Properties

Label 192.2.r.a.133.7
Level $192$
Weight $2$
Character 192.133
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 133.7
Character \(\chi\) \(=\) 192.133
Dual form 192.2.r.a.13.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.643008 + 1.25958i) q^{2} +(0.831470 + 0.555570i) q^{3} +(-1.17308 - 1.61984i) q^{4} +(1.10082 + 0.218966i) q^{5} +(-1.23443 + 0.690066i) q^{6} +(-0.899420 + 2.17139i) q^{7} +(2.79462 - 0.436020i) q^{8} +(0.382683 + 0.923880i) q^{9} +O(q^{10})\) \(q+(-0.643008 + 1.25958i) q^{2} +(0.831470 + 0.555570i) q^{3} +(-1.17308 - 1.61984i) q^{4} +(1.10082 + 0.218966i) q^{5} +(-1.23443 + 0.690066i) q^{6} +(-0.899420 + 2.17139i) q^{7} +(2.79462 - 0.436020i) q^{8} +(0.382683 + 0.923880i) q^{9} +(-0.983641 + 1.24577i) q^{10} +(2.85504 + 4.27287i) q^{11} +(-0.0754472 - 1.99858i) q^{12} +(-2.75860 + 0.548720i) q^{13} +(-2.15671 - 2.52911i) q^{14} +(0.793646 + 0.793646i) q^{15} +(-1.24776 + 3.80041i) q^{16} +(2.30407 - 2.30407i) q^{17} +(-1.40977 - 0.112042i) q^{18} +(-0.562614 - 2.82845i) q^{19} +(-0.936659 - 2.04001i) q^{20} +(-1.95420 + 1.30576i) q^{21} +(-7.21784 + 0.848662i) q^{22} +(0.814910 - 0.337547i) q^{23} +(2.56588 + 1.19007i) q^{24} +(-3.45554 - 1.43133i) q^{25} +(1.08265 - 3.82751i) q^{26} +(-0.195090 + 0.980785i) q^{27} +(4.57240 - 1.09030i) q^{28} +(1.52765 - 2.28630i) q^{29} +(-1.50998 + 0.489340i) q^{30} +3.24135i q^{31} +(-3.98460 - 4.01534i) q^{32} +5.13894i q^{33} +(1.42063 + 4.38370i) q^{34} +(-1.46556 + 2.19337i) q^{35} +(1.04762 - 1.70367i) q^{36} +(1.56493 - 7.86745i) q^{37} +(3.92443 + 1.11006i) q^{38} +(-2.59855 - 1.07635i) q^{39} +(3.17184 + 0.131948i) q^{40} +(4.45205 - 1.84410i) q^{41} +(-0.388136 - 3.30108i) q^{42} +(9.42323 - 6.29640i) q^{43} +(3.57217 - 9.63714i) q^{44} +(0.218966 + 1.10082i) q^{45} +(-0.0988266 + 1.24349i) q^{46} +(-3.29361 + 3.29361i) q^{47} +(-3.14887 + 2.46671i) q^{48} +(1.04376 + 1.04376i) q^{49} +(4.02482 - 3.43217i) q^{50} +(3.19584 - 0.635693i) q^{51} +(4.12490 + 3.82480i) q^{52} +(-7.30356 - 10.9305i) q^{53} +(-1.10993 - 0.876384i) q^{54} +(2.20727 + 5.32882i) q^{55} +(-1.56676 + 6.46038i) q^{56} +(1.10361 - 2.66434i) q^{57} +(1.89748 + 3.39431i) q^{58} +(11.9601 + 2.37900i) q^{59} +(0.354567 - 2.21659i) q^{60} +(-2.93711 - 1.96252i) q^{61} +(-4.08274 - 2.08421i) q^{62} -2.35030 q^{63} +(7.61977 - 2.43702i) q^{64} -3.15687 q^{65} +(-6.47291 - 3.30438i) q^{66} +(-8.01120 - 5.35291i) q^{67} +(-6.43510 - 1.02936i) q^{68} +(0.865104 + 0.172080i) q^{69} +(-1.82035 - 3.25634i) q^{70} +(-5.44734 + 13.1510i) q^{71} +(1.47228 + 2.41503i) q^{72} +(-3.71675 - 8.97304i) q^{73} +(8.90342 + 7.02999i) q^{74} +(-2.07797 - 3.10991i) q^{75} +(-3.92165 + 4.22935i) q^{76} +(-11.8460 + 2.35631i) q^{77} +(3.02664 - 2.58097i) q^{78} +(-4.99132 - 4.99132i) q^{79} +(-2.20572 + 3.91034i) q^{80} +(-0.707107 + 0.707107i) q^{81} +(-0.539913 + 6.79348i) q^{82} +(-0.535891 - 2.69411i) q^{83} +(4.40755 + 1.63373i) q^{84} +(3.04088 - 2.03185i) q^{85} +(1.87161 + 15.9179i) q^{86} +(2.54040 - 1.05227i) q^{87} +(9.84181 + 10.6962i) q^{88} +(7.33117 + 3.03667i) q^{89} +(-1.52737 - 0.432029i) q^{90} +(1.28966 - 6.48354i) q^{91} +(-1.50273 - 0.924054i) q^{92} +(-1.80080 + 2.69509i) q^{93} +(-2.03074 - 6.26638i) q^{94} -3.23681i q^{95} +(-1.08227 - 5.55236i) q^{96} +17.2593i q^{97} +(-1.98584 + 0.643553i) q^{98} +(-2.85504 + 4.27287i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{1}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.643008 + 1.25958i −0.454675 + 0.890657i
\(3\) 0.831470 + 0.555570i 0.480049 + 0.320759i
\(4\) −1.17308 1.61984i −0.586541 0.809920i
\(5\) 1.10082 + 0.218966i 0.492301 + 0.0979247i 0.434997 0.900432i \(-0.356750\pi\)
0.0573042 + 0.998357i \(0.481750\pi\)
\(6\) −1.23443 + 0.690066i −0.503953 + 0.281718i
\(7\) −0.899420 + 2.17139i −0.339949 + 0.820709i 0.657771 + 0.753218i \(0.271499\pi\)
−0.997720 + 0.0674912i \(0.978501\pi\)
\(8\) 2.79462 0.436020i 0.988046 0.154156i
\(9\) 0.382683 + 0.923880i 0.127561 + 0.307960i
\(10\) −0.983641 + 1.24577i −0.311054 + 0.393947i
\(11\) 2.85504 + 4.27287i 0.860828 + 1.28832i 0.956151 + 0.292874i \(0.0946115\pi\)
−0.0953232 + 0.995446i \(0.530388\pi\)
\(12\) −0.0754472 1.99858i −0.0217797 0.576939i
\(13\) −2.75860 + 0.548720i −0.765098 + 0.152188i −0.562188 0.827010i \(-0.690040\pi\)
−0.202911 + 0.979197i \(0.565040\pi\)
\(14\) −2.15671 2.52911i −0.576404 0.675934i
\(15\) 0.793646 + 0.793646i 0.204918 + 0.204918i
\(16\) −1.24776 + 3.80041i −0.311940 + 0.950102i
\(17\) 2.30407 2.30407i 0.558820 0.558820i −0.370151 0.928971i \(-0.620694\pi\)
0.928971 + 0.370151i \(0.120694\pi\)
\(18\) −1.40977 0.112042i −0.332286 0.0264085i
\(19\) −0.562614 2.82845i −0.129073 0.648891i −0.990104 0.140339i \(-0.955181\pi\)
0.861031 0.508553i \(-0.169819\pi\)
\(20\) −0.936659 2.04001i −0.209443 0.456161i
\(21\) −1.95420 + 1.30576i −0.426442 + 0.284939i
\(22\) −7.21784 + 0.848662i −1.53885 + 0.180935i
\(23\) 0.814910 0.337547i 0.169921 0.0703834i −0.296102 0.955156i \(-0.595687\pi\)
0.466022 + 0.884773i \(0.345687\pi\)
\(24\) 2.56588 + 1.19007i 0.523758 + 0.242922i
\(25\) −3.45554 1.43133i −0.691109 0.286267i
\(26\) 1.08265 3.82751i 0.212324 0.750636i
\(27\) −0.195090 + 0.980785i −0.0375451 + 0.188752i
\(28\) 4.57240 1.09030i 0.864102 0.206048i
\(29\) 1.52765 2.28630i 0.283678 0.424555i −0.662076 0.749436i \(-0.730325\pi\)
0.945755 + 0.324882i \(0.105325\pi\)
\(30\) −1.50998 + 0.489340i −0.275683 + 0.0893408i
\(31\) 3.24135i 0.582164i 0.956698 + 0.291082i \(0.0940152\pi\)
−0.956698 + 0.291082i \(0.905985\pi\)
\(32\) −3.98460 4.01534i −0.704384 0.709819i
\(33\) 5.13894i 0.894575i
\(34\) 1.42063 + 4.38370i 0.243636 + 0.751799i
\(35\) −1.46556 + 2.19337i −0.247725 + 0.370746i
\(36\) 1.04762 1.70367i 0.174603 0.283945i
\(37\) 1.56493 7.86745i 0.257273 1.29340i −0.608736 0.793373i \(-0.708323\pi\)
0.866009 0.500028i \(-0.166677\pi\)
\(38\) 3.92443 + 1.11006i 0.636626 + 0.180075i
\(39\) −2.59855 1.07635i −0.416100 0.172354i
\(40\) 3.17184 + 0.131948i 0.501512 + 0.0208628i
\(41\) 4.45205 1.84410i 0.695293 0.288000i −0.00691036 0.999976i \(-0.502200\pi\)
0.702204 + 0.711976i \(0.252200\pi\)
\(42\) −0.388136 3.30108i −0.0598907 0.509368i
\(43\) 9.42323 6.29640i 1.43703 0.960192i 0.438932 0.898520i \(-0.355357\pi\)
0.998097 0.0616715i \(-0.0196431\pi\)
\(44\) 3.57217 9.63714i 0.538525 1.45285i
\(45\) 0.218966 + 1.10082i 0.0326416 + 0.164100i
\(46\) −0.0988266 + 1.24349i −0.0145712 + 0.183343i
\(47\) −3.29361 + 3.29361i −0.480422 + 0.480422i −0.905266 0.424844i \(-0.860329\pi\)
0.424844 + 0.905266i \(0.360329\pi\)
\(48\) −3.14887 + 2.46671i −0.454500 + 0.356038i
\(49\) 1.04376 + 1.04376i 0.149108 + 0.149108i
\(50\) 4.02482 3.43217i 0.569195 0.485383i
\(51\) 3.19584 0.635693i 0.447508 0.0890148i
\(52\) 4.12490 + 3.82480i 0.572021 + 0.530404i
\(53\) −7.30356 10.9305i −1.00322 1.50143i −0.859062 0.511872i \(-0.828952\pi\)
−0.144159 0.989554i \(-0.546048\pi\)
\(54\) −1.10993 0.876384i −0.151043 0.119261i
\(55\) 2.20727 + 5.32882i 0.297628 + 0.718538i
\(56\) −1.56676 + 6.46038i −0.209368 + 0.863304i
\(57\) 1.10361 2.66434i 0.146176 0.352901i
\(58\) 1.89748 + 3.39431i 0.249151 + 0.445695i
\(59\) 11.9601 + 2.37900i 1.55707 + 0.309720i 0.897187 0.441652i \(-0.145607\pi\)
0.659880 + 0.751371i \(0.270607\pi\)
\(60\) 0.354567 2.21659i 0.0457744 0.286161i
\(61\) −2.93711 1.96252i −0.376059 0.251274i 0.353149 0.935567i \(-0.385111\pi\)
−0.729207 + 0.684293i \(0.760111\pi\)
\(62\) −4.08274 2.08421i −0.518509 0.264696i
\(63\) −2.35030 −0.296110
\(64\) 7.61977 2.43702i 0.952472 0.304627i
\(65\) −3.15687 −0.391562
\(66\) −6.47291 3.30438i −0.796760 0.406741i
\(67\) −8.01120 5.35291i −0.978724 0.653962i −0.0402053 0.999191i \(-0.512801\pi\)
−0.938518 + 0.345229i \(0.887801\pi\)
\(68\) −6.43510 1.02936i −0.780370 0.124829i
\(69\) 0.865104 + 0.172080i 0.104146 + 0.0207160i
\(70\) −1.82035 3.25634i −0.217574 0.389207i
\(71\) −5.44734 + 13.1510i −0.646481 + 1.56074i 0.171304 + 0.985218i \(0.445202\pi\)
−0.817785 + 0.575524i \(0.804798\pi\)
\(72\) 1.47228 + 2.41503i 0.173510 + 0.284614i
\(73\) −3.71675 8.97304i −0.435013 1.05021i −0.977649 0.210246i \(-0.932573\pi\)
0.542635 0.839968i \(-0.317427\pi\)
\(74\) 8.90342 + 7.02999i 1.03500 + 0.817220i
\(75\) −2.07797 3.10991i −0.239944 0.359101i
\(76\) −3.92165 + 4.22935i −0.449844 + 0.485140i
\(77\) −11.8460 + 2.35631i −1.34997 + 0.268526i
\(78\) 3.02664 2.58097i 0.342699 0.292238i
\(79\) −4.99132 4.99132i −0.561567 0.561567i 0.368185 0.929752i \(-0.379979\pi\)
−0.929752 + 0.368185i \(0.879979\pi\)
\(80\) −2.20572 + 3.91034i −0.246607 + 0.437189i
\(81\) −0.707107 + 0.707107i −0.0785674 + 0.0785674i
\(82\) −0.539913 + 6.79348i −0.0596234 + 0.750214i
\(83\) −0.535891 2.69411i −0.0588217 0.295717i 0.940165 0.340719i \(-0.110670\pi\)
−0.998987 + 0.0450023i \(0.985670\pi\)
\(84\) 4.40755 + 1.63373i 0.480903 + 0.178255i
\(85\) 3.04088 2.03185i 0.329830 0.220385i
\(86\) 1.87161 + 15.9179i 0.201820 + 1.71648i
\(87\) 2.54040 1.05227i 0.272359 0.112815i
\(88\) 9.84181 + 10.6962i 1.04914 + 1.14022i
\(89\) 7.33117 + 3.03667i 0.777103 + 0.321886i 0.735746 0.677258i \(-0.236832\pi\)
0.0413570 + 0.999144i \(0.486832\pi\)
\(90\) −1.52737 0.432029i −0.160998 0.0455399i
\(91\) 1.28966 6.48354i 0.135193 0.679659i
\(92\) −1.50273 0.924054i −0.156670 0.0963393i
\(93\) −1.80080 + 2.69509i −0.186734 + 0.279467i
\(94\) −2.03074 6.26638i −0.209455 0.646327i
\(95\) 3.23681i 0.332089i
\(96\) −1.08227 5.55236i −0.110458 0.566685i
\(97\) 17.2593i 1.75242i 0.481929 + 0.876210i \(0.339936\pi\)
−0.481929 + 0.876210i \(0.660064\pi\)
\(98\) −1.98584 + 0.643553i −0.200600 + 0.0650086i
\(99\) −2.85504 + 4.27287i −0.286943 + 0.429440i
\(100\) 1.73510 + 7.27649i 0.173510 + 0.727649i
\(101\) 0.500457 2.51597i 0.0497973 0.250348i −0.947866 0.318669i \(-0.896764\pi\)
0.997663 + 0.0683209i \(0.0217642\pi\)
\(102\) −1.25425 + 4.43417i −0.124189 + 0.439049i
\(103\) −11.3461 4.69970i −1.11796 0.463075i −0.254289 0.967128i \(-0.581841\pi\)
−0.863672 + 0.504053i \(0.831841\pi\)
\(104\) −7.46998 + 2.73627i −0.732492 + 0.268313i
\(105\) −2.43714 + 1.00950i −0.237840 + 0.0985167i
\(106\) 18.4641 2.17099i 1.79340 0.210865i
\(107\) −10.8795 + 7.26942i −1.05176 + 0.702761i −0.956215 0.292664i \(-0.905458\pi\)
−0.0955411 + 0.995425i \(0.530458\pi\)
\(108\) 1.81757 0.834526i 0.174896 0.0803023i
\(109\) 1.37249 + 6.89995i 0.131460 + 0.660896i 0.989172 + 0.146764i \(0.0468858\pi\)
−0.857711 + 0.514132i \(0.828114\pi\)
\(110\) −8.13136 0.646241i −0.775295 0.0616167i
\(111\) 5.67212 5.67212i 0.538373 0.538373i
\(112\) −7.12992 6.12754i −0.673714 0.578998i
\(113\) 5.40400 + 5.40400i 0.508366 + 0.508366i 0.914025 0.405659i \(-0.132958\pi\)
−0.405659 + 0.914025i \(0.632958\pi\)
\(114\) 2.64632 + 3.10328i 0.247851 + 0.290648i
\(115\) 0.970980 0.193140i 0.0905443 0.0180104i
\(116\) −5.49550 + 0.207458i −0.510244 + 0.0192620i
\(117\) −1.56262 2.33863i −0.144464 0.216206i
\(118\) −10.6870 + 13.5349i −0.983814 + 1.24599i
\(119\) 2.93072 + 7.07538i 0.268659 + 0.648599i
\(120\) 2.56398 + 1.87189i 0.234058 + 0.170879i
\(121\) −5.89666 + 14.2358i −0.536060 + 1.29416i
\(122\) 4.36053 2.43761i 0.394784 0.220691i
\(123\) 4.72627 + 0.940113i 0.426153 + 0.0847672i
\(124\) 5.25047 3.80237i 0.471506 0.341463i
\(125\) −8.15666 5.45010i −0.729553 0.487472i
\(126\) 1.51126 2.96039i 0.134634 0.263732i
\(127\) 10.6369 0.943874 0.471937 0.881632i \(-0.343555\pi\)
0.471937 + 0.881632i \(0.343555\pi\)
\(128\) −1.82995 + 11.1647i −0.161747 + 0.986832i
\(129\) 11.3332 0.997834
\(130\) 2.02989 3.97633i 0.178033 0.348747i
\(131\) −8.36414 5.58874i −0.730778 0.488290i 0.133662 0.991027i \(-0.457326\pi\)
−0.864440 + 0.502737i \(0.832326\pi\)
\(132\) 8.32426 6.02840i 0.724534 0.524705i
\(133\) 6.64771 + 1.32231i 0.576429 + 0.114659i
\(134\) 11.8937 6.64878i 1.02746 0.574367i
\(135\) −0.429518 + 1.03695i −0.0369670 + 0.0892463i
\(136\) 5.43438 7.44363i 0.465994 0.638286i
\(137\) −1.30777 3.15723i −0.111730 0.269741i 0.858117 0.513454i \(-0.171634\pi\)
−0.969847 + 0.243714i \(0.921634\pi\)
\(138\) −0.773017 + 0.979019i −0.0658036 + 0.0833396i
\(139\) −9.85523 14.7494i −0.835910 1.25103i −0.965745 0.259492i \(-0.916445\pi\)
0.129835 0.991536i \(-0.458555\pi\)
\(140\) 5.27212 0.199025i 0.445576 0.0168207i
\(141\) −4.56836 + 0.908704i −0.384726 + 0.0765267i
\(142\) −13.0621 15.3176i −1.09615 1.28542i
\(143\) −10.2205 10.2205i −0.854684 0.854684i
\(144\) −3.98862 + 0.301574i −0.332385 + 0.0251312i
\(145\) 2.18229 2.18229i 0.181230 0.181230i
\(146\) 13.6922 + 1.08819i 1.13317 + 0.0900589i
\(147\) 0.287973 + 1.44774i 0.0237516 + 0.119407i
\(148\) −14.5798 + 6.69422i −1.19845 + 0.550262i
\(149\) 11.9841 8.00750i 0.981773 0.656000i 0.0424734 0.999098i \(-0.486476\pi\)
0.939300 + 0.343098i \(0.111476\pi\)
\(150\) 5.25333 0.617678i 0.428932 0.0504332i
\(151\) 4.12805 1.70989i 0.335936 0.139149i −0.208338 0.978057i \(-0.566805\pi\)
0.544274 + 0.838908i \(0.316805\pi\)
\(152\) −2.80555 7.65913i −0.227560 0.621238i
\(153\) 3.01042 + 1.24696i 0.243378 + 0.100810i
\(154\) 4.64909 16.4361i 0.374635 1.32446i
\(155\) −0.709747 + 3.56814i −0.0570082 + 0.286600i
\(156\) 1.30479 + 5.47188i 0.104467 + 0.438101i
\(157\) 8.53816 12.7783i 0.681420 1.01982i −0.316051 0.948742i \(-0.602357\pi\)
0.997471 0.0710744i \(-0.0226428\pi\)
\(158\) 9.49642 3.07751i 0.755495 0.244833i
\(159\) 13.1461i 1.04255i
\(160\) −3.50709 5.29266i −0.277260 0.418421i
\(161\) 2.07309i 0.163382i
\(162\) −0.435982 1.34533i −0.0342540 0.105699i
\(163\) 0.621330 0.929886i 0.0486663 0.0728343i −0.806339 0.591454i \(-0.798554\pi\)
0.855005 + 0.518620i \(0.173554\pi\)
\(164\) −8.20976 5.04832i −0.641075 0.394208i
\(165\) −1.12526 + 5.65704i −0.0876010 + 0.440400i
\(166\) 3.73803 + 1.05733i 0.290127 + 0.0820651i
\(167\) 5.86233 + 2.42826i 0.453640 + 0.187904i 0.597791 0.801652i \(-0.296045\pi\)
−0.144151 + 0.989556i \(0.546045\pi\)
\(168\) −4.89191 + 4.50116i −0.377419 + 0.347272i
\(169\) −4.70164 + 1.94748i −0.361665 + 0.149807i
\(170\) 0.603969 + 5.13673i 0.0463223 + 0.393969i
\(171\) 2.39785 1.60219i 0.183368 0.122522i
\(172\) −21.2534 7.87792i −1.62055 0.600686i
\(173\) 4.10805 + 20.6526i 0.312329 + 1.57019i 0.744015 + 0.668162i \(0.232919\pi\)
−0.431686 + 0.902024i \(0.642081\pi\)
\(174\) −0.308081 + 3.87645i −0.0233556 + 0.293873i
\(175\) 6.21597 6.21597i 0.469883 0.469883i
\(176\) −19.8011 + 5.51881i −1.49256 + 0.415996i
\(177\) 8.62272 + 8.62272i 0.648123 + 0.648123i
\(178\) −8.53893 + 7.28159i −0.640020 + 0.545778i
\(179\) 5.09852 1.01416i 0.381081 0.0758018i −0.000832665 1.00000i \(-0.500265\pi\)
0.381914 + 0.924198i \(0.375265\pi\)
\(180\) 1.52628 1.64604i 0.113762 0.122689i
\(181\) 13.5006 + 20.2051i 1.00349 + 1.50183i 0.858770 + 0.512361i \(0.171229\pi\)
0.144723 + 0.989472i \(0.453771\pi\)
\(182\) 7.33727 + 5.79339i 0.543875 + 0.429435i
\(183\) −1.35180 3.26355i −0.0999283 0.241248i
\(184\) 2.13019 1.29863i 0.157039 0.0957364i
\(185\) 3.44542 8.31797i 0.253312 0.611549i
\(186\) −2.23675 4.00121i −0.164006 0.293383i
\(187\) 16.4233 + 3.26679i 1.20099 + 0.238891i
\(188\) 9.19878 + 1.47144i 0.670890 + 0.107316i
\(189\) −1.95420 1.30576i −0.142147 0.0949798i
\(190\) 4.07701 + 2.08129i 0.295778 + 0.150993i
\(191\) −16.2783 −1.17785 −0.588927 0.808186i \(-0.700449\pi\)
−0.588927 + 0.808186i \(0.700449\pi\)
\(192\) 7.68954 + 2.20701i 0.554945 + 0.159277i
\(193\) −10.3258 −0.743267 −0.371634 0.928380i \(-0.621202\pi\)
−0.371634 + 0.928380i \(0.621202\pi\)
\(194\) −21.7395 11.0979i −1.56081 0.796782i
\(195\) −2.62484 1.75386i −0.187969 0.125597i
\(196\) 0.466307 2.91514i 0.0333077 0.208224i
\(197\) 16.8611 + 3.35388i 1.20130 + 0.238954i 0.754877 0.655866i \(-0.227696\pi\)
0.446427 + 0.894820i \(0.352696\pi\)
\(198\) −3.54621 6.34365i −0.252018 0.450823i
\(199\) −7.04678 + 17.0124i −0.499533 + 1.20598i 0.450203 + 0.892926i \(0.351352\pi\)
−0.949736 + 0.313053i \(0.898648\pi\)
\(200\) −10.2810 2.49334i −0.726977 0.176306i
\(201\) −3.68715 8.90157i −0.260072 0.627868i
\(202\) 2.84726 + 2.24815i 0.200333 + 0.158179i
\(203\) 3.59044 + 5.37348i 0.252000 + 0.377144i
\(204\) −4.77870 4.43103i −0.334576 0.310234i
\(205\) 5.30469 1.05517i 0.370496 0.0736962i
\(206\) 13.2153 11.2693i 0.920750 0.785172i
\(207\) 0.623705 + 0.623705i 0.0433505 + 0.0433505i
\(208\) 1.35671 11.1685i 0.0940709 0.774395i
\(209\) 10.4793 10.4793i 0.724871 0.724871i
\(210\) 0.295559 3.71888i 0.0203955 0.256627i
\(211\) −1.79805 9.03940i −0.123783 0.622298i −0.992013 0.126136i \(-0.959742\pi\)
0.868230 0.496162i \(-0.165258\pi\)
\(212\) −9.13806 + 24.6530i −0.627605 + 1.69318i
\(213\) −11.8356 + 7.90832i −0.810964 + 0.541869i
\(214\) −2.16084 18.3778i −0.147712 1.25628i
\(215\) 11.7520 4.86782i 0.801477 0.331983i
\(216\) −0.117561 + 2.82598i −0.00799898 + 0.192284i
\(217\) −7.03825 2.91534i −0.477787 0.197906i
\(218\) −9.57356 2.70797i −0.648403 0.183407i
\(219\) 1.89478 9.52572i 0.128038 0.643689i
\(220\) 6.04252 9.82656i 0.407387 0.662506i
\(221\) −5.09173 + 7.62031i −0.342507 + 0.512598i
\(222\) 3.49727 + 10.7917i 0.234721 + 0.724291i
\(223\) 21.8970i 1.46633i 0.680050 + 0.733166i \(0.261958\pi\)
−0.680050 + 0.733166i \(0.738042\pi\)
\(224\) 12.3027 5.04064i 0.822010 0.336792i
\(225\) 3.74025i 0.249350i
\(226\) −10.2816 + 3.33195i −0.683921 + 0.221638i
\(227\) −9.75700 + 14.6024i −0.647595 + 0.969194i 0.351856 + 0.936054i \(0.385551\pi\)
−0.999451 + 0.0331402i \(0.989449\pi\)
\(228\) −5.61043 + 1.33783i −0.371560 + 0.0885997i
\(229\) −1.26054 + 6.33717i −0.0832990 + 0.418772i 0.916524 + 0.399979i \(0.130983\pi\)
−0.999823 + 0.0187935i \(0.994017\pi\)
\(230\) −0.381073 + 1.34722i −0.0251272 + 0.0888329i
\(231\) −11.1587 4.62207i −0.734186 0.304110i
\(232\) 3.27234 7.05541i 0.214840 0.463211i
\(233\) −9.09184 + 3.76596i −0.595626 + 0.246717i −0.660069 0.751205i \(-0.729473\pi\)
0.0644427 + 0.997921i \(0.479473\pi\)
\(234\) 3.95047 0.464490i 0.258250 0.0303647i
\(235\) −4.34685 + 2.90447i −0.283557 + 0.189467i
\(236\) −10.1765 22.1641i −0.662435 1.44276i
\(237\) −1.37710 6.92316i −0.0894524 0.449707i
\(238\) −10.7965 0.858052i −0.699832 0.0556193i
\(239\) 18.5979 18.5979i 1.20300 1.20300i 0.229746 0.973251i \(-0.426211\pi\)
0.973251 0.229746i \(-0.0737895\pi\)
\(240\) −4.00646 + 2.02590i −0.258616 + 0.130771i
\(241\) 4.77013 + 4.77013i 0.307271 + 0.307271i 0.843850 0.536579i \(-0.180284\pi\)
−0.536579 + 0.843850i \(0.680284\pi\)
\(242\) −14.1395 16.5811i −0.908923 1.06587i
\(243\) −0.980785 + 0.195090i −0.0629174 + 0.0125150i
\(244\) 0.266513 + 7.05984i 0.0170617 + 0.451960i
\(245\) 0.920441 + 1.37754i 0.0588048 + 0.0880077i
\(246\) −4.22318 + 5.34861i −0.269260 + 0.341015i
\(247\) 3.10406 + 7.49386i 0.197506 + 0.476823i
\(248\) 1.41329 + 9.05834i 0.0897443 + 0.575205i
\(249\) 1.05119 2.53779i 0.0666164 0.160826i
\(250\) 12.1096 6.76950i 0.765880 0.428141i
\(251\) 9.01248 + 1.79269i 0.568863 + 0.113154i 0.471138 0.882060i \(-0.343843\pi\)
0.0977249 + 0.995213i \(0.468843\pi\)
\(252\) 2.75709 + 3.80711i 0.173680 + 0.239825i
\(253\) 3.76890 + 2.51830i 0.236949 + 0.158324i
\(254\) −6.83962 + 13.3980i −0.429156 + 0.840668i
\(255\) 3.65724 0.229025
\(256\) −12.8862 9.48398i −0.805387 0.592749i
\(257\) −13.9513 −0.870260 −0.435130 0.900368i \(-0.643298\pi\)
−0.435130 + 0.900368i \(0.643298\pi\)
\(258\) −7.28735 + 14.2751i −0.453691 + 0.888728i
\(259\) 15.6758 + 10.4742i 0.974046 + 0.650837i
\(260\) 3.70327 + 5.11362i 0.229667 + 0.317133i
\(261\) 2.69687 + 0.536441i 0.166932 + 0.0332049i
\(262\) 12.4177 6.94169i 0.767166 0.428859i
\(263\) 8.37970 20.2304i 0.516714 1.24746i −0.423196 0.906038i \(-0.639092\pi\)
0.939911 0.341421i \(-0.110908\pi\)
\(264\) 2.24068 + 14.3614i 0.137905 + 0.883882i
\(265\) −5.64647 13.6318i −0.346860 0.837394i
\(266\) −5.94008 + 7.52306i −0.364210 + 0.461268i
\(267\) 4.40856 + 6.59788i 0.269800 + 0.403784i
\(268\) 0.726933 + 19.2563i 0.0444045 + 1.17626i
\(269\) −15.0982 + 3.00321i −0.920551 + 0.183109i −0.632549 0.774521i \(-0.717991\pi\)
−0.288002 + 0.957630i \(0.592991\pi\)
\(270\) −1.02994 1.20778i −0.0626799 0.0735030i
\(271\) −4.11471 4.11471i −0.249951 0.249951i 0.571000 0.820950i \(-0.306556\pi\)
−0.820950 + 0.571000i \(0.806556\pi\)
\(272\) 5.88149 + 11.6314i 0.356618 + 0.705254i
\(273\) 4.67437 4.67437i 0.282906 0.282906i
\(274\) 4.81769 + 0.382887i 0.291047 + 0.0231310i
\(275\) −3.74982 18.8516i −0.226123 1.13680i
\(276\) −0.736096 1.60319i −0.0443078 0.0965009i
\(277\) −8.81737 + 5.89158i −0.529785 + 0.353991i −0.791514 0.611150i \(-0.790707\pi\)
0.261730 + 0.965141i \(0.415707\pi\)
\(278\) 24.9150 2.92947i 1.49430 0.175698i
\(279\) −2.99462 + 1.24041i −0.179283 + 0.0742615i
\(280\) −3.13933 + 6.76863i −0.187611 + 0.404503i
\(281\) 5.40709 + 2.23969i 0.322560 + 0.133609i 0.538087 0.842889i \(-0.319147\pi\)
−0.215528 + 0.976498i \(0.569147\pi\)
\(282\) 1.79291 6.33852i 0.106766 0.377454i
\(283\) −3.84399 + 19.3250i −0.228501 + 1.14875i 0.680753 + 0.732513i \(0.261653\pi\)
−0.909254 + 0.416241i \(0.863347\pi\)
\(284\) 27.6928 6.60343i 1.64326 0.391842i
\(285\) 1.79827 2.69131i 0.106520 0.159419i
\(286\) 19.4455 6.30170i 1.14983 0.372627i
\(287\) 11.3258i 0.668539i
\(288\) 2.18485 5.21789i 0.128744 0.307467i
\(289\) 6.38248i 0.375440i
\(290\) 1.34554 + 4.15200i 0.0790128 + 0.243814i
\(291\) −9.58877 + 14.3506i −0.562104 + 0.841248i
\(292\) −10.1748 + 16.5466i −0.595436 + 0.968319i
\(293\) 4.45109 22.3772i 0.260036 1.30729i −0.601207 0.799093i \(-0.705313\pi\)
0.861243 0.508194i \(-0.169687\pi\)
\(294\) −2.00871 0.568181i −0.117150 0.0331370i
\(295\) 12.6449 + 5.23770i 0.736216 + 0.304951i
\(296\) 0.943022 22.6689i 0.0548120 1.31760i
\(297\) −4.74776 + 1.96659i −0.275493 + 0.114113i
\(298\) 2.38023 + 20.2438i 0.137883 + 1.17269i
\(299\) −2.06279 + 1.37832i −0.119294 + 0.0797100i
\(300\) −2.59992 + 7.01416i −0.150106 + 0.404963i
\(301\) 5.19651 + 26.1246i 0.299522 + 1.50580i
\(302\) −0.500621 + 6.29908i −0.0288075 + 0.362471i
\(303\) 1.81391 1.81391i 0.104206 0.104206i
\(304\) 11.4513 + 1.39106i 0.656776 + 0.0797830i
\(305\) −2.80350 2.80350i −0.160528 0.160528i
\(306\) −3.50636 + 2.99006i −0.200445 + 0.170930i
\(307\) −22.0815 + 4.39228i −1.26026 + 0.250680i −0.779627 0.626244i \(-0.784591\pi\)
−0.480628 + 0.876924i \(0.659591\pi\)
\(308\) 17.7131 + 16.4244i 1.00930 + 0.935868i
\(309\) −6.82290 10.2112i −0.388141 0.580894i
\(310\) −4.03798 3.18832i −0.229342 0.181085i
\(311\) −2.08804 5.04097i −0.118402 0.285847i 0.853557 0.521000i \(-0.174441\pi\)
−0.971958 + 0.235153i \(0.924441\pi\)
\(312\) −7.73125 1.87498i −0.437696 0.106150i
\(313\) −3.53449 + 8.53301i −0.199781 + 0.482314i −0.991741 0.128259i \(-0.959061\pi\)
0.791960 + 0.610574i \(0.209061\pi\)
\(314\) 10.6051 + 18.9710i 0.598482 + 1.07060i
\(315\) −2.58725 0.514636i −0.145775 0.0289965i
\(316\) −2.22991 + 13.9404i −0.125442 + 0.784206i
\(317\) −0.332653 0.222271i −0.0186836 0.0124840i 0.546193 0.837659i \(-0.316076\pi\)
−0.564877 + 0.825175i \(0.691076\pi\)
\(318\) 16.5585 + 8.45302i 0.928555 + 0.474022i
\(319\) 14.1306 0.791161
\(320\) 8.92161 1.01424i 0.498733 0.0566978i
\(321\) −13.0846 −0.730311
\(322\) −2.61122 1.33301i −0.145517 0.0742858i
\(323\) −7.81327 5.22066i −0.434742 0.290485i
\(324\) 1.97489 + 0.315905i 0.109716 + 0.0175503i
\(325\) 10.3179 + 2.05235i 0.572332 + 0.113844i
\(326\) 0.771745 + 1.38054i 0.0427430 + 0.0764609i
\(327\) −2.69223 + 6.49962i −0.148881 + 0.359430i
\(328\) 11.6377 7.09473i 0.642585 0.391741i
\(329\) −4.18938 10.1140i −0.230968 0.557606i
\(330\) −6.40195 5.05487i −0.352416 0.278262i
\(331\) −11.7805 17.6308i −0.647517 0.969078i −0.999454 0.0330542i \(-0.989477\pi\)
0.351936 0.936024i \(-0.385523\pi\)
\(332\) −3.73538 + 4.02847i −0.205005 + 0.221091i
\(333\) 7.86745 1.56493i 0.431134 0.0857578i
\(334\) −6.82810 + 5.82268i −0.373617 + 0.318603i
\(335\) −7.64677 7.64677i −0.417788 0.417788i
\(336\) −2.52403 9.05603i −0.137697 0.494047i
\(337\) 16.3796 16.3796i 0.892255 0.892255i −0.102480 0.994735i \(-0.532678\pi\)
0.994735 + 0.102480i \(0.0326778\pi\)
\(338\) 0.570182 7.17434i 0.0310138 0.390233i
\(339\) 1.49096 + 7.49556i 0.0809779 + 0.407103i
\(340\) −6.85848 2.54221i −0.371953 0.137871i
\(341\) −13.8499 + 9.25420i −0.750013 + 0.501143i
\(342\) 0.476251 + 4.05050i 0.0257527 + 0.219026i
\(343\) −18.4049 + 7.62357i −0.993773 + 0.411634i
\(344\) 23.5890 21.7047i 1.27183 1.17024i
\(345\) 0.914643 + 0.378858i 0.0492427 + 0.0203970i
\(346\) −28.6551 8.10535i −1.54051 0.435746i
\(347\) −4.65714 + 23.4130i −0.250008 + 1.25688i 0.627994 + 0.778218i \(0.283876\pi\)
−0.878002 + 0.478657i \(0.841124\pi\)
\(348\) −4.68460 2.88064i −0.251121 0.154419i
\(349\) 12.5737 18.8179i 0.673057 1.00730i −0.325044 0.945699i \(-0.605379\pi\)
0.998101 0.0616020i \(-0.0196210\pi\)
\(350\) 3.83259 + 11.8264i 0.204861 + 0.632149i
\(351\) 2.81265i 0.150128i
\(352\) 5.78086 28.4897i 0.308121 1.51850i
\(353\) 20.2428i 1.07741i −0.842493 0.538707i \(-0.818913\pi\)
0.842493 0.538707i \(-0.181087\pi\)
\(354\) −16.4055 + 5.31652i −0.871941 + 0.282570i
\(355\) −8.87617 + 13.2841i −0.471098 + 0.705048i
\(356\) −3.68114 15.4376i −0.195100 0.818190i
\(357\) −1.49407 + 7.51118i −0.0790744 + 0.397534i
\(358\) −2.00098 + 7.07411i −0.105755 + 0.373878i
\(359\) −12.1555 5.03499i −0.641545 0.265736i 0.0381047 0.999274i \(-0.487868\pi\)
−0.679649 + 0.733537i \(0.737868\pi\)
\(360\) 1.09191 + 2.98089i 0.0575485 + 0.157107i
\(361\) 9.87010 4.08833i 0.519479 0.215175i
\(362\) −34.1309 + 4.01306i −1.79388 + 0.210922i
\(363\) −12.8119 + 8.56063i −0.672450 + 0.449317i
\(364\) −12.0152 + 5.51668i −0.629765 + 0.289153i
\(365\) −2.12668 10.6915i −0.111315 0.559620i
\(366\) 4.97992 + 0.395780i 0.260304 + 0.0206877i
\(367\) 12.0748 12.0748i 0.630298 0.630298i −0.317845 0.948143i \(-0.602959\pi\)
0.948143 + 0.317845i \(0.102959\pi\)
\(368\) 0.266004 + 3.51817i 0.0138664 + 0.183397i
\(369\) 3.40745 + 3.40745i 0.177385 + 0.177385i
\(370\) 8.26171 + 9.68829i 0.429506 + 0.503670i
\(371\) 30.3035 6.02774i 1.57328 0.312945i
\(372\) 6.47809 0.244551i 0.335873 0.0126794i
\(373\) −20.4698 30.6353i −1.05989 1.58623i −0.779558 0.626330i \(-0.784556\pi\)
−0.280330 0.959904i \(-0.590444\pi\)
\(374\) −14.6751 + 18.5858i −0.758829 + 0.961050i
\(375\) −3.75410 9.06319i −0.193861 0.468021i
\(376\) −7.76829 + 10.6405i −0.400619 + 0.548739i
\(377\) −2.95965 + 7.14524i −0.152430 + 0.367998i
\(378\) 2.90127 1.62186i 0.149225 0.0834195i
\(379\) −11.8829 2.36365i −0.610382 0.121413i −0.119786 0.992800i \(-0.538221\pi\)
−0.490596 + 0.871387i \(0.663221\pi\)
\(380\) −5.24311 + 3.79704i −0.268966 + 0.194784i
\(381\) 8.84427 + 5.90955i 0.453106 + 0.302756i
\(382\) 10.4671 20.5038i 0.535541 1.04906i
\(383\) −3.53211 −0.180482 −0.0902412 0.995920i \(-0.528764\pi\)
−0.0902412 + 0.995920i \(0.528764\pi\)
\(384\) −7.72434 + 8.26647i −0.394181 + 0.421846i
\(385\) −13.5562 −0.690889
\(386\) 6.63957 13.0062i 0.337945 0.661996i
\(387\) 9.42323 + 6.29640i 0.479010 + 0.320064i
\(388\) 27.9574 20.2466i 1.41932 1.02787i
\(389\) 18.4685 + 3.67362i 0.936392 + 0.186260i 0.639623 0.768689i \(-0.279091\pi\)
0.296770 + 0.954949i \(0.404091\pi\)
\(390\) 3.89692 2.17845i 0.197328 0.110310i
\(391\) 1.09988 2.65535i 0.0556234 0.134287i
\(392\) 3.37201 + 2.46181i 0.170312 + 0.124340i
\(393\) −3.84959 9.29373i −0.194186 0.468807i
\(394\) −15.0663 + 19.0813i −0.759029 + 0.961303i
\(395\) −4.40160 6.58747i −0.221469 0.331451i
\(396\) 10.2706 0.387719i 0.516115 0.0194836i
\(397\) −2.60521 + 0.518209i −0.130752 + 0.0260081i −0.260032 0.965600i \(-0.583733\pi\)
0.129281 + 0.991608i \(0.458733\pi\)
\(398\) −16.8974 19.8151i −0.846989 0.993242i
\(399\) 4.79273 + 4.79273i 0.239937 + 0.239937i
\(400\) 9.75133 11.3465i 0.487567 0.567326i
\(401\) 0.662573 0.662573i 0.0330873 0.0330873i −0.690370 0.723457i \(-0.742552\pi\)
0.723457 + 0.690370i \(0.242552\pi\)
\(402\) 13.5831 + 1.07952i 0.677463 + 0.0538415i
\(403\) −1.77859 8.94160i −0.0885981 0.445413i
\(404\) −4.66254 + 2.14078i −0.231970 + 0.106508i
\(405\) −0.933229 + 0.623564i −0.0463725 + 0.0309851i
\(406\) −9.07701 + 1.06726i −0.450484 + 0.0529673i
\(407\) 38.0846 15.7752i 1.88778 0.781945i
\(408\) 8.65398 3.16997i 0.428436 0.156937i
\(409\) −18.7149 7.75195i −0.925391 0.383309i −0.131463 0.991321i \(-0.541967\pi\)
−0.793928 + 0.608012i \(0.791967\pi\)
\(410\) −2.08189 + 7.36016i −0.102817 + 0.363493i
\(411\) 0.666695 3.35170i 0.0328856 0.165327i
\(412\) 5.69711 + 23.8919i 0.280677 + 1.17707i
\(413\) −15.9229 + 23.8302i −0.783513 + 1.17261i
\(414\) −1.18665 + 0.384559i −0.0583209 + 0.0189001i
\(415\) 3.08307i 0.151342i
\(416\) 13.1952 + 8.89031i 0.646949 + 0.435883i
\(417\) 17.7390i 0.868680i
\(418\) 6.46126 + 19.9378i 0.316031 + 0.975192i
\(419\) 3.63817 5.44491i 0.177736 0.266001i −0.731895 0.681417i \(-0.761364\pi\)
0.909632 + 0.415416i \(0.136364\pi\)
\(420\) 4.49418 + 2.76355i 0.219294 + 0.134847i
\(421\) −2.59589 + 13.0504i −0.126516 + 0.636039i 0.864537 + 0.502569i \(0.167612\pi\)
−0.991053 + 0.133470i \(0.957388\pi\)
\(422\) 12.5420 + 3.54762i 0.610535 + 0.172695i
\(423\) −4.30330 1.78249i −0.209234 0.0866675i
\(424\) −25.1766 27.3622i −1.22268 1.32883i
\(425\) −11.2597 + 4.66393i −0.546177 + 0.226234i
\(426\) −2.35075 19.9930i −0.113894 0.968665i
\(427\) 6.90309 4.61250i 0.334064 0.223214i
\(428\) 24.5378 + 9.09534i 1.18608 + 0.439640i
\(429\) −2.81984 14.1763i −0.136143 0.684438i
\(430\) −1.42519 + 17.9326i −0.0687290 + 0.864786i
\(431\) −15.5516 + 15.5516i −0.749094 + 0.749094i −0.974309 0.225215i \(-0.927692\pi\)
0.225215 + 0.974309i \(0.427692\pi\)
\(432\) −3.48396 1.96521i −0.167622 0.0945510i
\(433\) −27.0589 27.0589i −1.30037 1.30037i −0.928144 0.372222i \(-0.878596\pi\)
−0.372222 0.928144i \(-0.621404\pi\)
\(434\) 8.19775 6.99065i 0.393504 0.335562i
\(435\) 3.02693 0.602093i 0.145130 0.0288682i
\(436\) 9.56678 10.3174i 0.458166 0.494115i
\(437\) −1.41322 2.11503i −0.0676033 0.101175i
\(438\) 10.7800 + 8.51175i 0.515091 + 0.406707i
\(439\) 7.57195 + 18.2803i 0.361389 + 0.872471i 0.995098 + 0.0988987i \(0.0315320\pi\)
−0.633708 + 0.773572i \(0.718468\pi\)
\(440\) 8.49194 + 13.9296i 0.404837 + 0.664067i
\(441\) −0.564879 + 1.36374i −0.0268990 + 0.0649399i
\(442\) −6.32437 11.3134i −0.300820 0.538122i
\(443\) −10.6886 2.12609i −0.507829 0.101014i −0.0654755 0.997854i \(-0.520856\pi\)
−0.442354 + 0.896841i \(0.645856\pi\)
\(444\) −15.8418 2.53406i −0.751817 0.120261i
\(445\) 7.40536 + 4.94810i 0.351048 + 0.234563i
\(446\) −27.5810 14.0800i −1.30600 0.666705i
\(447\) 14.4131 0.681717
\(448\) −1.56165 + 18.7374i −0.0737811 + 0.885260i
\(449\) −15.2267 −0.718593 −0.359296 0.933224i \(-0.616983\pi\)
−0.359296 + 0.933224i \(0.616983\pi\)
\(450\) 4.71115 + 2.40501i 0.222086 + 0.113373i
\(451\) 20.5904 + 13.7581i 0.969564 + 0.647842i
\(452\) 2.41428 15.0929i 0.113558 0.709912i
\(453\) 4.38231 + 0.871696i 0.205899 + 0.0409559i
\(454\) −12.1190 21.6792i −0.568775 1.01745i
\(455\) 2.83935 6.85480i 0.133111 0.321358i
\(456\) 1.92245 7.92702i 0.0900271 0.371217i
\(457\) −14.0232 33.8549i −0.655976 1.58367i −0.803964 0.594678i \(-0.797280\pi\)
0.147988 0.988989i \(-0.452720\pi\)
\(458\) −7.17164 5.66261i −0.335109 0.264596i
\(459\) 1.81030 + 2.70930i 0.0844975 + 0.126460i
\(460\) −1.45189 1.34626i −0.0676949 0.0627698i
\(461\) 25.9716 5.16606i 1.20962 0.240608i 0.451227 0.892409i \(-0.350987\pi\)
0.758389 + 0.651802i \(0.225987\pi\)
\(462\) 12.9970 11.0832i 0.604674 0.515637i
\(463\) −6.92681 6.92681i −0.321916 0.321916i 0.527586 0.849502i \(-0.323097\pi\)
−0.849502 + 0.527586i \(0.823097\pi\)
\(464\) 6.78272 + 8.65846i 0.314880 + 0.401959i
\(465\) −2.57248 + 2.57248i −0.119296 + 0.119296i
\(466\) 1.10259 13.8734i 0.0510767 0.642675i
\(467\) 1.28868 + 6.47864i 0.0596331 + 0.299796i 0.999079 0.0429004i \(-0.0136598\pi\)
−0.939446 + 0.342696i \(0.888660\pi\)
\(468\) −1.95512 + 5.27460i −0.0903755 + 0.243818i
\(469\) 18.8287 12.5809i 0.869429 0.580934i
\(470\) −0.863356 7.34281i −0.0398236 0.338698i
\(471\) 14.1984 5.88119i 0.654230 0.270991i
\(472\) 34.4611 + 1.43358i 1.58620 + 0.0659857i
\(473\) 53.8074 + 22.2878i 2.47407 + 1.02479i
\(474\) 9.60575 + 2.71708i 0.441207 + 0.124799i
\(475\) −2.10432 + 10.5791i −0.0965528 + 0.485404i
\(476\) 8.02301 13.0473i 0.367734 0.598022i
\(477\) 7.30356 10.9305i 0.334407 0.500475i
\(478\) 11.4669 + 35.3841i 0.524485 + 1.61843i
\(479\) 8.56249i 0.391230i 0.980681 + 0.195615i \(0.0626703\pi\)
−0.980681 + 0.195615i \(0.937330\pi\)
\(480\) 0.0244019 6.34912i 0.00111379 0.289796i
\(481\) 22.5619i 1.02873i
\(482\) −9.07559 + 2.94113i −0.413382 + 0.133965i
\(483\) −1.15175 + 1.72371i −0.0524062 + 0.0784315i
\(484\) 29.9770 7.14812i 1.36259 0.324914i
\(485\) −3.77921 + 18.9994i −0.171605 + 0.862718i
\(486\) 0.384921 1.36082i 0.0174604 0.0617281i
\(487\) 8.34116 + 3.45502i 0.377974 + 0.156562i 0.563578 0.826063i \(-0.309424\pi\)
−0.185604 + 0.982625i \(0.559424\pi\)
\(488\) −9.06380 4.20384i −0.410299 0.190299i
\(489\) 1.03323 0.427979i 0.0467244 0.0193539i
\(490\) −2.32697 + 0.273601i −0.105122 + 0.0123601i
\(491\) −11.2721 + 7.53178i −0.508703 + 0.339904i −0.783289 0.621658i \(-0.786459\pi\)
0.274586 + 0.961563i \(0.411459\pi\)
\(492\) −4.02147 8.75863i −0.181302 0.394869i
\(493\) −1.74797 8.78763i −0.0787245 0.395775i
\(494\) −11.4350 0.908802i −0.514487 0.0408889i
\(495\) −4.07850 + 4.07850i −0.183315 + 0.183315i
\(496\) −12.3185 4.04442i −0.553115 0.181600i
\(497\) −23.6566 23.6566i −1.06115 1.06115i
\(498\) 2.52063 + 2.95588i 0.112952 + 0.132456i
\(499\) −7.22643 + 1.43743i −0.323499 + 0.0643480i −0.354169 0.935182i \(-0.615236\pi\)
0.0306693 + 0.999530i \(0.490236\pi\)
\(500\) 0.740132 + 19.6059i 0.0330997 + 0.876802i
\(501\) 3.52528 + 5.27595i 0.157498 + 0.235712i
\(502\) −8.05314 + 10.1992i −0.359429 + 0.455213i
\(503\) 0.247896 + 0.598473i 0.0110531 + 0.0266846i 0.929310 0.369301i \(-0.120403\pi\)
−0.918257 + 0.395986i \(0.870403\pi\)
\(504\) −6.56818 + 1.02478i −0.292570 + 0.0456472i
\(505\) 1.10182 2.66004i 0.0490306 0.118370i
\(506\) −5.59543 + 3.12794i −0.248747 + 0.139054i
\(507\) −4.99124 0.992819i −0.221669 0.0440926i
\(508\) −12.4780 17.2301i −0.553620 0.764462i
\(509\) −14.6415 9.78316i −0.648975 0.433631i 0.187029 0.982354i \(-0.440114\pi\)
−0.836004 + 0.548723i \(0.815114\pi\)
\(510\) −2.35163 + 4.60658i −0.104132 + 0.203983i
\(511\) 22.8269 1.00980
\(512\) 20.2318 10.1329i 0.894126 0.447816i
\(513\) 2.88387 0.127326
\(514\) 8.97081 17.5728i 0.395686 0.775103i
\(515\) −11.4609 7.65792i −0.505027 0.337448i
\(516\) −13.2948 18.3580i −0.585270 0.808166i
\(517\) −23.4766 4.66978i −1.03250 0.205377i
\(518\) −23.2728 + 13.0099i −1.02255 + 0.571622i
\(519\) −8.05824 + 19.4543i −0.353717 + 0.853949i
\(520\) −8.82225 + 1.37646i −0.386881 + 0.0603617i
\(521\) 14.7297 + 35.5605i 0.645318 + 1.55794i 0.819411 + 0.573206i \(0.194301\pi\)
−0.174093 + 0.984729i \(0.555699\pi\)
\(522\) −2.40980 + 3.05199i −0.105474 + 0.133582i
\(523\) −13.0998 19.6052i −0.572812 0.857274i 0.426063 0.904694i \(-0.359900\pi\)
−0.998875 + 0.0474196i \(0.984900\pi\)
\(524\) 0.758959 + 20.1046i 0.0331553 + 0.878274i
\(525\) 8.62180 1.71498i 0.376286 0.0748480i
\(526\) 20.0936 + 23.5632i 0.876121 + 1.02740i
\(527\) 7.46831 + 7.46831i 0.325325 + 0.325325i
\(528\) −19.5301 6.41216i −0.849937 0.279053i
\(529\) −15.7133 + 15.7133i −0.683188 + 0.683188i
\(530\) 20.8010 + 1.65317i 0.903539 + 0.0718090i
\(531\) 2.37900 + 11.9601i 0.103240 + 0.519022i
\(532\) −5.65637 12.3194i −0.245235 0.534114i
\(533\) −11.2695 + 7.53006i −0.488138 + 0.326163i
\(534\) −11.1453 + 1.31045i −0.482304 + 0.0567086i
\(535\) −13.5681 + 5.62007i −0.586598 + 0.242977i
\(536\) −24.7222 11.4663i −1.06784 0.495269i
\(537\) 4.80270 + 1.98934i 0.207252 + 0.0858465i
\(538\) 5.92545 20.9484i 0.255464 0.903151i
\(539\) −1.47987 + 7.43983i −0.0637427 + 0.320456i
\(540\) 2.18355 0.520675i 0.0939650 0.0224063i
\(541\) 16.5249 24.7313i 0.710463 1.06328i −0.284065 0.958805i \(-0.591683\pi\)
0.994527 0.104477i \(-0.0333169\pi\)
\(542\) 7.82859 2.53701i 0.336267 0.108974i
\(543\) 24.3005i 1.04283i
\(544\) −18.4325 0.0708424i −0.790285 0.00303734i
\(545\) 7.89613i 0.338233i
\(546\) 2.88208 + 8.89340i 0.123342 + 0.380602i
\(547\) −0.124948 + 0.186997i −0.00534237 + 0.00799542i −0.834131 0.551566i \(-0.814030\pi\)
0.828789 + 0.559562i \(0.189030\pi\)
\(548\) −3.58009 + 5.82207i −0.152934 + 0.248706i
\(549\) 0.689144 3.46456i 0.0294120 0.147864i
\(550\) 26.1563 + 7.39854i 1.11531 + 0.315475i
\(551\) −7.32616 3.03460i −0.312105 0.129278i
\(552\) 2.49267 + 0.103695i 0.106095 + 0.00441354i
\(553\) 15.3274 6.34882i 0.651787 0.269979i
\(554\) −1.75127 14.8945i −0.0744045 0.632807i
\(555\) 7.48597 5.00197i 0.317762 0.212322i
\(556\) −12.3307 + 33.2661i −0.522937 + 1.41080i
\(557\) 5.08629 + 25.5705i 0.215513 + 1.08346i 0.925357 + 0.379097i \(0.123765\pi\)
−0.709844 + 0.704359i \(0.751235\pi\)
\(558\) 0.363166 4.56955i 0.0153740 0.193445i
\(559\) −22.5400 + 22.5400i −0.953339 + 0.953339i
\(560\) −6.50702 8.30652i −0.274972 0.351014i
\(561\) 11.8405 + 11.8405i 0.499906 + 0.499906i
\(562\) −6.29787 + 5.37052i −0.265659 + 0.226542i
\(563\) −5.97284 + 1.18807i −0.251725 + 0.0500712i −0.319340 0.947640i \(-0.603461\pi\)
0.0676147 + 0.997712i \(0.478461\pi\)
\(564\) 6.83102 + 6.33403i 0.287638 + 0.266711i
\(565\) 4.76553 + 7.13212i 0.200487 + 0.300050i
\(566\) −21.8697 17.2680i −0.919252 0.725826i
\(567\) −0.899420 2.17139i −0.0377721 0.0911899i
\(568\) −9.48911 + 39.1273i −0.398154 + 1.64174i
\(569\) −4.41747 + 10.6647i −0.185190 + 0.447089i −0.989022 0.147768i \(-0.952791\pi\)
0.803832 + 0.594856i \(0.202791\pi\)
\(570\) 2.23361 + 3.99560i 0.0935556 + 0.167357i
\(571\) 16.7687 + 3.33550i 0.701748 + 0.139586i 0.533053 0.846082i \(-0.321045\pi\)
0.168695 + 0.985668i \(0.446045\pi\)
\(572\) −4.56610 + 28.5452i −0.190918 + 1.19353i
\(573\) −13.5349 9.04372i −0.565428 0.377807i
\(574\) −14.2657 7.28256i −0.595439 0.303968i
\(575\) −3.29910 −0.137582
\(576\) 5.16747 + 6.10714i 0.215311 + 0.254464i
\(577\) 40.3595 1.68019 0.840095 0.542439i \(-0.182499\pi\)
0.840095 + 0.542439i \(0.182499\pi\)
\(578\) −8.03925 4.10399i −0.334389 0.170703i
\(579\) −8.58559 5.73671i −0.356805 0.238409i
\(580\) −6.09497 0.974956i −0.253080 0.0404828i
\(581\) 6.33196 + 1.25950i 0.262694 + 0.0522530i
\(582\) −11.9101 21.3054i −0.493689 0.883136i
\(583\) 25.8529 62.4144i 1.07072 2.58494i
\(584\) −14.2993 23.4556i −0.591710 0.970600i
\(585\) −1.20808 2.91657i −0.0499480 0.120585i
\(586\) 25.3237 + 19.9952i 1.04611 + 0.825994i
\(587\) 11.0998 + 16.6120i 0.458136 + 0.685649i 0.986573 0.163324i \(-0.0522215\pi\)
−0.528436 + 0.848973i \(0.677221\pi\)
\(588\) 2.00728 2.16478i 0.0827790 0.0892741i
\(589\) 9.16801 1.82363i 0.377761 0.0751414i
\(590\) −14.7281 + 12.5594i −0.606346 + 0.517063i
\(591\) 12.1562 + 12.1562i 0.500038 + 0.500038i
\(592\) 27.9469 + 15.7641i 1.14861 + 0.647899i
\(593\) −28.5859 + 28.5859i −1.17388 + 1.17388i −0.192604 + 0.981276i \(0.561693\pi\)
−0.981276 + 0.192604i \(0.938307\pi\)
\(594\) 0.575775 7.24472i 0.0236243 0.297254i
\(595\) 1.67692 + 8.43044i 0.0687469 + 0.345614i
\(596\) −27.0291 10.0188i −1.10716 0.410387i
\(597\) −15.3108 + 10.2303i −0.626629 + 0.418700i
\(598\) −0.409705 3.48452i −0.0167541 0.142493i
\(599\) 27.9944 11.5957i 1.14382 0.473787i 0.271365 0.962477i \(-0.412525\pi\)
0.872457 + 0.488690i \(0.162525\pi\)
\(600\) −7.16312 7.78496i −0.292433 0.317820i
\(601\) 7.39208 + 3.06190i 0.301529 + 0.124897i 0.528318 0.849046i \(-0.322823\pi\)
−0.226789 + 0.973944i \(0.572823\pi\)
\(602\) −36.2474 10.2529i −1.47734 0.417878i
\(603\) 1.87969 9.44985i 0.0765470 0.384828i
\(604\) −7.61229 4.68093i −0.309740 0.190464i
\(605\) −9.60832 + 14.3799i −0.390634 + 0.584625i
\(606\) 1.11841 + 3.45113i 0.0454322 + 0.140192i
\(607\) 39.2584i 1.59345i 0.604341 + 0.796726i \(0.293436\pi\)
−0.604341 + 0.796726i \(0.706564\pi\)
\(608\) −9.11542 + 13.5293i −0.369679 + 0.548687i
\(609\) 6.46263i 0.261879i
\(610\) 5.33391 1.72856i 0.215964 0.0699874i
\(611\) 7.27848 10.8930i 0.294456 0.440684i
\(612\) −1.51160 6.33917i −0.0611027 0.256246i
\(613\) 1.15228 5.79291i 0.0465402 0.233974i −0.950513 0.310684i \(-0.899442\pi\)
0.997053 + 0.0767108i \(0.0244418\pi\)
\(614\) 8.66613 30.6376i 0.349737 1.23643i
\(615\) 4.99691 + 2.06979i 0.201495 + 0.0834619i
\(616\) −32.0776 + 11.7501i −1.29244 + 0.473424i
\(617\) 10.3440 4.28464i 0.416435 0.172493i −0.164621 0.986357i \(-0.552640\pi\)
0.581055 + 0.813864i \(0.302640\pi\)
\(618\) 17.2490 2.02811i 0.693856 0.0815825i
\(619\) 7.87296 5.26054i 0.316441 0.211439i −0.387198 0.921996i \(-0.626557\pi\)
0.703639 + 0.710557i \(0.251557\pi\)
\(620\) 6.61240 3.03604i 0.265560 0.121930i
\(621\) 0.172080 + 0.865104i 0.00690533 + 0.0347154i
\(622\) 7.69213 + 0.611333i 0.308426 + 0.0245122i
\(623\) −13.1876 + 13.1876i −0.528350 + 0.528350i
\(624\) 7.33294 8.53250i 0.293552 0.341574i
\(625\) 5.43818 + 5.43818i 0.217527 + 0.217527i
\(626\) −8.47530 9.93876i −0.338741 0.397233i
\(627\) 14.5353 2.89124i 0.580482 0.115465i
\(628\) −30.7147 + 1.15949i −1.22565 + 0.0462689i
\(629\) −14.5215 21.7329i −0.579009 0.866548i
\(630\) 2.31185 2.92793i 0.0921062 0.116652i
\(631\) −11.1515 26.9221i −0.443934 1.07175i −0.974556 0.224143i \(-0.928042\pi\)
0.530623 0.847608i \(-0.321958\pi\)
\(632\) −16.1251 11.7725i −0.641424 0.468285i
\(633\) 3.52700 8.51492i 0.140186 0.338438i
\(634\) 0.493867 0.276080i 0.0196140 0.0109645i
\(635\) 11.7093 + 2.32913i 0.464670 + 0.0924286i
\(636\) −21.2945 + 15.4214i −0.844382 + 0.611498i
\(637\) −3.45205 2.30658i −0.136775 0.0913902i
\(638\) −9.08608 + 17.7986i −0.359721 + 0.704653i
\(639\) −14.2346 −0.563112
\(640\) −4.45915 + 11.8896i −0.176263 + 0.469979i
\(641\) −14.4610 −0.571177 −0.285589 0.958352i \(-0.592189\pi\)
−0.285589 + 0.958352i \(0.592189\pi\)
\(642\) 8.41350 16.4811i 0.332055 0.650457i
\(643\) 17.9009 + 11.9610i 0.705944 + 0.471697i 0.855997 0.516981i \(-0.172944\pi\)
−0.150052 + 0.988678i \(0.547944\pi\)
\(644\) 3.35807 2.43190i 0.132326 0.0958303i
\(645\) 12.4758 + 2.48159i 0.491235 + 0.0977127i
\(646\) 11.5998 6.48451i 0.456389 0.255130i
\(647\) −6.08613 + 14.6932i −0.239270 + 0.577650i −0.997208 0.0746777i \(-0.976207\pi\)
0.757937 + 0.652327i \(0.226207\pi\)
\(648\) −1.66778 + 2.28441i −0.0655166 + 0.0897399i
\(649\) 23.9813 + 57.8960i 0.941348 + 2.27261i
\(650\) −9.21957 + 11.6765i −0.361621 + 0.457990i
\(651\) −4.23241 6.33425i −0.165881 0.248259i
\(652\) −2.23514 + 0.0843775i −0.0875347 + 0.00330448i
\(653\) 4.67112 0.929144i 0.182795 0.0363602i −0.102844 0.994698i \(-0.532794\pi\)
0.285639 + 0.958337i \(0.407794\pi\)
\(654\) −6.45566 7.57038i −0.252436 0.296025i
\(655\) −7.98365 7.98365i −0.311947 0.311947i
\(656\) 1.45324 + 19.2206i 0.0567397 + 0.750438i
\(657\) 6.86766 6.86766i 0.267933 0.267933i
\(658\) 15.4333 + 1.22656i 0.601651 + 0.0478163i
\(659\) −5.07329 25.5051i −0.197627 0.993539i −0.944485 0.328555i \(-0.893438\pi\)
0.746858 0.664984i \(-0.231562\pi\)
\(660\) 10.4835 4.81344i 0.408070 0.187363i
\(661\) −18.4874 + 12.3529i −0.719077 + 0.480472i −0.860483 0.509480i \(-0.829838\pi\)
0.141406 + 0.989952i \(0.454838\pi\)
\(662\) 29.7824 3.50177i 1.15753 0.136100i
\(663\) −8.46724 + 3.50725i −0.328840 + 0.136210i
\(664\) −2.67230 7.29534i −0.103705 0.283114i
\(665\) 7.02838 + 2.91125i 0.272549 + 0.112893i
\(666\) −3.08768 + 10.9159i −0.119645 + 0.422984i
\(667\) 0.473169 2.37878i 0.0183212 0.0921068i
\(668\) −2.94360 12.3446i −0.113891 0.477626i
\(669\) −12.1653 + 18.2067i −0.470339 + 0.703912i
\(670\) 14.5486 4.71478i 0.562063 0.182148i
\(671\) 18.1530i 0.700788i
\(672\) 13.0298 + 2.64388i 0.502634 + 0.101990i
\(673\) 16.1507i 0.622564i −0.950318 0.311282i \(-0.899242\pi\)
0.950318 0.311282i \(-0.100758\pi\)
\(674\) 10.0992 + 31.1637i 0.389007 + 1.20038i
\(675\) 2.07797 3.10991i 0.0799812 0.119700i
\(676\) 8.67003 + 5.33135i 0.333463 + 0.205052i
\(677\) −4.62855 + 23.2693i −0.177890 + 0.894311i 0.783976 + 0.620791i \(0.213188\pi\)
−0.961866 + 0.273521i \(0.911812\pi\)
\(678\) −10.4000 2.94172i −0.399408 0.112976i
\(679\) −37.4768 15.5234i −1.43823 0.595733i
\(680\) 7.61217 7.00414i 0.291914 0.268596i
\(681\) −16.2253 + 6.72074i −0.621755 + 0.257539i
\(682\) −2.75081 23.3956i −0.105334 0.895862i
\(683\) 10.3658 6.92618i 0.396635 0.265023i −0.341219 0.939984i \(-0.610840\pi\)
0.737853 + 0.674961i \(0.235840\pi\)
\(684\) −5.40816 2.00463i −0.206786 0.0766488i
\(685\) −0.748288 3.76190i −0.0285906 0.143735i
\(686\) 2.23202 28.0845i 0.0852189 1.07227i
\(687\) −4.56885 + 4.56885i −0.174312 + 0.174312i
\(688\) 12.1710 + 43.6685i 0.464014 + 1.66485i
\(689\) 26.1454 + 26.1454i 0.996061 + 0.996061i
\(690\) −1.06532 + 0.908457i −0.0405562 + 0.0345844i
\(691\) 16.6634 3.31456i 0.633907 0.126092i 0.132331 0.991206i \(-0.457754\pi\)
0.501576 + 0.865114i \(0.332754\pi\)
\(692\) 28.6348 30.8815i 1.08853 1.17394i
\(693\) −6.71020 10.0425i −0.254900 0.381484i
\(694\) −26.4960 20.9208i −1.00577 0.794142i
\(695\) −7.61920 18.3944i −0.289013 0.697738i
\(696\) 6.64063 4.04835i 0.251712 0.153452i
\(697\) 6.00891 14.5068i 0.227604 0.549484i
\(698\) 15.6177 + 27.9377i 0.591138 + 1.05746i
\(699\) −9.65185 1.91987i −0.365066 0.0726162i
\(700\) −17.3607 2.77703i −0.656173 0.104962i
\(701\) 36.3684 + 24.3006i 1.37361 + 0.917820i 0.999953 0.00974462i \(-0.00310186\pi\)
0.373662 + 0.927565i \(0.378102\pi\)
\(702\) 3.54275 + 1.80855i 0.133713 + 0.0682595i
\(703\) −23.1332 −0.872484
\(704\) 32.1679 + 25.6005i 1.21237 + 0.964856i
\(705\) −5.22791 −0.196895
\(706\) 25.4974 + 13.0163i 0.959606 + 0.489873i
\(707\) 5.01303 + 3.34960i 0.188534 + 0.125975i
\(708\) 3.85226 24.0826i 0.144777 0.905078i
\(709\) −40.5607 8.06803i −1.52329 0.303001i −0.638731 0.769430i \(-0.720540\pi\)
−0.884559 + 0.466429i \(0.845540\pi\)
\(710\) −11.0250 19.7220i −0.413760 0.740155i
\(711\) 2.70128 6.52147i 0.101306 0.244574i
\(712\) 21.8119 + 5.28979i 0.817434 + 0.198243i
\(713\) 1.09411 + 2.64141i 0.0409747 + 0.0989216i
\(714\) −8.50024 6.71165i −0.318113 0.251177i
\(715\) −9.01300 13.4889i −0.337067 0.504457i
\(716\) −7.62376 7.06909i −0.284913 0.264184i
\(717\) 25.7960 5.13114i 0.963369 0.191626i
\(718\) 14.1581 12.0733i 0.528375 0.450573i
\(719\) −5.93274 5.93274i −0.221254 0.221254i 0.587772 0.809026i \(-0.300005\pi\)
−0.809026 + 0.587772i \(0.800005\pi\)
\(720\) −4.45678 0.541394i −0.166094 0.0201766i
\(721\) 20.4098 20.4098i 0.760099 0.760099i
\(722\) −1.19698 + 15.0610i −0.0445469 + 0.560513i
\(723\) 1.31608 + 6.61636i 0.0489454 + 0.246065i
\(724\) 16.8917 45.5711i 0.627775 1.69364i
\(725\) −8.55133 + 5.71382i −0.317588 + 0.212206i
\(726\) −2.54465 21.6421i −0.0944408 0.803215i
\(727\) −14.1268 + 5.85151i −0.523934 + 0.217021i −0.628944 0.777451i \(-0.716513\pi\)
0.105010 + 0.994471i \(0.466513\pi\)
\(728\) 0.777141 18.6813i 0.0288027 0.692376i
\(729\) −0.923880 0.382683i −0.0342178 0.0141735i
\(730\) 14.8343 + 4.19602i 0.549042 + 0.155302i
\(731\) 7.20444 36.2192i 0.266466 1.33961i
\(732\) −3.70064 + 6.01811i −0.136780 + 0.222436i
\(733\) 29.1094 43.5654i 1.07518 1.60912i 0.327776 0.944755i \(-0.393701\pi\)
0.747406 0.664368i \(-0.231299\pi\)
\(734\) 7.44496 + 22.9733i 0.274799 + 0.847960i
\(735\) 1.65675i 0.0611102i
\(736\) −4.60246 1.92716i −0.169649 0.0710359i
\(737\) 49.5136i 1.82386i
\(738\) −6.48297 + 2.10094i −0.238642 + 0.0773366i
\(739\) 15.8956 23.7895i 0.584730 0.875111i −0.414662 0.909976i \(-0.636100\pi\)
0.999392 + 0.0348648i \(0.0111001\pi\)
\(740\) −17.5155 + 4.17664i −0.643883 + 0.153536i
\(741\) −1.58243 + 7.95543i −0.0581322 + 0.292250i
\(742\) −11.8930 + 42.0455i −0.436604 + 1.54354i
\(743\) 16.2982 + 6.75095i 0.597924 + 0.247668i 0.661056 0.750337i \(-0.270109\pi\)
−0.0631313 + 0.998005i \(0.520109\pi\)
\(744\) −3.85743 + 8.31692i −0.141420 + 0.304913i
\(745\) 14.9457 6.19069i 0.547566 0.226809i
\(746\) 51.7498 6.08466i 1.89470 0.222775i
\(747\) 2.28395 1.52609i 0.0835655 0.0558367i
\(748\) −13.9741 30.4352i −0.510945 1.11282i
\(749\) −5.99956 30.1618i −0.219219 1.10209i
\(750\) 13.8297 + 1.09912i 0.504990 + 0.0401342i
\(751\) 9.73589 9.73589i 0.355268 0.355268i −0.506797 0.862065i \(-0.669171\pi\)
0.862065 + 0.506797i \(0.169171\pi\)
\(752\) −8.40742 16.6267i −0.306587 0.606312i
\(753\) 6.49764 + 6.49764i 0.236787 + 0.236787i
\(754\) −7.09691 8.32237i −0.258454 0.303083i
\(755\) 4.91864 0.978379i 0.179008 0.0356068i
\(756\) 0.177324 + 4.69725i 0.00644919 + 0.170837i
\(757\) 22.0131 + 32.9450i 0.800082 + 1.19741i 0.977012 + 0.213183i \(0.0683831\pi\)
−0.176931 + 0.984223i \(0.556617\pi\)
\(758\) 10.6180 13.4476i 0.385663 0.488438i
\(759\) 1.73463 + 4.18778i 0.0629632 + 0.152007i
\(760\) −1.41131 9.04563i −0.0511937 0.328120i
\(761\) −14.5474 + 35.1206i −0.527344 + 1.27312i 0.405913 + 0.913912i \(0.366954\pi\)
−0.933257 + 0.359210i \(0.883046\pi\)
\(762\) −13.1305 + 7.34018i −0.475667 + 0.265906i
\(763\) −16.2170 3.22575i −0.587093 0.116780i
\(764\) 19.0957 + 26.3682i 0.690859 + 0.953967i
\(765\) 3.04088 + 2.03185i 0.109943 + 0.0734618i
\(766\) 2.27118 4.44898i 0.0820609 0.160748i
\(767\) −34.2984 −1.23844
\(768\) −5.44546 15.0448i −0.196496 0.542884i
\(769\) 4.52202 0.163068 0.0815340 0.996671i \(-0.474018\pi\)
0.0815340 + 0.996671i \(0.474018\pi\)
\(770\) 8.71675 17.0751i 0.314130 0.615345i
\(771\) −11.6001 7.75094i −0.417767 0.279143i
\(772\) 12.1130 + 16.7261i 0.435956 + 0.601987i
\(773\) 0.945190 + 0.188010i 0.0339961 + 0.00676225i 0.212059 0.977257i \(-0.431983\pi\)
−0.178063 + 0.984019i \(0.556983\pi\)