Properties

Label 300.2.n.a.11.8
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.8
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.25692 + 0.648193i) q^{2} +(1.55000 - 0.772971i) q^{3} +(1.15969 - 1.62945i) q^{4} +(0.411823 + 2.19782i) q^{5} +(-1.44720 + 1.97626i) q^{6} +3.34784i q^{7} +(-0.401439 + 2.79979i) q^{8} +(1.80503 - 2.39622i) q^{9} +O(q^{10})\) \(q+(-1.25692 + 0.648193i) q^{2} +(1.55000 - 0.772971i) q^{3} +(1.15969 - 1.62945i) q^{4} +(0.411823 + 2.19782i) q^{5} +(-1.44720 + 1.97626i) q^{6} +3.34784i q^{7} +(-0.401439 + 2.79979i) q^{8} +(1.80503 - 2.39622i) q^{9} +(-1.94224 - 2.49554i) q^{10} +(-5.09925 + 3.70482i) q^{11} +(0.538008 - 3.42207i) q^{12} +(1.13075 + 0.821541i) q^{13} +(-2.17004 - 4.20796i) q^{14} +(2.33718 + 3.08830i) q^{15} +(-1.31023 - 3.77932i) q^{16} +(3.45194 - 1.12160i) q^{17} +(-0.715566 + 4.18186i) q^{18} +(-1.47558 + 0.479446i) q^{19} +(4.05883 + 1.87775i) q^{20} +(2.58778 + 5.18916i) q^{21} +(4.00791 - 7.96196i) q^{22} +(5.31849 - 3.86411i) q^{23} +(1.54193 + 4.65000i) q^{24} +(-4.66080 + 1.81022i) q^{25} +(-1.95378 - 0.299664i) q^{26} +(0.945599 - 5.10939i) q^{27} +(5.45514 + 3.88246i) q^{28} +(2.46654 + 0.801428i) q^{29} +(-4.93946 - 2.36680i) q^{30} +(3.51579 - 1.14235i) q^{31} +(4.09659 + 3.90102i) q^{32} +(-5.04014 + 9.68407i) q^{33} +(-3.61180 + 3.64729i) q^{34} +(-7.35793 + 1.37871i) q^{35} +(-1.81124 - 5.72009i) q^{36} +(-4.63882 - 3.37030i) q^{37} +(1.54392 - 1.55909i) q^{38} +(2.38770 + 0.399352i) q^{39} +(-6.31876 + 0.270729i) q^{40} +(-0.595517 + 0.819659i) q^{41} +(-6.61621 - 4.84498i) q^{42} +2.65658i q^{43} +(0.123274 + 12.6054i) q^{44} +(6.00980 + 2.98031i) q^{45} +(-4.18022 + 8.30428i) q^{46} +(1.36431 - 4.19891i) q^{47} +(-4.95217 - 4.84520i) q^{48} -4.20800 q^{49} +(4.68488 - 5.29640i) q^{50} +(4.48356 - 4.40675i) q^{51} +(2.64999 - 0.889776i) q^{52} +(8.76207 + 2.84697i) q^{53} +(2.12333 + 7.03502i) q^{54} +(-10.2425 - 9.68149i) q^{55} +(-9.37325 - 1.34395i) q^{56} +(-1.91656 + 1.88373i) q^{57} +(-3.61972 + 0.591465i) q^{58} +(-5.57763 - 4.05239i) q^{59} +(7.74264 - 0.226842i) q^{60} +(1.88476 - 1.36935i) q^{61} +(-3.67860 + 3.71475i) q^{62} +(8.02214 + 6.04295i) q^{63} +(-7.67769 - 2.24789i) q^{64} +(-1.33993 + 2.82352i) q^{65} +(0.0579075 - 15.4391i) q^{66} +(11.2107 - 3.64258i) q^{67} +(2.17559 - 6.92549i) q^{68} +(5.25684 - 10.1004i) q^{69} +(8.35465 - 6.50229i) q^{70} +(1.51056 - 4.64904i) q^{71} +(5.98431 + 6.01565i) q^{72} +(6.90929 - 5.01989i) q^{73} +(8.01523 + 1.22934i) q^{74} +(-5.82502 + 6.40852i) q^{75} +(-0.929987 + 2.96040i) q^{76} +(-12.4031 - 17.0714i) q^{77} +(-3.26001 + 1.04574i) q^{78} +(-11.2954 - 3.67009i) q^{79} +(7.76668 - 4.43606i) q^{80} +(-2.48373 - 8.65050i) q^{81} +(0.217220 - 1.41626i) q^{82} +(-1.69102 - 5.20442i) q^{83} +(11.4565 + 1.80116i) q^{84} +(3.88667 + 7.12484i) q^{85} +(-1.72197 - 3.33910i) q^{86} +(4.44263 - 0.664348i) q^{87} +(-8.32570 - 15.7641i) q^{88} +(-5.68017 - 7.81809i) q^{89} +(-9.48565 + 0.149502i) q^{90} +(-2.75038 + 3.78558i) q^{91} +(-0.128574 - 13.1474i) q^{92} +(4.56649 - 4.48826i) q^{93} +(1.00688 + 6.16203i) q^{94} +(-1.66141 - 3.04562i) q^{95} +(9.36511 + 2.88006i) q^{96} +(-2.29478 + 7.06261i) q^{97} +(5.28911 - 2.72760i) q^{98} +(-0.326741 + 18.9062i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25692 + 0.648193i −0.888776 + 0.458342i
\(3\) 1.55000 0.772971i 0.894896 0.446275i
\(4\) 1.15969 1.62945i 0.579846 0.814726i
\(5\) 0.411823 + 2.19782i 0.184173 + 0.982894i
\(6\) −1.44720 + 1.97626i −0.590815 + 0.806807i
\(7\) 3.34784i 1.26536i 0.774412 + 0.632681i \(0.218046\pi\)
−0.774412 + 0.632681i \(0.781954\pi\)
\(8\) −0.401439 + 2.79979i −0.141930 + 0.989877i
\(9\) 1.80503 2.39622i 0.601677 0.798740i
\(10\) −1.94224 2.49554i −0.614190 0.789159i
\(11\) −5.09925 + 3.70482i −1.53748 + 1.11705i −0.585592 + 0.810606i \(0.699138\pi\)
−0.951890 + 0.306440i \(0.900862\pi\)
\(12\) 0.538008 3.42207i 0.155310 0.987866i
\(13\) 1.13075 + 0.821541i 0.313615 + 0.227854i 0.733446 0.679748i \(-0.237911\pi\)
−0.419831 + 0.907602i \(0.637911\pi\)
\(14\) −2.17004 4.20796i −0.579968 1.12462i
\(15\) 2.33718 + 3.08830i 0.603457 + 0.797396i
\(16\) −1.31023 3.77932i −0.327558 0.944831i
\(17\) 3.45194 1.12160i 0.837219 0.272029i 0.141136 0.989990i \(-0.454924\pi\)
0.696083 + 0.717961i \(0.254924\pi\)
\(18\) −0.715566 + 4.18186i −0.168661 + 0.985674i
\(19\) −1.47558 + 0.479446i −0.338522 + 0.109993i −0.473345 0.880877i \(-0.656954\pi\)
0.134823 + 0.990870i \(0.456954\pi\)
\(20\) 4.05883 + 1.87775i 0.907581 + 0.419877i
\(21\) 2.58778 + 5.18916i 0.564700 + 1.13237i
\(22\) 4.00791 7.96196i 0.854488 1.69750i
\(23\) 5.31849 3.86411i 1.10898 0.805722i 0.126479 0.991969i \(-0.459632\pi\)
0.982503 + 0.186247i \(0.0596325\pi\)
\(24\) 1.54193 + 4.65000i 0.314745 + 0.949176i
\(25\) −4.66080 + 1.81022i −0.932161 + 0.362045i
\(26\) −1.95378 0.299664i −0.383168 0.0587689i
\(27\) 0.945599 5.10939i 0.181981 0.983302i
\(28\) 5.45514 + 3.88246i 1.03092 + 0.733715i
\(29\) 2.46654 + 0.801428i 0.458025 + 0.148821i 0.528937 0.848661i \(-0.322591\pi\)
−0.0709117 + 0.997483i \(0.522591\pi\)
\(30\) −4.93946 2.36680i −0.901817 0.432117i
\(31\) 3.51579 1.14235i 0.631455 0.205172i 0.0242355 0.999706i \(-0.492285\pi\)
0.607220 + 0.794534i \(0.292285\pi\)
\(32\) 4.09659 + 3.90102i 0.724181 + 0.689610i
\(33\) −5.04014 + 9.68407i −0.877376 + 1.68578i
\(34\) −3.61180 + 3.64729i −0.619418 + 0.625505i
\(35\) −7.35793 + 1.37871i −1.24372 + 0.233045i
\(36\) −1.81124 5.72009i −0.301874 0.953348i
\(37\) −4.63882 3.37030i −0.762618 0.554074i 0.137094 0.990558i \(-0.456224\pi\)
−0.899712 + 0.436484i \(0.856224\pi\)
\(38\) 1.54392 1.55909i 0.250456 0.252918i
\(39\) 2.38770 + 0.399352i 0.382338 + 0.0639475i
\(40\) −6.31876 + 0.270729i −0.999083 + 0.0428061i
\(41\) −0.595517 + 0.819659i −0.0930042 + 0.128009i −0.852983 0.521938i \(-0.825209\pi\)
0.759979 + 0.649948i \(0.225209\pi\)
\(42\) −6.61621 4.84498i −1.02090 0.747596i
\(43\) 2.65658i 0.405124i 0.979269 + 0.202562i \(0.0649268\pi\)
−0.979269 + 0.202562i \(0.935073\pi\)
\(44\) 0.123274 + 12.6054i 0.0185842 + 1.90034i
\(45\) 6.00980 + 2.98031i 0.895889 + 0.444279i
\(46\) −4.18022 + 8.30428i −0.616340 + 1.22440i
\(47\) 1.36431 4.19891i 0.199005 0.612475i −0.800901 0.598796i \(-0.795646\pi\)
0.999906 0.0136783i \(-0.00435408\pi\)
\(48\) −4.95217 4.84520i −0.714785 0.699345i
\(49\) −4.20800 −0.601143
\(50\) 4.68488 5.29640i 0.662542 0.749025i
\(51\) 4.48356 4.40675i 0.627824 0.617068i
\(52\) 2.64999 0.889776i 0.367487 0.123390i
\(53\) 8.76207 + 2.84697i 1.20356 + 0.391061i 0.841071 0.540925i \(-0.181926\pi\)
0.362493 + 0.931987i \(0.381926\pi\)
\(54\) 2.12333 + 7.03502i 0.288948 + 0.957345i
\(55\) −10.2425 9.68149i −1.38110 1.30545i
\(56\) −9.37325 1.34395i −1.25255 0.179593i
\(57\) −1.91656 + 1.88373i −0.253855 + 0.249506i
\(58\) −3.61972 + 0.591465i −0.475293 + 0.0776631i
\(59\) −5.57763 4.05239i −0.726146 0.527576i 0.162196 0.986759i \(-0.448142\pi\)
−0.888342 + 0.459183i \(0.848142\pi\)
\(60\) 7.74264 0.226842i 0.999571 0.0292852i
\(61\) 1.88476 1.36935i 0.241318 0.175328i −0.460552 0.887633i \(-0.652349\pi\)
0.701870 + 0.712305i \(0.252349\pi\)
\(62\) −3.67860 + 3.71475i −0.467183 + 0.471774i
\(63\) 8.02214 + 6.04295i 1.01070 + 0.761340i
\(64\) −7.67769 2.24789i −0.959712 0.280987i
\(65\) −1.33993 + 2.82352i −0.166197 + 0.350215i
\(66\) 0.0579075 15.4391i 0.00712792 1.90042i
\(67\) 11.2107 3.64258i 1.36961 0.445012i 0.470368 0.882470i \(-0.344121\pi\)
0.899239 + 0.437458i \(0.144121\pi\)
\(68\) 2.17559 6.92549i 0.263829 0.839839i
\(69\) 5.25684 10.1004i 0.632849 1.21595i
\(70\) 8.35465 6.50229i 0.998572 0.777173i
\(71\) 1.51056 4.64904i 0.179271 0.551739i −0.820532 0.571601i \(-0.806323\pi\)
0.999803 + 0.0198616i \(0.00632257\pi\)
\(72\) 5.98431 + 6.01565i 0.705258 + 0.708951i
\(73\) 6.90929 5.01989i 0.808671 0.587534i −0.104774 0.994496i \(-0.533412\pi\)
0.913445 + 0.406962i \(0.133412\pi\)
\(74\) 8.01523 + 1.22934i 0.931752 + 0.142908i
\(75\) −5.82502 + 6.40852i −0.672615 + 0.739992i
\(76\) −0.929987 + 2.96040i −0.106677 + 0.339582i
\(77\) −12.4031 17.0714i −1.41347 1.94547i
\(78\) −3.26001 + 1.04574i −0.369123 + 0.118407i
\(79\) −11.2954 3.67009i −1.27083 0.412917i −0.405487 0.914101i \(-0.632898\pi\)
−0.865341 + 0.501183i \(0.832898\pi\)
\(80\) 7.76668 4.43606i 0.868342 0.495967i
\(81\) −2.48373 8.65050i −0.275970 0.961166i
\(82\) 0.217220 1.41626i 0.0239879 0.156399i
\(83\) −1.69102 5.20442i −0.185613 0.571260i 0.814345 0.580381i \(-0.197096\pi\)
−0.999958 + 0.00912165i \(0.997096\pi\)
\(84\) 11.4565 + 1.80116i 1.25001 + 0.196523i
\(85\) 3.88667 + 7.12484i 0.421569 + 0.772797i
\(86\) −1.72197 3.33910i −0.185685 0.360065i
\(87\) 4.44263 0.664348i 0.476300 0.0712256i
\(88\) −8.32570 15.7641i −0.887523 1.68046i
\(89\) −5.68017 7.81809i −0.602097 0.828716i 0.393801 0.919196i \(-0.371160\pi\)
−0.995898 + 0.0904800i \(0.971160\pi\)
\(90\) −9.48565 + 0.149502i −0.999876 + 0.0157589i
\(91\) −2.75038 + 3.78558i −0.288319 + 0.396836i
\(92\) −0.128574 13.1474i −0.0134047 1.37071i
\(93\) 4.56649 4.48826i 0.473523 0.465410i
\(94\) 1.00688 + 6.16203i 0.103852 + 0.635565i
\(95\) −1.66141 3.04562i −0.170458 0.312474i
\(96\) 9.36511 + 2.88006i 0.955822 + 0.293945i
\(97\) −2.29478 + 7.06261i −0.233000 + 0.717100i 0.764381 + 0.644765i \(0.223045\pi\)
−0.997380 + 0.0723344i \(0.976955\pi\)
\(98\) 5.28911 2.72760i 0.534281 0.275529i
\(99\) −0.326741 + 18.9062i −0.0328387 + 1.90015i
\(100\) −2.45542 + 9.69386i −0.245542 + 0.969386i
\(101\) 8.98869i 0.894408i 0.894432 + 0.447204i \(0.147580\pi\)
−0.894432 + 0.447204i \(0.852420\pi\)
\(102\) −2.77905 + 8.44514i −0.275167 + 0.836193i
\(103\) 3.62270 + 1.17709i 0.356955 + 0.115982i 0.482004 0.876169i \(-0.339909\pi\)
−0.125049 + 0.992151i \(0.539909\pi\)
\(104\) −2.75407 + 2.83608i −0.270059 + 0.278101i
\(105\) −10.3391 + 7.82448i −1.00900 + 0.763591i
\(106\) −12.8586 + 2.10110i −1.24894 + 0.204077i
\(107\) −6.04919 −0.584797 −0.292398 0.956297i \(-0.594453\pi\)
−0.292398 + 0.956297i \(0.594453\pi\)
\(108\) −7.22890 7.46612i −0.695601 0.718428i
\(109\) −1.43450 1.04222i −0.137400 0.0998270i 0.516962 0.856008i \(-0.327063\pi\)
−0.654362 + 0.756181i \(0.727063\pi\)
\(110\) 19.1495 + 5.52973i 1.82583 + 0.527239i
\(111\) −9.79534 1.63831i −0.929733 0.155501i
\(112\) 12.6526 4.38644i 1.19555 0.414479i
\(113\) −12.0444 + 16.5777i −1.13304 + 1.55950i −0.350883 + 0.936419i \(0.614119\pi\)
−0.782159 + 0.623079i \(0.785881\pi\)
\(114\) 1.18795 3.61000i 0.111261 0.338107i
\(115\) 10.6829 + 10.0977i 0.996184 + 0.941619i
\(116\) 4.16632 3.08970i 0.386833 0.286872i
\(117\) 4.00964 1.22663i 0.370691 0.113402i
\(118\) 9.63736 + 1.47814i 0.887191 + 0.136074i
\(119\) 3.75495 + 11.5565i 0.344215 + 1.05939i
\(120\) −9.58484 + 5.30385i −0.874972 + 0.484173i
\(121\) 8.87746 27.3220i 0.807042 2.48382i
\(122\) −1.48138 + 2.94285i −0.134118 + 0.266433i
\(123\) −0.289482 + 1.73079i −0.0261017 + 0.156060i
\(124\) 2.21583 7.05359i 0.198987 0.633431i
\(125\) −5.89796 9.49811i −0.527530 0.849536i
\(126\) −14.0002 2.39560i −1.24724 0.213417i
\(127\) 8.50764 + 11.7098i 0.754931 + 1.03907i 0.997619 + 0.0689693i \(0.0219711\pi\)
−0.242687 + 0.970105i \(0.578029\pi\)
\(128\) 11.1073 2.15121i 0.981757 0.190142i
\(129\) 2.05346 + 4.11771i 0.180797 + 0.362544i
\(130\) −0.146007 4.41747i −0.0128056 0.387438i
\(131\) −2.68469 8.26263i −0.234563 0.721909i −0.997179 0.0750585i \(-0.976086\pi\)
0.762617 0.646851i \(-0.223914\pi\)
\(132\) 9.93472 + 19.4432i 0.864706 + 1.69231i
\(133\) −1.60511 4.94001i −0.139180 0.428353i
\(134\) −11.7299 + 11.8451i −1.01331 + 1.02326i
\(135\) 11.6189 0.0259081i 0.999998 0.00222982i
\(136\) 1.75452 + 10.1150i 0.150449 + 0.867353i
\(137\) −5.09574 + 7.01369i −0.435359 + 0.599220i −0.969173 0.246382i \(-0.920758\pi\)
0.533814 + 0.845602i \(0.320758\pi\)
\(138\) −0.0603972 + 16.1029i −0.00514135 + 1.37077i
\(139\) −2.41927 3.32984i −0.205200 0.282434i 0.693997 0.719978i \(-0.255848\pi\)
−0.899197 + 0.437545i \(0.855848\pi\)
\(140\) −6.28638 + 13.5883i −0.531296 + 1.14842i
\(141\) −1.13095 7.56291i −0.0952434 0.636912i
\(142\) 1.11482 + 6.82260i 0.0935534 + 0.572540i
\(143\) −8.80966 −0.736701
\(144\) −11.4211 3.68220i −0.951758 0.306850i
\(145\) −0.745614 + 5.75105i −0.0619199 + 0.477599i
\(146\) −5.43056 + 10.7882i −0.449436 + 0.892834i
\(147\) −6.52242 + 3.25266i −0.537960 + 0.268275i
\(148\) −10.8713 + 3.65023i −0.893619 + 0.300047i
\(149\) 1.23958i 0.101551i 0.998710 + 0.0507753i \(0.0161692\pi\)
−0.998710 + 0.0507753i \(0.983831\pi\)
\(150\) 3.16762 11.8307i 0.258635 0.965975i
\(151\) 12.5623i 1.02230i −0.859491 0.511151i \(-0.829219\pi\)
0.859491 0.511151i \(-0.170781\pi\)
\(152\) −0.749994 4.32380i −0.0608325 0.350706i
\(153\) 3.54326 10.2961i 0.286455 0.832394i
\(154\) 26.6553 + 13.4178i 2.14795 + 1.08124i
\(155\) 3.95856 + 7.25663i 0.317959 + 0.582866i
\(156\) 3.41972 3.42752i 0.273797 0.274421i
\(157\) −8.80894 −0.703030 −0.351515 0.936182i \(-0.614333\pi\)
−0.351515 + 0.936182i \(0.614333\pi\)
\(158\) 16.5763 2.70858i 1.31874 0.215483i
\(159\) 15.7819 2.36001i 1.25158 0.187161i
\(160\) −6.88667 + 10.6101i −0.544439 + 0.838800i
\(161\) 12.9364 + 17.8054i 1.01953 + 1.40326i
\(162\) 8.72904 + 9.26304i 0.685818 + 0.727773i
\(163\) −3.05216 + 4.20094i −0.239064 + 0.329043i −0.911644 0.410981i \(-0.865186\pi\)
0.672580 + 0.740024i \(0.265186\pi\)
\(164\) 0.644979 + 1.92092i 0.0503644 + 0.149999i
\(165\) −23.3595 7.08919i −1.81853 0.551893i
\(166\) 5.49894 + 5.44543i 0.426801 + 0.422647i
\(167\) −1.27458 3.92276i −0.0986300 0.303552i 0.889553 0.456833i \(-0.151016\pi\)
−0.988183 + 0.153281i \(0.951016\pi\)
\(168\) −15.5674 + 5.16212i −1.20105 + 0.398266i
\(169\) −3.41355 10.5058i −0.262580 0.808139i
\(170\) −9.50350 6.43603i −0.728885 0.493621i
\(171\) −1.51462 + 4.40124i −0.115826 + 0.336571i
\(172\) 4.32877 + 3.08081i 0.330065 + 0.234910i
\(173\) −3.74016 5.14789i −0.284359 0.391387i 0.642812 0.766024i \(-0.277767\pi\)
−0.927172 + 0.374637i \(0.877767\pi\)
\(174\) −5.15340 + 3.71471i −0.390678 + 0.281612i
\(175\) −6.06033 15.6036i −0.458118 1.17952i
\(176\) 20.6829 + 14.4176i 1.55903 + 1.08676i
\(177\) −11.7777 1.96987i −0.885269 0.148065i
\(178\) 12.2071 + 6.14486i 0.914964 + 0.460576i
\(179\) −0.377475 + 1.16175i −0.0282138 + 0.0868332i −0.964172 0.265278i \(-0.914536\pi\)
0.935958 + 0.352111i \(0.114536\pi\)
\(180\) 11.8258 6.33645i 0.881443 0.472291i
\(181\) 7.35700 + 22.6425i 0.546842 + 1.68301i 0.716570 + 0.697515i \(0.245711\pi\)
−0.169729 + 0.985491i \(0.554289\pi\)
\(182\) 1.00322 6.54095i 0.0743639 0.484847i
\(183\) 1.86291 3.57937i 0.137710 0.264595i
\(184\) 8.68366 + 16.4419i 0.640168 + 1.21211i
\(185\) 5.49694 11.5833i 0.404143 0.851618i
\(186\) −2.83046 + 8.60134i −0.207539 + 0.630681i
\(187\) −13.4470 + 18.5082i −0.983341 + 1.35345i
\(188\) −5.25975 7.09252i −0.383607 0.517275i
\(189\) 17.1054 + 3.16571i 1.24423 + 0.230271i
\(190\) 4.06241 + 2.75118i 0.294718 + 0.199591i
\(191\) 3.06169 + 2.22445i 0.221536 + 0.160955i 0.693018 0.720920i \(-0.256281\pi\)
−0.471482 + 0.881876i \(0.656281\pi\)
\(192\) −13.6380 + 2.45039i −0.984239 + 0.176842i
\(193\) 17.8773 1.28684 0.643419 0.765514i \(-0.277515\pi\)
0.643419 + 0.765514i \(0.277515\pi\)
\(194\) −1.69358 10.3646i −0.121592 0.744135i
\(195\) 0.105607 + 5.41220i 0.00756267 + 0.387575i
\(196\) −4.87998 + 6.85673i −0.348570 + 0.489767i
\(197\) −1.71113 0.555979i −0.121913 0.0396118i 0.247425 0.968907i \(-0.420416\pi\)
−0.369338 + 0.929295i \(0.620416\pi\)
\(198\) −11.8442 23.9754i −0.841731 1.70386i
\(199\) 5.18249i 0.367377i −0.982985 0.183688i \(-0.941196\pi\)
0.982985 0.183688i \(-0.0588037\pi\)
\(200\) −3.19722 13.7760i −0.226078 0.974109i
\(201\) 14.5611 14.3116i 1.02706 1.00946i
\(202\) −5.82641 11.2981i −0.409945 0.794929i
\(203\) −2.68305 + 8.25757i −0.188313 + 0.579568i
\(204\) −1.98103 12.4162i −0.138700 0.869309i
\(205\) −2.04671 0.971284i −0.142948 0.0678374i
\(206\) −5.31642 + 0.868706i −0.370412 + 0.0605256i
\(207\) 0.340789 19.7191i 0.0236865 1.37057i
\(208\) 1.62332 5.34990i 0.112557 0.370948i
\(209\) 5.74811 7.91159i 0.397605 0.547256i
\(210\) 7.92367 16.5365i 0.546785 1.14113i
\(211\) 10.4078 + 14.3251i 0.716502 + 0.986181i 0.999633 + 0.0270992i \(0.00862702\pi\)
−0.283131 + 0.959081i \(0.591373\pi\)
\(212\) 14.8003 10.9758i 1.01649 0.753819i
\(213\) −1.25219 8.37365i −0.0857987 0.573753i
\(214\) 7.60334 3.92104i 0.519754 0.268037i
\(215\) −5.83867 + 1.09404i −0.398194 + 0.0746128i
\(216\) 13.9256 + 4.69859i 0.947519 + 0.319699i
\(217\) 3.82440 + 11.7703i 0.259617 + 0.799020i
\(218\) 2.47861 + 0.380160i 0.167873 + 0.0257477i
\(219\) 6.82920 13.1215i 0.461475 0.886672i
\(220\) −27.6537 + 5.46214i −1.86441 + 0.368257i
\(221\) 4.82474 + 1.56765i 0.324547 + 0.105452i
\(222\) 13.3739 4.29005i 0.897597 0.287929i
\(223\) −8.43606 11.6112i −0.564920 0.777546i 0.427021 0.904242i \(-0.359563\pi\)
−0.991942 + 0.126696i \(0.959563\pi\)
\(224\) −13.0600 + 13.7147i −0.872607 + 0.916351i
\(225\) −4.07521 + 14.4358i −0.271680 + 0.962388i
\(226\) 4.39329 28.6439i 0.292237 1.90537i
\(227\) −16.6945 + 12.1293i −1.10806 + 0.805049i −0.982356 0.187019i \(-0.940117\pi\)
−0.125699 + 0.992068i \(0.540117\pi\)
\(228\) 0.846822 + 5.30749i 0.0560821 + 0.351497i
\(229\) −0.393608 + 1.21140i −0.0260103 + 0.0800516i −0.963219 0.268717i \(-0.913400\pi\)
0.937209 + 0.348769i \(0.113400\pi\)
\(230\) −19.9728 5.76747i −1.31697 0.380296i
\(231\) −32.4207 16.8736i −2.13312 1.11020i
\(232\) −3.23400 + 6.58408i −0.212322 + 0.432266i
\(233\) 14.6639 4.76458i 0.960661 0.312138i 0.213621 0.976917i \(-0.431474\pi\)
0.747040 + 0.664779i \(0.231474\pi\)
\(234\) −4.24470 + 4.14079i −0.277485 + 0.270692i
\(235\) 9.79030 + 1.26930i 0.638649 + 0.0827997i
\(236\) −13.0715 + 4.38897i −0.850882 + 0.285697i
\(237\) −20.3448 + 3.04234i −1.32153 + 0.197621i
\(238\) −12.2105 12.0917i −0.791491 0.783789i
\(239\) 3.26050 2.36889i 0.210904 0.153231i −0.477318 0.878730i \(-0.658391\pi\)
0.688223 + 0.725499i \(0.258391\pi\)
\(240\) 8.60945 12.8793i 0.555738 0.831358i
\(241\) −4.60913 3.34873i −0.296900 0.215711i 0.429355 0.903136i \(-0.358741\pi\)
−0.726255 + 0.687425i \(0.758741\pi\)
\(242\) 6.55169 + 40.0959i 0.421158 + 2.57746i
\(243\) −10.5364 11.4885i −0.675909 0.736985i
\(244\) −0.0455637 4.65915i −0.00291691 0.298271i
\(245\) −1.73295 9.24841i −0.110714 0.590860i
\(246\) −0.758033 2.36311i −0.0483304 0.150666i
\(247\) −2.06241 0.670117i −0.131228 0.0426385i
\(248\) 1.78697 + 10.3021i 0.113473 + 0.654183i
\(249\) −6.64396 6.75977i −0.421044 0.428383i
\(250\) 13.5699 + 8.11533i 0.858234 + 0.513259i
\(251\) 15.9479 1.00662 0.503311 0.864105i \(-0.332115\pi\)
0.503311 + 0.864105i \(0.332115\pi\)
\(252\) 19.1499 6.06375i 1.20633 0.381980i
\(253\) −12.8045 + 39.4081i −0.805010 + 2.47757i
\(254\) −18.2836 9.20364i −1.14722 0.577487i
\(255\) 11.5317 + 8.03925i 0.722140 + 0.503438i
\(256\) −12.5666 + 9.90357i −0.785412 + 0.618973i
\(257\) 23.3471i 1.45635i −0.685390 0.728176i \(-0.740368\pi\)
0.685390 0.728176i \(-0.259632\pi\)
\(258\) −5.25010 3.84459i −0.326857 0.239354i
\(259\) 11.2832 15.5300i 0.701105 0.964988i
\(260\) 3.04689 + 5.45776i 0.188960 + 0.338476i
\(261\) 6.37258 4.46377i 0.394453 0.276300i
\(262\) 8.73022 + 8.64526i 0.539355 + 0.534106i
\(263\) 19.0858 + 13.8667i 1.17688 + 0.855056i 0.991817 0.127670i \(-0.0407499\pi\)
0.185067 + 0.982726i \(0.440750\pi\)
\(264\) −25.0901 17.9989i −1.54419 1.10776i
\(265\) −2.64870 + 20.4299i −0.162708 + 1.25500i
\(266\) 5.21957 + 5.16878i 0.320032 + 0.316918i
\(267\) −14.8475 7.72746i −0.908649 0.472913i
\(268\) 7.06556 22.4916i 0.431598 1.37389i
\(269\) −12.0643 + 3.91992i −0.735573 + 0.239002i −0.652762 0.757563i \(-0.726390\pi\)
−0.0828109 + 0.996565i \(0.526390\pi\)
\(270\) −14.5873 + 7.56387i −0.887752 + 0.460322i
\(271\) 25.9384 + 8.42789i 1.57564 + 0.511958i 0.960930 0.276793i \(-0.0892715\pi\)
0.614714 + 0.788750i \(0.289272\pi\)
\(272\) −8.76175 11.5765i −0.531259 0.701926i
\(273\) −1.33697 + 7.99363i −0.0809168 + 0.483797i
\(274\) 1.85871 12.1187i 0.112289 0.732115i
\(275\) 17.0601 26.4982i 1.02876 1.59790i
\(276\) −10.3619 20.2791i −0.623710 1.22066i
\(277\) 24.5492 17.8360i 1.47502 1.07166i 0.495900 0.868380i \(-0.334838\pi\)
0.979120 0.203284i \(-0.0651616\pi\)
\(278\) 5.19921 + 2.61719i 0.311828 + 0.156968i
\(279\) 3.60879 10.4866i 0.216053 0.627815i
\(280\) −0.906357 21.1542i −0.0541652 1.26420i
\(281\) 0.511219 0.166105i 0.0304968 0.00990899i −0.293729 0.955889i \(-0.594896\pi\)
0.324226 + 0.945980i \(0.394896\pi\)
\(282\) 6.32374 + 8.77289i 0.376573 + 0.522418i
\(283\) −20.1010 + 6.53121i −1.19488 + 0.388240i −0.837875 0.545862i \(-0.816202\pi\)
−0.357005 + 0.934102i \(0.616202\pi\)
\(284\) −5.82360 7.85284i −0.345567 0.465980i
\(285\) −4.92938 3.43650i −0.291991 0.203560i
\(286\) 11.0730 5.71036i 0.654762 0.337661i
\(287\) −2.74408 1.99369i −0.161978 0.117684i
\(288\) 16.7422 2.77485i 0.986542 0.163509i
\(289\) −3.09537 + 2.24892i −0.182081 + 0.132289i
\(290\) −2.79062 7.71191i −0.163871 0.452859i
\(291\) 1.90227 + 12.7209i 0.111513 + 0.745711i
\(292\) −0.167031 17.0799i −0.00977475 0.999525i
\(293\) 32.2373i 1.88332i 0.336559 + 0.941662i \(0.390737\pi\)
−0.336559 + 0.941662i \(0.609263\pi\)
\(294\) 6.08980 8.31612i 0.355164 0.485006i
\(295\) 6.60941 13.9275i 0.384815 0.810889i
\(296\) 11.2984 11.6348i 0.656703 0.676258i
\(297\) 14.1075 + 29.5573i 0.818602 + 1.71509i
\(298\) −0.803489 1.55806i −0.0465449 0.0902557i
\(299\) 9.18843 0.531380
\(300\) 3.68715 + 16.9235i 0.212878 + 0.977079i
\(301\) −8.89378 −0.512629
\(302\) 8.14277 + 15.7897i 0.468564 + 0.908598i
\(303\) 6.94800 + 13.9325i 0.399152 + 0.800402i
\(304\) 3.74534 + 4.94853i 0.214810 + 0.283817i
\(305\) 3.78578 + 3.57842i 0.216773 + 0.204900i
\(306\) 2.22030 + 15.2381i 0.126926 + 0.871106i
\(307\) 7.22877i 0.412568i −0.978492 0.206284i \(-0.933863\pi\)
0.978492 0.206284i \(-0.0661371\pi\)
\(308\) −42.2009 + 0.412700i −2.40462 + 0.0235157i
\(309\) 6.52505 0.975752i 0.371197 0.0555086i
\(310\) −9.67929 6.55508i −0.549746 0.372304i
\(311\) 16.9924 12.3457i 0.963553 0.700062i 0.00957975 0.999954i \(-0.496951\pi\)
0.953973 + 0.299892i \(0.0969506\pi\)
\(312\) −2.07662 + 6.52476i −0.117565 + 0.369392i
\(313\) −3.39935 2.46977i −0.192143 0.139600i 0.487555 0.873092i \(-0.337889\pi\)
−0.679698 + 0.733493i \(0.737889\pi\)
\(314\) 11.0721 5.70990i 0.624836 0.322228i
\(315\) −9.97759 + 20.1198i −0.562174 + 1.13362i
\(316\) −19.0794 + 14.1491i −1.07330 + 0.795949i
\(317\) 19.7318 6.41126i 1.10825 0.360092i 0.302977 0.952998i \(-0.402019\pi\)
0.805272 + 0.592906i \(0.202019\pi\)
\(318\) −18.3068 + 13.1961i −1.02659 + 0.739998i
\(319\) −15.5467 + 5.05141i −0.870446 + 0.282825i
\(320\) 1.77861 17.7999i 0.0994273 0.995045i
\(321\) −9.37627 + 4.67585i −0.523332 + 0.260980i
\(322\) −27.8014 13.9947i −1.54931 0.779894i
\(323\) −4.55588 + 3.31004i −0.253496 + 0.184176i
\(324\) −16.9759 5.98480i −0.943107 0.332489i
\(325\) −6.75740 1.78212i −0.374833 0.0988545i
\(326\) 1.11330 7.25863i 0.0616600 0.402018i
\(327\) −3.02909 0.506627i −0.167509 0.0280165i
\(328\) −2.05581 1.99637i −0.113513 0.110231i
\(329\) 14.0573 + 4.56748i 0.775002 + 0.251814i
\(330\) 33.9561 6.23089i 1.86922 0.342999i
\(331\) −16.7097 + 5.42930i −0.918446 + 0.298421i −0.729829 0.683630i \(-0.760400\pi\)
−0.188617 + 0.982051i \(0.560400\pi\)
\(332\) −10.4414 3.28009i −0.573047 0.180018i
\(333\) −16.4492 + 5.03213i −0.901410 + 0.275759i
\(334\) 4.14475 + 4.10441i 0.226791 + 0.224583i
\(335\) 12.6226 + 23.1390i 0.689644 + 1.26422i
\(336\) 16.2209 16.5791i 0.884925 0.904462i
\(337\) −13.7814 10.0128i −0.750722 0.545431i 0.145329 0.989383i \(-0.453576\pi\)
−0.896050 + 0.443952i \(0.853576\pi\)
\(338\) 11.1003 + 10.9923i 0.603779 + 0.597903i
\(339\) −5.85480 + 35.0055i −0.317989 + 1.90124i
\(340\) 16.1169 + 1.92947i 0.874063 + 0.104640i
\(341\) −13.6957 + 18.8505i −0.741664 + 1.02081i
\(342\) −0.949100 6.51376i −0.0513215 0.352224i
\(343\) 9.34716i 0.504699i
\(344\) −7.43787 1.06645i −0.401023 0.0574993i
\(345\) 24.3638 + 7.39399i 1.31170 + 0.398079i
\(346\) 8.03791 + 4.04614i 0.432121 + 0.217522i
\(347\) −2.42398 + 7.46024i −0.130126 + 0.400486i −0.994800 0.101847i \(-0.967525\pi\)
0.864674 + 0.502333i \(0.167525\pi\)
\(348\) 4.06956 8.00950i 0.218151 0.429354i
\(349\) 3.78500 0.202606 0.101303 0.994856i \(-0.467699\pi\)
0.101303 + 0.994856i \(0.467699\pi\)
\(350\) 17.7315 + 15.6842i 0.947788 + 0.838356i
\(351\) 5.26681 5.00061i 0.281122 0.266913i
\(352\) −35.3421 4.71517i −1.88374 0.251320i
\(353\) 8.81210 + 2.86322i 0.469021 + 0.152394i 0.533986 0.845493i \(-0.320694\pi\)
−0.0649650 + 0.997888i \(0.520694\pi\)
\(354\) 16.0805 5.15828i 0.854670 0.274159i
\(355\) 10.8398 + 1.40536i 0.575318 + 0.0745890i
\(356\) −19.3265 + 0.189001i −1.02430 + 0.0100170i
\(357\) 14.7531 + 15.0102i 0.780815 + 0.794425i
\(358\) −0.278582 1.70490i −0.0147235 0.0901068i
\(359\) −10.1108 7.34595i −0.533629 0.387704i 0.288084 0.957605i \(-0.406982\pi\)
−0.821714 + 0.569901i \(0.806982\pi\)
\(360\) −10.7568 + 15.6298i −0.566935 + 0.823763i
\(361\) −13.4238 + 9.75299i −0.706518 + 0.513315i
\(362\) −23.9239 23.6911i −1.25741 1.24517i
\(363\) −7.35902 49.2113i −0.386248 2.58292i
\(364\) 2.97882 + 8.87172i 0.156133 + 0.465005i
\(365\) 13.8782 + 13.1181i 0.726419 + 0.686630i
\(366\) −0.0214034 + 5.70650i −0.00111878 + 0.298284i
\(367\) −3.83285 + 1.24537i −0.200073 + 0.0650077i −0.407339 0.913277i \(-0.633543\pi\)
0.207266 + 0.978285i \(0.433543\pi\)
\(368\) −21.5722 15.0374i −1.12453 0.783880i
\(369\) 0.889156 + 2.90650i 0.0462876 + 0.151306i
\(370\) 0.598979 + 18.1223i 0.0311395 + 0.942133i
\(371\) −9.53119 + 29.3340i −0.494835 + 1.52294i
\(372\) −2.01768 12.6459i −0.104612 0.655658i
\(373\) −1.58480 + 1.15142i −0.0820577 + 0.0596184i −0.628058 0.778167i \(-0.716150\pi\)
0.546000 + 0.837785i \(0.316150\pi\)
\(374\) 4.90489 31.9795i 0.253626 1.65362i
\(375\) −16.4836 10.1632i −0.851211 0.524823i
\(376\) 11.2084 + 5.50539i 0.578029 + 0.283919i
\(377\) 2.13065 + 2.93258i 0.109734 + 0.151036i
\(378\) −23.5521 + 7.10855i −1.21139 + 0.365624i
\(379\) −17.6066 5.72073i −0.904390 0.293854i −0.180342 0.983604i \(-0.557721\pi\)
−0.724048 + 0.689750i \(0.757721\pi\)
\(380\) −6.88942 0.824781i −0.353420 0.0423104i
\(381\) 22.2382 + 11.5740i 1.13930 + 0.592956i
\(382\) −5.29017 0.811385i −0.270668 0.0415141i
\(383\) −4.14810 12.7665i −0.211958 0.652340i −0.999356 0.0358942i \(-0.988572\pi\)
0.787398 0.616445i \(-0.211428\pi\)
\(384\) 15.5536 11.9200i 0.793714 0.608291i
\(385\) 32.4120 34.2902i 1.65187 1.74759i
\(386\) −22.4703 + 11.5880i −1.14371 + 0.589811i
\(387\) 6.36574 + 4.79520i 0.323589 + 0.243754i
\(388\) 8.84695 + 11.9297i 0.449136 + 0.605638i
\(389\) −10.9893 15.1255i −0.557181 0.766894i 0.433784 0.901017i \(-0.357178\pi\)
−0.990965 + 0.134123i \(0.957178\pi\)
\(390\) −3.64089 6.73424i −0.184363 0.341001i
\(391\) 14.0251 19.3039i 0.709281 0.976241i
\(392\) 1.68926 11.7815i 0.0853203 0.595057i
\(393\) −10.5481 10.7319i −0.532079 0.541354i
\(394\) 2.51113 0.410320i 0.126509 0.0206716i
\(395\) 3.41449 26.3366i 0.171802 1.32514i
\(396\) 30.4279 + 22.4578i 1.52906 + 1.12855i
\(397\) −0.665902 + 2.04944i −0.0334207 + 0.102858i −0.966375 0.257136i \(-0.917221\pi\)
0.932955 + 0.359994i \(0.117221\pi\)
\(398\) 3.35925 + 6.51397i 0.168384 + 0.326516i
\(399\) −6.30641 6.41634i −0.315715 0.321219i
\(400\) 12.9481 + 15.2429i 0.647407 + 0.762144i
\(401\) 34.5952i 1.72760i −0.503834 0.863801i \(-0.668078\pi\)
0.503834 0.863801i \(-0.331922\pi\)
\(402\) −9.02540 + 27.4269i −0.450146 + 1.36793i
\(403\) 4.91398 + 1.59665i 0.244783 + 0.0795348i
\(404\) 14.6466 + 10.4241i 0.728698 + 0.518619i
\(405\) 17.9894 9.02125i 0.893898 0.448269i
\(406\) −1.98013 12.1182i −0.0982720 0.601418i
\(407\) 36.1409 1.79144
\(408\) 10.5381 + 14.3221i 0.521714 + 0.709049i
\(409\) −21.9558 15.9518i −1.08565 0.788768i −0.106987 0.994260i \(-0.534120\pi\)
−0.978659 + 0.205492i \(0.934120\pi\)
\(410\) 3.20213 0.105837i 0.158142 0.00522692i
\(411\) −2.47705 + 14.8101i −0.122184 + 0.730529i
\(412\) 6.11922 4.53796i 0.301472 0.223569i
\(413\) 13.5667 18.6730i 0.667575 0.918838i
\(414\) 12.3534 + 25.0062i 0.607138 + 1.22899i
\(415\) 10.7420 5.85985i 0.527303 0.287649i
\(416\) 1.42738 + 7.77661i 0.0699831 + 0.381280i
\(417\) −6.32376 3.29124i −0.309676 0.161173i
\(418\) −2.09667 + 13.6701i −0.102551 + 0.668627i
\(419\) −5.70337 17.5532i −0.278628 0.857528i −0.988237 0.152932i \(-0.951128\pi\)
0.709609 0.704596i \(-0.248872\pi\)
\(420\) 0.759430 + 25.9211i 0.0370564 + 1.26482i
\(421\) −0.559054 + 1.72059i −0.0272466 + 0.0838566i −0.963755 0.266788i \(-0.914038\pi\)
0.936509 + 0.350645i \(0.114038\pi\)
\(422\) −22.3672 11.2592i −1.08882 0.548091i
\(423\) −7.59889 10.8484i −0.369471 0.527465i
\(424\) −11.4884 + 23.3891i −0.557925 + 1.13588i
\(425\) −14.0585 + 11.4764i −0.681936 + 0.556685i
\(426\) 7.00165 + 9.71335i 0.339231 + 0.470613i
\(427\) 4.58437 + 6.30985i 0.221853 + 0.305355i
\(428\) −7.01519 + 9.85686i −0.339092 + 0.476449i
\(429\) −13.6550 + 6.80961i −0.659271 + 0.328771i
\(430\) 6.62959 5.15970i 0.319707 0.248823i
\(431\) 4.84535 + 14.9124i 0.233392 + 0.718307i 0.997331 + 0.0730181i \(0.0232631\pi\)
−0.763938 + 0.645289i \(0.776737\pi\)
\(432\) −20.5490 + 3.12075i −0.988664 + 0.150147i
\(433\) −1.94685 5.99180i −0.0935598 0.287947i 0.893316 0.449429i \(-0.148373\pi\)
−0.986876 + 0.161482i \(0.948373\pi\)
\(434\) −12.4364 12.3154i −0.596966 0.591156i
\(435\) 3.28969 + 9.49050i 0.157729 + 0.455035i
\(436\) −3.36183 + 1.12879i −0.161003 + 0.0540592i
\(437\) −5.99524 + 8.25175i −0.286791 + 0.394735i
\(438\) −0.0784625 + 20.9194i −0.00374908 + 0.999566i
\(439\) 7.59345 + 10.4515i 0.362416 + 0.498823i 0.950820 0.309744i \(-0.100244\pi\)
−0.588404 + 0.808567i \(0.700244\pi\)
\(440\) 31.2179 24.7904i 1.48826 1.18184i
\(441\) −7.59557 + 10.0833i −0.361694 + 0.480156i
\(442\) −7.08045 + 1.15695i −0.336783 + 0.0550305i
\(443\) −6.36801 −0.302553 −0.151277 0.988491i \(-0.548338\pi\)
−0.151277 + 0.988491i \(0.548338\pi\)
\(444\) −14.0291 + 14.0611i −0.665793 + 0.667311i
\(445\) 14.8435 15.7037i 0.703650 0.744424i
\(446\) 18.1298 + 9.12619i 0.858469 + 0.432138i
\(447\) 0.958162 + 1.92136i 0.0453195 + 0.0908772i
\(448\) 7.52558 25.7037i 0.355550 1.21438i
\(449\) 23.4324i 1.10584i 0.833234 + 0.552921i \(0.186487\pi\)
−0.833234 + 0.552921i \(0.813513\pi\)
\(450\) −4.23499 20.7862i −0.199639 0.979869i
\(451\) 6.38594i 0.300702i
\(452\) 13.0448 + 38.8508i 0.613575 + 1.82739i
\(453\) −9.71026 19.4716i −0.456228 0.914854i
\(454\) 13.1216 26.0668i 0.615825 1.22338i
\(455\) −9.45268 4.48585i −0.443149 0.210300i
\(456\) −4.50467 6.12219i −0.210950 0.286698i
\(457\) −8.32279 −0.389324 −0.194662 0.980870i \(-0.562361\pi\)
−0.194662 + 0.980870i \(0.562361\pi\)
\(458\) −0.290488 1.77777i −0.0135736 0.0830695i
\(459\) −2.46656 18.6979i −0.115129 0.872744i
\(460\) 28.8426 5.69698i 1.34479 0.265623i
\(461\) −11.5566 15.9064i −0.538247 0.740833i 0.450113 0.892972i \(-0.351384\pi\)
−0.988359 + 0.152139i \(0.951384\pi\)
\(462\) 51.6875 + 0.193865i 2.40472 + 0.00901940i
\(463\) −5.74976 + 7.91387i −0.267214 + 0.367789i −0.921447 0.388505i \(-0.872992\pi\)
0.654233 + 0.756293i \(0.272992\pi\)
\(464\) −0.202881 10.3719i −0.00941854 0.481504i
\(465\) 11.7450 + 8.18795i 0.544659 + 0.379707i
\(466\) −15.3429 + 15.4937i −0.710747 + 0.717732i
\(467\) 9.68285 + 29.8008i 0.448069 + 1.37901i 0.879083 + 0.476669i \(0.158156\pi\)
−0.431014 + 0.902345i \(0.641844\pi\)
\(468\) 2.65121 7.95602i 0.122552 0.367767i
\(469\) 12.1948 + 37.5316i 0.563102 + 1.73305i
\(470\) −13.1284 + 4.75060i −0.605566 + 0.219129i
\(471\) −13.6539 + 6.80906i −0.629139 + 0.313745i
\(472\) 13.5849 13.9894i 0.625297 0.643916i
\(473\) −9.84215 13.5466i −0.452542 0.622871i
\(474\) 23.5997 17.0113i 1.08397 0.781355i
\(475\) 6.00950 4.90574i 0.275735 0.225091i
\(476\) 23.1854 + 7.28351i 1.06270 + 0.333839i
\(477\) 22.6378 15.8570i 1.03651 0.726041i
\(478\) −2.56269 + 5.09094i −0.117215 + 0.232854i
\(479\) −6.93603 + 21.3469i −0.316915 + 0.975365i 0.658044 + 0.752980i \(0.271384\pi\)
−0.974959 + 0.222385i \(0.928616\pi\)
\(480\) −2.47309 + 21.7689i −0.112881 + 0.993609i
\(481\) −2.47653 7.62196i −0.112920 0.347532i
\(482\) 7.96392 + 1.22148i 0.362747 + 0.0556367i
\(483\) 33.8146 + 17.5990i 1.53862 + 0.800784i
\(484\) −34.2248 46.1505i −1.55567 2.09775i
\(485\) −16.4674 2.13497i −0.747745 0.0969439i
\(486\) 20.6901 + 7.61047i 0.938523 + 0.345218i
\(487\) −3.01679 + 4.15226i −0.136704 + 0.188157i −0.871880 0.489719i \(-0.837099\pi\)
0.735176 + 0.677876i \(0.237099\pi\)
\(488\) 3.07730 + 5.82664i 0.139303 + 0.263760i
\(489\) −1.48366 + 8.87071i −0.0670934 + 0.401147i
\(490\) 8.17294 + 10.5012i 0.369216 + 0.474397i
\(491\) −6.49724 4.72052i −0.293216 0.213034i 0.431445 0.902139i \(-0.358004\pi\)
−0.724661 + 0.689105i \(0.758004\pi\)
\(492\) 2.48454 + 2.47888i 0.112012 + 0.111757i
\(493\) 9.41324 0.423951
\(494\) 3.02664 0.494555i 0.136175 0.0222511i
\(495\) −41.6870 + 7.06790i −1.87369 + 0.317679i
\(496\) −8.92381 11.7906i −0.400691 0.529413i
\(497\) 15.5642 + 5.05712i 0.698150 + 0.226843i
\(498\) 12.7326 + 4.18992i 0.570559 + 0.187755i
\(499\) 10.7903i 0.483038i 0.970396 + 0.241519i \(0.0776457\pi\)
−0.970396 + 0.241519i \(0.922354\pi\)
\(500\) −22.3165 1.40442i −0.998026 0.0628076i
\(501\) −5.00778 5.09508i −0.223731 0.227631i
\(502\) −20.0452 + 10.3373i −0.894662 + 0.461377i
\(503\) 1.58509 4.87839i 0.0706755 0.217517i −0.909480 0.415748i \(-0.863520\pi\)
0.980155 + 0.198231i \(0.0635197\pi\)
\(504\) −20.1394 + 20.0345i −0.897080 + 0.892407i
\(505\) −19.7555 + 3.70175i −0.879108 + 0.164726i
\(506\) −9.44988 57.8326i −0.420098 2.57097i
\(507\) −13.4117 13.6455i −0.595635 0.606018i
\(508\) 28.9468 0.283082i 1.28430 0.0125597i
\(509\) −9.98245 + 13.7397i −0.442464 + 0.609000i −0.970757 0.240062i \(-0.922832\pi\)
0.528293 + 0.849062i \(0.322832\pi\)
\(510\) −19.7053 2.62995i −0.872567 0.116456i
\(511\) 16.8058 + 23.1312i 0.743444 + 1.02326i
\(512\) 9.37576 20.5936i 0.414354 0.910116i
\(513\) 1.05437 + 7.99269i 0.0465514 + 0.352886i
\(514\) 15.1334 + 29.3454i 0.667507 + 1.29437i
\(515\) −1.09511 + 8.44678i −0.0482563 + 0.372210i
\(516\) 9.09099 + 1.42926i 0.400208 + 0.0629196i
\(517\) 8.59927 + 26.4658i 0.378196 + 1.16397i
\(518\) −4.11564 + 26.8337i −0.180831 + 1.17900i
\(519\) −9.77645 5.08822i −0.429138 0.223348i
\(520\) −7.36738 4.88499i −0.323081 0.214221i
\(521\) −35.1836 11.4319i −1.54142 0.500839i −0.589655 0.807655i \(-0.700736\pi\)
−0.951769 + 0.306816i \(0.900736\pi\)
\(522\) −5.11643 + 9.74126i −0.223940 + 0.426363i
\(523\) −3.49557 4.81123i −0.152850 0.210381i 0.725724 0.687986i \(-0.241505\pi\)
−0.878575 + 0.477605i \(0.841505\pi\)
\(524\) −16.5770 5.20753i −0.724168 0.227492i
\(525\) −21.4547 19.5012i −0.936359 0.851102i
\(526\) −32.9776 5.05798i −1.43789 0.220538i
\(527\) 10.8551 7.88666i 0.472854 0.343548i
\(528\) 43.2030 + 6.35998i 1.88017 + 0.276782i
\(529\) 6.24760 19.2281i 0.271635 0.836006i
\(530\) −9.91331 27.3956i −0.430607 1.18999i
\(531\) −19.7782 + 6.05054i −0.858301 + 0.262571i
\(532\) −9.91094 3.11344i −0.429694 0.134985i
\(533\) −1.34677 + 0.437591i −0.0583350 + 0.0189542i
\(534\) 23.6709 + 0.0887828i 1.02434 + 0.00384201i
\(535\) −2.49119 13.2950i −0.107704 0.574793i
\(536\) 5.69806 + 32.8500i 0.246119 + 1.41890i
\(537\) 0.312910 + 2.09249i 0.0135031 + 0.0902978i
\(538\) 12.6230 12.7470i 0.544215 0.549563i
\(539\) 21.4576 15.5899i 0.924246 0.671504i
\(540\) 13.4321 18.9625i 0.578028 0.816017i
\(541\) −17.2017 12.4977i −0.739557 0.537320i 0.153015 0.988224i \(-0.451102\pi\)
−0.892572 + 0.450904i \(0.851102\pi\)
\(542\) −38.0653 + 6.21990i −1.63505 + 0.267167i
\(543\) 28.9054 + 29.4093i 1.24045 + 1.26207i
\(544\) 18.5166 + 8.87136i 0.793892 + 0.380357i
\(545\) 1.69986 3.58198i 0.0728140 0.153435i
\(546\) −3.50096 10.9140i −0.149827 0.467074i
\(547\) −19.2618 6.25852i −0.823573 0.267595i −0.133237 0.991084i \(-0.542537\pi\)
−0.690336 + 0.723489i \(0.742537\pi\)
\(548\) 5.51898 + 16.4370i 0.235759 + 0.702153i
\(549\) 0.120768 6.98801i 0.00515426 0.298241i
\(550\) −4.26714 + 44.3643i −0.181951 + 1.89170i
\(551\) −4.02383 −0.171421
\(552\) 26.1688 + 18.7728i 1.11382 + 0.799022i
\(553\) 12.2869 37.8150i 0.522490 1.60806i
\(554\) −19.2952 + 38.3311i −0.819773 + 1.62853i
\(555\) −0.433243 22.2031i −0.0183902 0.942468i
\(556\) −8.23143 + 0.0804984i −0.349090 + 0.00341389i
\(557\) 16.8673i 0.714688i 0.933973 + 0.357344i \(0.116318\pi\)
−0.933973 + 0.357344i \(0.883682\pi\)
\(558\) 2.26137 + 15.5200i 0.0957314 + 0.657013i
\(559\) −2.18249 + 3.00394i −0.0923094 + 0.127053i
\(560\) 14.8512 + 26.0016i 0.627578 + 1.09877i
\(561\) −6.53660 + 39.0819i −0.275975 + 1.65004i
\(562\) −0.534892 + 0.540149i −0.0225631 + 0.0227848i
\(563\) 8.42376 + 6.12022i 0.355019 + 0.257937i 0.750972 0.660334i \(-0.229585\pi\)
−0.395952 + 0.918271i \(0.629585\pi\)
\(564\) −13.6350 6.92781i −0.574135 0.291713i
\(565\) −41.3949 19.6443i −1.74150 0.826443i
\(566\) 21.0318 21.2385i 0.884034 0.892722i
\(567\) 28.9604 8.31511i 1.21622 0.349202i
\(568\) 12.4099 + 6.09557i 0.520710 + 0.255765i
\(569\) −17.7676 + 5.77305i −0.744857 + 0.242019i −0.656767 0.754094i \(-0.728076\pi\)
−0.0880902 + 0.996113i \(0.528076\pi\)
\(570\) 8.42334 + 1.12421i 0.352815 + 0.0470880i
\(571\) −18.2308 5.92356i −0.762937 0.247893i −0.0983984 0.995147i \(-0.531372\pi\)
−0.664539 + 0.747254i \(0.731372\pi\)
\(572\) −10.2165 + 14.3549i −0.427173 + 0.600210i
\(573\) 6.46507 + 1.08131i 0.270082 + 0.0451722i
\(574\) 4.74139 + 0.727216i 0.197902 + 0.0303534i
\(575\) −17.7935 + 27.6375i −0.742042 + 1.15256i
\(576\) −19.2449 + 14.3399i −0.801872 + 0.597496i
\(577\) 22.4704 16.3257i 0.935453 0.679646i −0.0118688 0.999930i \(-0.503778\pi\)
0.947322 + 0.320283i \(0.103778\pi\)
\(578\) 2.43290 4.83311i 0.101195 0.201031i
\(579\) 27.7099 13.8187i 1.15159 0.574284i
\(580\) 8.50638 + 7.88439i 0.353208 + 0.327382i
\(581\) 17.4235 5.66125i 0.722851 0.234868i
\(582\) −10.6366 14.7561i −0.440901 0.611659i
\(583\) −55.2275 + 17.9445i −2.28729 + 0.743186i
\(584\) 11.2810 + 21.3598i 0.466812 + 0.883874i
\(585\) 4.34716 + 8.30730i 0.179733 + 0.343465i
\(586\) −20.8960 40.5197i −0.863206 1.67385i
\(587\) −0.972383 0.706478i −0.0401345 0.0291595i 0.567537 0.823348i \(-0.307896\pi\)
−0.607672 + 0.794188i \(0.707896\pi\)
\(588\) −2.26394 + 14.4001i −0.0933632 + 0.593848i
\(589\) −4.64015 + 3.37127i −0.191194 + 0.138911i
\(590\) 0.720201 + 21.7899i 0.0296502 + 0.897076i
\(591\) −3.08201 + 0.460882i −0.126777 + 0.0189581i
\(592\) −6.65954 + 21.9475i −0.273705 + 0.902036i
\(593\) 42.0564i 1.72705i −0.504307 0.863524i \(-0.668252\pi\)
0.504307 0.863524i \(-0.331748\pi\)
\(594\) −36.8909 28.0068i −1.51365 1.14913i
\(595\) −23.8528 + 13.0119i −0.977869 + 0.533437i
\(596\) 2.01984 + 1.43753i 0.0827359 + 0.0588837i
\(597\) −4.00591 8.03288i −0.163951 0.328764i
\(598\) −11.5491 + 5.95587i −0.472278 + 0.243554i
\(599\) −16.4260 −0.671147 −0.335574 0.942014i \(-0.608930\pi\)
−0.335574 + 0.942014i \(0.608930\pi\)
\(600\) −15.6042 18.8815i −0.637037 0.770833i
\(601\) 25.8789 1.05562 0.527812 0.849361i \(-0.323013\pi\)
0.527812 + 0.849361i \(0.323013\pi\)
\(602\) 11.1788 5.76489i 0.455612 0.234959i
\(603\) 11.5073 33.4383i 0.468612 1.36171i
\(604\) −20.4696 14.5683i −0.832896 0.592778i
\(605\) 63.7047 + 8.25921i 2.58997 + 0.335785i
\(606\) −17.7640 13.0084i −0.721615 0.528430i
\(607\) 40.9111i 1.66053i 0.557369 + 0.830265i \(0.311811\pi\)
−0.557369 + 0.830265i \(0.688189\pi\)
\(608\) −7.91519 3.79219i −0.321003 0.153794i
\(609\) 2.22413 + 14.8732i 0.0901262 + 0.602692i
\(610\) −7.07792 2.04387i −0.286577 0.0827537i
\(611\) 4.99228 3.62710i 0.201966 0.146737i
\(612\) −12.6680 17.7139i −0.512073 0.716043i
\(613\) −34.4079 24.9988i −1.38972 1.00969i −0.995896 0.0905090i \(-0.971151\pi\)
−0.393828 0.919184i \(-0.628849\pi\)
\(614\) 4.68564 + 9.08599i 0.189097 + 0.366681i
\(615\) −3.92318 + 0.0765522i −0.158198 + 0.00308688i
\(616\) 52.7756 27.8731i 2.12639 1.12304i
\(617\) −15.7439 + 5.11551i −0.633826 + 0.205942i −0.608269 0.793731i \(-0.708136\pi\)
−0.0255567 + 0.999673i \(0.508136\pi\)
\(618\) −7.56899 + 5.45594i −0.304469 + 0.219470i
\(619\) 29.0408 9.43594i 1.16725 0.379262i 0.339634 0.940558i \(-0.389697\pi\)
0.827616 + 0.561295i \(0.189697\pi\)
\(620\) 16.4150 + 1.96516i 0.659244 + 0.0789227i
\(621\) −14.7141 30.8281i −0.590455 1.23709i
\(622\) −13.3557 + 26.5320i −0.535515 + 1.06383i
\(623\) 26.1737 19.0163i 1.04863 0.761871i
\(624\) −1.61916 9.54714i −0.0648182 0.382192i
\(625\) 18.4462 16.8742i 0.737847 0.674967i
\(626\) 5.87360 + 0.900870i 0.234756 + 0.0360060i
\(627\) 2.79416 16.7061i 0.111588 0.667179i
\(628\) −10.2157 + 14.3538i −0.407649 + 0.572777i
\(629\) −19.7931 6.43117i −0.789202 0.256427i
\(630\) −0.500510 31.7564i −0.0199408 1.26521i
\(631\) 32.5793 10.5857i 1.29696 0.421408i 0.422438 0.906392i \(-0.361174\pi\)
0.874523 + 0.484983i \(0.161174\pi\)
\(632\) 14.8099 30.1514i 0.589106 1.19936i
\(633\) 27.2050 + 14.1591i 1.08130 + 0.562772i
\(634\) −20.6456 + 20.8485i −0.819940 + 0.827998i
\(635\) −22.2323 + 23.5206i −0.882262 + 0.933386i
\(636\) 14.4566 28.4527i 0.573241 1.12822i
\(637\) −4.75821 3.45704i −0.188527 0.136973i
\(638\) 16.2666 16.4265i 0.644001 0.650330i
\(639\) −8.41350 12.0113i −0.332833 0.475160i
\(640\) 9.30220 + 23.5259i 0.367702 + 0.929944i
\(641\) −6.08577 + 8.37634i −0.240373 + 0.330846i −0.912111 0.409944i \(-0.865548\pi\)
0.671737 + 0.740789i \(0.265548\pi\)
\(642\) 8.75436 11.9548i 0.345507 0.471818i
\(643\) 13.0927i 0.516326i 0.966101 + 0.258163i \(0.0831171\pi\)
−0.966101 + 0.258163i \(0.916883\pi\)
\(644\) 44.0153 0.430443i 1.73445 0.0169618i
\(645\) −8.20431 + 6.20889i −0.323044 + 0.244475i
\(646\) 3.58083 7.11355i 0.140886 0.279879i
\(647\) 13.8642 42.6697i 0.545059 1.67752i −0.175790 0.984428i \(-0.556248\pi\)
0.720849 0.693092i \(-0.243752\pi\)
\(648\) 25.2167 3.48128i 0.990605 0.136757i
\(649\) 43.4551 1.70576
\(650\) 9.64866 2.14011i 0.378452 0.0839420i
\(651\) 15.0259 + 15.2879i 0.588913 + 0.599179i
\(652\) 3.30566 + 9.84514i 0.129460 + 0.385566i
\(653\) −19.1849 6.23355i −0.750762 0.243937i −0.0914532 0.995809i \(-0.529151\pi\)
−0.659309 + 0.751872i \(0.729151\pi\)
\(654\) 4.13572 1.32665i 0.161719 0.0518760i
\(655\) 17.0541 9.30320i 0.666360 0.363506i
\(656\) 3.87802 + 1.17671i 0.151411 + 0.0459428i
\(657\) 0.442722 25.6172i 0.0172722 0.999424i
\(658\) −20.6295 + 3.37087i −0.804220 + 0.131410i
\(659\) 12.3618 + 8.98135i 0.481546 + 0.349864i 0.801924 0.597426i \(-0.203810\pi\)
−0.320378 + 0.947290i \(0.603810\pi\)
\(660\) −38.6413 + 29.8418i −1.50411 + 1.16159i
\(661\) −9.05939 + 6.58203i −0.352369 + 0.256011i −0.749862 0.661594i \(-0.769880\pi\)
0.397493 + 0.917605i \(0.369880\pi\)
\(662\) 17.4835 17.6553i 0.679514 0.686191i
\(663\) 8.69013 1.29952i 0.337497 0.0504690i
\(664\) 15.2502 2.64525i 0.591821 0.102656i
\(665\) 10.1962 5.56214i 0.395393 0.215691i
\(666\) 17.4135 16.9872i 0.674760 0.658242i
\(667\) 16.2151 5.26860i 0.627850 0.204001i
\(668\) −7.87007 2.47232i −0.304502 0.0956569i
\(669\) −22.0511 11.4766i −0.852544 0.443713i
\(670\) −30.8641 20.9020i −1.19238 0.807515i
\(671\) −4.53762 + 13.9654i −0.175173 + 0.539127i
\(672\) −9.64198 + 31.3528i −0.371947 + 1.20946i
\(673\) −33.9636 + 24.6760i −1.30920 + 0.951190i −0.309201 + 0.950997i \(0.600062\pi\)
−1.00000 0.000193836i \(0.999938\pi\)
\(674\) 23.8123 + 3.65224i 0.917217 + 0.140679i
\(675\) 4.84188 + 25.5256i 0.186364 + 0.982481i
\(676\) −21.0774 6.62129i −0.810669 0.254665i
\(677\) 3.51308 + 4.83533i 0.135018 + 0.185837i 0.871172 0.490977i \(-0.163360\pi\)
−0.736154 + 0.676814i \(0.763360\pi\)
\(678\) −15.3313 47.7941i −0.588795 1.83552i
\(679\) −23.6445 7.68255i −0.907391 0.294829i
\(680\) −21.5083 + 8.02169i −0.824807 + 0.307618i
\(681\) −16.5010 + 31.7049i −0.632320 + 1.21493i
\(682\) 4.99562 32.5710i 0.191292 1.24721i
\(683\) −11.1033 34.1724i −0.424856 1.30757i −0.903132 0.429362i \(-0.858738\pi\)
0.478276 0.878209i \(-0.341262\pi\)
\(684\) 5.41512 + 7.57207i 0.207052 + 0.289525i
\(685\) −17.5134 8.31112i −0.669151 0.317551i
\(686\) −6.05876 11.7486i −0.231325 0.448564i
\(687\) 0.326283 + 2.18192i 0.0124485 + 0.0832456i
\(688\) 10.0401 3.48073i 0.382774 0.132702i
\(689\) 7.56885 + 10.4176i 0.288350 + 0.396880i
\(690\) −35.4160 + 6.49879i −1.34827 + 0.247405i
\(691\) 8.98251 12.3634i 0.341711 0.470325i −0.603229 0.797568i \(-0.706120\pi\)
0.944940 + 0.327243i \(0.106120\pi\)
\(692\) −12.7257 + 0.124450i −0.483758 + 0.00473086i
\(693\) −63.2950 1.09388i −2.40438 0.0415529i
\(694\) −1.78893 10.9481i −0.0679068 0.415585i
\(695\) 6.32207 6.68842i 0.239810 0.253706i
\(696\) 0.0765925 + 12.7051i 0.00290323 + 0.481587i
\(697\) −1.13636 + 3.49735i −0.0430427 + 0.132472i
\(698\) −4.75743 + 2.45341i −0.180072 + 0.0928629i
\(699\) 19.0462 18.7199i 0.720392 0.708050i
\(700\) −32.4534 8.22035i −1.22662 0.310700i
\(701\) 20.5628i 0.776646i −0.921523 0.388323i \(-0.873054\pi\)
0.921523 0.388323i \(-0.126946\pi\)
\(702\) −3.37859 + 9.69928i −0.127517 + 0.366076i
\(703\) 8.46085 + 2.74910i 0.319107 + 0.103684i
\(704\) 47.4785 16.9819i 1.78941 0.640030i
\(705\) 16.1561 5.60021i 0.608476 0.210916i
\(706\) −12.9320 + 2.11310i −0.486703 + 0.0795275i
\(707\) −30.0927 −1.13175
\(708\) −16.8683 + 16.9068i −0.633951 + 0.635397i
\(709\) 34.5999 + 25.1383i 1.29943 + 0.944089i 0.999950 0.0100151i \(-0.00318797\pi\)
0.299477 + 0.954104i \(0.403188\pi\)
\(710\) −14.5357 + 5.25987i −0.545516 + 0.197399i
\(711\) −29.1828 + 20.4416i −1.09444 + 0.766618i
\(712\) 24.1693 12.7648i 0.905782 0.478382i
\(713\) 14.2845 19.6610i 0.534960 0.736310i
\(714\) −28.2729 9.30381i −1.05809 0.348186i
\(715\) −3.62802 19.3620i −0.135680 0.724099i
\(716\) 1.45526 + 1.96235i 0.0543856 + 0.0733364i
\(717\) 3.22271 6.19207i 0.120354 0.231247i
\(718\) 17.4701 + 2.67949i 0.651978 + 0.0999978i
\(719\) 12.5987 + 38.7748i 0.469852 + 1.44605i 0.852777 + 0.522275i \(0.174917\pi\)
−0.382926 + 0.923779i \(0.625083\pi\)
\(720\) 3.38934 26.6179i 0.126313 0.991990i
\(721\) −3.94069 + 12.1282i −0.146759 + 0.451678i
\(722\) 10.5509 20.9600i 0.392663 0.780049i
\(723\) −9.73264 1.62782i −0.361961 0.0605393i
\(724\) 45.4268 + 14.2705i 1.68827 + 0.530358i
\(725\) −12.9468 + 0.729691i −0.480833 + 0.0271000i
\(726\) 41.1481 + 57.0845i 1.52715 + 2.11861i
\(727\) −18.4729 25.4258i −0.685122 0.942990i 0.314859 0.949139i \(-0.398043\pi\)
−0.999981 + 0.00614857i \(0.998043\pi\)
\(728\) −9.49473 9.22019i −0.351898 0.341723i
\(729\) −25.2117 9.66286i −0.933766 0.357884i
\(730\) −25.9468 7.49257i −0.960335 0.277313i
\(731\) 2.97963 + 9.17035i 0.110206 + 0.339178i
\(732\) −3.67201 7.18648i −0.135721 0.265620i
\(733\) −1.03847 3.19608i −0.0383568 0.118050i 0.930045 0.367446i \(-0.119768\pi\)
−0.968402 + 0.249396i \(0.919768\pi\)
\(734\) 4.01034 4.04976i 0.148025 0.149479i
\(735\) −9.83484 12.9956i −0.362764 0.479349i
\(736\) 36.8616 + 4.91790i 1.35874 + 0.181276i
\(737\) −43.6711 + 60.1082i −1.60865 + 2.21411i
\(738\) −3.00157 3.07689i −0.110489 0.113262i
\(739\) −21.9837 30.2580i −0.808685 1.11306i −0.991525 0.129917i \(-0.958529\pi\)
0.182840 0.983143i \(-0.441471\pi\)
\(740\) −12.4996 22.3900i −0.459495 0.823073i
\(741\) −3.71472 + 0.555497i −0.136464 + 0.0204067i
\(742\) −7.03415 43.0485i −0.258232 1.58036i
\(743\) −15.9159 −0.583899 −0.291949 0.956434i \(-0.594304\pi\)
−0.291949 + 0.956434i \(0.594304\pi\)
\(744\) 10.7330 + 14.5870i 0.393492 + 0.534785i
\(745\) −2.72438 + 0.510488i −0.0998134 + 0.0187028i
\(746\) 1.24562 2.47450i 0.0456053 0.0905978i
\(747\) −15.5233 5.34209i −0.567967 0.195457i
\(748\) 14.5638 + 43.3750i 0.532507 + 1.58595i
\(749\) 20.2517i 0.739980i
\(750\) 27.3063 + 2.08969i 0.997085 + 0.0763045i
\(751\) 36.0651i 1.31603i −0.753003 0.658017i \(-0.771395\pi\)
0.753003 0.658017i \(-0.228605\pi\)
\(752\) −17.6566 + 0.345375i −0.643871 + 0.0125945i
\(753\) 24.7193 12.3273i 0.900822 0.449230i
\(754\) −4.57893 2.30495i −0.166755 0.0839413i
\(755\) 27.6096 5.17342i 1.00481 0.188280i
\(756\) 24.9953 24.2012i 0.909072 0.880188i
\(757\) 41.5086 1.50866 0.754328 0.656497i \(-0.227963\pi\)
0.754328 + 0.656497i \(0.227963\pi\)
\(758\) 25.8382 4.22198i 0.938486 0.153349i
\(759\) 10.6143 + 70.9803i 0.385276 + 2.57642i
\(760\) 9.19406 3.42899i 0.333504 0.124383i
\(761\) 21.2426 + 29.2380i 0.770045 + 1.05988i 0.996311 + 0.0858106i \(0.0273480\pi\)
−0.226266 + 0.974065i \(0.572652\pi\)
\(762\) −35.4538 0.132977i −1.28436 0.00481725i
\(763\) 3.48920 4.80247i 0.126317 0.173861i
\(764\) 7.17525 2.40920i 0.259591 0.0871619i
\(765\) 24.0882 + 3.54724i 0.870912 + 0.128251i
\(766\) 13.4890 + 13.3577i 0.487378 + 0.482635i
\(767\) −2.97773 9.16450i −0.107520 0.330911i
\(768\) −11.8231 + 25.0642i −0.426629 + 0.904426i
\(769\) 11.5628 + 35.5867i 0.416966 + 1.28329i 0.910481 + 0.413551i \(0.135712\pi\)
−0.493516 + 0.869737i \(0.664288\pi\)
\(770\) −18.5126 + 64.1093i −0.667148 + 2.31034i
\(771\) −18.0466 36.1881i −0.649934 1.30328i
\(772\) 20.7322 29.1302i 0.746168 1.04842i
\(773\) 2.61384 + 3.59764i 0.0940132 + 0.129398i 0.853432 0.521204i \(-0.174517\pi\)
−0.759419 + 0.650602i \(0.774517\pi\)
\(774\) −11.1094 1.90096i −0.399320