Properties

Label 403.2.bs.a.4.5
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.5
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.490829 + 2.30917i) q^{2} +(2.17363 + 2.41407i) q^{3} +(-3.26425 - 1.45334i) q^{4} -1.85570i q^{5} +(-6.64136 + 3.83439i) q^{6} +(-1.05002 + 2.35838i) q^{7} +(2.18296 - 3.00459i) q^{8} +(-0.789440 + 7.51102i) q^{9} +O(q^{10})\) \(q+(-0.490829 + 2.30917i) q^{2} +(2.17363 + 2.41407i) q^{3} +(-3.26425 - 1.45334i) q^{4} -1.85570i q^{5} +(-6.64136 + 3.83439i) q^{6} +(-1.05002 + 2.35838i) q^{7} +(2.18296 - 3.00459i) q^{8} +(-0.789440 + 7.51102i) q^{9} +(4.28511 + 0.910829i) q^{10} +(0.824110 - 0.0866174i) q^{11} +(-3.58684 - 11.0391i) q^{12} +(1.84810 + 3.09589i) q^{13} +(-4.93051 - 3.58222i) q^{14} +(4.47977 - 4.03360i) q^{15} +(1.08480 + 1.20479i) q^{16} +(0.396669 - 3.77405i) q^{17} +(-16.9567 - 5.50958i) q^{18} +(-3.65639 - 3.29223i) q^{19} +(-2.69696 + 6.05746i) q^{20} +(-7.97563 + 2.59144i) q^{21} +(-0.204483 + 1.94552i) q^{22} +(1.70234 - 0.757931i) q^{23} +(11.9982 - 1.26106i) q^{24} +1.55639 q^{25} +(-8.05603 + 2.74802i) q^{26} +(-11.9639 + 8.69229i) q^{27} +(6.85504 - 6.17231i) q^{28} +(3.58482 + 0.761977i) q^{29} +(7.11547 + 12.3244i) q^{30} +(4.20136 - 3.65357i) q^{31} +(3.11810 - 1.80024i) q^{32} +(2.00041 + 1.80118i) q^{33} +(8.52023 + 2.76839i) q^{34} +(4.37643 + 1.94851i) q^{35} +(13.4930 - 23.3706i) q^{36} +(-7.17635 - 4.14327i) q^{37} +(9.39697 - 6.82730i) q^{38} +(-3.45658 + 11.1908i) q^{39} +(-5.57560 - 4.05091i) q^{40} +(-2.17141 + 10.2157i) q^{41} +(-2.06940 - 19.6890i) q^{42} +(0.525350 - 0.583460i) q^{43} +(-2.81599 - 0.914970i) q^{44} +(13.9382 + 1.46496i) q^{45} +(0.914633 + 4.30301i) q^{46} +(4.31066 + 1.40062i) q^{47} +(-0.550488 + 5.23755i) q^{48} +(0.224511 + 0.249345i) q^{49} +(-0.763922 + 3.59397i) q^{50} +(9.97303 - 7.24583i) q^{51} +(-1.53329 - 12.7917i) q^{52} +(7.92660 + 5.75901i) q^{53} +(-14.1997 - 31.8931i) q^{54} +(-0.160736 - 1.52930i) q^{55} +(4.79380 + 8.30310i) q^{56} -15.9829i q^{57} +(-3.51906 + 7.90395i) q^{58} +(1.20323 + 5.66076i) q^{59} +(-20.4853 + 6.65608i) q^{60} +(3.52621 + 6.10758i) q^{61} +(6.37455 + 11.4949i) q^{62} +(-16.8849 - 9.74850i) q^{63} +(3.62855 + 11.1675i) q^{64} +(5.74503 - 3.42951i) q^{65} +(-5.14109 + 3.73522i) q^{66} +(-9.72798 - 5.61645i) q^{67} +(-6.77981 + 11.7430i) q^{68} +(5.52996 + 2.46210i) q^{69} +(-6.64752 + 9.14952i) q^{70} +(-1.92664 - 0.202498i) q^{71} +(20.8442 + 18.7682i) q^{72} +(-6.24780 - 8.59936i) q^{73} +(13.0899 - 14.5378i) q^{74} +(3.38303 + 3.75723i) q^{75} +(7.15066 + 16.0607i) q^{76} +(-0.661053 + 2.03451i) q^{77} +(-24.1448 - 13.4746i) q^{78} +(0.363879 + 0.264374i) q^{79} +(2.23572 - 2.01306i) q^{80} +(-24.8269 - 5.27711i) q^{81} +(-22.5240 - 10.0283i) q^{82} +(-7.54362 + 2.45107i) q^{83} +(29.8007 + 3.13218i) q^{84} +(-7.00350 - 0.736097i) q^{85} +(1.08945 + 1.49950i) q^{86} +(5.95262 + 10.3102i) q^{87} +(1.53875 - 2.66519i) q^{88} +(11.2700 - 1.18452i) q^{89} +(-10.2241 + 31.4666i) q^{90} +(-9.24181 + 1.10778i) q^{91} -6.65841 q^{92} +(17.9522 + 2.20084i) q^{93} +(-5.35006 + 9.26657i) q^{94} +(-6.10938 + 6.78515i) q^{95} +(11.1235 + 3.61424i) q^{96} +(7.41831 - 16.6618i) q^{97} +(-0.685977 + 0.396049i) q^{98} +6.25829i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

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

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.490829 + 2.30917i −0.347068 + 1.63283i 0.365206 + 0.930927i \(0.380999\pi\)
−0.712274 + 0.701902i \(0.752335\pi\)
\(3\) 2.17363 + 2.41407i 1.25495 + 1.39376i 0.885586 + 0.464476i \(0.153757\pi\)
0.369363 + 0.929285i \(0.379576\pi\)
\(4\) −3.26425 1.45334i −1.63213 0.726670i
\(5\) 1.85570i 0.829892i −0.909846 0.414946i \(-0.863800\pi\)
0.909846 0.414946i \(-0.136200\pi\)
\(6\) −6.64136 + 3.83439i −2.71133 + 1.56538i
\(7\) −1.05002 + 2.35838i −0.396869 + 0.891382i 0.599014 + 0.800738i \(0.295559\pi\)
−0.995883 + 0.0906441i \(0.971107\pi\)
\(8\) 2.18296 3.00459i 0.771793 1.06228i
\(9\) −0.789440 + 7.51102i −0.263147 + 2.50367i
\(10\) 4.28511 + 0.910829i 1.35507 + 0.288029i
\(11\) 0.824110 0.0866174i 0.248478 0.0261161i 0.0205296 0.999789i \(-0.493465\pi\)
0.227949 + 0.973673i \(0.426798\pi\)
\(12\) −3.58684 11.0391i −1.03543 3.18673i
\(13\) 1.84810 + 3.09589i 0.512571 + 0.858645i
\(14\) −4.93051 3.58222i −1.31773 0.957390i
\(15\) 4.47977 4.03360i 1.15667 1.04147i
\(16\) 1.08480 + 1.20479i 0.271199 + 0.301198i
\(17\) 0.396669 3.77405i 0.0962064 0.915342i −0.834853 0.550474i \(-0.814447\pi\)
0.931059 0.364869i \(-0.118886\pi\)
\(18\) −16.9567 5.50958i −3.99674 1.29862i
\(19\) −3.65639 3.29223i −0.838834 0.755289i 0.132960 0.991121i \(-0.457552\pi\)
−0.971794 + 0.235832i \(0.924218\pi\)
\(20\) −2.69696 + 6.05746i −0.603058 + 1.35449i
\(21\) −7.97563 + 2.59144i −1.74042 + 0.565498i
\(22\) −0.204483 + 1.94552i −0.0435959 + 0.414787i
\(23\) 1.70234 0.757931i 0.354963 0.158040i −0.221506 0.975159i \(-0.571097\pi\)
0.576468 + 0.817119i \(0.304430\pi\)
\(24\) 11.9982 1.26106i 2.44913 0.257414i
\(25\) 1.55639 0.311278
\(26\) −8.05603 + 2.74802i −1.57992 + 0.538932i
\(27\) −11.9639 + 8.69229i −2.30246 + 1.67283i
\(28\) 6.85504 6.17231i 1.29548 1.16646i
\(29\) 3.58482 + 0.761977i 0.665684 + 0.141495i 0.528347 0.849029i \(-0.322812\pi\)
0.137337 + 0.990524i \(0.456146\pi\)
\(30\) 7.11547 + 12.3244i 1.29910 + 2.25011i
\(31\) 4.20136 3.65357i 0.754587 0.656200i
\(32\) 3.11810 1.80024i 0.551208 0.318240i
\(33\) 2.00041 + 1.80118i 0.348227 + 0.313545i
\(34\) 8.52023 + 2.76839i 1.46121 + 0.474775i
\(35\) 4.37643 + 1.94851i 0.739752 + 0.329359i
\(36\) 13.4930 23.3706i 2.24883 3.89509i
\(37\) −7.17635 4.14327i −1.17978 0.681149i −0.223820 0.974631i \(-0.571853\pi\)
−0.955965 + 0.293482i \(0.905186\pi\)
\(38\) 9.39697 6.82730i 1.52439 1.10753i
\(39\) −3.45658 + 11.1908i −0.553496 + 1.79196i
\(40\) −5.57560 4.05091i −0.881579 0.640505i
\(41\) −2.17141 + 10.2157i −0.339118 + 1.59542i 0.396506 + 0.918032i \(0.370223\pi\)
−0.735623 + 0.677391i \(0.763111\pi\)
\(42\) −2.06940 19.6890i −0.319315 3.03808i
\(43\) 0.525350 0.583460i 0.0801151 0.0889769i −0.701754 0.712419i \(-0.747600\pi\)
0.781870 + 0.623442i \(0.214266\pi\)
\(44\) −2.81599 0.914970i −0.424526 0.137937i
\(45\) 13.9382 + 1.46496i 2.07778 + 0.218384i
\(46\) 0.914633 + 4.30301i 0.134855 + 0.634444i
\(47\) 4.31066 + 1.40062i 0.628774 + 0.204301i 0.606032 0.795440i \(-0.292760\pi\)
0.0227422 + 0.999741i \(0.492760\pi\)
\(48\) −0.550488 + 5.23755i −0.0794561 + 0.755975i
\(49\) 0.224511 + 0.249345i 0.0320731 + 0.0356207i
\(50\) −0.763922 + 3.59397i −0.108035 + 0.508264i
\(51\) 9.97303 7.24583i 1.39650 1.01462i
\(52\) −1.53329 12.7917i −0.212630 1.77389i
\(53\) 7.92660 + 5.75901i 1.08880 + 0.791061i 0.979197 0.202914i \(-0.0650411\pi\)
0.109606 + 0.993975i \(0.465041\pi\)
\(54\) −14.1997 31.8931i −1.93234 4.34010i
\(55\) −0.160736 1.52930i −0.0216736 0.206210i
\(56\) 4.79380 + 8.30310i 0.640598 + 1.10955i
\(57\) 15.9829i 2.11698i
\(58\) −3.51906 + 7.90395i −0.462076 + 1.03784i
\(59\) 1.20323 + 5.66076i 0.156647 + 0.736968i 0.984410 + 0.175890i \(0.0562802\pi\)
−0.827762 + 0.561079i \(0.810386\pi\)
\(60\) −20.4853 + 6.65608i −2.64464 + 0.859296i
\(61\) 3.52621 + 6.10758i 0.451485 + 0.781995i 0.998479 0.0551419i \(-0.0175611\pi\)
−0.546994 + 0.837137i \(0.684228\pi\)
\(62\) 6.37455 + 11.4949i 0.809569 + 1.45986i
\(63\) −16.8849 9.74850i −2.12730 1.22820i
\(64\) 3.62855 + 11.1675i 0.453569 + 1.39594i
\(65\) 5.74503 3.42951i 0.712583 0.425379i
\(66\) −5.14109 + 3.73522i −0.632824 + 0.459774i
\(67\) −9.72798 5.61645i −1.18846 0.686158i −0.230505 0.973071i \(-0.574038\pi\)
−0.957957 + 0.286913i \(0.907371\pi\)
\(68\) −6.77981 + 11.7430i −0.822173 + 1.42404i
\(69\) 5.52996 + 2.46210i 0.665730 + 0.296402i
\(70\) −6.64752 + 9.14952i −0.794530 + 1.09358i
\(71\) −1.92664 0.202498i −0.228650 0.0240321i −0.0104894 0.999945i \(-0.503339\pi\)
−0.218160 + 0.975913i \(0.570006\pi\)
\(72\) 20.8442 + 18.7682i 2.45651 + 2.21185i
\(73\) −6.24780 8.59936i −0.731250 1.00648i −0.999075 0.0430117i \(-0.986305\pi\)
0.267824 0.963468i \(-0.413695\pi\)
\(74\) 13.0899 14.5378i 1.52167 1.68998i
\(75\) 3.38303 + 3.75723i 0.390638 + 0.433848i
\(76\) 7.15066 + 16.0607i 0.820237 + 1.84228i
\(77\) −0.661053 + 2.03451i −0.0753339 + 0.231854i
\(78\) −24.1448 13.4746i −2.73386 1.52570i
\(79\) 0.363879 + 0.264374i 0.0409396 + 0.0297443i 0.608067 0.793886i \(-0.291945\pi\)
−0.567127 + 0.823630i \(0.691945\pi\)
\(80\) 2.23572 2.01306i 0.249962 0.225066i
\(81\) −24.8269 5.27711i −2.75854 0.586346i
\(82\) −22.5240 10.0283i −2.48735 1.10744i
\(83\) −7.54362 + 2.45107i −0.828019 + 0.269040i −0.692211 0.721695i \(-0.743363\pi\)
−0.135808 + 0.990735i \(0.543363\pi\)
\(84\) 29.8007 + 3.13218i 3.25152 + 0.341749i
\(85\) −7.00350 0.736097i −0.759636 0.0798409i
\(86\) 1.08945 + 1.49950i 0.117479 + 0.161695i
\(87\) 5.95262 + 10.3102i 0.638188 + 1.10537i
\(88\) 1.53875 2.66519i 0.164031 0.284110i
\(89\) 11.2700 1.18452i 1.19462 0.125559i 0.513733 0.857950i \(-0.328262\pi\)
0.680885 + 0.732391i \(0.261596\pi\)
\(90\) −10.2241 + 31.4666i −1.07771 + 3.31687i
\(91\) −9.24181 + 1.10778i −0.968804 + 0.116127i
\(92\) −6.65841 −0.694187
\(93\) 17.9522 + 2.20084i 1.86155 + 0.228216i
\(94\) −5.35006 + 9.26657i −0.551816 + 0.955774i
\(95\) −6.10938 + 6.78515i −0.626809 + 0.696142i
\(96\) 11.1235 + 3.61424i 1.13529 + 0.368877i
\(97\) 7.41831 16.6618i 0.753215 1.69175i 0.0315552 0.999502i \(-0.489954\pi\)
0.721660 0.692247i \(-0.243379\pi\)
\(98\) −0.685977 + 0.396049i −0.0692941 + 0.0400070i
\(99\) 6.25829i 0.628982i
\(100\) −5.08046 2.26197i −0.508046 0.226197i
\(101\) 16.2424 7.23158i 1.61618 0.719569i 0.618379 0.785880i \(-0.287790\pi\)
0.997799 + 0.0663111i \(0.0211230\pi\)
\(102\) 11.8368 + 26.5859i 1.17202 + 2.63239i
\(103\) −1.34228 4.13110i −0.132258 0.407049i 0.862895 0.505383i \(-0.168649\pi\)
−0.995153 + 0.0983337i \(0.968649\pi\)
\(104\) 13.3362 + 1.20542i 1.30772 + 0.118201i
\(105\) 4.80892 + 14.8003i 0.469303 + 1.44437i
\(106\) −17.1891 + 15.4772i −1.66956 + 1.50328i
\(107\) −7.73832 + 3.44532i −0.748091 + 0.333072i −0.745126 0.666924i \(-0.767611\pi\)
−0.00296550 + 0.999996i \(0.500944\pi\)
\(108\) 51.6861 10.9862i 4.97350 1.05715i
\(109\) 16.2481 + 5.27933i 1.55629 + 0.505668i 0.955813 0.293977i \(-0.0949789\pi\)
0.600473 + 0.799645i \(0.294979\pi\)
\(110\) 3.61030 + 0.379458i 0.344228 + 0.0361799i
\(111\) −5.59664 26.3301i −0.531210 2.49914i
\(112\) −3.98040 + 1.29331i −0.376113 + 0.122206i
\(113\) 10.9178 + 4.86091i 1.02706 + 0.457276i 0.849921 0.526910i \(-0.176650\pi\)
0.177137 + 0.984186i \(0.443316\pi\)
\(114\) 36.9071 + 7.84485i 3.45667 + 0.734738i
\(115\) −1.40649 3.15903i −0.131156 0.294581i
\(116\) −10.5943 7.69724i −0.983660 0.714671i
\(117\) −24.7123 + 11.4371i −2.28465 + 1.05736i
\(118\) −13.6622 −1.25771
\(119\) 8.48413 + 4.89831i 0.777739 + 0.449028i
\(120\) −2.34015 22.2650i −0.213626 2.03251i
\(121\) −10.0880 + 2.14426i −0.917088 + 0.194933i
\(122\) −15.8342 + 5.14484i −1.43356 + 0.465792i
\(123\) −29.3812 + 16.9632i −2.64921 + 1.52952i
\(124\) −19.0242 + 5.82017i −1.70842 + 0.522667i
\(125\) 12.1667i 1.08822i
\(126\) 30.7985 34.2052i 2.74375 3.04724i
\(127\) −5.18549 5.75907i −0.460138 0.511035i 0.467767 0.883852i \(-0.345059\pi\)
−0.927905 + 0.372817i \(0.878392\pi\)
\(128\) −20.4072 + 2.14489i −1.80376 + 0.189583i
\(129\) 2.55043 0.224553
\(130\) 5.09950 + 14.9495i 0.447256 + 1.31116i
\(131\) −4.59002 + 3.33484i −0.401032 + 0.291367i −0.769961 0.638091i \(-0.779724\pi\)
0.368929 + 0.929457i \(0.379724\pi\)
\(132\) −3.91213 8.78679i −0.340507 0.764792i
\(133\) 11.6036 5.16625i 1.00616 0.447971i
\(134\) 17.7441 19.7068i 1.53286 1.70241i
\(135\) 16.1303 + 22.2014i 1.38827 + 1.91079i
\(136\) −10.4736 9.43043i −0.898100 0.808653i
\(137\) −4.10063 19.2920i −0.350341 1.64822i −0.702060 0.712118i \(-0.747736\pi\)
0.351719 0.936105i \(-0.385597\pi\)
\(138\) −8.39967 + 11.5611i −0.715027 + 0.984150i
\(139\) −4.77287 + 1.01451i −0.404830 + 0.0860492i −0.405826 0.913950i \(-0.633016\pi\)
0.000996465 1.00000i \(0.499683\pi\)
\(140\) −11.4539 12.7209i −0.968033 1.07511i
\(141\) 5.98861 + 13.4506i 0.504332 + 1.13275i
\(142\) 1.41325 4.34954i 0.118597 0.365005i
\(143\) 1.79120 + 2.39127i 0.149787 + 0.199968i
\(144\) −9.90559 + 7.19683i −0.825466 + 0.599736i
\(145\) 1.41400 6.65233i 0.117426 0.552446i
\(146\) 22.9240 10.2064i 1.89720 0.844689i
\(147\) −0.113930 + 1.08397i −0.00939678 + 0.0894044i
\(148\) 17.4039 + 23.9543i 1.43059 + 1.96904i
\(149\) −7.31871 + 4.22546i −0.599572 + 0.346163i −0.768873 0.639401i \(-0.779182\pi\)
0.169301 + 0.985564i \(0.445849\pi\)
\(150\) −10.3366 + 5.96782i −0.843977 + 0.487271i
\(151\) −0.738798 1.01687i −0.0601226 0.0827516i 0.777897 0.628392i \(-0.216287\pi\)
−0.838020 + 0.545640i \(0.816287\pi\)
\(152\) −17.8735 + 3.79914i −1.44974 + 0.308151i
\(153\) 28.0339 + 5.95878i 2.26640 + 0.481739i
\(154\) −4.37356 2.52508i −0.352432 0.203477i
\(155\) −6.77991 7.79645i −0.544576 0.626226i
\(156\) 27.5471 31.5059i 2.20554 2.52249i
\(157\) −1.58617 4.88174i −0.126591 0.389606i 0.867597 0.497268i \(-0.165663\pi\)
−0.994188 + 0.107662i \(0.965663\pi\)
\(158\) −0.789085 + 0.710495i −0.0627762 + 0.0565240i
\(159\) 3.32690 + 31.6533i 0.263840 + 2.51027i
\(160\) −3.34069 5.78625i −0.264105 0.457443i
\(161\) 4.81060i 0.379129i
\(162\) 24.3715 54.7392i 1.91480 4.30072i
\(163\) 18.7620 + 1.97196i 1.46955 + 0.154456i 0.805217 0.592981i \(-0.202049\pi\)
0.664333 + 0.747437i \(0.268716\pi\)
\(164\) 21.9349 30.1908i 1.71283 2.35751i
\(165\) 3.34244 3.71216i 0.260209 0.288991i
\(166\) −1.95731 18.6225i −0.151916 1.44539i
\(167\) 0.212334 0.998954i 0.0164309 0.0773014i −0.969168 0.246400i \(-0.920752\pi\)
0.985599 + 0.169099i \(0.0540856\pi\)
\(168\) −9.62427 + 29.6205i −0.742528 + 2.28527i
\(169\) −6.16905 + 11.4430i −0.474542 + 0.880233i
\(170\) 5.13729 15.8110i 0.394012 1.21264i
\(171\) 27.6145 24.8642i 2.11174 1.90142i
\(172\) −2.56284 + 1.14105i −0.195415 + 0.0870043i
\(173\) 8.78001 1.86625i 0.667532 0.141888i 0.138333 0.990386i \(-0.455826\pi\)
0.529199 + 0.848498i \(0.322492\pi\)
\(174\) −26.7298 + 8.68504i −2.02638 + 0.658411i
\(175\) −1.63424 + 3.67056i −0.123537 + 0.277468i
\(176\) 0.998349 + 0.898917i 0.0752534 + 0.0677584i
\(177\) −11.0501 + 15.2091i −0.830573 + 1.14319i
\(178\) −2.79637 + 26.6057i −0.209597 + 1.99418i
\(179\) −2.08901 19.8756i −0.156140 1.48557i −0.739390 0.673277i \(-0.764886\pi\)
0.583250 0.812292i \(-0.301781\pi\)
\(180\) −43.3687 25.0389i −3.23251 1.86629i
\(181\) −19.4084 −1.44261 −0.721306 0.692617i \(-0.756458\pi\)
−0.721306 + 0.692617i \(0.756458\pi\)
\(182\) 1.97809 21.8846i 0.146626 1.62220i
\(183\) −7.07939 + 21.7881i −0.523324 + 1.61063i
\(184\) 1.43887 6.76936i 0.106075 0.499044i
\(185\) −7.68865 + 13.3171i −0.565280 + 0.979094i
\(186\) −13.8936 + 40.3744i −1.01872 + 2.96039i
\(187\) 3.14459i 0.229955i
\(188\) −12.0355 10.8368i −0.877780 0.790357i
\(189\) −7.93739 37.3425i −0.577360 2.71626i
\(190\) −12.6694 17.4379i −0.919135 1.26508i
\(191\) −3.01738 5.22626i −0.218330 0.378159i 0.735967 0.677017i \(-0.236728\pi\)
−0.954298 + 0.298858i \(0.903394\pi\)
\(192\) −19.0720 + 33.0337i −1.37641 + 2.38400i
\(193\) −16.5224 + 1.73658i −1.18931 + 0.125002i −0.678440 0.734656i \(-0.737344\pi\)
−0.510871 + 0.859657i \(0.670677\pi\)
\(194\) 34.8338 + 25.3082i 2.50092 + 1.81702i
\(195\) 20.7667 + 6.41436i 1.48713 + 0.459342i
\(196\) −0.370479 1.14022i −0.0264628 0.0814441i
\(197\) 5.92895 0.623158i 0.422420 0.0443982i 0.109066 0.994034i \(-0.465214\pi\)
0.313354 + 0.949636i \(0.398547\pi\)
\(198\) −14.4514 3.07175i −1.02702 0.218300i
\(199\) −16.6975 + 3.54916i −1.18365 + 0.251593i −0.757363 0.652994i \(-0.773513\pi\)
−0.426289 + 0.904587i \(0.640179\pi\)
\(200\) 3.39754 4.67631i 0.240242 0.330665i
\(201\) −7.58658 35.6921i −0.535116 2.51752i
\(202\) 8.72670 + 41.0559i 0.614008 + 2.88868i
\(203\) −5.56115 + 7.65426i −0.390316 + 0.537224i
\(204\) −43.0851 + 9.15803i −3.01656 + 0.641190i
\(205\) 18.9572 + 4.02948i 1.32403 + 0.281431i
\(206\) 10.1982 1.07188i 0.710544 0.0746812i
\(207\) 4.34894 + 13.3847i 0.302272 + 0.930299i
\(208\) −1.72508 + 5.58499i −0.119613 + 0.387249i
\(209\) −3.29843 2.39645i −0.228157 0.165766i
\(210\) −36.5368 + 3.84018i −2.52128 + 0.264997i
\(211\) 13.8203 23.9374i 0.951426 1.64792i 0.209083 0.977898i \(-0.432952\pi\)
0.742343 0.670020i \(-0.233715\pi\)
\(212\) −17.5046 30.3189i −1.20222 2.08231i
\(213\) −3.69896 5.09118i −0.253449 0.348842i
\(214\) −4.15764 19.5601i −0.284210 1.33710i
\(215\) −1.08273 0.974890i −0.0738412 0.0664870i
\(216\) 54.9215i 3.73694i
\(217\) 4.20499 + 13.7447i 0.285453 + 0.933051i
\(218\) −20.1659 + 34.9283i −1.36581 + 2.36565i
\(219\) 7.17899 33.7745i 0.485111 2.28227i
\(220\) −1.69791 + 5.22562i −0.114473 + 0.352311i
\(221\) 12.4171 5.74679i 0.835267 0.386571i
\(222\) 63.5477 4.26504
\(223\) −1.98357 1.14522i −0.132830 0.0766894i 0.432113 0.901820i \(-0.357768\pi\)
−0.564942 + 0.825130i \(0.691102\pi\)
\(224\) 0.971577 + 9.24393i 0.0649162 + 0.617636i
\(225\) −1.22868 + 11.6901i −0.0819119 + 0.779340i
\(226\) −16.5834 + 22.8251i −1.10311 + 1.51830i
\(227\) −10.6447 9.58451i −0.706512 0.636146i 0.235442 0.971888i \(-0.424346\pi\)
−0.941954 + 0.335742i \(0.891013\pi\)
\(228\) −23.2285 + 52.1721i −1.53835 + 3.45518i
\(229\) 0.981891 0.319036i 0.0648852 0.0210825i −0.276395 0.961044i \(-0.589140\pi\)
0.341280 + 0.939962i \(0.389140\pi\)
\(230\) 7.98508 1.69728i 0.526520 0.111915i
\(231\) −6.34833 + 2.82646i −0.417689 + 0.185967i
\(232\) 10.1149 9.10753i 0.664078 0.597938i
\(233\) 1.87544 5.77200i 0.122864 0.378136i −0.870642 0.491917i \(-0.836296\pi\)
0.993506 + 0.113781i \(0.0362962\pi\)
\(234\) −14.2807 62.6784i −0.933560 4.09742i
\(235\) 2.59912 7.99927i 0.169548 0.521815i
\(236\) 4.29935 20.2269i 0.279864 1.31666i
\(237\) 0.152725 + 1.45308i 0.00992054 + 0.0943876i
\(238\) −15.4753 + 17.1870i −1.00311 + 1.11407i
\(239\) −3.16710 + 4.35914i −0.204863 + 0.281969i −0.899069 0.437807i \(-0.855755\pi\)
0.694206 + 0.719776i \(0.255755\pi\)
\(240\) 9.71929 + 1.02154i 0.627378 + 0.0659401i
\(241\) 0.392337 0.881204i 0.0252727 0.0567633i −0.900468 0.434922i \(-0.856776\pi\)
0.925741 + 0.378159i \(0.123443\pi\)
\(242\) 24.3473i 1.56510i
\(243\) −19.0429 32.9833i −1.22160 2.11588i
\(244\) −2.63407 25.0615i −0.168629 1.60440i
\(245\) 0.462709 0.416625i 0.0295614 0.0266172i
\(246\) −24.7498 76.1722i −1.57799 4.85656i
\(247\) 3.43500 17.4042i 0.218564 1.10740i
\(248\) −1.80606 20.5989i −0.114685 1.30803i
\(249\) −22.3141 12.8831i −1.41410 0.816430i
\(250\) 28.0949 + 5.97175i 1.77688 + 0.377687i
\(251\) −12.3375 + 2.62241i −0.778735 + 0.165525i −0.580097 0.814548i \(-0.696985\pi\)
−0.198639 + 0.980073i \(0.563652\pi\)
\(252\) 40.9487 + 56.3610i 2.57953 + 3.55041i
\(253\) 1.33727 0.772071i 0.0840732 0.0485397i
\(254\) 15.8438 9.14745i 0.994131 0.573962i
\(255\) −13.4461 18.5069i −0.842025 1.15895i
\(256\) 2.60876 24.8207i 0.163047 1.55129i
\(257\) 1.79692 0.800041i 0.112089 0.0499052i −0.349926 0.936777i \(-0.613793\pi\)
0.462015 + 0.886872i \(0.347127\pi\)
\(258\) −1.25182 + 5.88937i −0.0779352 + 0.366656i
\(259\) 17.3067 12.5740i 1.07538 0.781312i
\(260\) −23.7375 + 2.84533i −1.47214 + 0.176460i
\(261\) −8.55322 + 26.3241i −0.529431 + 1.62942i
\(262\) −5.44780 12.2360i −0.336566 0.755940i
\(263\) 11.7115 + 13.0069i 0.722160 + 0.802040i 0.986737 0.162324i \(-0.0518991\pi\)
−0.264577 + 0.964364i \(0.585232\pi\)
\(264\) 9.77862 2.07851i 0.601833 0.127923i
\(265\) 10.6870 14.7094i 0.656496 0.903589i
\(266\) 6.23437 + 29.3304i 0.382253 + 1.79836i
\(267\) 27.3564 + 24.6318i 1.67418 + 1.50744i
\(268\) 23.5920 + 32.4716i 1.44111 + 1.98352i
\(269\) 7.32256 8.13253i 0.446465 0.495849i −0.477337 0.878720i \(-0.658398\pi\)
0.923802 + 0.382871i \(0.125065\pi\)
\(270\) −59.1839 + 26.3504i −3.60182 + 1.60363i
\(271\) 4.80981 + 10.8030i 0.292175 + 0.656236i 0.998674 0.0514778i \(-0.0163931\pi\)
−0.706499 + 0.707714i \(0.749726\pi\)
\(272\) 4.97725 3.61618i 0.301790 0.219263i
\(273\) −22.7626 19.9024i −1.37765 1.20455i
\(274\) 46.5611 2.81286
\(275\) 1.28264 0.134811i 0.0773460 0.00812939i
\(276\) −14.4729 16.0738i −0.871169 0.967531i
\(277\) −0.199341 + 0.221390i −0.0119772 + 0.0133021i −0.749104 0.662453i \(-0.769516\pi\)
0.737126 + 0.675755i \(0.236182\pi\)
\(278\) 11.5193i 0.690882i
\(279\) 24.1253 + 34.4408i 1.44434 + 2.06192i
\(280\) 15.4080 8.89583i 0.920806 0.531628i
\(281\) −4.01961 + 1.30605i −0.239790 + 0.0779123i −0.426446 0.904513i \(-0.640235\pi\)
0.186657 + 0.982425i \(0.440235\pi\)
\(282\) −33.9992 + 7.22675i −2.02462 + 0.430347i
\(283\) −1.81809 17.2979i −0.108074 1.02826i −0.905357 0.424651i \(-0.860397\pi\)
0.797283 0.603605i \(-0.206270\pi\)
\(284\) 5.99473 + 3.46106i 0.355722 + 0.205376i
\(285\) −29.6594 −1.75687
\(286\) −6.40103 + 2.96247i −0.378501 + 0.175174i
\(287\) −21.8124 15.8477i −1.28755 0.935457i
\(288\) 11.0601 + 24.8413i 0.651721 + 1.46379i
\(289\) 2.54237 + 0.540398i 0.149551 + 0.0317881i
\(290\) 14.6673 + 6.53031i 0.861295 + 0.383473i
\(291\) 56.3474 18.3084i 3.30314 1.07326i
\(292\) 7.89662 + 37.1507i 0.462115 + 2.17408i
\(293\) −10.6312 1.11739i −0.621083 0.0652785i −0.211240 0.977434i \(-0.567750\pi\)
−0.409844 + 0.912156i \(0.634417\pi\)
\(294\) −2.44715 0.795127i −0.142721 0.0463728i
\(295\) 10.5047 2.23283i 0.611604 0.130001i
\(296\) −28.1145 + 12.5174i −1.63412 + 0.727557i
\(297\) −9.10668 + 8.19969i −0.528423 + 0.475794i
\(298\) −6.16506 18.9741i −0.357133 1.09914i
\(299\) 5.49257 + 3.86953i 0.317644 + 0.223780i
\(300\) −5.58253 17.1812i −0.322307 0.991960i
\(301\) 0.824393 + 1.85162i 0.0475172 + 0.106725i
\(302\) 2.71074 1.20690i 0.155986 0.0694494i
\(303\) 52.7625 + 23.4914i 3.03113 + 1.34954i
\(304\) 7.97659i 0.457489i
\(305\) 11.3338 6.54357i 0.648972 0.374684i
\(306\) −27.5197 + 61.8102i −1.57319 + 3.53345i
\(307\) 5.44044 + 1.76771i 0.310502 + 0.100888i 0.460123 0.887855i \(-0.347805\pi\)
−0.149621 + 0.988743i \(0.547805\pi\)
\(308\) 5.11468 5.68043i 0.291436 0.323672i
\(309\) 7.05513 12.2198i 0.401352 0.695162i
\(310\) 21.3311 11.8292i 1.21152 0.671855i
\(311\) 12.4544 0.706226 0.353113 0.935581i \(-0.385123\pi\)
0.353113 + 0.935581i \(0.385123\pi\)
\(312\) 26.0780 + 34.8146i 1.47638 + 1.97099i
\(313\) 7.36195 22.6578i 0.416122 1.28069i −0.495121 0.868824i \(-0.664876\pi\)
0.911243 0.411868i \(-0.135124\pi\)
\(314\) 12.0513 1.26664i 0.680095 0.0714808i
\(315\) −18.0902 + 31.3332i −1.01927 + 1.76543i
\(316\) −0.803569 1.39182i −0.0452043 0.0782961i
\(317\) 1.78074 + 2.45098i 0.100016 + 0.137661i 0.856092 0.516824i \(-0.172886\pi\)
−0.756075 + 0.654484i \(0.772886\pi\)
\(318\) −74.7258 7.85400i −4.19041 0.440430i
\(319\) 3.02028 + 0.317445i 0.169103 + 0.0177735i
\(320\) 20.7236 6.73349i 1.15848 0.376414i
\(321\) −25.1375 11.1919i −1.40304 0.624673i
\(322\) −11.1085 2.36118i −0.619052 0.131584i
\(323\) −13.8754 + 12.4935i −0.772050 + 0.695157i
\(324\) 73.3717 + 53.3077i 4.07621 + 2.96154i
\(325\) 2.87637 + 4.81842i 0.159552 + 0.267278i
\(326\) −13.7625 + 42.3566i −0.762234 + 2.34592i
\(327\) 22.5728 + 50.6993i 1.24828 + 2.80368i
\(328\) 25.9538 + 28.8246i 1.43306 + 1.59157i
\(329\) −7.82945 + 8.69548i −0.431652 + 0.479398i
\(330\) 6.93143 + 9.54030i 0.381563 + 0.525176i
\(331\) −5.36589 4.83147i −0.294936 0.265561i 0.508356 0.861147i \(-0.330253\pi\)
−0.803292 + 0.595586i \(0.796920\pi\)
\(332\) 28.1865 + 2.96252i 1.54694 + 0.162589i
\(333\) 36.7855 50.6309i 2.01583 2.77455i
\(334\) 2.20253 + 0.980631i 0.120517 + 0.0536577i
\(335\) −10.4224 + 18.0522i −0.569438 + 0.986295i
\(336\) −11.7741 6.79777i −0.642329 0.370849i
\(337\) −11.4332 + 8.30672i −0.622807 + 0.452496i −0.853901 0.520436i \(-0.825770\pi\)
0.231094 + 0.972931i \(0.425770\pi\)
\(338\) −23.3959 19.8619i −1.27257 1.08035i
\(339\) 11.9967 + 36.9221i 0.651572 + 2.00533i
\(340\) 21.7914 + 12.5813i 1.18180 + 0.682315i
\(341\) 3.14592 3.37485i 0.170361 0.182759i
\(342\) 43.8617 + 75.9707i 2.37177 + 4.10802i
\(343\) −18.0103 + 5.85190i −0.972464 + 0.315973i
\(344\) −0.606239 2.85213i −0.0326862 0.153776i
\(345\) 4.56891 10.2619i 0.245982 0.552484i
\(346\) 21.1905i 1.13921i
\(347\) 1.93328 + 3.34854i 0.103784 + 0.179759i 0.913241 0.407420i \(-0.133572\pi\)
−0.809457 + 0.587179i \(0.800238\pi\)
\(348\) −4.44658 42.3064i −0.238362 2.26786i
\(349\) 7.15155 + 16.0626i 0.382814 + 0.859813i 0.997475 + 0.0710222i \(0.0226261\pi\)
−0.614661 + 0.788791i \(0.710707\pi\)
\(350\) −7.67381 5.57535i −0.410182 0.298015i
\(351\) −49.0209 20.9747i −2.61654 1.11955i
\(352\) 2.41373 1.75367i 0.128652 0.0934712i
\(353\) 0.669070 3.14773i 0.0356110 0.167537i −0.956749 0.290916i \(-0.906040\pi\)
0.992360 + 0.123380i \(0.0393733\pi\)
\(354\) −29.6967 32.9815i −1.57836 1.75295i
\(355\) −0.375774 + 3.57525i −0.0199440 + 0.189755i
\(356\) −38.5096 12.5125i −2.04101 0.663163i
\(357\) 6.61654 + 31.1284i 0.350185 + 1.64749i
\(358\) 46.9214 + 4.93163i 2.47987 + 0.260645i
\(359\) 30.9392 + 10.0528i 1.63291 + 0.530564i 0.974938 0.222479i \(-0.0714148\pi\)
0.657971 + 0.753043i \(0.271415\pi\)
\(360\) 34.8281 38.6805i 1.83560 2.03864i
\(361\) 0.544382 + 5.17945i 0.0286517 + 0.272603i
\(362\) 9.52618 44.8172i 0.500685 2.35554i
\(363\) −27.1039 19.6922i −1.42259 1.03357i
\(364\) 31.7776 + 9.81540i 1.66560 + 0.514467i
\(365\) −15.9578 + 11.5940i −0.835270 + 0.606859i
\(366\) −46.8377 27.0418i −2.44825 1.41350i
\(367\) 4.70878 8.15584i 0.245796 0.425732i −0.716559 0.697527i \(-0.754284\pi\)
0.962355 + 0.271795i \(0.0876173\pi\)
\(368\) 2.75985 + 1.22876i 0.143867 + 0.0640537i
\(369\) −75.0161 24.3742i −3.90518 1.26887i
\(370\) −26.9777 24.2908i −1.40250 1.26282i
\(371\) −21.9050 + 12.6468i −1.13725 + 0.656592i
\(372\) −55.4019 33.2747i −2.87245 1.72521i
\(373\) 0.00767131 + 0.0132871i 0.000397206 + 0.000687980i 0.866224 0.499656i \(-0.166540\pi\)
−0.865827 + 0.500344i \(0.833207\pi\)
\(374\) 7.26140 + 1.54346i 0.375478 + 0.0798103i
\(375\) 29.3711 26.4459i 1.51672 1.36566i
\(376\) 13.6183 9.89425i 0.702309 0.510257i
\(377\) 4.26611 + 12.5064i 0.219716 + 0.644113i
\(378\) 90.1259 4.63558
\(379\) −28.9486 + 3.04262i −1.48699 + 0.156289i −0.812919 0.582376i \(-0.802123\pi\)
−0.674072 + 0.738665i \(0.735456\pi\)
\(380\) 29.8037 13.2695i 1.52890 0.680709i
\(381\) 2.63141 25.0362i 0.134811 1.28264i
\(382\) 13.5493 4.40244i 0.693244 0.225249i
\(383\) 0.974554 2.18888i 0.0497974 0.111847i −0.886933 0.461897i \(-0.847169\pi\)
0.936731 + 0.350050i \(0.113836\pi\)
\(384\) −49.5358 44.6022i −2.52786 2.27610i
\(385\) 3.77543 + 1.22671i 0.192414 + 0.0625191i
\(386\) 4.09964 39.0054i 0.208666 1.98532i
\(387\) 3.96765 + 4.40652i 0.201687 + 0.223996i
\(388\) −48.4305 + 43.6070i −2.45869 + 2.21381i
\(389\) 2.72992 + 1.98341i 0.138413 + 0.100563i 0.654837 0.755770i \(-0.272737\pi\)
−0.516424 + 0.856333i \(0.672737\pi\)
\(390\) −25.0047 + 44.8053i −1.26616 + 2.26881i
\(391\) −2.18521 6.72538i −0.110511 0.340117i
\(392\) 1.23928 0.130253i 0.0625930 0.00657879i
\(393\) −18.0276 3.83187i −0.909370 0.193292i
\(394\) −1.47112 + 13.9968i −0.0741141 + 0.705149i
\(395\) 0.490597 0.675249i 0.0246846 0.0339754i
\(396\) 9.09542 20.4286i 0.457062 1.02658i
\(397\) −10.3631 + 5.98317i −0.520112 + 0.300287i −0.736980 0.675914i \(-0.763749\pi\)
0.216869 + 0.976201i \(0.430416\pi\)
\(398\) 40.2993i 2.02002i
\(399\) 37.6936 + 16.7823i 1.88704 + 0.840165i
\(400\) 1.68837 + 1.87513i 0.0844186 + 0.0937563i
\(401\) −0.594502 + 2.79691i −0.0296880 + 0.139671i −0.990495 0.137546i \(-0.956079\pi\)
0.960807 + 0.277217i \(0.0894120\pi\)
\(402\) 86.1427 4.29641
\(403\) 19.0756 + 6.25478i 0.950222 + 0.311573i
\(404\) −63.5292 −3.16070
\(405\) −9.79272 + 46.0711i −0.486604 + 2.28929i
\(406\) −14.9454 16.5986i −0.741728 0.823772i
\(407\) −6.27298 2.79291i −0.310940 0.138439i
\(408\) 45.7821i 2.26655i
\(409\) −25.4035 + 14.6667i −1.25612 + 0.725223i −0.972319 0.233659i \(-0.924930\pi\)
−0.283804 + 0.958882i \(0.591597\pi\)
\(410\) −18.6095 + 41.7976i −0.919058 + 2.06424i
\(411\) 37.6588 51.8329i 1.85757 2.55673i
\(412\) −1.62236 + 15.4357i −0.0799280 + 0.760464i
\(413\) −14.6136 3.10622i −0.719089 0.152847i
\(414\) −33.0420 + 3.47286i −1.62393 + 0.170682i
\(415\) 4.54844 + 13.9987i 0.223274 + 0.687167i
\(416\) 11.3359 + 6.32627i 0.555788 + 0.310171i
\(417\) −12.8236 9.31686i −0.627972 0.456249i
\(418\) 7.15278 6.44039i 0.349854 0.315010i
\(419\) −18.5037 20.5504i −0.903964 1.00395i −0.999963 0.00857260i \(-0.997271\pi\)
0.0959990 0.995381i \(-0.469395\pi\)
\(420\) 5.81237 55.3010i 0.283615 2.69841i
\(421\) 5.92538 + 1.92527i 0.288785 + 0.0938320i 0.449827 0.893116i \(-0.351486\pi\)
−0.161042 + 0.986948i \(0.551486\pi\)
\(422\) 48.4921 + 43.6625i 2.36056 + 2.12546i
\(423\) −13.9231 + 31.2718i −0.676964 + 1.52049i
\(424\) 34.6069 11.2445i 1.68066 0.546079i
\(425\) 0.617373 5.87391i 0.0299470 0.284926i
\(426\) 13.5720 6.04262i 0.657563 0.292766i
\(427\) −18.1065 + 1.90307i −0.876237 + 0.0920962i
\(428\) 30.2670 1.46301
\(429\) −1.87929 + 9.52182i −0.0907329 + 0.459718i
\(430\) 2.78262 2.02169i 0.134190 0.0974946i
\(431\) −16.7057 + 15.0419i −0.804686 + 0.724543i −0.964922 0.262536i \(-0.915441\pi\)
0.160236 + 0.987079i \(0.448774\pi\)
\(432\) −23.4508 4.98463i −1.12828 0.239823i
\(433\) −18.1167 31.3790i −0.870631 1.50798i −0.861345 0.508020i \(-0.830377\pi\)
−0.00928598 0.999957i \(-0.502956\pi\)
\(434\) −33.8027 + 2.96373i −1.62258 + 0.142264i
\(435\) 19.1327 11.0463i 0.917342 0.529627i
\(436\) −45.3653 40.8471i −2.17260 1.95622i
\(437\) −8.71971 2.83321i −0.417120 0.135531i
\(438\) 74.4673 + 33.1550i 3.55818 + 1.58421i
\(439\) −8.20743 + 14.2157i −0.391719 + 0.678477i −0.992676 0.120804i \(-0.961453\pi\)
0.600957 + 0.799281i \(0.294786\pi\)
\(440\) −4.94578 2.85545i −0.235781 0.136128i
\(441\) −2.05008 + 1.48947i −0.0976227 + 0.0709270i
\(442\) 7.17561 + 31.4939i 0.341309 + 1.49801i
\(443\) −8.90339 6.46869i −0.423013 0.307337i 0.355836 0.934548i \(-0.384196\pi\)
−0.778849 + 0.627212i \(0.784196\pi\)
\(444\) −19.9978 + 94.0820i −0.949051 + 4.46494i
\(445\) −2.19812 20.9137i −0.104201 0.991404i
\(446\) 3.61809 4.01830i 0.171322 0.190272i
\(447\) −26.1087 8.48325i −1.23490 0.401244i
\(448\) −30.1473 3.16861i −1.42433 0.149703i
\(449\) −1.05905 4.98244i −0.0499797 0.235136i 0.946067 0.323972i \(-0.105019\pi\)
−0.996046 + 0.0888364i \(0.971685\pi\)
\(450\) −26.3913 8.57506i −1.24410 0.404232i
\(451\) −0.904625 + 8.60693i −0.0425971 + 0.405285i
\(452\) −28.5738 31.7345i −1.34400 1.49266i
\(453\) 0.848910 3.99381i 0.0398853 0.187646i
\(454\) 27.3570 19.8760i 1.28393 0.932827i
\(455\) 2.05571 + 17.1500i 0.0963731 + 0.804004i
\(456\) −48.0219 34.8900i −2.24883 1.63387i
\(457\) −2.02648 4.55155i −0.0947947 0.212912i 0.859924 0.510422i \(-0.170511\pi\)
−0.954719 + 0.297509i \(0.903844\pi\)
\(458\) 0.254767 + 2.42394i 0.0119045 + 0.113263i
\(459\) 28.0595 + 48.6004i 1.30970 + 2.26847i
\(460\) 12.3560i 0.576101i
\(461\) −9.62836 + 21.6256i −0.448437 + 1.00721i 0.537981 + 0.842957i \(0.319187\pi\)
−0.986419 + 0.164250i \(0.947480\pi\)
\(462\) −3.41082 16.0467i −0.158686 0.746558i
\(463\) −18.0035 + 5.84970i −0.836694 + 0.271858i −0.695863 0.718175i \(-0.744978\pi\)
−0.140832 + 0.990034i \(0.544978\pi\)
\(464\) 2.97078 + 5.14554i 0.137915 + 0.238876i
\(465\) 4.08409 33.3138i 0.189395 1.54489i
\(466\) 12.4080 + 7.16377i 0.574790 + 0.331855i
\(467\) 5.85733 + 18.0270i 0.271045 + 0.834190i 0.990239 + 0.139381i \(0.0445112\pi\)
−0.719194 + 0.694809i \(0.755489\pi\)
\(468\) 97.2891 1.41833i 4.49719 0.0655625i
\(469\) 23.4602 17.0449i 1.08329 0.787058i
\(470\) 17.1959 + 9.92808i 0.793190 + 0.457948i
\(471\) 8.33708 14.4403i 0.384153 0.665372i
\(472\) 19.6348 + 8.74200i 0.903767 + 0.402383i
\(473\) 0.382408 0.526340i 0.0175832 0.0242011i
\(474\) −3.43036 0.360546i −0.157562 0.0165604i
\(475\) −5.69078 5.12400i −0.261111 0.235105i
\(476\) −20.5754 28.3197i −0.943074 1.29803i
\(477\) −49.5137 + 54.9905i −2.26708 + 2.51784i
\(478\) −8.51149 9.45296i −0.389306 0.432368i
\(479\) −8.27384 18.5834i −0.378042 0.849095i −0.997924 0.0644007i \(-0.979486\pi\)
0.619882 0.784695i \(-0.287180\pi\)
\(480\) 6.70694 20.6418i 0.306128 0.942167i
\(481\) −0.435525 29.8744i −0.0198582 1.36215i
\(482\) 1.84228 + 1.33849i 0.0839134 + 0.0609667i
\(483\) −11.6131 + 10.4565i −0.528415 + 0.475787i
\(484\) 36.0460 + 7.66182i 1.63846 + 0.348265i
\(485\) −30.9192 13.7661i −1.40397 0.625088i
\(486\) 85.5107 27.7841i 3.87885 1.26031i
\(487\) 15.4660 + 1.62555i 0.700833 + 0.0736605i 0.448242 0.893912i \(-0.352050\pi\)
0.252592 + 0.967573i \(0.418717\pi\)
\(488\) 26.0483 + 2.73779i 1.17915 + 0.123934i
\(489\) 36.0212 + 49.5789i 1.62893 + 2.24204i
\(490\) 0.734946 + 1.27296i 0.0332015 + 0.0575067i
\(491\) −20.6435 + 35.7556i −0.931629 + 1.61363i −0.151092 + 0.988520i \(0.548279\pi\)
−0.780537 + 0.625109i \(0.785054\pi\)
\(492\) 120.561 12.6715i 5.43531 0.571274i
\(493\) 4.29773 13.2270i 0.193560 0.595716i
\(494\) 38.5031 + 16.4744i 1.73234 + 0.741220i
\(495\) 11.6135 0.521987
\(496\) 8.95941 + 1.09838i 0.402289 + 0.0493185i
\(497\) 2.50057 4.33111i 0.112166 0.194277i
\(498\) 40.7015 45.2036i 1.82388 2.02562i
\(499\) 34.4567 + 11.1957i 1.54250 + 0.501187i 0.952064 0.305900i \(-0.0989574\pi\)
0.590432 + 0.807087i \(0.298957\pi\)
\(500\) −17.6823 + 39.7151i −0.790777 + 1.77611i
\(501\) 2.87308 1.65877i 0.128360 0.0741085i
\(502\) 29.7765i 1.32899i
\(503\) 28.7337 + 12.7931i 1.28117 + 0.570414i 0.930571 0.366111i \(-0.119311\pi\)
0.350600 + 0.936525i \(0.385978\pi\)
\(504\) −66.1492 + 29.4515i −2.94652 + 1.31188i
\(505\) −13.4196 30.1409i −0.597165 1.34125i
\(506\) 1.12647 + 3.46693i 0.0500779 + 0.154124i
\(507\) −41.0335 + 9.98047i −1.82236 + 0.443248i
\(508\) 8.55687 + 26.3353i 0.379650 + 1.16844i
\(509\) 13.1398 11.8311i 0.582411 0.524405i −0.324413 0.945916i \(-0.605167\pi\)
0.906823 + 0.421511i \(0.138500\pi\)
\(510\) 49.3353 21.9655i 2.18460 0.972648i
\(511\) 26.8408 5.70520i 1.18737 0.252383i
\(512\) 17.0039 + 5.52491i 0.751475 + 0.244169i
\(513\) 72.3618 + 7.60553i 3.19485 + 0.335792i
\(514\) 0.965448 + 4.54207i 0.0425841 + 0.200342i
\(515\) −7.66606 + 2.49085i −0.337807 + 0.109760i
\(516\) −8.32525 3.70664i −0.366499 0.163176i
\(517\) 3.67378 + 0.780885i 0.161572 + 0.0343433i
\(518\) 20.5409 + 46.1357i 0.902517 + 2.02709i
\(519\) 23.5898 + 17.1390i 1.03548 + 0.752318i
\(520\) 2.23689 24.7479i 0.0980943 1.08527i
\(521\) 13.7945 0.604347 0.302174 0.953253i \(-0.402288\pi\)
0.302174 + 0.953253i \(0.402288\pi\)
\(522\) −56.5886 32.6715i −2.47682 1.42999i
\(523\) −3.54183 33.6983i −0.154874 1.47352i −0.745461 0.666549i \(-0.767771\pi\)
0.590587 0.806974i \(-0.298896\pi\)
\(524\) 19.8296 4.21492i 0.866262 0.184130i
\(525\) −12.4132 + 4.03329i −0.541757 + 0.176027i
\(526\) −35.7835 + 20.6596i −1.56023 + 0.900801i
\(527\) −12.1222 17.3054i −0.528052 0.753836i
\(528\) 4.36400i 0.189919i
\(529\) −13.0665 + 14.5118i −0.568109 + 0.630948i
\(530\) 28.7209 + 31.8978i 1.24756 + 1.38555i
\(531\) −43.4680 + 4.56867i −1.88635 + 0.198263i
\(532\) −45.3854 −1.96771
\(533\) −35.6396 + 12.1572i −1.54372 + 0.526586i
\(534\) −70.3062 + 51.0805i −3.04245 + 2.21047i
\(535\) 6.39347 + 14.3600i 0.276414 + 0.620835i
\(536\) −38.1109 + 16.9681i −1.64614 + 0.732908i
\(537\) 43.4402 48.2452i 1.87458 2.08193i
\(538\) 15.1853 + 20.9007i 0.654683 + 0.901094i
\(539\) 0.206620 + 0.186041i 0.00889974 + 0.00801336i
\(540\) −20.3871 95.9137i −0.877320 4.12747i
\(541\) −19.3781 + 26.6717i −0.833131 + 1.14671i 0.154202 + 0.988039i \(0.450719\pi\)
−0.987332 + 0.158667i \(0.949281\pi\)
\(542\) −27.3068 + 5.80423i −1.17293 + 0.249313i
\(543\) −42.1867 46.8530i −1.81040 2.01066i
\(544\) −5.55734 12.4820i −0.238269 0.535160i
\(545\) 9.79683 30.1515i 0.419650 1.29155i
\(546\) 57.1305 42.7939i 2.44496 1.83141i
\(547\) −25.5363 + 18.5532i −1.09186 + 0.793279i −0.979712 0.200413i \(-0.935772\pi\)
−0.112144 + 0.993692i \(0.535772\pi\)
\(548\) −14.6523 + 68.9334i −0.625913 + 2.94469i
\(549\) −48.6579 + 21.6639i −2.07667 + 0.924592i
\(550\) −0.318255 + 3.02800i −0.0135704 + 0.129114i
\(551\) −10.5989 14.5881i −0.451528 0.621475i
\(552\) 19.4693 11.2406i 0.828667 0.478431i
\(553\) −1.00557 + 0.580567i −0.0427612 + 0.0246882i
\(554\) −0.413385 0.568976i −0.0175631 0.0241735i
\(555\) −48.8607 + 10.3857i −2.07402 + 0.440847i
\(556\) 17.0543 + 3.62500i 0.723263 + 0.153734i
\(557\) 15.2580 + 8.80920i 0.646502 + 0.373258i 0.787115 0.616807i \(-0.211574\pi\)
−0.140613 + 0.990065i \(0.544907\pi\)
\(558\) −91.3710 + 38.8049i −3.86804 + 1.64274i
\(559\) 2.77723 + 0.548132i 0.117464 + 0.0231835i
\(560\) 2.39999 + 7.38642i 0.101418 + 0.312133i
\(561\) 7.59125 6.83520i 0.320503 0.288582i
\(562\) −1.04295 9.92299i −0.0439941 0.418576i
\(563\) −3.27484 5.67220i −0.138018 0.239055i 0.788728 0.614742i \(-0.210740\pi\)
−0.926746 + 0.375688i \(0.877407\pi\)
\(564\) 52.6098i 2.21527i
\(565\) 9.02037 20.2601i 0.379490 0.852348i
\(566\) 40.8362 + 4.29206i 1.71647 + 0.180409i
\(567\) 38.5140 53.0100i 1.61744 2.22621i
\(568\) −4.81419 + 5.34670i −0.201999 + 0.224343i
\(569\) −1.31380 12.5000i −0.0550773 0.524026i −0.986925 0.161177i \(-0.948471\pi\)
0.931848 0.362848i \(-0.118196\pi\)
\(570\) 14.5577 68.4884i 0.609754 2.86866i
\(571\) −6.43256 + 19.7974i −0.269194 + 0.828494i 0.721503 + 0.692411i \(0.243451\pi\)
−0.990697 + 0.136083i \(0.956549\pi\)
\(572\) −2.37159 10.4089i −0.0991610 0.435220i
\(573\) 6.05785 18.6441i 0.253070 0.778870i
\(574\) 47.3011 42.5901i 1.97431 1.77768i
\(575\) 2.64951 1.17964i 0.110492 0.0491943i
\(576\) −86.7442 + 18.4381i −3.61434 + 0.768252i
\(577\) 20.1904 6.56026i 0.840537 0.273107i 0.143060 0.989714i \(-0.454306\pi\)
0.697477 + 0.716607i \(0.254306\pi\)
\(578\) −2.49574 + 5.60553i −0.103809 + 0.233159i
\(579\) −40.1059 36.1116i −1.66675 1.50075i
\(580\) −14.2837 + 19.6599i −0.593100 + 0.816332i
\(581\) 2.14038 20.3643i 0.0887979 0.844855i
\(582\) 14.6202 + 139.102i 0.606026 + 5.76596i
\(583\) 7.03122 + 4.05948i 0.291204 + 0.168126i
\(584\) −39.4762 −1.63354
\(585\) 21.2238 + 45.8584i 0.877496 + 1.89601i
\(586\) 7.79835 24.0009i 0.322147 0.991466i
\(587\) 0.701106 3.29844i 0.0289377 0.136141i −0.961307 0.275478i \(-0.911164\pi\)
0.990245 + 0.139337i \(0.0444971\pi\)
\(588\) 1.94727 3.37278i 0.0803042 0.139091i
\(589\) −27.3902 0.472969i −1.12859 0.0194884i
\(590\) 25.3529i 1.04376i
\(591\) 14.3917 + 12.9584i 0.591996 + 0.533036i
\(592\) −2.79312 13.1406i −0.114797 0.540075i
\(593\) 7.42752 + 10.2231i 0.305012 + 0.419813i 0.933817 0.357750i \(-0.116456\pi\)
−0.628806 + 0.777562i \(0.716456\pi\)
\(594\) −14.4646 25.0535i −0.593491 1.02796i
\(595\) 9.08978 15.7440i 0.372645 0.645440i
\(596\) 30.0312 3.15640i 1.23012 0.129291i
\(597\) −44.8621 32.5942i −1.83608 1.33399i
\(598\) −11.6313 + 10.7840i −0.475639 + 0.440990i
\(599\) −13.8023 42.4791i −0.563947 1.73565i −0.671061 0.741402i \(-0.734161\pi\)
0.107114 0.994247i \(-0.465839\pi\)
\(600\) 18.6739 1.96271i 0.762360 0.0801273i
\(601\) −16.2225 3.44819i −0.661728 0.140655i −0.135208 0.990817i \(-0.543170\pi\)
−0.526520 + 0.850163i \(0.676504\pi\)
\(602\) −4.68033 + 0.994835i −0.190756 + 0.0405464i
\(603\) 49.8649 68.6332i 2.03066 2.79496i
\(604\) 0.933770 + 4.39304i 0.0379946 + 0.178750i
\(605\) 3.97910 + 18.7202i 0.161774 + 0.761085i
\(606\) −80.1429 + 110.307i −3.25558 + 4.48093i
\(607\) −12.3170 + 2.61805i −0.499930 + 0.106263i −0.450973 0.892537i \(-0.648923\pi\)
−0.0489571 + 0.998801i \(0.515590\pi\)
\(608\) −17.3278 3.68314i −0.702735 0.149371i
\(609\) −30.5658 + 3.21259i −1.23859 + 0.130181i
\(610\) 9.54726 + 29.3834i 0.386557 + 1.18970i
\(611\) 3.63038 + 15.9338i 0.146869 + 0.644613i
\(612\) −82.8495 60.1937i −3.34899 2.43319i
\(613\) 43.3884 4.56031i 1.75244 0.184189i 0.826776 0.562532i \(-0.190173\pi\)
0.925666 + 0.378343i \(0.123506\pi\)
\(614\) −6.75225 + 11.6952i −0.272499 + 0.471982i
\(615\) 31.4786 + 54.5226i 1.26934 + 2.19856i
\(616\) 4.66981 + 6.42744i 0.188152 + 0.258969i
\(617\) 1.29683 + 6.10110i 0.0522083 + 0.245621i 0.996511 0.0834560i \(-0.0265958\pi\)
−0.944303 + 0.329077i \(0.893262\pi\)
\(618\) 24.7548 + 22.2893i 0.995784 + 0.896608i
\(619\) 13.7544i 0.552837i 0.961037 + 0.276419i \(0.0891476\pi\)
−0.961037 + 0.276419i \(0.910852\pi\)
\(620\) 10.8005 + 35.3031i 0.433757 + 1.41781i
\(621\) −13.7785 + 23.8651i −0.552913 + 0.957673i
\(622\) −6.11299 + 28.7594i −0.245109 + 1.15315i
\(623\) −9.04013 + 27.8227i −0.362185 + 1.11469i
\(624\) −17.2322 + 7.97526i −0.689841 + 0.319266i
\(625\) −14.7957 −0.591827
\(626\) 48.7071 + 28.1211i 1.94673 + 1.12394i
\(627\) −1.38440 13.1716i −0.0552874 0.526025i
\(628\) −1.91715 + 18.2405i −0.0765028 + 0.727875i
\(629\) −18.4836 + 25.4404i −0.736987 + 1.01438i
\(630\) −63.4745 57.1527i −2.52888 2.27702i
\(631\) 1.40460 3.15478i 0.0559162 0.125590i −0.883427 0.468570i \(-0.844770\pi\)
0.939343 + 0.342980i \(0.111436\pi\)
\(632\) 1.58867 0.516189i 0.0631937 0.0205329i
\(633\) 87.8266 18.6681i 3.49080 0.741991i
\(634\) −6.53376 + 2.90902i −0.259489 + 0.115532i
\(635\) −10.6871 + 9.62269i −0.424104 + 0.381865i
\(636\) 35.1432 108.160i 1.39352 4.28881i
\(637\) −0.357025 + 1.15588i −0.0141458 + 0.0457975i
\(638\) −2.21548 + 6.81853i −0.0877115 + 0.269948i
\(639\) 3.04193 14.3112i 0.120337 0.566141i
\(640\) 3.98026 + 37.8696i 0.157334 + 1.49693i
\(641\) −0.573556 + 0.636999i −0.0226541 + 0.0251599i −0.754365 0.656455i \(-0.772055\pi\)
0.731711 + 0.681615i \(0.238722\pi\)
\(642\) 38.1823 52.5534i 1.50693 2.07412i
\(643\) −2.11118 0.221894i −0.0832569 0.00875065i 0.0628084 0.998026i \(-0.479994\pi\)
−0.146065 + 0.989275i \(0.546661\pi\)
\(644\) 6.99144 15.7030i 0.275501 0.618786i
\(645\) 4.73282i 0.186355i
\(646\) −22.0391 38.1729i −0.867117 1.50189i
\(647\) −3.41229 32.4658i −0.134151 1.27636i −0.829834 0.558011i \(-0.811565\pi\)
0.695683 0.718349i \(-0.255102\pi\)
\(648\) −70.0516 + 63.0747i −2.75189 + 2.47781i
\(649\) 1.48192 + 4.56087i 0.0581703 + 0.179030i
\(650\) −12.5383 + 4.27700i −0.491794 + 0.167758i
\(651\) −24.0405 + 40.0271i −0.942221 + 1.56878i
\(652\) −58.3779 33.7045i −2.28625 1.31997i
\(653\) −21.5297 4.57628i −0.842522 0.179084i −0.233619 0.972328i \(-0.575057\pi\)
−0.608903 + 0.793245i \(0.708390\pi\)
\(654\) −128.153 + 27.2397i −5.01116 + 1.06516i
\(655\) 6.18846 + 8.51768i 0.241803 + 0.332813i
\(656\) −14.6633 + 8.46586i −0.572506 + 0.330536i
\(657\) 69.5223 40.1387i 2.71232 1.56596i
\(658\) −16.2364 22.3475i −0.632961 0.871197i
\(659\) −0.895519 + 8.52029i −0.0348845 + 0.331903i 0.963136 + 0.269015i \(0.0866980\pi\)
−0.998021 + 0.0628888i \(0.979969\pi\)
\(660\) −16.3056 + 7.25973i −0.634695 + 0.282584i
\(661\) −3.69926 + 17.4037i −0.143885 + 0.676924i 0.845781 + 0.533530i \(0.179135\pi\)
−0.989666 + 0.143394i \(0.954199\pi\)
\(662\) 13.7904 10.0193i 0.535979 0.389412i
\(663\) 40.8634 + 17.4844i 1.58700 + 0.679036i
\(664\) −9.10296 + 28.0160i −0.353263 + 1.08723i
\(665\) −9.58699 21.5327i −0.371768 0.835004i
\(666\) 98.8598 + 109.795i 3.83074 + 4.25447i
\(667\) 6.68011 1.41990i 0.258655 0.0549788i
\(668\) −2.14493 + 2.95225i −0.0829899 + 0.114226i
\(669\) −1.54694 7.27776i −0.0598080 0.281374i
\(670\) −36.5699 32.9276i −1.41282 1.27211i
\(671\) 3.43501 + 4.72788i 0.132607 + 0.182518i
\(672\) −20.2036 + 22.4384i −0.779371 + 0.865579i
\(673\) 2.78480 1.23987i 0.107346 0.0477935i −0.352361 0.935864i \(-0.614621\pi\)
0.459707 + 0.888071i \(0.347954\pi\)
\(674\) −13.5699 30.4784i −0.522691 1.17398i
\(675\) −18.6205 + 13.5286i −0.716705 + 0.520717i
\(676\) 36.7679 28.3872i 1.41415 1.09182i
\(677\) 46.3249 1.78041 0.890206 0.455558i \(-0.150560\pi\)
0.890206 + 0.455558i \(0.150560\pi\)
\(678\) −91.1476 + 9.58000i −3.50050 + 0.367918i
\(679\) 31.5054 + 34.9903i 1.20907 + 1.34281i
\(680\) −17.5000 + 19.4357i −0.671095 + 0.745326i
\(681\) 46.5302i 1.78304i
\(682\) 6.24899 + 8.92094i 0.239286 + 0.341600i
\(683\) −15.1792 + 8.76374i −0.580818 + 0.335335i −0.761458 0.648214i \(-0.775516\pi\)
0.180641 + 0.983549i \(0.442183\pi\)
\(684\) −126.277 + 41.0299i −4.82832 + 1.56882i
\(685\) −35.8000 + 7.60953i −1.36785 + 0.290745i
\(686\) −4.67304 44.4611i −0.178418 1.69753i
\(687\) 2.90444 + 1.67688i 0.110811 + 0.0639770i
\(688\) 1.27285 0.0485268
\(689\) −3.18010 + 35.1831i −0.121152 + 1.34037i
\(690\) 21.4540 + 15.5872i 0.816739 + 0.593396i
\(691\) 5.36209 + 12.0434i 0.203983 + 0.458154i 0.986350 0.164664i \(-0.0526541\pi\)
−0.782366 + 0.622819i \(0.785987\pi\)
\(692\) −31.3725 6.66842i −1.19260 0.253495i
\(693\) −14.7594 6.57131i −0.560663 0.249623i
\(694\) −8.68125 + 2.82071i −0.329536 + 0.107073i
\(695\) 1.88261 + 8.85700i 0.0714116 + 0.335965i
\(696\) 43.9723 + 4.62168i 1.66677 + 0.175184i
\(697\) 37.6932 + 12.2473i 1.42773 + 0.463899i
\(698\) −40.6015 + 8.63012i −1.53679 + 0.326655i
\(699\) 18.0105 8.01879i 0.681220 0.303299i
\(700\) 10.6691 9.60653i 0.403255 0.363093i
\(701\) 3.11502 + 9.58705i 0.117653 + 0.362098i 0.992491 0.122317i \(-0.0390325\pi\)
−0.874838 + 0.484415i \(0.839033\pi\)
\(702\) 72.4950 102.902i 2.73615 3.88380i
\(703\) 12.5990 + 38.7756i 0.475179 + 1.46245i
\(704\) 3.95763 + 8.88899i 0.149159 + 0.335016i
\(705\) 24.9603 11.1130i 0.940060 0.418542i
\(706\) 6.94023 + 3.08999i 0.261199 + 0.116293i
\(707\) 45.8989i 1.72621i
\(708\) 58.1742 33.5869i 2.18632 1.26227i
\(709\) −3.93428 + 8.83654i −0.147755 + 0.331863i −0.972227 0.234039i \(-0.924805\pi\)
0.824472 + 0.565903i \(0.191472\pi\)
\(710\) −8.07142 2.62256i −0.302915 0.0984230i
\(711\) −2.27298 + 2.52440i −0.0852433 + 0.0946723i
\(712\) 21.0429 36.4474i 0.788617 1.36593i
\(713\) 4.38300 9.40397i 0.164145 0.352181i
\(714\) −75.1283 −2.81160
\(715\) 4.43748 3.32392i 0.165952 0.124307i
\(716\) −22.0669 + 67.9149i −0.824679 + 2.53810i
\(717\) −17.4074 + 1.82959i −0.650090 + 0.0683272i
\(718\) −38.3994 + 66.5096i −1.43305 + 2.48212i
\(719\) 18.9613 + 32.8419i 0.707137 + 1.22480i 0.965915 + 0.258860i \(0.0833470\pi\)
−0.258778 + 0.965937i \(0.583320\pi\)
\(720\) 13.3551 + 18.3818i 0.497716 + 0.685048i
\(721\) 11.1521 + 1.17213i 0.415326 + 0.0436525i
\(722\) −12.2274 1.28515i −0.455057 0.0478285i
\(723\) 2.98008 0.968287i 0.110830 0.0360110i
\(724\) 63.3538 + 28.2069i 2.35453 + 1.04830i
\(725\) 5.57938 + 1.18593i 0.207213 + 0.0440445i
\(726\) 58.7759 52.9221i 2.18138 1.96412i
\(727\) −22.7187 16.5061i −0.842589 0.612177i 0.0805038 0.996754i \(-0.474347\pi\)
−0.923093 + 0.384578i \(0.874347\pi\)
\(728\) −16.8461 + 30.1860i −0.624356 + 1.11877i
\(729\) 14.7015 45.2466i 0.544501 1.67580i
\(730\) −18.9400 42.5399i −0.701001 1.57447i
\(731\) −1.99362 2.21414i −0.0737367 0.0818929i
\(732\) 54.7745 60.8332i 2.02452 2.24846i
\(733\) −11.6779 16.0733i −0.431335 0.593681i 0.536924 0.843630i \(-0.319586\pi\)
−0.968259 + 0.249949i \(0.919586\pi\)
\(734\) 16.5220 + 14.8765i 0.609838 + 0.549101i
\(735\) 2.01152 + 0.211419i 0.0741960 + 0.00779832i
\(736\) 3.94362 5.42792i 0.145364 0.200076i
\(737\) −8.50340 3.78596i −0.313227 0.139458i
\(738\) 93.1042 161.261i 3.42721 5.93611i
\(739\) −14.9324 8.62120i −0.549295 0.317136i 0.199542 0.979889i \(-0.436054\pi\)
−0.748838 + 0.662753i \(0.769388\pi\)
\(740\) 44.4520 32.2963i 1.63409 1.18723i
\(741\) 49.4812 29.5380i 1.81774 1.08510i
\(742\) −18.4521 56.7897i −0.677398 2.08482i
\(743\) 1.92032 + 1.10870i 0.0704498 + 0.0406742i 0.534811 0.844972i \(-0.320383\pi\)
−0.464361 + 0.885646i \(0.653716\pi\)
\(744\) 45.8015 49.1345i 1.67916 1.80136i
\(745\) 7.84117 + 13.5813i 0.287278 + 0.497581i
\(746\) −0.0344475 + 0.0111927i −0.00126121 + 0.000409792i
\(747\) −12.4548 58.5953i −0.455697 2.14389i
\(748\) −4.57016 + 10.2648i −0.167102 + 0.375316i
\(749\) 21.8675i 0.799021i
\(750\) 46.6518 + 80.8033i 1.70348 + 2.95052i
\(751\) 0.155757 + 1.48193i 0.00568367 + 0.0540765i 0.996996 0.0774516i \(-0.0246783\pi\)
−0.991312 + 0.131528i \(0.958012\pi\)
\(752\) 2.98874 + 6.71283i 0.108988 + 0.244792i
\(753\) −33.1479 24.0833i −1.20798 0.877645i
\(754\) −30.9733 + 3.71266i −1.12798 + 0.135207i
\(755\) −1.88700 + 1.37099i −0.0686749 + 0.0498953i