Properties

Label 770.2.o.a.549.11
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 549.11
Character \(\chi\) \(=\) 770.549
Dual form 770.2.o.a.439.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.340512 + 0.589784i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.37482 + 1.76348i) q^{5} +0.681024 q^{6} +(2.52726 + 0.782908i) q^{7} +1.00000 q^{8} +(1.26810 + 2.19642i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.340512 + 0.589784i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.37482 + 1.76348i) q^{5} +0.681024 q^{6} +(2.52726 + 0.782908i) q^{7} +1.00000 q^{8} +(1.26810 + 2.19642i) q^{9} +(0.839811 - 2.07237i) q^{10} +(-3.24014 + 0.708161i) q^{11} +(-0.340512 - 0.589784i) q^{12} +2.05099i q^{13} +(-0.585613 - 2.58013i) q^{14} +(-1.50822 + 0.210360i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.89411 + 1.67092i) q^{17} +(1.26810 - 2.19642i) q^{18} +(-2.31422 - 4.00835i) q^{19} +(-2.21463 + 0.308888i) q^{20} +(-1.32231 + 1.22395i) q^{21} +(2.23336 + 2.45196i) q^{22} +(-2.24798 + 1.29787i) q^{23} +(-0.340512 + 0.589784i) q^{24} +(-1.21974 + 4.84894i) q^{25} +(1.77621 - 1.02549i) q^{26} -3.77029 q^{27} +(-1.94165 + 1.79722i) q^{28} -0.208603i q^{29} +(0.936285 + 1.20097i) q^{30} +(-7.69058 - 4.44016i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(0.685645 - 2.15212i) q^{33} -3.34183i q^{34} +(2.09389 + 5.53314i) q^{35} -2.53621 q^{36} +(3.14069 - 1.81328i) q^{37} +(-2.31422 + 4.00835i) q^{38} +(-1.20964 - 0.698386i) q^{39} +(1.37482 + 1.76348i) q^{40} -6.23454 q^{41} +(1.72113 + 0.533179i) q^{42} +6.55137 q^{43} +(1.00678 - 3.16012i) q^{44} +(-2.12993 + 5.25596i) q^{45} +(2.24798 + 1.29787i) q^{46} +(6.57571 + 11.3895i) q^{47} +0.681024 q^{48} +(5.77411 + 3.95723i) q^{49} +(4.80918 - 1.36814i) q^{50} +(-1.97096 + 1.13793i) q^{51} +(-1.77621 - 1.02549i) q^{52} +(-3.20093 - 1.84806i) q^{53} +(1.88514 + 3.26517i) q^{54} +(-5.70344 - 4.74034i) q^{55} +(2.52726 + 0.782908i) q^{56} +3.15208 q^{57} +(-0.180656 + 0.104302i) q^{58} +(4.99271 + 2.88254i) q^{59} +(0.571931 - 1.41133i) q^{60} +(5.38616 + 9.32910i) q^{61} +8.88032i q^{62} +(1.48523 + 6.54374i) q^{63} +1.00000 q^{64} +(-3.61688 + 2.81974i) q^{65} +(-2.20661 + 0.482275i) q^{66} +(-1.44891 - 0.836530i) q^{67} +(-2.89411 + 1.67092i) q^{68} -1.76777i q^{69} +(3.74490 - 4.57993i) q^{70} +5.74537 q^{71} +(1.26810 + 2.19642i) q^{72} +(-6.62663 - 3.82589i) q^{73} +(-3.14069 - 1.81328i) q^{74} +(-2.44449 - 2.37051i) q^{75} +4.62844 q^{76} +(-8.74311 - 0.747023i) q^{77} +1.39677i q^{78} +(13.3578 - 7.71215i) q^{79} +(0.839811 - 2.07237i) q^{80} +(-2.52048 + 4.36560i) q^{81} +(3.11727 + 5.39927i) q^{82} +1.84746i q^{83} +(-0.398816 - 1.75713i) q^{84} +(1.03225 + 7.40093i) q^{85} +(-3.27568 - 5.67365i) q^{86} +(0.123031 + 0.0710319i) q^{87} +(-3.24014 + 0.708161i) q^{88} +(15.0268 - 8.67572i) q^{89} +(5.61676 - 0.783403i) q^{90} +(-1.60574 + 5.18339i) q^{91} -2.59575i q^{92} +(5.23747 - 3.02386i) q^{93} +(6.57571 - 11.3895i) q^{94} +(3.88702 - 9.59185i) q^{95} +(-0.340512 - 0.589784i) q^{96} +5.95329 q^{97} +(0.540006 - 6.97914i) q^{98} +(-5.66425 - 6.21868i) 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
\(3\) −0.340512 + 0.589784i −0.196595 + 0.340512i −0.947422 0.319986i \(-0.896322\pi\)
0.750827 + 0.660498i \(0.229655\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 1.37482 + 1.76348i 0.614838 + 0.788653i
\(6\) 0.681024 0.278027
\(7\) 2.52726 + 0.782908i 0.955215 + 0.295911i
\(8\) 1.00000 0.353553
\(9\) 1.26810 + 2.19642i 0.422701 + 0.732140i
\(10\) 0.839811 2.07237i 0.265571 0.655341i
\(11\) −3.24014 + 0.708161i −0.976939 + 0.213519i
\(12\) −0.340512 0.589784i −0.0982973 0.170256i
\(13\) 2.05099i 0.568842i 0.958699 + 0.284421i \(0.0918013\pi\)
−0.958699 + 0.284421i \(0.908199\pi\)
\(14\) −0.585613 2.58013i −0.156512 0.689568i
\(15\) −1.50822 + 0.210360i −0.389420 + 0.0543147i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 2.89411 + 1.67092i 0.701925 + 0.405257i 0.808064 0.589095i \(-0.200515\pi\)
−0.106139 + 0.994351i \(0.533849\pi\)
\(18\) 1.26810 2.19642i 0.298895 0.517701i
\(19\) −2.31422 4.00835i −0.530919 0.919578i −0.999349 0.0360778i \(-0.988514\pi\)
0.468430 0.883501i \(-0.344820\pi\)
\(20\) −2.21463 + 0.308888i −0.495206 + 0.0690694i
\(21\) −1.32231 + 1.22395i −0.288552 + 0.267088i
\(22\) 2.23336 + 2.45196i 0.476153 + 0.522760i
\(23\) −2.24798 + 1.29787i −0.468737 + 0.270625i −0.715711 0.698397i \(-0.753897\pi\)
0.246974 + 0.969022i \(0.420564\pi\)
\(24\) −0.340512 + 0.589784i −0.0695067 + 0.120389i
\(25\) −1.21974 + 4.84894i −0.243948 + 0.969788i
\(26\) 1.77621 1.02549i 0.348343 0.201116i
\(27\) −3.77029 −0.725593
\(28\) −1.94165 + 1.79722i −0.366937 + 0.339643i
\(29\) 0.208603i 0.0387366i −0.999812 0.0193683i \(-0.993834\pi\)
0.999812 0.0193683i \(-0.00616551\pi\)
\(30\) 0.936285 + 1.20097i 0.170942 + 0.219267i
\(31\) −7.69058 4.44016i −1.38127 0.797476i −0.388960 0.921255i \(-0.627165\pi\)
−0.992310 + 0.123778i \(0.960499\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 0.685645 2.15212i 0.119355 0.374636i
\(34\) 3.34183i 0.573120i
\(35\) 2.09389 + 5.53314i 0.353931 + 0.935271i
\(36\) −2.53621 −0.422701
\(37\) 3.14069 1.81328i 0.516326 0.298101i −0.219104 0.975702i \(-0.570313\pi\)
0.735430 + 0.677600i \(0.236980\pi\)
\(38\) −2.31422 + 4.00835i −0.375416 + 0.650240i
\(39\) −1.20964 0.698386i −0.193697 0.111831i
\(40\) 1.37482 + 1.76348i 0.217378 + 0.278831i
\(41\) −6.23454 −0.973671 −0.486836 0.873494i \(-0.661849\pi\)
−0.486836 + 0.873494i \(0.661849\pi\)
\(42\) 1.72113 + 0.533179i 0.265576 + 0.0822713i
\(43\) 6.55137 0.999074 0.499537 0.866292i \(-0.333503\pi\)
0.499537 + 0.866292i \(0.333503\pi\)
\(44\) 1.00678 3.16012i 0.151778 0.476407i
\(45\) −2.12993 + 5.25596i −0.317512 + 0.783512i
\(46\) 2.24798 + 1.29787i 0.331447 + 0.191361i
\(47\) 6.57571 + 11.3895i 0.959166 + 1.66132i 0.724533 + 0.689240i \(0.242056\pi\)
0.234633 + 0.972084i \(0.424611\pi\)
\(48\) 0.681024 0.0982973
\(49\) 5.77411 + 3.95723i 0.824873 + 0.565318i
\(50\) 4.80918 1.36814i 0.680120 0.193485i
\(51\) −1.97096 + 1.13793i −0.275990 + 0.159343i
\(52\) −1.77621 1.02549i −0.246316 0.142210i
\(53\) −3.20093 1.84806i −0.439682 0.253850i 0.263781 0.964583i \(-0.415030\pi\)
−0.703463 + 0.710732i \(0.748364\pi\)
\(54\) 1.88514 + 3.26517i 0.256536 + 0.444333i
\(55\) −5.70344 4.74034i −0.769052 0.639187i
\(56\) 2.52726 + 0.782908i 0.337720 + 0.104620i
\(57\) 3.15208 0.417503
\(58\) −0.180656 + 0.104302i −0.0237213 + 0.0136955i
\(59\) 4.99271 + 2.88254i 0.649995 + 0.375275i 0.788454 0.615093i \(-0.210882\pi\)
−0.138459 + 0.990368i \(0.544215\pi\)
\(60\) 0.571931 1.41133i 0.0738360 0.182202i
\(61\) 5.38616 + 9.32910i 0.689627 + 1.19447i 0.971959 + 0.235152i \(0.0755589\pi\)
−0.282331 + 0.959317i \(0.591108\pi\)
\(62\) 8.88032i 1.12780i
\(63\) 1.48523 + 6.54374i 0.187122 + 0.824433i
\(64\) 1.00000 0.125000
\(65\) −3.61688 + 2.81974i −0.448619 + 0.349746i
\(66\) −2.20661 + 0.482275i −0.271615 + 0.0593639i
\(67\) −1.44891 0.836530i −0.177013 0.102198i 0.408876 0.912590i \(-0.365921\pi\)
−0.585888 + 0.810392i \(0.699254\pi\)
\(68\) −2.89411 + 1.67092i −0.350963 + 0.202628i
\(69\) 1.76777i 0.212814i
\(70\) 3.74490 4.57993i 0.447601 0.547406i
\(71\) 5.74537 0.681850 0.340925 0.940091i \(-0.389260\pi\)
0.340925 + 0.940091i \(0.389260\pi\)
\(72\) 1.26810 + 2.19642i 0.149447 + 0.258850i
\(73\) −6.62663 3.82589i −0.775589 0.447786i 0.0592759 0.998242i \(-0.481121\pi\)
−0.834865 + 0.550455i \(0.814454\pi\)
\(74\) −3.14069 1.81328i −0.365098 0.210789i
\(75\) −2.44449 2.37051i −0.282266 0.273722i
\(76\) 4.62844 0.530919
\(77\) −8.74311 0.747023i −0.996370 0.0851312i
\(78\) 1.39677i 0.158153i
\(79\) 13.3578 7.71215i 1.50287 0.867685i 0.502880 0.864356i \(-0.332274\pi\)
0.999994 0.00332822i \(-0.00105941\pi\)
\(80\) 0.839811 2.07237i 0.0938937 0.231698i
\(81\) −2.52048 + 4.36560i −0.280053 + 0.485067i
\(82\) 3.11727 + 5.39927i 0.344245 + 0.596250i
\(83\) 1.84746i 0.202785i 0.994846 + 0.101393i \(0.0323298\pi\)
−0.994846 + 0.101393i \(0.967670\pi\)
\(84\) −0.398816 1.75713i −0.0435144 0.191718i
\(85\) 1.03225 + 7.40093i 0.111963 + 0.802743i
\(86\) −3.27568 5.67365i −0.353226 0.611806i
\(87\) 0.123031 + 0.0710319i 0.0131903 + 0.00761542i
\(88\) −3.24014 + 0.708161i −0.345400 + 0.0754902i
\(89\) 15.0268 8.67572i 1.59284 0.919624i 0.600018 0.799986i \(-0.295160\pi\)
0.992818 0.119638i \(-0.0381733\pi\)
\(90\) 5.61676 0.783403i 0.592058 0.0825779i
\(91\) −1.60574 + 5.18339i −0.168327 + 0.543367i
\(92\) 2.59575i 0.270625i
\(93\) 5.23747 3.02386i 0.543101 0.313559i
\(94\) 6.57571 11.3895i 0.678233 1.17473i
\(95\) 3.88702 9.59185i 0.398799 0.984103i
\(96\) −0.340512 0.589784i −0.0347534 0.0601946i
\(97\) 5.95329 0.604465 0.302233 0.953234i \(-0.402268\pi\)
0.302233 + 0.953234i \(0.402268\pi\)
\(98\) 0.540006 6.97914i 0.0545488 0.705000i
\(99\) −5.66425 6.21868i −0.569279 0.625001i
\(100\) −3.58944 3.48080i −0.358944 0.348080i
\(101\) −2.30017 + 3.98401i −0.228876 + 0.396424i −0.957475 0.288516i \(-0.906838\pi\)
0.728600 + 0.684940i \(0.240172\pi\)
\(102\) 1.97096 + 1.13793i 0.195154 + 0.112672i
\(103\) −2.02004 3.49881i −0.199040 0.344748i 0.749177 0.662369i \(-0.230449\pi\)
−0.948217 + 0.317622i \(0.897116\pi\)
\(104\) 2.05099i 0.201116i
\(105\) −3.97635 0.649160i −0.388052 0.0633515i
\(106\) 3.69612i 0.358999i
\(107\) −4.80623 8.32464i −0.464636 0.804773i 0.534549 0.845138i \(-0.320482\pi\)
−0.999185 + 0.0403642i \(0.987148\pi\)
\(108\) 1.88514 3.26517i 0.181398 0.314191i
\(109\) −15.1014 8.71882i −1.44646 0.835112i −0.448188 0.893939i \(-0.647930\pi\)
−0.998268 + 0.0588278i \(0.981264\pi\)
\(110\) −1.25353 + 7.30949i −0.119520 + 0.696933i
\(111\) 2.46977i 0.234420i
\(112\) −0.585613 2.58013i −0.0553352 0.243799i
\(113\) 10.5976i 0.996934i 0.866909 + 0.498467i \(0.166104\pi\)
−0.866909 + 0.498467i \(0.833896\pi\)
\(114\) −1.57604 2.72978i −0.147610 0.255668i
\(115\) −5.37935 2.17994i −0.501627 0.203280i
\(116\) 0.180656 + 0.104302i 0.0167735 + 0.00968416i
\(117\) −4.50483 + 2.60087i −0.416472 + 0.240450i
\(118\) 5.76508i 0.530719i
\(119\) 6.00601 + 6.48867i 0.550570 + 0.594815i
\(120\) −1.50822 + 0.210360i −0.137681 + 0.0192032i
\(121\) 9.99702 4.58908i 0.908820 0.417189i
\(122\) 5.38616 9.32910i 0.487640 0.844617i
\(123\) 2.12294 3.67703i 0.191419 0.331547i
\(124\) 7.69058 4.44016i 0.690635 0.398738i
\(125\) −10.2279 + 4.51543i −0.914815 + 0.403872i
\(126\) 4.92442 4.55812i 0.438703 0.406070i
\(127\) −12.3526 −1.09612 −0.548059 0.836440i \(-0.684633\pi\)
−0.548059 + 0.836440i \(0.684633\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −2.23082 + 3.86389i −0.196413 + 0.340197i
\(130\) 4.25041 + 1.72244i 0.372785 + 0.151068i
\(131\) 3.55442 + 6.15643i 0.310551 + 0.537890i 0.978482 0.206333i \(-0.0661532\pi\)
−0.667931 + 0.744223i \(0.732820\pi\)
\(132\) 1.52097 + 1.66985i 0.132383 + 0.145341i
\(133\) −2.71048 11.9420i −0.235028 1.03550i
\(134\) 1.67306i 0.144530i
\(135\) −5.18347 6.64884i −0.446122 0.572241i
\(136\) 2.89411 + 1.67092i 0.248168 + 0.143280i
\(137\) 16.1860 + 9.34499i 1.38286 + 0.798397i 0.992498 0.122263i \(-0.0390153\pi\)
0.390366 + 0.920660i \(0.372349\pi\)
\(138\) −1.53093 + 0.883883i −0.130322 + 0.0752412i
\(139\) −19.6113 −1.66341 −0.831706 0.555216i \(-0.812636\pi\)
−0.831706 + 0.555216i \(0.812636\pi\)
\(140\) −5.83878 0.953212i −0.493467 0.0805611i
\(141\) −8.95643 −0.754268
\(142\) −2.87268 4.97564i −0.241070 0.417546i
\(143\) −1.45243 6.64549i −0.121458 0.555724i
\(144\) 1.26810 2.19642i 0.105675 0.183035i
\(145\) 0.367868 0.286792i 0.0305498 0.0238168i
\(146\) 7.65178i 0.633266i
\(147\) −4.30006 + 2.05799i −0.354663 + 0.169741i
\(148\) 3.62656i 0.298101i
\(149\) 4.37001 2.52303i 0.358005 0.206694i −0.310200 0.950671i \(-0.600396\pi\)
0.668205 + 0.743977i \(0.267063\pi\)
\(150\) −0.830673 + 3.30225i −0.0678241 + 0.269627i
\(151\) 2.05768 + 1.18800i 0.167452 + 0.0966784i 0.581384 0.813629i \(-0.302512\pi\)
−0.413932 + 0.910308i \(0.635845\pi\)
\(152\) −2.31422 4.00835i −0.187708 0.325120i
\(153\) 8.47558i 0.685210i
\(154\) 3.72461 + 7.94527i 0.300138 + 0.640248i
\(155\) −2.74302 19.6666i −0.220325 1.57966i
\(156\) 1.20964 0.698386i 0.0968487 0.0559157i
\(157\) −0.279611 + 0.484300i −0.0223154 + 0.0386513i −0.876967 0.480550i \(-0.840437\pi\)
0.854652 + 0.519201i \(0.173770\pi\)
\(158\) −13.3578 7.71215i −1.06269 0.613546i
\(159\) 2.17991 1.25857i 0.172878 0.0998113i
\(160\) −2.21463 + 0.308888i −0.175082 + 0.0244197i
\(161\) −6.69736 + 1.52010i −0.527826 + 0.119801i
\(162\) 5.04096 0.396055
\(163\) 19.0284 10.9861i 1.49042 0.860495i 0.490481 0.871452i \(-0.336821\pi\)
0.999940 + 0.0109567i \(0.00348771\pi\)
\(164\) 3.11727 5.39927i 0.243418 0.421612i
\(165\) 4.73786 1.74966i 0.368842 0.136211i
\(166\) 1.59995 0.923730i 0.124180 0.0716954i
\(167\) 10.5810i 0.818786i 0.912358 + 0.409393i \(0.134259\pi\)
−0.912358 + 0.409393i \(0.865741\pi\)
\(168\) −1.32231 + 1.22395i −0.102018 + 0.0944298i
\(169\) 8.79345 0.676419
\(170\) 5.89326 4.59442i 0.451993 0.352376i
\(171\) 5.86934 10.1660i 0.448840 0.777413i
\(172\) −3.27568 + 5.67365i −0.249769 + 0.432612i
\(173\) −3.43353 + 1.98235i −0.261046 + 0.150715i −0.624812 0.780775i \(-0.714824\pi\)
0.363766 + 0.931491i \(0.381491\pi\)
\(174\) 0.142064i 0.0107698i
\(175\) −6.87888 + 11.2996i −0.519994 + 0.854170i
\(176\) 2.23336 + 2.45196i 0.168346 + 0.184824i
\(177\) −3.40015 + 1.96308i −0.255571 + 0.147554i
\(178\) −15.0268 8.67572i −1.12630 0.650272i
\(179\) −0.740004 + 1.28173i −0.0553105 + 0.0958006i −0.892355 0.451334i \(-0.850948\pi\)
0.837044 + 0.547135i \(0.184282\pi\)
\(180\) −3.48683 4.47256i −0.259893 0.333365i
\(181\) 10.8158i 0.803935i 0.915654 + 0.401967i \(0.131674\pi\)
−0.915654 + 0.401967i \(0.868326\pi\)
\(182\) 5.29181 1.20109i 0.392255 0.0890304i
\(183\) −7.33621 −0.542308
\(184\) −2.24798 + 1.29787i −0.165724 + 0.0956806i
\(185\) 7.51557 + 3.04562i 0.552556 + 0.223919i
\(186\) −5.23747 3.02386i −0.384030 0.221720i
\(187\) −10.5606 3.36451i −0.772268 0.246037i
\(188\) −13.1514 −0.959166
\(189\) −9.52851 2.95179i −0.693097 0.214711i
\(190\) −10.2503 + 1.42967i −0.743634 + 0.103719i
\(191\) −8.82641 15.2878i −0.638657 1.10619i −0.985728 0.168347i \(-0.946157\pi\)
0.347071 0.937839i \(-0.387176\pi\)
\(192\) −0.340512 + 0.589784i −0.0245743 + 0.0425640i
\(193\) 10.8787 18.8425i 0.783066 1.35631i −0.147081 0.989124i \(-0.546988\pi\)
0.930147 0.367186i \(-0.119679\pi\)
\(194\) −2.97665 5.15570i −0.213711 0.370158i
\(195\) −0.431446 3.09334i −0.0308965 0.221518i
\(196\) −6.31412 + 3.02191i −0.451008 + 0.215851i
\(197\) −3.55637 −0.253381 −0.126690 0.991942i \(-0.540435\pi\)
−0.126690 + 0.991942i \(0.540435\pi\)
\(198\) −2.55341 + 8.01473i −0.181463 + 0.569582i
\(199\) −9.05521 5.22803i −0.641907 0.370605i 0.143442 0.989659i \(-0.454183\pi\)
−0.785349 + 0.619054i \(0.787516\pi\)
\(200\) −1.21974 + 4.84894i −0.0862487 + 0.342872i
\(201\) 0.986744 0.569697i 0.0695996 0.0401833i
\(202\) 4.60034 0.323679
\(203\) 0.163317 0.527195i 0.0114626 0.0370018i
\(204\) 2.27587i 0.159343i
\(205\) −8.57137 10.9945i −0.598650 0.767889i
\(206\) −2.02004 + 3.49881i −0.140743 + 0.243773i
\(207\) −5.70135 3.29168i −0.396271 0.228787i
\(208\) 1.77621 1.02549i 0.123158 0.0711052i
\(209\) 10.3370 + 11.3488i 0.715022 + 0.785011i
\(210\) 1.42599 + 3.76820i 0.0984024 + 0.260031i
\(211\) 24.6765i 1.69880i −0.527747 0.849402i \(-0.676963\pi\)
0.527747 0.849402i \(-0.323037\pi\)
\(212\) 3.20093 1.84806i 0.219841 0.126925i
\(213\) −1.95637 + 3.38853i −0.134048 + 0.232178i
\(214\) −4.80623 + 8.32464i −0.328547 + 0.569061i
\(215\) 9.00695 + 11.5532i 0.614269 + 0.787923i
\(216\) −3.77029 −0.256536
\(217\) −15.9599 17.2425i −1.08343 1.17050i
\(218\) 17.4376i 1.18103i
\(219\) 4.51290 2.60552i 0.304953 0.176065i
\(220\) 6.95697 2.56915i 0.469039 0.173212i
\(221\) −3.42703 + 5.93579i −0.230527 + 0.399285i
\(222\) 2.13889 1.23489i 0.143553 0.0828801i
\(223\) 25.7283 1.72290 0.861448 0.507846i \(-0.169558\pi\)
0.861448 + 0.507846i \(0.169558\pi\)
\(224\) −1.94165 + 1.79722i −0.129732 + 0.120082i
\(225\) −12.1971 + 3.46990i −0.813138 + 0.231326i
\(226\) 9.17775 5.29878i 0.610495 0.352470i
\(227\) 9.94984 + 5.74454i 0.660394 + 0.381279i 0.792427 0.609967i \(-0.208817\pi\)
−0.132033 + 0.991245i \(0.542150\pi\)
\(228\) −1.57604 + 2.72978i −0.104376 + 0.180784i
\(229\) 16.3220 9.42353i 1.07859 0.622725i 0.148075 0.988976i \(-0.452692\pi\)
0.930516 + 0.366252i \(0.119359\pi\)
\(230\) 0.801795 + 5.74862i 0.0528688 + 0.379053i
\(231\) 3.41772 4.90218i 0.224869 0.322540i
\(232\) 0.208603i 0.0136955i
\(233\) 4.53084 + 7.84765i 0.296825 + 0.514116i 0.975408 0.220408i \(-0.0707388\pi\)
−0.678583 + 0.734524i \(0.737405\pi\)
\(234\) 4.50483 + 2.60087i 0.294490 + 0.170024i
\(235\) −11.0447 + 27.2546i −0.720477 + 1.77790i
\(236\) −4.99271 + 2.88254i −0.324998 + 0.187637i
\(237\) 10.5043i 0.682329i
\(238\) 2.61635 8.44569i 0.169593 0.547453i
\(239\) 19.0580i 1.23276i −0.787450 0.616379i \(-0.788599\pi\)
0.787450 0.616379i \(-0.211401\pi\)
\(240\) 0.936285 + 1.20097i 0.0604370 + 0.0775225i
\(241\) −3.67875 + 6.37178i −0.236969 + 0.410442i −0.959843 0.280537i \(-0.909487\pi\)
0.722874 + 0.690980i \(0.242821\pi\)
\(242\) −8.97277 6.36313i −0.576791 0.409037i
\(243\) −7.37194 12.7686i −0.472910 0.819105i
\(244\) −10.7723 −0.689627
\(245\) 0.959858 + 15.6230i 0.0613231 + 0.998118i
\(246\) −4.24587 −0.270707
\(247\) 8.22108 4.74644i 0.523095 0.302009i
\(248\) −7.69058 4.44016i −0.488353 0.281950i
\(249\) −1.08960 0.629082i −0.0690508 0.0398665i
\(250\) 9.02445 + 6.59995i 0.570756 + 0.417417i
\(251\) 9.88938i 0.624212i −0.950047 0.312106i \(-0.898966\pi\)
0.950047 0.312106i \(-0.101034\pi\)
\(252\) −6.40966 1.98562i −0.403771 0.125082i
\(253\) 6.36468 5.79723i 0.400144 0.364469i
\(254\) 6.17631 + 10.6977i 0.387536 + 0.671233i
\(255\) −4.71644 1.91130i −0.295355 0.119690i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −8.66287 15.0045i −0.540375 0.935957i −0.998882 0.0472660i \(-0.984949\pi\)
0.458508 0.888690i \(-0.348384\pi\)
\(258\) 4.46164 0.277770
\(259\) 9.35698 2.12376i 0.581414 0.131964i
\(260\) −0.633525 4.54218i −0.0392896 0.281694i
\(261\) 0.458180 0.264530i 0.0283606 0.0163740i
\(262\) 3.55442 6.15643i 0.219593 0.380346i
\(263\) −5.94935 + 10.3046i −0.366853 + 0.635407i −0.989072 0.147436i \(-0.952898\pi\)
0.622219 + 0.782843i \(0.286231\pi\)
\(264\) 0.685645 2.15212i 0.0421985 0.132454i
\(265\) −1.14169 8.18553i −0.0701332 0.502833i
\(266\) −8.98681 + 8.31833i −0.551017 + 0.510029i
\(267\) 11.8167i 0.723173i
\(268\) 1.44891 0.836530i 0.0885064 0.0510992i
\(269\) 0.208607 + 0.120439i 0.0127190 + 0.00734332i 0.506346 0.862330i \(-0.330996\pi\)
−0.493627 + 0.869674i \(0.664329\pi\)
\(270\) −3.16633 + 7.81344i −0.192697 + 0.475511i
\(271\) 4.79043 + 8.29727i 0.290998 + 0.504024i 0.974046 0.226350i \(-0.0726793\pi\)
−0.683048 + 0.730374i \(0.739346\pi\)
\(272\) 3.34183i 0.202628i
\(273\) −2.51031 2.71204i −0.151931 0.164140i
\(274\) 18.6900i 1.12910i
\(275\) 0.518299 16.5750i 0.0312546 0.999511i
\(276\) 1.53093 + 0.883883i 0.0921512 + 0.0532035i
\(277\) 12.4107 21.4960i 0.745687 1.29157i −0.204186 0.978932i \(-0.565455\pi\)
0.949873 0.312635i \(-0.101212\pi\)
\(278\) 9.80567 + 16.9839i 0.588105 + 1.01863i
\(279\) 22.5223i 1.34838i
\(280\) 2.09389 + 5.53314i 0.125134 + 0.330668i
\(281\) 23.1359i 1.38017i 0.723726 + 0.690087i \(0.242428\pi\)
−0.723726 + 0.690087i \(0.757572\pi\)
\(282\) 4.47822 + 7.75650i 0.266674 + 0.461893i
\(283\) 26.4747 + 15.2852i 1.57376 + 0.908610i 0.995702 + 0.0926142i \(0.0295223\pi\)
0.578057 + 0.815996i \(0.303811\pi\)
\(284\) −2.87268 + 4.97564i −0.170462 + 0.295250i
\(285\) 4.33354 + 5.55864i 0.256697 + 0.329265i
\(286\) −5.02895 + 4.58059i −0.297368 + 0.270856i
\(287\) −15.7563 4.88107i −0.930066 0.288121i
\(288\) −2.53621 −0.149447
\(289\) −2.91608 5.05079i −0.171534 0.297105i
\(290\) −0.432303 0.175187i −0.0253857 0.0102873i
\(291\) −2.02717 + 3.51116i −0.118835 + 0.205828i
\(292\) 6.62663 3.82589i 0.387794 0.223893i
\(293\) 4.51666i 0.263866i 0.991259 + 0.131933i \(0.0421184\pi\)
−0.991259 + 0.131933i \(0.957882\pi\)
\(294\) 3.93231 + 2.69497i 0.229337 + 0.157174i
\(295\) 1.78076 + 12.7675i 0.103680 + 0.743354i
\(296\) 3.14069 1.81328i 0.182549 0.105395i
\(297\) 12.2163 2.66997i 0.708860 0.154927i
\(298\) −4.37001 2.52303i −0.253148 0.146155i
\(299\) −2.66193 4.61059i −0.153943 0.266637i
\(300\) 3.27516 0.931739i 0.189092 0.0537940i
\(301\) 16.5570 + 5.12912i 0.954331 + 0.295638i
\(302\) 2.37601i 0.136724i
\(303\) −1.56647 2.71321i −0.0899915 0.155870i
\(304\) −2.31422 + 4.00835i −0.132730 + 0.229895i
\(305\) −9.04671 + 22.3242i −0.518013 + 1.27828i
\(306\) 7.34007 4.23779i 0.419604 0.242258i
\(307\) 30.0596i 1.71559i −0.513992 0.857795i \(-0.671834\pi\)
0.513992 0.857795i \(-0.328166\pi\)
\(308\) 5.01850 7.19824i 0.285955 0.410158i
\(309\) 2.75139 0.156521
\(310\) −15.6603 + 12.2088i −0.889445 + 0.693416i
\(311\) −0.971429 0.560855i −0.0550847 0.0318032i 0.472205 0.881489i \(-0.343458\pi\)
−0.527289 + 0.849686i \(0.676792\pi\)
\(312\) −1.20964 0.698386i −0.0684824 0.0395383i
\(313\) 10.3195 + 17.8740i 0.583294 + 1.01030i 0.995086 + 0.0990174i \(0.0315699\pi\)
−0.411791 + 0.911278i \(0.635097\pi\)
\(314\) 0.559221 0.0315587
\(315\) −9.49783 + 11.6156i −0.535142 + 0.654467i
\(316\) 15.4243i 0.867685i
\(317\) −18.3880 + 10.6163i −1.03277 + 0.596272i −0.917778 0.397095i \(-0.870019\pi\)
−0.114995 + 0.993366i \(0.536685\pi\)
\(318\) −2.17991 1.25857i −0.122243 0.0705772i
\(319\) 0.147725 + 0.675904i 0.00827099 + 0.0378433i
\(320\) 1.37482 + 1.76348i 0.0768548 + 0.0985817i
\(321\) 6.54632 0.365380
\(322\) 4.66513 + 5.04003i 0.259977 + 0.280870i
\(323\) 15.4675i 0.860634i
\(324\) −2.52048 4.36560i −0.140027 0.242533i
\(325\) −9.94512 2.50167i −0.551656 0.138768i
\(326\) −19.0284 10.9861i −1.05389 0.608462i
\(327\) 10.2844 5.93773i 0.568731 0.328357i
\(328\) −6.23454 −0.344245
\(329\) 7.70164 + 33.9323i 0.424605 + 1.87075i
\(330\) −3.88418 3.22828i −0.213817 0.177711i
\(331\) −8.87838 15.3778i −0.488000 0.845241i 0.511905 0.859042i \(-0.328940\pi\)
−0.999905 + 0.0138013i \(0.995607\pi\)
\(332\) −1.59995 0.923730i −0.0878085 0.0506963i
\(333\) 7.96544 + 4.59885i 0.436503 + 0.252015i
\(334\) 9.16345 5.29052i 0.501402 0.289484i
\(335\) −0.516788 3.70521i −0.0282351 0.202437i
\(336\) 1.72113 + 0.533179i 0.0938951 + 0.0290873i
\(337\) 11.5799 0.630798 0.315399 0.948959i \(-0.397862\pi\)
0.315399 + 0.948959i \(0.397862\pi\)
\(338\) −4.39672 7.61535i −0.239150 0.414220i
\(339\) −6.25027 3.60860i −0.339468 0.195992i
\(340\) −6.92551 2.80651i −0.375589 0.152204i
\(341\) 28.0629 + 8.94057i 1.51969 + 0.484159i
\(342\) −11.7387 −0.634755
\(343\) 11.4945 + 14.5216i 0.620647 + 0.784090i
\(344\) 6.55137 0.353226
\(345\) 3.11743 2.43036i 0.167837 0.130846i
\(346\) 3.43353 + 1.98235i 0.184588 + 0.106572i
\(347\) −4.34117 + 7.51913i −0.233046 + 0.403648i −0.958703 0.284409i \(-0.908203\pi\)
0.725657 + 0.688057i \(0.241536\pi\)
\(348\) −0.123031 + 0.0710319i −0.00659515 + 0.00380771i
\(349\) 10.3147 0.552134 0.276067 0.961138i \(-0.410969\pi\)
0.276067 + 0.961138i \(0.410969\pi\)
\(350\) 13.2252 + 0.307484i 0.706916 + 0.0164357i
\(351\) 7.73282i 0.412747i
\(352\) 1.00678 3.16012i 0.0536618 0.168435i
\(353\) −5.58273 + 9.66958i −0.297139 + 0.514660i −0.975480 0.220087i \(-0.929366\pi\)
0.678341 + 0.734747i \(0.262699\pi\)
\(354\) 3.40015 + 1.96308i 0.180716 + 0.104336i
\(355\) 7.89885 + 10.1319i 0.419227 + 0.537743i
\(356\) 17.3514i 0.919624i
\(357\) −5.87203 + 1.33278i −0.310781 + 0.0705381i
\(358\) 1.48001 0.0782209
\(359\) 16.5110 9.53265i 0.871419 0.503114i 0.00359971 0.999994i \(-0.498854\pi\)
0.867820 + 0.496879i \(0.165521\pi\)
\(360\) −2.12993 + 5.25596i −0.112257 + 0.277013i
\(361\) −1.21124 + 2.09793i −0.0637496 + 0.110418i
\(362\) 9.36679 5.40792i 0.492308 0.284234i
\(363\) −0.697537 + 7.45872i −0.0366112 + 0.391481i
\(364\) −3.68608 3.98230i −0.193203 0.208729i
\(365\) −2.36354 16.9459i −0.123713 0.886987i
\(366\) 3.66810 + 6.35334i 0.191735 + 0.332095i
\(367\) −3.01556 + 5.22310i −0.157411 + 0.272644i −0.933934 0.357445i \(-0.883648\pi\)
0.776523 + 0.630088i \(0.216981\pi\)
\(368\) 2.24798 + 1.29787i 0.117184 + 0.0676564i
\(369\) −7.90604 13.6937i −0.411572 0.712863i
\(370\) −1.12020 8.03148i −0.0582364 0.417537i
\(371\) −6.64273 7.17656i −0.344873 0.372589i
\(372\) 6.04771i 0.313559i
\(373\) 0.803802 + 1.39223i 0.0416193 + 0.0720867i 0.886085 0.463523i \(-0.153415\pi\)
−0.844465 + 0.535610i \(0.820082\pi\)
\(374\) 2.36656 + 10.8280i 0.122372 + 0.559903i
\(375\) 0.819610 7.56984i 0.0423245 0.390905i
\(376\) 6.57571 + 11.3895i 0.339116 + 0.587367i
\(377\) 0.427843 0.0220350
\(378\) 2.20793 + 9.72783i 0.113564 + 0.500345i
\(379\) −21.0081 −1.07912 −0.539558 0.841949i \(-0.681409\pi\)
−0.539558 + 0.841949i \(0.681409\pi\)
\(380\) 6.36328 + 8.16218i 0.326429 + 0.418711i
\(381\) 4.20622 7.28538i 0.215491 0.373241i
\(382\) −8.82641 + 15.2878i −0.451598 + 0.782191i
\(383\) 15.2258 + 26.3718i 0.778000 + 1.34754i 0.933093 + 0.359636i \(0.117099\pi\)
−0.155092 + 0.987900i \(0.549567\pi\)
\(384\) 0.681024 0.0347534
\(385\) −10.7028 16.4453i −0.545467 0.838132i
\(386\) −21.7574 −1.10742
\(387\) 8.30781 + 14.3896i 0.422310 + 0.731462i
\(388\) −2.97665 + 5.15570i −0.151116 + 0.261741i
\(389\) 14.4555 25.0377i 0.732924 1.26946i −0.222705 0.974886i \(-0.571489\pi\)
0.955628 0.294575i \(-0.0951781\pi\)
\(390\) −2.46318 + 1.92031i −0.124728 + 0.0972387i
\(391\) −8.67456 −0.438691
\(392\) 5.77411 + 3.95723i 0.291637 + 0.199870i
\(393\) −4.84129 −0.244211
\(394\) 1.77819 + 3.07991i 0.0895837 + 0.155164i
\(395\) 31.9649 + 12.9535i 1.60833 + 0.651761i
\(396\) 8.21766 1.79604i 0.412953 0.0902545i
\(397\) −11.2369 19.4629i −0.563963 0.976813i −0.997145 0.0755063i \(-0.975943\pi\)
0.433182 0.901306i \(-0.357391\pi\)
\(398\) 10.4561i 0.524115i
\(399\) 7.96613 + 2.46779i 0.398806 + 0.123544i
\(400\) 4.80918 1.36814i 0.240459 0.0684072i
\(401\) −10.8958 18.8721i −0.544111 0.942429i −0.998662 0.0517079i \(-0.983534\pi\)
0.454551 0.890721i \(-0.349800\pi\)
\(402\) −0.986744 0.569697i −0.0492143 0.0284139i
\(403\) 9.10672 15.7733i 0.453638 0.785724i
\(404\) −2.30017 3.98401i −0.114438 0.198212i
\(405\) −11.1639 + 1.55709i −0.554737 + 0.0773725i
\(406\) −0.538223 + 0.122161i −0.0267116 + 0.00606273i
\(407\) −8.89218 + 8.09939i −0.440769 + 0.401472i
\(408\) −1.97096 + 1.13793i −0.0975771 + 0.0563361i
\(409\) 6.88836 11.9310i 0.340608 0.589950i −0.643938 0.765078i \(-0.722701\pi\)
0.984546 + 0.175128i \(0.0560339\pi\)
\(410\) −5.23583 + 12.9203i −0.258579 + 0.638087i
\(411\) −11.0231 + 6.36416i −0.543727 + 0.313921i
\(412\) 4.04007 0.199040
\(413\) 10.3611 + 11.1938i 0.509837 + 0.550809i
\(414\) 6.58335i 0.323554i
\(415\) −3.25796 + 2.53993i −0.159927 + 0.124680i
\(416\) −1.77621 1.02549i −0.0870858 0.0502790i
\(417\) 6.67790 11.5665i 0.327018 0.566412i
\(418\) 4.65985 14.6265i 0.227920 0.715403i
\(419\) 3.32031i 0.162208i 0.996706 + 0.0811039i \(0.0258446\pi\)
−0.996706 + 0.0811039i \(0.974155\pi\)
\(420\) 2.55036 3.11904i 0.124445 0.152194i
\(421\) −1.32850 −0.0647471 −0.0323735 0.999476i \(-0.510307\pi\)
−0.0323735 + 0.999476i \(0.510307\pi\)
\(422\) −21.3705 + 12.3383i −1.04030 + 0.600618i
\(423\) −16.6774 + 28.8860i −0.810881 + 1.40449i
\(424\) −3.20093 1.84806i −0.155451 0.0897497i
\(425\) −11.6322 + 11.9953i −0.564247 + 0.581857i
\(426\) 3.91273 0.189573
\(427\) 6.30841 + 27.7940i 0.305285 + 1.34504i
\(428\) 9.61247 0.464636
\(429\) 4.41397 + 1.40625i 0.213109 + 0.0678943i
\(430\) 5.50191 13.5769i 0.265326 0.654734i
\(431\) 18.2668 + 10.5464i 0.879882 + 0.508000i 0.870619 0.491957i \(-0.163718\pi\)
0.00926235 + 0.999957i \(0.497052\pi\)
\(432\) 1.88514 + 3.26517i 0.0906991 + 0.157095i
\(433\) 5.00434 0.240493 0.120247 0.992744i \(-0.461631\pi\)
0.120247 + 0.992744i \(0.461631\pi\)
\(434\) −6.95248 + 22.4429i −0.333730 + 1.07729i
\(435\) 0.0438818 + 0.314619i 0.00210397 + 0.0150848i
\(436\) 15.1014 8.71882i 0.723228 0.417556i
\(437\) 10.4047 + 6.00714i 0.497723 + 0.287360i
\(438\) −4.51290 2.60552i −0.215635 0.124497i
\(439\) 4.57091 + 7.91705i 0.218158 + 0.377860i 0.954245 0.299027i \(-0.0966620\pi\)
−0.736087 + 0.676887i \(0.763329\pi\)
\(440\) −5.70344 4.74034i −0.271901 0.225987i
\(441\) −1.36957 + 17.7005i −0.0652174 + 0.842883i
\(442\) 6.85406 0.326014
\(443\) −4.23828 + 2.44697i −0.201367 + 0.116259i −0.597293 0.802023i \(-0.703757\pi\)
0.395926 + 0.918282i \(0.370424\pi\)
\(444\) −2.13889 1.23489i −0.101507 0.0586051i
\(445\) 35.9586 + 14.5719i 1.70460 + 0.690775i
\(446\) −12.8642 22.2814i −0.609136 1.05505i
\(447\) 3.43648i 0.162540i
\(448\) 2.52726 + 0.782908i 0.119402 + 0.0369889i
\(449\) 3.19516 0.150789 0.0753945 0.997154i \(-0.475978\pi\)
0.0753945 + 0.997154i \(0.475978\pi\)
\(450\) 9.10355 + 8.82802i 0.429146 + 0.416157i
\(451\) 20.2008 4.41506i 0.951218 0.207897i
\(452\) −9.17775 5.29878i −0.431685 0.249234i
\(453\) −1.40133 + 0.809059i −0.0658403 + 0.0380129i
\(454\) 11.4891i 0.539210i
\(455\) −11.3484 + 4.29454i −0.532022 + 0.201331i
\(456\) 3.15208 0.147610
\(457\) 7.73790 + 13.4024i 0.361964 + 0.626939i 0.988284 0.152626i \(-0.0487731\pi\)
−0.626320 + 0.779566i \(0.715440\pi\)
\(458\) −16.3220 9.42353i −0.762679 0.440333i
\(459\) −10.9116 6.29984i −0.509312 0.294051i
\(460\) 4.57756 3.56869i 0.213430 0.166391i
\(461\) 2.55725 0.119103 0.0595515 0.998225i \(-0.481033\pi\)
0.0595515 + 0.998225i \(0.481033\pi\)
\(462\) −5.95427 0.508741i −0.277018 0.0236688i
\(463\) 32.5823i 1.51423i −0.653283 0.757113i \(-0.726609\pi\)
0.653283 0.757113i \(-0.273391\pi\)
\(464\) −0.180656 + 0.104302i −0.00838673 + 0.00484208i
\(465\) 12.5331 + 5.07893i 0.581209 + 0.235530i
\(466\) 4.53084 7.84765i 0.209887 0.363535i
\(467\) −0.161793 0.280233i −0.00748687 0.0129676i 0.862258 0.506470i \(-0.169050\pi\)
−0.869745 + 0.493502i \(0.835717\pi\)
\(468\) 5.20173i 0.240450i
\(469\) −3.00686 3.24850i −0.138844 0.150002i
\(470\) 29.1255 4.06231i 1.34346 0.187381i
\(471\) −0.190422 0.329820i −0.00877416 0.0151973i
\(472\) 4.99271 + 2.88254i 0.229808 + 0.132680i
\(473\) −21.2274 + 4.63942i −0.976035 + 0.213321i
\(474\) 9.09701 5.25216i 0.417839 0.241240i
\(475\) 22.2590 6.33238i 1.02131 0.290549i
\(476\) −8.62235 + 1.95702i −0.395205 + 0.0896999i
\(477\) 9.37411i 0.429211i
\(478\) −16.5047 + 9.52898i −0.754906 + 0.435845i
\(479\) −12.2943 + 21.2944i −0.561743 + 0.972968i 0.435601 + 0.900140i \(0.356536\pi\)
−0.997345 + 0.0728280i \(0.976798\pi\)
\(480\) 0.571931 1.41133i 0.0261050 0.0644183i
\(481\) 3.71901 + 6.44152i 0.169572 + 0.293708i
\(482\) 7.35750 0.335125
\(483\) 1.38400 4.46761i 0.0629741 0.203283i
\(484\) −1.02425 + 10.9522i −0.0465567 + 0.497828i
\(485\) 8.18471 + 10.4985i 0.371648 + 0.476714i
\(486\) −7.37194 + 12.7686i −0.334398 + 0.579194i
\(487\) 26.5133 + 15.3075i 1.20143 + 0.693648i 0.960874 0.276986i \(-0.0893355\pi\)
0.240560 + 0.970634i \(0.422669\pi\)
\(488\) 5.38616 + 9.32910i 0.243820 + 0.422309i
\(489\) 14.9635i 0.676675i
\(490\) 13.0500 8.64277i 0.589539 0.390441i
\(491\) 12.1960i 0.550399i 0.961387 + 0.275200i \(0.0887439\pi\)
−0.961387 + 0.275200i \(0.911256\pi\)
\(492\) 2.12294 + 3.67703i 0.0957093 + 0.165773i
\(493\) 0.348559 0.603721i 0.0156983 0.0271902i
\(494\) −8.22108 4.74644i −0.369884 0.213553i
\(495\) 3.17922 18.5384i 0.142895 0.833238i
\(496\) 8.88032i 0.398738i
\(497\) 14.5201 + 4.49810i 0.651314 + 0.201767i
\(498\) 1.25816i 0.0563797i
\(499\) −3.86443 6.69338i −0.172995 0.299637i 0.766470 0.642280i \(-0.222011\pi\)
−0.939466 + 0.342643i \(0.888678\pi\)
\(500\) 1.20350 11.1154i 0.0538220 0.497095i
\(501\) −6.24053 3.60297i −0.278806 0.160969i
\(502\) −8.56446 + 4.94469i −0.382250 + 0.220692i
\(503\) 3.46254i 0.154387i 0.997016 + 0.0771936i \(0.0245960\pi\)
−0.997016 + 0.0771936i \(0.975404\pi\)
\(504\) 1.48523 + 6.54374i 0.0661576 + 0.291481i
\(505\) −10.1881 + 1.42099i −0.453363 + 0.0632332i
\(506\) −8.20289 2.61336i −0.364663 0.116178i
\(507\) −2.99427 + 5.18623i −0.132980 + 0.230329i
\(508\) 6.17631 10.6977i 0.274030 0.474633i
\(509\) 2.67778 1.54601i 0.118690 0.0685259i −0.439480 0.898253i \(-0.644837\pi\)
0.558170 + 0.829727i \(0.311504\pi\)
\(510\) 0.702988 + 5.04021i 0.0311288 + 0.223184i
\(511\) −13.7519 14.8571i −0.608349 0.657238i
\(512\) 1.00000 0.0441942
\(513\) 8.72528 + 15.1126i 0.385231 + 0.667239i
\(514\) −8.66287 + 15.0045i −0.382103 + 0.661821i
\(515\) 3.39290 8.37253i 0.149509 0.368938i
\(516\) −2.23082 3.86389i −0.0982064 0.170098i
\(517\) −29.3718 32.2468i −1.29177 1.41821i
\(518\) −6.51772 7.04150i −0.286372 0.309386i
\(519\) 2.70005i 0.118519i
\(520\) −3.61688 + 2.81974i −0.158611 + 0.123654i
\(521\) −11.0075 6.35516i −0.482245 0.278424i 0.239106 0.970993i \(-0.423146\pi\)
−0.721352 + 0.692569i \(0.756479\pi\)
\(522\) −0.458180 0.264530i −0.0200540 0.0115782i
\(523\) −5.73591 + 3.31163i −0.250814 + 0.144808i −0.620137 0.784494i \(-0.712923\pi\)
0.369323 + 0.929301i \(0.379590\pi\)
\(524\) −7.10883 −0.310551
\(525\) −4.32198 7.90470i −0.188627 0.344990i
\(526\) 11.8987 0.518808
\(527\) −14.8383 25.7006i −0.646365 1.11954i
\(528\) −2.20661 + 0.482275i −0.0960305 + 0.0209883i
\(529\) −8.13105 + 14.0834i −0.353524 + 0.612321i
\(530\) −6.51804 + 5.08150i −0.283125 + 0.220726i
\(531\) 14.6214i 0.634516i
\(532\) 11.6973 + 3.62365i 0.507142 + 0.157105i
\(533\) 12.7870i 0.553865i
\(534\) 10.2336 5.90837i 0.442851 0.255680i
\(535\) 8.07265 19.9206i 0.349011 0.861242i
\(536\) −1.44891 0.836530i −0.0625835 0.0361326i
\(537\) −0.503961 0.872886i −0.0217475 0.0376678i
\(538\) 0.240879i 0.0103850i
\(539\) −21.5113 8.73298i −0.926556 0.376156i
\(540\) 8.34980 1.16460i 0.359318 0.0501162i
\(541\) −9.24839 + 5.33956i −0.397619 + 0.229566i −0.685456 0.728114i \(-0.740397\pi\)
0.287837 + 0.957679i \(0.407064\pi\)
\(542\) 4.79043 8.29727i 0.205767 0.356398i
\(543\) −6.37901 3.68292i −0.273749 0.158049i
\(544\) −2.89411 + 1.67092i −0.124084 + 0.0716400i
\(545\) −5.38627 38.6179i −0.230723 1.65421i
\(546\) −1.09354 + 3.53001i −0.0467994 + 0.151071i
\(547\) −29.6241 −1.26663 −0.633317 0.773893i \(-0.718307\pi\)
−0.633317 + 0.773893i \(0.718307\pi\)
\(548\) −16.1860 + 9.34499i −0.691432 + 0.399198i
\(549\) −13.6604 + 23.6605i −0.583012 + 1.00981i
\(550\) −14.6135 + 7.83865i −0.623123 + 0.334241i
\(551\) −0.836155 + 0.482754i −0.0356214 + 0.0205660i
\(552\) 1.76777i 0.0752412i
\(553\) 39.7967 9.03267i 1.69233 0.384108i
\(554\) −24.8214 −1.05456
\(555\) −4.35540 + 3.39549i −0.184876 + 0.144131i
\(556\) 9.80567 16.9839i 0.415853 0.720279i
\(557\) −1.83613 + 3.18026i −0.0777991 + 0.134752i −0.902300 0.431109i \(-0.858123\pi\)
0.824501 + 0.565861i \(0.191456\pi\)
\(558\) −19.5049 + 11.2612i −0.825709 + 0.476723i
\(559\) 13.4368i 0.568315i
\(560\) 3.74490 4.57993i 0.158251 0.193537i
\(561\) 5.58035 5.08282i 0.235602 0.214597i
\(562\) 20.0363 11.5680i 0.845181 0.487965i
\(563\) −24.2556 14.0040i −1.02225 0.590198i −0.107498 0.994205i \(-0.534284\pi\)
−0.914756 + 0.404007i \(0.867617\pi\)
\(564\) 4.47822 7.75650i 0.188567 0.326608i
\(565\) −18.6886 + 14.5697i −0.786236 + 0.612953i
\(566\) 30.5704i 1.28497i
\(567\) −9.78778 + 9.05971i −0.411048 + 0.380472i
\(568\) 5.74537 0.241070
\(569\) 7.59248 4.38352i 0.318293 0.183767i −0.332338 0.943160i \(-0.607838\pi\)
0.650632 + 0.759394i \(0.274504\pi\)
\(570\) 2.64715 6.53228i 0.110877 0.273607i
\(571\) −21.6883 12.5217i −0.907626 0.524018i −0.0279594 0.999609i \(-0.508901\pi\)
−0.879667 + 0.475591i \(0.842234\pi\)
\(572\) 6.48138 + 2.06490i 0.271000 + 0.0863380i
\(573\) 12.0220 0.502226
\(574\) 3.65103 + 16.0859i 0.152391 + 0.671413i
\(575\) −3.55136 12.4834i −0.148102 0.520594i
\(576\) 1.26810 + 2.19642i 0.0528376 + 0.0915175i
\(577\) −12.2420 + 21.2037i −0.509640 + 0.882722i 0.490298 + 0.871555i \(0.336888\pi\)
−0.999938 + 0.0111668i \(0.996445\pi\)
\(578\) −2.91608 + 5.05079i −0.121293 + 0.210085i
\(579\) 7.40866 + 12.8322i 0.307893 + 0.533287i
\(580\) 0.0644350 + 0.461979i 0.00267552 + 0.0191826i
\(581\) −1.44639 + 4.66902i −0.0600064 + 0.193703i
\(582\) 4.05434 0.168058
\(583\) 11.6802 + 3.72119i 0.483744 + 0.154116i
\(584\) −6.62663 3.82589i −0.274212 0.158316i
\(585\) −10.7799 4.36847i −0.445694 0.180614i
\(586\) 3.91154 2.25833i 0.161584 0.0932907i
\(587\) 3.07712 0.127006 0.0635031 0.997982i \(-0.479773\pi\)
0.0635031 + 0.997982i \(0.479773\pi\)
\(588\) 0.367757 4.75296i 0.0151660 0.196009i
\(589\) 41.1021i 1.69358i
\(590\) 10.1666 7.92595i 0.418553 0.326306i
\(591\) 1.21099 2.09749i 0.0498134 0.0862793i
\(592\) −3.14069 1.81328i −0.129082 0.0745253i
\(593\) −24.6596 + 14.2372i −1.01265 + 0.584652i −0.911966 0.410266i \(-0.865436\pi\)
−0.100682 + 0.994919i \(0.532102\pi\)
\(594\) −8.42040 9.24461i −0.345493 0.379311i
\(595\) −3.18547 + 19.5122i −0.130592 + 0.799924i
\(596\) 5.04605i 0.206694i
\(597\) 6.16681 3.56041i 0.252391 0.145718i
\(598\) −2.66193 + 4.61059i −0.108854 + 0.188541i
\(599\) −13.1686 + 22.8086i −0.538053 + 0.931934i 0.460956 + 0.887423i \(0.347506\pi\)
−0.999009 + 0.0445115i \(0.985827\pi\)
\(600\) −2.44449 2.37051i −0.0997960 0.0967755i
\(601\) −28.6070 −1.16690 −0.583452 0.812148i \(-0.698298\pi\)
−0.583452 + 0.812148i \(0.698298\pi\)
\(602\) −3.83657 16.9034i −0.156367 0.688930i
\(603\) 4.24322i 0.172797i
\(604\) −2.05768 + 1.18800i −0.0837259 + 0.0483392i
\(605\) 21.8369 + 11.3204i 0.887795 + 0.460240i
\(606\) −1.56647 + 2.71321i −0.0636336 + 0.110217i
\(607\) −6.93601 + 4.00451i −0.281524 + 0.162538i −0.634113 0.773240i \(-0.718635\pi\)
0.352589 + 0.935778i \(0.385301\pi\)
\(608\) 4.62844 0.187708
\(609\) 0.255320 + 0.275838i 0.0103461 + 0.0111775i
\(610\) 23.8567 3.32744i 0.965930 0.134724i
\(611\) −23.3597 + 13.4867i −0.945031 + 0.545614i
\(612\) −7.34007 4.23779i −0.296705 0.171302i
\(613\) 12.8523 22.2608i 0.519099 0.899105i −0.480655 0.876910i \(-0.659601\pi\)
0.999754 0.0221956i \(-0.00706566\pi\)
\(614\) −26.0324 + 15.0298i −1.05058 + 0.606553i
\(615\) 9.40303 1.31150i 0.379167 0.0528847i
\(616\) −8.74311 0.747023i −0.352270 0.0300984i
\(617\) 32.5391i 1.30998i −0.755640 0.654988i \(-0.772674\pi\)
0.755640 0.654988i \(-0.227326\pi\)
\(618\) −1.37569 2.38277i −0.0553385 0.0958491i
\(619\) −33.3383 19.2479i −1.33998 0.773637i −0.353175 0.935557i \(-0.614898\pi\)
−0.986804 + 0.161920i \(0.948231\pi\)
\(620\) 18.4033 + 7.45779i 0.739095 + 0.299512i
\(621\) 8.47555 4.89336i 0.340112 0.196364i
\(622\) 1.12171i 0.0449765i
\(623\) 44.7689 10.1612i 1.79363 0.407101i
\(624\) 1.39677i 0.0559157i
\(625\) −22.0245 11.8289i −0.880979 0.473156i
\(626\) 10.3195 17.8740i 0.412451 0.714387i
\(627\) −10.2132 + 2.23218i −0.407875 + 0.0891447i
\(628\) −0.279611 0.484300i −0.0111577 0.0193257i
\(629\) 12.1193 0.483230
\(630\) 14.8084 + 2.41754i 0.589979 + 0.0963172i
\(631\) 41.5135 1.65262 0.826312 0.563212i \(-0.190435\pi\)
0.826312 + 0.563212i \(0.190435\pi\)
\(632\) 13.3578 7.71215i 0.531346 0.306773i
\(633\) 14.5538 + 8.40266i 0.578463 + 0.333976i
\(634\) 18.3880 + 10.6163i 0.730281 + 0.421628i
\(635\) −16.9826 21.7836i −0.673935 0.864457i
\(636\) 2.51714i 0.0998113i
\(637\) −8.11623 + 11.8426i −0.321577 + 0.469222i
\(638\) 0.511487 0.465885i 0.0202500 0.0184446i
\(639\) 7.28572 + 12.6192i 0.288219 + 0.499209i
\(640\) 0.839811 2.07237i 0.0331964 0.0819176i
\(641\) 6.91276 11.9732i 0.273038 0.472915i −0.696601 0.717459i \(-0.745305\pi\)
0.969638 + 0.244544i \(0.0786383\pi\)
\(642\) −3.27316 5.66928i −0.129181 0.223749i
\(643\) −1.24361 −0.0490430 −0.0245215 0.999699i \(-0.507806\pi\)
−0.0245215 + 0.999699i \(0.507806\pi\)
\(644\) 2.03223 6.56014i 0.0800812 0.258506i
\(645\) −9.88088 + 1.37815i −0.389059 + 0.0542644i
\(646\) −13.3952 + 7.73374i −0.527028 + 0.304280i
\(647\) 5.28986 9.16230i 0.207966 0.360207i −0.743108 0.669172i \(-0.766649\pi\)
0.951074 + 0.308964i \(0.0999824\pi\)
\(648\) −2.52048 + 4.36560i −0.0990138 + 0.171497i
\(649\) −18.2184 5.80420i −0.715134 0.227835i
\(650\) 2.80605 + 9.86357i 0.110062 + 0.386881i
\(651\) 15.6039 3.54162i 0.611564 0.138807i
\(652\) 21.9721i 0.860495i
\(653\) 15.2726 8.81765i 0.597663 0.345061i −0.170458 0.985365i \(-0.554525\pi\)
0.768122 + 0.640304i \(0.221192\pi\)
\(654\) −10.2844 5.93773i −0.402154 0.232183i
\(655\) −5.97007 + 14.7321i −0.233270 + 0.575632i
\(656\) 3.11727 + 5.39927i 0.121709 + 0.210806i
\(657\) 19.4065i 0.757119i
\(658\) 25.5355 23.6360i 0.995476 0.921427i
\(659\) 14.3408i 0.558639i −0.960198 0.279319i \(-0.909891\pi\)
0.960198 0.279319i \(-0.0901088\pi\)
\(660\) −0.853686 + 4.97794i −0.0332297 + 0.193766i
\(661\) −19.0348 10.9898i −0.740369 0.427452i 0.0818346 0.996646i \(-0.473922\pi\)
−0.822203 + 0.569194i \(0.807255\pi\)
\(662\) −8.87838 + 15.3778i −0.345068 + 0.597676i
\(663\) −2.33389 4.04242i −0.0906408 0.156994i
\(664\) 1.84746i 0.0716954i
\(665\) 17.3330 21.1979i 0.672147 0.822021i
\(666\) 9.19770i 0.356403i
\(667\) 0.270741 + 0.468937i 0.0104831 + 0.0181573i
\(668\) −9.16345 5.29052i −0.354545 0.204696i
\(669\) −8.76080 + 15.1742i −0.338712 + 0.586667i
\(670\) −2.95041 + 2.30016i −0.113984 + 0.0888628i
\(671\) −24.0584 26.4133i −0.928765 1.01968i
\(672\) −0.398816 1.75713i −0.0153847 0.0677827i
\(673\) −17.7793 −0.685341 −0.342670 0.939456i \(-0.611331\pi\)
−0.342670 + 0.939456i \(0.611331\pi\)
\(674\) −5.78996 10.0285i −0.223021 0.386284i
\(675\) 4.59877 18.2819i 0.177007 0.703671i
\(676\) −4.39672 + 7.61535i −0.169105 + 0.292898i
\(677\) 21.8386 12.6085i 0.839325 0.484585i −0.0177096 0.999843i \(-0.505637\pi\)
0.857035 + 0.515259i \(0.172304\pi\)
\(678\) 7.21719i 0.277175i
\(679\) 15.0455 + 4.66088i 0.577395 + 0.178868i
\(680\) 1.03225 + 7.40093i 0.0395850 + 0.283813i
\(681\) −6.77608 + 3.91217i −0.259660 + 0.149915i
\(682\) −6.28870 28.7735i −0.240807 1.10179i
\(683\) −18.6523 10.7689i −0.713712 0.412062i 0.0987218 0.995115i \(-0.468525\pi\)
−0.812434 + 0.583053i \(0.801858\pi\)
\(684\) 5.86934 + 10.1660i 0.224420 + 0.388707i
\(685\) 5.77311 + 41.3914i 0.220579 + 1.58148i
\(686\) 6.82876 17.2153i 0.260723 0.657285i
\(687\) 12.8353i 0.489697i
\(688\) −3.27568 5.67365i −0.124884 0.216306i
\(689\) 3.79035 6.56507i 0.144401 0.250109i
\(690\) −3.66347 1.48459i −0.139466 0.0565174i
\(691\) −25.7641 + 14.8749i −0.980114 + 0.565869i −0.902305 0.431099i \(-0.858126\pi\)
−0.0778094 + 0.996968i \(0.524793\pi\)
\(692\) 3.96470i 0.150715i
\(693\) −9.44639 20.1508i −0.358839 0.765467i
\(694\) 8.68234 0.329577
\(695\) −26.9621 34.5843i −1.02273 1.31186i
\(696\) 0.123031 + 0.0710319i 0.00466347 + 0.00269246i
\(697\) −18.0435 10.4174i −0.683445 0.394587i
\(698\) −5.15736 8.93281i −0.195209 0.338112i
\(699\) −6.17122 −0.233417
\(700\) −6.34630 11.6071i −0.239868 0.438707i
\(701\) 27.1878i 1.02687i −0.858128 0.513435i \(-0.828373\pi\)
0.858128 0.513435i \(-0.171627\pi\)
\(702\) −6.69682 + 3.86641i −0.252755 + 0.145928i
\(703\) −14.5365 8.39266i −0.548255 0.316535i
\(704\) −3.24014 + 0.708161i −0.122117 + 0.0266898i
\(705\) −12.3135 15.7945i −0.463753 0.594856i
\(706\) 11.1655 0.420218
\(707\) −8.93225 + 8.26782i −0.335932 + 0.310944i
\(708\) 3.92616i 0.147554i
\(709\) 18.0630 + 31.2859i 0.678368 + 1.17497i 0.975472 + 0.220123i \(0.0706460\pi\)
−0.297104 + 0.954845i \(0.596021\pi\)
\(710\) 4.82502 11.9065i 0.181080 0.446844i
\(711\) 33.8782 + 19.5596i 1.27053 + 0.733542i
\(712\) 15.0268 8.67572i 0.563152 0.325136i
\(713\) 23.0511 0.863270
\(714\) 4.09023 + 4.41894i 0.153073 + 0.165375i
\(715\) 9.72238 11.6977i 0.363596 0.437469i
\(716\) −0.740004 1.28173i −0.0276553 0.0479003i
\(717\) 11.2401 + 6.48946i 0.419769 + 0.242353i
\(718\) −16.5110 9.53265i −0.616187 0.355755i
\(719\) 24.3745 14.0726i 0.909016 0.524821i 0.0289015 0.999582i \(-0.490799\pi\)
0.880114 + 0.474762i \(0.157466\pi\)
\(720\) 5.61676 0.783403i 0.209324 0.0291957i
\(721\) −2.36592 10.4239i −0.0881114 0.388206i
\(722\) 2.42248 0.0901555
\(723\) −2.50532 4.33933i −0.0931737 0.161382i
\(724\) −9.36679 5.40792i −0.348114 0.200984i
\(725\) 1.01150 + 0.254442i 0.0375663 + 0.00944973i
\(726\) 6.80821 3.12527i 0.252676 0.115990i
\(727\) −6.28055 −0.232933 −0.116466 0.993195i \(-0.537157\pi\)
−0.116466 + 0.993195i \(0.537157\pi\)
\(728\) −1.60574 + 5.18339i −0.0595125 + 0.192109i
\(729\) −5.08195 −0.188220
\(730\) −13.4938 + 10.5198i −0.499427 + 0.389356i
\(731\) 18.9604 + 10.9468i 0.701276 + 0.404882i
\(732\) 3.66810 6.35334i 0.135577 0.234826i
\(733\) −32.5279 + 18.7800i −1.20144 + 0.693655i −0.960876 0.276978i \(-0.910667\pi\)
−0.240569 + 0.970632i \(0.577334\pi\)
\(734\) 6.03112 0.222613
\(735\) −9.54105 4.75372i −0.351927 0.175343i
\(736\) 2.59575i 0.0956806i
\(737\) 5.28708 + 1.68441i 0.194752 + 0.0620461i
\(738\) −7.90604 + 13.6937i −0.291025 + 0.504071i
\(739\) −9.42805 5.44329i −0.346817 0.200235i 0.316466 0.948604i \(-0.397504\pi\)
−0.663282 + 0.748369i \(0.730837\pi\)
\(740\) −6.39537 + 4.98586i −0.235098 + 0.183284i
\(741\) 6.46488i 0.237493i
\(742\) −2.89372 + 9.34106i −0.106232 + 0.342921i
\(743\) −18.1135 −0.664520 −0.332260 0.943188i \(-0.607811\pi\)
−0.332260 + 0.943188i \(0.607811\pi\)
\(744\) 5.23747 3.02386i 0.192015 0.110860i
\(745\) 10.4573 + 4.23773i 0.383125 + 0.155258i
\(746\) 0.803802 1.39223i 0.0294293 0.0509730i
\(747\) −4.05780 + 2.34277i −0.148467 + 0.0857175i
\(748\) 8.19405 7.46350i 0.299604 0.272893i
\(749\) −5.62918 24.8014i −0.205686 0.906223i
\(750\) −6.96548 + 3.07512i −0.254343 + 0.112287i
\(751\) 15.8194 + 27.4001i 0.577260 + 0.999843i 0.995792 + 0.0916410i \(0.0292112\pi\)
−0.418533 + 0.908202i \(0.637455\pi\)
\(752\) 6.57571 11.3895i 0.239792 0.415331i
\(753\) 5.83260 + 3.36745i 0.212552 + 0.122717i
\(754\) −0.213921 0.370523i −0.00779056 0.0134936i
\(755\) 0.733920 + 5.26198i 0.0267101 + 0.191503i
\(756\) 7.32058 6.77604i 0.266247 0.246442i
\(757\) 28.5956i 1.03932i −0.854372 0.519662i \(-0.826058\pi\)
0.854372 0.519662i \(-0.173942\pi\)
\(758\) 10.5041 + 18.1936i 0.381525 + 0.660821i
\(759\) 1.25186 + 5.72781i 0.0454398 + 0.207906i
\(760\) 3.88702 9.59185i 0.140997 0.347933i
\(761\) −18.0463 31.2572i −0.654179 1.13307i −0.982099 0.188366i \(-0.939681\pi\)
0.327920 0.944706i \(-0.393652\pi\)
\(762\) −8.41243 −0.304750
\(763\) −31.3393 33.8578i −1.13456 1.22573i
\(764\) 17.6528 0.638657
\(765\) −14.9465 + 11.6524i −0.540393 + 0.421293i
\(766\) 15.2258 26.3718i 0.550129 0.952852i
\(767\) −5.91206 + 10.2400i −0.213472 + 0.369744i
\(768\) −0.340512 0.589784i −0.0122872 0.0212820i
\(769\) 28.3685 1.02299 0.511497 0.859285i \(-0.329091\pi\)
0.511497 + 0.859285i \(0.329091\pi\)
\(770\) −8.89066 + 17.4916i −0.320397 + 0.630354i
\(771\) 11.7992 0.424939
\(772\) 10.8787 + 18.8425i 0.391533 + 0.678155i
\(773\) −14.6951 + 25.4526i −0.528545 + 0.915466i 0.470901 + 0.882186i \(0.343929\pi\)
−0.999446 + 0.0332805i \(0.989405\pi\)
\(774\)