Properties

Label 462.2.bc.b.95.10
Level $462$
Weight $2$
Character 462.95
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.10
Character \(\chi\) \(=\) 462.95
Dual form 462.2.bc.b.107.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 + 0.994522i) q^{2} +(0.713675 - 1.57818i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-1.25353 + 2.81547i) q^{5} +(1.49494 + 0.874731i) q^{6} +(1.28350 + 2.31358i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.98134 - 2.25262i) q^{9} +O(q^{10})\) \(q+(-0.104528 + 0.994522i) q^{2} +(0.713675 - 1.57818i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-1.25353 + 2.81547i) q^{5} +(1.49494 + 0.874731i) q^{6} +(1.28350 + 2.31358i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.98134 - 2.25262i) q^{9} +(-2.66902 - 1.54096i) q^{10} +(-3.25565 + 0.633032i) q^{11} +(-1.02620 + 1.39532i) q^{12} +(-1.85644 + 2.55517i) q^{13} +(-2.43506 + 1.03463i) q^{14} +(3.54872 + 3.98763i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.684127 + 6.50903i) q^{17} +(2.44739 - 1.73502i) q^{18} +(-0.878223 - 4.13171i) q^{19} +(1.81151 - 2.49332i) q^{20} +(4.56725 - 0.374454i) q^{21} +(-0.289256 - 3.30399i) q^{22} +(-0.815547 + 0.470856i) q^{23} +(-1.28041 - 1.16643i) q^{24} +(-3.00989 - 3.34282i) q^{25} +(-2.34712 - 2.11336i) q^{26} +(-4.96909 + 1.51927i) q^{27} +(-0.774430 - 2.52987i) q^{28} +(2.13594 + 6.57373i) q^{29} +(-4.33673 + 3.11246i) q^{30} +(6.76396 - 3.01151i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-1.32444 + 5.58980i) q^{33} -6.54489 q^{34} +(-8.12271 + 0.713516i) q^{35} +(1.46969 + 2.61534i) q^{36} +(-0.820875 + 0.911674i) q^{37} +(4.20088 - 0.441530i) q^{38} +(2.70763 + 4.75337i) q^{39} +(2.29031 + 2.06220i) q^{40} +(-0.788646 + 2.42720i) q^{41} +(-0.105005 + 4.58137i) q^{42} +1.24741i q^{43} +(3.31612 + 0.0576896i) q^{44} +(8.82586 - 2.75466i) q^{45} +(-0.383029 - 0.860297i) q^{46} +(2.14061 + 10.0708i) q^{47} +(1.29388 - 1.15147i) q^{48} +(-3.70527 + 5.93894i) q^{49} +(3.63913 - 2.64398i) q^{50} +(10.7607 + 3.56566i) q^{51} +(2.34712 - 2.11336i) q^{52} +(-2.44967 - 5.50204i) q^{53} +(-0.991538 - 5.10067i) q^{54} +(2.29877 - 9.95972i) q^{55} +(2.59696 - 0.505744i) q^{56} +(-7.14738 - 1.56270i) q^{57} +(-6.76099 + 1.43709i) q^{58} +(2.34885 - 11.0505i) q^{59} +(-2.64210 - 4.63831i) q^{60} +(3.62706 - 8.14652i) q^{61} +(2.28798 + 7.04169i) q^{62} +(2.66858 - 7.47521i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-4.86691 - 8.42973i) q^{65} +(-5.42074 - 1.90147i) q^{66} +(-3.14450 + 5.44644i) q^{67} +(0.684127 - 6.50903i) q^{68} +(0.161062 + 1.62312i) q^{69} +(0.139447 - 8.15279i) q^{70} +(-6.06001 - 8.34089i) q^{71} +(-2.75464 + 1.18826i) q^{72} +(-0.0996603 + 0.468865i) q^{73} +(-0.820875 - 0.911674i) q^{74} +(-7.42368 + 2.36447i) q^{75} +4.22402i q^{76} +(-5.64319 - 6.71970i) q^{77} +(-5.01035 + 2.19594i) q^{78} +(16.5959 + 1.74430i) q^{79} +(-2.29031 + 2.06220i) q^{80} +(-1.14862 + 8.92640i) q^{81} +(-2.33147 - 1.03804i) q^{82} +(9.93212 - 7.21611i) q^{83} +(-4.54530 - 0.583314i) q^{84} +(-19.1836 - 6.23312i) q^{85} +(-1.24057 - 0.130390i) q^{86} +(11.8989 + 1.32061i) q^{87} +(-0.404003 + 3.29193i) q^{88} +(5.63638 - 3.25417i) q^{89} +(1.81702 + 9.06545i) q^{90} +(-8.29431 - 1.01546i) q^{91} +(0.895621 - 0.291005i) q^{92} +(0.0745528 - 12.8240i) q^{93} +(-10.2394 + 1.07620i) q^{94} +(12.7336 + 2.70661i) q^{95} +(1.00991 + 1.40715i) q^{96} +(7.13209 + 5.18176i) q^{97} +(-5.51910 - 4.30576i) q^{98} +(7.87652 + 6.07951i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 16q^{2} + 16q^{4} - 32q^{8} + 16q^{9} + O(q^{10}) \) \( 128q + 16q^{2} + 16q^{4} - 32q^{8} + 16q^{9} - 6q^{11} - 12q^{15} + 16q^{16} - 2q^{17} - 4q^{18} + 2q^{22} - 12q^{25} - 18q^{27} - 5q^{28} + 38q^{29} + 6q^{30} - 3q^{31} - 64q^{32} + 28q^{33} - 16q^{34} - 31q^{35} + 8q^{36} + 2q^{37} - 2q^{39} + 5q^{40} + 16q^{41} - 13q^{42} - q^{44} + 28q^{45} + 38q^{49} + 34q^{50} + 4q^{51} + 25q^{53} - 6q^{54} - 42q^{55} - 100q^{57} - 19q^{58} + 40q^{59} - 4q^{60} + 40q^{61} - 4q^{62} - 106q^{63} - 32q^{64} + 20q^{65} - 7q^{66} + 16q^{67} - 2q^{68} - 68q^{69} - 21q^{70} + 80q^{71} - 4q^{72} + 10q^{73} + 2q^{74} - 14q^{75} + q^{77} - 16q^{78} - 5q^{80} + 32q^{81} - 8q^{82} - 92q^{83} + 8q^{84} - 100q^{85} - 40q^{86} - 38q^{87} - q^{88} + 4q^{90} + 12q^{91} - 20q^{92} - 33q^{93} + 40q^{94} + 38q^{95} - 16q^{97} + 18q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 + 0.994522i −0.0739128 + 0.703233i
\(3\) 0.713675 1.57818i 0.412041 0.911165i
\(4\) −0.978148 0.207912i −0.489074 0.103956i
\(5\) −1.25353 + 2.81547i −0.560595 + 1.25912i 0.381685 + 0.924292i \(0.375344\pi\)
−0.942280 + 0.334825i \(0.891323\pi\)
\(6\) 1.49494 + 0.874731i 0.610307 + 0.357107i
\(7\) 1.28350 + 2.31358i 0.485116 + 0.874450i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) −1.98134 2.25262i −0.660445 0.750874i
\(10\) −2.66902 1.54096i −0.844018 0.487294i
\(11\) −3.25565 + 0.633032i −0.981616 + 0.190866i
\(12\) −1.02620 + 1.39532i −0.296239 + 0.402793i
\(13\) −1.85644 + 2.55517i −0.514884 + 0.708676i −0.984733 0.174070i \(-0.944308\pi\)
0.469850 + 0.882746i \(0.344308\pi\)
\(14\) −2.43506 + 1.03463i −0.650798 + 0.276517i
\(15\) 3.54872 + 3.98763i 0.916276 + 1.02960i
\(16\) 0.913545 + 0.406737i 0.228386 + 0.101684i
\(17\) 0.684127 + 6.50903i 0.165925 + 1.57867i 0.687960 + 0.725748i \(0.258506\pi\)
−0.522035 + 0.852924i \(0.674827\pi\)
\(18\) 2.44739 1.73502i 0.576855 0.408948i
\(19\) −0.878223 4.13171i −0.201478 0.947880i −0.956399 0.292064i \(-0.905658\pi\)
0.754921 0.655816i \(-0.227675\pi\)
\(20\) 1.81151 2.49332i 0.405065 0.557524i
\(21\) 4.56725 0.374454i 0.996656 0.0817126i
\(22\) −0.289256 3.30399i −0.0616695 0.704412i
\(23\) −0.815547 + 0.470856i −0.170053 + 0.0981803i −0.582611 0.812751i \(-0.697969\pi\)
0.412558 + 0.910931i \(0.364636\pi\)
\(24\) −1.28041 1.16643i −0.261362 0.238097i
\(25\) −3.00989 3.34282i −0.601978 0.668564i
\(26\) −2.34712 2.11336i −0.460308 0.414463i
\(27\) −4.96909 + 1.51927i −0.956301 + 0.292384i
\(28\) −0.774430 2.52987i −0.146354 0.478101i
\(29\) 2.13594 + 6.57373i 0.396633 + 1.22071i 0.927682 + 0.373370i \(0.121798\pi\)
−0.531049 + 0.847341i \(0.678202\pi\)
\(30\) −4.33673 + 3.11246i −0.791775 + 0.568255i
\(31\) 6.76396 3.01151i 1.21484 0.540883i 0.303618 0.952794i \(-0.401805\pi\)
0.911224 + 0.411911i \(0.135139\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −1.32444 + 5.58980i −0.230555 + 0.973059i
\(34\) −6.54489 −1.12244
\(35\) −8.12271 + 0.713516i −1.37299 + 0.120606i
\(36\) 1.46969 + 2.61534i 0.244949 + 0.435890i
\(37\) −0.820875 + 0.911674i −0.134951 + 0.149878i −0.806832 0.590781i \(-0.798820\pi\)
0.671881 + 0.740659i \(0.265487\pi\)
\(38\) 4.20088 0.441530i 0.681473 0.0716257i
\(39\) 2.70763 + 4.75337i 0.433569 + 0.761148i
\(40\) 2.29031 + 2.06220i 0.362130 + 0.326063i
\(41\) −0.788646 + 2.42720i −0.123166 + 0.379065i −0.993562 0.113286i \(-0.963862\pi\)
0.870397 + 0.492351i \(0.163862\pi\)
\(42\) −0.105005 + 4.58137i −0.0162026 + 0.706921i
\(43\) 1.24741i 0.190228i 0.995466 + 0.0951139i \(0.0303215\pi\)
−0.995466 + 0.0951139i \(0.969678\pi\)
\(44\) 3.31612 + 0.0576896i 0.499924 + 0.00869703i
\(45\) 8.82586 2.75466i 1.31568 0.410641i
\(46\) −0.383029 0.860297i −0.0564745 0.126844i
\(47\) 2.14061 + 10.0708i 0.312240 + 1.46898i 0.802108 + 0.597179i \(0.203712\pi\)
−0.489868 + 0.871797i \(0.662955\pi\)
\(48\) 1.29388 1.15147i 0.186756 0.166200i
\(49\) −3.70527 + 5.93894i −0.529324 + 0.848420i
\(50\) 3.63913 2.64398i 0.514651 0.373916i
\(51\) 10.7607 + 3.56566i 1.50680 + 0.499292i
\(52\) 2.34712 2.11336i 0.325487 0.293070i
\(53\) −2.44967 5.50204i −0.336487 0.755763i −0.999971 0.00757264i \(-0.997590\pi\)
0.663484 0.748191i \(-0.269077\pi\)
\(54\) −0.991538 5.10067i −0.134931 0.694113i
\(55\) 2.29877 9.95972i 0.309966 1.34297i
\(56\) 2.59696 0.505744i 0.347034 0.0675829i
\(57\) −7.14738 1.56270i −0.946693 0.206985i
\(58\) −6.76099 + 1.43709i −0.887761 + 0.188699i
\(59\) 2.34885 11.0505i 0.305795 1.43865i −0.509932 0.860215i \(-0.670330\pi\)
0.815727 0.578437i \(-0.196337\pi\)
\(60\) −2.64210 4.63831i −0.341093 0.598804i
\(61\) 3.62706 8.14652i 0.464398 1.04306i −0.517851 0.855471i \(-0.673268\pi\)
0.982249 0.187584i \(-0.0600657\pi\)
\(62\) 2.28798 + 7.04169i 0.290574 + 0.894295i
\(63\) 2.66858 7.47521i 0.336209 0.941787i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −4.86691 8.42973i −0.603665 1.04558i
\(66\) −5.42074 1.90147i −0.667247 0.234055i
\(67\) −3.14450 + 5.44644i −0.384162 + 0.665388i −0.991653 0.128939i \(-0.958843\pi\)
0.607491 + 0.794327i \(0.292176\pi\)
\(68\) 0.684127 6.50903i 0.0829626 0.789336i
\(69\) 0.161062 + 1.62312i 0.0193896 + 0.195401i
\(70\) 0.139447 8.15279i 0.0166671 0.974445i
\(71\) −6.06001 8.34089i −0.719191 0.989881i −0.999550 0.0299863i \(-0.990454\pi\)
0.280359 0.959895i \(-0.409546\pi\)
\(72\) −2.75464 + 1.18826i −0.324637 + 0.140038i
\(73\) −0.0996603 + 0.468865i −0.0116644 + 0.0548765i −0.983595 0.180392i \(-0.942263\pi\)
0.971931 + 0.235268i \(0.0755968\pi\)
\(74\) −0.820875 0.911674i −0.0954248 0.105980i
\(75\) −7.42368 + 2.36447i −0.857212 + 0.273026i
\(76\) 4.22402i 0.484528i
\(77\) −5.64319 6.71970i −0.643101 0.765781i
\(78\) −5.01035 + 2.19594i −0.567311 + 0.248641i
\(79\) 16.5959 + 1.74430i 1.86719 + 0.196249i 0.969618 0.244624i \(-0.0786647\pi\)
0.897569 + 0.440874i \(0.145331\pi\)
\(80\) −2.29031 + 2.06220i −0.256065 + 0.230562i
\(81\) −1.14862 + 8.92640i −0.127625 + 0.991823i
\(82\) −2.33147 1.03804i −0.257468 0.114632i
\(83\) 9.93212 7.21611i 1.09019 0.792071i 0.110760 0.993847i \(-0.464671\pi\)
0.979432 + 0.201777i \(0.0646715\pi\)
\(84\) −4.54530 0.583314i −0.495933 0.0636447i
\(85\) −19.1836 6.23312i −2.08075 0.676077i
\(86\) −1.24057 0.130390i −0.133775 0.0140603i
\(87\) 11.8989 + 1.32061i 1.27570 + 0.141584i
\(88\) −0.404003 + 3.29193i −0.0430668 + 0.350921i
\(89\) 5.63638 3.25417i 0.597455 0.344941i −0.170585 0.985343i \(-0.554566\pi\)
0.768040 + 0.640402i \(0.221232\pi\)
\(90\) 1.81702 + 9.06545i 0.191531 + 0.955582i
\(91\) −8.29431 1.01546i −0.869480 0.106449i
\(92\) 0.895621 0.291005i 0.0933750 0.0303394i
\(93\) 0.0745528 12.8240i 0.00773077 1.32979i
\(94\) −10.2394 + 1.07620i −1.05611 + 0.111002i
\(95\) 12.7336 + 2.70661i 1.30644 + 0.277692i
\(96\) 1.00991 + 1.40715i 0.103074 + 0.143617i
\(97\) 7.13209 + 5.18176i 0.724154 + 0.526128i 0.887709 0.460406i \(-0.152296\pi\)
−0.163555 + 0.986534i \(0.552296\pi\)
\(98\) −5.51910 4.30576i −0.557513 0.434947i
\(99\) 7.87652 + 6.07951i 0.791620 + 0.611014i
\(100\) 2.24911 + 3.89557i 0.224911 + 0.389557i
\(101\) 9.79140 4.35941i 0.974281 0.433778i 0.143056 0.989715i \(-0.454307\pi\)
0.831225 + 0.555937i \(0.187640\pi\)
\(102\) −4.67092 + 10.3290i −0.462490 + 1.02273i
\(103\) 0.440469 0.489190i 0.0434007 0.0482014i −0.721054 0.692879i \(-0.756342\pi\)
0.764454 + 0.644678i \(0.223009\pi\)
\(104\) 1.85644 + 2.55517i 0.182039 + 0.250555i
\(105\) −4.67092 + 13.3284i −0.455835 + 1.30071i
\(106\) 5.72796 1.86113i 0.556349 0.180769i
\(107\) −6.46092 + 1.37331i −0.624600 + 0.132763i −0.509330 0.860571i \(-0.670107\pi\)
−0.115270 + 0.993334i \(0.536773\pi\)
\(108\) 5.17637 0.452941i 0.498097 0.0435843i
\(109\) −7.42308 4.28572i −0.711003 0.410498i 0.100430 0.994944i \(-0.467978\pi\)
−0.811432 + 0.584447i \(0.801312\pi\)
\(110\) 9.66487 + 3.32725i 0.921509 + 0.317241i
\(111\) 0.852952 + 1.94613i 0.0809586 + 0.184719i
\(112\) 0.231517 + 2.63560i 0.0218763 + 0.249041i
\(113\) −6.35140 2.06370i −0.597490 0.194136i −0.00536916 0.999986i \(-0.501709\pi\)
−0.592121 + 0.805849i \(0.701709\pi\)
\(114\) 2.30125 6.94487i 0.215532 0.650447i
\(115\) −0.303371 2.88638i −0.0282895 0.269156i
\(116\) −0.722504 6.87417i −0.0670828 0.638250i
\(117\) 9.43406 0.880789i 0.872179 0.0814290i
\(118\) 10.7444 + 3.49108i 0.989105 + 0.321380i
\(119\) −14.1811 + 9.93711i −1.29998 + 0.910933i
\(120\) 4.88908 2.14279i 0.446310 0.195609i
\(121\) 10.1985 4.12186i 0.927140 0.374715i
\(122\) 7.72276 + 4.45874i 0.699186 + 0.403675i
\(123\) 3.26774 + 2.97686i 0.294642 + 0.268415i
\(124\) −7.24227 + 1.53939i −0.650375 + 0.138242i
\(125\) −1.47078 + 0.477886i −0.131551 + 0.0427434i
\(126\) 7.15531 + 3.43533i 0.637446 + 0.306043i
\(127\) −1.28837 1.77329i −0.114324 0.157354i 0.748020 0.663676i \(-0.231005\pi\)
−0.862344 + 0.506322i \(0.831005\pi\)
\(128\) 0.669131 0.743145i 0.0591433 0.0656853i
\(129\) 1.96864 + 0.890244i 0.173329 + 0.0783816i
\(130\) 8.89228 3.95910i 0.779905 0.347236i
\(131\) 5.63954 + 9.76796i 0.492729 + 0.853431i 0.999965 0.00837614i \(-0.00266624\pi\)
−0.507236 + 0.861807i \(0.669333\pi\)
\(132\) 2.45768 5.19228i 0.213914 0.451930i
\(133\) 8.43184 7.33488i 0.731133 0.636015i
\(134\) −5.08791 3.69658i −0.439529 0.319336i
\(135\) 1.95142 15.8948i 0.167952 1.36800i
\(136\) 6.40187 + 1.36076i 0.548955 + 0.116684i
\(137\) −13.8537 + 1.45608i −1.18360 + 0.124402i −0.675808 0.737077i \(-0.736205\pi\)
−0.507793 + 0.861479i \(0.669539\pi\)
\(138\) −1.63107 0.00948225i −0.138846 0.000807183i
\(139\) 15.1592 4.92553i 1.28579 0.417778i 0.415172 0.909743i \(-0.363721\pi\)
0.870615 + 0.491965i \(0.163721\pi\)
\(140\) 8.09355 + 0.990882i 0.684030 + 0.0837448i
\(141\) 17.4213 + 3.80899i 1.46714 + 0.320775i
\(142\) 8.92864 5.15495i 0.749275 0.432594i
\(143\) 4.42642 9.49393i 0.370156 0.793922i
\(144\) −0.893815 2.86376i −0.0744846 0.238646i
\(145\) −21.1856 2.22670i −1.75937 0.184917i
\(146\) −0.455879 0.148124i −0.0377288 0.0122588i
\(147\) 6.72838 + 10.0861i 0.554948 + 0.831885i
\(148\) 0.992484 0.721082i 0.0815817 0.0592726i
\(149\) −8.47818 3.77473i −0.694560 0.309238i 0.0289218 0.999582i \(-0.490793\pi\)
−0.723481 + 0.690344i \(0.757459\pi\)
\(150\) −1.57554 7.63016i −0.128642 0.623000i
\(151\) −9.98655 + 8.99193i −0.812694 + 0.731753i −0.966588 0.256334i \(-0.917485\pi\)
0.153894 + 0.988087i \(0.450818\pi\)
\(152\) −4.20088 0.441530i −0.340736 0.0358128i
\(153\) 13.3069 14.4377i 1.07580 1.16722i
\(154\) 7.27277 4.90987i 0.586056 0.395649i
\(155\) 22.8187i 1.83284i
\(156\) −1.66019 5.21244i −0.132921 0.417329i
\(157\) 5.24970 + 5.83038i 0.418971 + 0.465315i 0.915272 0.402836i \(-0.131975\pi\)
−0.496301 + 0.868151i \(0.665309\pi\)
\(158\) −3.46949 + 16.3227i −0.276018 + 1.29856i
\(159\) −10.4315 0.0606439i −0.827272 0.00480937i
\(160\) −1.81151 2.49332i −0.143212 0.197114i
\(161\) −2.13611 1.28249i −0.168349 0.101074i
\(162\) −8.75744 2.07539i −0.688049 0.163058i
\(163\) −1.58467 + 15.0772i −0.124121 + 1.18094i 0.738203 + 0.674579i \(0.235675\pi\)
−0.862324 + 0.506356i \(0.830992\pi\)
\(164\) 1.27606 2.21019i 0.0996432 0.172587i
\(165\) −14.0777 10.7359i −1.09595 0.835788i
\(166\) 6.13839 + 10.6320i 0.476431 + 0.825203i
\(167\) 6.50759 + 4.72804i 0.503572 + 0.365867i 0.810380 0.585905i \(-0.199261\pi\)
−0.306807 + 0.951772i \(0.599261\pi\)
\(168\) 1.05523 4.45943i 0.0814129 0.344052i
\(169\) 0.934697 + 2.87670i 0.0718998 + 0.221285i
\(170\) 8.20420 18.4269i 0.629234 1.41328i
\(171\) −7.56714 + 10.1646i −0.578674 + 0.777308i
\(172\) 0.259351 1.22015i 0.0197753 0.0930355i
\(173\) 13.5630 2.88292i 1.03118 0.219184i 0.338907 0.940820i \(-0.389943\pi\)
0.692273 + 0.721636i \(0.256610\pi\)
\(174\) −2.55715 + 11.6957i −0.193857 + 0.886649i
\(175\) 3.87069 11.2541i 0.292596 0.850731i
\(176\) −3.23166 0.745890i −0.243596 0.0562235i
\(177\) −15.7634 11.5934i −1.18485 0.871412i
\(178\) 2.64718 + 5.94566i 0.198414 + 0.445646i
\(179\) −0.0930807 + 0.0838102i −0.00695718 + 0.00626427i −0.672602 0.740005i \(-0.734823\pi\)
0.665645 + 0.746269i \(0.268157\pi\)
\(180\) −9.20572 + 0.859470i −0.686154 + 0.0640611i
\(181\) −9.06514 + 6.58621i −0.673806 + 0.489549i −0.871297 0.490756i \(-0.836721\pi\)
0.197491 + 0.980305i \(0.436721\pi\)
\(182\) 1.87689 8.14273i 0.139124 0.603579i
\(183\) −10.2682 11.5381i −0.759045 0.852925i
\(184\) 0.195793 + 0.921133i 0.0144340 + 0.0679069i
\(185\) −1.53780 3.45396i −0.113061 0.253940i
\(186\) 12.7460 + 1.41462i 0.934580 + 0.103725i
\(187\) −6.34771 20.7581i −0.464190 1.51798i
\(188\) 10.2958i 0.750897i
\(189\) −9.89276 9.54638i −0.719592 0.694397i
\(190\) −4.02281 + 12.3809i −0.291845 + 0.898207i
\(191\) 11.9706 + 10.7784i 0.866160 + 0.779894i 0.976842 0.213962i \(-0.0686368\pi\)
−0.110682 + 0.993856i \(0.535303\pi\)
\(192\) −1.50501 + 0.857291i −0.108615 + 0.0618696i
\(193\) 5.35261 0.562582i 0.385289 0.0404955i 0.0900958 0.995933i \(-0.471283\pi\)
0.295193 + 0.955438i \(0.404616\pi\)
\(194\) −5.89888 + 6.55137i −0.423515 + 0.470361i
\(195\) −16.7771 + 1.66479i −1.20143 + 0.119218i
\(196\) 4.85907 5.03879i 0.347077 0.359913i
\(197\) 21.1572 1.50739 0.753694 0.657226i \(-0.228270\pi\)
0.753694 + 0.657226i \(0.228270\pi\)
\(198\) −6.86953 + 7.19789i −0.488196 + 0.511532i
\(199\) −9.58513 + 16.6019i −0.679472 + 1.17688i 0.295668 + 0.955291i \(0.404458\pi\)
−0.975140 + 0.221589i \(0.928876\pi\)
\(200\) −4.10932 + 1.82959i −0.290573 + 0.129371i
\(201\) 6.35133 + 8.84959i 0.447988 + 0.624202i
\(202\) 3.31205 + 10.1934i 0.233035 + 0.717209i
\(203\) −12.4674 + 13.3790i −0.875037 + 0.939023i
\(204\) −9.78421 5.72502i −0.685032 0.400831i
\(205\) −5.84513 5.26298i −0.408241 0.367582i
\(206\) 0.440469 + 0.489190i 0.0306889 + 0.0340835i
\(207\) 2.67653 + 0.904195i 0.186032 + 0.0628459i
\(208\) −2.73522 + 1.57918i −0.189654 + 0.109497i
\(209\) 5.47470 + 12.8955i 0.378693 + 0.891999i
\(210\) −12.7671 6.03852i −0.881013 0.416697i
\(211\) −7.30474 + 10.0541i −0.502879 + 0.692154i −0.982698 0.185213i \(-0.940702\pi\)
0.479819 + 0.877368i \(0.340702\pi\)
\(212\) 1.25220 + 5.89112i 0.0860012 + 0.404604i
\(213\) −17.4883 + 3.61113i −1.19828 + 0.247431i
\(214\) −0.690437 6.56907i −0.0471973 0.449053i
\(215\) −3.51204 1.56366i −0.239519 0.106641i
\(216\) −0.0906184 + 5.19536i −0.00616580 + 0.353500i
\(217\) 15.6489 + 11.7837i 1.06231 + 0.799927i
\(218\) 5.03817 6.93444i 0.341228 0.469660i
\(219\) 0.668830 + 0.491900i 0.0451954 + 0.0332395i
\(220\) −4.31928 + 9.26413i −0.291206 + 0.624588i
\(221\) −17.9017 10.3356i −1.20420 0.695245i
\(222\) −2.02463 + 0.644853i −0.135884 + 0.0432797i
\(223\) −4.44688 + 13.6861i −0.297785 + 0.916489i 0.684486 + 0.729026i \(0.260027\pi\)
−0.982272 + 0.187463i \(0.939973\pi\)
\(224\) −2.64536 0.0452468i −0.176751 0.00302318i
\(225\) −1.56652 + 13.4034i −0.104434 + 0.893560i
\(226\) 2.71629 6.10089i 0.180685 0.405825i
\(227\) −15.8516 3.36935i −1.05210 0.223632i −0.350768 0.936462i \(-0.614079\pi\)
−0.701336 + 0.712831i \(0.747413\pi\)
\(228\) 6.66628 + 3.01458i 0.441485 + 0.199645i
\(229\) 0.825233 7.85157i 0.0545329 0.518846i −0.932824 0.360333i \(-0.882663\pi\)
0.987357 0.158514i \(-0.0506702\pi\)
\(230\) 2.90228 0.191371
\(231\) −14.6323 + 4.11031i −0.962737 + 0.270438i
\(232\) 6.91203 0.453797
\(233\) 1.54271 14.6779i 0.101067 0.961584i −0.820049 0.572294i \(-0.806054\pi\)
0.921115 0.389290i \(-0.127280\pi\)
\(234\) −0.110164 + 9.47445i −0.00720163 + 0.619364i
\(235\) −31.0373 6.59719i −2.02465 0.430353i
\(236\) −4.59505 + 10.3207i −0.299112 + 0.671818i
\(237\) 14.5969 24.9466i 0.948172 1.62045i
\(238\) −8.40035 15.1421i −0.544514 0.981516i
\(239\) 0.406865 1.25220i 0.0263179 0.0809981i −0.937035 0.349236i \(-0.886441\pi\)
0.963353 + 0.268238i \(0.0864412\pi\)
\(240\) 1.62000 + 5.08628i 0.104571 + 0.328318i
\(241\) −14.9809 8.64925i −0.965007 0.557147i −0.0672967 0.997733i \(-0.521437\pi\)
−0.897710 + 0.440586i \(0.854771\pi\)
\(242\) 3.03324 + 10.5735i 0.194984 + 0.679692i
\(243\) 13.2678 + 8.18329i 0.851128 + 0.524958i
\(244\) −5.24156 + 7.21439i −0.335557 + 0.461854i
\(245\) −12.0762 17.8767i −0.771523 1.14210i
\(246\) −3.30213 + 2.93867i −0.210536 + 0.187363i
\(247\) 12.1876 + 5.42627i 0.775478 + 0.345265i
\(248\) −0.773936 7.36351i −0.0491450 0.467583i
\(249\) −4.30004 20.8247i −0.272504 1.31971i
\(250\) −0.321529 1.51268i −0.0203353 0.0956701i
\(251\) 3.11981 4.29405i 0.196921 0.271038i −0.699126 0.714999i \(-0.746427\pi\)
0.896046 + 0.443961i \(0.146427\pi\)
\(252\) −4.16444 + 6.75703i −0.262335 + 0.425653i
\(253\) 2.35707 2.04921i 0.148188 0.128833i
\(254\) 1.89824 1.09595i 0.119106 0.0687661i
\(255\) −23.5279 + 25.8268i −1.47337 + 1.61734i
\(256\) 0.669131 + 0.743145i 0.0418207 + 0.0464466i
\(257\) −5.27859 4.75286i −0.329269 0.296475i 0.487869 0.872917i \(-0.337774\pi\)
−0.817139 + 0.576441i \(0.804441\pi\)
\(258\) −1.09115 + 1.86480i −0.0679318 + 0.116097i
\(259\) −3.16282 0.729026i −0.196528 0.0452994i
\(260\) 3.00791 + 9.25741i 0.186543 + 0.574120i
\(261\) 10.5761 17.8362i 0.654647 1.10403i
\(262\) −10.3039 + 4.58761i −0.636580 + 0.283424i
\(263\) 3.24743 5.62471i 0.200245 0.346835i −0.748362 0.663290i \(-0.769159\pi\)
0.948607 + 0.316456i \(0.102493\pi\)
\(264\) 4.90694 + 2.98696i 0.302001 + 0.183835i
\(265\) 18.5616 1.14023
\(266\) 6.41333 + 9.15235i 0.393227 + 0.561167i
\(267\) −1.11313 11.2177i −0.0681225 0.686510i
\(268\) 4.20816 4.67364i 0.257055 0.285488i
\(269\) −21.2008 + 2.22830i −1.29264 + 0.135862i −0.725764 0.687944i \(-0.758514\pi\)
−0.566873 + 0.823805i \(0.691847\pi\)
\(270\) 15.6037 + 3.60219i 0.949612 + 0.219222i
\(271\) 11.6244 + 10.4666i 0.706132 + 0.635804i 0.941856 0.336016i \(-0.109080\pi\)
−0.235725 + 0.971820i \(0.575746\pi\)
\(272\) −2.02248 + 6.22456i −0.122631 + 0.377419i
\(273\) −7.52203 + 12.3653i −0.455254 + 0.748379i
\(274\) 13.9300i 0.841543i
\(275\) 11.9153 + 8.97771i 0.718518 + 0.541376i
\(276\) 0.179923 1.62114i 0.0108301 0.0975811i
\(277\) 2.05477 + 4.61509i 0.123459 + 0.277294i 0.964693 0.263378i \(-0.0848366\pi\)
−0.841233 + 0.540672i \(0.818170\pi\)
\(278\) 3.31397 + 15.5910i 0.198759 + 0.935087i
\(279\) −20.1855 9.26984i −1.20847 0.554971i
\(280\) −1.83146 + 7.94564i −0.109451 + 0.474843i
\(281\) −6.05472 + 4.39901i −0.361195 + 0.262423i −0.753550 0.657390i \(-0.771660\pi\)
0.392356 + 0.919814i \(0.371660\pi\)
\(282\) −5.60914 + 16.9277i −0.334020 + 1.00803i
\(283\) 7.05404 6.35148i 0.419319 0.377557i −0.432290 0.901735i \(-0.642294\pi\)
0.851609 + 0.524178i \(0.175627\pi\)
\(284\) 4.19342 + 9.41857i 0.248833 + 0.558889i
\(285\) 13.3592 18.1643i 0.791330 1.07596i
\(286\) 8.97923 + 5.39455i 0.530953 + 0.318987i
\(287\) −6.62774 + 1.29072i −0.391223 + 0.0761885i
\(288\) 2.94150 0.589575i 0.173329 0.0347410i
\(289\) −25.2710 + 5.37151i −1.48653 + 0.315971i
\(290\) 4.42900 20.8368i 0.260080 1.22358i
\(291\) 13.2678 7.55765i 0.777771 0.443037i
\(292\) 0.194965 0.437899i 0.0114095 0.0256261i
\(293\) 7.22868 + 22.2476i 0.422304 + 1.29972i 0.905552 + 0.424234i \(0.139457\pi\)
−0.483249 + 0.875483i \(0.660543\pi\)
\(294\) −10.7341 + 5.63724i −0.626027 + 0.328771i
\(295\) 28.1680 + 20.4652i 1.64000 + 1.19153i
\(296\) 0.613389 + 1.06242i 0.0356525 + 0.0617520i
\(297\) 15.2159 8.09181i 0.882914 0.469534i
\(298\) 4.64026 8.03717i 0.268803 0.465581i
\(299\) 0.310896 2.95798i 0.0179796 0.171064i
\(300\) 7.75305 0.769336i 0.447623 0.0444176i
\(301\) −2.88597 + 1.60104i −0.166345 + 0.0922826i
\(302\) −7.89879 10.8718i −0.454524 0.625599i
\(303\) 0.107922 18.5639i 0.00619993 1.06647i
\(304\) 0.878223 4.13171i 0.0503695 0.236970i
\(305\) 18.3897 + 20.4238i 1.05299 + 1.16946i
\(306\) 12.9676 + 14.7432i 0.741309 + 0.842811i
\(307\) 32.9371i 1.87982i 0.341425 + 0.939909i \(0.389090\pi\)
−0.341425 + 0.939909i \(0.610910\pi\)
\(308\) 4.12277 + 7.74615i 0.234916 + 0.441378i
\(309\) −0.457681 1.04426i −0.0260366 0.0594061i
\(310\) −22.6937 2.38521i −1.28892 0.135471i
\(311\) 22.4324 20.1982i 1.27202 1.14534i 0.289909 0.957054i \(-0.406375\pi\)
0.982115 0.188281i \(-0.0602915\pi\)
\(312\) 5.35742 1.10624i 0.303304 0.0626287i
\(313\) 6.72088 + 2.99233i 0.379886 + 0.169136i 0.587791 0.809013i \(-0.299998\pi\)
−0.207905 + 0.978149i \(0.566664\pi\)
\(314\) −6.34718 + 4.61150i −0.358192 + 0.260242i
\(315\) 17.7011 + 16.8837i 0.997343 + 0.951288i
\(316\) −15.8706 5.15667i −0.892791 0.290085i
\(317\) 5.07186 + 0.533074i 0.284864 + 0.0299404i 0.245883 0.969300i \(-0.420922\pi\)
0.0389811 + 0.999240i \(0.487589\pi\)
\(318\) 1.15070 10.3680i 0.0645281 0.581410i
\(319\) −11.1152 20.0497i −0.622334 1.12257i
\(320\) 2.66902 1.54096i 0.149203 0.0861422i
\(321\) −2.44366 + 11.1766i −0.136392 + 0.623818i
\(322\) 1.49875 1.99035i 0.0835218 0.110918i
\(323\) 26.2927 8.54300i 1.46296 0.475345i
\(324\) 2.97942 8.49253i 0.165524 0.471807i
\(325\) 14.1292 1.48503i 0.783745 0.0823749i
\(326\) −14.8289 3.15199i −0.821299 0.174572i
\(327\) −12.0613 + 8.65639i −0.666993 + 0.478699i
\(328\) 2.06470 + 1.50009i 0.114004 + 0.0828288i
\(329\) −20.5521 + 17.8783i −1.13307 + 0.985663i
\(330\) 12.1486 12.8784i 0.668758 0.708931i
\(331\) −11.3458 19.6515i −0.623621 1.08014i −0.988806 0.149208i \(-0.952328\pi\)
0.365185 0.930935i \(-0.381006\pi\)
\(332\) −11.2154 + 4.99341i −0.615525 + 0.274049i
\(333\) 3.68009 + 0.0427901i 0.201667 + 0.00234488i
\(334\) −5.38237 + 5.97773i −0.294510 + 0.327087i
\(335\) −11.3926 15.6805i −0.622442 0.856718i
\(336\) 4.32470 + 1.51559i 0.235931 + 0.0826821i
\(337\) 19.9563 6.48418i 1.08709 0.353216i 0.289967 0.957037i \(-0.406356\pi\)
0.797120 + 0.603821i \(0.206356\pi\)
\(338\) −2.95865 + 0.628880i −0.160929 + 0.0342065i
\(339\) −7.78973 + 8.55088i −0.423080 + 0.464420i
\(340\) 17.4684 + 10.0854i 0.947358 + 0.546958i
\(341\) −20.1147 + 14.0862i −1.08927 + 0.762811i
\(342\) −9.31795 8.58818i −0.503857 0.464396i
\(343\) −18.4959 0.949813i −0.998684 0.0512851i
\(344\) 1.18636 + 0.385470i 0.0639640 + 0.0207832i
\(345\) −4.77175 1.58116i −0.256902 0.0851269i
\(346\) 1.44940 + 13.7901i 0.0779201 + 0.741360i
\(347\) 0.0103379 + 0.0983583i 0.000554966 + 0.00528015i 0.994796 0.101888i \(-0.0324883\pi\)
−0.994241 + 0.107168i \(0.965822\pi\)
\(348\) −11.3643 3.76568i −0.609193 0.201862i
\(349\) 3.52948 + 1.14680i 0.188928 + 0.0613866i 0.401953 0.915660i \(-0.368331\pi\)
−0.213025 + 0.977047i \(0.568331\pi\)
\(350\) 10.7879 + 5.02586i 0.576636 + 0.268643i
\(351\) 5.34281 15.5173i 0.285178 0.828252i
\(352\) 1.07960 3.13599i 0.0575431 0.167149i
\(353\) 6.79914 + 3.92549i 0.361882 + 0.208933i 0.669906 0.742446i \(-0.266334\pi\)
−0.308024 + 0.951379i \(0.599668\pi\)
\(354\) 13.1776 14.4652i 0.700382 0.768817i
\(355\) 31.0799 6.60624i 1.64955 0.350623i
\(356\) −6.18979 + 2.01119i −0.328058 + 0.106593i
\(357\) 5.56191 + 29.4722i 0.294368 + 1.55984i
\(358\) −0.0736215 0.101331i −0.00389102 0.00535553i
\(359\) 23.8912 26.5339i 1.26093 1.40040i 0.381503 0.924368i \(-0.375407\pi\)
0.879426 0.476036i \(-0.157927\pi\)
\(360\) 0.107497 9.24513i 0.00566561 0.487261i
\(361\) 1.05757 0.470861i 0.0556617 0.0247822i
\(362\) −5.60256 9.70392i −0.294464 0.510027i
\(363\) 0.773385 19.0369i 0.0405922 0.999176i
\(364\) 7.90194 + 2.71775i 0.414174 + 0.142449i
\(365\) −1.19515 0.868326i −0.0625569 0.0454503i
\(366\) 12.5483 9.00585i 0.655908 0.470744i
\(367\) 28.2753 + 6.01010i 1.47596 + 0.313725i 0.874440 0.485133i \(-0.161229\pi\)
0.601519 + 0.798858i \(0.294562\pi\)
\(368\) −0.936553 + 0.0984357i −0.0488212 + 0.00513132i
\(369\) 7.03014 3.03258i 0.365975 0.157870i
\(370\) 3.59578 1.16834i 0.186936 0.0607391i
\(371\) 9.58525 12.7293i 0.497641 0.660874i
\(372\) −2.73919 + 12.5283i −0.142020 + 0.649561i
\(373\) −22.2105 + 12.8232i −1.15001 + 0.663961i −0.948891 0.315605i \(-0.897793\pi\)
−0.201124 + 0.979566i \(0.564459\pi\)
\(374\) 21.3079 4.14312i 1.10180 0.214236i
\(375\) −0.295468 + 2.66222i −0.0152579 + 0.137476i
\(376\) 10.2394 + 1.07620i 0.528055 + 0.0555009i
\(377\) −20.7622 6.74606i −1.06931 0.347440i
\(378\) 10.5282 8.84070i 0.541510 0.454716i
\(379\) −0.104403 + 0.0758535i −0.00536284 + 0.00389633i −0.590463 0.807064i \(-0.701055\pi\)
0.585101 + 0.810961i \(0.301055\pi\)
\(380\) −11.8926 5.29493i −0.610078 0.271624i
\(381\) −3.71805 + 0.767733i −0.190482 + 0.0393321i
\(382\) −11.9706 + 10.7784i −0.612468 + 0.551468i
\(383\) −20.7093 2.17664i −1.05820 0.111221i −0.440591 0.897708i \(-0.645231\pi\)
−0.617607 + 0.786487i \(0.711898\pi\)
\(384\) −0.695278 1.58638i −0.0354808 0.0809544i
\(385\) 25.9930 7.46489i 1.32473 0.380446i
\(386\) 5.38209i 0.273941i
\(387\) 2.80994 2.47153i 0.142837 0.125635i
\(388\) −5.89888 6.55137i −0.299470 0.332596i
\(389\) −3.69086 + 17.3642i −0.187134 + 0.880397i 0.779930 + 0.625866i \(0.215254\pi\)
−0.967065 + 0.254531i \(0.918079\pi\)
\(390\) 0.0980114 16.8592i 0.00496300 0.853697i
\(391\) −3.62276 4.98629i −0.183211 0.252168i
\(392\) 4.50327 + 5.35915i 0.227450 + 0.270678i
\(393\) 19.4404 1.92908i 0.980641 0.0973091i
\(394\) −2.21153 + 21.0413i −0.111415 + 1.06005i
\(395\) −25.7145 + 44.5388i −1.29384 + 2.24099i
\(396\) −6.44040 7.58428i −0.323642 0.381124i
\(397\) −6.68970 11.5869i −0.335746 0.581530i 0.647882 0.761741i \(-0.275655\pi\)
−0.983628 + 0.180211i \(0.942322\pi\)
\(398\) −15.5091 11.2680i −0.777399 0.564814i
\(399\) −5.55820 18.5417i −0.278258 0.928247i
\(400\) −1.39002 4.27805i −0.0695012 0.213903i
\(401\) −9.46995 + 21.2698i −0.472907 + 1.06217i 0.506861 + 0.862028i \(0.330806\pi\)
−0.979768 + 0.200138i \(0.935861\pi\)
\(402\) −9.46501 + 5.39150i −0.472072 + 0.268904i
\(403\) −4.86196 + 22.8737i −0.242192 + 1.13942i
\(404\) −10.4838 + 2.22840i −0.521589 + 0.110867i
\(405\) −23.6922 14.4234i −1.17727 0.716705i
\(406\) −12.0025 13.7976i −0.595676 0.684761i
\(407\) 2.09536 3.48773i 0.103863 0.172881i
\(408\) 6.71638 9.13219i 0.332510 0.452111i
\(409\) 3.11517 + 6.99678i 0.154035 + 0.345969i 0.974036 0.226394i \(-0.0726937\pi\)
−0.820001 + 0.572363i \(0.806027\pi\)
\(410\) 5.84513 5.26298i 0.288670 0.259920i
\(411\) −7.58908 + 22.9029i −0.374342 + 1.12972i
\(412\) −0.532552 + 0.386922i −0.0262370 + 0.0190623i
\(413\) 28.5809 8.74902i 1.40637 0.430511i
\(414\) −1.17902 + 2.56736i −0.0579455 + 0.126179i
\(415\) 7.86655 + 37.0092i 0.386154 + 1.81671i
\(416\) −1.28462 2.88531i −0.0629838 0.141464i
\(417\) 3.04536 27.4393i 0.149132 1.34371i
\(418\) −13.3971 + 4.09676i −0.655274 + 0.200379i
\(419\) 1.41006i 0.0688859i −0.999407 0.0344430i \(-0.989034\pi\)
0.999407 0.0344430i \(-0.0109657\pi\)
\(420\) 7.33996 12.0660i 0.358154 0.588758i
\(421\) 8.76429 26.9737i 0.427145 1.31462i −0.473780 0.880643i \(-0.657111\pi\)
0.900925 0.433975i \(-0.142889\pi\)
\(422\) −9.23549 8.31567i −0.449577 0.404801i
\(423\) 18.4444 24.7756i 0.896798 1.20463i
\(424\) −5.98974 + 0.629547i −0.290887 + 0.0305735i
\(425\) 19.6994 21.8784i 0.955561 1.06126i
\(426\) −1.76332 17.7700i −0.0854331 0.860960i
\(427\) 23.5029 2.06455i 1.13739 0.0999104i
\(428\) 6.60526 0.319277
\(429\) −11.8241 13.7613i −0.570875 0.664401i
\(430\) 1.92220 3.32935i 0.0926969 0.160556i
\(431\) 2.29839 1.02331i 0.110710 0.0492911i −0.350634 0.936512i \(-0.614034\pi\)
0.461344 + 0.887221i \(0.347367\pi\)
\(432\) −5.15743 0.633185i −0.248137 0.0304641i
\(433\) 4.56670 + 14.0549i 0.219462 + 0.675433i 0.998807 + 0.0488383i \(0.0155519\pi\)
−0.779345 + 0.626595i \(0.784448\pi\)
\(434\) −13.3549 + 14.3314i −0.641054 + 0.687930i
\(435\) −18.6338 + 31.8457i −0.893422 + 1.52688i
\(436\) 6.36982 + 5.73541i 0.305059 + 0.274676i
\(437\) 2.66167 + 2.95609i 0.127325 + 0.141409i
\(438\) −0.559117 + 0.613749i −0.0267156 + 0.0293261i
\(439\) 29.7430 17.1721i 1.41956 0.819581i 0.423296 0.905991i \(-0.360873\pi\)
0.996260 + 0.0864107i \(0.0275397\pi\)
\(440\) −8.76190 5.26398i −0.417707 0.250951i
\(441\) 20.7196 3.42045i 0.986646 0.162879i
\(442\) 12.1502 16.7233i 0.577925 0.795446i
\(443\) −0.0902981 0.424819i −0.00429019 0.0201838i 0.975950 0.217993i \(-0.0699508\pi\)
−0.980241 + 0.197809i \(0.936618\pi\)
\(444\) −0.429689 2.08094i −0.0203922 0.0987572i
\(445\) 2.09665 + 19.9483i 0.0993906 + 0.945638i
\(446\) −13.1463 5.85311i −0.622495 0.277153i
\(447\) −12.0079 + 10.6862i −0.567954 + 0.505440i
\(448\) 0.321515 2.62614i 0.0151901 0.124074i
\(449\) −14.0701 + 19.3658i −0.664008 + 0.913928i −0.999606 0.0280772i \(-0.991062\pi\)
0.335598 + 0.942005i \(0.391062\pi\)
\(450\) −13.1662 2.95897i −0.620662 0.139487i
\(451\) 1.03106 8.40136i 0.0485507 0.395605i
\(452\) 5.78354 + 3.33913i 0.272035 + 0.157059i
\(453\) 7.06377 + 22.1779i 0.331885 + 1.04201i
\(454\) 5.00783 15.4125i 0.235029 0.723345i
\(455\) 13.2562 22.0795i 0.621458 1.03510i
\(456\) −3.69488 + 6.31466i −0.173029 + 0.295711i
\(457\) −0.625599 + 1.40512i −0.0292643 + 0.0657287i −0.927586 0.373609i \(-0.878120\pi\)
0.898322 + 0.439338i \(0.144787\pi\)
\(458\) 7.72230 + 1.64142i 0.360839 + 0.0766987i
\(459\) −13.2885 31.3046i −0.620253 1.46117i
\(460\) −0.303371 + 2.88638i −0.0141447 + 0.134578i
\(461\) −26.6732 −1.24229 −0.621147 0.783694i \(-0.713333\pi\)
−0.621147 + 0.783694i \(0.713333\pi\)
\(462\) −2.55829 14.9818i −0.119023 0.697018i
\(463\) −21.7003 −1.00850 −0.504250 0.863557i \(-0.668231\pi\)
−0.504250 + 0.863557i \(0.668231\pi\)
\(464\) −0.722504 + 6.87417i −0.0335414 + 0.319125i
\(465\) 36.0122 + 16.2852i 1.67002 + 0.755206i
\(466\) 14.4363 + 3.06853i 0.668748 + 0.142147i
\(467\) 14.7550 33.1404i 0.682782 1.53355i −0.155217 0.987880i \(-0.549608\pi\)
0.837998 0.545673i \(-0.183726\pi\)
\(468\) −9.41103 1.09991i −0.435025 0.0508433i
\(469\) −16.6367 0.284557i −0.768212 0.0131396i
\(470\) 9.80533 30.1777i 0.452286 1.39199i
\(471\) 12.9480 4.12399i 0.596612 0.190024i
\(472\) −9.78381 5.64868i −0.450336 0.260002i
\(473\) −0.789649 4.06112i −0.0363081 0.186731i
\(474\) 23.2841 + 17.1246i 1.06947 + 0.786559i
\(475\) −11.1682 + 15.3718i −0.512434 + 0.705304i
\(476\) 15.9372 6.77155i 0.730481 0.310373i
\(477\) −7.54041 + 16.4196i −0.345252 + 0.751800i
\(478\) 1.20281 + 0.535526i 0.0550153 + 0.0244944i
\(479\) 0.618868 + 5.88814i 0.0282768 + 0.269036i 0.999521 + 0.0309500i \(0.00985327\pi\)
−0.971244 + 0.238086i \(0.923480\pi\)
\(480\) −5.22775 + 1.07947i −0.238613 + 0.0492707i
\(481\) −0.805577 3.78994i −0.0367311 0.172806i
\(482\) 10.1678 13.9948i 0.463131 0.637445i
\(483\) −3.54849 + 2.45590i −0.161462 + 0.111747i
\(484\) −10.8327 + 1.91139i −0.492394 + 0.0868816i
\(485\) −23.5294 + 13.5847i −1.06841 + 0.616849i
\(486\) −9.52532 + 12.3397i −0.432077 + 0.559740i
\(487\) 1.22064 + 1.35566i 0.0553125 + 0.0614308i 0.770166 0.637843i \(-0.220173\pi\)
−0.714854 + 0.699274i \(0.753507\pi\)
\(488\) −6.62698 5.96696i −0.299989 0.270111i
\(489\) 22.6636 + 13.2611i 1.02488 + 0.599688i
\(490\) 19.0411 10.1415i 0.860189 0.458145i
\(491\) 4.72757 + 14.5500i 0.213352 + 0.656631i 0.999266 + 0.0382954i \(0.0121928\pi\)
−0.785914 + 0.618336i \(0.787807\pi\)
\(492\) −2.57740 3.59121i −0.116198 0.161904i
\(493\) −41.3274 + 18.4001i −1.86129 + 0.828701i
\(494\) −6.67049 + 11.5536i −0.300120 + 0.519823i
\(495\) −26.9901 + 14.5553i −1.21312 + 0.654211i
\(496\) 7.40407 0.332453
\(497\) 11.5193 24.7258i 0.516710 1.10910i
\(498\) 21.1601 2.09972i 0.948206 0.0940905i
\(499\) 27.6948 30.7582i 1.23979 1.37693i 0.340104 0.940388i \(-0.389538\pi\)
0.899686 0.436538i \(-0.143796\pi\)
\(500\) 1.53800 0.161650i 0.0687814 0.00722922i
\(501\) 12.1060 6.89589i 0.540858 0.308086i
\(502\) 3.94442 + 3.55157i 0.176048 + 0.158514i
\(503\) −0.145451 + 0.447653i −0.00648535 + 0.0199599i −0.954247 0.299020i \(-0.903340\pi\)
0.947761 + 0.318980i \(0.103340\pi\)
\(504\) −6.28471 4.84793i −0.279943 0.215944i
\(505\) 33.0321i 1.46991i
\(506\) 1.79160 + 2.55836i 0.0796465 + 0.113733i
\(507\) 5.20704 + 0.577906i 0.231253 + 0.0256657i
\(508\) 0.891528 + 2.00240i 0.0395551 + 0.0888423i
\(509\) −7.92969 37.3063i −0.351478 1.65357i −0.698422 0.715686i \(-0.746114\pi\)
0.346945 0.937886i \(-0.387219\pi\)
\(510\) −23.2260 26.0986i −1.02846 1.15567i
\(511\) −1.21267 + 0.371215i −0.0536453 + 0.0164216i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) 10.6412 + 19.1966i 0.469819 + 0.847550i
\(514\) 5.27859 4.75286i 0.232829 0.209640i
\(515\) 0.825161 + 1.85334i 0.0363609 + 0.0816680i
\(516\) −1.74053 1.28009i −0.0766225 0.0563530i
\(517\) −13.3442 31.4319i −0.586878 1.38237i
\(518\) 1.05564 3.06929i 0.0463820 0.134857i
\(519\) 5.12984 23.4625i 0.225175 1.02989i
\(520\) −9.52110 + 2.02377i −0.417528 + 0.0887483i
\(521\) 6.77646 31.8807i 0.296882 1.39672i −0.536442 0.843937i \(-0.680232\pi\)
0.833325 0.552784i \(-0.186435\pi\)
\(522\) 16.6330 + 12.3826i 0.728007 + 0.541971i
\(523\) −8.05494 + 18.0917i −0.352218 + 0.791094i 0.647364 + 0.762181i \(0.275871\pi\)
−0.999582 + 0.0289133i \(0.990795\pi\)
\(524\) −3.48542 10.7270i −0.152261 0.468613i
\(525\) −14.9987 14.1404i −0.654595 0.617140i
\(526\) 5.25445 + 3.81758i 0.229105 + 0.166455i
\(527\) 24.2294 + 41.9666i 1.05545 + 1.82809i
\(528\) −3.48351 + 4.56784i −0.151600 + 0.198790i
\(529\) −11.0566 + 19.1506i −0.480721 + 0.832634i
\(530\) −1.94021 + 18.4599i −0.0842774 + 0.801846i
\(531\) −29.5465 + 16.6036i −1.28221 + 0.720537i
\(532\) −9.77259 + 5.42152i −0.423696 + 0.235053i
\(533\) −4.73784 6.52108i −0.205219 0.282459i
\(534\) 11.2726 + 0.0655335i 0.487812 + 0.00283591i
\(535\) 4.23243 19.9120i 0.182984 0.860871i
\(536\) 4.20816 + 4.67364i 0.181765 + 0.201871i
\(537\) 0.0658386 + 0.206712i 0.00284115 + 0.00892027i
\(538\) 21.3176i 0.919067i
\(539\) 8.30353 21.6807i 0.357658 0.933852i
\(540\) −5.21349 + 15.1417i −0.224353 + 0.651595i
\(541\) −27.3195 2.87140i −1.17456 0.123451i −0.502922 0.864332i \(-0.667742\pi\)
−0.671637 + 0.740881i \(0.734408\pi\)
\(542\) −11.6244 + 10.4666i −0.499310 + 0.449581i
\(543\) 3.92469 + 19.0069i 0.168425 + 0.815663i
\(544\) −5.97905 2.66205i −0.256350 0.114134i
\(545\) 21.3714 15.5272i 0.915449 0.665113i
\(546\) −11.5112 8.77334i −0.492636 0.375465i
\(547\) −12.5373 4.07360i −0.536055 0.174175i 0.0284643 0.999595i \(-0.490938\pi\)
−0.564519 + 0.825420i \(0.690938\pi\)
\(548\) 13.8537 + 1.45608i 0.591801 + 0.0622008i
\(549\) −25.5375 + 7.97058i −1.08991 + 0.340176i
\(550\) −10.1740 + 10.9116i −0.433821 + 0.465271i
\(551\) 25.2850 14.5983i 1.07718 0.621908i
\(552\) 1.59345 + 0.348393i 0.0678218 + 0.0148286i
\(553\) 17.2652 + 40.6347i 0.734193 + 1.72796i
\(554\) −4.80459 + 1.56111i −0.204128 + 0.0663251i
\(555\) −6.54848 0.0380698i −0.277967 0.00161597i
\(556\) −15.8520 + 1.66611i −0.672275 + 0.0706590i
\(557\) 10.0877 + 2.14421i 0.427431 + 0.0908532i 0.416604 0.909088i \(-0.363220\pi\)
0.0108270 + 0.999941i \(0.496554\pi\)
\(558\) 11.3290 19.1059i 0.479595 0.808818i
\(559\) −3.18734 2.31574i −0.134810 0.0979452i
\(560\) −7.71068 2.65197i −0.325836 0.112066i
\(561\) −37.2903 4.79667i −1.57440 0.202516i
\(562\) −3.74202 6.48138i −0.157848 0.273400i
\(563\) 5.76820 2.56817i 0.243101 0.108235i −0.281570 0.959541i \(-0.590855\pi\)
0.524671 + 0.851305i \(0.324188\pi\)
\(564\) −16.2486 7.34784i −0.684191 0.309400i
\(565\) 13.7719 15.2953i 0.579390 0.643478i
\(566\) 5.57934 + 7.67931i 0.234517 + 0.322785i
\(567\) −22.1262 + 8.79959i −0.929212 + 0.369548i
\(568\) −9.80530 + 3.18594i −0.411421 + 0.133679i
\(569\) −29.7627 + 6.32627i −1.24772 + 0.265211i −0.783994 0.620768i \(-0.786821\pi\)
−0.463725 + 0.885979i \(0.653487\pi\)
\(570\) 16.6684 + 15.1847i 0.698163 + 0.636017i
\(571\) −11.8491 6.84107i −0.495868 0.286290i 0.231137 0.972921i \(-0.425755\pi\)
−0.727006 + 0.686631i \(0.759089\pi\)
\(572\) −6.30359 + 8.36616i −0.263566 + 0.349807i
\(573\) 25.5533 11.1995i 1.06751 0.467867i
\(574\) −0.590857 6.72635i −0.0246619 0.280752i
\(575\) 4.02869 + 1.30900i 0.168008 + 0.0545892i
\(576\) 0.278875 + 2.98701i 0.0116198 + 0.124459i
\(577\) −4.06452 38.6714i −0.169208 1.60991i −0.668660 0.743568i \(-0.733132\pi\)
0.499452 0.866342i \(-0.333535\pi\)
\(578\) −2.70055 25.6940i −0.112328 1.06873i
\(579\) 2.93216 8.84890i 0.121857 0.367748i
\(580\) 20.2597 + 6.58277i 0.841238 + 0.273335i
\(581\) 29.4429 + 13.7169i 1.22150 + 0.569071i
\(582\) 6.12939 + 13.9851i 0.254071 + 0.579700i
\(583\) 11.4582 + 16.3620i 0.474551 + 0.677645i
\(584\) 0.415120 + 0.239670i 0.0171778 + 0.00991761i
\(585\) −9.34603 + 27.6654i −0.386411 + 1.14382i
\(586\) −22.8813 + 4.86357i −0.945218 + 0.200912i
\(587\) 3.93016 1.27698i 0.162215 0.0527068i −0.226784 0.973945i \(-0.572821\pi\)
0.388999 + 0.921238i \(0.372821\pi\)
\(588\) −4.48434 11.2646i −0.184931 0.464543i
\(589\) −18.3829 25.3020i −0.757456 1.04255i
\(590\) −23.2975 + 25.8745i −0.959142 + 1.06524i
\(591\) 15.0994 33.3900i 0.621105 1.37348i
\(592\) −1.12072 + 0.498976i −0.0460612 + 0.0205078i
\(593\) 11.9654 + 20.7247i 0.491359 + 0.851060i 0.999951 0.00994862i \(-0.00316680\pi\)
−0.508591 + 0.861008i \(0.669833\pi\)
\(594\) 6.45699 + 15.9783i 0.264934 + 0.655599i
\(595\) −10.2013 52.3828i −0.418211 2.14749i
\(596\) 7.50810 + 5.45496i 0.307544 + 0.223444i
\(597\) 19.3602 + 26.9755i 0.792362 + 1.10403i
\(598\) 2.90927 + 0.618385i 0.118969 + 0.0252877i
\(599\) 20.9951 2.20667i 0.857835 0.0901621i 0.334610 0.942357i \(-0.391395\pi\)
0.523225 + 0.852195i \(0.324729\pi\)
\(600\) −0.0452932 + 7.79100i −0.00184909 + 0.318066i
\(601\) 25.8399 8.39589i 1.05403 0.342475i 0.269782 0.962921i \(-0.413048\pi\)
0.784249 + 0.620446i \(0.213048\pi\)
\(602\) −1.29061 3.03752i −0.0526012 0.123800i
\(603\) 18.4991 3.70784i 0.753341 0.150995i
\(604\) 11.6378 6.71911i 0.473537 0.273397i
\(605\) −1.17918 + 33.8806i −0.0479404 + 1.37744i
\(606\) 18.4509 + 2.04778i 0.749516 + 0.0831854i
\(607\) −8.36565 0.879265i −0.339551 0.0356883i −0.0667815 0.997768i \(-0.521273\pi\)
−0.272770 + 0.962079i \(0.587940\pi\)
\(608\) 4.01728 + 1.30529i 0.162922 + 0.0529367i
\(609\) 12.2169 + 29.2241i 0.495054 + 1.18422i
\(610\) −22.2342 + 16.1541i −0.900234 + 0.654059i
\(611\) −29.7065 13.2262i −1.20180 0.535074i
\(612\) −16.0179 + 11.3555i −0.647485 + 0.459019i
\(613\) 2.54581 2.29226i 0.102824 0.0925835i −0.616115 0.787656i \(-0.711294\pi\)
0.718940 + 0.695073i \(0.244628\pi\)
\(614\) −32.7566 3.44286i −1.32195 0.138943i
\(615\) −12.4775 + 5.46864i −0.503140 + 0.220517i
\(616\) −8.13466 + 3.29049i −0.327755 + 0.132578i
\(617\) 3.55740i 0.143215i −0.997433 0.0716077i \(-0.977187\pi\)
0.997433 0.0716077i \(-0.0228130\pi\)
\(618\) 1.08638 0.346018i 0.0437008 0.0139189i
\(619\) 16.3170 + 18.1219i 0.655837 + 0.728380i 0.975707 0.219081i \(-0.0703059\pi\)
−0.319870 + 0.947461i \(0.603639\pi\)
\(620\) 4.74428 22.3201i 0.190535 0.896396i
\(621\) 3.33716 3.57876i 0.133916 0.143611i
\(622\) 17.7427 + 24.4208i 0.711419 + 0.979184i
\(623\) 14.7630 + 8.86348i 0.591469 + 0.355108i
\(624\) 0.540180 + 5.44371i 0.0216245 + 0.217923i
\(625\) 2.84915 27.1078i 0.113966 1.08431i
\(626\) −3.67846 + 6.37128i −0.147021 + 0.254647i
\(627\) 24.2586 + 0.563105i 0.968796 + 0.0224882i
\(628\) −3.92277 6.79444i −0.156536 0.271128i
\(629\) −6.49570 4.71940i −0.259000 0.188175i
\(630\) −18.6415 + 15.8393i −0.742694 + 0.631053i
\(631\) 4.73303 + 14.5668i 0.188419 + 0.579894i 0.999990 0.00435903i \(-0.00138753\pi\)
−0.811571 + 0.584253i \(0.801388\pi\)
\(632\) 6.78735 15.2446i 0.269986 0.606399i
\(633\) 10.6540 + 18.7036i 0.423460 + 0.743402i
\(634\) −1.06031 + 4.98836i −0.0421102 + 0.198113i
\(635\) 6.60765 1.40450i 0.262216 0.0557358i
\(636\) 10.1909 + 2.22815i 0.404097 + 0.0883519i
\(637\) −8.29638 20.4929i −0.328715 0.811957i
\(638\) 21.1017 8.95859i 0.835424 0.354674i
\(639\) −6.78197 + 30.1770i −0.268290 + 1.19378i
\(640\) 1.25353 + 2.81547i 0.0495501 + 0.111291i
\(641\) −11.6753 + 10.5125i −0.461148 + 0.415220i −0.866683 0.498860i \(-0.833752\pi\)
0.405534 + 0.914080i \(0.367085\pi\)
\(642\) −10.8600 3.59855i −0.428608 0.142023i
\(643\) 23.3131 16.9380i 0.919379 0.667968i −0.0239904 0.999712i \(-0.507637\pi\)
0.943369 + 0.331744i \(0.107637\pi\)
\(644\) 1.82279 + 1.69858i 0.0718280 + 0.0669336i
\(645\) −4.97420 + 4.42670i −0.195859 + 0.174301i
\(646\) 5.74787 + 27.0416i 0.226147 + 1.06394i
\(647\) −13.9072 31.2360i −0.546747 1.22801i −0.949806 0.312841i \(-0.898719\pi\)
0.403058 0.915174i \(-0.367947\pi\)
\(648\) 8.13457 + 3.85081i 0.319556 + 0.151274i
\(649\) −0.651740 + 37.4635i −0.0255830 + 1.47057i
\(650\) 14.2070i 0.557244i
\(651\) 29.7650 16.2871i 1.16658 0.638342i
\(652\) 4.68477 14.4182i 0.183470 0.564661i
\(653\) 16.5847 + 14.9329i 0.649008 + 0.584369i 0.926471 0.376367i \(-0.122827\pi\)
−0.277463 + 0.960736i \(0.589494\pi\)
\(654\) −7.34821 12.9001i −0.287338 0.504434i
\(655\) −34.5707 + 3.63353i −1.35079 + 0.141974i
\(656\) −1.70770 + 1.89659i −0.0666743 + 0.0740493i
\(657\) 1.25364 0.704481i 0.0489090 0.0274844i
\(658\) −15.6321 22.3083i −0.609402 0.869667i
\(659\) −25.6988 −1.00108 −0.500541 0.865713i \(-0.666865\pi\)
−0.500541 + 0.865713i \(0.666865\pi\)
\(660\) 11.5380 + 13.4282i 0.449114 + 0.522692i
\(661\) −3.56073 + 6.16737i −0.138496 + 0.239883i −0.926928 0.375240i \(-0.877560\pi\)
0.788431 + 0.615123i \(0.210894\pi\)
\(662\) 20.7298 9.22949i 0.805686 0.358714i
\(663\) −29.0874 + 20.8760i −1.12966 + 0.810756i
\(664\) −3.79373 11.6759i −0.147225 0.453113i
\(665\) 10.0816 + 32.9341i 0.390947 + 1.27713i
\(666\) −0.427229 + 3.65545i −0.0165548 + 0.141646i
\(667\) −4.83724 4.35547i −0.187299 0.168644i
\(668\) −5.38237 5.97773i −0.208250 0.231285i
\(669\) 18.4256 + 16.7854i 0.712374 + 0.648962i
\(670\) 16.7855 9.69109i 0.648479 0.374400i
\(671\) −6.65145 + 28.8183i −0.256777 + 1.11252i
\(672\) −1.95934 + 4.14258i −0.0755831 + 0.159804i
\(673\) 22.0224 30.3112i 0.848901 1.16841i −0.135203 0.990818i \(-0.543169\pi\)
0.984104 0.177594i \(-0.0568313\pi\)
\(674\) 4.36266 + 20.5247i 0.168044 + 0.790583i
\(675\) 20.0351 + 12.0379i 0.771150 + 0.463340i
\(676\) −0.316172 3.00817i −0.0121605 0.115699i
\(677\) 20.1849 + 8.98688i 0.775767 + 0.345394i 0.756137 0.654413i \(-0.227084\pi\)
0.0196304 + 0.999807i \(0.493751\pi\)
\(678\) −7.68979 8.64087i −0.295325 0.331851i
\(679\) −2.83439 + 23.1514i −0.108774 + 0.888469i
\(680\) −11.8561 + 16.3185i −0.454661 + 0.625787i
\(681\) −16.6303 + 22.6121i −0.637275 + 0.866496i
\(682\) −11.9065 21.4769i −0.455923 0.822394i
\(683\) −26.0305 15.0287i −0.996031 0.575059i −0.0889592 0.996035i \(-0.528354\pi\)
−0.907071 + 0.420977i \(0.861687\pi\)
\(684\) 9.51512 8.36920i 0.363820 0.320004i
\(685\) 13.2665 40.8299i 0.506885 1.56003i
\(686\) 2.87796 18.2953i 0.109881 0.698517i
\(687\) −11.8023 6.90584i −0.450285 0.263474i
\(688\) −0.507366 + 1.13956i −0.0193432 + 0.0434454i
\(689\) 18.6063 + 3.95489i 0.708843 + 0.150669i
\(690\) 2.07128 4.58033i 0.0788524 0.174370i
\(691\) 3.91547 37.2532i 0.148951 1.41718i −0.623360 0.781935i \(-0.714233\pi\)
0.772312 0.635244i \(-0.219100\pi\)
\(692\) −13.8661 −0.527108
\(693\) −3.95591 + 26.0260i −0.150273 + 0.988645i
\(694\) −0.0989001 −0.00375420
\(695\) −5.13483 + 48.8546i −0.194775 + 1.85316i
\(696\) 4.93295 10.9085i 0.186983 0.413484i
\(697\) −16.3383 3.47281i −0.618856 0.131542i
\(698\) −1.50944 + 3.39027i −0.0571333 + 0.128324i
\(699\) −22.0635 12.9100i −0.834519 0.488300i
\(700\) −6.12597 + 10.2034i −0.231540 + 0.385653i
\(701\) −2.35501 + 7.24797i −0.0889474 + 0.273752i −0.985629 0.168924i \(-0.945971\pi\)
0.896682 + 0.442676i \(0.145971\pi\)
\(702\) 14.8738 + 6.93554i 0.561376 + 0.261765i
\(703\) 4.48769 + 2.59097i 0.169256 + 0.0977202i
\(704\) 3.00596 + 1.40149i 0.113292 + 0.0528207i
\(705\) −32.5622 + 44.2744i −1.22636 + 1.66747i
\(706\) −4.61468 + 6.35157i −0.173676 + 0.239044i
\(707\) 22.6531 + 17.0579i 0.851957 + 0.641527i
\(708\) 13.0085 + 14.6174i 0.488891 + 0.549357i
\(709\) 24.0158 + 10.6925i 0.901933 + 0.401566i 0.804691 0.593694i \(-0.202331\pi\)
0.0972421 + 0.995261i \(0.468998\pi\)
\(710\) 3.32132 + 31.6002i 0.124647 + 1.18593i
\(711\) −28.9528 40.8404i −1.08582 1.53163i
\(712\) −1.35316 6.36611i −0.0507118 0.238580i
\(713\) −4.09833 + 5.64087i −0.153484 + 0.211252i
\(714\) −29.8921 + 2.45076i −1.11869 + 0.0917173i
\(715\) 21.1812 + 24.3634i 0.792133 + 0.911138i
\(716\) 0.108472 0.0626262i 0.00405378 0.00234045i
\(717\) −1.68583 1.53577i −0.0629586 0.0573545i
\(718\) 23.8912 + 26.5339i 0.891611 + 0.990235i
\(719\) 10.0853 + 9.08084i 0.376118 + 0.338658i 0.835410 0.549627i \(-0.185230\pi\)
−0.459292 + 0.888285i \(0.651897\pi\)
\(720\) 9.18324 + 1.07329i 0.342239 + 0.0399991i
\(721\) 1.69712 + 0.391184i 0.0632040 + 0.0145685i
\(722\) 0.357736 + 1.10100i 0.0133135 + 0.0409749i
\(723\) −24.3416 + 17.4699i −0.905275 + 0.649714i
\(724\) 10.2364 4.55753i 0.380432 0.169379i
\(725\) 15.5459 26.9263i 0.577360 1.00002i
\(726\) 18.8517 + 2.75904i 0.699653 + 0.102398i
\(727\) −9.71879 −0.360450 −0.180225 0.983625i \(-0.557683\pi\)
−0.180225 + 0.983625i \(0.557683\pi\)
\(728\) −3.52884 + 7.57457i −0.130788 + 0.280732i
\(729\) 22.3836 15.0988i 0.829023 0.559214i
\(730\) 0.988496 1.09784i 0.0365859 0.0406328i
\(731\) −8.11942 + 0.853385i −0.300308 + 0.0315636i
\(732\) 7.64487 + 13.4209i 0.282563 + 0.496050i
\(733\) 4.26339 + 3.83878i 0.157472 + 0.141789i 0.744100 0.668068i \(-0.232878\pi\)
−0.586628 + 0.809856i \(0.699545\pi\)
\(734\) −8.93276 + 27.4922i −0.329714 + 1.01476i
\(735\) −36.8313 + 6.30039i −1.35854 + 0.232393i
\(736\) 0.941712i 0.0347120i
\(737\) 6.78964 19.7223i 0.250099 0.726479i
\(738\) 2.28112 + 7.30862i 0.0839691 + 0.269034i
\(739\) −4.39103 9.86241i −0.161527 0.362794i 0.814592 0.580035i \(-0.196961\pi\)
−0.976118 + 0.217240i \(0.930294\pi\)
\(740\) 0.786078 + 3.69821i 0.0288968 + 0.135949i
\(741\) 17.2616 15.3617i 0.634122 0.564326i
\(742\) 11.6577 + 10.8633i 0.427967 + 0.398805i
\(743\) 17.7155 12.8711i 0.649918 0.472193i −0.213325 0.976981i \(-0.568429\pi\)
0.863243 + 0.504788i \(0.168429\pi\)
\(744\) −12.1733 4.03374i −0.446296 0.147884i
\(745\) 21.2553 19.1383i 0.778733 0.701175i
\(746\) −10.4313 23.4292i −0.381919 0.857804i
\(747\) −35.9340 8.07579i −1.31476 0.295478i
\(748\) 1.89315 + 21.6242i 0.0692203 + 0.790660i
\(749\) −11.4698 13.1852i −0.419098 0.481776i
\(750\) −2.61675 0.572127i −0.0955503 0.0208911i
\(751\) −50.8622 + 10.8111i −1.85599 + 0.394503i −0.993715 0.111939i \(-0.964294\pi\)
−0.862274 + 0.506442i \(0.830961\pi\)
\(752\) −2.14061 + 10.0708i −0.0780601 + 0.367244i
\(753\) −4.55027 7.98819i −0.165821 0.291106i
\(754\) 8.87935 19.9433i 0.323367 0.726294i
\(755\) −12.7981 39.3885i −0.465770 1.43349i
\(756\) 7.69178 + 11.3946i 0.279747 + 0.414417i
\(757\) −16.4528 11.9537i −0.597988 0.434464i 0.247176 0.968971i \(-0.420497\pi\)
−0.845164 + 0.534507i \(0.820497\pi\)
\(758\) −0.0645249 0.111760i −0.00234365 0.00405932i
\(759\) −1.55185 5.18236i −0.0563286 0.188108i
\(760\) 6.50904 11.2740i 0.236108 0.408950i
\(761\) −0.528610 + 5.02939i −0.0191621 + 0.182315i −0.999916 0.0129308i \(-0.995884\pi\)
0.980754 + 0.195246i \(0.0625506\pi\)
\(762\) −0.374885 3.77793i −0.0135806 0.136860i
\(763\) 0.387830 22.6746i 0.0140404 0.820875i
\(764\) −9.46804 13.0316i −0.342542 0.471468i
\(765\) 23.9682 + 55.5633i 0.866573 + 2.00889i
\(766\) 4.32943 20.3684i 0.156429 0.735939i
\(767\) 23.8754 + 26.5163i 0.862090 + 0.957448i
\(768\) 1.65036 0.525648i 0.0595523 0.0189677i
\(769\) 30.0408i 1.08330i 0.840605 + 0.541649i \(0.182200\pi\)
−0.840605 + 0.541649i \(0.817800\pi\)
\(770\) 4.70699 + 26.6309i 0.169628 + 0.959712i
\(771\) −11.2681 + 4.93859i −0.405811 + 0.177859i
\(772\) −5.35261 0.562582i −0.192645 0.0202478i
\(773\) −21.0556 + 18.9586i −0.757319 +