Properties

Label 403.2.bl.b.16.14
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.14
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.654441 - 0.291376i) q^{2} +(0.0273063 - 0.259802i) q^{3} +(-0.994868 - 1.10491i) q^{4} +4.00393 q^{5} +(-0.0935704 + 0.162069i) q^{6} +(0.155298 + 0.172476i) q^{7} +(0.771881 + 2.37561i) q^{8} +(2.86769 + 0.609547i) q^{9} +O(q^{10})\) \(q+(-0.654441 - 0.291376i) q^{2} +(0.0273063 - 0.259802i) q^{3} +(-0.994868 - 1.10491i) q^{4} +4.00393 q^{5} +(-0.0935704 + 0.162069i) q^{6} +(0.155298 + 0.172476i) q^{7} +(0.771881 + 2.37561i) q^{8} +(2.86769 + 0.609547i) q^{9} +(-2.62034 - 1.16665i) q^{10} +(1.14900 - 0.244229i) q^{11} +(-0.314225 + 0.228298i) q^{12} +(-3.10385 + 1.83469i) q^{13} +(-0.0513780 - 0.158125i) q^{14} +(0.109333 - 1.04023i) q^{15} +(-0.123784 + 1.17772i) q^{16} +(-0.0529109 - 0.0112466i) q^{17} +(-1.69913 - 1.23449i) q^{18} +(0.263694 + 2.50888i) q^{19} +(-3.98338 - 4.42400i) q^{20} +(0.0490502 - 0.0356370i) q^{21} +(-0.823118 - 0.174959i) q^{22} +(5.76608 - 6.40388i) q^{23} +(0.638265 - 0.135667i) q^{24} +11.0315 q^{25} +(2.56587 - 0.296307i) q^{26} +(0.478844 - 1.47373i) q^{27} +(0.0360698 - 0.343181i) q^{28} +(-3.71469 - 1.65389i) q^{29} +(-0.374649 + 0.648912i) q^{30} +(-5.56635 + 0.125521i) q^{31} +(2.92203 - 5.06110i) q^{32} +(-0.0320760 - 0.305183i) q^{33} +(0.0313501 + 0.0227772i) q^{34} +(0.621802 + 0.690581i) q^{35} +(-2.17948 - 3.77497i) q^{36} +(0.982029 + 1.70092i) q^{37} +(0.558454 - 1.71875i) q^{38} +(0.391901 + 0.856486i) q^{39} +(3.09056 + 9.51176i) q^{40} +(0.282052 + 0.125578i) q^{41} +(-0.0424842 + 0.00903029i) q^{42} +(-0.969141 - 9.22076i) q^{43} +(-1.41296 - 1.02658i) q^{44} +(11.4820 + 2.44058i) q^{45} +(-5.63949 + 2.51086i) q^{46} +(3.22245 + 2.34125i) q^{47} +(0.302595 + 0.0643185i) q^{48} +(0.726069 - 6.90808i) q^{49} +(-7.21944 - 3.21430i) q^{50} +(-0.00436668 + 0.0134393i) q^{51} +(5.11510 + 1.60422i) q^{52} +(2.30626 + 7.09795i) q^{53} +(-0.742784 + 0.824946i) q^{54} +(4.60054 - 0.977874i) q^{55} +(-0.289863 + 0.502057i) q^{56} +0.659012 q^{57} +(1.94914 + 2.16474i) q^{58} +(-9.43085 + 4.19888i) q^{59} +(-1.25813 + 0.914088i) q^{60} +(-7.02059 + 12.1600i) q^{61} +(3.67942 + 1.53975i) q^{62} +(0.340214 + 0.589268i) q^{63} +(-1.47089 + 1.06866i) q^{64} +(-12.4276 + 7.34597i) q^{65} +(-0.0679310 + 0.209070i) q^{66} +(-4.69238 - 8.12743i) q^{67} +(0.0402129 + 0.0696508i) q^{68} +(-1.50629 - 1.67291i) q^{69} +(-0.205714 - 0.633122i) q^{70} +(-6.05357 - 1.28673i) q^{71} +(0.765475 + 7.28300i) q^{72} +(1.31037 - 4.03290i) q^{73} +(-0.147072 - 1.39929i) q^{74} +(0.301228 - 2.86600i) q^{75} +(2.50975 - 2.78736i) q^{76} +(0.220561 + 0.160247i) q^{77} +(-0.00691679 - 0.674710i) q^{78} +(-3.84925 - 11.8468i) q^{79} +(-0.495621 + 4.71552i) q^{80} +(7.66508 + 3.41271i) q^{81} +(-0.147996 - 0.164366i) q^{82} +(-7.56934 + 5.49945i) q^{83} +(-0.0881743 - 0.0187420i) q^{84} +(-0.211852 - 0.0450305i) q^{85} +(-2.05246 + 6.31683i) q^{86} +(-0.531118 + 0.919923i) q^{87} +(1.46709 + 2.54107i) q^{88} +(-1.04946 + 0.223070i) q^{89} +(-6.80319 - 4.94281i) q^{90} +(-0.798461 - 0.250416i) q^{91} -12.8122 q^{92} +(-0.119386 + 1.44958i) q^{93} +(-1.42672 - 2.47115i) q^{94} +(1.05581 + 10.0454i) q^{95} +(-1.23510 - 0.897349i) q^{96} +(12.3877 + 13.7580i) q^{97} +(-2.48802 + 4.30937i) q^{98} +3.44386 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.654441 0.291376i −0.462760 0.206034i 0.162095 0.986775i \(-0.448175\pi\)
−0.624854 + 0.780741i \(0.714842\pi\)
\(3\) 0.0273063 0.259802i 0.0157653 0.149997i −0.983807 0.179229i \(-0.942640\pi\)
0.999573 + 0.0292324i \(0.00930630\pi\)
\(4\) −0.994868 1.10491i −0.497434 0.552457i
\(5\) 4.00393 1.79061 0.895306 0.445451i \(-0.146957\pi\)
0.895306 + 0.445451i \(0.146957\pi\)
\(6\) −0.0935704 + 0.162069i −0.0382000 + 0.0661643i
\(7\) 0.155298 + 0.172476i 0.0586971 + 0.0651897i 0.771778 0.635892i \(-0.219368\pi\)
−0.713081 + 0.701082i \(0.752701\pi\)
\(8\) 0.771881 + 2.37561i 0.272901 + 0.839904i
\(9\) 2.86769 + 0.609547i 0.955897 + 0.203182i
\(10\) −2.62034 1.16665i −0.828623 0.368927i
\(11\) 1.14900 0.244229i 0.346438 0.0736377i −0.0314066 0.999507i \(-0.509999\pi\)
0.377845 + 0.925869i \(0.376665\pi\)
\(12\) −0.314225 + 0.228298i −0.0907089 + 0.0659039i
\(13\) −3.10385 + 1.83469i −0.860854 + 0.508851i
\(14\) −0.0513780 0.158125i −0.0137313 0.0422607i
\(15\) 0.109333 1.04023i 0.0282295 0.268586i
\(16\) −0.123784 + 1.17772i −0.0309459 + 0.294431i
\(17\) −0.0529109 0.0112466i −0.0128328 0.00272769i 0.201491 0.979490i \(-0.435421\pi\)
−0.214324 + 0.976763i \(0.568755\pi\)
\(18\) −1.69913 1.23449i −0.400488 0.290972i
\(19\) 0.263694 + 2.50888i 0.0604955 + 0.575576i 0.982220 + 0.187732i \(0.0601135\pi\)
−0.921725 + 0.387844i \(0.873220\pi\)
\(20\) −3.98338 4.42400i −0.890712 0.989236i
\(21\) 0.0490502 0.0356370i 0.0107036 0.00777664i
\(22\) −0.823118 0.174959i −0.175489 0.0373014i
\(23\) 5.76608 6.40388i 1.20231 1.33530i 0.274802 0.961501i \(-0.411388\pi\)
0.927509 0.373801i \(-0.121946\pi\)
\(24\) 0.638265 0.135667i 0.130285 0.0276930i
\(25\) 11.0315 2.20629
\(26\) 2.56587 0.296307i 0.503209 0.0581107i
\(27\) 0.478844 1.47373i 0.0921536 0.283619i
\(28\) 0.0360698 0.343181i 0.00681655 0.0648552i
\(29\) −3.71469 1.65389i −0.689801 0.307119i 0.0317347 0.999496i \(-0.489897\pi\)
−0.721536 + 0.692377i \(0.756564\pi\)
\(30\) −0.374649 + 0.648912i −0.0684013 + 0.118475i
\(31\) −5.56635 + 0.125521i −0.999746 + 0.0225443i
\(32\) 2.92203 5.06110i 0.516547 0.894685i
\(33\) −0.0320760 0.305183i −0.00558372 0.0531255i
\(34\) 0.0313501 + 0.0227772i 0.00537649 + 0.00390625i
\(35\) 0.621802 + 0.690581i 0.105104 + 0.116729i
\(36\) −2.17948 3.77497i −0.363247 0.629161i
\(37\) 0.982029 + 1.70092i 0.161445 + 0.279630i 0.935387 0.353626i \(-0.115051\pi\)
−0.773942 + 0.633256i \(0.781718\pi\)
\(38\) 0.558454 1.71875i 0.0905932 0.278817i
\(39\) 0.391901 + 0.856486i 0.0627544 + 0.137148i
\(40\) 3.09056 + 9.51176i 0.488660 + 1.50394i
\(41\) 0.282052 + 0.125578i 0.0440491 + 0.0196119i 0.428643 0.903474i \(-0.358992\pi\)
−0.384594 + 0.923086i \(0.625658\pi\)
\(42\) −0.0424842 + 0.00903029i −0.00655545 + 0.00139340i
\(43\) −0.969141 9.22076i −0.147793 1.40615i −0.777286 0.629147i \(-0.783404\pi\)
0.629493 0.777006i \(-0.283262\pi\)
\(44\) −1.41296 1.02658i −0.213012 0.154762i
\(45\) 11.4820 + 2.44058i 1.71164 + 0.363821i
\(46\) −5.63949 + 2.51086i −0.831498 + 0.370207i
\(47\) 3.22245 + 2.34125i 0.470043 + 0.341506i 0.797458 0.603374i \(-0.206178\pi\)
−0.327415 + 0.944881i \(0.606178\pi\)
\(48\) 0.302595 + 0.0643185i 0.0436758 + 0.00928358i
\(49\) 0.726069 6.90808i 0.103724 0.986869i
\(50\) −7.21944 3.21430i −1.02098 0.454571i
\(51\) −0.00436668 + 0.0134393i −0.000611458 + 0.00188187i
\(52\) 5.11510 + 1.60422i 0.709337 + 0.222465i
\(53\) 2.30626 + 7.09795i 0.316790 + 0.974978i 0.975012 + 0.222154i \(0.0713088\pi\)
−0.658222 + 0.752824i \(0.728691\pi\)
\(54\) −0.742784 + 0.824946i −0.101080 + 0.112261i
\(55\) 4.60054 0.977874i 0.620336 0.131857i
\(56\) −0.289863 + 0.502057i −0.0387346 + 0.0670902i
\(57\) 0.659012 0.0872883
\(58\) 1.94914 + 2.16474i 0.255935 + 0.284245i
\(59\) −9.43085 + 4.19888i −1.22779 + 0.546648i −0.915108 0.403209i \(-0.867895\pi\)
−0.312684 + 0.949857i \(0.601228\pi\)
\(60\) −1.25813 + 0.914088i −0.162424 + 0.118008i
\(61\) −7.02059 + 12.1600i −0.898895 + 1.55693i −0.0699857 + 0.997548i \(0.522295\pi\)
−0.828909 + 0.559383i \(0.811038\pi\)
\(62\) 3.67942 + 1.53975i 0.467287 + 0.195549i
\(63\) 0.340214 + 0.589268i 0.0428630 + 0.0742408i
\(64\) −1.47089 + 1.06866i −0.183861 + 0.133583i
\(65\) −12.4276 + 7.34597i −1.54146 + 0.911155i
\(66\) −0.0679310 + 0.209070i −0.00836173 + 0.0257348i
\(67\) −4.69238 8.12743i −0.573265 0.992924i −0.996228 0.0867771i \(-0.972343\pi\)
0.422963 0.906147i \(-0.360990\pi\)
\(68\) 0.0402129 + 0.0696508i 0.00487653 + 0.00844640i
\(69\) −1.50629 1.67291i −0.181336 0.201394i
\(70\) −0.205714 0.633122i −0.0245875 0.0756726i
\(71\) −6.05357 1.28673i −0.718427 0.152706i −0.165829 0.986154i \(-0.553030\pi\)
−0.552598 + 0.833448i \(0.686363\pi\)
\(72\) 0.765475 + 7.28300i 0.0902120 + 0.858310i
\(73\) 1.31037 4.03290i 0.153367 0.472015i −0.844625 0.535359i \(-0.820176\pi\)
0.997992 + 0.0633439i \(0.0201765\pi\)
\(74\) −0.147072 1.39929i −0.0170967 0.162665i
\(75\) 0.301228 2.86600i 0.0347829 0.330937i
\(76\) 2.50975 2.78736i 0.287888 0.319732i
\(77\) 0.220561 + 0.160247i 0.0251353 + 0.0182619i
\(78\) −0.00691679 0.674710i −0.000783172 0.0763959i
\(79\) −3.84925 11.8468i −0.433075 1.33287i −0.895047 0.445972i \(-0.852858\pi\)
0.461972 0.886894i \(-0.347142\pi\)
\(80\) −0.495621 + 4.71552i −0.0554122 + 0.527212i
\(81\) 7.66508 + 3.41271i 0.851675 + 0.379190i
\(82\) −0.147996 0.164366i −0.0163434 0.0181512i
\(83\) −7.56934 + 5.49945i −0.830843 + 0.603643i −0.919798 0.392393i \(-0.871647\pi\)
0.0889549 + 0.996036i \(0.471647\pi\)
\(84\) −0.0881743 0.0187420i −0.00962060 0.00204492i
\(85\) −0.211852 0.0450305i −0.0229785 0.00488424i
\(86\) −2.05246 + 6.31683i −0.221323 + 0.681161i
\(87\) −0.531118 + 0.919923i −0.0569418 + 0.0986261i
\(88\) 1.46709 + 2.54107i 0.156392 + 0.270879i
\(89\) −1.04946 + 0.223070i −0.111243 + 0.0236454i −0.263197 0.964742i \(-0.584777\pi\)
0.151954 + 0.988388i \(0.451443\pi\)
\(90\) −6.80319 4.94281i −0.717119 0.521017i
\(91\) −0.798461 0.250416i −0.0837015 0.0262508i
\(92\) −12.8122 −1.33577
\(93\) −0.119386 + 1.44958i −0.0123797 + 0.150314i
\(94\) −1.42672 2.47115i −0.147155 0.254880i
\(95\) 1.05581 + 10.0454i 0.108324 + 1.03063i
\(96\) −1.23510 0.897349i −0.126056 0.0915853i
\(97\) 12.3877 + 13.7580i 1.25778 + 1.39691i 0.882712 + 0.469914i \(0.155715\pi\)
0.375071 + 0.926996i \(0.377618\pi\)
\(98\) −2.48802 + 4.30937i −0.251328 + 0.435312i
\(99\) 3.44386 0.346121
\(100\) −10.9749 12.1888i −1.09749 1.21888i
\(101\) −8.10562 + 9.00221i −0.806540 + 0.895753i −0.996288 0.0860797i \(-0.972566\pi\)
0.189749 + 0.981833i \(0.439233\pi\)
\(102\) 0.00677361 0.00752286i 0.000670687 0.000744874i
\(103\) −3.70399 + 2.69111i −0.364965 + 0.265163i −0.755120 0.655586i \(-0.772421\pi\)
0.390155 + 0.920749i \(0.372421\pi\)
\(104\) −6.75431 5.95737i −0.662314 0.584169i
\(105\) 0.196393 0.142688i 0.0191660 0.0139249i
\(106\) 0.558858 5.31718i 0.0542811 0.516450i
\(107\) −4.64513 + 5.15894i −0.449061 + 0.498733i −0.924588 0.380968i \(-0.875591\pi\)
0.475527 + 0.879701i \(0.342257\pi\)
\(108\) −2.10473 + 0.937086i −0.202528 + 0.0901712i
\(109\) 11.9467 + 8.67979i 1.14429 + 0.831373i 0.987711 0.156293i \(-0.0499544\pi\)
0.156576 + 0.987666i \(0.449954\pi\)
\(110\) −3.29571 0.700524i −0.314233 0.0667924i
\(111\) 0.468719 0.208687i 0.0444889 0.0198077i
\(112\) −0.222352 + 0.161548i −0.0210103 + 0.0152649i
\(113\) −0.849731 0.943722i −0.0799360 0.0887779i 0.701850 0.712325i \(-0.252358\pi\)
−0.781786 + 0.623547i \(0.785691\pi\)
\(114\) −0.431284 0.192020i −0.0403935 0.0179843i
\(115\) 23.0870 25.6407i 2.15287 2.39101i
\(116\) 1.86823 + 5.74981i 0.173461 + 0.533857i
\(117\) −10.0192 + 3.36938i −0.926278 + 0.311499i
\(118\) 7.39539 0.680800
\(119\) −0.00627719 0.0108724i −0.000575429 0.000996672i
\(120\) 2.55557 0.543203i 0.233290 0.0495874i
\(121\) −8.78844 + 3.91286i −0.798949 + 0.355715i
\(122\) 8.13770 5.91238i 0.736753 0.535282i
\(123\) 0.0403271 0.0698486i 0.00363617 0.00629804i
\(124\) 5.67647 + 6.02546i 0.509762 + 0.541102i
\(125\) 24.1496 2.16000
\(126\) −0.0509515 0.484771i −0.00453912 0.0431869i
\(127\) 0.609532 5.79931i 0.0540872 0.514605i −0.933617 0.358272i \(-0.883366\pi\)
0.987704 0.156333i \(-0.0499673\pi\)
\(128\) −10.1587 + 2.15930i −0.897912 + 0.190857i
\(129\) −2.42204 −0.213248
\(130\) 10.2736 1.18639i 0.901053 0.104054i
\(131\) 1.95994 6.03209i 0.171241 0.527026i −0.828201 0.560432i \(-0.810635\pi\)
0.999442 + 0.0334056i \(0.0106353\pi\)
\(132\) −0.305289 + 0.339058i −0.0265720 + 0.0295112i
\(133\) −0.391769 + 0.435104i −0.0339707 + 0.0377283i
\(134\) 0.702745 + 6.68617i 0.0607079 + 0.577597i
\(135\) 1.91726 5.90071i 0.165011 0.507853i
\(136\) −0.0141235 0.134377i −0.00121108 0.0115227i
\(137\) 0.350438 0.156025i 0.0299399 0.0133301i −0.391712 0.920088i \(-0.628117\pi\)
0.421652 + 0.906758i \(0.361450\pi\)
\(138\) 0.498334 + 1.53371i 0.0424210 + 0.130558i
\(139\) −15.4408 + 6.87470i −1.30967 + 0.583105i −0.938443 0.345435i \(-0.887731\pi\)
−0.371232 + 0.928540i \(0.621065\pi\)
\(140\) 0.144421 1.37407i 0.0122058 0.116130i
\(141\) 0.696255 0.773269i 0.0586352 0.0651210i
\(142\) 3.58678 + 2.60595i 0.300996 + 0.218687i
\(143\) −3.11826 + 2.86612i −0.260762 + 0.239677i
\(144\) −1.07285 + 3.30190i −0.0894042 + 0.275158i
\(145\) −14.8734 6.62205i −1.23517 0.549932i
\(146\) −2.03265 + 2.25748i −0.168223 + 0.186831i
\(147\) −1.77491 0.377268i −0.146392 0.0311166i
\(148\) 0.902384 2.77725i 0.0741755 0.228289i
\(149\) 7.47089 12.9400i 0.612039 1.06008i −0.378857 0.925455i \(-0.623683\pi\)
0.990896 0.134628i \(-0.0429838\pi\)
\(150\) −1.03222 + 1.78785i −0.0842803 + 0.145978i
\(151\) −4.19905 + 12.9233i −0.341713 + 1.05169i 0.621606 + 0.783330i \(0.286480\pi\)
−0.963320 + 0.268356i \(0.913520\pi\)
\(152\) −5.75656 + 2.56299i −0.466919 + 0.207886i
\(153\) −0.144877 0.0645033i −0.0117126 0.00521479i
\(154\) −0.0976522 0.169139i −0.00786904 0.0136296i
\(155\) −22.2873 + 0.502578i −1.79016 + 0.0403681i
\(156\) 0.556453 1.28511i 0.0445519 0.102891i
\(157\) 4.21210 3.06027i 0.336162 0.244236i −0.406879 0.913482i \(-0.633383\pi\)
0.743041 + 0.669246i \(0.233383\pi\)
\(158\) −0.932757 + 8.87459i −0.0742062 + 0.706025i
\(159\) 1.90704 0.405353i 0.151238 0.0321466i
\(160\) 11.6996 20.2643i 0.924935 1.60203i
\(161\) 1.99997 0.157620
\(162\) −4.02196 4.46684i −0.315995 0.350948i
\(163\) 20.8292 + 4.42739i 1.63147 + 0.346780i 0.930466 0.366378i \(-0.119402\pi\)
0.701004 + 0.713158i \(0.252736\pi\)
\(164\) −0.141852 0.436576i −0.0110768 0.0340909i
\(165\) −0.128430 1.22193i −0.00999827 0.0951272i
\(166\) 6.55609 1.39354i 0.508851 0.108160i
\(167\) −1.64121 0.730713i −0.127001 0.0565443i 0.342253 0.939608i \(-0.388810\pi\)
−0.469253 + 0.883064i \(0.655477\pi\)
\(168\) 0.122520 + 0.0890163i 0.00945266 + 0.00686776i
\(169\) 6.26783 11.3892i 0.482141 0.876094i
\(170\) 0.125524 + 0.0911982i 0.00962722 + 0.00699458i
\(171\) −0.773086 + 7.35542i −0.0591193 + 0.562483i
\(172\) −9.22397 + 10.2443i −0.703321 + 0.781118i
\(173\) 1.06541 0.474351i 0.0810017 0.0360643i −0.365836 0.930679i \(-0.619217\pi\)
0.446838 + 0.894615i \(0.352550\pi\)
\(174\) 0.615629 0.447280i 0.0466707 0.0339082i
\(175\) 1.71316 + 1.90266i 0.129503 + 0.143828i
\(176\) 0.145406 + 1.38344i 0.0109604 + 0.104281i
\(177\) 0.833357 + 2.56481i 0.0626390 + 0.192783i
\(178\) 0.751808 + 0.159802i 0.0563504 + 0.0119776i
\(179\) 7.73110 1.64330i 0.577850 0.122826i 0.0902902 0.995916i \(-0.471221\pi\)
0.487559 + 0.873090i \(0.337887\pi\)
\(180\) −8.72648 15.1147i −0.650434 1.12658i
\(181\) −21.0970 −1.56812 −0.784062 0.620682i \(-0.786856\pi\)
−0.784062 + 0.620682i \(0.786856\pi\)
\(182\) 0.449580 + 0.396535i 0.0333251 + 0.0293931i
\(183\) 2.96749 + 2.15601i 0.219363 + 0.159377i
\(184\) 19.6638 + 8.75490i 1.44964 + 0.645420i
\(185\) 3.93198 + 6.81038i 0.289085 + 0.500709i
\(186\) 0.500502 0.913876i 0.0366986 0.0670086i
\(187\) −0.0635416 −0.00464662
\(188\) −0.619039 5.88976i −0.0451481 0.429555i
\(189\) 0.328546 0.146278i 0.0238982 0.0106402i
\(190\) 2.23601 6.88174i 0.162217 0.499254i
\(191\) −4.56689 + 7.91009i −0.330449 + 0.572354i −0.982600 0.185735i \(-0.940533\pi\)
0.652151 + 0.758089i \(0.273867\pi\)
\(192\) 0.237476 + 0.411320i 0.0171383 + 0.0296845i
\(193\) 12.7411 2.70821i 0.917126 0.194941i 0.274915 0.961469i \(-0.411350\pi\)
0.642212 + 0.766527i \(0.278017\pi\)
\(194\) −4.09830 12.6133i −0.294241 0.905579i
\(195\) 1.56915 + 3.42931i 0.112369 + 0.245578i
\(196\) −8.35517 + 6.07039i −0.596798 + 0.433599i
\(197\) −9.91776 + 2.10808i −0.706611 + 0.150195i −0.547181 0.837014i \(-0.684299\pi\)
−0.159430 + 0.987209i \(0.550966\pi\)
\(198\) −2.25380 1.00346i −0.160171 0.0713126i
\(199\) 7.58777 3.37829i 0.537883 0.239481i −0.119770 0.992802i \(-0.538216\pi\)
0.657653 + 0.753321i \(0.271549\pi\)
\(200\) 8.51498 + 26.2064i 0.602100 + 1.85307i
\(201\) −2.23966 + 0.997159i −0.157973 + 0.0703342i
\(202\) 7.92768 3.52963i 0.557789 0.248344i
\(203\) −0.291628 0.897539i −0.0204683 0.0629949i
\(204\) 0.0191935 0.00854549i 0.00134381 0.000598304i
\(205\) 1.12932 + 0.502804i 0.0788749 + 0.0351174i
\(206\) 3.20817 0.681917i 0.223524 0.0475114i
\(207\) 20.4388 14.8497i 1.42060 1.03212i
\(208\) −1.77655 3.88259i −0.123182 0.269209i
\(209\) 0.915725 + 2.81831i 0.0633420 + 0.194947i
\(210\) −0.170104 + 0.0361567i −0.0117383 + 0.00249505i
\(211\) 6.40803 + 11.0990i 0.441147 + 0.764089i 0.997775 0.0666728i \(-0.0212384\pi\)
−0.556628 + 0.830762i \(0.687905\pi\)
\(212\) 5.54819 9.60974i 0.381051 0.660000i
\(213\) −0.499595 + 1.53760i −0.0342317 + 0.105354i
\(214\) 4.54315 2.02274i 0.310563 0.138272i
\(215\) −3.88037 36.9193i −0.264639 2.51787i
\(216\) 3.87061 0.263362
\(217\) −0.886091 0.940567i −0.0601518 0.0638498i
\(218\) −5.28933 9.16139i −0.358239 0.620487i
\(219\) −1.01197 0.450560i −0.0683828 0.0304460i
\(220\) −5.65739 4.11034i −0.381421 0.277119i
\(221\) 0.184862 0.0621674i 0.0124351 0.00418183i
\(222\) −0.367555 −0.0246687
\(223\) −3.95747 6.85454i −0.265012 0.459014i 0.702555 0.711630i \(-0.252043\pi\)
−0.967567 + 0.252616i \(0.918709\pi\)
\(224\) 1.32670 0.281999i 0.0886440 0.0188419i
\(225\) 31.6348 + 6.72419i 2.10899 + 0.448279i
\(226\) 0.281121 + 0.865201i 0.0186999 + 0.0575523i
\(227\) −1.93713 18.4306i −0.128572 1.22328i −0.848486 0.529218i \(-0.822485\pi\)
0.719914 0.694063i \(-0.244181\pi\)
\(228\) −0.655630 0.728151i −0.0434202 0.0482230i
\(229\) 20.3117 14.7573i 1.34224 0.975192i 0.342879 0.939380i \(-0.388598\pi\)
0.999359 0.0358126i \(-0.0114019\pi\)
\(230\) −22.5801 + 10.0533i −1.48889 + 0.662897i
\(231\) 0.0476553 0.0529266i 0.00313549 0.00348231i
\(232\) 1.06168 10.1013i 0.0697030 0.663180i
\(233\) −9.62135 6.99032i −0.630315 0.457951i 0.226194 0.974082i \(-0.427372\pi\)
−0.856509 + 0.516131i \(0.827372\pi\)
\(234\) 7.53875 + 0.714301i 0.492823 + 0.0466953i
\(235\) 12.9025 + 9.37420i 0.841665 + 0.611505i
\(236\) 14.0219 + 6.24293i 0.912745 + 0.406380i
\(237\) −3.18293 + 0.676552i −0.206753 + 0.0439468i
\(238\) 0.000940091 0.00894437i 6.09371e−5 0.000579778i
\(239\) 4.43361 + 13.6452i 0.286786 + 0.882637i 0.985858 + 0.167585i \(0.0535970\pi\)
−0.699071 + 0.715052i \(0.746403\pi\)
\(240\) 1.21157 + 0.257527i 0.0782064 + 0.0166233i
\(241\) −11.0920 12.3189i −0.714496 0.793528i 0.271117 0.962546i \(-0.412607\pi\)
−0.985613 + 0.169018i \(0.945940\pi\)
\(242\) 6.89162 0.443010
\(243\) 3.42029 5.92412i 0.219412 0.380032i
\(244\) 20.4203 4.34048i 1.30728 0.277870i
\(245\) 2.90713 27.6595i 0.185730 1.76710i
\(246\) −0.0467439 + 0.0339614i −0.00298028 + 0.00216530i
\(247\) −5.42148 7.30339i −0.344960 0.464704i
\(248\) −4.59475 13.1266i −0.291767 0.833538i
\(249\) 1.22208 + 2.11670i 0.0774460 + 0.134140i
\(250\) −15.8045 7.03660i −0.999562 0.445034i
\(251\) −8.66603 + 3.85836i −0.546995 + 0.243538i −0.661579 0.749876i \(-0.730113\pi\)
0.114584 + 0.993414i \(0.463447\pi\)
\(252\) 0.312622 0.962152i 0.0196933 0.0606099i
\(253\) 5.06124 8.76633i 0.318198 0.551135i
\(254\) −2.08868 + 3.61770i −0.131055 + 0.226995i
\(255\) −0.0174839 + 0.0538099i −0.00109488 + 0.00336970i
\(256\) 10.8342 + 2.30288i 0.677138 + 0.143930i
\(257\) −16.9546 + 18.8300i −1.05760 + 1.17458i −0.0734383 + 0.997300i \(0.523397\pi\)
−0.984160 + 0.177282i \(0.943269\pi\)
\(258\) 1.58508 + 0.705723i 0.0986827 + 0.0439364i
\(259\) −0.140861 + 0.433526i −0.00875268 + 0.0269380i
\(260\) 20.4805 + 6.42317i 1.27015 + 0.398348i
\(261\) −9.64447 7.00712i −0.596978 0.433730i
\(262\) −3.04027 + 3.37656i −0.187829 + 0.208605i
\(263\) −1.90928 + 18.1655i −0.117731 + 1.12014i 0.762960 + 0.646445i \(0.223745\pi\)
−0.880691 + 0.473690i \(0.842922\pi\)
\(264\) 0.700235 0.311765i 0.0430965 0.0191878i
\(265\) 9.23412 + 28.4197i 0.567247 + 1.74581i
\(266\) 0.383169 0.170598i 0.0234936 0.0104600i
\(267\) 0.0292971 + 0.278744i 0.00179296 + 0.0170588i
\(268\) −4.31181 + 13.2704i −0.263386 + 0.810618i
\(269\) −1.70634 16.2348i −0.104037 0.989851i −0.914644 0.404260i \(-0.867529\pi\)
0.810607 0.585591i \(-0.199137\pi\)
\(270\) −2.97406 + 3.30303i −0.180995 + 0.201016i
\(271\) −6.38703 + 7.09351i −0.387984 + 0.430900i −0.905220 0.424943i \(-0.860294\pi\)
0.517236 + 0.855843i \(0.326961\pi\)
\(272\) 0.0197948 0.0609223i 0.00120024 0.00369396i
\(273\) −0.0868617 + 0.200604i −0.00525711 + 0.0121411i
\(274\) −0.274803 −0.0166014
\(275\) 12.6752 2.69420i 0.764344 0.162466i
\(276\) −0.349854 + 3.32864i −0.0210588 + 0.200361i
\(277\) −2.46906 23.4915i −0.148351 1.41147i −0.774899 0.632086i \(-0.782199\pi\)
0.626547 0.779383i \(-0.284468\pi\)
\(278\) 12.1082 0.726204
\(279\) −16.0391 3.03299i −0.960235 0.181581i
\(280\) −1.16059 + 2.01020i −0.0693586 + 0.120133i
\(281\) −14.7034 + 10.6826i −0.877129 + 0.637271i −0.932490 0.361195i \(-0.882369\pi\)
0.0553615 + 0.998466i \(0.482369\pi\)
\(282\) −0.680969 + 0.303187i −0.0405511 + 0.0180545i
\(283\) −2.10022 + 0.446415i −0.124845 + 0.0265366i −0.269910 0.962885i \(-0.586994\pi\)
0.145065 + 0.989422i \(0.453661\pi\)
\(284\) 4.60079 + 7.96880i 0.273007 + 0.472861i
\(285\) 2.63864 0.156299
\(286\) 2.87583 0.967118i 0.170052 0.0571869i
\(287\) 0.0221430 + 0.0681490i 0.00130706 + 0.00402271i
\(288\) 11.4645 12.7326i 0.675550 0.750274i
\(289\) −15.5276 6.91333i −0.913388 0.406667i
\(290\) 7.80424 + 8.66748i 0.458281 + 0.508972i
\(291\) 3.91261 2.84268i 0.229361 0.166641i
\(292\) −5.75964 + 2.56436i −0.337058 + 0.150068i
\(293\) 9.12201 + 1.93894i 0.532913 + 0.113274i 0.466505 0.884518i \(-0.345513\pi\)
0.0664080 + 0.997793i \(0.478846\pi\)
\(294\) 1.05165 + 0.764065i 0.0613332 + 0.0445612i
\(295\) −37.7605 + 16.8120i −2.19850 + 0.978835i
\(296\) −3.28272 + 3.64583i −0.190804 + 0.211909i
\(297\) 0.190267 1.81027i 0.0110404 0.105043i
\(298\) −8.65965 + 6.29160i −0.501640 + 0.364463i
\(299\) −6.14794 + 30.4557i −0.355545 + 1.76130i
\(300\) −3.46636 + 2.51846i −0.200130 + 0.145403i
\(301\) 1.43985 1.59912i 0.0829917 0.0921716i
\(302\) 6.51357 7.23406i 0.374814 0.416273i
\(303\) 2.11746 + 2.35167i 0.121645 + 0.135100i
\(304\) −2.98740 −0.171339
\(305\) −28.1100 + 48.6879i −1.60957 + 2.78786i
\(306\) 0.0760186 + 0.0844272i 0.00434570 + 0.00482638i
\(307\) 12.2903 + 8.92945i 0.701446 + 0.509630i 0.880403 0.474227i \(-0.157272\pi\)
−0.178957 + 0.983857i \(0.557272\pi\)
\(308\) −0.0423703 0.403126i −0.00241427 0.0229702i
\(309\) 0.598013 + 1.03579i 0.0340198 + 0.0589240i
\(310\) 14.7321 + 6.16507i 0.836730 + 0.350152i
\(311\) −23.9497 −1.35806 −0.679032 0.734109i \(-0.737600\pi\)
−0.679032 + 0.734109i \(0.737600\pi\)
\(312\) −1.73217 + 1.59211i −0.0980650 + 0.0901354i
\(313\) 7.69700 + 5.59220i 0.435060 + 0.316090i 0.783669 0.621179i \(-0.213346\pi\)
−0.348609 + 0.937268i \(0.613346\pi\)
\(314\) −3.64826 + 0.775461i −0.205883 + 0.0437618i
\(315\) 1.36219 + 2.35939i 0.0767510 + 0.132937i
\(316\) −9.26016 + 16.0391i −0.520925 + 0.902268i
\(317\) 1.42052 4.37190i 0.0797842 0.245551i −0.903206 0.429207i \(-0.858793\pi\)
0.982991 + 0.183656i \(0.0587932\pi\)
\(318\) −1.36615 0.290385i −0.0766100 0.0162840i
\(319\) −4.67213 0.993091i −0.261589 0.0556024i
\(320\) −5.88933 + 4.27885i −0.329223 + 0.239195i
\(321\) 1.21346 + 1.34769i 0.0677288 + 0.0752204i
\(322\) −1.30886 0.582744i −0.0729402 0.0324751i
\(323\) 0.0142640 0.135713i 0.000793669 0.00755125i
\(324\) −3.85499 11.8644i −0.214166 0.659136i
\(325\) −34.2401 + 20.2393i −1.89930 + 1.12267i
\(326\) −12.3415 8.96659i −0.683530 0.496613i
\(327\) 2.58125 2.86677i 0.142743 0.158532i
\(328\) −0.0806123 + 0.766975i −0.00445107 + 0.0423491i
\(329\) 0.0966313 + 0.919386i 0.00532746 + 0.0506874i
\(330\) −0.271991 + 0.837103i −0.0149726 + 0.0460810i
\(331\) 1.16719 + 11.1050i 0.0641544 + 0.610388i 0.978613 + 0.205709i \(0.0659501\pi\)
−0.914459 + 0.404679i \(0.867383\pi\)
\(332\) 13.6069 + 2.89224i 0.746776 + 0.158732i
\(333\) 1.77936 + 5.47632i 0.0975085 + 0.300100i
\(334\) 0.861162 + 0.956417i 0.0471207 + 0.0523328i
\(335\) −18.7880 32.5417i −1.02650 1.77794i
\(336\) 0.0358989 + 0.0621788i 0.00195845 + 0.00339213i
\(337\) 4.53540 13.9585i 0.247059 0.760369i −0.748232 0.663437i \(-0.769097\pi\)
0.995291 0.0969321i \(-0.0309030\pi\)
\(338\) −7.42047 + 5.62728i −0.403620 + 0.306083i
\(339\) −0.268384 + 0.194992i −0.0145766 + 0.0105905i
\(340\) 0.161010 + 0.278877i 0.00873198 + 0.0151242i
\(341\) −6.36511 + 1.50369i −0.344690 + 0.0814292i
\(342\) 2.64913 4.58843i 0.143249 0.248114i
\(343\) 2.61858 1.90251i 0.141390 0.102726i
\(344\) 21.1568 9.41963i 1.14070 0.507873i
\(345\) −6.03109 6.69820i −0.324703 0.360619i
\(346\) −0.835463 −0.0449148
\(347\) 10.3377 17.9055i 0.554958 0.961215i −0.442949 0.896547i \(-0.646068\pi\)
0.997907 0.0646684i \(-0.0205990\pi\)
\(348\) 1.54483 0.328363i 0.0828115 0.0176021i
\(349\) −10.3542 + 11.4995i −0.554247 + 0.615553i −0.953539 0.301270i \(-0.902589\pi\)
0.399292 + 0.916824i \(0.369256\pi\)
\(350\) −0.566774 1.74435i −0.0302954 0.0932395i
\(351\) 1.21758 + 5.45277i 0.0649894 + 0.291048i
\(352\) 2.12136 6.52888i 0.113069 0.347990i
\(353\) −7.77404 3.46123i −0.413771 0.184223i 0.189284 0.981922i \(-0.439383\pi\)
−0.603055 + 0.797700i \(0.706050\pi\)
\(354\) 0.201941 1.92134i 0.0107330 0.102118i
\(355\) −24.2381 5.15197i −1.28642 0.273438i
\(356\) 1.29055 + 0.937639i 0.0683990 + 0.0496948i
\(357\) −0.00299608 + 0.00133394i −0.000158569 + 7.05997e-5i
\(358\) −5.53837 1.17722i −0.292712 0.0622178i
\(359\) 6.46700 + 4.69855i 0.341315 + 0.247980i 0.745216 0.666823i \(-0.232346\pi\)
−0.403901 + 0.914803i \(0.632346\pi\)
\(360\) 3.06491 + 29.1606i 0.161535 + 1.53690i
\(361\) 12.3599 2.62717i 0.650520 0.138272i
\(362\) 13.8067 + 6.14714i 0.725665 + 0.323087i
\(363\) 0.776590 + 2.39010i 0.0407604 + 0.125448i
\(364\) 0.517676 + 1.13136i 0.0271336 + 0.0592995i
\(365\) 5.24662 16.1474i 0.274621 0.845195i
\(366\) −1.31384 2.27564i −0.0686755 0.118949i
\(367\) 2.29244 + 3.97063i 0.119665 + 0.207265i 0.919635 0.392775i \(-0.128485\pi\)
−0.799970 + 0.600040i \(0.795151\pi\)
\(368\) 6.82825 + 7.58354i 0.355947 + 0.395320i
\(369\) 0.732292 + 0.532042i 0.0381216 + 0.0276970i
\(370\) −0.588865 5.60268i −0.0306136 0.291269i
\(371\) −0.866066 + 1.50007i −0.0449639 + 0.0778798i
\(372\) 1.72043 1.31023i 0.0892001 0.0679321i
\(373\) −3.96332 + 6.86467i −0.205213 + 0.355439i −0.950201 0.311639i \(-0.899122\pi\)
0.744988 + 0.667078i \(0.232455\pi\)
\(374\) 0.0415842 + 0.0185145i 0.00215027 + 0.000957362i
\(375\) 0.659435 6.27411i 0.0340531 0.323993i
\(376\) −3.07454 + 9.46245i −0.158557 + 0.487988i
\(377\) 14.5642 1.68188i 0.750096 0.0866213i
\(378\) −0.257636 −0.0132514
\(379\) −24.0802 + 5.11840i −1.23692 + 0.262914i −0.779536 0.626357i \(-0.784545\pi\)
−0.457379 + 0.889272i \(0.651212\pi\)
\(380\) 10.0489 11.1604i 0.515496 0.572516i
\(381\) −1.49003 0.316715i −0.0763364 0.0162258i
\(382\) 5.29357 3.84600i 0.270843 0.196779i
\(383\) −0.838147 0.930857i −0.0428273 0.0475646i 0.721351 0.692570i \(-0.243522\pi\)
−0.764178 + 0.645006i \(0.776855\pi\)
\(384\) 0.283594 + 2.69822i 0.0144721 + 0.137693i
\(385\) 0.883113 + 0.641619i 0.0450076 + 0.0326999i
\(386\) −9.12742 1.94009i −0.464574 0.0987481i
\(387\) 2.84129 27.0330i 0.144431 1.37417i
\(388\) 2.87720 27.3747i 0.146068 1.38974i
\(389\) 2.94929 + 9.07698i 0.149535 + 0.460221i 0.997566 0.0697248i \(-0.0222121\pi\)
−0.848031 + 0.529946i \(0.822212\pi\)
\(390\) −0.0276944 2.70149i −0.00140236 0.136795i
\(391\) −0.377110 + 0.273987i −0.0190713 + 0.0138561i
\(392\) 16.9713 3.60737i 0.857181 0.182200i
\(393\) −1.51363 0.673911i −0.0763525 0.0339943i
\(394\) 7.10483 + 1.51018i 0.357936 + 0.0760817i
\(395\) −15.4121 47.4337i −0.775469 2.38665i
\(396\) −3.42619 3.80517i −0.172172 0.191217i
\(397\) −17.4765 + 30.2701i −0.877118 + 1.51921i −0.0226295 + 0.999744i \(0.507204\pi\)
−0.854489 + 0.519470i \(0.826130\pi\)
\(398\) −5.95010 −0.298252
\(399\) 0.102343 + 0.113664i 0.00512356 + 0.00569029i
\(400\) −1.36552 + 12.9920i −0.0682758 + 0.649601i
\(401\) −14.3495 6.38879i −0.716578 0.319041i 0.0158608 0.999874i \(-0.494951\pi\)
−0.732438 + 0.680833i \(0.761618\pi\)
\(402\) 1.75627 0.0875948
\(403\) 17.0468 10.6021i 0.849164 0.528129i
\(404\) 18.0107 0.896065
\(405\) 30.6904 + 13.6643i 1.52502 + 0.678983i
\(406\) −0.0706679 + 0.672360i −0.00350719 + 0.0333687i
\(407\) 1.54377 + 1.71453i 0.0765219 + 0.0849861i
\(408\) −0.0352970 −0.00174746
\(409\) 4.30821 7.46203i 0.213027 0.368974i −0.739633 0.673010i \(-0.765001\pi\)
0.952660 + 0.304036i \(0.0983344\pi\)
\(410\) −0.592566 0.658111i −0.0292647 0.0325018i
\(411\) −0.0309664 0.0953049i −0.00152746 0.00470104i
\(412\) 6.65843 + 1.41529i 0.328037 + 0.0697264i
\(413\) −2.18880 0.974515i −0.107704 0.0479527i
\(414\) −17.7028 + 3.76285i −0.870046 + 0.184934i
\(415\) −30.3071 + 22.0194i −1.48772 + 1.08089i
\(416\) 0.215999 + 21.0699i 0.0105902 + 1.03304i
\(417\) 1.36443 + 4.19928i 0.0668164 + 0.205640i
\(418\) 0.221900 2.11124i 0.0108535 0.103264i
\(419\) −1.31508 + 12.5121i −0.0642458 + 0.611258i 0.914273 + 0.405099i \(0.132763\pi\)
−0.978519 + 0.206159i \(0.933904\pi\)
\(420\) −0.353044 0.0750417i −0.0172268 0.00366166i
\(421\) −4.95747 3.60181i −0.241612 0.175542i 0.460389 0.887717i \(-0.347710\pi\)
−0.702001 + 0.712176i \(0.747710\pi\)
\(422\) −0.959687 9.13081i −0.0467168 0.444481i
\(423\) 7.81390 + 8.67821i 0.379925 + 0.421949i
\(424\) −15.0818 + 10.9575i −0.732435 + 0.532145i
\(425\) −0.583685 0.124066i −0.0283129 0.00601809i
\(426\) 0.774973 0.860695i 0.0375476 0.0417008i
\(427\) −3.18759 + 0.677543i −0.154258 + 0.0327886i
\(428\) 10.3215 0.498907
\(429\) 0.659475 + 0.888394i 0.0318398 + 0.0428920i
\(430\) −8.21791 + 25.2921i −0.396303 + 1.21970i
\(431\) 0.116406 1.10753i 0.00560707 0.0533477i −0.991361 0.131165i \(-0.958128\pi\)
0.996968 + 0.0778170i \(0.0247950\pi\)
\(432\) 1.67637 + 0.746370i 0.0806546 + 0.0359097i
\(433\) 11.6088 20.1070i 0.557884 0.966283i −0.439789 0.898101i \(-0.644947\pi\)
0.997673 0.0681818i \(-0.0217198\pi\)
\(434\) 0.305836 + 0.873731i 0.0146806 + 0.0419404i
\(435\) −2.12656 + 3.68331i −0.101961 + 0.176601i
\(436\) −2.29498 21.8353i −0.109910 1.04572i
\(437\) 17.5870 + 12.7777i 0.841302 + 0.611241i
\(438\) 0.530994 + 0.589729i 0.0253719 + 0.0281783i
\(439\) −6.26570 10.8525i −0.299045 0.517962i 0.676872 0.736100i \(-0.263335\pi\)
−0.975918 + 0.218139i \(0.930002\pi\)
\(440\) 5.87411 + 10.1743i 0.280037 + 0.485039i
\(441\) 6.29294 19.3677i 0.299664 0.922270i
\(442\) −0.139095 0.0131794i −0.00661608 0.000626878i
\(443\) −6.29994 19.3892i −0.299319 0.921209i −0.981736 0.190246i \(-0.939071\pi\)
0.682417 0.730963i \(-0.260929\pi\)
\(444\) −0.696895 0.310278i −0.0330732 0.0147251i
\(445\) −4.20197 + 0.893157i −0.199193 + 0.0423397i
\(446\) 0.592683 + 5.63900i 0.0280644 + 0.267014i
\(447\) −3.15783 2.29429i −0.149360 0.108516i
\(448\) −0.412743 0.0877313i −0.0195003 0.00414492i
\(449\) −1.69260 + 0.753592i −0.0798785 + 0.0355642i −0.446287 0.894890i \(-0.647254\pi\)
0.366408 + 0.930454i \(0.380587\pi\)
\(450\) −18.7439 13.6182i −0.883594 0.641969i
\(451\) 0.354749 + 0.0754041i 0.0167045 + 0.00355064i
\(452\) −0.197360 + 1.87776i −0.00928305 + 0.0883223i
\(453\) 3.24285 + 1.44381i 0.152362 + 0.0678361i
\(454\) −4.10249 + 12.6262i −0.192539 + 0.592575i
\(455\) −3.19698 1.00265i −0.149877 0.0470049i
\(456\) 0.508679 + 1.56555i 0.0238211 + 0.0733137i
\(457\) 2.47750 2.75154i 0.115893 0.128712i −0.682407 0.730973i \(-0.739067\pi\)
0.798299 + 0.602261i \(0.205733\pi\)
\(458\) −17.5928 + 3.73946i −0.822056 + 0.174733i
\(459\) −0.0419105 + 0.0725910i −0.00195621 + 0.00338826i
\(460\) −51.2993 −2.39184
\(461\) 12.3688 + 13.7369i 0.576072 + 0.639792i 0.958805 0.284067i \(-0.0916837\pi\)
−0.382733 + 0.923859i \(0.625017\pi\)
\(462\) −0.0466091 + 0.0207517i −0.00216845 + 0.000965457i
\(463\) 14.2142 10.3272i 0.660590 0.479947i −0.206272 0.978495i \(-0.566133\pi\)
0.866862 + 0.498548i \(0.166133\pi\)
\(464\) 2.40764 4.17016i 0.111772 0.193595i
\(465\) −0.478012 + 5.80400i −0.0221673 + 0.269154i
\(466\) 4.25979 + 7.37818i 0.197331 + 0.341788i
\(467\) 27.8633 20.2439i 1.28936 0.936776i 0.289569 0.957157i \(-0.406488\pi\)
0.999792 + 0.0203814i \(0.00648804\pi\)
\(468\) 13.6907 + 7.71829i 0.632852 + 0.356778i
\(469\) 0.673069 2.07149i 0.0310794 0.0956527i
\(470\) −5.71249 9.89433i −0.263498 0.456391i
\(471\) −0.680047 1.17788i −0.0313349 0.0542737i
\(472\) −17.2544 19.1629i −0.794198 0.882046i
\(473\) −3.36552 10.3580i −0.154747 0.476262i
\(474\) 2.28017 + 0.484665i 0.104732 + 0.0222614i
\(475\) 2.90893 + 27.6766i 0.133471 + 1.26989i
\(476\) −0.00576809 + 0.0177524i −0.000264380 + 0.000813679i
\(477\) 2.28712 + 21.7605i 0.104720 + 0.996345i
\(478\) 1.07436 10.2218i 0.0491401 0.467536i
\(479\) 15.1264 16.7995i 0.691142 0.767591i −0.290798 0.956785i \(-0.593921\pi\)
0.981940 + 0.189194i \(0.0605874\pi\)
\(480\) −4.94524 3.59292i −0.225718 0.163994i
\(481\) −6.16874 3.47770i −0.281270 0.158570i
\(482\) 3.66961 + 11.2939i 0.167146 + 0.514423i
\(483\) 0.0546119 0.519597i 0.00248493 0.0236425i
\(484\) 13.0667 + 5.81767i 0.593941 + 0.264440i
\(485\) 49.5996 + 55.0859i 2.25220 + 2.50132i
\(486\) −3.96452 + 2.88040i −0.179834 + 0.130657i
\(487\) 31.3777 + 6.66953i 1.42186 + 0.302225i 0.853730 0.520716i \(-0.174335\pi\)
0.568127 + 0.822941i \(0.307668\pi\)
\(488\) −34.3065 7.29207i −1.55298 0.330097i
\(489\) 1.71901 5.29058i 0.0777364 0.239248i
\(490\) −9.96185 + 17.2544i −0.450031 + 0.779476i
\(491\) 9.60650 + 16.6390i 0.433535 + 0.750905i 0.997175 0.0751156i \(-0.0239326\pi\)
−0.563639 + 0.826021i \(0.690599\pi\)
\(492\) −0.117297 + 0.0249322i −0.00528815 + 0.00112403i
\(493\) 0.177947 + 0.129286i 0.00801434 + 0.00582276i
\(494\) 1.42000 + 6.35933i 0.0638890 + 0.286120i
\(495\) 13.7890 0.619768
\(496\) 0.541194 6.57116i 0.0243003 0.295054i
\(497\) −0.718178 1.24392i −0.0322147 0.0557975i
\(498\) −0.183022 1.74134i −0.00820141 0.0780312i
\(499\) −4.04377 2.93797i −0.181024 0.131522i 0.493583 0.869699i \(-0.335687\pi\)
−0.674607 + 0.738177i \(0.735687\pi\)
\(500\) −24.0256 26.6832i −1.07446 1.19331i
\(501\) −0.234656 + 0.406436i −0.0104837 + 0.0181582i
\(502\) 6.79563 0.303304
\(503\) −15.8617 17.6162i −0.707240 0.785469i 0.277271 0.960792i \(-0.410570\pi\)
−0.984511 + 0.175322i \(0.943903\pi\)
\(504\) −1.13726 + 1.26306i −0.0506578 + 0.0562612i
\(505\) −32.4544 + 36.0442i −1.44420 + 1.60395i
\(506\) −5.86658 + 4.26232i −0.260801 + 0.189483i
\(507\) −2.78779 1.93939i −0.123810 0.0861314i
\(508\) −7.01413 + 5.09607i −0.311202 + 0.226101i
\(509\) 4.30440 40.9536i 0.190789 1.81524i −0.311180 0.950351i \(-0.600724\pi\)
0.501969 0.864885i \(-0.332609\pi\)
\(510\) 0.0271211 0.0301210i 0.00120094 0.00133378i
\(511\) 0.899074 0.400293i 0.0397727 0.0177079i
\(512\) 10.3850 + 7.54515i 0.458957 + 0.333452i
\(513\) 3.82368 + 0.812747i 0.168819 + 0.0358837i
\(514\) 16.5824 7.38295i 0.731417 0.325648i
\(515\) −14.8305 + 10.7750i −0.653511 + 0.474804i
\(516\) 2.40961 + 2.67614i 0.106077 + 0.117811i
\(517\) 4.27441 + 1.90309i 0.187989 + 0.0836979i
\(518\) 0.218504 0.242674i 0.00960053 0.0106625i
\(519\) −0.0941450 0.289749i −0.00413251 0.0127186i
\(520\) −27.0438 23.8529i −1.18595 1.04602i
\(521\) 0.418973 0.0183555 0.00917777 0.999958i \(-0.497079\pi\)
0.00917777 + 0.999958i \(0.497079\pi\)
\(522\) 4.27003 + 7.39591i 0.186894 + 0.323710i
\(523\) 13.8030 2.93392i 0.603564 0.128291i 0.104013 0.994576i \(-0.466832\pi\)
0.499551 + 0.866284i \(0.333498\pi\)
\(524\) −8.61482 + 3.83556i −0.376340 + 0.167557i
\(525\) 0.541095 0.393128i 0.0236153 0.0171575i
\(526\) 6.54251 11.3320i 0.285267 0.494097i
\(527\) 0.295932 + 0.0559608i 0.0128910 + 0.00243769i
\(528\) 0.363391 0.0158146
\(529\) −5.35786 50.9766i −0.232950 2.21637i
\(530\) 2.23763 21.2896i 0.0971963 0.924761i
\(531\) −29.6042 + 6.29256i −1.28471 + 0.273074i
\(532\) 0.870511 0.0377414
\(533\) −1.10584 + 0.127703i −0.0478994 + 0.00553143i
\(534\) 0.0620459 0.190958i 0.00268499 0.00826355i
\(535\) −18.5988 + 20.6560i −0.804095 + 0.893038i
\(536\) 15.6856 17.4207i 0.677516 0.752458i
\(537\) −0.215824 2.05343i −0.00931349 0.0886120i
\(538\) −3.61372 + 11.1219i −0.155798 + 0.479498i
\(539\) −0.852894 8.11475i −0.0367368 0.349527i
\(540\) −8.42719 + 3.75203i −0.362649 + 0.161462i
\(541\) −0.898621 2.76567i −0.0386347 0.118905i 0.929879 0.367865i \(-0.119911\pi\)
−0.968514 + 0.248960i \(0.919911\pi\)
\(542\) 6.24681 2.78126i 0.268323 0.119465i
\(543\) −0.576080 + 5.48103i −0.0247220 + 0.235214i
\(544\) −0.211527 + 0.234925i −0.00906916 + 0.0100723i
\(545\) 47.8338 + 34.7533i 2.04897 + 1.48867i
\(546\) 0.115297 0.105974i 0.00493425 0.00453527i
\(547\) −5.01515 + 15.4350i −0.214432 + 0.659955i 0.784761 + 0.619798i \(0.212786\pi\)
−0.999193 + 0.0401564i \(0.987214\pi\)
\(548\) −0.521033 0.231979i −0.0222574 0.00990965i
\(549\) −27.5450 + 30.5918i −1.17559 + 1.30563i
\(550\) −9.08020 1.93006i −0.387181 0.0822978i
\(551\) 3.16986 9.75583i 0.135041 0.415612i
\(552\) 2.81149 4.86964i 0.119665 0.207266i
\(553\) 1.44550 2.50368i 0.0614690 0.106467i
\(554\) −5.22901 + 16.0932i −0.222159 + 0.683736i
\(555\) 1.87672 0.835569i 0.0796623 0.0354679i
\(556\) 22.9576 + 10.2214i 0.973617 + 0.433482i
\(557\) −1.22859 2.12798i −0.0520570 0.0901654i 0.838823 0.544405i \(-0.183244\pi\)
−0.890880 + 0.454239i \(0.849911\pi\)
\(558\) 9.61289 + 6.65832i 0.406946 + 0.281869i
\(559\) 19.9253 + 26.8418i 0.842751 + 1.13529i
\(560\) −0.890282 + 0.646828i −0.0376213 + 0.0273335i
\(561\) −0.00173509 + 0.0165082i −7.32554e−5 + 0.000696979i
\(562\) 12.7351 2.70694i 0.537199 0.114185i
\(563\) 1.83473 3.17785i 0.0773247 0.133930i −0.824770 0.565468i \(-0.808696\pi\)
0.902095 + 0.431538i \(0.142029\pi\)
\(564\) −1.54708 −0.0651437
\(565\) −3.40226 3.77860i −0.143134 0.158967i
\(566\) 1.50454 + 0.319800i 0.0632406 + 0.0134422i
\(567\) 0.601760 + 1.85203i 0.0252715 + 0.0777778i
\(568\) −1.61588 15.3741i −0.0678010 0.645083i
\(569\) −6.59793 + 1.40243i −0.276599 + 0.0587930i −0.344123 0.938925i \(-0.611824\pi\)
0.0675233 + 0.997718i \(0.478490\pi\)
\(570\) −1.72683 0.768835i −0.0723291 0.0322030i
\(571\) −11.5805 8.41371i −0.484628 0.352103i 0.318487 0.947927i \(-0.396825\pi\)
−0.803115 + 0.595825i \(0.796825\pi\)
\(572\) 6.26907 + 0.593998i 0.262123 + 0.0248363i
\(573\) 1.93035 + 1.40248i 0.0806416 + 0.0585896i
\(574\) 0.00536572 0.0510514i 0.000223961 0.00213085i
\(575\) 63.6083 70.6442i 2.65265 2.94607i
\(576\) −4.86945 + 2.16802i −0.202894 + 0.0903340i
\(577\) −6.54721 + 4.75683i −0.272564 + 0.198029i −0.715668 0.698441i \(-0.753877\pi\)
0.443103 + 0.896470i \(0.353877\pi\)
\(578\) 8.14752 + 9.04873i 0.338892 + 0.376378i
\(579\) −0.355686 3.38412i −0.0147818 0.140639i
\(580\) 7.48025 + 23.0219i 0.310601 + 0.955931i
\(581\) −2.12402 0.451475i −0.0881193 0.0187303i
\(582\) −3.38886 + 0.720324i −0.140473 + 0.0298584i
\(583\) 4.38343 + 7.59232i 0.181543 + 0.314442i
\(584\) 10.5920 0.438301
\(585\) −40.1163 + 13.4908i −1.65860 + 0.557774i
\(586\) −5.40485 3.92686i −0.223272 0.162217i
\(587\) −33.6730 14.9922i −1.38984 0.618795i −0.430895 0.902402i \(-0.641802\pi\)
−0.958940 + 0.283608i \(0.908469\pi\)
\(588\) 1.34895 + 2.33645i 0.0556298 + 0.0963536i
\(589\) −1.78273 13.9322i −0.0734560 0.574066i
\(590\) 29.6106 1.21905
\(591\) 0.276867 + 2.63422i 0.0113888 + 0.108357i
\(592\) −2.12478 + 0.946012i −0.0873278 + 0.0388808i
\(593\) 12.0323 37.0316i 0.494107 1.52070i −0.324238 0.945976i \(-0.605108\pi\)
0.818344 0.574728i \(-0.194892\pi\)
\(594\) −0.651988 + 1.12928i −0.0267514 + 0.0463347i
\(595\) −0.0251334 0.0435324i −0.00103037 0.00178465i
\(596\) −21.7301 + 4.61887i −0.890099 + 0.189196i
\(597\) −0.670494 2.06357i −0.0274415 0.0844562i
\(598\) 12.8975 18.1401i 0.527419 0.741803i
\(599\) 19.7690 14.3630i 0.807739 0.586857i −0.105435 0.994426i \(-0.533624\pi\)
0.913174 + 0.407569i \(0.133624\pi\)
\(600\) 7.04099 1.49661i 0.287447 0.0610988i
\(601\) 18.5764 + 8.27076i 0.757748 + 0.337371i 0.748982 0.662590i \(-0.230543\pi\)
0.00876607 + 0.999962i \(0.497210\pi\)
\(602\) −1.40824 + 0.626990i −0.0573957 + 0.0255542i
\(603\) −8.50224 26.1672i −0.346238 1.06561i
\(604\) 18.4567 8.21743i 0.750991 0.334363i
\(605\) −35.1883 + 15.6668i −1.43061 + 0.636947i
\(606\) −0.700529 2.15601i −0.0284571 0.0875818i
\(607\) 42.8516 19.0787i 1.73929 0.774382i 0.745075 0.666981i \(-0.232414\pi\)
0.994216 0.107402i \(-0.0342531\pi\)
\(608\) 13.4682 + 5.99643i 0.546208 + 0.243187i
\(609\) −0.241146 + 0.0512571i −0.00977172 + 0.00207704i
\(610\) 32.5828 23.6728i 1.31924 0.958483i
\(611\) −14.2975 1.35470i −0.578415 0.0548052i
\(612\) 0.0728628 + 0.224249i 0.00294530 + 0.00906471i
\(613\) 10.5344 2.23916i 0.425482 0.0904389i 0.00980615 0.999952i \(-0.496879\pi\)
0.415675 + 0.909513i \(0.363545\pi\)
\(614\) −5.44147 9.42490i −0.219600 0.380358i
\(615\) 0.161467 0.279669i 0.00651098 0.0112773i
\(616\) −0.210437 + 0.647659i −0.00847876 + 0.0260949i
\(617\) 18.7344 8.34109i 0.754219 0.335800i 0.00664427 0.999978i \(-0.497885\pi\)
0.747574 + 0.664178i \(0.231218\pi\)
\(618\) −0.0895603 0.852109i −0.00360264 0.0342769i
\(619\) 22.5406 0.905984 0.452992 0.891515i \(-0.350357\pi\)
0.452992 + 0.891515i \(0.350357\pi\)
\(620\) 22.7282 + 24.1255i 0.912787 + 0.968904i
\(621\) −6.67654 11.5641i −0.267920 0.464052i
\(622\) 15.6737 + 6.97837i 0.628457 + 0.279807i
\(623\) −0.201453 0.146364i −0.00807106 0.00586397i
\(624\) −1.05722 + 0.355532i −0.0423225 + 0.0142327i
\(625\) 41.5359 1.66143
\(626\) −3.40780 5.90248i −0.136203 0.235911i
\(627\) 0.757208 0.160950i 0.0302400 0.00642770i
\(628\) −7.57181 1.60944i −0.302148 0.0642236i
\(629\) −0.0328305 0.101042i −0.00130904 0.00402880i
\(630\) −0.204006 1.94099i −0.00812781 0.0773310i
\(631\) 1.50838 + 1.67522i 0.0600475 + 0.0666895i 0.772420 0.635112i \(-0.219046\pi\)
−0.712373 + 0.701801i \(0.752379\pi\)
\(632\) 25.1721 18.2886i 1.00129 0.727482i
\(633\) 3.05853 1.36175i 0.121566 0.0541246i
\(634\) −2.20351 + 2.44725i −0.0875126 + 0.0971926i
\(635\) 2.44052 23.2200i 0.0968492 0.921459i
\(636\) −2.34513 1.70384i −0.0929905 0.0675615i
\(637\) 10.4206 + 22.7738i 0.412878 + 0.902331i
\(638\) 2.76827 + 2.01126i 0.109597 + 0.0796267i
\(639\) −16.5755 7.37987i −0.655715 0.291943i
\(640\) −40.6748 + 8.64569i −1.60781 + 0.341751i
\(641\) 1.43094 + 13.6145i 0.0565186 + 0.537739i 0.985747 + 0.168233i \(0.0538062\pi\)
−0.929229 + 0.369505i \(0.879527\pi\)
\(642\) −0.401456 1.23555i −0.0158442 0.0487634i
\(643\) 13.4196 + 2.85242i 0.529216 + 0.112488i 0.464768 0.885433i \(-0.346138\pi\)
0.0644485 + 0.997921i \(0.479471\pi\)
\(644\) −1.98971 2.20980i −0.0784056 0.0870782i
\(645\) −9.69767 −0.381845
\(646\) −0.0488783 + 0.0846597i −0.00192309 + 0.00333089i
\(647\) −37.1037 + 7.88663i −1.45870 + 0.310055i −0.867889 0.496758i \(-0.834524\pi\)
−0.590806 + 0.806813i \(0.701190\pi\)
\(648\) −2.19073 + 20.8434i −0.0860601 + 0.818807i
\(649\) −9.81060 + 7.12782i −0.385100 + 0.279791i
\(650\) 28.3053 3.26870i 1.11023 0.128209i
\(651\) −0.268557 + 0.204525i −0.0105256 + 0.00801596i
\(652\) −15.8304 27.4191i −0.619968 1.07382i
\(653\) 18.1004 + 8.05881i 0.708323 + 0.315366i 0.729089 0.684419i \(-0.239944\pi\)
−0.0207662 + 0.999784i \(0.506611\pi\)
\(654\) −2.52458 + 1.12402i −0.0987189 + 0.0439525i
\(655\) 7.84748 24.1521i 0.306626 0.943699i
\(656\) −0.182809 + 0.316635i −0.00713750 + 0.0123625i
\(657\) 6.21597 10.7664i 0.242508 0.420036i
\(658\) 0.204647 0.629840i 0.00797798 0.0245537i
\(659\) 37.2333 + 7.91419i 1.45041 + 0.308293i 0.864724 0.502248i \(-0.167494\pi\)
0.585682 + 0.810541i \(0.300827\pi\)
\(660\) −1.22236 + 1.35756i −0.0475802 + 0.0528431i
\(661\) 24.2590 + 10.8008i 0.943567 + 0.420103i 0.820084 0.572244i \(-0.193927\pi\)
0.123483 + 0.992347i \(0.460594\pi\)
\(662\) 2.47189 7.60768i 0.0960725 0.295681i
\(663\) −0.0111033 0.0497250i −0.000431218 0.00193116i
\(664\) −18.9071 13.7368i −0.733740 0.533093i
\(665\) −1.56862 + 1.74213i −0.0608284 + 0.0675567i
\(666\) 0.431179 4.10239i 0.0167078 0.158964i
\(667\) −32.0105 + 14.2520i −1.23945 + 0.551840i
\(668\) 0.825412 + 2.54036i 0.0319362 + 0.0982894i
\(669\) −1.88889 + 0.840987i −0.0730286 + 0.0325144i
\(670\) 2.81374 + 26.7710i 0.108704 + 1.03425i
\(671\) −5.09687 + 15.6866i −0.196763 + 0.605573i
\(672\) −0.0370367 0.352380i −0.00142872 0.0135934i
\(673\) 21.8499 24.2668i 0.842254 0.935417i −0.156379 0.987697i \(-0.549982\pi\)
0.998632 + 0.0522798i \(0.0166488\pi\)
\(674\) −7.03533 + 7.81352i −0.270991 + 0.300966i
\(675\) 5.28235 16.2574i 0.203318 0.625748i
\(676\) −18.8198 + 4.40537i −0.723837 + 0.169437i
\(677\) −36.6744 −1.40951 −0.704755 0.709450i \(-0.748943\pi\)
−0.704755 + 0.709450i \(0.748943\pi\)
\(678\) 0.232457 0.0494104i 0.00892747 0.00189759i
\(679\) −0.449128 + 4.27316i −0.0172359 + 0.163989i
\(680\) −0.0565497 0.538034i −0.00216858 0.0206327i
\(681\) −4.84120 −0.185515
\(682\) 4.60372 + 0.870565i 0.176286 + 0.0333357i
\(683\) −4.47977 + 7.75918i −0.171413 + 0.296897i −0.938914 0.344151i \(-0.888167\pi\)
0.767501 + 0.641048i \(0.221500\pi\)
\(684\) 8.89622 6.46348i 0.340155 0.247137i
\(685\) 1.40313 0.624713i 0.0536108 0.0238691i
\(686\) −2.26805 + 0.482089i −0.0865946 + 0.0184063i
\(687\) −3.27935 5.68000i −0.125115 0.216705i
\(688\) 10.9795 0.418588
\(689\) −20.1808 17.7997i −0.768829 0.678115i
\(690\) 1.99530 + 6.14089i 0.0759596 + 0.233780i
\(691\) 3.76215 4.17829i 0.143119 0.158950i −0.667324 0.744768i \(-0.732560\pi\)
0.810442 + 0.585818i \(0.199227\pi\)
\(692\) −1.58406 0.705269i −0.0602169 0.0268103i
\(693\) 0.534824 + 0.593982i 0.0203163 + 0.0225635i
\(694\) −11.9826 + 8.70590i −0.454855 + 0.330471i
\(695\) −61.8241 + 27.5258i −2.34512 + 1.04411i
\(696\) −2.59534 0.551656i −0.0983760 0.0209105i
\(697\) −0.0135113 0.00981654i −0.000511777 0.000371828i
\(698\) 10.1269 4.50878i 0.383308 0.170660i
\(699\) −2.07882 + 2.30877i −0.0786283 + 0.0873256i
\(700\) 0.397903 3.78579i 0.0150393 0.143089i
\(701\) −25.9795 + 18.8752i −0.981233 + 0.712908i −0.957984 0.286822i \(-0.907401\pi\)
−0.0232494 + 0.999730i \(0.507401\pi\)
\(702\) 0.791976 3.92329i 0.0298912 0.148075i
\(703\) −4.00845 + 2.91231i −0.151182 + 0.109840i
\(704\) −1.42906 + 1.58713i −0.0538596 + 0.0598172i
\(705\) 2.78776 3.09612i 0.104993 0.116606i
\(706\) 4.07913 + 4.53034i 0.153520 + 0.170501i
\(707\) −2.81145 −0.105735
\(708\) 2.00481 3.47244i 0.0753454 0.130502i
\(709\) 17.6265 + 19.5762i 0.661978 + 0.735201i 0.976848 0.213934i \(-0.0686277\pi\)
−0.314870 + 0.949135i \(0.601961\pi\)
\(710\) 14.3612 + 10.4341i 0.538968 + 0.391583i
\(711\) −3.81730 36.3192i −0.143160 1.36208i
\(712\) −1.33999 2.32092i −0.0502181 0.0869803i
\(713\) −31.2922 + 36.3700i −1.17190 + 1.36207i
\(714\) 0.00234944 8.79255e−5
\(715\) −12.4853 + 11.4757i −0.466924 + 0.429168i
\(716\) −9.50713 6.90733i −0.355298 0.258139i
\(717\) 3.66613 0.779259i 0.136914 0.0291020i
\(718\) −2.86322 4.95925i −0.106855 0.185078i
\(719\) −10.2132 + 17.6899i −0.380890 + 0.659720i −0.991190 0.132450i \(-0.957716\pi\)
0.610300 + 0.792170i \(0.291049\pi\)
\(720\) −4.29562 + 13.2206i −0.160088 + 0.492701i
\(721\) −1.03937 0.220925i −0.0387083 0.00822770i
\(722\) −8.85430 1.88204i −0.329523 0.0700423i
\(723\) −3.50335 + 2.54533i −0.130291 + 0.0946619i
\(724\) 20.9887 + 23.3103i 0.780039 + 0.866321i
\(725\) −40.9785 18.2448i −1.52190 0.677595i
\(726\) 0.188185 1.79046i 0.00698419 0.0664501i
\(727\) 3.36102 + 10.3442i 0.124653 + 0.383644i 0.993838 0.110844i \(-0.0353555\pi\)
−0.869184 + 0.494488i \(0.835355\pi\)
\(728\) −0.0214269 2.09012i −0.000794133 0.0774651i
\(729\) 18.9184 + 13.7450i 0.700682 + 0.509075i
\(730\) −8.13857 + 9.03880i −0.301222 + 0.334541i
\(731\) −0.0524237 + 0.498778i −0.00193896 + 0.0184480i
\(732\) −0.570061 5.42377i −0.0210701 0.200468i
\(733\) 0.675894 2.08019i 0.0249647 0.0768335i −0.937798 0.347182i \(-0.887139\pi\)
0.962763 + 0.270348i \(0.0871388\pi\)
\(734\) −0.343323 3.26650i −0.0126723 0.120569i
\(735\) −7.10661 1.51056i −0.262131 0.0557177i
\(736\) −15.5621 47.8951i −0.573625 1.76544i
\(737\) −7.37651 8.19245i −0.271717 0.301773i
\(738\) −0.324218 0.561562i −0.0119346 0.0206714i
\(739\) 16.0335 + 27.7709i 0.589803 + 1.02157i 0.994258 + 0.107011i \(0.0341279\pi\)
−0.404455 + 0.914558i \(0.632539\pi\)
\(740\) 3.61308 11.1199i 0.132820 0.408777i
\(741\) −2.04548 + 1.20908i −0.0751425 + 0.0444167i
\(742\) 1.00387 0.729356i 0.0368533 0.0267755i
\(743\) 12.0743 + 20.9132i 0.442961 + 0.767232i 0.997908 0.0646544i \(-0.0205945\pi\)
−0.554946 + 0.831886i \(0.687261\pi\)
\(744\) −3.53577 + 0.835288i −0.129628 + 0.0306231i
\(745\) 29.9129 51.8107i 1.09592 1.89820i
\(746\) 4.59396 3.33771i 0.168197 0.122202i
\(747\) −25.0587 + 11.1568i −0.916850 + 0.408208i
\(748\) 0.0632155 + 0.0702080i 0.00231139 + 0.00256706i
\(749\) −1.61117 −0.0588708
\(750\) −2.25968 + 3.91389i −0.0825120 + 0.142915i
\(751\) 39.9661 8.49505i 1.45838 0.309989i 0.590613 0.806955i \(-0.298886\pi\)
0.867770 + 0.496966i \(0.165553\pi\)
\(752\) −3.15623 + 3.50535i −0.115096 + 0.127827i
\(753\) 0.765774 + 2.35681i 0.0279063 + 0.0858869i
\(754\) −10.0215 3.14298i −0.364961 0.114460i