Properties

Label 192.2.r.a.13.7
Level $192$
Weight $2$
Character 192.13
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 13.7
Character \(\chi\) \(=\) 192.13
Dual form 192.2.r.a.133.7

$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{15}{16}\right)\)

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 0.0573042 0.998357i \(-0.481750\pi\)
0.434997 + 0.900432i \(0.356750\pi\)
\(6\) −1.23443 0.690066i −0.503953 0.281718i
\(7\) −0.899420 2.17139i −0.339949 0.820709i −0.997720 0.0674912i \(-0.978501\pi\)
0.657771 0.753218i \(-0.271499\pi\)
\(8\) 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 −0.0953232 0.995446i \(-0.530388\pi\)
0.956151 0.292874i \(-0.0946115\pi\)
\(12\) −0.0754472 + 1.99858i −0.0217797 + 0.576939i
\(13\) −2.75860 0.548720i −0.765098 0.152188i −0.202911 0.979197i \(-0.565040\pi\)
−0.562188 + 0.827010i \(0.690040\pi\)
\(14\) −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 0.928971 0.370151i \(-0.120694\pi\)
−0.370151 + 0.928971i \(0.620694\pi\)
\(18\) −1.40977 + 0.112042i −0.332286 + 0.0264085i
\(19\) −0.562614 + 2.82845i −0.129073 + 0.648891i 0.861031 + 0.508553i \(0.169819\pi\)
−0.990104 + 0.140339i \(0.955181\pi\)
\(20\) −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 0.466022 0.884773i \(-0.345687\pi\)
−0.296102 + 0.955156i \(0.595687\pi\)
\(24\) 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 0.945755 0.324882i \(-0.105325\pi\)
−0.662076 + 0.749436i \(0.730325\pi\)
\(30\) −1.50998 0.489340i −0.275683 0.0893408i
\(31\) 3.24135i 0.582164i −0.956698 0.291082i \(-0.905985\pi\)
0.956698 0.291082i \(-0.0940152\pi\)
\(32\) −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 0.866009 + 0.500028i \(0.166677\pi\)
−0.608736 + 0.793373i \(0.708323\pi\)
\(38\) 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 0.702204 0.711976i \(-0.252200\pi\)
−0.00691036 + 0.999976i \(0.502200\pi\)
\(42\) −0.388136 + 3.30108i −0.0598907 + 0.509368i
\(43\) 9.42323 + 6.29640i 1.43703 + 0.960192i 0.998097 + 0.0616715i \(0.0196431\pi\)
0.438932 + 0.898520i \(0.355357\pi\)
\(44\) 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 0.424844 0.905266i \(-0.360329\pi\)
−0.905266 + 0.424844i \(0.860329\pi\)
\(48\) −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 −0.144159 + 0.989554i \(0.546048\pi\)
−0.859062 + 0.511872i \(0.828952\pi\)
\(54\) −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 0.659880 0.751371i \(-0.270607\pi\)
0.897187 + 0.441652i \(0.145607\pi\)
\(60\) 0.354567 + 2.21659i 0.0457744 + 0.286161i
\(61\) −2.93711 + 1.96252i −0.376059 + 0.251274i −0.729207 0.684293i \(-0.760111\pi\)
0.353149 + 0.935567i \(0.385111\pi\)
\(62\) −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 −0.938518 0.345229i \(-0.887801\pi\)
−0.0402053 + 0.999191i \(0.512801\pi\)
\(68\) −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 −0.817785 0.575524i \(-0.804798\pi\)
0.171304 0.985218i \(-0.445202\pi\)
\(72\) 1.47228 2.41503i 0.173510 0.284614i
\(73\) −3.71675 + 8.97304i −0.435013 + 1.05021i 0.542635 + 0.839968i \(0.317427\pi\)
−0.977649 + 0.210246i \(0.932573\pi\)
\(74\) 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 −0.929752 0.368185i \(-0.879979\pi\)
0.368185 + 0.929752i \(0.379979\pi\)
\(80\) −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 −0.998987 0.0450023i \(-0.985670\pi\)
0.940165 + 0.340719i \(0.110670\pi\)
\(84\) 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 0.0413570 0.999144i \(-0.486832\pi\)
0.735746 + 0.677258i \(0.236832\pi\)
\(90\) −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 \(-0.660064\pi\)
0.481929 0.876210i \(-0.339936\pi\)
\(98\) −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 0.997663 0.0683209i \(-0.0217642\pi\)
−0.947866 + 0.318669i \(0.896764\pi\)
\(102\) −1.25425 4.43417i −0.124189 0.439049i
\(103\) −11.3461 + 4.69970i −1.11796 + 0.463075i −0.863672 0.504053i \(-0.831841\pi\)
−0.254289 + 0.967128i \(0.581841\pi\)
\(104\) −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 −0.0955411 0.995425i \(-0.530458\pi\)
−0.956215 + 0.292664i \(0.905458\pi\)
\(108\) 1.81757 + 0.834526i 0.174896 + 0.0803023i
\(109\) 1.37249 6.89995i 0.131460 0.660896i −0.857711 0.514132i \(-0.828114\pi\)
0.989172 0.146764i \(-0.0468858\pi\)
\(110\) −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 −0.405659 0.914025i \(-0.632958\pi\)
0.914025 + 0.405659i \(0.132958\pi\)
\(114\) 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 −0.864440 0.502737i \(-0.832326\pi\)
0.133662 + 0.991027i \(0.457326\pi\)
\(132\) 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 −0.969847 0.243714i \(-0.921634\pi\)
0.858117 + 0.513454i \(0.171634\pi\)
\(138\) −0.773017 0.979019i −0.0658036 0.0833396i
\(139\) −9.85523 + 14.7494i −0.835910 + 1.25103i 0.129835 + 0.991536i \(0.458555\pi\)
−0.965745 + 0.259492i \(0.916445\pi\)
\(140\) 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 0.939300 0.343098i \(-0.111476\pi\)
0.0424734 + 0.999098i \(0.486476\pi\)
\(150\) 5.25333 + 0.617678i 0.428932 + 0.0504332i
\(151\) 4.12805 + 1.70989i 0.335936 + 0.139149i 0.544274 0.838908i \(-0.316805\pi\)
−0.208338 + 0.978057i \(0.566805\pi\)
\(152\) −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 0.997471 + 0.0710744i \(0.0226428\pi\)
−0.316051 + 0.948742i \(0.602357\pi\)
\(158\) 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 0.855005 0.518620i \(-0.173554\pi\)
−0.806339 + 0.591454i \(0.798554\pi\)
\(164\) −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 −0.144151 0.989556i \(-0.546045\pi\)
0.597791 + 0.801652i \(0.296045\pi\)
\(168\) −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 −0.431686 0.902024i \(-0.642081\pi\)
0.744015 0.668162i \(-0.232919\pi\)
\(174\) −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 0.381914 0.924198i \(-0.375265\pi\)
−0.000832665 1.00000i \(0.500265\pi\)
\(180\) 1.52628 + 1.64604i 0.113762 + 0.122689i
\(181\) 13.5006 20.2051i 1.00349 1.50183i 0.144723 0.989472i \(-0.453771\pi\)
0.858770 0.512361i \(-0.171229\pi\)
\(182\) 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 0.446427 0.894820i \(-0.352696\pi\)
0.754877 + 0.655866i \(0.227696\pi\)
\(198\) −3.54621 + 6.34365i −0.252018 + 0.450823i
\(199\) −7.04678 17.0124i −0.499533 1.20598i −0.949736 0.313053i \(-0.898648\pi\)
0.450203 0.892926i \(-0.351352\pi\)
\(200\) −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 0.868230 + 0.496162i \(0.165258\pi\)
−0.992013 + 0.126136i \(0.959742\pi\)
\(212\) −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 \(-0.738042\pi\)
0.680050 0.733166i \(-0.261958\pi\)
\(224\) 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 −0.999451 0.0331402i \(-0.989449\pi\)
0.351856 0.936054i \(-0.385551\pi\)
\(228\) −5.61043 1.33783i −0.371560 0.0885997i
\(229\) −1.26054 6.33717i −0.0832990 0.418772i −0.999823 0.0187935i \(-0.994017\pi\)
0.916524 0.399979i \(-0.130983\pi\)
\(230\) −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 0.0644427 0.997921i \(-0.479473\pi\)
−0.660069 + 0.751205i \(0.729473\pi\)
\(234\) 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 0.973251 + 0.229746i \(0.0737895\pi\)
0.229746 + 0.973251i \(0.426211\pi\)
\(240\) −4.00646 2.02590i −0.258616 0.130771i
\(241\) 4.77013 4.77013i 0.307271 0.307271i −0.536579 0.843850i \(-0.680284\pi\)
0.843850 + 0.536579i \(0.180284\pi\)
\(242\) −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 0.0977249 0.995213i \(-0.468843\pi\)
0.471138 + 0.882060i \(0.343843\pi\)
\(252\) 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 0.939911 + 0.341421i \(0.110908\pi\)
−0.423196 + 0.906038i \(0.639092\pi\)
\(264\) 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 −0.288002 0.957630i \(-0.592991\pi\)
−0.632549 + 0.774521i \(0.717991\pi\)
\(270\) −1.02994 + 1.20778i −0.0626799 + 0.0735030i
\(271\) −4.11471 + 4.11471i −0.249951 + 0.249951i −0.820950 0.571000i \(-0.806556\pi\)
0.571000 + 0.820950i \(0.306556\pi\)
\(272\) 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 0.261730 0.965141i \(-0.415707\pi\)
−0.791514 + 0.611150i \(0.790707\pi\)
\(278\) 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 −0.215528 0.976498i \(-0.569147\pi\)
0.538087 + 0.842889i \(0.319147\pi\)
\(282\) 1.79291 + 6.33852i 0.106766 + 0.377454i
\(283\) −3.84399 19.3250i −0.228501 1.14875i −0.909254 0.416241i \(-0.863347\pi\)
0.680753 0.732513i \(-0.261653\pi\)
\(284\) 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 0.861243 + 0.508194i \(0.169687\pi\)
−0.601207 + 0.799093i \(0.705313\pi\)
\(294\) −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 −0.480628 0.876924i \(-0.659591\pi\)
−0.779627 + 0.626244i \(0.784591\pi\)
\(308\) 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 −0.971958 0.235153i \(-0.924441\pi\)
0.853557 + 0.521000i \(0.174441\pi\)
\(312\) −7.73125 + 1.87498i −0.437696 + 0.106150i
\(313\) −3.53449 8.53301i −0.199781 0.482314i 0.791960 0.610574i \(-0.209061\pi\)
−0.991741 + 0.128259i \(0.959061\pi\)
\(314\) 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 −0.564877 0.825175i \(-0.691076\pi\)
0.546193 + 0.837659i \(0.316076\pi\)
\(318\) 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 0.351936 + 0.936024i \(0.385523\pi\)
−0.999454 + 0.0330542i \(0.989477\pi\)
\(332\) −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 0.994735 0.102480i \(-0.0326778\pi\)
−0.102480 + 0.994735i \(0.532678\pi\)
\(338\) 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 −0.878002 0.478657i \(-0.841124\pi\)
0.627994 0.778218i \(-0.283876\pi\)
\(348\) −4.68460 + 2.88064i −0.251121 + 0.154419i
\(349\) 12.5737 + 18.8179i 0.673057 + 1.00730i 0.998101 + 0.0616020i \(0.0196210\pi\)
−0.325044 + 0.945699i \(0.605379\pi\)
\(350\) 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 \(0.181087\pi\)
−0.842493 + 0.538707i \(0.818913\pi\)
\(354\) −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 −0.679649 0.733537i \(-0.737868\pi\)
0.0381047 + 0.999274i \(0.487868\pi\)
\(360\) 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 0.948143 0.317845i \(-0.102959\pi\)
−0.317845 + 0.948143i \(0.602959\pi\)
\(368\) 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 −0.280330 + 0.959904i \(0.590444\pi\)
−0.779558 + 0.626330i \(0.784556\pi\)
\(374\) −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 −0.490596 0.871387i \(-0.663221\pi\)
−0.119786 + 0.992800i \(0.538221\pi\)
\(380\) −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 0.296770 0.954949i \(-0.404091\pi\)
0.639623 + 0.768689i \(0.279091\pi\)
\(390\) 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 0.129281 0.991608i \(-0.458733\pi\)
−0.260032 + 0.965600i \(0.583733\pi\)
\(398\) −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 0.723457 0.690370i \(-0.242552\pi\)
−0.690370 + 0.723457i \(0.742552\pi\)
\(402\) 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 −0.793928 0.608012i \(-0.791967\pi\)
−0.131463 + 0.991321i \(0.541967\pi\)
\(410\) −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 0.909632 0.415416i \(-0.136364\pi\)
−0.731895 + 0.681417i \(0.761364\pi\)
\(420\) 4.49418 2.76355i 0.219294 0.134847i
\(421\) −2.59589 13.0504i −0.126516 0.636039i −0.991053 0.133470i \(-0.957388\pi\)
0.864537 0.502569i \(-0.167612\pi\)
\(422\) 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 0.225215 0.974309i \(-0.427692\pi\)
−0.974309 + 0.225215i \(0.927692\pi\)
\(432\) −3.48396 + 1.96521i −0.167622 + 0.0945510i
\(433\) −27.0589 + 27.0589i −1.30037 + 1.30037i −0.372222 + 0.928144i \(0.621404\pi\)
−0.928144 + 0.372222i \(0.878596\pi\)
\(434\) 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 −0.633708 0.773572i \(-0.718468\pi\)
0.995098 0.0988987i \(-0.0315320\pi\)
\(440\) 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 −0.442354 0.896841i \(-0.645856\pi\)
−0.0654755 + 0.997854i \(0.520856\pi\)
\(444\) −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 0.147988 + 0.988989i \(0.452720\pi\)
−0.803964 + 0.594678i \(0.797280\pi\)
\(458\) −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 0.758389 0.651802i \(-0.225987\pi\)
0.451227 + 0.892409i \(0.350987\pi\)
\(462\) 12.9970 + 11.0832i 0.604674 + 0.515637i
\(463\) −6.92681 + 6.92681i −0.321916 + 0.321916i −0.849502 0.527586i \(-0.823097\pi\)
0.527586 + 0.849502i \(0.323097\pi\)
\(464\) 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 −0.939446 0.342696i \(-0.888660\pi\)
0.999079 + 0.0429004i \(0.0136598\pi\)
\(468\) −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 \(-0.937330\pi\)
0.980681 0.195615i \(-0.0626703\pi\)
\(480\) 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 −0.185604 0.982625i \(-0.559424\pi\)
0.563578 + 0.826063i \(0.309424\pi\)
\(488\) −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 0.274586 0.961563i \(-0.411459\pi\)
−0.783289 + 0.621658i \(0.786459\pi\)
\(492\) −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 0.0306693 0.999530i \(-0.490236\pi\)
−0.354169 + 0.935182i \(0.615236\pi\)
\(500\) 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 −0.918257 0.395986i \(-0.870403\pi\)
0.929310 + 0.369301i \(0.120403\pi\)
\(504\) −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 −0.836004 0.548723i \(-0.815114\pi\)
0.187029 + 0.982354i \(0.440114\pi\)
\(510\) −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 −0.174093 0.984729i \(-0.555699\pi\)
0.819411 0.573206i \(-0.194301\pi\)
\(522\) −2.40980 3.05199i −0.105474 0.133582i
\(523\) −13.0998 + 19.6052i −0.572812 + 0.857274i −0.998875 0.0474196i \(-0.984900\pi\)
0.426063 + 0.904694i \(0.359900\pi\)
\(524\) 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 0.994527 + 0.104477i \(0.0333169\pi\)
−0.284065 + 0.958805i \(0.591683\pi\)
\(542\) 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 0.828789 0.559562i \(-0.189030\pi\)
−0.834131 + 0.551566i \(0.814030\pi\)
\(548\) −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 −0.709844 0.704359i \(-0.751235\pi\)
0.925357 0.379097i \(-0.123765\pi\)
\(558\) 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 0.0676147 0.997712i \(-0.478461\pi\)
−0.319340 + 0.947640i \(0.603461\pi\)
\(564\) 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 0.803832 0.594856i \(-0.202791\pi\)
−0.989022 + 0.147768i \(0.952791\pi\)
\(570\) 2.23361 3.99560i 0.0935556 0.167357i
\(571\) 16.7687 3.33550i 0.701748 0.139586i 0.168695 0.985668i \(-0.446045\pi\)
0.533053 + 0.846082i \(0.321045\pi\)
\(572\) −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 −0.528436 0.848973i \(-0.677221\pi\)
0.986573 + 0.163324i \(0.0522215\pi\)
\(588\) 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 −0.981276 0.192604i \(-0.938307\pi\)
−0.192604 0.981276i \(-0.561693\pi\)
\(594\) 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 0.872457 0.488690i \(-0.162525\pi\)
0.271365 + 0.962477i \(0.412525\pi\)
\(600\) −7.16312 + 7.78496i −0.292433 + 0.317820i
\(601\) 7.39208 3.06190i 0.301529 0.124897i −0.226789 0.973944i \(-0.572823\pi\)
0.528318 + 0.849046i \(0.322823\pi\)
\(602\) −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 \(-0.706564\pi\)
0.604341 0.796726i \(-0.293436\pi\)
\(608\) −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 0.997053 0.0767108i \(-0.0244418\pi\)
−0.950513 + 0.310684i \(0.899442\pi\)
\(614\) 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 0.581055 0.813864i \(-0.302640\pi\)
−0.164621 + 0.986357i \(0.552640\pi\)
\(618\) 17.2490 + 2.02811i 0.693856 + 0.0815825i
\(619\) 7.87296 + 5.26054i 0.316441 + 0.211439i 0.703639 0.710557i \(-0.251557\pi\)
−0.387198 + 0.921996i \(0.626557\pi\)
\(620\) 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 0.530623 + 0.847608i \(0.321958\pi\)
−0.974556 + 0.224143i \(0.928042\pi\)
\(632\) −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 −0.150052 0.988678i \(-0.547944\pi\)
0.855997 + 0.516981i \(0.172944\pi\)
\(644\) 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 0.757937 0.652327i \(-0.226207\pi\)
−0.997208 + 0.0746777i \(0.976207\pi\)
\(648\) −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 0.285639 0.958337i \(-0.407794\pi\)
−0.102844 + 0.994698i \(0.532794\pi\)
\(654\) −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 0.746858 + 0.664984i \(0.231562\pi\)
−0.944485 + 0.328555i \(0.893438\pi\)
\(660\) 10.4835 + 4.81344i 0.408070 + 0.187363i
\(661\) −18.4874 12.3529i −0.719077 0.480472i 0.141406 0.989952i \(-0.454838\pi\)
−0.860483 + 0.509480i \(0.829838\pi\)
\(662\) 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 \(0.100758\pi\)
−0.950318 + 0.311282i \(0.899242\pi\)
\(674\) 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 −0.961866 0.273521i \(-0.911812\pi\)
0.783976 0.620791i \(-0.213188\pi\)
\(678\) −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 0.737853 0.674961i \(-0.235840\pi\)
−0.341219 + 0.939984i \(0.610840\pi\)
\(684\) −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 0.501576 0.865114i \(-0.332754\pi\)
0.132331 + 0.991206i \(0.457754\pi\)
\(692\) 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 0.373662 0.927565i \(-0.378102\pi\)
0.999953 + 0.00974462i \(0.00310186\pi\)
\(702\) 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 −0.884559 0.466429i \(-0.845540\pi\)
−0.638731 + 0.769430i \(0.720540\pi\)
\(710\) −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 −0.809026 0.587772i \(-0.800005\pi\)
0.587772 + 0.809026i \(0.300005\pi\)
\(720\) −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 0.105010 0.994471i \(-0.466513\pi\)
−0.628944 + 0.777451i \(0.716513\pi\)
\(728\) 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 0.747406 + 0.664368i \(0.231299\pi\)
0.327776 + 0.944755i \(0.393701\pi\)
\(734\) 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 0.999392 0.0348648i \(-0.0111001\pi\)
−0.414662 + 0.909976i \(0.636100\pi\)
\(740\) −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 −0.0631313 0.998005i \(-0.520109\pi\)
0.661056 + 0.750337i \(0.270109\pi\)
\(744\) −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 0.862065 0.506797i \(-0.169171\pi\)
−0.506797 + 0.862065i \(0.669171\pi\)
\(752\) −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 −0.176931 0.984223i \(-0.556617\pi\)
0.977012 0.213183i \(-0.0683831\pi\)
\(758\) 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 −0.933257 0.359210i \(-0.883046\pi\)
0.405913 0.913912i \(-0.366954\pi\)
\(762\) −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 −0.178063 0.984019i \(-0.556983\pi\)
0.212059 + 0.977257i \(0.431983\pi\)