Properties

Label 230.3.i.a.19.19
Level $230$
Weight $3$
Character 230.19
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.i (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.19
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.19

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28641 - 0.587486i) q^{2} +(0.00972304 + 0.0331137i) q^{3} +(1.30972 - 1.51150i) q^{4} +(1.88998 + 4.62904i) q^{5} +(0.0319617 + 0.0368857i) q^{6} +(-0.869641 - 6.04849i) q^{7} +(0.796860 - 2.71386i) q^{8} +(7.57028 - 4.86512i) q^{9} +O(q^{10})\) \(q+(1.28641 - 0.587486i) q^{2} +(0.00972304 + 0.0331137i) q^{3} +(1.30972 - 1.51150i) q^{4} +(1.88998 + 4.62904i) q^{5} +(0.0319617 + 0.0368857i) q^{6} +(-0.869641 - 6.04849i) q^{7} +(0.796860 - 2.71386i) q^{8} +(7.57028 - 4.86512i) q^{9} +(5.15079 + 4.84452i) q^{10} +(-0.789357 - 0.360487i) q^{11} +(0.0627857 + 0.0286733i) q^{12} +(12.0743 + 1.73602i) q^{13} +(-4.67212 - 7.26996i) q^{14} +(-0.134908 + 0.107592i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(19.6346 + 22.6595i) q^{17} +(6.88032 - 10.7060i) q^{18} +(-7.05521 - 6.11337i) q^{19} +(9.47213 + 3.20605i) q^{20} +(0.191832 - 0.0876067i) q^{21} -1.22722 q^{22} +(20.5841 - 10.2614i) q^{23} +0.0976136 q^{24} +(-17.8560 + 17.4975i) q^{25} +(16.5524 - 4.86022i) q^{26} +(0.469447 + 0.406778i) q^{27} +(-10.2813 - 6.60737i) q^{28} +(-13.1874 - 15.2191i) q^{29} +(-0.110339 + 0.217665i) q^{30} +(-43.4091 - 12.7460i) q^{31} +(-3.05833 - 4.75885i) q^{32} +(0.00426210 - 0.0296435i) q^{33} +(38.5703 + 17.6145i) q^{34} +(26.3551 - 15.4571i) q^{35} +(2.56133 - 17.8144i) q^{36} +(11.9429 - 7.67524i) q^{37} +(-12.6674 - 3.71949i) q^{38} +(0.0599128 + 0.416703i) q^{39} +(14.0686 - 1.44043i) q^{40} +(-45.5878 - 29.2975i) q^{41} +(0.195308 - 0.225397i) q^{42} +(-61.6500 + 18.1021i) q^{43} +(-1.57871 + 0.720974i) q^{44} +(36.8285 + 25.8481i) q^{45} +(20.4513 - 25.2932i) q^{46} +58.7319i q^{47} +(0.125571 - 0.0573466i) q^{48} +(11.1872 - 3.28487i) q^{49} +(-12.6906 + 32.9992i) q^{50} +(-0.559431 + 0.870491i) q^{51} +(18.4379 - 15.9765i) q^{52} +(0.467135 + 3.24899i) q^{53} +(0.842880 + 0.247492i) q^{54} +(0.176843 - 4.33528i) q^{55} +(-17.1077 - 2.45972i) q^{56} +(0.133838 - 0.293064i) q^{57} +(-25.9055 - 11.8307i) q^{58} +(-15.7619 + 109.627i) q^{59} +(-0.0140661 + 0.344829i) q^{60} +(-26.5531 + 90.4315i) q^{61} +(-63.3301 + 9.10550i) q^{62} +(-36.0101 - 41.5578i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(14.7840 + 59.1733i) q^{65} +(-0.0119323 - 0.0406378i) q^{66} +(-16.7830 - 36.7496i) q^{67} +59.9656 q^{68} +(0.539931 + 0.581843i) q^{69} +(24.8227 - 35.3675i) q^{70} +(-31.2064 - 68.3326i) q^{71} +(-7.17079 - 24.4215i) q^{72} +(-66.0949 - 57.2715i) q^{73} +(10.8544 - 16.8898i) q^{74} +(-0.753022 - 0.421147i) q^{75} +(-18.4807 + 2.65713i) q^{76} +(-1.49394 + 5.08791i) q^{77} +(0.321879 + 0.500854i) q^{78} +(66.1445 + 9.51014i) q^{79} +(17.2518 - 10.1181i) q^{80} +(33.6353 - 73.6509i) q^{81} +(-75.8566 - 10.9065i) q^{82} +(25.0249 - 16.0825i) q^{83} +(0.118829 - 0.404694i) q^{84} +(-67.7827 + 133.715i) q^{85} +(-68.6727 + 59.5052i) q^{86} +(0.375739 - 0.584661i) q^{87} +(-1.60732 + 1.85494i) q^{88} +(4.94644 + 16.8460i) q^{89} +(62.5621 + 11.6152i) q^{90} -74.5408i q^{91} +(11.4494 - 44.5523i) q^{92} -1.56136i q^{93} +(34.5042 + 75.5536i) q^{94} +(14.9649 - 44.2130i) q^{95} +(0.127847 - 0.147543i) q^{96} +(112.999 + 72.6201i) q^{97} +(12.4616 - 10.7980i) q^{98} +(-7.72947 + 1.11133i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + O(q^{10}) \) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + 154q^{15} - 96q^{16} + 44q^{20} + 16q^{24} - 84q^{25} + 32q^{26} - 100q^{29} - 352q^{30} + 124q^{31} + 28q^{35} - 192q^{36} + 72q^{39} + 116q^{41} - 148q^{46} - 188q^{49} + 144q^{50} + 324q^{54} + 796q^{55} - 264q^{56} + 400q^{59} + 176q^{60} - 616q^{61} + 192q^{64} + 462q^{65} - 176q^{66} + 120q^{69} - 504q^{70} + 464q^{71} - 528q^{74} - 934q^{75} - 968q^{79} - 264q^{80} + 664q^{81} - 352q^{84} - 1196q^{85} + 396q^{86} + 376q^{94} + 126q^{95} - 32q^{96} - 3300q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.28641 0.587486i 0.643207 0.293743i
\(3\) 0.00972304 + 0.0331137i 0.00324101 + 0.0110379i 0.961098 0.276209i \(-0.0890782\pi\)
−0.957857 + 0.287247i \(0.907260\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) 1.88998 + 4.62904i 0.377995 + 0.925807i
\(6\) 0.0319617 + 0.0368857i 0.00532694 + 0.00614762i
\(7\) −0.869641 6.04849i −0.124234 0.864070i −0.952675 0.303992i \(-0.901680\pi\)
0.828440 0.560078i \(-0.189229\pi\)
\(8\) 0.796860 2.71386i 0.0996075 0.339232i
\(9\) 7.57028 4.86512i 0.841142 0.540569i
\(10\) 5.15079 + 4.84452i 0.515079 + 0.484452i
\(11\) −0.789357 0.360487i −0.0717597 0.0327716i 0.379212 0.925310i \(-0.376195\pi\)
−0.450972 + 0.892538i \(0.648922\pi\)
\(12\) 0.0627857 + 0.0286733i 0.00523214 + 0.00238944i
\(13\) 12.0743 + 1.73602i 0.928790 + 0.133540i 0.590074 0.807349i \(-0.299098\pi\)
0.338716 + 0.940889i \(0.390008\pi\)
\(14\) −4.67212 7.26996i −0.333723 0.519283i
\(15\) −0.134908 + 0.107592i −0.00899387 + 0.00717282i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) 19.6346 + 22.6595i 1.15497 + 1.33291i 0.933850 + 0.357665i \(0.116427\pi\)
0.221124 + 0.975246i \(0.429027\pi\)
\(18\) 6.88032 10.7060i 0.382240 0.594777i
\(19\) −7.05521 6.11337i −0.371327 0.321756i 0.449129 0.893467i \(-0.351735\pi\)
−0.820455 + 0.571711i \(0.806280\pi\)
\(20\) 9.47213 + 3.20605i 0.473606 + 0.160303i
\(21\) 0.191832 0.0876067i 0.00913485 0.00417175i
\(22\) −1.22722 −0.0557828
\(23\) 20.5841 10.2614i 0.894960 0.446146i
\(24\) 0.0976136 0.00406723
\(25\) −17.8560 + 17.4975i −0.714239 + 0.699902i
\(26\) 16.5524 4.86022i 0.636631 0.186932i
\(27\) 0.469447 + 0.406778i 0.0173869 + 0.0150659i
\(28\) −10.2813 6.60737i −0.367188 0.235978i
\(29\) −13.1874 15.2191i −0.454740 0.524797i 0.481365 0.876521i \(-0.340141\pi\)
−0.936104 + 0.351723i \(0.885596\pi\)
\(30\) −0.110339 + 0.217665i −0.00367795 + 0.00725549i
\(31\) −43.4091 12.7460i −1.40029 0.411163i −0.507508 0.861647i \(-0.669433\pi\)
−0.892784 + 0.450484i \(0.851251\pi\)
\(32\) −3.05833 4.75885i −0.0955727 0.148714i
\(33\) 0.00426210 0.0296435i 0.000129154 0.000898289i
\(34\) 38.5703 + 17.6145i 1.13442 + 0.518072i
\(35\) 26.3551 15.4571i 0.753002 0.441631i
\(36\) 2.56133 17.8144i 0.0711480 0.494845i
\(37\) 11.9429 7.67524i 0.322781 0.207439i −0.369208 0.929347i \(-0.620371\pi\)
0.691989 + 0.721908i \(0.256735\pi\)
\(38\) −12.6674 3.71949i −0.333354 0.0978814i
\(39\) 0.0599128 + 0.416703i 0.00153623 + 0.0106847i
\(40\) 14.0686 1.44043i 0.351715 0.0360108i
\(41\) −45.5878 29.2975i −1.11190 0.714573i −0.150191 0.988657i \(-0.547989\pi\)
−0.961706 + 0.274084i \(0.911625\pi\)
\(42\) 0.195308 0.225397i 0.00465018 0.00536659i
\(43\) −61.6500 + 18.1021i −1.43372 + 0.420978i −0.904123 0.427271i \(-0.859475\pi\)
−0.529597 + 0.848250i \(0.677657\pi\)
\(44\) −1.57871 + 0.720974i −0.0358799 + 0.0163858i
\(45\) 36.8285 + 25.8481i 0.818411 + 0.574403i
\(46\) 20.4513 25.2932i 0.444592 0.549852i
\(47\) 58.7319i 1.24962i 0.780779 + 0.624808i \(0.214823\pi\)
−0.780779 + 0.624808i \(0.785177\pi\)
\(48\) 0.125571 0.0573466i 0.00261607 0.00119472i
\(49\) 11.1872 3.28487i 0.228311 0.0670382i
\(50\) −12.6906 + 32.9992i −0.253812 + 0.659984i
\(51\) −0.559431 + 0.870491i −0.0109692 + 0.0170685i
\(52\) 18.4379 15.9765i 0.354575 0.307241i
\(53\) 0.467135 + 3.24899i 0.00881386 + 0.0613018i 0.993754 0.111596i \(-0.0355962\pi\)
−0.984940 + 0.172897i \(0.944687\pi\)
\(54\) 0.842880 + 0.247492i 0.0156089 + 0.00458318i
\(55\) 0.176843 4.33528i 0.00321532 0.0788232i
\(56\) −17.1077 2.45972i −0.305495 0.0439235i
\(57\) 0.133838 0.293064i 0.00234803 0.00514148i
\(58\) −25.9055 11.8307i −0.446647 0.203977i
\(59\) −15.7619 + 109.627i −0.267151 + 1.85808i 0.207942 + 0.978141i \(0.433323\pi\)
−0.475093 + 0.879936i \(0.657586\pi\)
\(60\) −0.0140661 + 0.344829i −0.000234435 + 0.00574716i
\(61\) −26.5531 + 90.4315i −0.435296 + 1.48248i 0.391604 + 0.920134i \(0.371920\pi\)
−0.826900 + 0.562349i \(0.809898\pi\)
\(62\) −63.3301 + 9.10550i −1.02145 + 0.146863i
\(63\) −36.0101 41.5578i −0.571588 0.659648i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) 14.7840 + 59.1733i 0.227446 + 0.910358i
\(66\) −0.0119323 0.0406378i −0.000180793 0.000615724i
\(67\) −16.7830 36.7496i −0.250493 0.548502i 0.742058 0.670336i \(-0.233850\pi\)
−0.992551 + 0.121834i \(0.961123\pi\)
\(68\) 59.9656 0.881847
\(69\) 0.539931 + 0.581843i 0.00782509 + 0.00843250i
\(70\) 24.8227 35.3675i 0.354610 0.505249i
\(71\) −31.2064 68.3326i −0.439527 0.962431i −0.991685 0.128691i \(-0.958922\pi\)
0.552157 0.833740i \(-0.313805\pi\)
\(72\) −7.17079 24.4215i −0.0995943 0.339187i
\(73\) −66.0949 57.2715i −0.905409 0.784542i 0.0716675 0.997429i \(-0.477168\pi\)
−0.977077 + 0.212887i \(0.931713\pi\)
\(74\) 10.8544 16.8898i 0.146681 0.228241i
\(75\) −0.753022 0.421147i −0.0100403 0.00561529i
\(76\) −18.4807 + 2.65713i −0.243167 + 0.0349622i
\(77\) −1.49394 + 5.08791i −0.0194019 + 0.0660767i
\(78\) 0.321879 + 0.500854i 0.00412666 + 0.00642121i
\(79\) 66.1445 + 9.51014i 0.837272 + 0.120381i 0.547595 0.836743i \(-0.315543\pi\)
0.289676 + 0.957125i \(0.406452\pi\)
\(80\) 17.2518 10.1181i 0.215647 0.126476i
\(81\) 33.6353 73.6509i 0.415250 0.909271i
\(82\) −75.8566 10.9065i −0.925081 0.133007i
\(83\) 25.0249 16.0825i 0.301504 0.193765i −0.381137 0.924519i \(-0.624467\pi\)
0.682642 + 0.730753i \(0.260831\pi\)
\(84\) 0.118829 0.404694i 0.00141463 0.00481779i
\(85\) −67.7827 + 133.715i −0.797444 + 1.57312i
\(86\) −68.6727 + 59.5052i −0.798519 + 0.691921i
\(87\) 0.375739 0.584661i 0.00431884 0.00672024i
\(88\) −1.60732 + 1.85494i −0.0182650 + 0.0210789i
\(89\) 4.94644 + 16.8460i 0.0555780 + 0.189281i 0.982603 0.185718i \(-0.0594611\pi\)
−0.927025 + 0.374999i \(0.877643\pi\)
\(90\) 62.5621 + 11.6152i 0.695134 + 0.129058i
\(91\) 74.5408i 0.819129i
\(92\) 11.4494 44.5523i 0.124450 0.484265i
\(93\) 1.56136i 0.0167888i
\(94\) 34.5042 + 75.5536i 0.367065 + 0.803761i
\(95\) 14.9649 44.2130i 0.157525 0.465400i
\(96\) 0.127847 0.147543i 0.00133174 0.00153690i
\(97\) 112.999 + 72.6201i 1.16494 + 0.748661i 0.972558 0.232660i \(-0.0747429\pi\)
0.192380 + 0.981320i \(0.438379\pi\)
\(98\) 12.4616 10.7980i 0.127159 0.110184i
\(99\) −7.72947 + 1.11133i −0.0780754 + 0.0112256i
\(100\) 3.06117 + 49.9062i 0.0306117 + 0.499062i
\(101\) −32.5067 + 20.8908i −0.321848 + 0.206839i −0.691581 0.722299i \(-0.743086\pi\)
0.369733 + 0.929138i \(0.379449\pi\)
\(102\) −0.208258 + 1.44847i −0.00204175 + 0.0142007i
\(103\) 2.77210 6.07006i 0.0269136 0.0589326i −0.895698 0.444663i \(-0.853323\pi\)
0.922611 + 0.385731i \(0.126051\pi\)
\(104\) 14.3328 31.3845i 0.137815 0.301774i
\(105\) 0.768093 + 0.722422i 0.00731517 + 0.00688021i
\(106\) 2.50967 + 3.90512i 0.0236761 + 0.0368407i
\(107\) −77.3002 22.6974i −0.722431 0.212125i −0.100210 0.994966i \(-0.531951\pi\)
−0.622221 + 0.782841i \(0.713770\pi\)
\(108\) 1.22969 0.176803i 0.0113860 0.00163706i
\(109\) −147.615 + 127.909i −1.35426 + 1.17348i −0.386305 + 0.922371i \(0.626249\pi\)
−0.967960 + 0.251106i \(0.919206\pi\)
\(110\) −2.31942 5.68085i −0.0210856 0.0516441i
\(111\) 0.370277 + 0.320847i 0.00333583 + 0.00289051i
\(112\) −23.4526 + 6.88632i −0.209399 + 0.0614850i
\(113\) −22.1292 48.4561i −0.195833 0.428815i 0.786086 0.618118i \(-0.212105\pi\)
−0.981919 + 0.189303i \(0.939377\pi\)
\(114\) 0.455630i 0.00399675i
\(115\) 86.4037 + 75.8908i 0.751336 + 0.659920i
\(116\) −40.2756 −0.347203
\(117\) 99.8515 45.6007i 0.853432 0.389749i
\(118\) 44.1277 + 150.285i 0.373963 + 1.27360i
\(119\) 119.981 138.465i 1.00824 1.16357i
\(120\) 0.184487 + 0.451857i 0.00153740 + 0.00376547i
\(121\) −78.7450 90.8766i −0.650785 0.751046i
\(122\) 18.9689 + 131.932i 0.155483 + 1.08141i
\(123\) 0.526895 1.79444i 0.00428370 0.0145889i
\(124\) −76.1194 + 48.9190i −0.613866 + 0.394508i
\(125\) −114.744 49.5860i −0.917953 0.396688i
\(126\) −70.7385 32.3052i −0.561416 0.256390i
\(127\) 50.9674 + 23.2760i 0.401318 + 0.183276i 0.605841 0.795586i \(-0.292837\pi\)
−0.204522 + 0.978862i \(0.565564\pi\)
\(128\) −11.1986 1.61011i −0.0874887 0.0125790i
\(129\) −1.19885 1.86545i −0.00929342 0.0144608i
\(130\) 53.7818 + 67.4359i 0.413706 + 0.518738i
\(131\) −24.3466 169.335i −0.185852 1.29263i −0.842608 0.538527i \(-0.818981\pi\)
0.656756 0.754103i \(-0.271928\pi\)
\(132\) −0.0392240 0.0452669i −0.000297152 0.000342931i
\(133\) −30.8412 + 47.9898i −0.231888 + 0.360825i
\(134\) −43.1798 37.4155i −0.322237 0.279220i
\(135\) −0.995748 + 2.94189i −0.00737591 + 0.0217918i
\(136\) 77.1406 35.2289i 0.567210 0.259036i
\(137\) 22.8318 0.166655 0.0833276 0.996522i \(-0.473445\pi\)
0.0833276 + 0.996522i \(0.473445\pi\)
\(138\) 1.03640 + 0.431289i 0.00751014 + 0.00312528i
\(139\) 206.211 1.48353 0.741767 0.670658i \(-0.233988\pi\)
0.741767 + 0.670658i \(0.233988\pi\)
\(140\) 11.1544 60.0802i 0.0796743 0.429144i
\(141\) −1.94483 + 0.571053i −0.0137931 + 0.00405002i
\(142\) −80.2888 69.5707i −0.565414 0.489934i
\(143\) −8.90510 5.72296i −0.0622734 0.0400207i
\(144\) −23.5719 27.2034i −0.163694 0.188912i
\(145\) 45.5259 89.8090i 0.313972 0.619372i
\(146\) −118.672 34.8451i −0.812819 0.238665i
\(147\) 0.217548 + 0.338511i 0.00147992 + 0.00230280i
\(148\) 4.04076 28.1041i 0.0273025 0.189893i
\(149\) 122.948 + 56.1483i 0.825153 + 0.376835i 0.782804 0.622268i \(-0.213789\pi\)
0.0423486 + 0.999103i \(0.486516\pi\)
\(150\) −1.21612 0.0993798i −0.00810744 0.000662532i
\(151\) 5.15663 35.8652i 0.0341499 0.237518i −0.965596 0.260046i \(-0.916262\pi\)
0.999746 + 0.0225280i \(0.00717149\pi\)
\(152\) −22.2128 + 14.2753i −0.146137 + 0.0939166i
\(153\) 258.880 + 76.0141i 1.69203 + 0.496824i
\(154\) 1.06724 + 7.42283i 0.00693014 + 0.0482002i
\(155\) −23.0402 225.032i −0.148646 1.45182i
\(156\) 0.708315 + 0.455206i 0.00454048 + 0.00291799i
\(157\) 15.9489 18.4060i 0.101585 0.117236i −0.702680 0.711506i \(-0.748014\pi\)
0.804266 + 0.594270i \(0.202559\pi\)
\(158\) 90.6762 26.6249i 0.573900 0.168512i
\(159\) −0.103044 + 0.0470587i −0.000648076 + 0.000295966i
\(160\) 16.2487 23.1512i 0.101555 0.144695i
\(161\) −79.9664 115.579i −0.496686 0.717881i
\(162\) 114.506i 0.706826i
\(163\) −72.4088 + 33.0680i −0.444226 + 0.202871i −0.624953 0.780662i \(-0.714882\pi\)
0.180728 + 0.983533i \(0.442155\pi\)
\(164\) −103.990 + 30.5343i −0.634088 + 0.186185i
\(165\) 0.145276 0.0362962i 0.000880462 0.000219977i
\(166\) 22.7441 35.3905i 0.137013 0.213196i
\(167\) 20.1775 17.4839i 0.120823 0.104694i −0.592353 0.805678i \(-0.701801\pi\)
0.713177 + 0.700984i \(0.247256\pi\)
\(168\) −0.0848888 0.590414i −0.000505290 0.00351437i
\(169\) −19.3801 5.69051i −0.114675 0.0336716i
\(170\) −8.64104 + 211.834i −0.0508297 + 1.24608i
\(171\) −83.1522 11.9555i −0.486270 0.0699151i
\(172\) −53.3830 + 116.893i −0.310366 + 0.679608i
\(173\) 101.792 + 46.4870i 0.588395 + 0.268711i 0.687286 0.726387i \(-0.258802\pi\)
−0.0988904 + 0.995098i \(0.531529\pi\)
\(174\) 0.139876 0.972857i 0.000803883 0.00559113i
\(175\) 121.362 + 92.7850i 0.693497 + 0.530200i
\(176\) −0.977923 + 3.33050i −0.00555638 + 0.0189233i
\(177\) −3.78339 + 0.543969i −0.0213751 + 0.00307327i
\(178\) 16.2600 + 18.7650i 0.0913482 + 0.105421i
\(179\) −86.6806 55.7062i −0.484249 0.311208i 0.275640 0.961261i \(-0.411110\pi\)
−0.759889 + 0.650053i \(0.774747\pi\)
\(180\) 87.3045 21.8124i 0.485025 0.121180i
\(181\) 55.2311 + 188.100i 0.305144 + 1.03923i 0.959188 + 0.282769i \(0.0912530\pi\)
−0.654044 + 0.756457i \(0.726929\pi\)
\(182\) −43.7916 95.8903i −0.240613 0.526870i
\(183\) −3.25269 −0.0177743
\(184\) −11.4452 64.0391i −0.0622022 0.348039i
\(185\) 58.1008 + 40.7781i 0.314058 + 0.220422i
\(186\) −0.917278 2.00856i −0.00493160 0.0107987i
\(187\) −7.33022 24.9644i −0.0391990 0.133500i
\(188\) 88.7732 + 76.9225i 0.472198 + 0.409162i
\(189\) 2.05214 3.19320i 0.0108579 0.0168952i
\(190\) −6.72348 65.6678i −0.0353867 0.345620i
\(191\) 204.057 29.3389i 1.06836 0.153607i 0.414369 0.910109i \(-0.364002\pi\)
0.653991 + 0.756502i \(0.273093\pi\)
\(192\) 0.0777844 0.264909i 0.000405127 0.00137974i
\(193\) 126.116 + 196.241i 0.653453 + 1.01679i 0.996981 + 0.0776503i \(0.0247418\pi\)
−0.343528 + 0.939143i \(0.611622\pi\)
\(194\) 188.027 + 27.0342i 0.969210 + 0.139351i
\(195\) −1.81570 + 1.06490i −0.00931127 + 0.00546101i
\(196\) 9.68709 21.2118i 0.0494239 0.108223i
\(197\) 244.276 + 35.1216i 1.23998 + 0.178282i 0.730928 0.682454i \(-0.239087\pi\)
0.509051 + 0.860736i \(0.329996\pi\)
\(198\) −9.29040 + 5.97058i −0.0469212 + 0.0301544i
\(199\) 66.1612 225.324i 0.332468 1.13228i −0.608434 0.793605i \(-0.708202\pi\)
0.940902 0.338678i \(-0.109980\pi\)
\(200\) 33.2571 + 62.4016i 0.166286 + 0.312008i
\(201\) 1.05373 0.913065i 0.00524245 0.00454261i
\(202\) −29.5440 + 45.9714i −0.146258 + 0.227581i
\(203\) −80.5843 + 92.9993i −0.396967 + 0.458125i
\(204\) 0.583048 + 1.98568i 0.00285808 + 0.00973372i
\(205\) 49.4593 266.399i 0.241265 1.29951i
\(206\) 9.43717i 0.0458115i
\(207\) 105.905 177.825i 0.511616 0.859060i
\(208\) 48.7937i 0.234585i
\(209\) 3.36528 + 7.36895i 0.0161018 + 0.0352581i
\(210\) 1.41250 + 0.478091i 0.00672618 + 0.00227662i
\(211\) −57.4827 + 66.3385i −0.272430 + 0.314401i −0.875434 0.483337i \(-0.839425\pi\)
0.603005 + 0.797738i \(0.293970\pi\)
\(212\) 5.52267 + 3.54920i 0.0260503 + 0.0167415i
\(213\) 1.95932 1.69776i 0.00919868 0.00797071i
\(214\) −112.774 + 16.2145i −0.526983 + 0.0757687i
\(215\) −200.312 251.167i −0.931684 1.16822i
\(216\) 1.47802 0.949867i 0.00684269 0.00439753i
\(217\) −39.3440 + 273.644i −0.181309 + 1.26103i
\(218\) −114.749 + 251.265i −0.526372 + 1.15259i
\(219\) 1.25383 2.74550i 0.00572523 0.0125365i
\(220\) −6.32115 5.94530i −0.0287325 0.0270241i
\(221\) 197.736 + 307.683i 0.894731 + 1.39223i
\(222\) 0.664822 + 0.195209i 0.00299469 + 0.000879321i
\(223\) −408.838 + 58.7820i −1.83335 + 0.263596i −0.970368 0.241633i \(-0.922317\pi\)
−0.862985 + 0.505230i \(0.831408\pi\)
\(224\) −26.1242 + 22.6367i −0.116626 + 0.101057i
\(225\) −50.0470 + 219.333i −0.222431 + 0.974813i
\(226\) −56.9345 49.3340i −0.251923 0.218292i
\(227\) 306.892 90.1115i 1.35195 0.396967i 0.476029 0.879430i \(-0.342076\pi\)
0.875917 + 0.482463i \(0.160258\pi\)
\(228\) −0.267676 0.586129i −0.00117402 0.00257074i
\(229\) 52.1414i 0.227692i −0.993498 0.113846i \(-0.963683\pi\)
0.993498 0.113846i \(-0.0363170\pi\)
\(230\) 155.736 + 46.8660i 0.677111 + 0.203765i
\(231\) −0.183005 −0.000792229
\(232\) −51.8111 + 23.6613i −0.223324 + 0.101988i
\(233\) −117.127 398.896i −0.502689 1.71200i −0.684807 0.728725i \(-0.740113\pi\)
0.182117 0.983277i \(-0.441705\pi\)
\(234\) 101.661 117.323i 0.434447 0.501379i
\(235\) −271.872 + 111.002i −1.15690 + 0.472349i
\(236\) 145.057 + 167.404i 0.614647 + 0.709340i
\(237\) 0.328210 + 2.28275i 0.00138485 + 0.00963186i
\(238\) 72.9985 248.610i 0.306716 1.04458i
\(239\) −233.886 + 150.309i −0.978602 + 0.628910i −0.929086 0.369864i \(-0.879404\pi\)
−0.0495164 + 0.998773i \(0.515768\pi\)
\(240\) 0.502787 + 0.472891i 0.00209494 + 0.00197038i
\(241\) −164.597 75.1689i −0.682975 0.311904i 0.0435430 0.999052i \(-0.486135\pi\)
−0.726518 + 0.687147i \(0.758863\pi\)
\(242\) −154.687 70.6434i −0.639204 0.291915i
\(243\) 8.29950 + 1.19329i 0.0341543 + 0.00491065i
\(244\) 101.910 + 158.575i 0.417664 + 0.649898i
\(245\) 36.3494 + 45.5778i 0.148365 + 0.186032i
\(246\) −0.376402 2.61793i −0.00153009 0.0106420i
\(247\) −74.5736 86.0625i −0.301917 0.348431i
\(248\) −69.1819 + 107.649i −0.278959 + 0.434069i
\(249\) 0.775868 + 0.672294i 0.00311594 + 0.00269998i
\(250\) −176.740 + 3.62241i −0.706958 + 0.0144896i
\(251\) 62.6190 28.5972i 0.249478 0.113933i −0.286751 0.958005i \(-0.592575\pi\)
0.536230 + 0.844072i \(0.319848\pi\)
\(252\) −109.978 −0.436420
\(253\) −19.9473 + 0.679574i −0.0788430 + 0.00268606i
\(254\) 79.2395 0.311967
\(255\) −5.08685 0.944417i −0.0199484 0.00370360i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) −318.770 276.216i −1.24035 1.07477i −0.994421 0.105483i \(-0.966361\pi\)
−0.245930 0.969288i \(-0.579093\pi\)
\(258\) −2.63814 1.69543i −0.0102254 0.00657144i
\(259\) −56.8096 65.5618i −0.219342 0.253134i
\(260\) 108.803 + 55.1545i 0.418474 + 0.212133i
\(261\) −173.876 51.0545i −0.666190 0.195611i
\(262\) −130.801 203.531i −0.499242 0.776836i
\(263\) −12.7624 + 88.7647i −0.0485264 + 0.337508i 0.951067 + 0.308985i \(0.0999894\pi\)
−0.999593 + 0.0285228i \(0.990920\pi\)
\(264\) −0.0770520 0.0351885i −0.000291863 0.000133290i
\(265\) −14.1568 + 8.30291i −0.0534220 + 0.0313317i
\(266\) −11.4812 + 79.8534i −0.0431624 + 0.300201i
\(267\) −0.509739 + 0.327590i −0.00190914 + 0.00122693i
\(268\) −77.5281 22.7643i −0.289284 0.0849414i
\(269\) −49.6147 345.078i −0.184441 1.28282i −0.846105 0.533017i \(-0.821058\pi\)
0.661663 0.749801i \(-0.269851\pi\)
\(270\) 0.447375 + 4.36948i 0.00165694 + 0.0161833i
\(271\) 242.847 + 156.068i 0.896114 + 0.575898i 0.905635 0.424057i \(-0.139394\pi\)
−0.00952138 + 0.999955i \(0.503031\pi\)
\(272\) 78.5382 90.6379i 0.288743 0.333228i
\(273\) 2.46832 0.724763i 0.00904145 0.00265481i
\(274\) 29.3711 13.4133i 0.107194 0.0489538i
\(275\) 20.4024 7.37496i 0.0741905 0.0268180i
\(276\) 1.58661 0.0540536i 0.00574860 0.000195846i
\(277\) 279.737i 1.00988i 0.863154 + 0.504941i \(0.168486\pi\)
−0.863154 + 0.504941i \(0.831514\pi\)
\(278\) 265.273 121.146i 0.954219 0.435777i
\(279\) −390.630 + 114.699i −1.40011 + 0.411108i
\(280\) −20.9470 83.8410i −0.0748109 0.299432i
\(281\) −117.982 + 183.583i −0.419864 + 0.653320i −0.985174 0.171558i \(-0.945120\pi\)
0.565311 + 0.824878i \(0.308756\pi\)
\(282\) −2.16637 + 1.87717i −0.00768216 + 0.00665663i
\(283\) 31.4531 + 218.761i 0.111142 + 0.773007i 0.966813 + 0.255487i \(0.0822357\pi\)
−0.855671 + 0.517520i \(0.826855\pi\)
\(284\) −144.156 42.3281i −0.507593 0.149043i
\(285\) 1.60956 + 0.0656563i 0.00564757 + 0.000230373i
\(286\) −14.8178 2.13048i −0.0518105 0.00744922i
\(287\) −137.560 + 301.215i −0.479305 + 1.04953i
\(288\) −46.3048 21.1467i −0.160780 0.0734260i
\(289\) −86.8075 + 603.759i −0.300372 + 2.08913i
\(290\) 5.80371 142.277i 0.0200128 0.490612i
\(291\) −1.30602 + 4.44790i −0.00448804 + 0.0152849i
\(292\) −173.132 + 24.8926i −0.592917 + 0.0852486i
\(293\) −11.8223 13.6437i −0.0403491 0.0465654i 0.735216 0.677833i \(-0.237081\pi\)
−0.775565 + 0.631267i \(0.782535\pi\)
\(294\) 0.478727 + 0.307659i 0.00162832 + 0.00104646i
\(295\) −537.255 + 134.229i −1.82120 + 0.455014i
\(296\) −11.3127 38.5274i −0.0382185 0.130160i
\(297\) −0.223923 0.490323i −0.000753950 0.00165092i
\(298\) 191.148 0.641436
\(299\) 266.352 88.1641i 0.890808 0.294863i
\(300\) −1.62281 + 0.586607i −0.00540938 + 0.00195536i
\(301\) 163.103 + 357.147i 0.541872 + 1.18653i
\(302\) −14.4367 49.1669i −0.0478036 0.162804i
\(303\) −1.00783 0.873293i −0.00332618 0.00288216i
\(304\) −20.1883 + 31.4137i −0.0664090 + 0.103334i
\(305\) −468.795 + 47.9982i −1.53703 + 0.157371i
\(306\) 377.684 54.3028i 1.23426 0.177460i
\(307\) −85.9053 + 292.567i −0.279822 + 0.952986i 0.692904 + 0.721030i \(0.256331\pi\)
−0.972726 + 0.231956i \(0.925487\pi\)
\(308\) 5.73372 + 8.92184i 0.0186160 + 0.0289670i
\(309\) 0.227955 + 0.0327750i 0.000737718 + 0.000106068i
\(310\) −161.842 275.948i −0.522072 0.890156i
\(311\) 10.0007 21.8984i 0.0321565 0.0704128i −0.892872 0.450310i \(-0.851313\pi\)
0.925029 + 0.379897i \(0.124041\pi\)
\(312\) 1.17861 + 0.169459i 0.00377760 + 0.000543138i
\(313\) 143.810 92.4212i 0.459457 0.295275i −0.290363 0.956916i \(-0.593776\pi\)
0.749821 + 0.661641i \(0.230140\pi\)
\(314\) 9.70361 33.0475i 0.0309032 0.105247i
\(315\) 124.315 245.235i 0.394649 0.778525i
\(316\) 101.005 87.5217i 0.319637 0.276967i
\(317\) −64.7724 + 100.788i −0.204329 + 0.317943i −0.928261 0.371929i \(-0.878697\pi\)
0.723932 + 0.689871i \(0.242333\pi\)
\(318\) −0.104911 + 0.121074i −0.000329909 + 0.000380735i
\(319\) 4.92330 + 16.7672i 0.0154336 + 0.0525618i
\(320\) 7.30157 39.3279i 0.0228174 0.122900i
\(321\) 2.78038i 0.00866161i
\(322\) −170.771 101.703i −0.530344 0.315848i
\(323\) 279.901i 0.866566i
\(324\) −67.2705 147.302i −0.207625 0.454635i
\(325\) −245.974 + 180.272i −0.756843 + 0.554682i
\(326\) −73.7207 + 85.0783i −0.226137 + 0.260976i
\(327\) −5.67080 3.64440i −0.0173419 0.0111450i
\(328\) −115.836 + 100.373i −0.353159 + 0.306014i
\(329\) 355.239 51.0757i 1.07975 0.155245i
\(330\) 0.165562 0.132040i 0.000501703 0.000400120i
\(331\) −140.504 + 90.2964i −0.424483 + 0.272799i −0.735393 0.677641i \(-0.763003\pi\)
0.310910 + 0.950439i \(0.399366\pi\)
\(332\) 8.46691 58.8887i 0.0255027 0.177376i
\(333\) 53.0702 116.207i 0.159370 0.348971i
\(334\) 15.6851 34.3455i 0.0469613 0.102831i
\(335\) 138.396 147.145i 0.413122 0.439239i
\(336\) −0.456062 0.709646i −0.00135733 0.00211204i
\(337\) 187.980 + 55.1960i 0.557805 + 0.163786i 0.548470 0.836170i \(-0.315210\pi\)
0.00933470 + 0.999956i \(0.497029\pi\)
\(338\) −28.2739 + 4.06517i −0.0836506 + 0.0120271i
\(339\) 1.38940 1.20392i 0.00409851 0.00355138i
\(340\) 113.334 + 277.583i 0.333334 + 0.816420i
\(341\) 29.6705 + 25.7096i 0.0870101 + 0.0753947i
\(342\) −113.992 + 33.4710i −0.333309 + 0.0978685i
\(343\) −153.982 337.174i −0.448928 0.983016i
\(344\) 181.734i 0.528296i
\(345\) −1.67291 + 3.59903i −0.00484903 + 0.0104320i
\(346\) 158.258 0.457392
\(347\) 437.868 199.968i 1.26187 0.576276i 0.331691 0.943388i \(-0.392381\pi\)
0.930177 + 0.367112i \(0.119653\pi\)
\(348\) −0.391601 1.33367i −0.00112529 0.00383239i
\(349\) −165.998 + 191.571i −0.475638 + 0.548915i −0.941971 0.335694i \(-0.891029\pi\)
0.466334 + 0.884609i \(0.345575\pi\)
\(350\) 210.632 + 48.0616i 0.601805 + 0.137319i
\(351\) 4.96206 + 5.72652i 0.0141369 + 0.0163149i
\(352\) 0.698607 + 4.85892i 0.00198468 + 0.0138037i
\(353\) −88.2043 + 300.396i −0.249870 + 0.850981i 0.735056 + 0.678006i \(0.237156\pi\)
−0.984926 + 0.172974i \(0.944662\pi\)
\(354\) −4.54743 + 2.92246i −0.0128458 + 0.00825552i
\(355\) 257.335 273.603i 0.724886 0.770712i
\(356\) 31.9412 + 14.5871i 0.0897226 + 0.0409749i
\(357\) 5.75166 + 2.62669i 0.0161111 + 0.00735769i
\(358\) −144.234 20.7377i −0.402887 0.0579265i
\(359\) 208.372 + 324.234i 0.580425 + 0.903158i 0.999990 0.00456690i \(-0.00145370\pi\)
−0.419565 + 0.907725i \(0.637817\pi\)
\(360\) 99.4953 79.3499i 0.276376 0.220416i
\(361\) −38.9730 271.063i −0.107959 0.750868i
\(362\) 181.556 + 209.527i 0.501536 + 0.578803i
\(363\) 2.24361 3.49113i 0.00618076 0.00961744i
\(364\) −112.668 97.6276i −0.309528 0.268208i
\(365\) 140.194 414.198i 0.384094 1.13479i
\(366\) −4.18431 + 1.91091i −0.0114325 + 0.00522107i
\(367\) 654.177 1.78250 0.891249 0.453514i \(-0.149830\pi\)
0.891249 + 0.453514i \(0.149830\pi\)
\(368\) −52.3453 75.6569i −0.142243 0.205589i
\(369\) −487.648 −1.32154
\(370\) 98.6982 + 18.3242i 0.266752 + 0.0495248i
\(371\) 19.2453 5.65092i 0.0518740 0.0152316i
\(372\) −2.36000 2.04495i −0.00634408 0.00549718i
\(373\) −121.316 77.9652i −0.325245 0.209022i 0.367821 0.929897i \(-0.380104\pi\)
−0.693065 + 0.720875i \(0.743740\pi\)
\(374\) −24.0959 27.8082i −0.0644276 0.0743535i
\(375\) 0.526311 4.28173i 0.00140350 0.0114179i
\(376\) 159.390 + 46.8011i 0.423910 + 0.124471i
\(377\) −132.808 206.653i −0.352276 0.548152i
\(378\) 0.763948 5.31338i 0.00202103 0.0140566i
\(379\) −461.018 210.540i −1.21641 0.555514i −0.299301 0.954159i \(-0.596753\pi\)
−0.917105 + 0.398645i \(0.869481\pi\)
\(380\) −47.2281 80.5260i −0.124284 0.211911i
\(381\) −0.275196 + 1.91403i −0.000722300 + 0.00502371i
\(382\) 245.265 157.622i 0.642056 0.412624i
\(383\) −155.583 45.6833i −0.406222 0.119278i 0.0722369 0.997388i \(-0.476986\pi\)
−0.478459 + 0.878110i \(0.658804\pi\)
\(384\) −0.0555674 0.386480i −0.000144707 0.00100646i
\(385\) −26.3756 + 2.70050i −0.0685082 + 0.00701430i
\(386\) 277.527 + 178.356i 0.718981 + 0.462061i
\(387\) −378.639 + 436.972i −0.978395 + 1.12913i
\(388\) 257.762 75.6859i 0.664336 0.195067i
\(389\) 449.155 205.122i 1.15464 0.527306i 0.256296 0.966598i \(-0.417498\pi\)
0.898344 + 0.439292i \(0.144771\pi\)
\(390\) −1.71013 + 2.43659i −0.00438494 + 0.00624768i
\(391\) 636.676 + 264.948i 1.62833 + 0.677615i
\(392\) 32.9781i 0.0841279i
\(393\) 5.37056 2.45265i 0.0136656 0.00624085i
\(394\) 334.873 98.3277i 0.849932 0.249563i
\(395\) 80.9887 + 324.159i 0.205035 + 0.820656i
\(396\) −8.44368 + 13.1386i −0.0213224 + 0.0331783i
\(397\) 199.715 173.054i 0.503061 0.435905i −0.365996 0.930616i \(-0.619272\pi\)
0.869057 + 0.494712i \(0.164726\pi\)
\(398\) −47.2641 328.729i −0.118754 0.825953i
\(399\) −1.88899 0.554656i −0.00473430 0.00139012i
\(400\) 79.4425 + 60.7363i 0.198606 + 0.151841i
\(401\) 377.428 + 54.2659i 0.941217 + 0.135327i 0.595809 0.803126i \(-0.296832\pi\)
0.345408 + 0.938453i \(0.387741\pi\)
\(402\) 0.819124 1.79363i 0.00203762 0.00446177i
\(403\) −502.005 229.258i −1.24567 0.568879i
\(404\) −10.9983 + 76.4949i −0.0272235 + 0.189344i
\(405\) 404.503 + 16.5003i 0.998772 + 0.0407415i
\(406\) −49.0291 + 166.978i −0.120761 + 0.411275i
\(407\) −12.1940 + 1.75324i −0.0299608 + 0.00430771i
\(408\) 1.91660 + 2.21187i 0.00469755 + 0.00542126i
\(409\) −558.396 358.860i −1.36527 0.877407i −0.366675 0.930349i \(-0.619504\pi\)
−0.998598 + 0.0529420i \(0.983140\pi\)
\(410\) −92.8805 371.756i −0.226538 0.906722i
\(411\) 0.221994 + 0.756043i 0.000540132 + 0.00183952i
\(412\) −5.54420 12.1401i −0.0134568 0.0294663i
\(413\) 676.782 1.63870
\(414\) 31.7671 290.975i 0.0767322 0.702837i
\(415\) 121.743 + 85.4455i 0.293356 + 0.205893i
\(416\) −28.6656 62.7689i −0.0689077 0.150887i
\(417\) 2.00500 + 6.82840i 0.00480815 + 0.0163751i
\(418\) 8.65830 + 7.50246i 0.0207136 + 0.0179485i
\(419\) 94.6408 147.264i 0.225873 0.351465i −0.709758 0.704446i \(-0.751196\pi\)
0.935631 + 0.352981i \(0.114832\pi\)
\(420\) 2.09793 0.214799i 0.00499507 0.000511426i
\(421\) 267.384 38.4441i 0.635118 0.0913161i 0.182767 0.983156i \(-0.441495\pi\)
0.452351 + 0.891840i \(0.350586\pi\)
\(422\) −34.9736 + 119.109i −0.0828757 + 0.282249i
\(423\) 285.738 + 444.617i 0.675504 + 1.05110i
\(424\) 9.18954 + 1.32126i 0.0216735 + 0.00311617i
\(425\) −747.080 61.0506i −1.75783 0.143649i
\(426\) 1.52309 3.33509i 0.00357532 0.00782886i
\(427\) 570.065 + 81.9630i 1.33505 + 0.191951i
\(428\) −135.549 + 87.1119i −0.316703 + 0.203532i
\(429\) 0.102923 0.350525i 0.000239915 0.000817074i
\(430\) −405.242 205.425i −0.942422 0.477732i
\(431\) −100.221 + 86.8416i −0.232530 + 0.201489i −0.763330 0.646008i \(-0.776437\pi\)
0.530800 + 0.847497i \(0.321892\pi\)
\(432\) 1.34331 2.09024i 0.00310953 0.00483852i
\(433\) 149.884 172.976i 0.346153 0.399482i −0.555800 0.831316i \(-0.687588\pi\)
0.901953 + 0.431834i \(0.142133\pi\)
\(434\) 110.149 + 375.133i 0.253799 + 0.864362i
\(435\) 3.41655 + 0.634313i 0.00785415 + 0.00145819i
\(436\) 390.645i 0.895974i
\(437\) −207.957 53.4422i −0.475873 0.122293i
\(438\) 4.26845i 0.00974532i
\(439\) −200.772 439.629i −0.457339 1.00143i −0.988086 0.153902i \(-0.950816\pi\)
0.530747 0.847530i \(-0.321911\pi\)
\(440\) −11.6244 3.93453i −0.0264191 0.00894212i
\(441\) 68.7092 79.2947i 0.155803 0.179807i
\(442\) 435.129 + 279.640i 0.984455 + 0.632671i
\(443\) 36.9542 32.0210i 0.0834181 0.0722822i −0.612154 0.790739i \(-0.709697\pi\)
0.695572 + 0.718457i \(0.255151\pi\)
\(444\) 0.969919 0.139453i 0.00218450 0.000314084i
\(445\) −68.6323 + 54.7359i −0.154230 + 0.123002i
\(446\) −491.401 + 315.804i −1.10180 + 0.708081i
\(447\) −0.663850 + 4.61718i −0.00148512 + 0.0103293i
\(448\) −20.3078 + 44.4678i −0.0453298 + 0.0992585i
\(449\) 295.991 648.131i 0.659224 1.44350i −0.224020 0.974585i \(-0.571918\pi\)
0.883244 0.468914i \(-0.155355\pi\)
\(450\) 64.4737 + 311.555i 0.143275 + 0.692344i
\(451\) 25.4237 + 39.5600i 0.0563718 + 0.0877162i
\(452\) −102.224 30.0158i −0.226160 0.0664066i
\(453\) 1.23776 0.177964i 0.00273237 0.000392856i
\(454\) 341.850 296.215i 0.752975 0.652456i
\(455\) 345.052 140.880i 0.758356 0.309627i
\(456\) −0.688684 0.596748i −0.00151027 0.00130866i
\(457\) −300.101 + 88.1175i −0.656675 + 0.192817i −0.593061 0.805157i \(-0.702081\pi\)
−0.0636139 + 0.997975i \(0.520263\pi\)
\(458\) −30.6323 67.0755i −0.0668829 0.146453i
\(459\) 18.6244i 0.0405759i
\(460\) 227.874 31.2033i 0.495377 0.0678332i
\(461\) 399.052 0.865623 0.432811 0.901485i \(-0.357522\pi\)
0.432811 + 0.901485i \(0.357522\pi\)
\(462\) −0.235420 + 0.107513i −0.000509567 + 0.000232712i
\(463\) 149.008 + 507.475i 0.321831 + 1.09606i 0.948502 + 0.316773i \(0.102599\pi\)
−0.626670 + 0.779285i \(0.715583\pi\)
\(464\) −52.7498 + 60.8765i −0.113685 + 0.131199i
\(465\) 7.22761 2.95094i 0.0155432 0.00634611i
\(466\) −385.019 444.336i −0.826221 0.953510i
\(467\) −22.1729 154.216i −0.0474795 0.330227i −0.999693 0.0247929i \(-0.992107\pi\)
0.952213 0.305435i \(-0.0988017\pi\)
\(468\) 61.8523 210.650i 0.132163 0.450106i
\(469\) −207.685 + 133.471i −0.442824 + 0.284586i
\(470\) −284.528 + 302.516i −0.605379 + 0.643650i
\(471\) 0.764561 + 0.349163i 0.00162327 + 0.000741324i
\(472\) 284.951 + 130.133i 0.603709 + 0.275705i
\(473\) 55.1894 + 7.93504i 0.116679 + 0.0167760i
\(474\) 1.76330 + 2.74375i 0.00372004 + 0.00578849i
\(475\) 232.947 14.2886i 0.490414 0.0300813i
\(476\) −52.1485 362.701i −0.109556 0.761977i
\(477\) 19.3431 + 22.3231i 0.0405516 + 0.0467990i
\(478\) −212.570 + 330.765i −0.444706 + 0.691976i
\(479\) 307.106 + 266.109i 0.641140 + 0.555551i 0.913599 0.406616i \(-0.133291\pi\)
−0.272459 + 0.962167i \(0.587837\pi\)
\(480\) 0.924608 + 0.312954i 0.00192627 + 0.000651988i
\(481\) 157.526 71.9398i 0.327497 0.149563i
\(482\) −255.901 −0.530914
\(483\) 3.04972 3.77176i 0.00631412 0.00780903i
\(484\) −240.494 −0.496888
\(485\) −122.595 + 660.327i −0.252774 + 1.36150i
\(486\) 11.3776 3.34077i 0.0234108 0.00687402i
\(487\) 30.3963 + 26.3385i 0.0624153 + 0.0540832i 0.685510 0.728063i \(-0.259579\pi\)
−0.623095 + 0.782147i \(0.714125\pi\)
\(488\) 224.259 + 144.122i 0.459547 + 0.295333i
\(489\) −1.79904 2.07620i −0.00367901 0.00424581i
\(490\) 73.5367 + 37.2772i 0.150075 + 0.0760759i
\(491\) −212.265 62.3267i −0.432312 0.126938i 0.0583344 0.998297i \(-0.481421\pi\)
−0.490646 + 0.871359i \(0.663239\pi\)
\(492\) −2.02221 3.14662i −0.00411018 0.00639556i
\(493\) 85.9279 597.642i 0.174296 1.21225i
\(494\) −146.493 66.9011i −0.296544 0.135427i
\(495\) −19.7529 33.6796i −0.0399049 0.0680396i
\(496\) −25.7542 + 179.125i −0.0519239 + 0.361138i
\(497\) −386.170 + 248.177i −0.777003 + 0.499349i
\(498\) 1.39305 + 0.409037i 0.00279729 + 0.000821359i
\(499\) 26.2310 + 182.441i 0.0525671 + 0.365612i 0.999078 + 0.0429395i \(0.0136723\pi\)
−0.946511 + 0.322673i \(0.895419\pi\)
\(500\) −225.232 + 108.492i −0.450464 + 0.216984i
\(501\) 0.775143 + 0.498154i 0.00154719 + 0.000994320i
\(502\) 63.7536 73.5756i 0.126999 0.146565i
\(503\) −312.774 + 91.8387i −0.621817 + 0.182582i −0.577440 0.816433i \(-0.695948\pi\)
−0.0443766 + 0.999015i \(0.514130\pi\)
\(504\) −141.477 + 64.6103i −0.280708 + 0.128195i
\(505\) −158.141 110.992i −0.313151 0.219785i
\(506\) −25.2612 + 12.5930i −0.0499234 + 0.0248873i
\(507\) 0.697075i 0.00137490i
\(508\) 101.935 46.5521i 0.200659 0.0916380i
\(509\) 216.556 63.5867i 0.425455 0.124925i −0.0619938 0.998077i \(-0.519746\pi\)
0.487448 + 0.873152i \(0.337928\pi\)
\(510\) −7.09862 + 1.77354i −0.0139189 + 0.00347752i
\(511\) −288.927 + 449.580i −0.565415 + 0.879804i
\(512\) −17.1007 + 14.8178i −0.0333997 + 0.0289410i
\(513\) −0.825261 5.73981i −0.00160870 0.0111887i
\(514\) −572.343 168.055i −1.11351 0.326956i
\(515\) 33.3377 + 1.35990i 0.0647335 + 0.00264058i
\(516\) −4.38978 0.631156i −0.00850733 0.00122317i
\(517\) 21.1721 46.3605i 0.0409519 0.0896721i
\(518\) −111.597 50.9648i −0.215439 0.0983876i
\(519\) −0.549623 + 3.82271i −0.00105900 + 0.00736554i
\(520\) 172.369 + 7.03118i 0.331478 + 0.0135215i
\(521\) 108.427 369.269i 0.208114 0.708770i −0.787592 0.616197i \(-0.788673\pi\)
0.995706 0.0925734i \(-0.0295093\pi\)
\(522\) −253.670 + 36.4722i −0.485957 + 0.0698701i
\(523\) 115.107 + 132.841i 0.220091 + 0.253998i 0.855048 0.518549i \(-0.173528\pi\)
−0.634957 + 0.772547i \(0.718982\pi\)
\(524\) −287.836 184.981i −0.549306 0.353018i
\(525\) −1.89244 + 4.92089i −0.00360465 + 0.00937313i
\(526\) 35.7302 + 121.686i 0.0679281 + 0.231342i
\(527\) −563.499 1233.89i −1.06926 2.34135i
\(528\) −0.119793 −0.000226881
\(529\) 318.409 422.441i 0.601908 0.798566i
\(530\) −13.3337 + 18.9979i −0.0251580 + 0.0358451i
\(531\) 414.024 + 906.587i 0.779707 + 1.70732i
\(532\) 32.1432 + 109.470i 0.0604195 + 0.205770i
\(533\) −499.578 432.887i −0.937295 0.812171i
\(534\) −0.463282 + 0.720880i −0.000867569 + 0.00134996i
\(535\) −41.0285 400.723i −0.0766888 0.749015i
\(536\) −113.107 + 16.2623i −0.211020 + 0.0303402i
\(537\) 1.00184 3.41194i 0.00186562 0.00635371i
\(538\) −266.553 414.765i −0.495453 0.770939i
\(539\) −10.0149 1.43992i −0.0185805 0.00267147i
\(540\) 3.14251 + 5.35813i 0.00581947 + 0.00992246i
\(541\) 89.9297 196.919i 0.166229 0.363990i −0.808125 0.589010i \(-0.799518\pi\)
0.974354 + 0.225021i \(0.0722449\pi\)
\(542\) 404.089 + 58.0993i 0.745553 + 0.107194i
\(543\) −5.69166 + 3.65781i −0.0104819 + 0.00673629i
\(544\) 47.7842 162.738i 0.0878386 0.299151i
\(545\) −871.084 441.570i −1.59832 0.810219i
\(546\) 2.74949 2.38245i 0.00503569 0.00436345i
\(547\) 90.9899 141.583i 0.166344 0.258836i −0.748067 0.663623i \(-0.769018\pi\)
0.914411 + 0.404787i \(0.132654\pi\)
\(548\) 29.9032 34.5102i 0.0545680 0.0629748i
\(549\) 238.946 + 813.776i 0.435239 + 1.48229i
\(550\) 21.9132 21.4734i 0.0398422 0.0390425i
\(551\) 187.994i 0.341187i
\(552\) 2.00929 1.00165i 0.00364001 0.00181458i
\(553\) 408.344i 0.738416i
\(554\) 164.342 + 359.858i 0.296646 + 0.649563i
\(555\) −0.785396 + 2.32042i −0.00141513 + 0.00418093i
\(556\) 270.079 311.688i 0.485754 0.560590i
\(557\) −299.455 192.448i −0.537621 0.345508i 0.243487 0.969904i \(-0.421709\pi\)
−0.781108 + 0.624396i \(0.785345\pi\)
\(558\) −435.127 + 377.040i −0.779798 + 0.675699i
\(559\) −775.804 + 111.544i −1.38784 + 0.199542i
\(560\) −76.2019 95.5482i −0.136075 0.170622i
\(561\) 0.755391 0.485461i 0.00134651 0.000865349i
\(562\) −43.9209 + 305.476i −0.0781510 + 0.543552i
\(563\) −393.910 + 862.542i −0.699662 + 1.53205i 0.140719 + 0.990050i \(0.455059\pi\)
−0.840381 + 0.541997i \(0.817669\pi\)
\(564\) −1.68404 + 3.68753i −0.00298588 + 0.00653817i
\(565\) 182.481 194.018i 0.322976 0.343394i
\(566\) 168.981 + 262.939i 0.298552 + 0.464557i
\(567\) −474.727 139.393i −0.837262 0.245842i
\(568\) −210.312 + 30.2383i −0.370268 + 0.0532364i
\(569\) −100.516 + 87.0973i −0.176653 + 0.153071i −0.738700 0.674035i \(-0.764560\pi\)
0.562046 + 0.827106i \(0.310014\pi\)
\(570\) 2.10913 0.861130i 0.00370022 0.00151075i
\(571\) −648.995 562.357i −1.13659 0.984864i −0.136610 0.990625i \(-0.543621\pi\)
−0.999983 + 0.00576109i \(0.998166\pi\)
\(572\) −20.3134 + 5.96456i −0.0355130 + 0.0104276i
\(573\) 2.95557 + 6.47180i 0.00515807 + 0.0112946i
\(574\) 468.302i 0.815858i
\(575\) −188.000 + 543.398i −0.326957 + 0.945039i
\(576\) −71.9905 −0.124983
\(577\) −365.105 + 166.738i −0.632764 + 0.288974i −0.705860 0.708351i \(-0.749439\pi\)
0.0730959 + 0.997325i \(0.476712\pi\)
\(578\) 243.030 + 827.683i 0.420466 + 1.43198i
\(579\) −5.27202 + 6.08424i −0.00910539 + 0.0105082i
\(580\) −76.1199 186.437i −0.131241 0.321443i
\(581\) −119.037 137.377i −0.204884 0.236448i
\(582\) 0.932993 + 6.48911i 0.00160308 + 0.0111497i
\(583\) 0.802485 2.73301i 0.00137647 0.00468784i
\(584\) −208.095 + 133.735i −0.356327 + 0.228998i
\(585\) 399.804 + 376.032i 0.683426 + 0.642790i
\(586\) −23.2238 10.6060i −0.0396311 0.0180989i
\(587\) −175.362 80.0852i −0.298743 0.136431i 0.260404 0.965500i \(-0.416144\pi\)
−0.559147 + 0.829068i \(0.688871\pi\)
\(588\) 0.796587 + 0.114532i 0.00135474 + 0.000194782i
\(589\) 228.339 + 355.302i 0.387672 + 0.603229i
\(590\) −612.275 + 488.304i −1.03775 + 0.827633i
\(591\) 1.21210 + 8.43036i 0.00205093 + 0.0142646i
\(592\) −37.1871 42.9162i −0.0628160 0.0724936i
\(593\) 504.014 784.260i 0.849938 1.32253i −0.0950654 0.995471i \(-0.530306\pi\)
0.945004 0.327059i \(-0.106058\pi\)
\(594\) −0.576116 0.499207i −0.000969892 0.000840416i
\(595\) 867.720 + 293.699i 1.45835 + 0.493612i
\(596\) 245.895 112.297i 0.412576 0.188417i
\(597\) 8.10460 0.0135755
\(598\) 290.843 269.893i 0.486360 0.451326i
\(599\) 583.085 0.973431 0.486716 0.873560i \(-0.338195\pi\)
0.486716 + 0.873560i \(0.338195\pi\)
\(600\) −1.74299 + 1.70800i −0.00290498 + 0.00284666i
\(601\) −294.726 + 86.5394i −0.490393 + 0.143992i −0.517574 0.855638i \(-0.673165\pi\)
0.0271817 + 0.999631i \(0.491347\pi\)
\(602\) 419.637 + 363.618i 0.697071 + 0.604016i
\(603\) −305.844 196.554i −0.507203 0.325960i
\(604\) −47.4564 54.7676i −0.0785702 0.0906748i
\(605\) 271.845 536.268i 0.449330 0.886394i
\(606\) −1.80954 0.531328i −0.00298604 0.000876780i
\(607\) 587.064 + 913.489i 0.967157 + 1.50492i 0.859753 + 0.510709i \(0.170617\pi\)
0.107403 + 0.994216i \(0.465746\pi\)
\(608\) −7.51549 + 52.2714i −0.0123610 + 0.0859726i
\(609\) −3.86307 1.76421i −0.00634330 0.00289689i
\(610\) −574.867 + 337.156i −0.942404 + 0.552715i
\(611\) −101.960 + 709.145i −0.166873 + 1.16063i
\(612\) 453.956 291.740i 0.741759 0.476699i
\(613\) 570.361 + 167.473i 0.930441 + 0.273202i 0.711622 0.702563i \(-0.247961\pi\)
0.218820 + 0.975765i \(0.429779\pi\)
\(614\) 61.3689 + 426.830i 0.0999493 + 0.695163i
\(615\) 9.30234 0.952432i 0.0151258 0.00154867i
\(616\) 12.6174 + 8.10870i 0.0204828 + 0.0131635i
\(617\) −423.170 + 488.364i −0.685851 + 0.791514i −0.986768 0.162136i \(-0.948162\pi\)
0.300918 + 0.953650i \(0.402707\pi\)
\(618\) 0.312499 0.0917581i 0.000505662 0.000148476i
\(619\) 938.360 428.534i 1.51593 0.692301i 0.528292 0.849063i \(-0.322833\pi\)
0.987636 + 0.156762i \(0.0501055\pi\)
\(620\) −370.312 259.904i −0.597277 0.419200i
\(621\) 13.8372 + 3.55600i 0.0222822 + 0.00572624i
\(622\) 34.0456i 0.0547357i
\(623\) 97.5914 44.5685i 0.156648 0.0715385i
\(624\) 1.61574 0.474424i 0.00258932 0.000760294i
\(625\) 12.6717 624.872i 0.0202747 0.999794i
\(626\) 130.703 203.378i 0.208791 0.324885i
\(627\) −0.211292 + 0.183085i −0.000336989 + 0.000292002i
\(628\) −6.93205 48.2135i −0.0110383 0.0767730i
\(629\) 408.411 + 119.920i 0.649302 + 0.190652i
\(630\) 15.8478 388.507i 0.0251552 0.616678i
\(631\) −647.807 93.1406i −1.02664 0.147608i −0.391636 0.920120i \(-0.628091\pi\)
−0.635000 + 0.772512i \(0.719000\pi\)
\(632\) 78.5170 171.928i 0.124236 0.272038i
\(633\) −2.75562 1.25845i −0.00435327 0.00198807i
\(634\) −24.1127 + 167.708i −0.0380327 + 0.264523i
\(635\) −11.4184 + 279.921i −0.0179818 + 0.440821i
\(636\) −0.0638299 + 0.217385i −0.000100362 + 0.000341800i
\(637\) 140.780 20.2412i 0.221005 0.0317758i
\(638\) 16.1839 + 18.6772i 0.0253666 + 0.0292747i
\(639\) −568.688 365.474i −0.889966 0.571946i
\(640\) −13.7117 54.8816i −0.0214246 0.0857525i
\(641\) −26.0047 88.5640i −0.0405690 0.138165i 0.936718 0.350084i \(-0.113847\pi\)
−0.977287 + 0.211919i \(0.932029\pi\)
\(642\) −1.63343 3.57672i −0.00254429 0.00557121i
\(643\) −415.065 −0.645513 −0.322757 0.946482i \(-0.604610\pi\)
−0.322757 + 0.946482i \(0.604610\pi\)
\(644\) −279.431 30.5069i −0.433899 0.0473710i
\(645\) 6.36943 9.07518i 0.00987508 0.0140700i
\(646\) −164.438 360.068i −0.254547 0.557381i
\(647\) −95.8985 326.600i −0.148220 0.504792i 0.851591 0.524206i \(-0.175638\pi\)
−0.999812 + 0.0194146i \(0.993820\pi\)
\(648\) −173.075 149.971i −0.267092 0.231436i
\(649\) 51.9607 80.8525i 0.0800628 0.124580i
\(650\) −210.517 + 376.410i −0.323873 + 0.579093i
\(651\) −9.44388 + 1.35783i −0.0145067 + 0.00208575i
\(652\) −44.8531 + 152.756i −0.0687931 + 0.234288i
\(653\) 680.604 + 1059.04i 1.04227 + 1.62181i 0.745061 + 0.666996i \(0.232420\pi\)
0.297211 + 0.954812i \(0.403943\pi\)
\(654\) −9.43603 1.35670i −0.0144282 0.00207446i
\(655\) 737.842 432.740i 1.12648 0.660672i
\(656\) −90.0459 + 197.173i −0.137265 + 0.300568i
\(657\) −778.990 112.002i −1.18568 0.170475i
\(658\) 426.978 274.402i 0.648903 0.417025i
\(659\) −359.332 + 1223.77i −0.545268 + 1.85701i −0.0307598 + 0.999527i \(0.509793\pi\)
−0.514508 + 0.857485i \(0.672026\pi\)
\(660\) 0.135410 0.267123i 0.000205166 0.000404732i
\(661\) 288.576 250.052i 0.436574 0.378294i −0.408663 0.912686i \(-0.634005\pi\)
0.845237 + 0.534392i \(0.179459\pi\)
\(662\) −127.698 + 198.703i −0.192898 + 0.300155i
\(663\) −8.26590 + 9.53936i −0.0124674 + 0.0143882i
\(664\) −23.7043 80.7294i −0.0356992 0.121580i
\(665\) −280.436 52.0653i −0.421708 0.0782937i
\(666\) 180.669i 0.271275i
\(667\) −427.620 177.951i −0.641110 0.266793i
\(668\) 53.3973i 0.0799361i
\(669\) −5.92163 12.9666i −0.00885147 0.0193820i
\(670\) 91.5889 270.595i 0.136700 0.403873i
\(671\) 53.5592 61.8107i 0.0798200 0.0921172i
\(672\) −1.00359 0.644969i −0.00149344 0.000959776i
\(673\) −67.3740 + 58.3799i −0.100110 + 0.0867457i −0.703478 0.710717i \(-0.748371\pi\)
0.603368 + 0.797463i \(0.293825\pi\)
\(674\) 274.247 39.4308i 0.406895 0.0585027i
\(675\) −15.5001 + 0.950752i −0.0229631 + 0.00140852i
\(676\) −33.9837 + 21.8400i −0.0502718 + 0.0323077i
\(677\) 38.5826 268.348i 0.0569906 0.396378i −0.941282 0.337622i \(-0.890377\pi\)
0.998272 0.0587561i \(-0.0187134\pi\)
\(678\) 1.08005 2.36499i 0.00159300 0.00348818i
\(679\) 340.973 746.627i 0.502169 1.09960i
\(680\) 308.870 + 290.505i 0.454220 + 0.427213i
\(681\) 5.96784 + 9.28614i 0.00876335 + 0.0136360i
\(682\) 53.2725 + 15.6422i 0.0781122 + 0.0229358i
\(683\) 440.111 63.2785i 0.644380 0.0926478i 0.187625 0.982241i \(-0.439921\pi\)
0.456754 + 0.889593i \(0.349012\pi\)
\(684\) −126.977 + 110.026i −0.185639 + 0.160857i
\(685\) 43.1515 + 105.689i 0.0629949 + 0.154291i
\(686\) −396.170 343.283i −0.577508 0.500413i
\(687\) 1.72659 0.506974i 0.00251324 0.000737953i
\(688\) 106.766 + 233.785i 0.155183 + 0.339804i
\(689\) 40.0402i 0.0581135i
\(690\) −0.0376817 + 5.61265i −5.46112e−5 + 0.00813428i
\(691\) 787.585 1.13978 0.569888 0.821722i \(-0.306987\pi\)
0.569888 + 0.821722i \(0.306987\pi\)
\(692\) 203.585 92.9741i 0.294198 0.134356i
\(693\) 13.4437 + 45.7851i 0.0193993 + 0.0660680i
\(694\) 445.802 514.483i 0.642365 0.741329i
\(695\) 389.734 + 954.559i 0.560769 + 1.37347i
\(696\) −1.28727 1.48559i −0.00184953 0.00213447i
\(697\) −231.230 1608.24i −0.331750 2.30737i
\(698\) −100.996 + 343.961i −0.144694 + 0.492781i
\(699\) 12.0701 7.75698i 0.0172677 0.0110972i
\(700\) 299.195 61.9160i 0.427421 0.0884514i
\(701\) −957.196 437.137i −1.36547 0.623590i −0.408230 0.912879i \(-0.633854\pi\)
−0.957242 + 0.289289i \(0.906581\pi\)
\(702\) 9.74751 + 4.45154i 0.0138853 + 0.00634122i
\(703\) −131.181 18.8610i −0.186602 0.0268293i
\(704\) 3.75324 + 5.84016i 0.00533131 + 0.00829568i
\(705\) −6.31911 7.92341i −0.00896327 0.0112389i
\(706\) 63.0112 + 438.252i 0.0892510 + 0.620754i
\(707\) 154.627 + 178.449i 0.218708 + 0.252403i
\(708\) −4.13298 + 6.43104i −0.00583754 + 0.00908338i
\(709\) 329.221 + 285.272i 0.464346 + 0.402358i 0.855366 0.518024i \(-0.173332\pi\)
−0.391020 + 0.920382i \(0.627878\pi\)
\(710\) 170.301 503.147i 0.239861 0.708658i
\(711\) 547.000 249.807i 0.769339 0.351345i
\(712\) 49.6593 0.0697463
\(713\) −1024.33 + 183.070i −1.43664 + 0.256760i
\(714\) 8.94216 0.0125240
\(715\) 9.66136 52.0383i 0.0135124 0.0727808i
\(716\) −197.727 + 58.0580i −0.276155 + 0.0810866i
\(717\) −7.25138 6.28335i −0.0101135 0.00876339i
\(718\) 458.536 + 294.683i 0.638629 + 0.410422i
\(719\) 34.0127 + 39.2528i 0.0473056 + 0.0545936i 0.778909 0.627137i \(-0.215773\pi\)
−0.731604 + 0.681730i \(0.761228\pi\)
\(720\) 81.3752 160.529i 0.113021 0.222957i
\(721\) −39.1254 11.4883i −0.0542654 0.0159338i
\(722\) −209.381 325.804i −0.290002 0.451251i
\(723\) 0.888734 6.18128i 0.00122923 0.00854949i
\(724\) 356.650 + 162.877i 0.492611 + 0.224968i
\(725\) 501.772 + 41.0043i 0.692099 + 0.0565577i
\(726\) 0.835227 5.80913i 0.00115045 0.00800156i
\(727\) 883.641 567.882i 1.21546 0.781130i 0.233898 0.972261i \(-0.424852\pi\)
0.981565 + 0.191131i \(0.0612154\pi\)
\(728\) −202.293 59.3986i −0.277875 0.0815914i
\(729\) −103.665 721.007i −0.142202 0.989036i
\(730\) −62.9872 615.192i −0.0862838 0.842728i
\(731\) −1620.65 1041.53i −2.21704 1.42480i
\(732\) −4.26012 + 4.91644i −0.00581984 + 0.00671645i
\(733\) 106.223 31.1900i 0.144916 0.0425512i −0.208470 0.978029i \(-0.566848\pi\)
0.353386 + 0.935478i \(0.385030\pi\)
\(734\) 841.542 384.319i 1.14652 0.523596i
\(735\) −1.15582 + 1.64682i −0.00157255 + 0.00224057i
\(736\) −111.785 66.5740i −0.151882 0.0904538i
\(737\) 35.0586i 0.0475694i
\(738\) −627.317 + 286.486i −0.850024 + 0.388193i
\(739\) −488.070 + 143.310i −0.660446 + 0.193924i −0.594744 0.803915i \(-0.702747\pi\)
−0.0657016 + 0.997839i \(0.520929\pi\)
\(740\) 137.732 34.4113i 0.186124 0.0465018i
\(741\) 2.12476 3.30619i 0.00286742 0.00446180i
\(742\) 21.4375 18.5757i 0.0288916 0.0250347i
\(743\) 174.755 + 1215.45i 0.235202 + 1.63586i 0.675036 + 0.737785i \(0.264128\pi\)
−0.439834 + 0.898079i \(0.644963\pi\)
\(744\) −4.23731 1.24419i −0.00569531 0.00167229i
\(745\) −27.5444 + 675.249i −0.0369724 + 0.906374i
\(746\) −201.866 29.0240i −0.270598 0.0389062i
\(747\) 111.202 243.498i 0.148865 0.325968i
\(748\) −47.3343 21.6168i −0.0632811 0.0288995i
\(749\) −70.0614 + 487.288i −0.0935399 + 0.650584i
\(750\) −1.83840 5.81727i −0.00245120 0.00775636i
\(751\) 169.329 576.681i 0.225471 0.767884i −0.766591 0.642136i \(-0.778049\pi\)
0.992062 0.125749i \(-0.0401333\pi\)
\(752\) 232.536 33.4337i 0.309224 0.0444597i
\(753\) 1.55580 + 1.79549i 0.00206614 + 0.00238445i
\(754\) −292.252 187.819i −0.387602 0.249097i
\(755\) 175.767 43.9141i 0.232804 0.0581643i
\(756\) −2.13878 7.28401i −0.00282907 0.00963494i
\(757\) 503.636 + 1102.81i 0.665306 + 1.45682i 0.877494 + 0.479587i \(0.159214\pi\)
−0.212188 + 0.977229i \(0.568059\pi\)
\(758\) −716.749 −0.945579
\(759\) −0.216451 0.653920i −0.000285180 0.000861554i
\(760\) −108.063 75.8440i −0.142188 0.0997947i
\(761\) −272.945 597.667i −0.358667 0.785371i −0.999838 0.0179732i \(-0.994279\pi\)
0.641172 0.767397i \(-0.278449\pi\)
\(762\) 0.770450 + 2.62391i 0.00101109 + 0.00344345i
\(763\) 902.028 + 781.611i 1.18221 + 1.02439i
\(764\) 222.912 346.857i 0.291769 0.454002i
\(765\) 137.406 + 1342.03i 0.179615 + 1.75429i
\(766\) −226.982 + 32.6351i −0.296322 + 0.0426046i
\(767\) −380.627 + 1296.30i −0.496254 + 1.69009i
\(768\) −0.298534 0.464528i −0.000388716 0.000604855i
\(769\) −1441.92 207.317i −1.87506 0.269593i −0.891888 0.452256i \(-0.850619\pi\)
−0.983176 + 0.182663i \(0.941528\pi\)
\(770\) −32.3435 + 18.9693i −0.0420045 + 0.0246354i
\(771\) 6.04710 13.2413i 0.00784320 0.0171742i
\(772\) 461.796 + 66.3962i 0.598181 + 0.0860054i