + 0.651534i
\(509\) 7.10122 4.09989i 0.314756 0.181725i −0.334297 0.942468i \(-0.608499\pi\)
0.649053 + 0.760743i \(0.275165\pi\)
\(510\) 3.21259 1.81422i 0.142256 0.0803350i
\(511\) 17.2539 10.9982i 0.763269 0.486532i
\(512\) −1.00000 −0.0441942
\(513\) −1.25482 2.17342i −0.0554018 0.0959587i
\(514\) −5.95152 + 10.3083i −0.262510 + 0.454681i
\(515\) 34.6283 + 0.329805i 1.52590 + 0.0145329i
\(516\) −0.860905 1.49113i −0.0378992 0.0656434i
\(517\) 0.825439 + 12.0331i 0.0363028 + 0.529217i
\(518\) 4.68149 2.98413i 0.205693 0.131115i
\(519\) 0.747542i 0.0328135i
\(520\) −3.32843 1.96417i −0.145961 0.0861346i
\(521\) 9.95005 + 5.74466i 0.435919 + 0.251678i 0.701865 0.712310i \(-0.252351\pi\)
−0.265946 + 0.963988i \(0.585684\pi\)
\(522\) 2.62819 + 1.51739i 0.115033 + 0.0664143i
\(523\) −18.0993 + 10.4496i −0.791426 + 0.456930i −0.840464 0.541867i \(-0.817718\pi\)
0.0490385 + 0.998797i \(0.484384\pi\)
\(524\) 6.09600 0.266305
\(525\) 6.75543 12.4024i 0.294831 0.541284i
\(526\) −24.0659 −1.04932
\(527\) 3.75858 + 6.51006i 0.163727 + 0.283583i
\(528\) −3.18038 1.55639i −0.138408 0.0677331i
\(529\) −3.44797 + 5.97205i −0.149912 + 0.259655i
\(530\) −20.5499 12.1269i −0.892629 0.526758i
\(531\) 7.65834i 0.332344i
\(532\) −0.590595 + 1.13524i −0.0256055 + 0.0492187i
\(533\) 14.4730i 0.626896i
\(534\) 6.93647 4.00477i 0.300170 0.173304i
\(535\) −1.45034 0.0138132i −0.0627036 0.000597198i
\(536\) 4.81081 + 2.77752i 0.207796 + 0.119971i
\(537\) −7.08729 12.2755i −0.305839 0.529729i
\(538\) 29.5820i 1.27537i
\(539\) −3.61331 22.9335i −0.155636 0.987814i
\(540\) 5.70524 + 10.1028i 0.245514 + 0.434754i
\(541\) −3.66159 + 2.11402i −0.157424 + 0.0908887i −0.576642 0.816997i \(-0.695637\pi\)
0.419219 + 0.907885i \(0.362304\pi\)
\(542\) 7.35747 12.7435i 0.316030 0.547381i
\(543\) −10.1336 5.85064i −0.434875 0.251075i
\(544\) 1.33846 0.772761i 0.0573860 0.0331318i
\(545\) −39.1379 + 22.1020i −1.67648 + 0.946745i
\(546\) −4.33090 2.25310i −0.185345 0.0964240i
\(547\) −2.46701 −0.105482 −0.0527409 0.998608i \(-0.516796\pi\)
−0.0527409 + 0.998608i \(0.516796\pi\)
\(548\) 8.99694 5.19438i 0.384330 0.221893i
\(549\) 1.06683 1.84780i 0.0455311 0.0788621i
\(550\) 13.9341 8.99120i 0.594151 0.383386i
\(551\) −0.683335 + 0.394524i −0.0291111 + 0.0168073i
\(552\) 4.28421i 0.182348i
\(553\) −1.15895 26.3883i −0.0492834 1.12214i
\(554\) 32.8617 1.39616
\(555\) 4.31402 + 2.54578i 0.183120 + 0.108063i
\(556\) 7.04541 12.2030i 0.298792 0.517523i
\(557\) 19.2421 33.3282i 0.815313 1.41216i −0.0937905 0.995592i \(-0.529898\pi\)
0.909103 0.416571i \(-0.136768\pi\)
\(558\) −7.83580 + 4.52400i −0.331716 + 0.191516i
\(559\) 2.78754i 0.117900i
\(560\) 2.78025 5.22209i 0.117487 0.220674i
\(561\) 5.45953 0.374508i 0.230502 0.0158118i
\(562\) −11.8784 + 6.85799i −0.501060 + 0.289287i
\(563\) 4.29877 + 2.48190i 0.181171 + 0.104599i 0.587843 0.808975i \(-0.299977\pi\)
−0.406671 + 0.913574i \(0.633311\pi\)
\(564\) −1.94122 + 3.36229i −0.0817401 + 0.141578i
\(565\) −4.66524 2.75305i −0.196268 0.115822i
\(566\) 12.8780i 0.541303i
\(567\) −0.0587871 0.0922248i −0.00246883 0.00387308i
\(568\) 6.87538 0.288484
\(569\) 11.2085 6.47120i 0.469883 0.271287i −0.246308 0.969192i \(-0.579217\pi\)
0.716191 + 0.697905i \(0.245884\pi\)
\(570\) −1.15457 0.0109962i −0.0483594 0.000460582i
\(571\) −23.1404 13.3601i −0.968396 0.559104i −0.0696493 0.997572i \(-0.522188\pi\)
−0.898747 + 0.438468i \(0.855521\pi\)
\(572\) −3.19921 4.75659i −0.133766 0.198883i
\(573\) 15.4004 0.643362
\(574\) −22.1336 + 0.972084i −0.923837 + 0.0405740i
\(575\) −17.1825 10.3616i −0.716560 0.432109i
\(576\) 0.930129 + 1.61103i 0.0387554 + 0.0671263i
\(577\) 20.1579 34.9145i 0.839183 1.45351i −0.0513953 0.998678i \(-0.516367\pi\)
0.890578 0.454830i \(-0.150300\pi\)
\(578\) 7.30568 12.6538i 0.303876 0.526329i
\(579\) −3.84727 6.66366i −0.159887 0.276932i
\(580\) 3.17637 1.79376i 0.131891 0.0744819i
\(581\) −7.84132 4.07937i −0.325313 0.169241i
\(582\) −7.46618 −0.309483
\(583\) −19.7521 29.3674i −0.818047 1.21627i
\(584\) 6.69748 + 3.86679i 0.277144 + 0.160009i
\(585\) −0.0684704 + 7.18914i −0.00283090 + 0.297234i
\(586\) −2.26667 + 1.30866i −0.0936351 + 0.0540603i
\(587\) −16.9602 −0.700021 −0.350011 0.936746i \(-0.613822\pi\)
−0.350011 + 0.936746i \(0.613822\pi\)
\(588\) 3.15478 6.77456i 0.130101 0.279378i
\(589\) 2.35250i 0.0969330i
\(590\) 7.92799 + 4.67846i 0.326390 + 0.192609i
\(591\) −8.17399 + 14.1578i −0.336233 + 0.582372i
\(592\) 1.81722 + 1.04917i 0.0746874 + 0.0431208i
\(593\) 15.0377 8.68202i 0.617524 0.356528i −0.158380 0.987378i \(-0.550627\pi\)
0.775905 + 0.630850i \(0.217294\pi\)
\(594\) 1.17773 + 17.1688i 0.0483229 + 0.704444i
\(595\) 0.314170 + 9.13803i 0.0128797 + 0.374623i
\(596\) 21.1228i 0.865223i
\(597\) 15.6372 9.02813i 0.639987 0.369497i
\(598\) −3.46798 + 6.00671i −0.141816 + 0.245633i
\(599\) −14.1370 + 24.4860i −0.577621 + 1.00047i 0.418130 + 0.908387i \(0.362686\pi\)
−0.995751 + 0.0920820i \(0.970648\pi\)
\(600\) 5.33697 + 0.101669i 0.217881 + 0.00415063i
\(601\) −33.5631 −1.36907 −0.684534 0.728981i \(-0.739994\pi\)
−0.684534 + 0.728981i \(0.739994\pi\)
\(602\) 4.26297 0.187225i 0.173746 0.00763074i
\(603\) 10.3338i 0.420826i
\(604\) 14.7836 8.53532i 0.601536 0.347297i
\(605\) 24.3972 3.12652i 0.991888 0.127111i
\(606\) 1.13726 1.96980i 0.0461982 0.0800177i
\(607\) 16.6958 9.63932i 0.677661 0.391248i −0.121312 0.992614i \(-0.538710\pi\)
0.798973 + 0.601367i \(0.205377\pi\)
\(608\) −0.483671 −0.0196154
\(609\) 3.88565 2.47684i 0.157454 0.100367i
\(610\) −1.26114 2.23320i −0.0510619 0.0904197i
\(611\) −5.44341 + 3.14275i −0.220217 + 0.127142i
\(612\) −2.48988 1.43754i −0.100648 0.0581089i
\(613\) 17.0669 29.5607i 0.689325 1.19395i −0.282732 0.959199i \(-0.591241\pi\)
0.972057 0.234746i \(-0.0754260\pi\)
\(614\) 9.88826 5.70899i 0.399058 0.230396i
\(615\) −9.82958 17.4061i −0.396367 0.701881i
\(616\) 7.05937 5.21203i 0.284430 0.209999i
\(617\) 12.7295i 0.512469i 0.966615 + 0.256235i \(0.0824820\pi\)
−0.966615 + 0.256235i \(0.917518\pi\)
\(618\) 8.26682 + 14.3186i 0.332540 + 0.575977i
\(619\) 15.7044 + 9.06692i 0.631212 + 0.364430i 0.781221 0.624254i \(-0.214597\pi\)
−0.150009 + 0.988685i \(0.547930\pi\)
\(620\) −0.103579 + 10.8754i −0.00415982 + 0.436766i
\(621\) 18.0327 10.4112i 0.723628 0.417787i
\(622\) 27.1492i 1.08858i
\(623\) 0.870939 + 19.8306i 0.0348934 + 0.794495i
\(624\) 1.84519i 0.0738668i
\(625\) −13.3155 + 21.1588i −0.532621 + 0.846354i
\(626\) −14.2815 + 24.7363i −0.570804 + 0.988662i
\(627\) −1.53826 0.752780i −0.0614321 0.0300631i
\(628\) 5.57078 + 9.64888i 0.222298 + 0.385032i
\(629\) −3.24304 −0.129309
\(630\) −10.9989 + 0.378149i −0.438208 + 0.0150658i
\(631\) −9.75642 −0.388397 −0.194198 0.980962i \(-0.562211\pi\)
−0.194198 + 0.980962i \(0.562211\pi\)
\(632\) 8.64592 4.99172i 0.343916 0.198560i
\(633\) −6.43089 3.71288i −0.255605 0.147574i
\(634\) 11.7827 + 6.80274i 0.467950 + 0.270171i
\(635\) 19.2699 32.6542i 0.764702 1.29584i
\(636\) 11.3923i 0.451733i
\(637\) 9.90705 6.94460i 0.392531 0.275155i
\(638\) 5.39797 0.370285i 0.213708 0.0146597i
\(639\) −6.39499 11.0764i −0.252982 0.438177i
\(640\) 2.23597 + 0.0212957i 0.0883843 + 0.000841785i
\(641\) 5.88659 10.1959i 0.232506 0.402713i −0.726039 0.687654i \(-0.758641\pi\)
0.958545 + 0.284941i \(0.0919740\pi\)
\(642\) −0.346240 0.599705i −0.0136650 0.0236685i
\(643\) 44.3171 1.74769 0.873847 0.486200i \(-0.161618\pi\)
0.873847 + 0.486200i \(0.161618\pi\)
\(644\) −9.41898 4.90013i −0.371160 0.193092i
\(645\) 1.89320 + 3.35245i 0.0745447 + 0.132003i
\(646\) 0.647375 0.373762i 0.0254706 0.0147055i
\(647\) −13.5518 + 23.4725i −0.532778 + 0.922799i 0.466489 + 0.884527i \(0.345519\pi\)
−0.999267 + 0.0382719i \(0.987815\pi\)
\(648\) 0.0206686 0.0357991i 0.000811939 0.00140632i
\(649\) 7.62020 + 11.3297i 0.299119 + 0.444730i
\(650\) 7.40043 + 4.46270i 0.290269 + 0.175042i
\(651\) 0.602789 + 13.7250i 0.0236252 + 0.537926i
\(652\) 19.3090i 0.756200i
\(653\) −1.27592 + 0.736655i −0.0499308 + 0.0288275i −0.524758 0.851252i \(-0.675844\pi\)
0.474827 + 0.880079i \(0.342511\pi\)
\(654\) −18.5846 10.7298i −0.726716 0.419570i
\(655\) −13.6305 0.129818i −0.532586 0.00507242i
\(656\) −4.18688 7.25189i −0.163470 0.283139i
\(657\) 14.3865i 0.561270i
\(658\) −5.17181 8.11351i −0.201618 0.316297i
\(659\) 22.0024i 0.857092i −0.903520 0.428546i \(-0.859026\pi\)
0.903520 0.428546i \(-0.140974\pi\)
\(660\) 7.07808 + 3.54776i 0.275514 + 0.138096i
\(661\) −8.51176 4.91427i −0.331069 0.191143i 0.325247 0.945629i \(-0.394553\pi\)
−0.656316 + 0.754486i \(0.727886\pi\)
\(662\) −9.39302 + 16.2692i −0.365070 + 0.632320i
\(663\) 1.42589 + 2.46972i 0.0553771 + 0.0959159i
\(664\) 3.34082i 0.129649i
\(665\) 1.34473 2.52577i 0.0521462 0.0979453i
\(666\) 3.90347i 0.151256i
\(667\) −3.27334 5.66959i −0.126744 0.219527i
\(668\) 14.8781 + 8.58985i 0.575649 + 0.332351i
\(669\) 6.66606 11.5460i 0.257725 0.446392i
\(670\) −10.6977 6.31290i −0.413287 0.243889i
\(671\) −0.260336 3.79514i −0.0100502 0.146510i
\(672\) 2.82185 0.123933i 0.108855 0.00478081i
\(673\) −38.5769 −1.48703 −0.743515 0.668719i \(-0.766843\pi\)
−0.743515 + 0.668719i \(0.766843\pi\)
\(674\) −0.932466 1.61508i −0.0359172 0.0622105i
\(675\) −12.5416 22.7109i −0.482726 0.874144i
\(676\) −5.00636 + 8.67126i −0.192552 + 0.333510i
\(677\) −28.3508 + 16.3683i −1.08961 + 0.629086i −0.933472 0.358649i \(-0.883237\pi\)
−0.156137 + 0.987735i \(0.549904\pi\)
\(678\) 2.58628i 0.0993257i
\(679\) 8.53955 16.4147i 0.327718 0.629937i
\(680\) −3.00921 + 1.69936i −0.115398 + 0.0651676i
\(681\) 0.883934 0.510339i 0.0338724 0.0195563i
\(682\) −7.09078 + 14.4896i −0.271520 + 0.554834i
\(683\) −10.5298 6.07940i −0.402913 0.232622i 0.284827 0.958579i \(-0.408064\pi\)
−0.687740 + 0.725957i \(0.741397\pi\)
\(684\) 0.449877 + 0.779209i 0.0172015 + 0.0297938i
\(685\) −20.2275 + 11.4229i −0.772852 + 0.436445i
\(686\) 11.2858 + 14.6844i 0.430893 + 0.560653i
\(687\) 24.1499i 0.921378i
\(688\) 0.806403 + 1.39673i 0.0307438 + 0.0532499i
\(689\) 9.22181 15.9726i 0.351323 0.608509i
\(690\) 0.0912352 9.57935i 0.00347326 0.364680i
\(691\) −16.7472 + 9.66903i −0.637095 + 0.367827i −0.783495 0.621398i \(-0.786565\pi\)
0.146399 + 0.989226i \(0.453232\pi\)
\(692\) 0.700217i 0.0266182i
\(693\) −14.9629 6.52501i −0.568392 0.247865i
\(694\) −10.1184 −0.384091
\(695\) −16.0132 + 27.1355i −0.607414 + 1.02931i
\(696\) 1.50830 + 0.870816i 0.0571719 + 0.0330082i
\(697\) 11.2080 + 6.47092i 0.424532 + 0.245103i
\(698\) 2.32852 + 4.03312i 0.0881358 + 0.152656i
\(699\) −5.89510 −0.222973
\(700\) −6.32775 + 11.6172i −0.239167 + 0.439089i
\(701\) 42.5093i 1.60556i 0.596279 + 0.802778i \(0.296645\pi\)
−0.596279 + 0.802778i \(0.703355\pi\)
\(702\) −7.76661 + 4.48406i −0.293132 + 0.169240i
\(703\) 0.878938 + 0.507455i 0.0331498 + 0.0191390i
\(704\) 2.97904 + 1.45786i 0.112277 + 0.0549450i
\(705\) 4.41211 7.47664i 0.166170 0.281586i
\(706\) −31.9385 −1.20202
\(707\) 3.02991 + 4.75330i 0.113951 + 0.178766i
\(708\) 4.39506i 0.165176i
\(709\) −16.0460 27.7925i −0.602620 1.04377i −0.992423 0.122870i \(-0.960790\pi\)
0.389803 0.920898i \(-0.372543\pi\)
\(710\) −15.3731 0.146416i −0.576943 0.00549489i
\(711\) −16.0836 9.28589i −0.603184 0.348248i
\(712\) −6.49734 + 3.75124i −0.243498 + 0.140584i
\(713\) 19.5185 0.730974
\(714\) −3.68116 + 2.34649i −0.137764 + 0.0878153i
\(715\) 7.05204 + 10.7037i 0.263731 + 0.400296i
\(716\) 6.63861 + 11.4984i 0.248096 + 0.429716i
\(717\) 3.10693 + 1.79379i 0.116031 + 0.0669903i
\(718\) −15.3645 8.87070i −0.573398 0.331052i
\(719\) 32.9162 19.0042i 1.22757 0.708736i 0.261046 0.965326i \(-0.415933\pi\)
0.966520 + 0.256591i \(0.0825993\pi\)
\(720\) −2.04543 3.62202i −0.0762287 0.134985i
\(721\) −40.9351 + 1.79783i −1.52450 + 0.0669547i
\(722\) 18.7661 0.698401
\(723\) −6.35782 11.0121i −0.236450 0.409543i
\(724\) 9.49207 + 5.48025i 0.352770 + 0.203672i
\(725\) −7.14045 + 3.94315i −0.265190 + 0.146445i
\(726\) 7.20548 + 9.27307i 0.267420 + 0.344156i
\(727\) −34.4594 −1.27803 −0.639013 0.769196i \(-0.720657\pi\)
−0.639013 + 0.769196i \(0.720657\pi\)
\(728\) 4.05672 + 2.11046i 0.150352 + 0.0782190i
\(729\) 16.5414 0.612645
\(730\) −14.8930 8.78865i −0.551215 0.325283i
\(731\) −2.15868 1.24631i −0.0798416 0.0460966i
\(732\) 0.612243 1.06044i 0.0226292 0.0391948i
\(733\) −2.49290 + 1.43927i −0.0920772 + 0.0531608i −0.545332 0.838220i \(-0.683596\pi\)
0.453254 + 0.891381i \(0.350263\pi\)
\(734\) 9.02129 0.332982
\(735\) −7.19826 + 15.0805i −0.265512 + 0.556253i
\(736\) 4.01299i 0.147921i
\(737\) −10.2824 15.2878i −0.378756 0.563134i
\(738\) −7.78868 + 13.4904i −0.286705 + 0.496588i
\(739\) 15.8781 + 9.16725i 0.584087 + 0.337223i 0.762756 0.646687i \(-0.223846\pi\)
−0.178669 + 0.983909i \(0.557179\pi\)
\(740\) −4.04090 2.38462i −0.148547 0.0876602i
\(741\) 0.892466i 0.0327856i
\(742\) 25.0463 + 13.0301i 0.919479 + 0.478350i
\(743\) −11.1230 −0.408063 −0.204032 0.978964i \(-0.565405\pi\)
−0.204032 + 0.978964i \(0.565405\pi\)
\(744\) −4.49690 + 2.59629i −0.164864 + 0.0951844i
\(745\) −0.449824 + 47.2299i −0.0164803 + 1.73037i
\(746\) −11.6611 + 20.1977i −0.426945 + 0.739490i
\(747\) −5.38216 + 3.10739i −0.196923 + 0.113694i
\(748\) −5.11390 + 0.350799i −0.186983 + 0.0128265i
\(749\) 1.71449 0.0752986i 0.0626460 0.00275135i
\(750\) −11.9311 0.340983i −0.435663 0.0124510i
\(751\) −21.0857 36.5215i −0.769429 1.33269i −0.937873 0.346979i \(-0.887208\pi\)
0.168444 0.985711i \(-0.446126\pi\)
\(752\) 1.81833 3.14943i 0.0663075 0.114848i
\(753\) −19.3657 11.1808i −0.705727 0.407452i
\(754\) 1.40981 + 2.44187i 0.0513424 + 0.0889276i
\(755\) −33.2374 + 18.7699i −1.20963 + 0.683105i
\(756\) −7.37910 11.5763i −0.268375 0.421026i
\(757\) 1.63573i 0.0594518i −0.999558 0.0297259i \(-0.990537\pi\)
0.999558 0.0297259i \(-0.00946343\pi\)
\(758\) −4.77003 8.26194i −0.173255 0.300087i
\(759\) 6.24576 12.7628i 0.226707 0.463261i
\(760\) 1.08147 + 0.0103001i 0.0392291 + 0.000373624i
\(761\) −3.43564 5.95071i −0.124542 0.215713i 0.797012 0.603964i \(-0.206413\pi\)
−0.921554 + 0.388251i \(0.873079\pi\)
\(762\) 18.1026 0.655788
\(763\) 44.8463 28.5865i 1.62355 1.03490i
\(764\) −14.4255 −0.521894
\(765\) 5.53668 + 3.26730i 0.200179 + 0.118130i
\(766\) −10.7286 + 18.5824i −0.387639 + 0.671410i
\(767\) −3.55771 + 6.16213i −0.128461 + 0.222502i
\(768\) 0.533793 + 0.924557i 0.0192616 + 0.0333621i
\(769\) 13.3033 0.479731 0.239865 0.970806i \(-0.422897\pi\)
0.239865 + 0.970806i \(0.422897\pi\)
\(770\) −15.8955 + 11.5036i −0.572835 + 0.414561i
\(771\) 12.7075 0.457650
\(772\) 3.60370 + 6.24180i 0.129700 + 0.224647i
\(773\) −20.3690 + 35.2802i −0.732624 + 1.26894i 0.223135 + 0.974788i \(0.428371\pi\)
−0.955758 + 0.294154i \(0.904962\pi\)
\(774\)