Properties

Label 731.2.n.a.208.2
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.2
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.63

$q$-expansion

\(f(q)\) \(=\) \(q-2.67881i q^{2} +(-0.393175 - 0.105351i) q^{3} -5.17600 q^{4} +(3.35902 + 0.900047i) q^{5} +(-0.282214 + 1.05324i) q^{6} +(-1.82716 + 0.489587i) q^{7} +8.50788i q^{8} +(-2.45459 - 1.41716i) q^{9} +O(q^{10})\) \(q-2.67881i q^{2} +(-0.393175 - 0.105351i) q^{3} -5.17600 q^{4} +(3.35902 + 0.900047i) q^{5} +(-0.282214 + 1.05324i) q^{6} +(-1.82716 + 0.489587i) q^{7} +8.50788i q^{8} +(-2.45459 - 1.41716i) q^{9} +(2.41105 - 8.99816i) q^{10} +(-2.86515 - 2.86515i) q^{11} +(2.03507 + 0.545295i) q^{12} +(-2.42672 + 4.20320i) q^{13} +(1.31151 + 4.89461i) q^{14} +(-1.22586 - 0.707751i) q^{15} +12.4389 q^{16} +(-0.418714 - 4.10179i) q^{17} +(-3.79629 + 6.57536i) q^{18} +(-5.21121 + 3.00869i) q^{19} +(-17.3863 - 4.65864i) q^{20} +0.769972 q^{21} +(-7.67518 + 7.67518i) q^{22} +(-0.191642 + 0.715219i) q^{23} +(0.896312 - 3.34508i) q^{24} +(6.14280 + 3.54655i) q^{25} +(11.2595 + 6.50070i) q^{26} +(1.67925 + 1.67925i) q^{27} +(9.45739 - 2.53410i) q^{28} +(2.53130 + 9.44693i) q^{29} +(-1.89593 + 3.28384i) q^{30} +(-6.00571 - 1.60922i) q^{31} -16.3058i q^{32} +(0.824658 + 1.42835i) q^{33} +(-10.9879 + 1.12165i) q^{34} -6.57812 q^{35} +(12.7049 + 7.33520i) q^{36} +(-9.45652 - 2.53387i) q^{37} +(8.05970 + 13.9598i) q^{38} +(1.39693 - 1.39693i) q^{39} +(-7.65748 + 28.5781i) q^{40} +(4.08647 + 4.08647i) q^{41} -2.06261i q^{42} +(0.144398 - 6.55585i) q^{43} +(14.8300 + 14.8300i) q^{44} +(-6.96950 - 6.96950i) q^{45} +(1.91593 + 0.513373i) q^{46} +1.64427 q^{47} +(-4.89068 - 1.31045i) q^{48} +(-2.96335 + 1.71089i) q^{49} +(9.50051 - 16.4554i) q^{50} +(-0.267499 + 1.65683i) q^{51} +(12.5607 - 21.7557i) q^{52} +(8.63079 - 4.98299i) q^{53} +(4.49840 - 4.49840i) q^{54} +(-7.04532 - 12.2029i) q^{55} +(-4.16534 - 15.5453i) q^{56} +(2.36588 - 0.633936i) q^{57} +(25.3065 - 6.78085i) q^{58} -12.8412i q^{59} +(6.34505 + 3.66332i) q^{60} +(-4.75453 + 1.27397i) q^{61} +(-4.31080 + 16.0881i) q^{62} +(5.17875 + 1.38764i) q^{63} -18.8021 q^{64} +(-11.9345 + 11.9345i) q^{65} +(3.82627 - 2.20910i) q^{66} +(1.04200 + 1.80479i) q^{67} +(2.16726 + 21.2308i) q^{68} +(0.150698 - 0.261016i) q^{69} +17.6215i q^{70} +(-0.951110 - 3.54959i) q^{71} +(12.0570 - 20.8833i) q^{72} +(-1.53965 - 5.74605i) q^{73} +(-6.78773 + 25.3322i) q^{74} +(-2.04156 - 2.04156i) q^{75} +(26.9732 - 15.5730i) q^{76} +(6.63783 + 3.83235i) q^{77} +(-3.74211 - 3.74211i) q^{78} +(-1.86596 + 0.499981i) q^{79} +(41.7827 + 11.1956i) q^{80} +(3.76814 + 6.52662i) q^{81} +(10.9469 - 10.9469i) q^{82} +(-4.88834 + 2.82229i) q^{83} -3.98537 q^{84} +(2.28533 - 14.1549i) q^{85} +(-17.5618 - 0.386814i) q^{86} -3.98097i q^{87} +(24.3763 - 24.3763i) q^{88} +(-0.557799 - 0.966137i) q^{89} +(-18.6699 + 18.6699i) q^{90} +(2.37618 - 8.86801i) q^{91} +(0.991940 - 3.70197i) q^{92} +(2.19176 + 1.26541i) q^{93} -4.40467i q^{94} +(-20.2125 + 5.41592i) q^{95} +(-1.71783 + 6.41101i) q^{96} +(-6.87086 + 6.87086i) q^{97} +(4.58314 + 7.93824i) q^{98} +(2.97240 + 11.0931i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.67881i 1.89420i −0.320937 0.947101i \(-0.603998\pi\)
0.320937 0.947101i \(-0.396002\pi\)
\(3\) −0.393175 0.105351i −0.226999 0.0608243i 0.143526 0.989646i \(-0.454156\pi\)
−0.370526 + 0.928822i \(0.620822\pi\)
\(4\) −5.17600 −2.58800
\(5\) 3.35902 + 0.900047i 1.50220 + 0.402513i 0.913836 0.406084i \(-0.133106\pi\)
0.588363 + 0.808597i \(0.299773\pi\)
\(6\) −0.282214 + 1.05324i −0.115213 + 0.429983i
\(7\) −1.82716 + 0.489587i −0.690602 + 0.185046i −0.587017 0.809574i \(-0.699698\pi\)
−0.103585 + 0.994621i \(0.533031\pi\)
\(8\) 8.50788i 3.00799i
\(9\) −2.45459 1.41716i −0.818196 0.472386i
\(10\) 2.41105 8.99816i 0.762441 2.84547i
\(11\) −2.86515 2.86515i −0.863875 0.863875i 0.127911 0.991786i \(-0.459173\pi\)
−0.991786 + 0.127911i \(0.959173\pi\)
\(12\) 2.03507 + 0.545295i 0.587474 + 0.157413i
\(13\) −2.42672 + 4.20320i −0.673050 + 1.16576i 0.303985 + 0.952677i \(0.401683\pi\)
−0.977035 + 0.213080i \(0.931651\pi\)
\(14\) 1.31151 + 4.89461i 0.350515 + 1.30814i
\(15\) −1.22586 0.707751i −0.316516 0.182740i
\(16\) 12.4389 3.10974
\(17\) −0.418714 4.10179i −0.101553 0.994830i
\(18\) −3.79629 + 6.57536i −0.894794 + 1.54983i
\(19\) −5.21121 + 3.00869i −1.19553 + 0.690241i −0.959556 0.281518i \(-0.909162\pi\)
−0.235977 + 0.971759i \(0.575829\pi\)
\(20\) −17.3863 4.65864i −3.88769 1.04170i
\(21\) 0.769972 0.168022
\(22\) −7.67518 + 7.67518i −1.63635 + 1.63635i
\(23\) −0.191642 + 0.715219i −0.0399602 + 0.149133i −0.983023 0.183480i \(-0.941264\pi\)
0.943063 + 0.332613i \(0.107930\pi\)
\(24\) 0.896312 3.34508i 0.182959 0.682812i
\(25\) 6.14280 + 3.54655i 1.22856 + 0.709309i
\(26\) 11.2595 + 6.50070i 2.20818 + 1.27489i
\(27\) 1.67925 + 1.67925i 0.323173 + 0.323173i
\(28\) 9.45739 2.53410i 1.78728 0.478900i
\(29\) 2.53130 + 9.44693i 0.470050 + 1.75425i 0.639578 + 0.768726i \(0.279109\pi\)
−0.169528 + 0.985525i \(0.554224\pi\)
\(30\) −1.89593 + 3.28384i −0.346147 + 0.599545i
\(31\) −6.00571 1.60922i −1.07866 0.289025i −0.324611 0.945848i \(-0.605233\pi\)
−0.754045 + 0.656822i \(0.771900\pi\)
\(32\) 16.3058i 2.88248i
\(33\) 0.824658 + 1.42835i 0.143555 + 0.248644i
\(34\) −10.9879 + 1.12165i −1.88441 + 0.192362i
\(35\) −6.57812 −1.11191
\(36\) 12.7049 + 7.33520i 2.11749 + 1.22253i
\(37\) −9.45652 2.53387i −1.55464 0.416565i −0.623679 0.781680i \(-0.714363\pi\)
−0.930962 + 0.365115i \(0.881030\pi\)
\(38\) 8.05970 + 13.9598i 1.30746 + 2.26458i
\(39\) 1.39693 1.39693i 0.223688 0.223688i
\(40\) −7.65748 + 28.5781i −1.21075 + 4.51860i
\(41\) 4.08647 + 4.08647i 0.638199 + 0.638199i 0.950111 0.311912i \(-0.100969\pi\)
−0.311912 + 0.950111i \(0.600969\pi\)
\(42\) 2.06261i 0.318267i
\(43\) 0.144398 6.55585i 0.0220205 0.999758i
\(44\) 14.8300 + 14.8300i 2.23571 + 2.23571i
\(45\) −6.96950 6.96950i −1.03895 1.03895i
\(46\) 1.91593 + 0.513373i 0.282489 + 0.0756927i
\(47\) 1.64427 0.239841 0.119921 0.992783i \(-0.461736\pi\)
0.119921 + 0.992783i \(0.461736\pi\)
\(48\) −4.89068 1.31045i −0.705908 0.189148i
\(49\) −2.96335 + 1.71089i −0.423336 + 0.244413i
\(50\) 9.50051 16.4554i 1.34357 2.32714i
\(51\) −0.267499 + 1.65683i −0.0374574 + 0.232003i
\(52\) 12.5607 21.7557i 1.74185 3.01698i
\(53\) 8.63079 4.98299i 1.18553 0.684466i 0.228243 0.973604i \(-0.426702\pi\)
0.957287 + 0.289138i \(0.0933687\pi\)
\(54\) 4.49840 4.49840i 0.612154 0.612154i
\(55\) −7.04532 12.2029i −0.949991 1.64543i
\(56\) −4.16534 15.5453i −0.556617 2.07732i
\(57\) 2.36588 0.633936i 0.313369 0.0839669i
\(58\) 25.3065 6.78085i 3.32291 0.890370i
\(59\) 12.8412i 1.67179i −0.548892 0.835893i \(-0.684950\pi\)
0.548892 0.835893i \(-0.315050\pi\)
\(60\) 6.34505 + 3.66332i 0.819142 + 0.472932i
\(61\) −4.75453 + 1.27397i −0.608756 + 0.163116i −0.550011 0.835157i \(-0.685376\pi\)
−0.0587448 + 0.998273i \(0.518710\pi\)
\(62\) −4.31080 + 16.0881i −0.547472 + 2.04319i
\(63\) 5.17875 + 1.38764i 0.652462 + 0.174827i
\(64\) −18.8021 −2.35026
\(65\) −11.9345 + 11.9345i −1.48029 + 1.48029i
\(66\) 3.82627 2.20910i 0.470981 0.271921i
\(67\) 1.04200 + 1.80479i 0.127300 + 0.220490i 0.922630 0.385687i \(-0.126036\pi\)
−0.795330 + 0.606177i \(0.792702\pi\)
\(68\) 2.16726 + 21.2308i 0.262819 + 2.57462i
\(69\) 0.150698 0.261016i 0.0181419 0.0314227i
\(70\) 17.6215i 2.10617i
\(71\) −0.951110 3.54959i −0.112876 0.421259i 0.886243 0.463220i \(-0.153306\pi\)
−0.999119 + 0.0419612i \(0.986639\pi\)
\(72\) 12.0570 20.8833i 1.42093 2.46112i
\(73\) −1.53965 5.74605i −0.180202 0.672524i −0.995607 0.0936324i \(-0.970152\pi\)
0.815405 0.578891i \(-0.196515\pi\)
\(74\) −6.78773 + 25.3322i −0.789058 + 2.94480i
\(75\) −2.04156 2.04156i −0.235739 0.235739i
\(76\) 26.9732 15.5730i 3.09404 1.78634i
\(77\) 6.63783 + 3.83235i 0.756451 + 0.436737i
\(78\) −3.74211 3.74211i −0.423711 0.423711i
\(79\) −1.86596 + 0.499981i −0.209936 + 0.0562523i −0.362254 0.932079i \(-0.617993\pi\)
0.152318 + 0.988332i \(0.451326\pi\)
\(80\) 41.7827 + 11.1956i 4.67144 + 1.25171i
\(81\) 3.76814 + 6.52662i 0.418683 + 0.725179i
\(82\) 10.9469 10.9469i 1.20888 1.20888i
\(83\) −4.88834 + 2.82229i −0.536566 + 0.309786i −0.743686 0.668529i \(-0.766924\pi\)
0.207120 + 0.978315i \(0.433591\pi\)
\(84\) −3.98537 −0.434840
\(85\) 2.28533 14.1549i 0.247879 1.53531i
\(86\) −17.5618 0.386814i −1.89374 0.0417113i
\(87\) 3.98097i 0.426805i
\(88\) 24.3763 24.3763i 2.59853 2.59853i
\(89\) −0.557799 0.966137i −0.0591266 0.102410i 0.834947 0.550330i \(-0.185498\pi\)
−0.894074 + 0.447920i \(0.852165\pi\)
\(90\) −18.6699 + 18.6699i −1.96798 + 1.96798i
\(91\) 2.37618 8.86801i 0.249091 0.929620i
\(92\) 0.991940 3.70197i 0.103417 0.385957i
\(93\) 2.19176 + 1.26541i 0.227275 + 0.131217i
\(94\) 4.40467i 0.454307i
\(95\) −20.2125 + 5.41592i −2.07376 + 0.555662i
\(96\) −1.71783 + 6.41101i −0.175325 + 0.654321i
\(97\) −6.87086 + 6.87086i −0.697630 + 0.697630i −0.963899 0.266269i \(-0.914209\pi\)
0.266269 + 0.963899i \(0.414209\pi\)
\(98\) 4.58314 + 7.93824i 0.462968 + 0.801883i
\(99\) 2.97240 + 11.0931i 0.298737 + 1.11490i
\(100\) −31.7951 18.3569i −3.17951 1.83569i
\(101\) 2.68638 4.65294i 0.267304 0.462985i −0.700860 0.713299i \(-0.747200\pi\)
0.968165 + 0.250314i \(0.0805337\pi\)
\(102\) 4.43833 + 0.716578i 0.439460 + 0.0709518i
\(103\) −4.65590 + 8.06426i −0.458760 + 0.794595i −0.998896 0.0469826i \(-0.985039\pi\)
0.540136 + 0.841578i \(0.318373\pi\)
\(104\) −35.7603 20.6462i −3.50658 2.02453i
\(105\) 2.58635 + 0.693011i 0.252402 + 0.0676309i
\(106\) −13.3485 23.1202i −1.29652 2.24563i
\(107\) 6.14901 6.14901i 0.594447 0.594447i −0.344382 0.938829i \(-0.611912\pi\)
0.938829 + 0.344382i \(0.111912\pi\)
\(108\) −8.69182 8.69182i −0.836370 0.836370i
\(109\) 2.70603 10.0990i 0.259190 0.967311i −0.706521 0.707692i \(-0.749736\pi\)
0.965711 0.259619i \(-0.0835970\pi\)
\(110\) −32.6891 + 18.8730i −3.11678 + 1.79947i
\(111\) 3.45112 + 1.99250i 0.327566 + 0.189120i
\(112\) −22.7280 + 6.08994i −2.14759 + 0.575445i
\(113\) −5.98269 5.98269i −0.562804 0.562804i 0.367299 0.930103i \(-0.380283\pi\)
−0.930103 + 0.367299i \(0.880283\pi\)
\(114\) −1.69819 6.33774i −0.159050 0.593583i
\(115\) −1.28746 + 2.22995i −0.120056 + 0.207944i
\(116\) −13.1020 48.8973i −1.21649 4.54000i
\(117\) 11.9132 6.87808i 1.10137 0.635878i
\(118\) −34.3992 −3.16670
\(119\) 2.77324 + 7.28964i 0.254222 + 0.668240i
\(120\) 6.02146 10.4295i 0.549681 0.952076i
\(121\) 5.41816i 0.492560i
\(122\) 3.41273 + 12.7365i 0.308974 + 1.15311i
\(123\) −1.17618 2.03721i −0.106053 0.183689i
\(124\) 31.0855 + 8.32934i 2.79156 + 0.747997i
\(125\) 5.14686 + 5.14686i 0.460349 + 0.460349i
\(126\) 3.71722 13.8729i 0.331157 1.23589i
\(127\) 7.71681i 0.684757i 0.939562 + 0.342378i \(0.111232\pi\)
−0.939562 + 0.342378i \(0.888768\pi\)
\(128\) 17.7555i 1.56938i
\(129\) −0.747438 + 2.56238i −0.0658082 + 0.225605i
\(130\) 31.9701 + 31.9701i 2.80396 + 2.80396i
\(131\) −4.00544 + 4.00544i −0.349957 + 0.349957i −0.860093 0.510137i \(-0.829595\pi\)
0.510137 + 0.860093i \(0.329595\pi\)
\(132\) −4.26843 7.39313i −0.371519 0.643490i
\(133\) 8.04870 8.04870i 0.697911 0.697911i
\(134\) 4.83468 2.79130i 0.417653 0.241132i
\(135\) 4.12924 + 7.15206i 0.355388 + 0.615551i
\(136\) 34.8975 3.56236i 2.99244 0.305470i
\(137\) −5.25790 −0.449213 −0.224606 0.974450i \(-0.572110\pi\)
−0.224606 + 0.974450i \(0.572110\pi\)
\(138\) −0.699212 0.403690i −0.0595209 0.0343644i
\(139\) −10.4619 2.80325i −0.887366 0.237769i −0.213783 0.976881i \(-0.568579\pi\)
−0.673582 + 0.739112i \(0.735245\pi\)
\(140\) 34.0483 2.87761
\(141\) −0.646484 0.173225i −0.0544438 0.0145882i
\(142\) −9.50866 + 2.54784i −0.797949 + 0.213810i
\(143\) 18.9957 5.08988i 1.58850 0.425637i
\(144\) −30.5325 17.6279i −2.54437 1.46900i
\(145\) 34.0107i 2.82444i
\(146\) −15.3925 + 4.12442i −1.27390 + 0.341339i
\(147\) 1.34536 0.360488i 0.110963 0.0297325i
\(148\) 48.9469 + 13.1153i 4.02341 + 1.07807i
\(149\) 10.3217 + 17.8777i 0.845586 + 1.46460i 0.885112 + 0.465379i \(0.154082\pi\)
−0.0395261 + 0.999219i \(0.512585\pi\)
\(150\) −5.46894 + 5.46894i −0.446537 + 0.446537i
\(151\) 7.84938i 0.638774i −0.947624 0.319387i \(-0.896523\pi\)
0.947624 0.319387i \(-0.103477\pi\)
\(152\) −25.5976 44.3363i −2.07624 3.59615i
\(153\) −4.78511 + 10.6616i −0.386853 + 0.861938i
\(154\) 10.2661 17.7815i 0.827268 1.43287i
\(155\) −18.7249 10.8108i −1.50402 0.868347i
\(156\) −7.23052 + 7.23052i −0.578905 + 0.578905i
\(157\) −5.91967 + 10.2532i −0.472441 + 0.818291i −0.999503 0.0315355i \(-0.989960\pi\)
0.527062 + 0.849827i \(0.323294\pi\)
\(158\) 1.33935 + 4.99853i 0.106553 + 0.397662i
\(159\) −3.91837 + 1.04992i −0.310747 + 0.0832644i
\(160\) 14.6759 54.7714i 1.16024 4.33006i
\(161\) 1.40065i 0.110386i
\(162\) 17.4835 10.0941i 1.37364 0.793069i
\(163\) −4.75975 + 1.27537i −0.372812 + 0.0998948i −0.440360 0.897821i \(-0.645149\pi\)
0.0675476 + 0.997716i \(0.478483\pi\)
\(164\) −21.1515 21.1515i −1.65166 1.65166i
\(165\) 1.48446 + 5.54008i 0.115565 + 0.431295i
\(166\) 7.56036 + 13.0949i 0.586797 + 1.01636i
\(167\) 20.5945 + 5.51828i 1.59365 + 0.427017i 0.943117 0.332460i \(-0.107879\pi\)
0.650533 + 0.759478i \(0.274545\pi\)
\(168\) 6.55083i 0.505407i
\(169\) −5.27790 9.14159i −0.405992 0.703199i
\(170\) −37.9181 6.12197i −2.90818 0.469533i
\(171\) 17.0552 1.30424
\(172\) −0.747404 + 33.9330i −0.0569890 + 2.58737i
\(173\) −10.7782 + 10.7782i −0.819451 + 0.819451i −0.986028 0.166577i \(-0.946728\pi\)
0.166577 + 0.986028i \(0.446728\pi\)
\(174\) −10.6642 −0.808454
\(175\) −12.9602 3.47268i −0.979702 0.262510i
\(176\) −35.6394 35.6394i −2.68642 2.68642i
\(177\) −1.35283 + 5.04885i −0.101685 + 0.379495i
\(178\) −2.58809 + 1.49424i −0.193986 + 0.111998i
\(179\) −21.2242 12.2538i −1.58637 0.915891i −0.993898 0.110300i \(-0.964819\pi\)
−0.592472 0.805591i \(-0.701848\pi\)
\(180\) 36.0741 + 36.0741i 2.68881 + 2.68881i
\(181\) 20.3671 5.45734i 1.51387 0.405641i 0.596153 0.802871i \(-0.296695\pi\)
0.917719 + 0.397231i \(0.130029\pi\)
\(182\) −23.7557 6.36531i −1.76089 0.471828i
\(183\) 2.00358 0.148109
\(184\) −6.08500 1.63047i −0.448592 0.120200i
\(185\) −29.4840 17.0226i −2.16771 1.25153i
\(186\) 3.38979 5.87129i 0.248552 0.430504i
\(187\) −10.5526 + 12.9519i −0.771680 + 0.947138i
\(188\) −8.51072 −0.620708
\(189\) −3.89041 2.24613i −0.282986 0.163382i
\(190\) 14.5082 + 54.1454i 1.05254 + 3.92812i
\(191\) −8.71969 15.1029i −0.630934 1.09281i −0.987361 0.158487i \(-0.949338\pi\)
0.356427 0.934323i \(-0.383995\pi\)
\(192\) 7.39249 + 1.98081i 0.533507 + 0.142953i
\(193\) −5.25388 5.25388i −0.378182 0.378182i 0.492264 0.870446i \(-0.336170\pi\)
−0.870446 + 0.492264i \(0.836170\pi\)
\(194\) 18.4057 + 18.4057i 1.32145 + 1.32145i
\(195\) 5.94963 3.43502i 0.426062 0.245987i
\(196\) 15.3383 8.85557i 1.09559 0.632541i
\(197\) 10.0608 2.69580i 0.716806 0.192068i 0.118060 0.993006i \(-0.462333\pi\)
0.598746 + 0.800939i \(0.295666\pi\)
\(198\) 29.7163 7.96247i 2.11185 0.565868i
\(199\) −2.99100 + 2.99100i −0.212027 + 0.212027i −0.805128 0.593101i \(-0.797903\pi\)
0.593101 + 0.805128i \(0.297903\pi\)
\(200\) −30.1736 + 52.2622i −2.13359 + 3.69549i
\(201\) −0.219550 0.819373i −0.0154859 0.0577941i
\(202\) −12.4643 7.19628i −0.876987 0.506328i
\(203\) −9.25018 16.0218i −0.649236 1.12451i
\(204\) 1.38458 8.57575i 0.0969397 0.600423i
\(205\) 10.0485 + 17.4045i 0.701819 + 1.21559i
\(206\) 21.6026 + 12.4723i 1.50512 + 0.868983i
\(207\) 1.48398 1.48398i 0.103144 0.103144i
\(208\) −30.1858 + 52.2833i −2.09301 + 3.62520i
\(209\) 23.5512 + 6.31053i 1.62907 + 0.436509i
\(210\) 1.85644 6.92833i 0.128107 0.478100i
\(211\) 7.78782 + 7.78782i 0.536135 + 0.536135i 0.922392 0.386256i \(-0.126232\pi\)
−0.386256 + 0.922392i \(0.626232\pi\)
\(212\) −44.6729 + 25.7919i −3.06815 + 1.77140i
\(213\) 1.49581i 0.102491i
\(214\) −16.4720 16.4720i −1.12600 1.12600i
\(215\) 6.38560 21.8913i 0.435495 1.49297i
\(216\) −14.2869 + 14.2869i −0.972100 + 0.972100i
\(217\) 11.7613 0.798406
\(218\) −27.0533 7.24892i −1.83228 0.490959i
\(219\) 2.42140i 0.163623i
\(220\) 36.4666 + 63.1620i 2.45858 + 4.25838i
\(221\) 18.2567 + 8.19394i 1.22808 + 0.551184i
\(222\) 5.33753 9.24487i 0.358231 0.620475i
\(223\) 0.797662i 0.0534154i 0.999643 + 0.0267077i \(0.00850234\pi\)
−0.999643 + 0.0267077i \(0.991498\pi\)
\(224\) 7.98308 + 29.7933i 0.533392 + 1.99065i
\(225\) −10.0520 17.4106i −0.670135 1.16071i
\(226\) −16.0265 + 16.0265i −1.06606 + 1.06606i
\(227\) −1.08469 + 4.04811i −0.0719932 + 0.268682i −0.992535 0.121962i \(-0.961081\pi\)
0.920542 + 0.390645i \(0.127748\pi\)
\(228\) −12.2458 + 3.28125i −0.810998 + 0.217306i
\(229\) 8.50479 + 4.91025i 0.562013 + 0.324478i 0.753953 0.656928i \(-0.228145\pi\)
−0.191940 + 0.981407i \(0.561478\pi\)
\(230\) 5.97360 + 3.44886i 0.393887 + 0.227411i
\(231\) −2.20608 2.20608i −0.145150 0.145150i
\(232\) −80.3733 + 21.5360i −5.27677 + 1.41391i
\(233\) −2.00419 7.47972i −0.131299 0.490013i 0.868687 0.495361i \(-0.164964\pi\)
−0.999986 + 0.00534829i \(0.998298\pi\)
\(234\) −18.4250 31.9131i −1.20448 2.08622i
\(235\) 5.52313 + 1.47992i 0.360289 + 0.0965391i
\(236\) 66.4662i 4.32658i
\(237\) 0.786320 0.0510769
\(238\) 19.5275 7.42897i 1.26578 0.481548i
\(239\) −8.88955 15.3971i −0.575017 0.995959i −0.996040 0.0889087i \(-0.971662\pi\)
0.421023 0.907050i \(-0.361671\pi\)
\(240\) −15.2484 8.80367i −0.984281 0.568275i
\(241\) 2.21266 + 8.25776i 0.142530 + 0.531929i 0.999853 + 0.0171500i \(0.00545929\pi\)
−0.857323 + 0.514779i \(0.827874\pi\)
\(242\) 14.5142 0.933007
\(243\) −2.63790 9.84479i −0.169222 0.631544i
\(244\) 24.6095 6.59408i 1.57546 0.422143i
\(245\) −11.4938 + 3.07976i −0.734314 + 0.196759i
\(246\) −5.45728 + 3.15076i −0.347944 + 0.200885i
\(247\) 29.2050i 1.85827i
\(248\) 13.6911 51.0958i 0.869384 3.24459i
\(249\) 2.21930 0.594660i 0.140643 0.0376851i
\(250\) 13.7874 13.7874i 0.871995 0.871995i
\(251\) 0.458682 0.794460i 0.0289517 0.0501459i −0.851187 0.524863i \(-0.824116\pi\)
0.880138 + 0.474717i \(0.157450\pi\)
\(252\) −26.8052 7.18243i −1.68857 0.452451i
\(253\) 2.59829 1.50013i 0.163353 0.0943121i
\(254\) 20.6718 1.29707
\(255\) −2.38976 + 5.32457i −0.149653 + 0.333437i
\(256\) 9.95950 0.622469
\(257\) 24.8188i 1.54816i −0.633091 0.774078i \(-0.718214\pi\)
0.633091 0.774078i \(-0.281786\pi\)
\(258\) 6.86412 + 2.00224i 0.427341 + 0.124654i
\(259\) 18.5191 1.15072
\(260\) 61.7727 61.7727i 3.83098 3.83098i
\(261\) 7.17450 26.7756i 0.444090 1.65737i
\(262\) 10.7298 + 10.7298i 0.662889 + 0.662889i
\(263\) −21.7530 + 12.5591i −1.34135 + 0.774426i −0.987005 0.160690i \(-0.948628\pi\)
−0.354341 + 0.935116i \(0.615295\pi\)
\(264\) −12.1522 + 7.01609i −0.747917 + 0.431810i
\(265\) 33.4759 8.96984i 2.05641 0.551013i
\(266\) −21.5609 21.5609i −1.32198 1.32198i
\(267\) 0.117529 + 0.438625i 0.00719267 + 0.0268434i
\(268\) −5.39337 9.34159i −0.329452 0.570628i
\(269\) 3.21341 3.21341i 0.195925 0.195925i −0.602326 0.798250i \(-0.705759\pi\)
0.798250 + 0.602326i \(0.205759\pi\)
\(270\) 19.1590 11.0614i 1.16598 0.673177i
\(271\) −1.35659 + 2.34969i −0.0824071 + 0.142733i −0.904283 0.426933i \(-0.859594\pi\)
0.821876 + 0.569666i \(0.192927\pi\)
\(272\) −5.20836 51.0219i −0.315803 3.09366i
\(273\) −1.86850 + 3.23634i −0.113087 + 0.195872i
\(274\) 14.0849i 0.850900i
\(275\) −7.43865 27.7614i −0.448568 1.67408i
\(276\) −0.780011 + 1.35102i −0.0469512 + 0.0813218i
\(277\) −10.4029 2.78745i −0.625049 0.167481i −0.0676272 0.997711i \(-0.521543\pi\)
−0.557422 + 0.830229i \(0.688210\pi\)
\(278\) −7.50937 + 28.0254i −0.450382 + 1.68085i
\(279\) 12.4610 + 12.4610i 0.746021 + 0.746021i
\(280\) 55.9659i 3.34460i
\(281\) −13.4141 + 7.74466i −0.800221 + 0.462008i −0.843548 0.537053i \(-0.819537\pi\)
0.0433274 + 0.999061i \(0.486204\pi\)
\(282\) −0.464036 + 1.73180i −0.0276329 + 0.103127i
\(283\) −11.1494 + 2.98748i −0.662765 + 0.177587i −0.574494 0.818509i \(-0.694801\pi\)
−0.0882715 + 0.996096i \(0.528134\pi\)
\(284\) 4.92294 + 18.3727i 0.292123 + 1.09022i
\(285\) 8.51761 0.504540
\(286\) −13.6348 50.8857i −0.806242 3.00894i
\(287\) −9.46732 5.46596i −0.558838 0.322646i
\(288\) −23.1078 + 40.0239i −1.36164 + 2.35843i
\(289\) −16.6494 + 3.43495i −0.979374 + 0.202056i
\(290\) 91.1081 5.35005
\(291\) 3.42530 1.97760i 0.200794 0.115929i
\(292\) 7.96922 + 29.7415i 0.466363 + 1.74049i
\(293\) 12.5328 0.732174 0.366087 0.930581i \(-0.380697\pi\)
0.366087 + 0.930581i \(0.380697\pi\)
\(294\) −0.965676 3.60395i −0.0563194 0.210187i
\(295\) 11.5577 43.1340i 0.672916 2.51136i
\(296\) 21.5578 80.4549i 1.25302 4.67634i
\(297\) 9.62263i 0.558362i
\(298\) 47.8908 27.6498i 2.77424 1.60171i
\(299\) −2.54114 2.54114i −0.146958 0.146958i
\(300\) 10.5671 + 10.5671i 0.610093 + 0.610093i
\(301\) 2.94582 + 12.0493i 0.169794 + 0.694510i
\(302\) −21.0270 −1.20997
\(303\) −1.54641 + 1.54641i −0.0888387 + 0.0888387i
\(304\) −64.8219 + 37.4249i −3.71779 + 2.14647i
\(305\) −17.1172 −0.980129
\(306\) 28.5603 + 12.8184i 1.63268 + 0.732778i
\(307\) 2.97141 + 5.14664i 0.169587 + 0.293734i 0.938275 0.345891i \(-0.112423\pi\)
−0.768687 + 0.639625i \(0.779090\pi\)
\(308\) −34.3574 19.8362i −1.95769 1.13028i
\(309\) 2.68016 2.68016i 0.152469 0.152469i
\(310\) −28.9601 + 50.1604i −1.64482 + 2.84892i
\(311\) 9.48084 + 2.54038i 0.537609 + 0.144052i 0.517400 0.855744i \(-0.326900\pi\)
0.0202093 + 0.999796i \(0.493567\pi\)
\(312\) 11.8849 + 11.8849i 0.672852 + 0.672852i
\(313\) −5.78173 + 21.5777i −0.326803 + 1.21964i 0.585684 + 0.810539i \(0.300826\pi\)
−0.912487 + 0.409105i \(0.865841\pi\)
\(314\) 27.4662 + 15.8576i 1.55001 + 0.894898i
\(315\) 16.1466 + 9.32224i 0.909757 + 0.525249i
\(316\) 9.65818 2.58790i 0.543315 0.145581i
\(317\) −7.97063 7.97063i −0.447675 0.447675i 0.446906 0.894581i \(-0.352526\pi\)
−0.894581 + 0.446906i \(0.852526\pi\)
\(318\) 2.81254 + 10.4965i 0.157719 + 0.588617i
\(319\) 19.8143 34.3194i 1.10939 1.92152i
\(320\) −63.1565 16.9227i −3.53056 0.946010i
\(321\) −3.06544 + 1.76983i −0.171096 + 0.0987823i
\(322\) −3.75206 −0.209094
\(323\) 14.5230 + 20.1155i 0.808082 + 1.11926i
\(324\) −19.5039 33.7817i −1.08355 1.87676i
\(325\) −29.8137 + 17.2129i −1.65376 + 0.954801i
\(326\) 3.41647 + 12.7504i 0.189221 + 0.706182i
\(327\) −2.12788 + 3.68560i −0.117672 + 0.203814i
\(328\) −34.7672 + 34.7672i −1.91970 + 1.91970i
\(329\) −3.00434 + 0.805011i −0.165635 + 0.0443817i
\(330\) 14.8408 3.97658i 0.816959 0.218904i
\(331\) −4.19929 2.42446i −0.230814 0.133261i 0.380133 0.924932i \(-0.375878\pi\)
−0.610948 + 0.791671i \(0.709211\pi\)
\(332\) 25.3021 14.6081i 1.38863 0.801726i
\(333\) 19.6210 + 19.6210i 1.07522 + 1.07522i
\(334\) 14.7824 55.1687i 0.808857 3.01869i
\(335\) 1.87569 + 7.00017i 0.102480 + 0.382460i
\(336\) 9.57764 0.522503
\(337\) −4.19476 15.6551i −0.228503 0.852786i −0.980971 0.194156i \(-0.937803\pi\)
0.752467 0.658630i \(-0.228864\pi\)
\(338\) −24.4885 + 14.1385i −1.33200 + 0.769031i
\(339\) 1.72196 + 2.98252i 0.0935240 + 0.161988i
\(340\) −11.8289 + 73.2655i −0.641511 + 3.97338i
\(341\) 12.5966 + 21.8179i 0.682143 + 1.18151i
\(342\) 45.6874i 2.47049i
\(343\) 13.9399 13.9399i 0.752685 0.752685i
\(344\) 55.7763 + 1.22852i 3.00726 + 0.0662374i
\(345\) 0.741124 0.741124i 0.0399008 0.0399008i
\(346\) 28.8727 + 28.8727i 1.55221 + 1.55221i
\(347\) 2.44287 9.11690i 0.131140 0.489421i −0.868844 0.495086i \(-0.835137\pi\)
0.999984 + 0.00566493i \(0.00180321\pi\)
\(348\) 20.6055i 1.10457i
\(349\) 19.1352 11.0477i 1.02428 0.591370i 0.108941 0.994048i \(-0.465254\pi\)
0.915342 + 0.402678i \(0.131921\pi\)
\(350\) −9.30264 + 34.7179i −0.497247 + 1.85575i
\(351\) −11.1333 + 2.98316i −0.594252 + 0.159229i
\(352\) −46.7184 + 46.7184i −2.49010 + 2.49010i
\(353\) −3.75456 + 6.50309i −0.199835 + 0.346125i −0.948475 0.316853i \(-0.897374\pi\)
0.748640 + 0.662977i \(0.230707\pi\)
\(354\) 13.5249 + 3.62398i 0.718839 + 0.192612i
\(355\) 12.7792i 0.678249i
\(356\) 2.88717 + 5.00072i 0.153020 + 0.265038i
\(357\) −0.322398 3.15826i −0.0170631 0.167153i
\(358\) −32.8255 + 56.8555i −1.73488 + 3.00490i
\(359\) −0.614303 0.354668i −0.0324217 0.0187187i 0.483702 0.875233i \(-0.339292\pi\)
−0.516123 + 0.856514i \(0.672625\pi\)
\(360\) 59.2957 59.2957i 3.12516 3.12516i
\(361\) 8.60444 14.9033i 0.452865 0.784386i
\(362\) −14.6191 54.5594i −0.768365 2.86758i
\(363\) 0.570807 2.13028i 0.0299596 0.111811i
\(364\) −12.2991 + 45.9008i −0.644647 + 2.40585i
\(365\) 20.6868i 1.08280i
\(366\) 5.36719i 0.280548i
\(367\) −5.59851 + 20.8939i −0.292240 + 1.09065i 0.651145 + 0.758953i \(0.274289\pi\)
−0.943385 + 0.331700i \(0.892378\pi\)
\(368\) −2.38383 + 8.89657i −0.124266 + 0.463766i
\(369\) −4.23943 15.8218i −0.220696 0.823649i
\(370\) −45.6002 + 78.9819i −2.37064 + 4.10608i
\(371\) −13.3302 + 13.3302i −0.692072 + 0.692072i
\(372\) −11.3445 6.54977i −0.588187 0.339590i
\(373\) 4.17104 7.22445i 0.215968 0.374068i −0.737603 0.675234i \(-0.764043\pi\)
0.953572 + 0.301166i \(0.0973759\pi\)
\(374\) 34.6957 + 28.2683i 1.79407 + 1.46172i
\(375\) −1.48139 2.56584i −0.0764986 0.132500i
\(376\) 13.9892i 0.721439i
\(377\) −45.8500 12.2855i −2.36140 0.632735i
\(378\) −6.01694 + 10.4217i −0.309478 + 0.536032i
\(379\) 1.23823 1.23823i 0.0636038 0.0636038i −0.674589 0.738193i \(-0.735679\pi\)
0.738193 + 0.674589i \(0.235679\pi\)
\(380\) 104.620 28.0328i 5.36688 1.43805i
\(381\) 0.812973 3.03406i 0.0416498 0.155439i
\(382\) −40.4578 + 23.3583i −2.07000 + 1.19512i
\(383\) 2.26025i 0.115493i 0.998331 + 0.0577467i \(0.0183916\pi\)
−0.998331 + 0.0577467i \(0.981608\pi\)
\(384\) 1.87056 6.98103i 0.0954566 0.356249i
\(385\) 18.8473 + 18.8473i 0.960548 + 0.960548i
\(386\) −14.0741 + 14.0741i −0.716354 + 0.716354i
\(387\) −9.64511 + 15.8873i −0.490288 + 0.807596i
\(388\) 35.5635 35.5635i 1.80546 1.80546i
\(389\) 19.5662i 0.992047i 0.868309 + 0.496023i \(0.165207\pi\)
−0.868309 + 0.496023i \(0.834793\pi\)
\(390\) −9.20175 15.9379i −0.465949 0.807047i
\(391\) 3.01392 + 0.486605i 0.152421 + 0.0246087i
\(392\) −14.5561 25.2118i −0.735192 1.27339i
\(393\) 1.99681 1.15286i 0.100726 0.0581541i
\(394\) −7.22151 26.9511i −0.363815 1.35777i
\(395\) −6.71779 −0.338008
\(396\) −15.3851 57.4180i −0.773131 2.88536i
\(397\) 1.76896 6.60185i 0.0887815 0.331337i −0.907222 0.420652i \(-0.861801\pi\)
0.996003 + 0.0893152i \(0.0284679\pi\)
\(398\) 8.01231 + 8.01231i 0.401621 + 0.401621i
\(399\) −4.01248 + 2.31661i −0.200875 + 0.115975i
\(400\) 76.4100 + 44.1153i 3.82050 + 2.20577i
\(401\) 21.0891 5.65081i 1.05314 0.282188i 0.309591 0.950870i \(-0.399808\pi\)
0.743548 + 0.668682i \(0.233141\pi\)
\(402\) −2.19494 + 0.588132i −0.109474 + 0.0293334i
\(403\) 21.3380 21.3380i 1.06292 1.06292i
\(404\) −13.9047 + 24.0836i −0.691784 + 1.19820i
\(405\) 6.78301 + 25.3145i 0.337050 + 1.25789i
\(406\) −42.9192 + 24.7794i −2.13005 + 1.22978i
\(407\) 19.8344 + 34.3542i 0.983156 + 1.70288i
\(408\) −14.0961 2.27585i −0.697862 0.112671i
\(409\) −8.19464 −0.405199 −0.202600 0.979262i \(-0.564939\pi\)
−0.202600 + 0.979262i \(0.564939\pi\)
\(410\) 46.6234 26.9180i 2.30256 1.32939i
\(411\) 2.06727 + 0.553924i 0.101971 + 0.0273231i
\(412\) 24.0989 41.7406i 1.18727 2.05641i
\(413\) 6.28690 + 23.4630i 0.309358 + 1.15454i
\(414\) −3.97530 3.97530i −0.195375 0.195375i
\(415\) −18.9602 + 5.08038i −0.930721 + 0.249386i
\(416\) 68.5363 + 39.5695i 3.36027 + 1.94005i
\(417\) 3.81802 + 2.20434i 0.186969 + 0.107947i
\(418\) 16.9047 63.0891i 0.826835 3.08579i
\(419\) 5.98302 + 5.98302i 0.292290 + 0.292290i 0.837984 0.545694i \(-0.183734\pi\)
−0.545694 + 0.837984i \(0.683734\pi\)
\(420\) −13.3869 3.58702i −0.653216 0.175029i
\(421\) 8.64064 14.9660i 0.421119 0.729400i −0.574930 0.818202i \(-0.694971\pi\)
0.996049 + 0.0888029i \(0.0283041\pi\)
\(422\) 20.8620 20.8620i 1.01555 1.01555i
\(423\) −4.03600 2.33019i −0.196237 0.113298i
\(424\) 42.3946 + 73.4297i 2.05887 + 3.56606i
\(425\) 11.9751 26.6815i 0.580879 1.29424i
\(426\) 4.00698 0.194139
\(427\) 8.06359 4.65551i 0.390224 0.225296i
\(428\) −31.8272 + 31.8272i −1.53843 + 1.53843i
\(429\) −8.00484 −0.386477
\(430\) −58.6424 17.1058i −2.82799 0.824914i
\(431\) −12.5309 12.5309i −0.603593 0.603593i 0.337671 0.941264i \(-0.390361\pi\)
−0.941264 + 0.337671i \(0.890361\pi\)
\(432\) 20.8882 + 20.8882i 1.00498 + 1.00498i
\(433\) −21.3451 + 12.3236i −1.02578 + 0.592234i −0.915773 0.401696i \(-0.868421\pi\)
−0.110007 + 0.993931i \(0.535087\pi\)
\(434\) 31.5061i 1.51234i
\(435\) 3.58306 13.3721i 0.171794 0.641145i
\(436\) −14.0064 + 52.2725i −0.670784 + 2.50340i
\(437\) −1.15319 4.30375i −0.0551643 0.205876i
\(438\) 6.48647 0.309935
\(439\) 5.09111 + 19.0003i 0.242985 + 0.906833i 0.974385 + 0.224885i \(0.0722005\pi\)
−0.731400 + 0.681949i \(0.761133\pi\)
\(440\) 103.820 59.9407i 4.94944 2.85756i
\(441\) 9.69841 0.461829
\(442\) 21.9500 48.9062i 1.04405 2.32623i
\(443\) −8.23190 + 14.2581i −0.391110 + 0.677422i −0.992596 0.121461i \(-0.961242\pi\)
0.601487 + 0.798883i \(0.294575\pi\)
\(444\) −17.8630 10.3132i −0.847739 0.489442i
\(445\) −1.00409 3.74732i −0.0475985 0.177640i
\(446\) 2.13678 0.101180
\(447\) −2.17480 8.11645i −0.102864 0.383895i
\(448\) 34.3544 9.20524i 1.62309 0.434907i
\(449\) −1.27121 + 4.74424i −0.0599923 + 0.223894i −0.989413 0.145128i \(-0.953641\pi\)
0.929421 + 0.369022i \(0.120307\pi\)
\(450\) −46.6397 + 26.9274i −2.19862 + 1.26937i
\(451\) 23.4167i 1.10265i
\(452\) 30.9664 + 30.9664i 1.45654 + 1.45654i
\(453\) −0.826939 + 3.08618i −0.0388530 + 0.145001i
\(454\) 10.8441 + 2.90566i 0.508938 + 0.136370i
\(455\) 15.9632 27.6491i 0.748368 1.29621i
\(456\) 5.39345 + 20.1286i 0.252571 + 0.942609i
\(457\) 2.77422i 0.129773i 0.997893 + 0.0648863i \(0.0206685\pi\)
−0.997893 + 0.0648863i \(0.979332\pi\)
\(458\) 13.1536 22.7827i 0.614627 1.06457i
\(459\) 6.18482 7.59108i 0.288683 0.354321i
\(460\) 6.66389 11.5422i 0.310706 0.538158i
\(461\) −27.4412 + 15.8432i −1.27806 + 0.737889i −0.976492 0.215555i \(-0.930844\pi\)
−0.301570 + 0.953444i \(0.597511\pi\)
\(462\) −5.90967 + 5.90967i −0.274943 + 0.274943i
\(463\) 20.6613 + 35.7864i 0.960212 + 1.66314i 0.721962 + 0.691932i \(0.243240\pi\)
0.238250 + 0.971204i \(0.423426\pi\)
\(464\) 31.4867 + 117.510i 1.46173 + 5.45526i
\(465\) 6.22323 + 6.22323i 0.288595 + 0.288595i
\(466\) −20.0367 + 5.36882i −0.928183 + 0.248706i
\(467\) −4.15207 + 2.39720i −0.192135 + 0.110929i −0.592982 0.805216i \(-0.702049\pi\)
0.400847 + 0.916145i \(0.368716\pi\)
\(468\) −61.6626 + 35.6009i −2.85035 + 1.64565i
\(469\) −2.78750 2.78750i −0.128715 0.128715i
\(470\) 3.96441 14.7954i 0.182865 0.682460i
\(471\) 3.40764 3.40764i 0.157016 0.157016i
\(472\) 109.252 5.02871
\(473\) −19.1972 + 18.3698i −0.882688 + 0.844642i
\(474\) 2.10640i 0.0967500i
\(475\) −42.6819 −1.95838
\(476\) −14.3543 37.7311i −0.657927 1.72940i
\(477\) −28.2467 −1.29333
\(478\) −41.2460 + 23.8134i −1.88655 + 1.08920i
\(479\) 38.8732 + 10.4160i 1.77616 + 0.475921i 0.989875 0.141943i \(-0.0453350\pi\)
0.786285 + 0.617864i \(0.212002\pi\)
\(480\) −11.5404 + 19.9886i −0.526746 + 0.912350i
\(481\) 33.5986 33.5986i 1.53196 1.53196i
\(482\) 22.1209 5.92728i 1.00758 0.269980i
\(483\) −0.147559 + 0.550699i −0.00671418 + 0.0250577i
\(484\) 28.0444i 1.27474i
\(485\) −29.2634 + 16.8952i −1.32878 + 0.767174i
\(486\) −26.3723 + 7.06643i −1.19627 + 0.320540i
\(487\) 28.4218 7.61560i 1.28792 0.345096i 0.451047 0.892500i \(-0.351051\pi\)
0.836868 + 0.547404i \(0.184384\pi\)
\(488\) −10.8388 40.4510i −0.490650 1.83113i
\(489\) 2.00577 0.0907043
\(490\) 8.25009 + 30.7897i 0.372701 + 1.39094i
\(491\) 13.4690 + 7.77630i 0.607845 + 0.350940i 0.772122 0.635475i \(-0.219196\pi\)
−0.164276 + 0.986414i \(0.552529\pi\)
\(492\) 6.08792 + 10.5446i 0.274465 + 0.475387i
\(493\) 37.6894 14.3384i 1.69745 0.645770i
\(494\) −78.2344 −3.51993
\(495\) 39.9373i 1.79505i
\(496\) −74.7047 20.0171i −3.35434 0.898792i
\(497\) 3.47566 + 6.02003i 0.155905 + 0.270035i
\(498\) −1.59298 5.94508i −0.0713831 0.266405i
\(499\) −1.64081 + 0.439655i −0.0734530 + 0.0196817i −0.295358 0.955387i \(-0.595439\pi\)
0.221905 + 0.975068i \(0.428772\pi\)
\(500\) −26.6401 26.6401i −1.19138 1.19138i
\(501\) −7.51588 4.33930i −0.335785 0.193865i
\(502\) −2.12820 1.22872i −0.0949864 0.0548404i
\(503\) −28.2847 + 7.57887i −1.26115 + 0.337925i −0.826636 0.562737i \(-0.809748\pi\)
−0.434519 + 0.900663i \(0.643082\pi\)
\(504\) −11.8059 + 44.0602i −0.525876 + 1.96260i
\(505\) 13.2115 13.2115i 0.587902 0.587902i
\(506\) −4.01854 6.96032i −0.178646 0.309424i
\(507\) 1.11206 + 4.15027i 0.0493884 + 0.184320i
\(508\) 39.9422i 1.77215i
\(509\) 5.49550 9.51848i 0.243584 0.421899i −0.718149 0.695889i \(-0.755010\pi\)
0.961732 + 0.273990i \(0.0883437\pi\)
\(510\) 14.2635 + 6.40170i 0.631597 + 0.283472i
\(511\) 5.62638 + 9.74517i 0.248896 + 0.431101i
\(512\) 8.83151i 0.390301i
\(513\) −13.8033 3.69858i −0.609430 0.163296i
\(514\) −66.4848 −2.93252
\(515\) −22.8975 + 22.8975i −1.00898 + 1.00898i
\(516\) 3.86873 13.2629i 0.170312 0.583865i
\(517\) −4.71107 4.71107i −0.207193 0.207193i
\(518\) 49.6092i 2.17970i
\(519\) 5.37320 3.10222i 0.235857 0.136172i
\(520\) −101.537 101.537i −4.45269 4.45269i
\(521\) −1.87510 + 6.99799i −0.0821498 + 0.306587i −0.994759 0.102245i \(-0.967397\pi\)
0.912609 + 0.408833i \(0.134064\pi\)
\(522\) −71.7266 19.2191i −3.13939 0.841196i
\(523\) −11.5277 + 19.9665i −0.504069 + 0.873074i 0.495920 + 0.868368i \(0.334831\pi\)
−0.999989 + 0.00470531i \(0.998502\pi\)
\(524\) 20.7321 20.7321i 0.905688 0.905688i
\(525\) 4.72978 + 2.73074i 0.206425 + 0.119179i
\(526\) 33.6433 + 58.2720i 1.46692 + 2.54078i
\(527\) −4.08603 + 25.3079i −0.177990 + 1.10243i
\(528\) 10.2579 + 17.7672i 0.446417 + 0.773217i
\(529\) 19.4438 + 11.2259i 0.845381 + 0.488081i
\(530\) −24.0285 89.6754i −1.04373 3.89525i
\(531\) −18.1981 + 31.5200i −0.789728 + 1.36785i
\(532\) −41.6601 + 41.6601i −1.80619 + 1.80619i
\(533\) −27.0929 + 7.25953i −1.17352 + 0.314445i
\(534\) 1.17499 0.314838i 0.0508468 0.0136244i
\(535\) 26.1890 15.1202i 1.13225 0.653705i
\(536\) −15.3549 + 8.86517i −0.663232 + 0.382917i
\(537\) 7.05386 + 7.05386i 0.304397 + 0.304397i
\(538\) −8.60809 8.60809i −0.371121 0.371121i
\(539\) 13.3924 + 3.58848i 0.576852 + 0.154567i
\(540\) −21.3729 37.0190i −0.919745 1.59304i
\(541\) 3.11154 + 11.6124i 0.133776 + 0.499257i 1.00000 0.000397941i \(-0.000126669\pi\)
−0.866224 + 0.499655i \(0.833460\pi\)
\(542\) 6.29435 + 3.63405i 0.270366 + 0.156096i
\(543\) −8.58274 −0.368321
\(544\) −66.8828 + 6.82745i −2.86758 + 0.292724i
\(545\) 18.1792 31.4873i 0.778711 1.34877i
\(546\) 8.66953 + 5.00536i 0.371022 + 0.214209i
\(547\) 15.9856 + 4.28332i 0.683494 + 0.183142i 0.583826 0.811879i \(-0.301555\pi\)
0.0996685 + 0.995021i \(0.468222\pi\)
\(548\) 27.2149 1.16256
\(549\) 13.4758 + 3.61084i 0.575135 + 0.154107i
\(550\) −74.3674 + 19.9267i −3.17104 + 0.849677i
\(551\) −41.6140 41.6140i −1.77282 1.77282i
\(552\) 2.22069 + 1.28212i 0.0945190 + 0.0545706i
\(553\) 3.16462 1.82709i 0.134573 0.0776959i
\(554\) −7.46703 + 27.8673i −0.317244 + 1.18397i
\(555\) 9.79902 + 9.79902i 0.415945 + 0.415945i
\(556\) 54.1507 + 14.5096i 2.29650 + 0.615346i
\(557\) −11.5188 −0.488069 −0.244034 0.969767i \(-0.578471\pi\)
−0.244034 + 0.969767i \(0.578471\pi\)
\(558\) 33.3806 33.3806i 1.41311 1.41311i
\(559\) 27.2051 + 16.5161i 1.15065 + 0.698557i
\(560\) −81.8249 −3.45773
\(561\) 5.51349 3.98064i 0.232780 0.168063i
\(562\) 20.7464 + 35.9339i 0.875136 + 1.51578i
\(563\) 1.57633i 0.0664344i −0.999448 0.0332172i \(-0.989425\pi\)
0.999448 0.0332172i \(-0.0105753\pi\)
\(564\) 3.34620 + 0.896611i 0.140900 + 0.0377542i
\(565\) −14.7113 25.4807i −0.618908 1.07198i
\(566\) 8.00288 + 29.8672i 0.336386 + 1.25541i
\(567\) −10.0804 10.0804i −0.423335 0.423335i
\(568\) 30.1995 8.09193i 1.26714 0.339530i
\(569\) 31.7979 18.3585i 1.33304 0.769630i 0.347274 0.937764i \(-0.387107\pi\)
0.985764 + 0.168134i \(0.0537742\pi\)
\(570\) 22.8170i 0.955700i
\(571\) −5.84447 + 21.8119i −0.244583 + 0.912798i 0.729009 + 0.684504i \(0.239981\pi\)
−0.973592 + 0.228294i \(0.926685\pi\)
\(572\) −98.3216 + 26.3452i −4.11103 + 1.10155i
\(573\) 1.83725 + 6.85672i 0.0767523 + 0.286444i
\(574\) −14.6422 + 25.3611i −0.611156 + 1.05855i
\(575\) −3.71378 + 3.71378i −0.154875 + 0.154875i
\(576\) 46.1513 + 26.6455i 1.92297 + 1.11023i
\(577\) −8.05926 + 13.9591i −0.335512 + 0.581123i −0.983583 0.180457i \(-0.942242\pi\)
0.648071 + 0.761580i \(0.275576\pi\)
\(578\) 9.20156 + 44.6004i 0.382735 + 1.85513i
\(579\) 1.51219 + 2.61919i 0.0628445 + 0.108850i
\(580\) 176.039i 7.30964i
\(581\) 7.55004 7.55004i 0.313229 0.313229i
\(582\) −5.29759 9.17570i −0.219592 0.380345i
\(583\) −39.0055 10.4515i −1.61544 0.432857i
\(584\) 48.8866 13.0991i 2.02294 0.542046i
\(585\) 46.2072 12.3812i 1.91043 0.511899i
\(586\) 33.5729i 1.38688i
\(587\) −21.4501 12.3842i −0.885341 0.511152i −0.0129255 0.999916i \(-0.504114\pi\)
−0.872416 + 0.488764i \(0.837448\pi\)
\(588\) −6.96357 + 1.86588i −0.287173 + 0.0769477i
\(589\) 36.1386 9.68332i 1.48907 0.398994i
\(590\) −115.547 30.9609i −4.75701 1.27464i
\(591\) −4.23967 −0.174397
\(592\) −117.629 31.5186i −4.83453 1.29541i
\(593\) −5.04495 2.91270i −0.207171 0.119610i 0.392825 0.919613i \(-0.371498\pi\)
−0.599996 + 0.800003i \(0.704831\pi\)
\(594\) −25.7771 −1.05765
\(595\) 2.75435 + 26.9821i 0.112917 + 1.10616i
\(596\) −53.4250 92.5348i −2.18837 3.79037i
\(597\) 1.49109 0.860881i 0.0610263 0.0352335i
\(598\) −6.80723 + 6.80723i −0.278368 + 0.278368i
\(599\) −0.553525 0.958733i −0.0226164 0.0391728i 0.854496 0.519458i \(-0.173866\pi\)
−0.877112 + 0.480286i \(0.840533\pi\)
\(600\) 17.3693 17.3693i 0.709101 0.709101i
\(601\) 29.6040 + 29.6040i 1.20757 + 1.20757i 0.971811 + 0.235763i \(0.0757589\pi\)
0.235763 + 0.971811i \(0.424241\pi\)
\(602\) 32.2777 7.89127i 1.31554 0.321624i
\(603\) 5.90669i 0.240539i
\(604\) 40.6284i 1.65315i
\(605\) −4.87659 + 18.1997i −0.198262 + 0.739923i
\(606\) 4.14252 + 4.14252i 0.168278 + 0.168278i
\(607\) −18.2387 4.88705i −0.740287 0.198359i −0.131082 0.991372i \(-0.541845\pi\)
−0.609206 + 0.793012i \(0.708512\pi\)
\(608\) 49.0590 + 84.9727i 1.98961 + 3.44610i
\(609\) 1.94903 + 7.27387i 0.0789786 + 0.294752i
\(610\) 45.8537i 1.85656i
\(611\) −3.99017 + 6.91118i −0.161425 + 0.279596i
\(612\) 24.7677 55.1844i 1.00118 2.23070i
\(613\) −3.37853 −0.136457 −0.0682287 0.997670i \(-0.521735\pi\)
−0.0682287 + 0.997670i \(0.521735\pi\)
\(614\) 13.7868 7.95983i 0.556391 0.321233i
\(615\) −2.11724 7.90164i −0.0853753 0.318625i
\(616\) −32.6052 + 56.4738i −1.31370 + 2.27540i
\(617\) 5.02017 + 18.7355i 0.202104 + 0.754264i 0.990313 + 0.138855i \(0.0443423\pi\)
−0.788208 + 0.615409i \(0.788991\pi\)
\(618\) −7.17962 7.17962i −0.288807 0.288807i
\(619\) 41.8628 11.2171i 1.68261 0.450853i 0.714142 0.700001i \(-0.246817\pi\)
0.968465 + 0.249148i \(0.0801505\pi\)
\(620\) 96.9200 + 55.9568i 3.89240 + 2.24728i
\(621\) −1.52285 + 0.879219i −0.0611099 + 0.0352818i
\(622\) 6.80519 25.3973i 0.272863 1.01834i
\(623\) 1.49220 + 1.49220i 0.0597836 + 0.0597836i
\(624\) 17.3764 17.3764i 0.695612 0.695612i
\(625\) −5.07674 8.79317i −0.203070 0.351727i
\(626\) 57.8025 + 15.4881i 2.31025 + 0.619030i
\(627\) −8.59492 4.96228i −0.343248 0.198174i
\(628\) 30.6402 53.0703i 1.22268 2.11774i
\(629\) −6.43381 + 39.8496i −0.256533 + 1.58891i
\(630\) 24.9725 43.2536i 0.994927 1.72326i
\(631\) −4.73917 2.73616i −0.188663 0.108925i 0.402693 0.915335i \(-0.368074\pi\)
−0.591357 + 0.806410i \(0.701407\pi\)
\(632\) −4.25378 15.8753i −0.169206 0.631486i
\(633\) −2.24152 3.88242i −0.0890924 0.154312i
\(634\) −21.3518 + 21.3518i −0.847987 + 0.847987i
\(635\) −6.94549 + 25.9209i −0.275623 + 1.02864i
\(636\) 20.2815 5.43440i 0.804212 0.215488i
\(637\) 16.6074i 0.658009i
\(638\) −91.9350 53.0787i −3.63974 2.10141i
\(639\) −2.69575 + 10.0607i −0.106642 + 0.397994i
\(640\) −15.9808 + 59.6412i −0.631697 + 2.35753i
\(641\) −8.47202 + 8.47202i −0.334625 + 0.334625i −0.854340 0.519715i \(-0.826038\pi\)
0.519715 + 0.854340i \(0.326038\pi\)
\(642\) 4.74103 + 8.21171i 0.187114 + 0.324090i
\(643\) −5.65742 + 5.65742i −0.223107 + 0.223107i −0.809805 0.586699i \(-0.800427\pi\)
0.586699 + 0.809805i \(0.300427\pi\)
\(644\) 7.24974i 0.285680i
\(645\) −4.81692 + 7.93436i −0.189666 + 0.312415i
\(646\) 53.8855 38.9043i 2.12010 1.53067i
\(647\) −7.77129 −0.305521 −0.152761 0.988263i \(-0.548816\pi\)
−0.152761 + 0.988263i \(0.548816\pi\)
\(648\) −55.5276 + 32.0589i −2.18133 + 1.25939i
\(649\) −36.7921 + 36.7921i −1.44421 + 1.44421i
\(650\) 46.1101 + 79.8650i 1.80859 + 3.13256i
\(651\) −4.62423 1.23906i −0.181238 0.0485625i
\(652\) 24.6365 6.60132i 0.964838 0.258528i
\(653\) 11.4540 + 11.4540i 0.448231 + 0.448231i 0.894766 0.446535i \(-0.147342\pi\)
−0.446535 + 0.894766i \(0.647342\pi\)
\(654\) 9.87300 + 5.70018i 0.386065 + 0.222895i
\(655\) −17.0594 + 9.84926i −0.666567 + 0.384843i
\(656\) 50.8314 + 50.8314i 1.98463 + 1.98463i
\(657\) −4.36385 + 16.2861i −0.170250 + 0.635381i
\(658\) 2.15647 + 8.04805i 0.0840679 + 0.313746i
\(659\) 18.0199 31.2114i 0.701957 1.21583i −0.265821 0.964022i \(-0.585643\pi\)
0.967778 0.251803i \(-0.0810235\pi\)
\(660\) −7.68357 28.6755i −0.299082 1.11619i
\(661\) 7.31010i 0.284330i −0.989843 0.142165i \(-0.954594\pi\)
0.989843 0.142165i \(-0.0454064\pi\)
\(662\) −6.49467 + 11.2491i −0.252422 + 0.437208i
\(663\) −6.31484 5.14501i −0.245248 0.199816i
\(664\) −24.0117 41.5894i −0.931833 1.61398i
\(665\) 34.2800 19.7915i 1.32932 0.767483i
\(666\) 52.5608 52.5608i 2.03669 2.03669i
\(667\) −7.24173 −0.280401
\(668\) −106.597 28.5626i −4.12436 1.10512i
\(669\) 0.0840344 0.313621i 0.00324896 0.0121253i
\(670\) 18.7521 5.02461i 0.724456 0.194118i
\(671\) 17.2726 + 9.97233i 0.666800 + 0.384977i
\(672\) 12.5550i 0.484319i
\(673\) −26.1058 + 6.99502i −1.00630 + 0.269638i −0.724084 0.689712i \(-0.757737\pi\)
−0.282220 + 0.959350i \(0.591071\pi\)
\(674\) −41.9369 + 11.2370i −1.61535 + 0.432831i
\(675\) 4.35977 + 16.2709i 0.167808 + 0.626266i
\(676\) 27.3184 + 47.3169i 1.05071 + 1.81988i
\(677\) 8.99828 8.99828i 0.345832 0.345832i −0.512723 0.858554i \(-0.671363\pi\)
0.858554 + 0.512723i \(0.171363\pi\)
\(678\) 7.98959 4.61279i 0.306839 0.177153i
\(679\) 9.19029 15.9180i 0.352691 0.610879i
\(680\) 120.428 + 19.4433i 4.61819 + 0.745618i
\(681\) 0.852943 1.47734i 0.0326848 0.0566118i
\(682\) 58.4459 33.7438i 2.23801 1.29212i
\(683\) −9.81257 2.62927i −0.375467 0.100606i 0.0661499 0.997810i \(-0.478928\pi\)
−0.441617 + 0.897204i \(0.645595\pi\)
\(684\) −88.2774 −3.37537
\(685\) −17.6614 4.73236i −0.674807 0.180814i
\(686\) −37.3423 37.3423i −1.42574 1.42574i
\(687\) −2.82657 2.82657i −0.107840 0.107840i
\(688\) 1.79616 81.5478i 0.0684780 3.10898i
\(689\) 48.3692i 1.84272i
\(690\) −1.98533 1.98533i −0.0755801 0.0755801i
\(691\) 6.31409 23.5645i 0.240199 0.896436i −0.735536 0.677485i \(-0.763070\pi\)
0.975736 0.218951i \(-0.0702635\pi\)
\(692\) 55.7879 55.7879i 2.12074 2.12074i
\(693\) −10.8621 18.8137i −0.412617 0.714673i
\(694\) −24.4224 6.54396i −0.927062 0.248406i
\(695\) −32.6186 18.8324i −1.23729 0.714352i
\(696\) 33.8696 1.28382
\(697\) 15.0508 18.4729i 0.570089 0.699711i
\(698\) −29.5946 51.2594i −1.12017 1.94020i
\(699\) 3.15198i 0.119219i
\(700\) 67.0821 + 17.9746i 2.53547 + 0.679376i
\(701\) 23.3117 40.3770i 0.880470 1.52502i 0.0296506 0.999560i \(-0.490561\pi\)
0.850819 0.525458i \(-0.176106\pi\)
\(702\) 7.99131 + 29.8240i 0.301612 + 1.12563i
\(703\) 56.9035 15.2472i 2.14615 0.575060i
\(704\) 53.8707 + 53.8707i 2.03033 + 2.03033i
\(705\) −2.01564 1.16373i −0.0759135 0.0438287i
\(706\) 17.4205 + 10.0577i 0.655630 + 0.378528i
\(707\) −2.63043 + 9.81689i −0.0989274 + 0.369202i
\(708\) 7.00227 26.1328i 0.263161 0.982131i
\(709\) 4.58875 4.58875i 0.172334 0.172334i −0.615670 0.788004i \(-0.711115\pi\)
0.788004 + 0.615670i \(0.211115\pi\)
\(710\) −34.2330 −1.28474
\(711\) 5.28870 + 1.41710i 0.198342 + 0.0531456i
\(712\) 8.21977 4.74569i 0.308049 0.177852i
\(713\) 2.30190 3.98700i 0.0862067 0.149314i
\(714\) −8.46037 + 0.863641i −0.316621 + 0.0323209i
\(715\) 68.3880 2.55757
\(716\) 109.856 + 63.4256i 4.10552 + 2.37033i
\(717\) 1.87304 + 6.99029i 0.0699500 + 0.261057i
\(718\) −0.950087 + 1.64560i −0.0354569 + 0.0614132i
\(719\) 24.6763 + 6.61200i 0.920272 + 0.246586i 0.687702 0.725993i \(-0.258620\pi\)
0.232570 + 0.972580i \(0.425286\pi\)
\(720\) −86.6933 86.6933i −3.23087 3.23087i
\(721\) 4.55894 17.0142i 0.169784 0.633641i
\(722\) −39.9231 23.0496i −1.48578 0.857818i
\(723\) 3.47985i 0.129417i
\(724\) −105.420 + 28.2472i −3.91790 + 1.04980i
\(725\) −17.9547 + 67.0080i −0.666822 + 2.48861i
\(726\) −5.70661 1.52908i −0.211792 0.0567495i
\(727\) −37.5445 −1.39245 −0.696224 0.717825i \(-0.745138\pi\)
−0.696224 + 0.717825i \(0.745138\pi\)
\(728\) 75.4479 + 20.2162i 2.79629 + 0.749262i
\(729\) 18.4602i 0.683712i
\(730\) −55.4160 −2.05104
\(731\) −26.9512 + 2.15273i −0.996825 + 0.0796217i
\(732\) −10.3705 −0.383305
\(733\) 3.19842i 0.118136i −0.998254 0.0590681i \(-0.981187\pi\)
0.998254 0.0590681i \(-0.0188129\pi\)
\(734\) 55.9707 + 14.9973i 2.06592 + 0.553561i
\(735\) 4.84354 0.178657
\(736\) 11.6622 + 3.12488i 0.429874 + 0.115184i
\(737\) 2.18552 8.15647i 0.0805046 0.300447i
\(738\) −42.3834 + 11.3566i −1.56016 + 0.418043i
\(739\) 33.3263i 1.22593i −0.790111 0.612964i \(-0.789977\pi\)
0.790111 0.612964i \(-0.210023\pi\)
\(740\) 152.609 + 88.1090i 5.61003 + 3.23895i
\(741\) −3.07677 + 11.4826i −0.113028 + 0.421825i
\(742\) 35.7091 + 35.7091i 1.31092 + 1.31092i
\(743\) −32.5534 8.72266i −1.19427 0.320003i −0.393697 0.919240i \(-0.628804\pi\)
−0.800572 + 0.599237i \(0.795471\pi\)
\(744\) −10.7660 + 18.6472i −0.394700 + 0.683640i
\(745\) 18.5800 + 69.3415i 0.680718 + 2.54048i
\(746\) −19.3529 11.1734i −0.708560 0.409087i
\(747\) 15.9985 0.585355
\(748\) 54.6200 67.0391i 1.99711 2.45119i
\(749\) −8.22476 + 14.2457i −0.300526 + 0.520527i
\(750\) −6.87339 + 3.96835i −0.250981 + 0.144904i
\(751\) −28.5061 7.63820i −1.04020 0.278722i −0.302006 0.953306i \(-0.597656\pi\)
−0.738198 + 0.674584i \(0.764323\pi\)
\(752\) 20.4530 0.745842
\(753\) −0.264039 + 0.264039i −0.00962212 + 0.00962212i
\(754\) −32.9104 + 122.823i −1.19853 + 4.47296i
\(755\) 7.06481 26.3662i 0.257115 0.959565i
\(756\) 20.1368 + 11.6260i 0.732367 + 0.422832i
\(757\) −45.6597 26.3616i −1.65953 0.958129i −0.972932 0.231090i \(-0.925771\pi\)