Properties

Label 230.4.g.b.41.5
Level $230$
Weight $4$
Character 230.41
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.5704393013\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(6\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 41.5
Character \(\chi\) \(=\) 230.41
Dual form 230.4.g.b.101.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.91899 + 0.563465i) q^{2} +(3.92901 - 4.53431i) q^{3} +(3.36501 + 2.16256i) q^{4} +(-0.711574 + 4.94911i) q^{5} +(10.0946 - 6.48743i) q^{6} +(-9.52105 - 20.8482i) q^{7} +(5.23889 + 6.04600i) q^{8} +(-1.28042 - 8.90551i) q^{9} +O(q^{10})\) \(q+(1.91899 + 0.563465i) q^{2} +(3.92901 - 4.53431i) q^{3} +(3.36501 + 2.16256i) q^{4} +(-0.711574 + 4.94911i) q^{5} +(10.0946 - 6.48743i) q^{6} +(-9.52105 - 20.8482i) q^{7} +(5.23889 + 6.04600i) q^{8} +(-1.28042 - 8.90551i) q^{9} +(-4.15415 + 9.09632i) q^{10} +(13.9340 - 4.09140i) q^{11} +(23.0269 - 6.76131i) q^{12} +(37.0096 - 81.0397i) q^{13} +(-6.52354 - 45.3722i) q^{14} +(19.6450 + 22.6716i) q^{15} +(6.64664 + 14.5541i) q^{16} +(77.8174 - 50.0102i) q^{17} +(2.56084 - 17.8110i) q^{18} +(53.9221 + 34.6536i) q^{19} +(-13.0972 + 15.1150i) q^{20} +(-131.941 - 38.7412i) q^{21} +29.0446 q^{22} +(-110.267 + 2.84616i) q^{23} +47.9981 q^{24} +(-23.9873 - 7.04331i) q^{25} +(116.684 - 134.660i) q^{26} +(90.8664 + 58.3963i) q^{27} +(13.0471 - 90.7444i) q^{28} +(-107.264 + 68.9345i) q^{29} +(24.9239 + 54.5757i) q^{30} +(-66.3076 - 76.5231i) q^{31} +(4.55407 + 31.6743i) q^{32} +(36.1952 - 79.2565i) q^{33} +(177.510 - 52.1215i) q^{34} +(109.955 - 32.2857i) q^{35} +(14.9501 - 32.7362i) q^{36} +(29.8403 + 207.544i) q^{37} +(83.9496 + 96.8830i) q^{38} +(-222.049 - 486.219i) q^{39} +(-33.6501 + 21.6256i) q^{40} +(-72.2486 + 502.500i) q^{41} +(-231.363 - 148.688i) q^{42} +(308.570 - 356.109i) q^{43} +(55.7362 + 16.3656i) q^{44} +44.9854 q^{45} +(-213.205 - 56.6701i) q^{46} -581.613 q^{47} +(92.1076 + 27.0452i) q^{48} +(-119.380 + 137.772i) q^{49} +(-42.0627 - 27.0320i) q^{50} +(78.9830 - 549.339i) q^{51} +(299.791 - 192.664i) q^{52} +(-53.6467 - 117.470i) q^{53} +(141.467 + 163.262i) q^{54} +(10.3337 + 71.8724i) q^{55} +(76.1684 - 166.786i) q^{56} +(368.991 - 108.345i) q^{57} +(-244.681 + 71.8447i) q^{58} +(-314.941 + 689.624i) q^{59} +(17.0771 + 118.774i) q^{60} +(324.296 + 374.258i) q^{61} +(-84.1253 - 184.209i) q^{62} +(-173.473 + 111.484i) q^{63} +(-9.10815 + 63.3486i) q^{64} +(374.739 + 240.830i) q^{65} +(114.116 - 131.697i) q^{66} +(187.122 + 54.9440i) q^{67} +370.007 q^{68} +(-420.336 + 511.170i) q^{69} +229.194 q^{70} +(951.125 + 279.275i) q^{71} +(47.1347 - 54.3964i) q^{72} +(70.8643 + 45.5417i) q^{73} +(-59.6805 + 415.087i) q^{74} +(-126.183 + 81.0928i) q^{75} +(106.508 + 233.220i) q^{76} +(-217.965 - 251.545i) q^{77} +(-152.141 - 1058.16i) q^{78} +(323.333 - 708.002i) q^{79} +(-76.7594 + 22.5386i) q^{80} +(854.883 - 251.016i) q^{81} +(-421.785 + 923.581i) q^{82} +(-84.1375 - 585.189i) q^{83} +(-360.201 - 415.695i) q^{84} +(192.133 + 420.713i) q^{85} +(792.796 - 509.499i) q^{86} +(-108.871 + 757.214i) q^{87} +(97.7355 + 62.8108i) q^{88} +(-1015.60 + 1172.06i) q^{89} +(86.3264 + 25.3477i) q^{90} -2041.90 q^{91} +(-377.206 - 228.883i) q^{92} -607.503 q^{93} +(-1116.11 - 327.718i) q^{94} +(-209.874 + 242.208i) q^{95} +(161.514 + 103.799i) q^{96} +(-79.1799 + 550.708i) q^{97} +(-306.718 + 197.115i) q^{98} +(-54.2774 - 118.851i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + O(q^{10}) \) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + 60q^{10} - 51q^{11} + 120q^{12} + 184q^{13} + 20q^{14} - 15q^{15} - 96q^{16} - 334q^{17} - 138q^{18} + 258q^{19} - 120q^{20} + 716q^{21} + 344q^{22} - 288q^{23} + 288q^{24} - 150q^{25} + 336q^{26} - 813q^{27} - 40q^{28} + 1462q^{29} + 30q^{30} - 481q^{31} + 192q^{32} + 269q^{33} - 168q^{34} - 380q^{35} + 12q^{36} - 787q^{37} - 978q^{38} + 2065q^{39} + 240q^{40} - 1843q^{41} + 724q^{42} + 128q^{43} - 204q^{44} + 2380q^{45} + 92q^{46} - 1838q^{47} + 480q^{48} - 606q^{49} + 300q^{50} + 2320q^{51} - 12q^{52} - 3284q^{53} + 636q^{54} - 200q^{55} - 800q^{56} - 2710q^{57} - 856q^{58} - 2708q^{59} - 60q^{60} + 437q^{61} + 962q^{62} + 6063q^{63} - 384q^{64} - 15q^{65} + 1090q^{66} + 2804q^{67} + 600q^{68} + 7900q^{69} - 120q^{70} + 2676q^{71} + 1384q^{72} + 876q^{73} + 1574q^{74} - 75q^{75} + 20q^{76} + 9310q^{77} - 2612q^{78} - 1233q^{79} - 480q^{80} - 6030q^{81} - 1132q^{82} - 9923q^{83} - 964q^{84} + 1300q^{85} + 5222q^{86} - 5719q^{87} - 1176q^{88} - 1827q^{89} + 190q^{90} - 7626q^{91} + 564q^{92} + 230q^{93} - 1142q^{94} + 2445q^{95} + 96q^{96} + 939q^{97} - 5916q^{98} - 10589q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{6}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.91899 + 0.563465i 0.678464 + 0.199215i
\(3\) 3.92901 4.53431i 0.756137 0.872629i −0.239011 0.971017i \(-0.576823\pi\)
0.995148 + 0.0983878i \(0.0313686\pi\)
\(4\) 3.36501 + 2.16256i 0.420627 + 0.270320i
\(5\) −0.711574 + 4.94911i −0.0636451 + 0.442662i
\(6\) 10.0946 6.48743i 0.686853 0.441414i
\(7\) −9.52105 20.8482i −0.514089 1.12570i −0.971629 0.236508i \(-0.923997\pi\)
0.457541 0.889189i \(-0.348730\pi\)
\(8\) 5.23889 + 6.04600i 0.231528 + 0.267198i
\(9\) −1.28042 8.90551i −0.0474229 0.329834i
\(10\) −4.15415 + 9.09632i −0.131366 + 0.287651i
\(11\) 13.9340 4.09140i 0.381934 0.112146i −0.0851292 0.996370i \(-0.527130\pi\)
0.467063 + 0.884224i \(0.345312\pi\)
\(12\) 23.0269 6.76131i 0.553941 0.162652i
\(13\) 37.0096 81.0397i 0.789586 1.72895i 0.111752 0.993736i \(-0.464354\pi\)
0.677834 0.735215i \(-0.262919\pi\)
\(14\) −6.52354 45.3722i −0.124535 0.866159i
\(15\) 19.6450 + 22.6716i 0.338155 + 0.390252i
\(16\) 6.64664 + 14.5541i 0.103854 + 0.227408i
\(17\) 77.8174 50.0102i 1.11021 0.713486i 0.148868 0.988857i \(-0.452437\pi\)
0.961338 + 0.275371i \(0.0888007\pi\)
\(18\) 2.56084 17.8110i 0.0335331 0.233228i
\(19\) 53.9221 + 34.6536i 0.651083 + 0.418426i 0.824062 0.566500i \(-0.191703\pi\)
−0.172979 + 0.984926i \(0.555339\pi\)
\(20\) −13.0972 + 15.1150i −0.146431 + 0.168991i
\(21\) −131.941 38.7412i −1.37104 0.402573i
\(22\) 29.0446 0.281469
\(23\) −110.267 + 2.84616i −0.999667 + 0.0258029i
\(24\) 47.9981 0.408232
\(25\) −23.9873 7.04331i −0.191899 0.0563465i
\(26\) 116.684 134.660i 0.880139 1.01573i
\(27\) 90.8664 + 58.3963i 0.647676 + 0.416236i
\(28\) 13.0471 90.7444i 0.0880595 0.612467i
\(29\) −107.264 + 68.9345i −0.686844 + 0.441408i −0.836962 0.547260i \(-0.815671\pi\)
0.150119 + 0.988668i \(0.452034\pi\)
\(30\) 24.9239 + 54.5757i 0.151682 + 0.332137i
\(31\) −66.3076 76.5231i −0.384168 0.443353i 0.530423 0.847733i \(-0.322033\pi\)
−0.914591 + 0.404380i \(0.867487\pi\)
\(32\) 4.55407 + 31.6743i 0.0251579 + 0.174977i
\(33\) 36.1952 79.2565i 0.190933 0.418084i
\(34\) 177.510 52.1215i 0.895372 0.262905i
\(35\) 109.955 32.2857i 0.531022 0.155922i
\(36\) 14.9501 32.7362i 0.0692134 0.151556i
\(37\) 29.8403 + 207.544i 0.132587 + 0.922161i 0.942165 + 0.335149i \(0.108787\pi\)
−0.809578 + 0.587012i \(0.800304\pi\)
\(38\) 83.9496 + 96.8830i 0.358380 + 0.413592i
\(39\) −222.049 486.219i −0.911698 1.99634i
\(40\) −33.6501 + 21.6256i −0.133014 + 0.0854828i
\(41\) −72.2486 + 502.500i −0.275203 + 1.91408i 0.115026 + 0.993362i \(0.463305\pi\)
−0.390229 + 0.920718i \(0.627604\pi\)
\(42\) −231.363 148.688i −0.850001 0.546263i
\(43\) 308.570 356.109i 1.09434 1.26293i 0.131947 0.991257i \(-0.457877\pi\)
0.962389 0.271675i \(-0.0875775\pi\)
\(44\) 55.7362 + 16.3656i 0.190967 + 0.0560729i
\(45\) 44.9854 0.149023
\(46\) −213.205 56.6701i −0.683378 0.181642i
\(47\) −581.613 −1.80504 −0.902521 0.430647i \(-0.858285\pi\)
−0.902521 + 0.430647i \(0.858285\pi\)
\(48\) 92.1076 + 27.0452i 0.276971 + 0.0813259i
\(49\) −119.380 + 137.772i −0.348046 + 0.401667i
\(50\) −42.0627 27.0320i −0.118971 0.0764582i
\(51\) 78.9830 549.339i 0.216860 1.50829i
\(52\) 299.791 192.664i 0.799492 0.513802i
\(53\) −53.6467 117.470i −0.139037 0.304448i 0.827286 0.561781i \(-0.189884\pi\)
−0.966323 + 0.257333i \(0.917156\pi\)
\(54\) 141.467 + 163.262i 0.356504 + 0.411428i
\(55\) 10.3337 + 71.8724i 0.0253344 + 0.176205i
\(56\) 76.1684 166.786i 0.181758 0.397994i
\(57\) 368.991 108.345i 0.857438 0.251767i
\(58\) −244.681 + 71.8447i −0.553934 + 0.162650i
\(59\) −314.941 + 689.624i −0.694945 + 1.52172i 0.151049 + 0.988526i \(0.451735\pi\)
−0.845995 + 0.533191i \(0.820993\pi\)
\(60\) 17.0771 + 118.774i 0.0367440 + 0.255560i
\(61\) 324.296 + 374.258i 0.680686 + 0.785554i 0.986008 0.166695i \(-0.0533096\pi\)
−0.305322 + 0.952249i \(0.598764\pi\)
\(62\) −84.1253 184.209i −0.172321 0.377331i
\(63\) −173.473 + 111.484i −0.346913 + 0.222948i
\(64\) −9.10815 + 63.3486i −0.0177894 + 0.123728i
\(65\) 374.739 + 240.830i 0.715087 + 0.459559i
\(66\) 114.116 131.697i 0.212830 0.245618i
\(67\) 187.122 + 54.9440i 0.341203 + 0.100186i 0.447845 0.894111i \(-0.352192\pi\)
−0.106642 + 0.994297i \(0.534010\pi\)
\(68\) 370.007 0.659852
\(69\) −420.336 + 511.170i −0.733369 + 0.891849i
\(70\) 229.194 0.391341
\(71\) 951.125 + 279.275i 1.58983 + 0.466815i 0.952692 0.303937i \(-0.0983011\pi\)
0.637135 + 0.770752i \(0.280119\pi\)
\(72\) 47.1347 54.3964i 0.0771511 0.0890371i
\(73\) 70.8643 + 45.5417i 0.113617 + 0.0730172i 0.596215 0.802825i \(-0.296671\pi\)
−0.482598 + 0.875842i \(0.660307\pi\)
\(74\) −59.6805 + 415.087i −0.0937530 + 0.652066i
\(75\) −126.183 + 81.0928i −0.194271 + 0.124851i
\(76\) 106.508 + 233.220i 0.160754 + 0.352002i
\(77\) −217.965 251.545i −0.322590 0.372289i
\(78\) −152.141 1058.16i −0.220853 1.53607i
\(79\) 323.333 708.002i 0.460479 1.00831i −0.526899 0.849928i \(-0.676645\pi\)
0.987378 0.158381i \(-0.0506274\pi\)
\(80\) −76.7594 + 22.5386i −0.107275 + 0.0314987i
\(81\) 854.883 251.016i 1.17268 0.344330i
\(82\) −421.785 + 923.581i −0.568029 + 1.24381i
\(83\) −84.1375 585.189i −0.111269 0.773890i −0.966689 0.255955i \(-0.917610\pi\)
0.855420 0.517935i \(-0.173299\pi\)
\(84\) −360.201 415.695i −0.467871 0.539952i
\(85\) 192.133 + 420.713i 0.245174 + 0.536855i
\(86\) 792.796 509.499i 0.994063 0.638845i
\(87\) −108.871 + 757.214i −0.134163 + 0.933125i
\(88\) 97.7355 + 62.8108i 0.118394 + 0.0760869i
\(89\) −1015.60 + 1172.06i −1.20959 + 1.39594i −0.314973 + 0.949100i \(0.601996\pi\)
−0.894615 + 0.446839i \(0.852550\pi\)
\(90\) 86.3264 + 25.3477i 0.101107 + 0.0296876i
\(91\) −2041.90 −2.35219
\(92\) −377.206 228.883i −0.427462 0.259377i
\(93\) −607.503 −0.677367
\(94\) −1116.11 327.718i −1.22466 0.359591i
\(95\) −209.874 + 242.208i −0.226659 + 0.261579i
\(96\) 161.514 + 103.799i 0.171713 + 0.110353i
\(97\) −79.1799 + 550.708i −0.0828815 + 0.576453i 0.905487 + 0.424374i \(0.139506\pi\)
−0.988368 + 0.152079i \(0.951403\pi\)
\(98\) −306.718 + 197.115i −0.316155 + 0.203180i
\(99\) −54.2774 118.851i −0.0551019 0.120656i
\(100\) −65.4861 75.5750i −0.0654861 0.0755750i
\(101\) 35.6458 + 247.922i 0.0351177 + 0.244249i 0.999818 0.0191030i \(-0.00608104\pi\)
−0.964700 + 0.263352i \(0.915172\pi\)
\(102\) 461.101 1009.67i 0.447606 0.980120i
\(103\) −698.406 + 205.071i −0.668116 + 0.196177i −0.598164 0.801374i \(-0.704103\pi\)
−0.0699523 + 0.997550i \(0.522285\pi\)
\(104\) 683.855 200.798i 0.644783 0.189326i
\(105\) 285.620 625.421i 0.265463 0.581284i
\(106\) −36.7571 255.651i −0.0336808 0.234255i
\(107\) 488.516 + 563.777i 0.441370 + 0.509368i 0.932228 0.361871i \(-0.117862\pi\)
−0.490858 + 0.871240i \(0.663317\pi\)
\(108\) 179.481 + 393.009i 0.159913 + 0.350160i
\(109\) 40.5788 26.0784i 0.0356582 0.0229161i −0.522690 0.852523i \(-0.675072\pi\)
0.558348 + 0.829607i \(0.311435\pi\)
\(110\) −20.6674 + 143.745i −0.0179142 + 0.124596i
\(111\) 1058.31 + 680.135i 0.904958 + 0.581581i
\(112\) 240.144 277.141i 0.202602 0.233816i
\(113\) −1765.48 518.393i −1.46976 0.431560i −0.553738 0.832691i \(-0.686799\pi\)
−0.916021 + 0.401131i \(0.868617\pi\)
\(114\) 769.137 0.631897
\(115\) 64.3775 547.750i 0.0522020 0.444156i
\(116\) −510.021 −0.408226
\(117\) −769.088 225.825i −0.607711 0.178440i
\(118\) −992.945 + 1145.92i −0.774644 + 0.893987i
\(119\) −1783.53 1146.20i −1.37391 0.882960i
\(120\) −34.1542 + 237.548i −0.0259820 + 0.180709i
\(121\) −942.291 + 605.573i −0.707957 + 0.454976i
\(122\) 411.439 + 900.925i 0.305327 + 0.668573i
\(123\) 1994.63 + 2301.92i 1.46219 + 1.68746i
\(124\) −57.6401 400.896i −0.0417438 0.290335i
\(125\) 51.9269 113.704i 0.0371558 0.0813600i
\(126\) −395.710 + 116.191i −0.279783 + 0.0821516i
\(127\) −1121.74 + 329.373i −0.783767 + 0.230135i −0.649047 0.760749i \(-0.724832\pi\)
−0.134721 + 0.990884i \(0.543014\pi\)
\(128\) −53.1731 + 116.433i −0.0367178 + 0.0804009i
\(129\) −402.336 2798.31i −0.274602 1.90990i
\(130\) 583.420 + 673.302i 0.393610 + 0.454250i
\(131\) 75.4339 + 165.177i 0.0503106 + 0.110165i 0.933118 0.359570i \(-0.117077\pi\)
−0.882807 + 0.469735i \(0.844349\pi\)
\(132\) 293.195 188.425i 0.193328 0.124244i
\(133\) 209.071 1454.12i 0.136306 0.948030i
\(134\) 328.126 + 210.874i 0.211535 + 0.135946i
\(135\) −353.668 + 408.154i −0.225473 + 0.260210i
\(136\) 710.038 + 208.486i 0.447686 + 0.131452i
\(137\) 1048.19 0.653671 0.326836 0.945081i \(-0.394018\pi\)
0.326836 + 0.945081i \(0.394018\pi\)
\(138\) −1094.64 + 744.083i −0.675234 + 0.458989i
\(139\) 464.824 0.283639 0.141820 0.989893i \(-0.454705\pi\)
0.141820 + 0.989893i \(0.454705\pi\)
\(140\) 439.820 + 129.143i 0.265511 + 0.0779611i
\(141\) −2285.16 + 2637.21i −1.36486 + 1.57513i
\(142\) 1667.83 + 1071.85i 0.985644 + 0.633435i
\(143\) 184.127 1280.63i 0.107675 0.748894i
\(144\) 121.101 77.8271i 0.0700818 0.0450388i
\(145\) −264.838 579.914i −0.151680 0.332133i
\(146\) 110.326 + 127.323i 0.0625389 + 0.0721737i
\(147\) 155.656 + 1082.61i 0.0873353 + 0.607430i
\(148\) −348.413 + 762.919i −0.193509 + 0.423727i
\(149\) 2995.26 879.487i 1.64685 0.483560i 0.678804 0.734320i \(-0.262499\pi\)
0.968049 + 0.250760i \(0.0806806\pi\)
\(150\) −287.836 + 84.5163i −0.156678 + 0.0460049i
\(151\) 18.7442 41.0441i 0.0101019 0.0221200i −0.904514 0.426444i \(-0.859766\pi\)
0.914616 + 0.404324i \(0.132493\pi\)
\(152\) 72.9760 + 507.559i 0.0389417 + 0.270845i
\(153\) −545.006 628.970i −0.287981 0.332348i
\(154\) −276.535 605.527i −0.144700 0.316849i
\(155\) 425.904 273.712i 0.220706 0.141839i
\(156\) 304.282 2116.33i 0.156167 1.08616i
\(157\) 2737.66 + 1759.39i 1.39165 + 0.894359i 0.999672 0.0256150i \(-0.00815439\pi\)
0.391979 + 0.919974i \(0.371791\pi\)
\(158\) 1019.41 1176.46i 0.513289 0.592367i
\(159\) −743.424 218.289i −0.370801 0.108877i
\(160\) −160.000 −0.0790569
\(161\) 1109.20 + 2271.78i 0.542964 + 1.11206i
\(162\) 1781.95 0.864216
\(163\) 193.560 + 56.8344i 0.0930110 + 0.0273105i 0.327907 0.944710i \(-0.393657\pi\)
−0.234896 + 0.972021i \(0.575475\pi\)
\(164\) −1329.81 + 1534.68i −0.633173 + 0.730720i
\(165\) 366.493 + 235.531i 0.172918 + 0.111128i
\(166\) 168.275 1170.38i 0.0786787 0.547223i
\(167\) 2090.76 1343.65i 0.968792 0.622604i 0.0423738 0.999102i \(-0.486508\pi\)
0.926418 + 0.376497i \(0.122872\pi\)
\(168\) −456.992 1000.67i −0.209867 0.459545i
\(169\) −3758.99 4338.11i −1.71097 1.97456i
\(170\) 131.644 + 915.602i 0.0593918 + 0.413079i
\(171\) 239.565 524.575i 0.107135 0.234592i
\(172\) 1808.45 531.009i 0.801703 0.235401i
\(173\) −1821.67 + 534.891i −0.800572 + 0.235069i −0.656331 0.754473i \(-0.727892\pi\)
−0.144242 + 0.989543i \(0.546074\pi\)
\(174\) −635.585 + 1391.74i −0.276917 + 0.606364i
\(175\) 81.5442 + 567.152i 0.0352238 + 0.244987i
\(176\) 152.161 + 175.603i 0.0651681 + 0.0752080i
\(177\) 1889.57 + 4137.57i 0.802421 + 1.75706i
\(178\) −2609.34 + 1676.92i −1.09875 + 0.706126i
\(179\) 360.433 2506.87i 0.150503 1.04677i −0.764876 0.644177i \(-0.777200\pi\)
0.915379 0.402593i \(-0.131891\pi\)
\(180\) 151.377 + 97.2839i 0.0626831 + 0.0402840i
\(181\) 1584.02 1828.05i 0.650492 0.750708i −0.330701 0.943736i \(-0.607285\pi\)
0.981193 + 0.193027i \(0.0618306\pi\)
\(182\) −3918.38 1150.54i −1.59588 0.468592i
\(183\) 2971.16 1.20019
\(184\) −594.886 651.766i −0.238346 0.261135i
\(185\) −1048.39 −0.416644
\(186\) −1165.79 342.307i −0.459569 0.134942i
\(187\) 879.699 1015.23i 0.344011 0.397009i
\(188\) −1957.13 1257.77i −0.759249 0.487939i
\(189\) 352.314 2450.40i 0.135593 0.943069i
\(190\) −539.221 + 346.536i −0.205890 + 0.132318i
\(191\) −57.8476 126.669i −0.0219147 0.0479865i 0.898358 0.439264i \(-0.144761\pi\)
−0.920273 + 0.391277i \(0.872033\pi\)
\(192\) 251.456 + 290.196i 0.0945172 + 0.109079i
\(193\) 173.674 + 1207.93i 0.0647737 + 0.450511i 0.996237 + 0.0866749i \(0.0276241\pi\)
−0.931463 + 0.363836i \(0.881467\pi\)
\(194\) −462.250 + 1012.19i −0.171070 + 0.374592i
\(195\) 2564.35 752.962i 0.941728 0.276516i
\(196\) −699.655 + 205.437i −0.254976 + 0.0748678i
\(197\) −1614.67 + 3535.64i −0.583962 + 1.27870i 0.355061 + 0.934843i \(0.384460\pi\)
−0.939023 + 0.343855i \(0.888267\pi\)
\(198\) −37.1892 258.657i −0.0133481 0.0928381i
\(199\) −978.171 1128.87i −0.348446 0.402128i 0.554290 0.832324i \(-0.312990\pi\)
−0.902736 + 0.430196i \(0.858444\pi\)
\(200\) −83.0830 181.926i −0.0293743 0.0643207i
\(201\) 984.337 632.595i 0.345422 0.221989i
\(202\) −71.2916 + 495.844i −0.0248320 + 0.172710i
\(203\) 2458.43 + 1579.94i 0.849990 + 0.546255i
\(204\) 1453.76 1677.73i 0.498939 0.575806i
\(205\) −2435.52 715.132i −0.829774 0.243644i
\(206\) −1455.78 −0.492374
\(207\) 166.535 + 978.343i 0.0559178 + 0.328500i
\(208\) 1425.45 0.475179
\(209\) 893.134 + 262.248i 0.295595 + 0.0867946i
\(210\) 900.504 1039.24i 0.295908 0.341496i
\(211\) 2023.11 + 1300.17i 0.660078 + 0.424206i 0.827336 0.561707i \(-0.189855\pi\)
−0.167258 + 0.985913i \(0.553491\pi\)
\(212\) 73.5142 511.303i 0.0238159 0.165643i
\(213\) 5003.30 3215.42i 1.60948 1.03435i
\(214\) 619.786 + 1357.14i 0.197980 + 0.433515i
\(215\) 1542.85 + 1780.54i 0.489402 + 0.564800i
\(216\) 122.975 + 855.309i 0.0387379 + 0.269428i
\(217\) −964.050 + 2110.98i −0.301585 + 0.660379i
\(218\) 92.5644 27.1794i 0.0287581 0.00844413i
\(219\) 484.926 142.387i 0.149627 0.0439344i
\(220\) −120.656 + 264.199i −0.0369754 + 0.0809649i
\(221\) −1172.82 8157.16i −0.356980 2.48285i
\(222\) 1647.65 + 1901.49i 0.498122 + 0.574863i
\(223\) −524.314 1148.09i −0.157447 0.344761i 0.814426 0.580268i \(-0.197052\pi\)
−0.971873 + 0.235507i \(0.924325\pi\)
\(224\) 616.992 396.517i 0.184038 0.118274i
\(225\) −32.0105 + 222.638i −0.00948459 + 0.0659667i
\(226\) −3095.84 1989.58i −0.911205 0.585596i
\(227\) 3782.39 4365.11i 1.10593 1.27631i 0.148101 0.988972i \(-0.452684\pi\)
0.957829 0.287339i \(-0.0927708\pi\)
\(228\) 1475.96 + 433.382i 0.428719 + 0.125883i
\(229\) −2618.38 −0.755578 −0.377789 0.925892i \(-0.623316\pi\)
−0.377789 + 0.925892i \(0.623316\pi\)
\(230\) 432.178 1014.85i 0.123900 0.290945i
\(231\) −1996.97 −0.568792
\(232\) −978.723 287.379i −0.276967 0.0813248i
\(233\) −1870.90 + 2159.13i −0.526038 + 0.607080i −0.955132 0.296180i \(-0.904287\pi\)
0.429095 + 0.903260i \(0.358833\pi\)
\(234\) −1348.62 866.708i −0.376762 0.242130i
\(235\) 413.861 2878.46i 0.114882 0.799022i
\(236\) −2551.13 + 1639.51i −0.703664 + 0.452217i
\(237\) −1939.92 4247.84i −0.531694 1.16425i
\(238\) −2776.72 3204.50i −0.756252 0.872761i
\(239\) −273.687 1903.53i −0.0740724 0.515185i −0.992752 0.120181i \(-0.961652\pi\)
0.918680 0.395004i \(-0.129257\pi\)
\(240\) −199.391 + 436.606i −0.0536277 + 0.117428i
\(241\) 1736.22 509.800i 0.464065 0.136262i −0.0413379 0.999145i \(-0.513162\pi\)
0.505403 + 0.862883i \(0.331344\pi\)
\(242\) −2149.46 + 631.139i −0.570961 + 0.167649i
\(243\) 1009.16 2209.74i 0.266409 0.583355i
\(244\) 281.905 + 1960.69i 0.0739636 + 0.514428i
\(245\) −596.899 688.858i −0.155651 0.179631i
\(246\) 2530.61 + 5541.26i 0.655877 + 1.43617i
\(247\) 4803.95 3087.31i 1.23752 0.795308i
\(248\) 115.280 801.791i 0.0295173 0.205298i
\(249\) −2984.01 1917.71i −0.759453 0.488071i
\(250\) 163.715 188.937i 0.0414170 0.0477978i
\(251\) −382.866 112.420i −0.0962801 0.0282704i 0.233238 0.972420i \(-0.425068\pi\)
−0.329518 + 0.944149i \(0.606886\pi\)
\(252\) −824.831 −0.206188
\(253\) −1524.83 + 490.807i −0.378913 + 0.121964i
\(254\) −2338.20 −0.577604
\(255\) 2662.54 + 781.791i 0.653861 + 0.191991i
\(256\) −167.644 + 193.472i −0.0409288 + 0.0472343i
\(257\) 1284.14 + 825.265i 0.311682 + 0.200306i 0.687124 0.726540i \(-0.258873\pi\)
−0.375442 + 0.926846i \(0.622509\pi\)
\(258\) 804.671 5596.61i 0.194173 1.35050i
\(259\) 4042.80 2598.15i 0.969913 0.623325i
\(260\) 740.192 + 1620.79i 0.176557 + 0.386605i
\(261\) 751.240 + 866.978i 0.178163 + 0.205611i
\(262\) 51.6850 + 359.477i 0.0121874 + 0.0847655i
\(263\) −914.071 + 2001.54i −0.214312 + 0.469278i −0.986005 0.166718i \(-0.946683\pi\)
0.771693 + 0.635996i \(0.219410\pi\)
\(264\) 668.807 196.379i 0.155917 0.0457815i
\(265\) 619.545 181.915i 0.143616 0.0421696i
\(266\) 1220.55 2672.63i 0.281341 0.616050i
\(267\) 1324.21 + 9210.09i 0.303522 + 2.11104i
\(268\) 510.849 + 589.551i 0.116437 + 0.134375i
\(269\) −788.780 1727.19i −0.178784 0.391481i 0.798930 0.601424i \(-0.205400\pi\)
−0.977714 + 0.209942i \(0.932672\pi\)
\(270\) −908.664 + 583.963i −0.204813 + 0.131625i
\(271\) 497.064 3457.16i 0.111419 0.774935i −0.855123 0.518425i \(-0.826518\pi\)
0.966542 0.256509i \(-0.0825724\pi\)
\(272\) 1245.08 + 800.164i 0.277551 + 0.178371i
\(273\) −8022.65 + 9258.63i −1.77858 + 2.05259i
\(274\) 2011.46 + 590.619i 0.443492 + 0.130221i
\(275\) −363.057 −0.0796116
\(276\) −2519.87 + 811.090i −0.549560 + 0.176891i
\(277\) −3370.38 −0.731071 −0.365536 0.930797i \(-0.619114\pi\)
−0.365536 + 0.930797i \(0.619114\pi\)
\(278\) 891.991 + 261.912i 0.192439 + 0.0565052i
\(279\) −596.576 + 688.485i −0.128014 + 0.147737i
\(280\) 771.240 + 495.646i 0.164609 + 0.105788i
\(281\) 58.9307 409.872i 0.0125107 0.0870140i −0.982609 0.185684i \(-0.940550\pi\)
0.995120 + 0.0986703i \(0.0314589\pi\)
\(282\) −5871.17 + 3773.17i −1.23980 + 0.796770i
\(283\) 1870.02 + 4094.77i 0.392796 + 0.860102i 0.997950 + 0.0639944i \(0.0203840\pi\)
−0.605155 + 0.796108i \(0.706889\pi\)
\(284\) 2596.60 + 2996.63i 0.542534 + 0.626118i
\(285\) 273.649 + 1903.27i 0.0568756 + 0.395579i
\(286\) 1074.93 2353.76i 0.222244 0.486647i
\(287\) 11164.1 3278.08i 2.29615 0.674211i
\(288\) 276.245 81.1127i 0.0565204 0.0165959i
\(289\) 1513.60 3314.31i 0.308080 0.674600i
\(290\) −181.459 1262.07i −0.0367436 0.255557i
\(291\) 2185.99 + 2522.76i 0.440360 + 0.508203i
\(292\) 139.972 + 306.497i 0.0280523 + 0.0614259i
\(293\) −351.562 + 225.935i −0.0700971 + 0.0450487i −0.575220 0.817999i \(-0.695084\pi\)
0.505123 + 0.863047i \(0.331447\pi\)
\(294\) −311.312 + 2165.22i −0.0617554 + 0.429518i
\(295\) −3188.92 2049.39i −0.629376 0.404475i
\(296\) −1098.48 + 1267.71i −0.215702 + 0.248933i
\(297\) 1505.06 + 441.925i 0.294048 + 0.0863404i
\(298\) 6243.42 1.21366
\(299\) −3850.30 + 9041.37i −0.744711 + 1.74875i
\(300\) −599.976 −0.115465
\(301\) −10362.1 3042.60i −1.98426 0.582633i
\(302\) 59.0968 68.2014i 0.0112604 0.0129952i
\(303\) 1264.21 + 812.457i 0.239693 + 0.154041i
\(304\) −145.952 + 1015.12i −0.0275359 + 0.191517i
\(305\) −2083.00 + 1338.66i −0.391057 + 0.251317i
\(306\) −691.455 1514.08i −0.129176 0.282856i
\(307\) −3022.74 3488.42i −0.561944 0.648517i 0.401680 0.915780i \(-0.368426\pi\)
−0.963624 + 0.267263i \(0.913881\pi\)
\(308\) −189.473 1317.82i −0.0350528 0.243797i
\(309\) −1814.19 + 3972.52i −0.333998 + 0.731354i
\(310\) 971.530 285.267i 0.177997 0.0522648i
\(311\) −8988.72 + 2639.33i −1.63892 + 0.481230i −0.966012 0.258497i \(-0.916773\pi\)
−0.672907 + 0.739727i \(0.734955\pi\)
\(312\) 1776.39 3889.75i 0.322334 0.705813i
\(313\) −255.771 1778.92i −0.0461885 0.321248i −0.999796 0.0201956i \(-0.993571\pi\)
0.953608 0.301053i \(-0.0973380\pi\)
\(314\) 4262.18 + 4918.82i 0.766015 + 0.884028i
\(315\) −428.309 937.866i −0.0766110 0.167755i
\(316\) 2619.12 1683.21i 0.466256 0.299645i
\(317\) −149.266 + 1038.17i −0.0264467 + 0.183941i −0.998763 0.0497289i \(-0.984164\pi\)
0.972316 + 0.233669i \(0.0750734\pi\)
\(318\) −1303.62 837.787i −0.229885 0.147738i
\(319\) −1212.58 + 1399.40i −0.212827 + 0.245615i
\(320\) −307.038 90.1544i −0.0536373 0.0157493i
\(321\) 4475.72 0.778226
\(322\) 848.470 + 4984.51i 0.146843 + 0.862657i
\(323\) 5929.11 1.02138
\(324\) 3419.53 + 1004.07i 0.586340 + 0.172165i
\(325\) −1458.55 + 1683.26i −0.248941 + 0.287293i
\(326\) 339.415 + 218.129i 0.0576640 + 0.0370584i
\(327\) 41.1866 286.459i 0.00696522 0.0484441i
\(328\) −3416.61 + 2195.72i −0.575155 + 0.369630i
\(329\) 5537.57 + 12125.6i 0.927951 + 2.03193i
\(330\) 570.582 + 658.486i 0.0951803 + 0.109844i
\(331\) 988.282 + 6873.65i 0.164111 + 1.14142i 0.890781 + 0.454433i \(0.150158\pi\)
−0.726670 + 0.686987i \(0.758933\pi\)
\(332\) 982.384 2151.12i 0.162396 0.355597i
\(333\) 1810.07 531.486i 0.297872 0.0874632i
\(334\) 4769.25 1400.38i 0.781322 0.229417i
\(335\) −405.075 + 886.991i −0.0660645 + 0.144661i
\(336\) −313.117 2177.78i −0.0508391 0.353594i
\(337\) −6547.35 7556.05i −1.05833 1.22138i −0.974380 0.224907i \(-0.927792\pi\)
−0.0839490 0.996470i \(-0.526753\pi\)
\(338\) −4769.08 10442.8i −0.767467 1.68052i
\(339\) −9287.15 + 5968.49i −1.48793 + 0.956235i
\(340\) −263.287 + 1831.20i −0.0419964 + 0.292091i
\(341\) −1237.02 794.984i −0.196447 0.126249i
\(342\) 755.302 871.665i 0.119421 0.137819i
\(343\) −3534.00 1037.67i −0.556320 0.163350i
\(344\) 3769.59 0.590822
\(345\) −2230.73 2444.02i −0.348112 0.381396i
\(346\) −3797.15 −0.589989
\(347\) 8515.61 + 2500.41i 1.31741 + 0.386827i 0.863558 0.504249i \(-0.168231\pi\)
0.453854 + 0.891076i \(0.350049\pi\)
\(348\) −2003.87 + 2312.59i −0.308675 + 0.356230i
\(349\) −5929.91 3810.92i −0.909515 0.584510i 8.27026e−5 1.00000i \(-0.499974\pi\)
−0.909598 + 0.415490i \(0.863610\pi\)
\(350\) −163.088 + 1134.30i −0.0249070 + 0.173232i
\(351\) 8095.35 5202.56i 1.23105 0.791146i
\(352\) 193.049 + 422.718i 0.0292317 + 0.0640084i
\(353\) −2467.56 2847.72i −0.372054 0.429374i 0.538588 0.842569i \(-0.318958\pi\)
−0.910642 + 0.413196i \(0.864413\pi\)
\(354\) 1294.67 + 9004.65i 0.194382 + 1.35195i
\(355\) −2058.96 + 4508.49i −0.307826 + 0.674045i
\(356\) −5952.17 + 1747.71i −0.886136 + 0.260193i
\(357\) −12204.7 + 3583.63i −1.80936 + 0.531277i
\(358\) 2104.20 4607.55i 0.310643 0.680214i
\(359\) −337.953 2350.52i −0.0496838 0.345558i −0.999467 0.0326493i \(-0.989606\pi\)
0.949783 0.312909i \(-0.101304\pi\)
\(360\) 235.674 + 271.982i 0.0345030 + 0.0398186i
\(361\) −1142.61 2501.97i −0.166586 0.364773i
\(362\) 4069.75 2615.47i 0.590888 0.379741i
\(363\) −956.405 + 6651.94i −0.138287 + 0.961808i
\(364\) −6871.03 4415.74i −0.989395 0.635846i
\(365\) −275.816 + 318.309i −0.0395531 + 0.0456467i
\(366\) 5701.62 + 1674.15i 0.814285 + 0.239096i
\(367\) −3164.47 −0.450093 −0.225046 0.974348i \(-0.572253\pi\)
−0.225046 + 0.974348i \(0.572253\pi\)
\(368\) −774.331 1585.93i −0.109687 0.224653i
\(369\) 4567.53 0.644379
\(370\) −2011.84 590.731i −0.282678 0.0830017i
\(371\) −1938.26 + 2236.88i −0.271239 + 0.313026i
\(372\) −2044.26 1313.76i −0.284919 0.183106i
\(373\) 561.517 3905.43i 0.0779470 0.542133i −0.913008 0.407941i \(-0.866247\pi\)
0.990955 0.134192i \(-0.0428440\pi\)
\(374\) 2260.18 1452.53i 0.312489 0.200824i
\(375\) −311.549 682.196i −0.0429021 0.0939426i
\(376\) −3047.00 3516.43i −0.417918 0.482303i
\(377\) 1616.63 + 11243.9i 0.220850 + 1.53605i
\(378\) 2056.80 4503.76i 0.279868 0.612826i
\(379\) −4238.40 + 1244.51i −0.574437 + 0.168670i −0.556033 0.831161i \(-0.687677\pi\)
−0.0184050 + 0.999831i \(0.505859\pi\)
\(380\) −1230.02 + 361.166i −0.166049 + 0.0487564i
\(381\) −2913.85 + 6380.44i −0.391814 + 0.857952i
\(382\) −39.6354 275.671i −0.00530871 0.0369229i
\(383\) −733.457 846.454i −0.0978535 0.112929i 0.704711 0.709495i \(-0.251077\pi\)
−0.802564 + 0.596566i \(0.796531\pi\)
\(384\) 319.026 + 698.569i 0.0423964 + 0.0928352i
\(385\) 1400.02 899.740i 0.185329 0.119104i
\(386\) −347.348 + 2415.86i −0.0458019 + 0.318560i
\(387\) −3566.43 2292.00i −0.468454 0.301057i
\(388\) −1457.38 + 1681.91i −0.190689 + 0.220067i
\(389\) 6537.41 + 1919.56i 0.852081 + 0.250194i 0.678477 0.734622i \(-0.262640\pi\)
0.173605 + 0.984815i \(0.444459\pi\)
\(390\) 5345.22 0.694015
\(391\) −8438.39 + 5735.98i −1.09143 + 0.741895i
\(392\) −1458.38 −0.187907
\(393\) 1045.35 + 306.941i 0.134175 + 0.0393973i
\(394\) −5090.74 + 5875.02i −0.650933 + 0.751217i
\(395\) 3273.90 + 2104.01i 0.417032 + 0.268010i
\(396\) 74.3785 517.314i 0.00943854 0.0656465i
\(397\) −7551.93 + 4853.33i −0.954711 + 0.613556i −0.922530 0.385926i \(-0.873882\pi\)
−0.0321818 + 0.999482i \(0.510246\pi\)
\(398\) −1241.02 2717.45i −0.156298 0.342245i
\(399\) −5771.99 6661.23i −0.724212 0.835786i
\(400\) −56.9259 395.929i −0.00711574 0.0494911i
\(401\) −2672.11 + 5851.11i −0.332765 + 0.728654i −0.999867 0.0163123i \(-0.994807\pi\)
0.667102 + 0.744967i \(0.267535\pi\)
\(402\) 2245.37 659.302i 0.278580 0.0817984i
\(403\) −8655.43 + 2541.46i −1.06987 + 0.314142i
\(404\) −416.198 + 911.347i −0.0512540 + 0.112231i
\(405\) 633.994 + 4409.52i 0.0777862 + 0.541015i
\(406\) 3827.45 + 4417.12i 0.467865 + 0.539945i
\(407\) 1264.94 + 2769.83i 0.154056 + 0.337335i
\(408\) 3735.09 2400.39i 0.453221 0.291268i
\(409\) 1293.08 8993.55i 0.156329 1.08729i −0.748997 0.662574i \(-0.769464\pi\)
0.905326 0.424718i \(-0.139627\pi\)
\(410\) −4270.77 2744.66i −0.514435 0.330607i
\(411\) 4118.35 4752.82i 0.494265 0.570413i
\(412\) −2793.62 820.282i −0.334058 0.0980883i
\(413\) 17376.0 2.07026
\(414\) −231.684 + 1971.26i −0.0275040 + 0.234015i
\(415\) 2956.03 0.349653
\(416\) 2735.42 + 803.192i 0.322392 + 0.0946628i
\(417\) 1826.30 2107.66i 0.214470 0.247512i
\(418\) 1566.14 + 1006.50i 0.183260 + 0.117774i
\(419\) 1529.29 10636.5i 0.178308 1.24016i −0.682370 0.731007i \(-0.739051\pi\)
0.860678 0.509150i \(-0.170040\pi\)
\(420\) 2313.63 1486.88i 0.268794 0.172743i
\(421\) −1916.82 4197.24i −0.221900 0.485893i 0.765639 0.643271i \(-0.222423\pi\)
−0.987538 + 0.157378i \(0.949696\pi\)
\(422\) 3149.71 + 3634.96i 0.363331 + 0.419306i
\(423\) 744.708 + 5179.56i 0.0856003 + 0.595363i
\(424\) 429.174 939.760i 0.0491569 0.107639i
\(425\) −2218.87 + 651.519i −0.253249 + 0.0743607i
\(426\) 11413.0 3351.17i 1.29804 0.381138i
\(427\) 4714.96 10324.3i 0.534363 1.17009i
\(428\) 424.658 + 2953.56i 0.0479594 + 0.333565i
\(429\) −5083.35 5866.50i −0.572090 0.660227i
\(430\) 1957.43 + 4286.18i 0.219525 + 0.480693i
\(431\) 8095.16 5202.44i 0.904710 0.581422i −0.00347353 0.999994i \(-0.501106\pi\)
0.908184 + 0.418572i \(0.137469\pi\)
\(432\) −245.950 + 1710.62i −0.0273918 + 0.190514i
\(433\) −233.725 150.206i −0.0259402 0.0166708i 0.527606 0.849489i \(-0.323090\pi\)
−0.553547 + 0.832818i \(0.686726\pi\)
\(434\) −3039.46 + 3507.72i −0.336172 + 0.387963i
\(435\) −3670.06 1077.63i −0.404520 0.118778i
\(436\) 192.945 0.0211935
\(437\) −6044.48 3667.69i −0.661663 0.401486i
\(438\) 1010.80 0.110269
\(439\) 4994.53 + 1466.53i 0.542998 + 0.159439i 0.541717 0.840561i \(-0.317774\pi\)
0.00128030 + 0.999999i \(0.499592\pi\)
\(440\) −380.403 + 439.009i −0.0412159 + 0.0475657i
\(441\) 1379.78 + 886.733i 0.148989 + 0.0957491i
\(442\) 2345.64 16314.3i 0.252423 1.75564i
\(443\) −6892.35 + 4429.45i −0.739200 + 0.475055i −0.855268 0.518186i \(-0.826607\pi\)
0.116068 + 0.993241i \(0.462971\pi\)
\(444\) 2090.40 + 4577.33i 0.223436 + 0.489257i
\(445\) −5078.00 5860.32i −0.540944 0.624283i
\(446\) −359.244 2498.60i −0.0381406 0.265274i
\(447\) 7780.51 17036.9i 0.823279 1.80273i
\(448\) 1407.42 413.257i 0.148425 0.0435816i
\(449\) 7997.79 2348.36i 0.840621 0.246829i 0.167048 0.985949i \(-0.446577\pi\)
0.673574 + 0.739120i \(0.264758\pi\)
\(450\) −186.876 + 409.202i −0.0195765 + 0.0428666i
\(451\) 1049.21 + 7297.45i 0.109547 + 0.761915i
\(452\) −4819.82 5562.37i −0.501560 0.578831i
\(453\) −112.461 246.255i −0.0116642 0.0255410i
\(454\) 9717.95 6245.34i 1.00459 0.645614i
\(455\) 1452.97 10105.6i 0.149706 1.04123i
\(456\) 2588.16 + 1663.31i 0.265793 + 0.170815i
\(457\) −9977.81 + 11515.0i −1.02132 + 1.17866i −0.0375363 + 0.999295i \(0.511951\pi\)
−0.983782 + 0.179369i \(0.942594\pi\)
\(458\) −5024.63 1475.37i −0.512632 0.150522i
\(459\) 9991.40 1.01603
\(460\) 1401.18 1703.97i 0.142022 0.172713i
\(461\) 14592.2 1.47425 0.737124 0.675757i \(-0.236183\pi\)
0.737124 + 0.675757i \(0.236183\pi\)
\(462\) −3832.16 1125.22i −0.385905 0.113312i
\(463\) −7083.73 + 8175.06i −0.711034 + 0.820577i −0.990199 0.139666i \(-0.955397\pi\)
0.279165 + 0.960243i \(0.409942\pi\)
\(464\) −1716.23 1102.95i −0.171711 0.110352i
\(465\) 432.283 3006.60i 0.0431111 0.299844i
\(466\) −4806.83 + 3089.16i −0.477837 + 0.307087i
\(467\) −2400.55 5256.48i −0.237868 0.520859i 0.752620 0.658455i \(-0.228790\pi\)
−0.990488 + 0.137596i \(0.956062\pi\)
\(468\) −2099.63 2423.10i −0.207384 0.239333i
\(469\) −636.116 4424.28i −0.0626292 0.435596i
\(470\) 2416.11 5290.54i 0.237121 0.519222i
\(471\) 18733.9 5500.77i 1.83272 0.538136i
\(472\) −5819.40 + 1708.73i −0.567499 + 0.166633i
\(473\) 2842.64 6224.52i 0.276331 0.605081i
\(474\) −1329.18 9244.62i −0.128800 0.895822i
\(475\) −1049.37 1211.04i −0.101365 0.116982i
\(476\) −3522.86 7713.98i −0.339222 0.742794i
\(477\) −977.440 + 628.162i −0.0938237 + 0.0602968i
\(478\) 547.373 3807.06i 0.0523771 0.364291i
\(479\) 6641.22 + 4268.05i 0.633497 + 0.407124i 0.817603 0.575783i \(-0.195303\pi\)
−0.184106 + 0.982906i \(0.558939\pi\)
\(480\) −628.641 + 725.490i −0.0597779 + 0.0689874i
\(481\) 17923.6 + 5262.86i 1.69906 + 0.498889i
\(482\) 3619.03 0.341997
\(483\) 14659.0 + 3896.37i 1.38097 + 0.367062i
\(484\) −4480.41 −0.420775
\(485\) −2669.17 783.740i −0.249899 0.0733769i
\(486\) 3181.67 3671.84i 0.296962 0.342712i
\(487\) 11177.8 + 7183.54i 1.04007 + 0.668414i 0.945005 0.327057i \(-0.106057\pi\)
0.0950673 + 0.995471i \(0.469693\pi\)
\(488\) −563.810 + 3921.39i −0.0523002 + 0.363756i
\(489\) 1018.20 654.360i 0.0941610 0.0605136i
\(490\) −757.293 1658.24i −0.0698184 0.152881i
\(491\) −594.137 685.670i −0.0546090 0.0630221i 0.727788 0.685802i \(-0.240549\pi\)
−0.782397 + 0.622780i \(0.786003\pi\)
\(492\) 1733.90 + 12059.5i 0.158882 + 1.10505i
\(493\) −4899.59 + 10728.6i −0.447600 + 0.980106i
\(494\) 10958.3 3217.65i 0.998052 0.293055i
\(495\) 626.829 184.054i 0.0569169 0.0167123i
\(496\) 673.003 1473.67i 0.0609248 0.133407i
\(497\) −3233.32 22488.2i −0.291819 2.02965i
\(498\) −4645.71 5361.43i −0.418030 0.482433i
\(499\) 6765.97 + 14815.4i 0.606986 + 1.32911i 0.924616 + 0.380900i \(0.124386\pi\)
−0.317630 + 0.948215i \(0.602887\pi\)
\(500\) 420.627 270.320i 0.0376220 0.0241782i
\(501\) 2122.08 14759.4i 0.189237 1.31617i
\(502\) −671.370 431.463i −0.0596907 0.0383609i
\(503\) 6470.51 7467.37i 0.573570 0.661935i −0.392639 0.919692i \(-0.628438\pi\)
0.966210 + 0.257757i \(0.0829834\pi\)
\(504\) −1582.84 464.763i −0.139891 0.0410758i
\(505\) −1252.36 −0.110355
\(506\) −3202.67 + 82.6657i −0.281376 + 0.00726272i
\(507\) −34439.5 −3.01679
\(508\) −4486.97 1317.49i −0.391884 0.115067i
\(509\) −3149.00 + 3634.14i −0.274218 + 0.316464i −0.876108 0.482114i \(-0.839869\pi\)
0.601890 + 0.798579i \(0.294414\pi\)
\(510\) 4668.86 + 3000.49i 0.405373 + 0.260518i
\(511\) 274.760 1911.00i 0.0237860 0.165436i
\(512\) −430.722 + 276.808i −0.0371785 + 0.0238932i
\(513\) 2876.06 + 6297.70i 0.247527 + 0.542008i
\(514\) 1999.23 + 2307.24i 0.171561 + 0.197992i
\(515\) −517.948 3602.41i −0.0443175 0.308235i
\(516\) 4697.65 10286.4i 0.400780 0.877586i
\(517\) −8104.21 + 2379.61i −0.689406 + 0.202428i
\(518\) 9222.04 2707.84i 0.782227 0.229682i
\(519\) −4731.99 + 10361.6i −0.400214 + 0.876348i
\(520\) 507.157 + 3527.35i 0.0427698 + 0.297471i
\(521\) 7768.83 + 8965.71i 0.653280 + 0.753925i 0.981664 0.190619i \(-0.0610495\pi\)
−0.328384 + 0.944544i \(0.606504\pi\)
\(522\) 953.108 + 2087.02i 0.0799165 + 0.174993i
\(523\) −11582.2 + 7443.41i −0.968361 + 0.622328i −0.926300 0.376787i \(-0.877029\pi\)
−0.0420611 + 0.999115i \(0.513392\pi\)
\(524\) −103.370 + 718.954i −0.00861782 + 0.0599383i
\(525\) 2892.03 + 1858.60i 0.240417 + 0.154506i
\(526\) −2881.89 + 3325.87i −0.238890 + 0.275694i
\(527\) −8986.83 2638.77i −0.742832 0.218115i
\(528\) 1394.08 0.114905
\(529\) 12150.8 627.678i 0.998668 0.0515886i
\(530\) 1291.40 0.105839
\(531\) 6544.71 + 1921.70i 0.534870 + 0.157052i
\(532\) 3848.15 4441.00i 0.313606 0.361920i
\(533\) 38048.5 + 24452.3i 3.09206 + 1.98714i
\(534\) −2648.42 + 18420.2i −0.214623 + 1.49273i
\(535\) −3137.81 + 2016.55i −0.253569 + 0.162959i
\(536\) 648.120 + 1419.19i 0.0522286 + 0.114365i
\(537\) −9950.77 11483.8i −0.799642 0.922836i
\(538\) −540.448 3758.90i −0.0433092 0.301222i
\(539\) −1099.76 + 2408.15i −0.0878853 + 0.192442i
\(540\) −2072.76 + 608.616i −0.165180 + 0.0485012i
\(541\) −16101.4 + 4727.81i −1.27958 + 0.375720i −0.849749 0.527187i \(-0.823247\pi\)
−0.429835 + 0.902907i \(0.641428\pi\)
\(542\) 2901.85 6354.16i 0.229972 0.503569i
\(543\) −2065.36 14364.9i −0.163228 1.13528i
\(544\) 1938.42 + 2237.06i 0.152774 + 0.176311i
\(545\) 100.190 + 219.386i 0.00787462 + 0.0172430i
\(546\) −20612.3 + 13246.7i −1.61561 + 1.03829i
\(547\) 3183.74 22143.4i 0.248861 1.73086i −0.355958 0.934502i \(-0.615846\pi\)
0.604819 0.796363i \(-0.293245\pi\)
\(548\) 3527.18 + 2266.78i 0.274952 + 0.176701i
\(549\) 2917.72 3367.23i 0.226822 0.261767i
\(550\) −696.702 204.570i −0.0540136 0.0158598i
\(551\) −8172.74 −0.631888
\(552\) −5292.62 + 136.610i −0.408096 + 0.0105336i
\(553\) −17839.0 −1.37178
\(554\) −6467.72 1899.09i −0.496005 0.145640i
\(555\) −4119.13 + 4753.73i −0.315040 + 0.363576i
\(556\) 1564.14 + 1005.21i 0.119306 + 0.0766735i
\(557\) −2285.57 + 15896.5i −0.173865 + 1.20926i 0.696758 + 0.717307i \(0.254625\pi\)
−0.870623 + 0.491951i \(0.836284\pi\)
\(558\) −1532.76 + 985.043i −0.116285 + 0.0747316i
\(559\) −17438.9 38185.8i −1.31948 2.88925i
\(560\) 1200.72 + 1385.70i 0.0906066 + 0.104566i
\(561\) −1147.01 7977.66i −0.0863227 0.600387i
\(562\) 344.036 753.334i 0.0258226 0.0565435i
\(563\) −13669.1 + 4013.62i −1.02324 + 0.300451i −0.749960 0.661483i \(-0.769927\pi\)
−0.273282 + 0.961934i \(0.588109\pi\)
\(564\) −13392.7 + 3932.46i −0.999886 + 0.293593i
\(565\) 3821.85 8368.69i 0.284578 0.623139i
\(566\) 1281.28 + 8911.50i 0.0951524 + 0.661799i
\(567\) −13372.6 15432.8i −0.990472 1.14307i
\(568\) 3294.34 + 7213.59i 0.243358 + 0.532879i
\(569\) −21133.3 + 13581.5i −1.55703 + 1.00065i −0.573652 + 0.819099i \(0.694474\pi\)
−0.983382 + 0.181547i \(0.941890\pi\)
\(570\) −547.298 + 3806.54i −0.0402172 + 0.279716i
\(571\) −4155.10 2670.32i −0.304528 0.195708i 0.379447 0.925213i \(-0.376114\pi\)
−0.683976 + 0.729505i \(0.739751\pi\)
\(572\) 3389.04 3911.16i 0.247732 0.285898i
\(573\) −801.639 235.383i −0.0584450 0.0171610i
\(574\) 23270.8 1.69217
\(575\) 2665.07 + 708.376i 0.193289 + 0.0513762i
\(576\) 575.814 0.0416532
\(577\) 22465.0 + 6596.31i 1.62085 + 0.475924i 0.961246 0.275691i \(-0.0889066\pi\)
0.659602 + 0.751615i \(0.270725\pi\)
\(578\) 4772.07 5507.26i 0.343412 0.396318i
\(579\) 6159.50 + 3958.47i 0.442107 + 0.284125i
\(580\) 362.918 2524.15i 0.0259816 0.180706i
\(581\) −11399.1 + 7325.73i −0.813963 + 0.523103i
\(582\) 2773.39 + 6072.87i 0.197527 + 0.432524i
\(583\) −1228.13 1417.34i −0.0872454 0.100687i
\(584\) 95.9049 + 667.033i 0.00679550 + 0.0472637i
\(585\) 1664.89 3645.61i 0.117666 0.257653i
\(586\) −801.948 + 235.473i −0.0565327 + 0.0165995i
\(587\) −4169.41 + 1224.25i −0.293168 + 0.0860820i −0.425010 0.905189i \(-0.639729\pi\)
0.131841 + 0.991271i \(0.457911\pi\)
\(588\) −1817.43 + 3979.62i −0.127465 + 0.279110i
\(589\) −923.644 6424.08i −0.0646147 0.449405i
\(590\) −4964.73 5729.60i −0.346431 0.399803i
\(591\) 9687.63 + 21213.0i 0.674274 + 1.47645i
\(592\) −2822.28 + 1813.77i −0.195937 + 0.125921i
\(593\) −924.858 + 6432.53i −0.0640462 + 0.445451i 0.932414 + 0.361391i \(0.117698\pi\)
−0.996461 + 0.0840603i \(0.973211\pi\)
\(594\) 2639.18 + 1696.10i 0.182301 + 0.117158i
\(595\) 6941.80 8011.26i 0.478296 0.551983i
\(596\) 11981.0 + 3517.95i 0.823426 + 0.241780i
\(597\) −8961.89 −0.614381
\(598\) −12483.2 + 15180.8i −0.853637 + 1.03811i
\(599\) −751.653 −0.0512717 −0.0256358 0.999671i \(-0.508161\pi\)
−0.0256358 + 0.999671i \(0.508161\pi\)
\(600\) −1151.35 338.065i −0.0783391 0.0230024i
\(601\) 6337.82 7314.24i 0.430159 0.496429i −0.498746 0.866748i \(-0.666206\pi\)
0.928905 + 0.370319i \(0.120752\pi\)
\(602\) −18170.4 11677.4i −1.23018 0.790590i
\(603\) 249.710 1736.77i 0.0168640 0.117291i
\(604\) 151.835 97.5785i 0.0102286 0.00657353i
\(605\) −2326.54 5094.41i −0.156343 0.342342i
\(606\) 1968.21 + 2271.43i 0.131935 + 0.152262i
\(607\) −1716.05 11935.4i −0.114749 0.798095i −0.963193 0.268810i \(-0.913370\pi\)
0.848444 0.529284i \(-0.177540\pi\)
\(608\) −852.063 + 1865.76i −0.0568351 + 0.124451i
\(609\) 16823.1 4939.71i 1.11939 0.328682i
\(610\) −4751.54 + 1395.18i −0.315384 + 0.0926051i
\(611\) −21525.2 + 47133.7i −1.42523 + 3.12083i
\(612\) −473.764 3295.10i −0.0312921 0.217641i
\(613\) −6364.95 7345.54i −0.419377 0.483986i 0.506270 0.862375i \(-0.331024\pi\)
−0.925647 + 0.378388i \(0.876478\pi\)
\(614\) −3834.98 8397.44i −0.252064 0.551943i
\(615\) −12811.8 + 8233.63i −0.840034 + 0.539857i
\(616\) 378.947 2635.63i 0.0247860 0.172391i
\(617\) 5166.24 + 3320.14i 0.337090 + 0.216635i 0.698224 0.715879i \(-0.253974\pi\)
−0.361134 + 0.932514i \(0.617610\pi\)
\(618\) −5719.77 + 6600.97i −0.372303 + 0.429660i
\(619\) 8135.06 + 2388.67i 0.528232 + 0.155103i 0.534965 0.844874i \(-0.320325\pi\)
−0.00673260 + 0.999977i \(0.502143\pi\)
\(620\) 2025.09 0.131177
\(621\) −10185.8 6180.59i −0.658200 0.399385i
\(622\) −18736.4 −1.20782
\(623\) 34105.0 + 10014.1i 2.19324 + 0.643993i
\(624\) 5600.60 6463.44i 0.359301 0.414655i
\(625\) 525.783 + 337.901i 0.0336501 + 0.0216256i
\(626\) 511.541 3557.85i 0.0326602 0.227157i
\(627\) 4698.24 3019.38i 0.299250 0.192316i
\(628\) 5407.48 + 11840.7i 0.343602 + 0.752383i
\(629\) 12701.4 + 14658.2i 0.805148 + 0.929190i
\(630\) −293.464 2041.09i −0.0185586 0.129078i
\(631\) −481.687 + 1054.75i −0.0303893 + 0.0665434i −0.924218 0.381865i \(-0.875282\pi\)
0.893829 + 0.448409i \(0.148009\pi\)
\(632\) 5974.48 1754.27i 0.376032 0.110413i
\(633\) 13844.2 4065.02i 0.869285 0.255245i
\(634\) −871.409 + 1908.12i −0.0545868 + 0.119528i
\(635\) −831.900 5785.99i −0.0519889 0.361591i
\(636\) −2029.57 2342.25i −0.126537 0.146032i
\(637\) 6746.77 + 14773.4i 0.419650 + 0.918905i
\(638\) −3115.44 + 2002.17i −0.193325 + 0.124243i
\(639\) 1269.25 8827.84i 0.0785772 0.546516i
\(640\) −538.402 346.010i −0.0332535 0.0213707i
\(641\) 283.116 326.733i 0.0174452 0.0201329i −0.746960 0.664869i \(-0.768487\pi\)
0.764405 + 0.644736i \(0.223033\pi\)
\(642\) 8588.85 + 2521.91i 0.527998 + 0.155034i
\(643\) 21177.2 1.29883 0.649413 0.760436i \(-0.275015\pi\)
0.649413 + 0.760436i \(0.275015\pi\)
\(644\) −1180.39 + 10043.3i −0.0722267 + 0.614535i
\(645\) 14135.4 0.862916
\(646\) 11377.9 + 3340.85i 0.692967 + 0.203474i
\(647\) −4591.37 + 5298.72i −0.278988 + 0.321970i −0.877899 0.478846i \(-0.841055\pi\)
0.598910 + 0.800816i \(0.295601\pi\)
\(648\) 5996.28 + 3853.57i 0.363512 + 0.233615i
\(649\) −1566.87 + 10897.8i −0.0947687 + 0.659131i
\(650\) −3747.39 + 2408.30i −0.226130 + 0.145325i
\(651\) 5784.07 + 12665.3i 0.348226 + 0.762510i
\(652\) 528.424 + 609.834i 0.0317403 + 0.0366303i
\(653\) 51.5519 + 358.551i 0.00308940 + 0.0214873i 0.991308 0.131563i \(-0.0419995\pi\)
−0.988218 + 0.153050i \(0.951090\pi\)
\(654\) 240.446 526.504i 0.0143765 0.0314800i
\(655\) −871.156 + 255.795i −0.0519678 + 0.0152591i
\(656\) −7793.65 + 2288.42i −0.463858 + 0.136201i
\(657\) 314.836 689.395i 0.0186955 0.0409374i
\(658\) 3794.17 + 26389.0i 0.224791 + 1.56345i
\(659\) −3018.55 3483.59i −0.178431 0.205920i 0.659488 0.751715i \(-0.270773\pi\)
−0.837919 + 0.545795i \(0.816228\pi\)
\(660\) 723.904 + 1585.13i 0.0426938 + 0.0934865i
\(661\) −17327.5 + 11135.7i −1.01961 + 0.655265i −0.939863 0.341550i \(-0.889048\pi\)
−0.0797483 + 0.996815i \(0.525412\pi\)
\(662\) −1976.56 + 13747.3i −0.116044 + 0.807106i
\(663\) −41595.1 26731.6i −2.43653 1.56587i
\(664\) 3097.26 3574.43i 0.181020 0.208908i
\(665\) 7047.81 + 2069.42i 0.410981 + 0.120675i
\(666\) 3772.98 0.219520
\(667\) 11631.5 7906.52i 0.675225 0.458983i
\(668\) 9941.18 0.575802
\(669\) −7265.83 2133.44i −0.419900 0.123294i
\(670\) −1277.12 + 1473.88i −0.0736411 + 0.0849863i
\(671\) 6049.99 + 3888.09i 0.348074 + 0.223693i
\(672\) 626.234 4355.55i 0.0359487 0.250028i
\(673\) 24288.2 15609.1i 1.39115 0.894036i 0.391489 0.920183i \(-0.371960\pi\)
0.999658 + 0.0261464i \(0.00832360\pi\)
\(674\) −8306.71 18189.2i −0.474722 1.03950i
\(675\) −1768.34 2040.77i −0.100835 0.116369i
\(676\) −3267.63 22726.9i −0.185914 1.29306i
\(677\) 3961.21 8673.84i 0.224877 0.492412i −0.763240 0.646115i \(-0.776393\pi\)
0.988117 + 0.153703i \(0.0491199\pi\)
\(678\) −21184.9 + 6220.46i −1.20000 + 0.352353i
\(679\) 12235.2 3592.57i 0.691520 0.203049i
\(680\) −1537.06 + 3365.70i −0.0866820 + 0.189807i
\(681\) −4931.75 34301.1i −0.277511 1.93013i
\(682\) −1925.88 2222.58i −0.108131 0.124790i
\(683\) −8125.74 17792.9i −0.455231 0.996817i −0.988549 0.150902i \(-0.951782\pi\)
0.533317 0.845915i \(-0.320945\pi\)
\(684\) 1940.57 1247.13i 0.108479 0.0697150i
\(685\) −745.865 + 5187.61i −0.0416030 + 0.289355i
\(686\) −6196.99 3982.57i −0.344901 0.221655i
\(687\) −10287.6 + 11872.6i −0.571321 + 0.659339i
\(688\) 7233.80 + 2124.03i 0.400852 + 0.117701i
\(689\) −11505.2 −0.636157
\(690\) −2903.62 5946.98i −0.160202 0.328113i
\(691\) −15197.7 −0.836683 −0.418342 0.908290i \(-0.637389\pi\)
−0.418342 + 0.908290i \(0.637389\pi\)
\(692\) −7286.68 2139.56i −0.400286 0.117535i
\(693\) −1961.05 + 2263.17i −0.107495 + 0.124056i
\(694\) 14932.4 + 9596.50i 0.816755 + 0.524897i
\(695\) −330.757 + 2300.47i −0.0180523 + 0.125556i
\(696\) −5148.47 + 3308.72i −0.280391 + 0.180197i
\(697\) 19507.9 + 42716.4i 1.06014 + 2.32138i
\(698\) −9232.09 10654.4i −0.500630 0.577758i
\(699\) 2439.41 + 16966.5i 0.131999 + 0.918071i
\(700\) −952.105 + 2084.82i −0.0514089 + 0.112570i
\(701\) −2035.25 + 597.602i −0.109658 + 0.0321984i −0.336101 0.941826i \(-0.609108\pi\)
0.226443 + 0.974024i \(0.427290\pi\)
\(702\) 18466.3 5422.20i 0.992830 0.291521i
\(703\) −5583.09 + 12225.3i −0.299531 + 0.655881i
\(704\) 132.271 + 919.967i 0.00708119 + 0.0492508i
\(705\) −11425.8 13186.1i −0.610384 0.704420i
\(706\) −3130.63 6855.12i −0.166888 0.365433i
\(707\) 4829.34 3103.63i 0.256897 0.165097i
\(708\) −2589.35 + 18009.3i −0.137449 + 0.955976i
\(709\) 9631.24 + 6189.62i 0.510168 + 0.327865i 0.770272 0.637716i \(-0.220121\pi\)
−0.260104 + 0.965581i \(0.583757\pi\)
\(710\) −6491.49 + 7491.58i −0.343129 + 0.395992i
\(711\) −6719.12 1972.91i −0.354412 0.104065i
\(712\) −12406.9 −0.653046
\(713\) 7529.37 + 8249.28i 0.395480 + 0.433293i
\(714\) −25440.0 −1.33343
\(715\) 6206.96 + 1822.53i 0.324654 + 0.0953269i
\(716\) 6634.12 7656.18i 0.346269 0.399616i
\(717\) −9706.53 6238.01i −0.505574 0.324913i
\(718\) 675.906 4701.03i 0.0351318 0.244347i
\(719\) −14452.0 + 9287.76i −0.749611 + 0.481746i −0.858823 0.512273i \(-0.828804\pi\)
0.109212 + 0.994018i \(0.465167\pi\)
\(720\) 299.002 + 654.723i 0.0154766 + 0.0338890i
\(721\) 10924.9 + 12608.0i 0.564307 + 0.651244i
\(722\) −782.884 5445.08i −0.0403545 0.280671i
\(723\) 4510.02 9875.57i 0.231991 0.507989i
\(724\) 9283.52 2725.89i 0.476546 0.139927i
\(725\) 3058.51 898.059i 0.156676 0.0460043i
\(726\) −5583.47 + 12226.1i −0.285430 + 0.625003i
\(727\) −557.885 3880.18i −0.0284606 0.197947i 0.970630 0.240575i \(-0.0773361\pi\)
−0.999091 + 0.0426279i \(0.986427\pi\)
\(728\) −10697.3 12345.3i −0.544599 0.628501i
\(729\) 3938.65 + 8624.44i 0.200104 + 0.438167i
\(730\) −708.643 + 455.417i −0.0359288 + 0.0230901i
\(731\) 6203.04 43143.1i 0.313855 2.18291i
\(732\) 9998.00 + 6425.33i 0.504832 + 0.324436i
\(733\) −4370.33 + 5043.62i −0.220221 + 0.254148i −0.855100 0.518463i \(-0.826504\pi\)
0.634879 + 0.772611i \(0.281050\pi\)
\(734\) −6072.58 1783.07i −0.305372 0.0896652i
\(735\) −5468.72 −0.274445
\(736\) −592.316 3479.68i −0.0296645 0.174270i
\(737\) 2832.17 0.141552
\(738\) 8765.02 + 2573.64i 0.437188 + 0.128370i
\(739\) 20174.7 23282.9i 1.00425 1.15896i 0.0169858 0.999856i \(-0.494593\pi\)
0.987261 0.159107i \(-0.0508615\pi\)
\(740\) −3527.84 2267.21i −0.175252 0.112627i
\(741\) 4875.91 33912.7i 0.241729 1.68126i
\(742\) −4979.90 + 3200.39i −0.246385 + 0.158342i
\(743\) −10862.9 23786.5i −0.536370 1.17449i −0.962862 0.269994i \(-0.912978\pi\)
0.426492 0.904491i \(-0.359749\pi\)
\(744\) −3182.64 3672.96i −0.156829 0.180991i
\(745\) 2221.33 + 15449.7i 0.109239 + 0.759775i
\(746\) 3278.12 7178.08i 0.160885 0.352290i
\(747\) −5103.68 + 1498.57i −0.249978 + 0.0734002i
\(748\) 5155.69 1513.85i 0.252020 0.0739997i
\(749\) 7102.55 15552.4i 0.346491 0.758709i
\(750\) −213.464 1484.67i −0.0103928 0.0722834i
\(751\) −3044.11 3513.09i −0.147911 0.170698i 0.676959 0.736021i \(-0.263297\pi\)
−0.824870 + 0.565322i \(0.808752\pi\)
\(752\) −3865.77 8464.86i −0.187460 0.410481i
\(753\) −2014.03 + 1294.34i −0.0974705 + 0.0626405i
\(754\) −3233.26 + 22487.8i −0.156165 + 1.08615i
\(755\) 189.794 + 121.973i 0.00914875 + 0.00587955i
\(756\) 6484.68 7483.71i 0.311965 0.360027i
\(757\) 14612.2 + 4290.54i 0.701572 + 0.206000i 0.613016 0.790071i \(-0.289956\pi\)
0.0885569 + 0.996071i \(0.471774\pi\)
\(758\) −8834.66 −0.423337
\(759\) −3765.57 + 8842.42i −0.180081 + 0.422872i
\(760\) −2563.89 −0.122371
\(761\) 799.488 + 234.751i 0.0380833 + 0.0111823i 0.300719 0.953713i \(-0.402773\pi\)
−0.262635 + 0.964895i \(0.584592\pi\)
\(762\) −9186.79 + 10602.1i −0.436748 + 0.504034i
\(763\) −930.041 597.701i −0.0441281 0.0283594i
\(764\) 79.2709 551.341i 0.00375382 0.0261084i
\(765\) 3500.65 2249.73i 0.165446 0.106326i
\(766\) −930.546 2037.61i −0.0438929 0.0961121i
\(767\) 44231.1 + 51045.4i 2.08226 + 2.40305i
\(768\) 218.587 + 1520.30i 0.0102703 + 0.0714313i
\(769\) −1301.91 + 2850.78i −0.0610507 + 0.133682i −0.937698 0.347451i \(-0.887047\pi\)
0.876648 + 0.481133i \(0.159775\pi\)
\(770\) 3193.60 937.724i 0.149466 0.0438873i
\(771\) 8787.40 2580.21i 0.410467 0.120524i