Properties

Label 273.2.u.c.251.15
Level $273$
Weight $2$
Character 273.251
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 251.15
Character \(\chi\) \(=\) 273.251
Dual form 273.2.u.c.62.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.230023 + 0.398412i) q^{2} +(-0.688459 + 1.58935i) q^{3} +(0.894179 + 1.54876i) q^{4} +2.35202i q^{5} +(-0.474854 - 0.639877i) q^{6} +(1.77437 + 1.96255i) q^{7} -1.74282 q^{8} +(-2.05205 - 2.18840i) q^{9} +O(q^{10})\) \(q+(-0.230023 + 0.398412i) q^{2} +(-0.688459 + 1.58935i) q^{3} +(0.894179 + 1.54876i) q^{4} +2.35202i q^{5} +(-0.474854 - 0.639877i) q^{6} +(1.77437 + 1.96255i) q^{7} -1.74282 q^{8} +(-2.05205 - 2.18840i) q^{9} +(-0.937075 - 0.541020i) q^{10} +(1.89523 - 3.28263i) q^{11} +(-3.07713 + 0.354901i) q^{12} +(-0.259976 - 3.59617i) q^{13} +(-1.19005 + 0.255498i) q^{14} +(-3.73818 - 1.61927i) q^{15} +(-1.38747 + 2.40316i) q^{16} +(-0.112205 - 0.194344i) q^{17} +(1.34390 - 0.314178i) q^{18} +(0.495455 + 0.858154i) q^{19} +(-3.64273 + 2.10313i) q^{20} +(-4.34076 + 1.46895i) q^{21} +(0.871892 + 1.51016i) q^{22} +(5.19329 + 2.99835i) q^{23} +(1.19986 - 2.76995i) q^{24} -0.532016 q^{25} +(1.49256 + 0.723624i) q^{26} +(4.89088 - 1.75480i) q^{27} +(-1.45292 + 4.50295i) q^{28} +(-3.01682 - 1.74176i) q^{29} +(1.50501 - 1.11687i) q^{30} -8.13560 q^{31} +(-2.38112 - 4.12422i) q^{32} +(3.91245 + 5.27212i) q^{33} +0.103239 q^{34} +(-4.61597 + 4.17336i) q^{35} +(1.55441 - 5.13496i) q^{36} +(5.67975 + 3.27921i) q^{37} -0.455865 q^{38} +(5.89454 + 2.06262i) q^{39} -4.09916i q^{40} +(1.81328 + 1.04690i) q^{41} +(0.413226 - 2.06730i) q^{42} +(-0.647431 - 1.12138i) q^{43} +6.77868 q^{44} +(5.14717 - 4.82647i) q^{45} +(-2.38916 + 1.37938i) q^{46} -7.64729i q^{47} +(-2.86425 - 3.85965i) q^{48} +(-0.703223 + 6.96459i) q^{49} +(0.122376 - 0.211962i) q^{50} +(0.386129 - 0.0445343i) q^{51} +(5.33714 - 3.61826i) q^{52} +7.19458i q^{53} +(-0.425883 + 2.35223i) q^{54} +(7.72082 + 4.45762i) q^{55} +(-3.09241 - 3.42038i) q^{56} +(-1.70500 + 0.196647i) q^{57} +(1.38788 - 0.801293i) q^{58} +(6.86061 - 3.96098i) q^{59} +(-0.834737 - 7.23748i) q^{60} +(-1.77043 + 1.02216i) q^{61} +(1.87138 - 3.24132i) q^{62} +(0.653753 - 7.91028i) q^{63} -3.35902 q^{64} +(8.45827 - 0.611471i) q^{65} +(-3.00043 + 0.346056i) q^{66} +(9.58594 + 5.53444i) q^{67} +(0.200662 - 0.347557i) q^{68} +(-8.34078 + 6.18970i) q^{69} +(-0.600936 - 2.79903i) q^{70} +(-5.36792 - 9.29750i) q^{71} +(3.57635 + 3.81399i) q^{72} +1.05464 q^{73} +(-2.61295 + 1.50859i) q^{74} +(0.366271 - 0.845558i) q^{75} +(-0.886051 + 1.53469i) q^{76} +(9.80516 - 2.10512i) q^{77} +(-2.17765 + 1.87401i) q^{78} -8.02255 q^{79} +(-5.65230 - 3.26336i) q^{80} +(-0.578184 + 8.98141i) q^{81} +(-0.834193 + 0.481621i) q^{82} -8.85334i q^{83} +(-6.15647 - 5.40930i) q^{84} +(0.457103 - 0.263908i) q^{85} +0.595696 q^{86} +(4.84523 - 3.59565i) q^{87} +(-3.30304 + 5.72103i) q^{88} +(8.09262 + 4.67228i) q^{89} +(0.738955 + 3.16089i) q^{90} +(6.59637 - 6.89115i) q^{91} +10.7242i q^{92} +(5.60103 - 12.9303i) q^{93} +(3.04677 + 1.75906i) q^{94} +(-2.01840 + 1.16532i) q^{95} +(8.19412 - 0.945072i) q^{96} +(-1.92049 - 3.32639i) q^{97} +(-2.61302 - 1.88219i) q^{98} +(-11.0728 + 2.58860i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 40 q^{4} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 40 q^{4} - 6 q^{9} + 18 q^{15} - 32 q^{16} + 24 q^{22} - 80 q^{25} + 12 q^{28} + 20 q^{30} + 50 q^{36} - 36 q^{37} - 60 q^{39} + 48 q^{43} - 84 q^{46} - 16 q^{49} + 52 q^{51} - 48 q^{58} - 36 q^{63} + 176 q^{64} + 60 q^{67} - 66 q^{72} + 166 q^{78} - 104 q^{79} - 30 q^{81} + 60 q^{84} + 132 q^{85} - 8 q^{91} - 162 q^{93}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.230023 + 0.398412i −0.162651 + 0.281720i −0.935819 0.352482i \(-0.885338\pi\)
0.773168 + 0.634202i \(0.218671\pi\)
\(3\) −0.688459 + 1.58935i −0.397482 + 0.917610i
\(4\) 0.894179 + 1.54876i 0.447089 + 0.774381i
\(5\) 2.35202i 1.05186i 0.850529 + 0.525929i \(0.176282\pi\)
−0.850529 + 0.525929i \(0.823718\pi\)
\(6\) −0.474854 0.639877i −0.193858 0.261229i
\(7\) 1.77437 + 1.96255i 0.670649 + 0.741775i
\(8\) −1.74282 −0.616180
\(9\) −2.05205 2.18840i −0.684017 0.729466i
\(10\) −0.937075 0.541020i −0.296329 0.171086i
\(11\) 1.89523 3.28263i 0.571432 0.989749i −0.424987 0.905199i \(-0.639721\pi\)
0.996419 0.0845500i \(-0.0269453\pi\)
\(12\) −3.07713 + 0.354901i −0.888290 + 0.102451i
\(13\) −0.259976 3.59617i −0.0721045 0.997397i
\(14\) −1.19005 + 0.255498i −0.318054 + 0.0682846i
\(15\) −3.73818 1.61927i −0.965195 0.418094i
\(16\) −1.38747 + 2.40316i −0.346867 + 0.600791i
\(17\) −0.112205 0.194344i −0.0272137 0.0471355i 0.852098 0.523383i \(-0.175330\pi\)
−0.879311 + 0.476247i \(0.841997\pi\)
\(18\) 1.34390 0.314178i 0.316761 0.0740526i
\(19\) 0.495455 + 0.858154i 0.113665 + 0.196874i 0.917245 0.398323i \(-0.130408\pi\)
−0.803580 + 0.595197i \(0.797074\pi\)
\(20\) −3.64273 + 2.10313i −0.814538 + 0.470274i
\(21\) −4.34076 + 1.46895i −0.947231 + 0.320552i
\(22\) 0.871892 + 1.51016i 0.185888 + 0.321967i
\(23\) 5.19329 + 2.99835i 1.08288 + 0.625199i 0.931671 0.363304i \(-0.118351\pi\)
0.151205 + 0.988502i \(0.451685\pi\)
\(24\) 1.19986 2.76995i 0.244920 0.565413i
\(25\) −0.532016 −0.106403
\(26\) 1.49256 + 0.723624i 0.292714 + 0.141914i
\(27\) 4.89088 1.75480i 0.941250 0.337711i
\(28\) −1.45292 + 4.50295i −0.274577 + 0.850978i
\(29\) −3.01682 1.74176i −0.560210 0.323438i 0.193020 0.981195i \(-0.438172\pi\)
−0.753230 + 0.657757i \(0.771505\pi\)
\(30\) 1.50501 1.11687i 0.274775 0.203911i
\(31\) −8.13560 −1.46120 −0.730599 0.682807i \(-0.760759\pi\)
−0.730599 + 0.682807i \(0.760759\pi\)
\(32\) −2.38112 4.12422i −0.420927 0.729066i
\(33\) 3.91245 + 5.27212i 0.681070 + 0.917759i
\(34\) 0.103239 0.0177053
\(35\) −4.61597 + 4.17336i −0.780241 + 0.705427i
\(36\) 1.55441 5.13496i 0.259069 0.855826i
\(37\) 5.67975 + 3.27921i 0.933746 + 0.539098i 0.887994 0.459855i \(-0.152098\pi\)
0.0457513 + 0.998953i \(0.485432\pi\)
\(38\) −0.455865 −0.0739511
\(39\) 5.89454 + 2.06262i 0.943882 + 0.330283i
\(40\) 4.09916i 0.648133i
\(41\) 1.81328 + 1.04690i 0.283187 + 0.163498i 0.634865 0.772623i \(-0.281056\pi\)
−0.351679 + 0.936121i \(0.614389\pi\)
\(42\) 0.413226 2.06730i 0.0637622 0.318992i
\(43\) −0.647431 1.12138i −0.0987322 0.171009i 0.812428 0.583062i \(-0.198145\pi\)
−0.911160 + 0.412052i \(0.864812\pi\)
\(44\) 6.77868 1.02192
\(45\) 5.14717 4.82647i 0.767294 0.719488i
\(46\) −2.38916 + 1.37938i −0.352262 + 0.203378i
\(47\) 7.64729i 1.11547i −0.830018 0.557736i \(-0.811670\pi\)
0.830018 0.557736i \(-0.188330\pi\)
\(48\) −2.86425 3.85965i −0.413419 0.557092i
\(49\) −0.703223 + 6.96459i −0.100460 + 0.994941i
\(50\) 0.122376 0.211962i 0.0173066 0.0299759i
\(51\) 0.386129 0.0445343i 0.0540689 0.00623605i
\(52\) 5.33714 3.61826i 0.740129 0.501762i
\(53\) 7.19458i 0.988252i 0.869390 + 0.494126i \(0.164512\pi\)
−0.869390 + 0.494126i \(0.835488\pi\)
\(54\) −0.425883 + 2.35223i −0.0579554 + 0.320098i
\(55\) 7.72082 + 4.45762i 1.04107 + 0.601065i
\(56\) −3.09241 3.42038i −0.413241 0.457067i
\(57\) −1.70500 + 0.196647i −0.225833 + 0.0260466i
\(58\) 1.38788 0.801293i 0.182238 0.105215i
\(59\) 6.86061 3.96098i 0.893176 0.515675i 0.0181958 0.999834i \(-0.494208\pi\)
0.874980 + 0.484159i \(0.160874\pi\)
\(60\) −0.834737 7.23748i −0.107764 0.934354i
\(61\) −1.77043 + 1.02216i −0.226680 + 0.130874i −0.609040 0.793140i \(-0.708445\pi\)
0.382359 + 0.924014i \(0.375112\pi\)
\(62\) 1.87138 3.24132i 0.237665 0.411648i
\(63\) 0.653753 7.91028i 0.0823651 0.996602i
\(64\) −3.35902 −0.419877
\(65\) 8.45827 0.611471i 1.04912 0.0758436i
\(66\) −3.00043 + 0.346056i −0.369328 + 0.0425965i
\(67\) 9.58594 + 5.53444i 1.17111 + 0.676140i 0.953941 0.299994i \(-0.0969848\pi\)
0.217168 + 0.976134i \(0.430318\pi\)
\(68\) 0.200662 0.347557i 0.0243339 0.0421475i
\(69\) −8.34078 + 6.18970i −1.00411 + 0.745153i
\(70\) −0.600936 2.79903i −0.0718256 0.334548i
\(71\) −5.36792 9.29750i −0.637054 1.10341i −0.986076 0.166296i \(-0.946819\pi\)
0.349021 0.937115i \(-0.386514\pi\)
\(72\) 3.57635 + 3.81399i 0.421477 + 0.449483i
\(73\) 1.05464 0.123437 0.0617183 0.998094i \(-0.480342\pi\)
0.0617183 + 0.998094i \(0.480342\pi\)
\(74\) −2.61295 + 1.50859i −0.303749 + 0.175370i
\(75\) 0.366271 0.845558i 0.0422933 0.0976366i
\(76\) −0.886051 + 1.53469i −0.101637 + 0.176040i
\(77\) 9.80516 2.10512i 1.11740 0.239900i
\(78\) −2.17765 + 1.87401i −0.246571 + 0.212189i
\(79\) −8.02255 −0.902608 −0.451304 0.892370i \(-0.649041\pi\)
−0.451304 + 0.892370i \(0.649041\pi\)
\(80\) −5.65230 3.26336i −0.631946 0.364854i
\(81\) −0.578184 + 8.98141i −0.0642426 + 0.997934i
\(82\) −0.834193 + 0.481621i −0.0921212 + 0.0531862i
\(83\) 8.85334i 0.971780i −0.874020 0.485890i \(-0.838495\pi\)
0.874020 0.485890i \(-0.161505\pi\)
\(84\) −6.15647 5.40930i −0.671726 0.590203i
\(85\) 0.457103 0.263908i 0.0495798 0.0286249i
\(86\) 0.595696 0.0642356
\(87\) 4.84523 3.59565i 0.519463 0.385494i
\(88\) −3.30304 + 5.72103i −0.352105 + 0.609864i
\(89\) 8.09262 + 4.67228i 0.857816 + 0.495261i 0.863280 0.504725i \(-0.168406\pi\)
−0.00546401 + 0.999985i \(0.501739\pi\)
\(90\) 0.738955 + 3.16089i 0.0778927 + 0.333187i
\(91\) 6.59637 6.89115i 0.691487 0.722388i
\(92\) 10.7242i 1.11808i
\(93\) 5.60103 12.9303i 0.580799 1.34081i
\(94\) 3.04677 + 1.75906i 0.314251 + 0.181433i
\(95\) −2.01840 + 1.16532i −0.207083 + 0.119560i
\(96\) 8.19412 0.945072i 0.836309 0.0964560i
\(97\) −1.92049 3.32639i −0.194997 0.337744i 0.751903 0.659274i \(-0.229136\pi\)
−0.946899 + 0.321530i \(0.895803\pi\)
\(98\) −2.61302 1.88219i −0.263955 0.190130i
\(99\) −11.0728 + 2.58860i −1.11286 + 0.260164i
\(100\) −0.475717 0.823966i −0.0475717 0.0823966i
\(101\) −6.18926 + 10.7201i −0.615854 + 1.06669i 0.374380 + 0.927276i \(0.377856\pi\)
−0.990234 + 0.139416i \(0.955478\pi\)
\(102\) −0.0710757 + 0.164082i −0.00703754 + 0.0162466i
\(103\) 3.71736i 0.366283i −0.983087 0.183141i \(-0.941373\pi\)
0.983087 0.183141i \(-0.0586266\pi\)
\(104\) 0.453092 + 6.26747i 0.0444294 + 0.614576i
\(105\) −3.45502 10.2096i −0.337175 0.996351i
\(106\) −2.86641 1.65492i −0.278410 0.160740i
\(107\) 14.5306 + 8.38925i 1.40473 + 0.811019i 0.994873 0.101132i \(-0.0322466\pi\)
0.409853 + 0.912151i \(0.365580\pi\)
\(108\) 7.09108 + 6.00571i 0.682340 + 0.577899i
\(109\) 9.13097i 0.874588i −0.899319 0.437294i \(-0.855937\pi\)
0.899319 0.437294i \(-0.144063\pi\)
\(110\) −3.55194 + 2.05071i −0.338664 + 0.195528i
\(111\) −9.12207 + 6.76950i −0.865829 + 0.642533i
\(112\) −7.17822 + 1.54113i −0.678278 + 0.145623i
\(113\) −17.6645 + 10.1986i −1.66174 + 0.959404i −0.689851 + 0.723952i \(0.742324\pi\)
−0.971886 + 0.235453i \(0.924343\pi\)
\(114\) 0.313844 0.724528i 0.0293942 0.0678583i
\(115\) −7.05219 + 12.2147i −0.657620 + 1.13903i
\(116\) 6.22979i 0.578422i
\(117\) −7.33636 + 7.94844i −0.678247 + 0.734834i
\(118\) 3.64447i 0.335500i
\(119\) 0.182318 0.565047i 0.0167131 0.0517978i
\(120\) 6.51498 + 2.82210i 0.594734 + 0.257621i
\(121\) −1.68376 2.91636i −0.153069 0.265124i
\(122\) 0.940481i 0.0851471i
\(123\) −2.91225 + 2.16118i −0.262589 + 0.194867i
\(124\) −7.27468 12.6001i −0.653286 1.13152i
\(125\) 10.5088i 0.939936i
\(126\) 3.00117 + 2.08001i 0.267366 + 0.185302i
\(127\) 9.42915 16.3318i 0.836702 1.44921i −0.0559355 0.998434i \(-0.517814\pi\)
0.892637 0.450776i \(-0.148853\pi\)
\(128\) 5.53489 9.58672i 0.489220 0.847354i
\(129\) 2.22800 0.256967i 0.196164 0.0226246i
\(130\) −1.70198 + 3.51053i −0.149274 + 0.307894i
\(131\) −12.9891 −1.13486 −0.567431 0.823421i \(-0.692063\pi\)
−0.567431 + 0.823421i \(0.692063\pi\)
\(132\) −4.66684 + 10.7737i −0.406196 + 0.937728i
\(133\) −0.805051 + 2.49504i −0.0698067 + 0.216347i
\(134\) −4.40998 + 2.54610i −0.380964 + 0.219950i
\(135\) 4.12733 + 11.5035i 0.355224 + 0.990060i
\(136\) 0.195553 + 0.338708i 0.0167685 + 0.0290439i
\(137\) 3.09348 + 5.35807i 0.264294 + 0.457771i 0.967378 0.253336i \(-0.0815278\pi\)
−0.703084 + 0.711106i \(0.748194\pi\)
\(138\) −0.547479 4.74684i −0.0466045 0.404078i
\(139\) 12.1887 7.03717i 1.03384 0.596885i 0.115754 0.993278i \(-0.463071\pi\)
0.918081 + 0.396393i \(0.129738\pi\)
\(140\) −10.5910 3.41731i −0.895107 0.288816i
\(141\) 12.1542 + 5.26484i 1.02357 + 0.443380i
\(142\) 4.93898 0.414470
\(143\) −12.2976 5.96214i −1.02838 0.498579i
\(144\) 8.10624 1.89508i 0.675520 0.157923i
\(145\) 4.09667 7.09564i 0.340210 0.589261i
\(146\) −0.242592 + 0.420182i −0.0200771 + 0.0347745i
\(147\) −10.5850 5.91249i −0.873037 0.487654i
\(148\) 11.7288i 0.964100i
\(149\) −4.54225 7.86740i −0.372115 0.644523i 0.617775 0.786355i \(-0.288034\pi\)
−0.989891 + 0.141832i \(0.954701\pi\)
\(150\) 0.252630 + 0.340425i 0.0206271 + 0.0277956i
\(151\) 15.9114i 1.29485i −0.762130 0.647424i \(-0.775846\pi\)
0.762130 0.647424i \(-0.224154\pi\)
\(152\) −0.863490 1.49561i −0.0700383 0.121310i
\(153\) −0.195053 + 0.644353i −0.0157691 + 0.0520929i
\(154\) −1.41671 + 4.39072i −0.114162 + 0.353814i
\(155\) 19.1351i 1.53697i
\(156\) 2.07626 + 10.9736i 0.166234 + 0.878591i
\(157\) 20.1836i 1.61082i 0.592716 + 0.805411i \(0.298056\pi\)
−0.592716 + 0.805411i \(0.701944\pi\)
\(158\) 1.84537 3.19628i 0.146810 0.254283i
\(159\) −11.4347 4.95317i −0.906830 0.392812i
\(160\) 9.70027 5.60045i 0.766873 0.442755i
\(161\) 3.33040 + 15.5123i 0.262473 + 1.22254i
\(162\) −3.44531 2.29629i −0.270689 0.180413i
\(163\) 4.43944 2.56311i 0.347724 0.200758i −0.315959 0.948773i \(-0.602326\pi\)
0.663682 + 0.748015i \(0.268993\pi\)
\(164\) 3.74445i 0.292392i
\(165\) −12.4002 + 9.20218i −0.965351 + 0.716388i
\(166\) 3.52728 + 2.03647i 0.273770 + 0.158061i
\(167\) −8.25075 4.76358i −0.638463 0.368617i 0.145559 0.989350i \(-0.453502\pi\)
−0.784022 + 0.620733i \(0.786835\pi\)
\(168\) 7.56516 2.56012i 0.583665 0.197518i
\(169\) −12.8648 + 1.86984i −0.989602 + 0.143834i
\(170\) 0.242820i 0.0186235i
\(171\) 0.861284 2.84523i 0.0658641 0.217580i
\(172\) 1.15784 2.00543i 0.0882843 0.152913i
\(173\) 2.96590 + 5.13709i 0.225493 + 0.390566i 0.956467 0.291840i \(-0.0942674\pi\)
−0.730974 + 0.682405i \(0.760934\pi\)
\(174\) 0.318035 + 2.75748i 0.0241102 + 0.209044i
\(175\) −0.943993 1.04411i −0.0713592 0.0789272i
\(176\) 5.25913 + 9.10908i 0.396422 + 0.686623i
\(177\) 1.57212 + 13.6309i 0.118168 + 1.02456i
\(178\) −3.72298 + 2.14947i −0.279049 + 0.161109i
\(179\) 12.2143 + 7.05191i 0.912937 + 0.527084i 0.881375 0.472418i \(-0.156619\pi\)
0.0315618 + 0.999502i \(0.489952\pi\)
\(180\) 12.0775 + 3.65602i 0.900207 + 0.272503i
\(181\) 18.8153i 1.39853i −0.714861 0.699267i \(-0.753510\pi\)
0.714861 0.699267i \(-0.246490\pi\)
\(182\) 1.22820 + 4.21320i 0.0910400 + 0.312303i
\(183\) −0.405697 3.51754i −0.0299900 0.260024i
\(184\) −9.05098 5.22558i −0.667247 0.385235i
\(185\) −7.71277 + 13.3589i −0.567054 + 0.982167i
\(186\) 3.86322 + 5.20579i 0.283265 + 0.381707i
\(187\) −0.850614 −0.0622030
\(188\) 11.8438 6.83805i 0.863801 0.498716i
\(189\) 12.1221 + 6.48494i 0.881754 + 0.471710i
\(190\) 1.07221i 0.0777860i
\(191\) −12.5467 + 7.24383i −0.907846 + 0.524145i −0.879737 0.475460i \(-0.842282\pi\)
−0.0281084 + 0.999605i \(0.508948\pi\)
\(192\) 2.31254 5.33865i 0.166894 0.385284i
\(193\) −22.6818 13.0954i −1.63267 0.942624i −0.983264 0.182184i \(-0.941683\pi\)
−0.649408 0.760440i \(-0.724983\pi\)
\(194\) 1.76703 0.126866
\(195\) −4.85133 + 13.8641i −0.347411 + 0.992829i
\(196\) −11.4153 + 5.13846i −0.815379 + 0.367033i
\(197\) 8.78580 15.2175i 0.625963 1.08420i −0.362391 0.932026i \(-0.618040\pi\)
0.988354 0.152173i \(-0.0486271\pi\)
\(198\) 1.51567 5.00697i 0.107714 0.355830i
\(199\) 0.680378 0.392816i 0.0482307 0.0278460i −0.475691 0.879613i \(-0.657802\pi\)
0.523921 + 0.851767i \(0.324469\pi\)
\(200\) 0.927208 0.0655635
\(201\) −15.3957 + 11.4252i −1.08593 + 0.805868i
\(202\) −2.84735 4.93175i −0.200339 0.346997i
\(203\) −1.93466 9.01121i −0.135786 0.632463i
\(204\) 0.414242 + 0.558201i 0.0290027 + 0.0390819i
\(205\) −2.46233 + 4.26487i −0.171976 + 0.297872i
\(206\) 1.48104 + 0.855080i 0.103189 + 0.0595762i
\(207\) −4.09531 17.5178i −0.284644 1.21757i
\(208\) 9.00289 + 4.36480i 0.624238 + 0.302644i
\(209\) 3.75600 0.259808
\(210\) 4.86235 + 0.971918i 0.335534 + 0.0670687i
\(211\) −4.51799 + 7.82538i −0.311031 + 0.538722i −0.978586 0.205839i \(-0.934008\pi\)
0.667555 + 0.744561i \(0.267341\pi\)
\(212\) −11.1427 + 6.43324i −0.765284 + 0.441837i
\(213\) 18.4726 2.13054i 1.26572 0.145982i
\(214\) −6.68475 + 3.85944i −0.456960 + 0.263826i
\(215\) 2.63752 1.52277i 0.179877 0.103852i
\(216\) −8.52392 + 3.05830i −0.579980 + 0.208091i
\(217\) −14.4356 15.9665i −0.979951 1.08388i
\(218\) 3.63789 + 2.10034i 0.246389 + 0.142253i
\(219\) −0.726078 + 1.67619i −0.0490638 + 0.113267i
\(220\) 15.9436i 1.07492i
\(221\) −0.669724 + 0.454032i −0.0450505 + 0.0305415i
\(222\) −0.598762 5.19149i −0.0401863 0.348430i
\(223\) 10.0659 17.4347i 0.674064 1.16751i −0.302678 0.953093i \(-0.597881\pi\)
0.976742 0.214420i \(-0.0687860\pi\)
\(224\) 3.86901 11.9910i 0.258509 0.801180i
\(225\) 1.09172 + 1.16426i 0.0727815 + 0.0776175i
\(226\) 9.38367i 0.624192i
\(227\) 16.1076 9.29975i 1.06910 0.617246i 0.141166 0.989986i \(-0.454915\pi\)
0.927936 + 0.372740i \(0.121582\pi\)
\(228\) −1.82914 2.46481i −0.121138 0.163236i
\(229\) 13.1082 0.866217 0.433108 0.901342i \(-0.357417\pi\)
0.433108 + 0.901342i \(0.357417\pi\)
\(230\) −3.24433 5.61935i −0.213925 0.370529i
\(231\) −3.40469 + 17.0331i −0.224012 + 1.12069i
\(232\) 5.25778 + 3.03558i 0.345190 + 0.199296i
\(233\) 11.6644i 0.764163i −0.924129 0.382082i \(-0.875207\pi\)
0.924129 0.382082i \(-0.124793\pi\)
\(234\) −1.47922 4.75122i −0.0966997 0.310597i
\(235\) 17.9866 1.17332
\(236\) 12.2692 + 7.08364i 0.798659 + 0.461106i
\(237\) 5.52320 12.7506i 0.358770 0.828242i
\(238\) 0.183184 + 0.202612i 0.0118741 + 0.0131334i
\(239\) 8.52575 0.551485 0.275742 0.961232i \(-0.411076\pi\)
0.275742 + 0.961232i \(0.411076\pi\)
\(240\) 9.07798 6.73678i 0.585981 0.434857i
\(241\) −4.92539 8.53103i −0.317272 0.549532i 0.662646 0.748933i \(-0.269434\pi\)
−0.979918 + 0.199401i \(0.936100\pi\)
\(242\) 1.54922 0.0995874
\(243\) −13.8765 7.10226i −0.890179 0.455610i
\(244\) −3.16616 1.82798i −0.202693 0.117025i
\(245\) −16.3809 1.65400i −1.04654 0.105670i
\(246\) −0.191157 1.65740i −0.0121877 0.105672i
\(247\) 2.95726 2.00484i 0.188166 0.127565i
\(248\) 14.1789 0.900361
\(249\) 14.0710 + 6.09516i 0.891716 + 0.386265i
\(250\) −4.18683 2.41727i −0.264799 0.152882i
\(251\) −2.43053 4.20980i −0.153414 0.265720i 0.779067 0.626941i \(-0.215693\pi\)
−0.932480 + 0.361221i \(0.882360\pi\)
\(252\) 12.8357 6.06070i 0.808575 0.381788i
\(253\) 19.6849 11.3651i 1.23758 0.714517i
\(254\) 4.33785 + 7.51337i 0.272181 + 0.471431i
\(255\) 0.104746 + 0.908185i 0.00655944 + 0.0568728i
\(256\) −0.812710 1.40765i −0.0507943 0.0879784i
\(257\) 12.4841 21.6231i 0.778736 1.34881i −0.153935 0.988081i \(-0.549195\pi\)
0.932671 0.360729i \(-0.117472\pi\)
\(258\) −0.410112 + 0.946769i −0.0255325 + 0.0589432i
\(259\) 3.64237 + 16.9653i 0.226326 + 1.05417i
\(260\) 8.51023 + 12.5531i 0.527782 + 0.778509i
\(261\) 2.37900 + 10.1762i 0.147256 + 0.629891i
\(262\) 2.98779 5.17501i 0.184587 0.319713i
\(263\) 4.44691 + 2.56742i 0.274208 + 0.158314i 0.630799 0.775947i \(-0.282727\pi\)
−0.356590 + 0.934261i \(0.616061\pi\)
\(264\) −6.81870 9.18837i −0.419662 0.565505i
\(265\) −16.9218 −1.03950
\(266\) −0.808873 0.894659i −0.0495952 0.0548551i
\(267\) −12.9973 + 9.64532i −0.795422 + 0.590284i
\(268\) 19.7951i 1.20918i
\(269\) −7.38606 12.7930i −0.450336 0.780004i 0.548071 0.836432i \(-0.315362\pi\)
−0.998407 + 0.0564275i \(0.982029\pi\)
\(270\) −5.53250 1.00169i −0.336697 0.0609608i
\(271\) −8.16316 + 14.1390i −0.495877 + 0.858884i −0.999989 0.00475467i \(-0.998487\pi\)
0.504112 + 0.863638i \(0.331820\pi\)
\(272\) 0.622722 0.0377581
\(273\) 6.41110 + 15.2282i 0.388017 + 0.921652i
\(274\) −2.84629 −0.171951
\(275\) −1.00829 + 1.74641i −0.0608022 + 0.105312i
\(276\) −17.0445 7.38319i −1.02596 0.444416i
\(277\) 9.21864 + 15.9671i 0.553894 + 0.959373i 0.997989 + 0.0633928i \(0.0201921\pi\)
−0.444095 + 0.895980i \(0.646475\pi\)
\(278\) 6.47486i 0.388336i
\(279\) 16.6947 + 17.8040i 0.999483 + 1.06589i
\(280\) 8.04481 7.27342i 0.480769 0.434670i
\(281\) −0.680410 −0.0405899 −0.0202949 0.999794i \(-0.506461\pi\)
−0.0202949 + 0.999794i \(0.506461\pi\)
\(282\) −4.89333 + 3.63135i −0.291393 + 0.216243i
\(283\) −11.9377 6.89223i −0.709622 0.409701i 0.101299 0.994856i \(-0.467700\pi\)
−0.810921 + 0.585155i \(0.801034\pi\)
\(284\) 9.59975 16.6273i 0.569640 0.986646i
\(285\) −0.462519 4.01021i −0.0273973 0.237544i
\(286\) 5.20412 3.52808i 0.307726 0.208619i
\(287\) 1.16284 + 5.41624i 0.0686401 + 0.319710i
\(288\) −4.13927 + 13.6740i −0.243909 + 0.805745i
\(289\) 8.47482 14.6788i 0.498519 0.863460i
\(290\) 1.88466 + 3.26433i 0.110671 + 0.191688i
\(291\) 6.60897 0.762248i 0.387425 0.0446838i
\(292\) 0.943039 + 1.63339i 0.0551872 + 0.0955870i
\(293\) 2.79809 1.61548i 0.163466 0.0943771i −0.416035 0.909348i \(-0.636581\pi\)
0.579501 + 0.814971i \(0.303247\pi\)
\(294\) 4.79041 2.85718i 0.279382 0.166634i
\(295\) 9.31631 + 16.1363i 0.542417 + 0.939493i
\(296\) −9.89879 5.71507i −0.575355 0.332182i
\(297\) 3.50897 19.3807i 0.203611 1.12458i
\(298\) 4.17929 0.242100
\(299\) 9.43242 19.4554i 0.545491 1.12514i
\(300\) 1.63708 0.188813i 0.0945169 0.0109011i
\(301\) 1.05199 3.26036i 0.0606357 0.187924i
\(302\) 6.33928 + 3.65998i 0.364785 + 0.210608i
\(303\) −12.7769 17.2172i −0.734016 0.989104i
\(304\) −2.74971 −0.157707
\(305\) −2.40414 4.16409i −0.137661 0.238435i
\(306\) −0.211851 0.225928i −0.0121107 0.0129154i
\(307\) 21.1154 1.20512 0.602559 0.798074i \(-0.294148\pi\)
0.602559 + 0.798074i \(0.294148\pi\)
\(308\) 12.0279 + 13.3035i 0.685353 + 0.758038i
\(309\) 5.90818 + 2.55925i 0.336105 + 0.145591i
\(310\) 7.62367 + 4.40153i 0.432995 + 0.249990i
\(311\) −18.4685 −1.04725 −0.523627 0.851948i \(-0.675421\pi\)
−0.523627 + 0.851948i \(0.675421\pi\)
\(312\) −10.2731 3.59477i −0.581601 0.203514i
\(313\) 25.4208i 1.43687i 0.695595 + 0.718434i \(0.255141\pi\)
−0.695595 + 0.718434i \(0.744859\pi\)
\(314\) −8.04137 4.64269i −0.453801 0.262002i
\(315\) 18.6052 + 1.53764i 1.04828 + 0.0866363i
\(316\) −7.17360 12.4250i −0.403546 0.698963i
\(317\) −24.4218 −1.37167 −0.685833 0.727759i \(-0.740562\pi\)
−0.685833 + 0.727759i \(0.740562\pi\)
\(318\) 4.60365 3.41637i 0.258160 0.191581i
\(319\) −11.4351 + 6.60207i −0.640244 + 0.369645i
\(320\) 7.90049i 0.441651i
\(321\) −23.3371 + 17.3185i −1.30255 + 0.966626i
\(322\) −6.94635 2.24131i −0.387105 0.124903i
\(323\) 0.111185 0.192578i 0.00618650 0.0107153i
\(324\) −14.4271 + 7.13551i −0.801504 + 0.396417i
\(325\) 0.138312 + 1.91322i 0.00767215 + 0.106126i
\(326\) 2.35830i 0.130614i
\(327\) 14.5123 + 6.28629i 0.802531 + 0.347633i
\(328\) −3.16022 1.82455i −0.174494 0.100744i
\(329\) 15.0082 13.5691i 0.827430 0.748090i
\(330\) −0.813932 7.05709i −0.0448055 0.388480i
\(331\) −11.3311 + 6.54203i −0.622815 + 0.359583i −0.777964 0.628309i \(-0.783748\pi\)
0.155149 + 0.987891i \(0.450414\pi\)
\(332\) 13.7117 7.91647i 0.752529 0.434473i
\(333\) −4.47892 19.1587i −0.245443 1.04989i
\(334\) 3.79573 2.19147i 0.207693 0.119912i
\(335\) −13.0171 + 22.5464i −0.711203 + 1.23184i
\(336\) 2.49252 12.4697i 0.135978 0.680277i
\(337\) −12.6677 −0.690053 −0.345027 0.938593i \(-0.612130\pi\)
−0.345027 + 0.938593i \(0.612130\pi\)
\(338\) 2.21424 5.55561i 0.120439 0.302185i
\(339\) −4.04785 35.0963i −0.219849 1.90617i
\(340\) 0.817463 + 0.471962i 0.0443332 + 0.0255958i
\(341\) −15.4188 + 26.7062i −0.834975 + 1.44622i
\(342\) 0.935458 + 0.997615i 0.0505838 + 0.0539448i
\(343\) −14.9161 + 10.9776i −0.805396 + 0.592737i
\(344\) 1.12836 + 1.95437i 0.0608368 + 0.105373i
\(345\) −14.5583 19.6177i −0.783794 1.05618i
\(346\) −2.72890 −0.146707
\(347\) −0.557421 + 0.321827i −0.0299239 + 0.0172766i −0.514887 0.857258i \(-0.672166\pi\)
0.484963 + 0.874534i \(0.338833\pi\)
\(348\) 9.90131 + 4.28895i 0.530766 + 0.229912i
\(349\) 2.81297 4.87221i 0.150575 0.260803i −0.780864 0.624701i \(-0.785221\pi\)
0.931439 + 0.363898i \(0.118554\pi\)
\(350\) 0.633126 0.135929i 0.0338420 0.00726570i
\(351\) −7.58206 17.1322i −0.404700 0.914449i
\(352\) −18.0510 −0.962124
\(353\) 13.2511 + 7.65053i 0.705285 + 0.407197i 0.809313 0.587378i \(-0.199840\pi\)
−0.104028 + 0.994574i \(0.533173\pi\)
\(354\) −5.79233 2.50906i −0.307859 0.133355i
\(355\) 21.8679 12.6255i 1.16063 0.670090i
\(356\) 16.7114i 0.885703i
\(357\) 0.772537 + 0.678778i 0.0408870 + 0.0359248i
\(358\) −5.61913 + 3.24421i −0.296980 + 0.171462i
\(359\) −35.6728 −1.88274 −0.941368 0.337380i \(-0.890459\pi\)
−0.941368 + 0.337380i \(0.890459\pi\)
\(360\) −8.97059 + 8.41167i −0.472792 + 0.443334i
\(361\) 9.00905 15.6041i 0.474160 0.821270i
\(362\) 7.49626 + 4.32797i 0.393995 + 0.227473i
\(363\) 5.79431 0.668288i 0.304122 0.0350760i
\(364\) 16.5711 + 4.05430i 0.868561 + 0.212503i
\(365\) 2.48055i 0.129838i
\(366\) 1.49475 + 0.647482i 0.0781319 + 0.0338444i
\(367\) −9.30509 5.37229i −0.485722 0.280431i 0.237076 0.971491i \(-0.423811\pi\)
−0.722798 + 0.691060i \(0.757144\pi\)
\(368\) −14.4110 + 8.32022i −0.751228 + 0.433722i
\(369\) −1.42991 6.11646i −0.0744381 0.318410i
\(370\) −3.54823 6.14572i −0.184464 0.319501i
\(371\) −14.1197 + 12.7659i −0.733061 + 0.662770i
\(372\) 25.0343 2.88734i 1.29797 0.149701i
\(373\) 2.09900 + 3.63557i 0.108682 + 0.188243i 0.915237 0.402917i \(-0.132004\pi\)
−0.806555 + 0.591160i \(0.798670\pi\)
\(374\) 0.195661 0.338895i 0.0101174 0.0175238i
\(375\) −16.7021 7.23488i −0.862495 0.373607i
\(376\) 13.3279i 0.687332i
\(377\) −5.47937 + 11.3018i −0.282202 + 0.582073i
\(378\) −5.37205 + 3.33791i −0.276308 + 0.171683i
\(379\) 9.29657 + 5.36738i 0.477533 + 0.275704i 0.719388 0.694609i \(-0.244422\pi\)
−0.241855 + 0.970312i \(0.577756\pi\)
\(380\) −3.60962 2.08401i −0.185169 0.106908i
\(381\) 19.4653 + 26.2299i 0.997236 + 1.34380i
\(382\) 6.66500i 0.341011i
\(383\) −31.0766 + 17.9421i −1.58794 + 0.916798i −0.594294 + 0.804248i \(0.702568\pi\)
−0.993646 + 0.112549i \(0.964098\pi\)
\(384\) 11.4261 + 15.3969i 0.583085 + 0.785721i
\(385\) 4.95128 + 23.0620i 0.252341 + 1.17535i
\(386\) 10.4347 6.02447i 0.531112 0.306638i
\(387\) −1.12547 + 3.71797i −0.0572110 + 0.188995i
\(388\) 3.43453 5.94878i 0.174362 0.302003i
\(389\) 20.6088i 1.04491i 0.852668 + 0.522454i \(0.174983\pi\)
−0.852668 + 0.522454i \(0.825017\pi\)
\(390\) −4.40771 5.12189i −0.223193 0.259357i
\(391\) 1.34572i 0.0680558i
\(392\) 1.22559 12.1380i 0.0619017 0.613063i
\(393\) 8.94245 20.6442i 0.451087 1.04136i
\(394\) 4.04188 + 7.00074i 0.203627 + 0.352692i
\(395\) 18.8692i 0.949414i
\(396\) −13.9102 14.8345i −0.699013 0.745460i
\(397\) 10.1975 + 17.6625i 0.511796 + 0.886457i 0.999906 + 0.0136748i \(0.00435296\pi\)
−0.488111 + 0.872782i \(0.662314\pi\)
\(398\) 0.361427i 0.0181167i
\(399\) −3.41124 2.99724i −0.170776 0.150049i
\(400\) 0.738155 1.27852i 0.0369077 0.0639261i
\(401\) −10.1356 + 17.5554i −0.506149 + 0.876675i 0.493826 + 0.869561i \(0.335598\pi\)
−0.999975 + 0.00711434i \(0.997735\pi\)
\(402\) −1.01055 8.76187i −0.0504018 0.437003i
\(403\) 2.11507 + 29.2570i 0.105359 + 1.45739i
\(404\) −22.1372 −1.10137
\(405\) −21.1245 1.35990i −1.04968 0.0675741i
\(406\) 4.03519 + 1.30200i 0.200263 + 0.0646170i
\(407\) 21.5288 12.4297i 1.06714 0.616116i
\(408\) −0.672954 + 0.0776154i −0.0333162 + 0.00384253i
\(409\) −1.23396 2.13729i −0.0610156 0.105682i 0.833904 0.551909i \(-0.186101\pi\)
−0.894920 + 0.446227i \(0.852767\pi\)
\(410\) −1.13278 1.96204i −0.0559442 0.0968983i
\(411\) −10.6456 + 1.22781i −0.525107 + 0.0605634i
\(412\) 5.75731 3.32399i 0.283642 0.163761i
\(413\) 19.9469 + 6.43607i 0.981522 + 0.316698i
\(414\) 7.92130 + 2.39787i 0.389311 + 0.117849i
\(415\) 20.8233 1.02217
\(416\) −14.2124 + 9.63511i −0.696818 + 0.472400i
\(417\) 2.79307 + 24.2169i 0.136777 + 1.18591i
\(418\) −0.863967 + 1.49644i −0.0422580 + 0.0731930i
\(419\) 13.9311 24.1294i 0.680580 1.17880i −0.294224 0.955736i \(-0.595061\pi\)
0.974804 0.223062i \(-0.0716054\pi\)
\(420\) 12.7228 14.4802i 0.620809 0.706560i
\(421\) 10.7361i 0.523244i 0.965170 + 0.261622i \(0.0842574\pi\)
−0.965170 + 0.261622i \(0.915743\pi\)
\(422\) −2.07848 3.60004i −0.101179 0.175247i
\(423\) −16.7353 + 15.6926i −0.813700 + 0.763002i
\(424\) 12.5389i 0.608941i
\(425\) 0.0596947 + 0.103394i 0.00289562 + 0.00501536i
\(426\) −3.40028 + 7.84976i −0.164744 + 0.380322i
\(427\) −5.14744 1.66087i −0.249102 0.0803753i
\(428\) 30.0059i 1.45039i
\(429\) 17.9423 15.4405i 0.866262 0.745472i
\(430\) 1.40109i 0.0675667i
\(431\) −6.94810 + 12.0345i −0.334678 + 0.579680i −0.983423 0.181326i \(-0.941961\pi\)
0.648745 + 0.761006i \(0.275294\pi\)
\(432\) −2.56887 + 14.1883i −0.123595 + 0.682635i
\(433\) −12.0000 + 6.92818i −0.576681 + 0.332947i −0.759813 0.650141i \(-0.774710\pi\)
0.183132 + 0.983088i \(0.441376\pi\)
\(434\) 9.68178 2.07863i 0.464740 0.0997773i
\(435\) 8.45705 + 11.3961i 0.405485 + 0.546401i
\(436\) 14.1417 8.16472i 0.677265 0.391019i
\(437\) 5.94219i 0.284253i
\(438\) −0.500801 0.674842i −0.0239292 0.0322452i
\(439\) −30.1089 17.3834i −1.43702 0.829664i −0.439378 0.898302i \(-0.644801\pi\)
−0.997642 + 0.0686384i \(0.978135\pi\)
\(440\) −13.4560 7.76883i −0.641490 0.370364i
\(441\) 16.6843 12.7527i 0.794493 0.607274i
\(442\) −0.0268397 0.371264i −0.00127663 0.0176592i
\(443\) 28.7921i 1.36796i −0.729502 0.683978i \(-0.760248\pi\)
0.729502 0.683978i \(-0.239752\pi\)
\(444\) −18.6411 8.07478i −0.884668 0.383212i
\(445\) −10.9893 + 19.0340i −0.520943 + 0.902300i
\(446\) 4.63079 + 8.02076i 0.219274 + 0.379794i
\(447\) 15.6312 1.80283i 0.739330 0.0852708i
\(448\) −5.96014 6.59225i −0.281590 0.311454i
\(449\) −10.4960 18.1797i −0.495339 0.857952i 0.504647 0.863326i \(-0.331623\pi\)
−0.999986 + 0.00537424i \(0.998289\pi\)
\(450\) −0.714978 + 0.167148i −0.0337044 + 0.00787943i
\(451\) 6.87314 3.96821i 0.323644 0.186856i
\(452\) −31.5904 18.2387i −1.48589 0.857879i
\(453\) 25.2887 + 10.9543i 1.18817 + 0.514679i
\(454\) 8.55664i 0.401583i
\(455\) 16.2081 + 15.5148i 0.759849 + 0.727346i
\(456\) 2.97152 0.342721i 0.139154 0.0160494i
\(457\) −13.4844 7.78524i −0.630775 0.364178i 0.150277 0.988644i \(-0.451983\pi\)
−0.781052 + 0.624466i \(0.785317\pi\)
\(458\) −3.01520 + 5.22248i −0.140891 + 0.244031i
\(459\) −0.889815 0.753618i −0.0415330 0.0351759i
\(460\) −25.2237 −1.17606
\(461\) 9.70023 5.60043i 0.451785 0.260838i −0.256799 0.966465i \(-0.582668\pi\)
0.708584 + 0.705627i \(0.249334\pi\)
\(462\) −6.00303 5.27447i −0.279286 0.245391i
\(463\) 3.98299i 0.185105i 0.995708 + 0.0925527i \(0.0295027\pi\)
−0.995708 + 0.0925527i \(0.970497\pi\)
\(464\) 8.37149 4.83328i 0.388637 0.224380i
\(465\) 30.4124 + 13.1737i 1.41034 + 0.610918i
\(466\) 4.64726 + 2.68309i 0.215280 + 0.124292i
\(467\) 6.52375 0.301883 0.150942 0.988543i \(-0.451769\pi\)
0.150942 + 0.988543i \(0.451769\pi\)
\(468\) −18.8703 4.25496i −0.872279 0.196685i
\(469\) 6.14737 + 28.6331i 0.283859 + 1.32215i
\(470\) −4.13734 + 7.16608i −0.190841 + 0.330547i
\(471\) −32.0787 13.8955i −1.47811 0.640273i
\(472\) −11.9568 + 6.90327i −0.550357 + 0.317749i
\(473\) −4.90811 −0.225675
\(474\) 3.80954 + 5.13345i 0.174978 + 0.235787i
\(475\) −0.263590 0.456551i −0.0120943 0.0209480i
\(476\) 1.03815 0.222885i 0.0475835 0.0102159i
\(477\) 15.7446 14.7636i 0.720897 0.675981i
\(478\) −1.96112 + 3.39676i −0.0896996 + 0.155364i
\(479\) 20.1576 + 11.6380i 0.921023 + 0.531753i 0.883961 0.467560i \(-0.154867\pi\)
0.0370614 + 0.999313i \(0.488200\pi\)
\(480\) 2.22283 + 19.2728i 0.101458 + 0.879678i
\(481\) 10.3160 21.2779i 0.470368 0.970186i
\(482\) 4.53182 0.206419
\(483\) −26.9473 5.38639i −1.22614 0.245089i
\(484\) 3.01117 5.21549i 0.136871 0.237068i
\(485\) 7.82375 4.51705i 0.355258 0.205108i
\(486\) 6.02155 3.89489i 0.273143 0.176676i
\(487\) −3.92467 + 2.26591i −0.177844 + 0.102678i −0.586279 0.810109i \(-0.699408\pi\)
0.408435 + 0.912787i \(0.366075\pi\)
\(488\) 3.08554 1.78144i 0.139676 0.0806419i
\(489\) 1.01730 + 8.82040i 0.0460041 + 0.398872i
\(490\) 4.42695 6.14588i 0.199989 0.277643i
\(491\) 1.54789 + 0.893673i 0.0698551 + 0.0403309i 0.534521 0.845155i \(-0.320492\pi\)
−0.464666 + 0.885486i \(0.653825\pi\)
\(492\) −5.95123 2.57790i −0.268302 0.116221i
\(493\) 0.781738i 0.0352077i
\(494\) 0.118514 + 1.63937i 0.00533220 + 0.0737586i
\(495\) −6.08846 26.0435i −0.273656 1.17057i
\(496\) 11.2879 19.5512i 0.506841 0.877875i
\(497\) 8.72217 27.0320i 0.391243 1.21255i
\(498\) −5.66505 + 4.20404i −0.253857 + 0.188388i
\(499\) 4.39239i 0.196630i 0.995155 + 0.0983151i \(0.0313453\pi\)
−0.995155 + 0.0983151i \(0.968655\pi\)
\(500\) −16.2756 + 9.39675i −0.727869 + 0.420235i
\(501\) 13.2513 9.83379i 0.592023 0.439341i
\(502\) 2.23631 0.0998115
\(503\) 17.0936 + 29.6071i 0.762168 + 1.32011i 0.941731 + 0.336367i \(0.109198\pi\)
−0.179563 + 0.983746i \(0.557468\pi\)
\(504\) −1.13937 + 13.7862i −0.0507517 + 0.614087i
\(505\) −25.2140 14.5573i −1.12201 0.647791i
\(506\) 10.4569i 0.464868i
\(507\) 5.88508 21.7340i 0.261365 0.965240i
\(508\) 33.7254 1.49632
\(509\) −6.70134 3.86902i −0.297032 0.171491i 0.344077 0.938941i \(-0.388192\pi\)
−0.641109 + 0.767450i \(0.721525\pi\)
\(510\) −0.385926 0.167172i −0.0170891 0.00740249i
\(511\) 1.87133 + 2.06979i 0.0827826 + 0.0915622i
\(512\) 22.8873 1.01149
\(513\) 3.92910 + 3.32770i 0.173474 + 0.146922i
\(514\) 5.74326 + 9.94762i 0.253324 + 0.438771i
\(515\) 8.74332 0.385277
\(516\) 2.39021 + 3.22086i 0.105223 + 0.141791i
\(517\) −25.1032 14.4933i −1.10404 0.637417i
\(518\) −7.59702 2.45126i −0.333794 0.107702i
\(519\) −10.2065 + 1.17717i −0.448016 + 0.0516721i
\(520\) −14.7412 + 1.06568i −0.646446 + 0.0467333i
\(521\) 16.4592 0.721092 0.360546 0.932741i \(-0.382590\pi\)
0.360546 + 0.932741i \(0.382590\pi\)
\(522\) −4.60155 1.39294i −0.201404 0.0609674i
\(523\) 31.5959 + 18.2419i 1.38159 + 0.797663i 0.992348 0.123472i \(-0.0394029\pi\)
0.389244 + 0.921135i \(0.372736\pi\)
\(524\) −11.6146 20.1170i −0.507385 0.878816i
\(525\) 2.30935 0.781507i 0.100788 0.0341078i
\(526\) −2.04579 + 1.18113i −0.0892005 + 0.0514999i
\(527\) 0.912854 + 1.58111i 0.0397645 + 0.0688742i
\(528\) −18.0982 + 2.08736i −0.787622 + 0.0908407i
\(529\) 6.48018 + 11.2240i 0.281747 + 0.488000i
\(530\) 3.89242 6.74186i 0.169076 0.292848i
\(531\) −22.7465 6.88564i −0.987115 0.298811i
\(532\) −4.58408 + 0.984178i −0.198745 + 0.0426695i
\(533\) 3.29341 6.79302i 0.142653 0.294238i
\(534\) −0.853128 7.39693i −0.0369184 0.320097i
\(535\) −19.7317 + 34.1763i −0.853076 + 1.47757i
\(536\) −16.7066 9.64554i −0.721614 0.416624i
\(537\) −19.6169 + 14.5578i −0.846533 + 0.628214i
\(538\) 6.79586 0.292990
\(539\) 21.5294 + 15.5079i 0.927336 + 0.667972i
\(540\) −14.1256 + 16.6784i −0.607868 + 0.717724i
\(541\) 5.50520i 0.236687i −0.992973 0.118344i \(-0.962242\pi\)
0.992973 0.118344i \(-0.0377584\pi\)
\(542\) −3.75543 6.50460i −0.161310 0.279397i
\(543\) 29.9041 + 12.9536i 1.28331 + 0.555891i
\(544\) −0.534346 + 0.925515i −0.0229099 + 0.0396811i
\(545\) 21.4763 0.919942
\(546\) −7.54180 0.948580i −0.322759 0.0405955i
\(547\) 2.43948 0.104304 0.0521522 0.998639i \(-0.483392\pi\)
0.0521522 + 0.998639i \(0.483392\pi\)
\(548\) −5.53225 + 9.58214i −0.236326 + 0.409329i
\(549\) 5.86990 + 1.77689i 0.250521 + 0.0758357i
\(550\) −0.463860 0.803430i −0.0197791 0.0342584i
\(551\) 3.45187i 0.147054i
\(552\) 14.5365 10.7875i 0.618714 0.459148i
\(553\) −14.2350 15.7447i −0.605333 0.669532i
\(554\) −8.48200 −0.360366
\(555\) −15.9220 21.4553i −0.675852 0.910728i
\(556\) 21.7978 + 12.5850i 0.924434 + 0.533722i
\(557\) −18.3528 + 31.7879i −0.777632 + 1.34690i 0.155671 + 0.987809i \(0.450246\pi\)
−0.933303 + 0.359089i \(0.883087\pi\)
\(558\) −10.9335 + 2.55603i −0.462851 + 0.108205i
\(559\) −3.86436 + 2.61980i −0.163445 + 0.110806i
\(560\) −3.62476 16.8833i −0.153174 0.713451i
\(561\) 0.585612 1.35192i 0.0247246 0.0570781i
\(562\) 0.156510 0.271084i 0.00660198 0.0114350i
\(563\) −5.26528 9.11974i −0.221905 0.384351i 0.733481 0.679710i \(-0.237894\pi\)
−0.955386 + 0.295359i \(0.904561\pi\)
\(564\) 2.71404 + 23.5317i 0.114282 + 0.990863i
\(565\) −23.9874 41.5473i −1.00916 1.74791i
\(566\) 5.49190 3.17075i 0.230842 0.133276i
\(567\) −18.6524 + 14.8016i −0.783327 + 0.621610i
\(568\) 9.35532 + 16.2039i 0.392540 + 0.679900i
\(569\) 9.38052 + 5.41585i 0.393252 + 0.227044i 0.683568 0.729887i \(-0.260427\pi\)
−0.290316 + 0.956931i \(0.593761\pi\)
\(570\) 1.70411 + 0.738169i 0.0713772 + 0.0309185i
\(571\) −19.3339 −0.809098 −0.404549 0.914516i \(-0.632572\pi\)
−0.404549 + 0.914516i \(0.632572\pi\)
\(572\) −1.76230 24.3773i −0.0736853 1.01926i
\(573\) −2.87509 24.9281i −0.120109 1.04139i
\(574\) −2.42537 0.782572i −0.101233 0.0326639i
\(575\) −2.76291 1.59517i −0.115221 0.0665231i
\(576\) 6.89287 + 7.35087i 0.287203 + 0.306286i
\(577\) 5.49588 0.228796 0.114398 0.993435i \(-0.463506\pi\)
0.114398 + 0.993435i \(0.463506\pi\)
\(578\) 3.89881 + 6.75294i 0.162169 + 0.280885i
\(579\) 36.4286 27.0337i 1.51392 1.12348i
\(580\) 14.6526 0.608417
\(581\) 17.3751 15.7091i 0.720842 0.651723i
\(582\) −1.21653 + 2.80843i −0.0504267 + 0.116413i
\(583\) 23.6171 + 13.6354i 0.978122 + 0.564719i
\(584\) −1.83805 −0.0760592
\(585\) −18.6949 17.2553i −0.772940 0.713419i
\(586\) 1.48639i 0.0614021i
\(587\) −2.85249 1.64688i −0.117735 0.0679742i 0.439976 0.898009i \(-0.354987\pi\)
−0.557711 + 0.830035i \(0.688320\pi\)
\(588\) −0.307837 21.6805i −0.0126950 0.894088i
\(589\) −4.03083 6.98160i −0.166087 0.287672i
\(590\) −8.57188 −0.352899
\(591\) 18.1372 + 24.4403i 0.746063 + 1.00534i
\(592\) −15.7609 + 9.09959i −0.647771 + 0.373991i
\(593\) 43.9998i 1.80686i −0.428740 0.903428i \(-0.641042\pi\)
0.428740 0.903428i \(-0.358958\pi\)
\(594\) 6.91435 + 5.85602i 0.283699 + 0.240275i
\(595\) 1.32900 + 0.428817i 0.0544838 + 0.0175798i
\(596\) 8.12316 14.0697i 0.332738 0.576318i
\(597\) 0.155910 + 1.35179i 0.00638096 + 0.0553252i
\(598\) 5.58160 + 8.23320i 0.228249 + 0.336680i
\(599\) 37.9227i 1.54948i −0.632281 0.774739i \(-0.717881\pi\)
0.632281 0.774739i \(-0.282119\pi\)
\(600\) −0.638344 + 1.47366i −0.0260603 + 0.0601618i
\(601\) 29.5468 + 17.0589i 1.20524 + 0.695846i 0.961716 0.274049i \(-0.0883631\pi\)
0.243524 + 0.969895i \(0.421696\pi\)
\(602\) 1.05699 + 1.16909i 0.0430795 + 0.0476484i
\(603\) −7.55925 32.3348i −0.307836 1.31678i
\(604\) 24.6429 14.2276i 1.00271 0.578913i
\(605\) 6.85935 3.96025i 0.278872 0.161007i
\(606\) 9.79855 1.13012i 0.398039 0.0459079i
\(607\) 35.8778 20.7141i 1.45624 0.840759i 0.457413 0.889254i \(-0.348776\pi\)
0.998823 + 0.0484954i \(0.0154426\pi\)
\(608\) 2.35948 4.08674i 0.0956895 0.165739i
\(609\) 15.6539 + 3.12900i 0.634327 + 0.126793i
\(610\) 2.21203 0.0895626
\(611\) −27.5009 + 1.98812i −1.11257 + 0.0804306i
\(612\) −1.17236 + 0.274076i −0.0473900 + 0.0110788i
\(613\) 3.76362 + 2.17293i 0.152011 + 0.0877636i 0.574076 0.818802i \(-0.305361\pi\)
−0.422065 + 0.906566i \(0.638695\pi\)
\(614\) −4.85703 + 8.41262i −0.196014 + 0.339506i
\(615\) −5.08316 6.84968i −0.204973 0.276206i
\(616\) −17.0886 + 3.66884i −0.688521 + 0.147822i
\(617\) 9.10939 + 15.7779i 0.366730 + 0.635195i 0.989052 0.147566i \(-0.0471439\pi\)
−0.622322 + 0.782761i \(0.713811\pi\)
\(618\) −2.37865 + 1.76520i −0.0956835 + 0.0710069i
\(619\) −27.0696 −1.08802 −0.544009 0.839079i \(-0.683094\pi\)
−0.544009 + 0.839079i \(0.683094\pi\)
\(620\) 29.6358 17.1102i 1.19020 0.687163i
\(621\) 30.6612 + 5.55138i 1.23039 + 0.222769i
\(622\) 4.24819 7.35808i 0.170337 0.295032i
\(623\) 5.18972 + 24.1725i 0.207922 + 0.968453i
\(624\) −13.1353 + 11.3037i −0.525833 + 0.452512i
\(625\) −27.3770 −1.09508
\(626\) −10.1280 5.84738i −0.404794 0.233708i
\(627\) −2.58585 + 5.96959i −0.103269 + 0.238402i
\(628\) −31.2595 + 18.0477i −1.24739 + 0.720182i
\(629\) 1.47177i 0.0586834i
\(630\) −4.89224 + 7.05883i −0.194911 + 0.281231i
\(631\) 26.5893 15.3513i 1.05850 0.611128i 0.133486 0.991051i \(-0.457383\pi\)
0.925018 + 0.379923i \(0.124050\pi\)
\(632\) 13.9819 0.556169
\(633\) −9.32681 12.5681i −0.370707 0.499537i
\(634\) 5.61758 9.72994i 0.223103 0.386425i
\(635\) 38.4127 + 22.1776i 1.52436 + 0.880091i
\(636\) −2.55337 22.1386i −0.101248 0.877854i
\(637\) 25.2286 + 0.718277i 0.999595 + 0.0284592i
\(638\) 6.07452i 0.240493i
\(639\) −9.33142 + 30.8261i −0.369145 + 1.21946i
\(640\) 22.5482 + 13.0182i 0.891295 + 0.514590i
\(641\) 13.6801 7.89820i 0.540331 0.311960i −0.204882 0.978787i \(-0.565681\pi\)
0.745213 + 0.666827i \(0.232348\pi\)
\(642\) −1.53182 13.2815i −0.0604562 0.524177i
\(643\) 2.03677 + 3.52779i 0.0803225 + 0.139123i 0.903388 0.428823i \(-0.141072\pi\)
−0.823066 + 0.567946i \(0.807738\pi\)
\(644\) −21.0469 + 19.0288i −0.829363 + 0.749838i
\(645\) 0.604392 + 5.24030i 0.0237979 + 0.206337i
\(646\) 0.0511503 + 0.0885948i 0.00201248 + 0.00348572i
\(647\) −4.46688 + 7.73687i −0.175611 + 0.304168i −0.940373 0.340146i \(-0.889524\pi\)
0.764761 + 0.644314i \(0.222857\pi\)
\(648\) 1.00767 15.6530i 0.0395850 0.614907i
\(649\) 30.0278i 1.17869i
\(650\) −0.794064 0.384980i −0.0311457 0.0151001i
\(651\) 35.3147 11.9508i 1.38409 0.468390i
\(652\) 7.93930 + 4.58376i 0.310927 + 0.179514i
\(653\) 1.14833 + 0.662991i 0.0449378 + 0.0259448i 0.522301 0.852761i \(-0.325074\pi\)
−0.477363 + 0.878706i \(0.658407\pi\)
\(654\) −5.84270 + 4.33587i −0.228468 + 0.169546i
\(655\) 30.5507i 1.19371i
\(656\) −5.03173 + 2.90507i −0.196456 + 0.113424i
\(657\) −2.16418 2.30798i −0.0844327 0.0900429i
\(658\) 1.95387 + 9.10067i 0.0761696 + 0.354781i
\(659\) −6.38195 + 3.68462i −0.248605 + 0.143532i −0.619125 0.785292i \(-0.712513\pi\)
0.370520 + 0.928824i \(0.379179\pi\)
\(660\) −25.3399 10.9765i −0.986356 0.427260i
\(661\) −0.786536 + 1.36232i −0.0305927 + 0.0529881i −0.880916 0.473272i \(-0.843073\pi\)
0.850324 + 0.526260i \(0.176406\pi\)
\(662\) 6.01928i 0.233946i
\(663\) −0.260537 1.37701i −0.0101184 0.0534785i
\(664\) 15.4298i 0.598792i
\(665\) −5.86839 1.89350i −0.227566 0.0734267i
\(666\) 8.66330 + 2.62248i 0.335696 + 0.101619i
\(667\) −10.4448 18.0910i −0.404426 0.700486i
\(668\) 17.0379i 0.659218i
\(669\) 20.7798 + 28.0013i 0.803393 + 1.08259i
\(670\) −5.98849 10.3724i −0.231356 0.400720i
\(671\) 7.74888i 0.299142i
\(672\) 16.3942 + 14.4045i 0.632418 + 0.555665i
\(673\) −14.4046 + 24.9496i −0.555258 + 0.961735i 0.442625 + 0.896707i \(0.354047\pi\)
−0.997883 + 0.0650286i \(0.979286\pi\)
\(674\) 2.91386 5.04696i 0.112238 0.194402i
\(675\) −2.60202 + 0.933580i −0.100152 + 0.0359335i
\(676\) −14.3994 18.2526i −0.553822 0.702023i
\(677\) −21.6929 −0.833725 −0.416862 0.908970i \(-0.636870\pi\)
−0.416862 + 0.908970i \(0.636870\pi\)
\(678\) 14.9139 + 6.46027i 0.572765 + 0.248105i
\(679\) 3.12055 9.67132i 0.119756 0.371151i
\(680\) −0.796648 + 0.459945i −0.0305501 + 0.0176381i
\(681\) 3.69109 + 32.0031i 0.141443 + 1.22636i
\(682\) −7.09337 12.2861i −0.271619 0.470458i
\(683\) −14.5351 25.1755i −0.556168 0.963312i −0.997812 0.0661211i \(-0.978938\pi\)
0.441643 0.897191i \(-0.354396\pi\)
\(684\) 5.17673 1.21022i 0.197937 0.0462738i
\(685\) −12.6023 + 7.27594i −0.481509 + 0.277999i
\(686\) −0.942565 8.46788i −0.0359873 0.323305i
\(687\) −9.02448 + 20.8335i −0.344305 + 0.794849i
\(688\) 3.59316 0.136988
\(689\) 25.8729 1.87042i 0.985680 0.0712574i
\(690\) 11.1647 1.28768i 0.425032 0.0490213i
\(691\) −12.9355 + 22.4049i −0.492090 + 0.852324i −0.999959 0.00911016i \(-0.997100\pi\)
0.507869 + 0.861434i \(0.330433\pi\)
\(692\) −5.30409 + 9.18695i −0.201631 + 0.349235i
\(693\) −24.7275 17.1378i −0.939320 0.651011i
\(694\) 0.296111i 0.0112402i
\(695\) 16.5516 + 28.6682i 0.627838 + 1.08745i
\(696\) −8.44436 + 6.26657i −0.320083 + 0.237534i
\(697\) 0.469867i 0.0177975i
\(698\) 1.29410 + 2.24144i 0.0489823 + 0.0848399i
\(699\) 18.5389 + 8.03049i 0.701204 + 0.303741i
\(700\) 0.772979 2.39564i 0.0292158 0.0905467i
\(701\) 5.11584i 0.193223i −0.995322 0.0966113i \(-0.969200\pi\)
0.995322 0.0966113i \(-0.0308004\pi\)
\(702\) 8.56973 + 0.920023i 0.323443 + 0.0347240i
\(703\) 6.49880i 0.245107i
\(704\) −6.36610 + 11.0264i −0.239931 + 0.415573i
\(705\) −12.3830 + 28.5870i −0.466372 + 1.07665i
\(706\) −6.09612 + 3.51960i −0.229431 + 0.132462i
\(707\) −32.0208 + 6.87470i −1.20427 + 0.258550i
\(708\) −19.7052 + 14.6233i −0.740568 + 0.549576i
\(709\) −12.3564 + 7.13397i −0.464054 + 0.267922i −0.713748 0.700403i \(-0.753004\pi\)
0.249693 + 0.968325i \(0.419670\pi\)
\(710\) 11.6166i 0.435963i
\(711\) 16.4627 + 17.5566i 0.617399 + 0.658422i
\(712\) −14.1040 8.14294i −0.528570 0.305170i
\(713\) −42.2506 24.3934i −1.58230 0.913539i
\(714\) −0.448135 + 0.151653i −0.0167710 + 0.00567548i
\(715\) 14.0231 28.9242i 0.524434 1.08170i
\(716\) 25.2227i 0.942615i
\(717\) −5.86962 + 13.5504i −0.219205 + 0.506048i
\(718\) 8.20557 14.2125i 0.306229 0.530404i
\(719\) 23.4338 + 40.5885i 0.873932 + 1.51369i 0.857896 + 0.513823i \(0.171771\pi\)
0.0160360 + 0.999871i \(0.494895\pi\)
\(720\) 4.45727 + 19.0661i 0.166113 + 0.710550i
\(721\) 7.29552 6.59598i 0.271699 0.245647i
\(722\) 4.14458 + 7.17863i 0.154245 + 0.267161i
\(723\) 16.9497 1.95490i 0.630366 0.0727034i
\(724\) 29.1405 16.8243i 1.08300 0.625269i
\(725\) 1.60500 + 0.926646i 0.0596082 + 0.0344148i
\(726\) −1.06657 + 2.46224i −0.0395842 + 0.0913824i
\(727\) 17.6742i 0.655498i 0.944765 + 0.327749i \(0.106290\pi\)
−0.944765 + 0.327749i \(0.893710\pi\)
\(728\) −11.4963 + 12.0100i −0.426081 + 0.445121i
\(729\) 20.8414 17.1650i 0.771903 0.635741i
\(730\) −0.988279 0.570583i −0.0365779 0.0211182i
\(731\) −0.145290 + 0.251649i −0.00537373 + 0.00930758i
\(732\) 5.08507 3.77364i 0.187950 0.139478i
\(733\) 4.65518 0.171943 0.0859714 0.996298i \(-0.472601\pi\)
0.0859714 + 0.996298i \(0.472601\pi\)
\(734\) 4.28077 2.47151i 0.158006 0.0912249i
\(735\) 13.9063 24.8962i 0.512943 0.918310i
\(736\) 28.5577i 1.05265i
\(737\) 36.3350 20.9780i 1.33842 0.772736i
\(738\) 2.76578 + 0.837236i 0.101810 + 0.0308191i
\(739\) 11.8187 + 6.82354i 0.434759 + 0.251008i 0.701372 0.712796i \(-0.252571\pi\)
−0.266613 + 0.963804i \(0.585905\pi\)
\(740\) −27.5864 −1.01410
\(741\) 1.15044 + 6.08036i 0.0422624 + 0.223368i
\(742\) −1.83820 8.56192i −0.0674824 0.314318i
\(743\) 1.06718 1.84841i 0.0391511 0.0678118i −0.845786 0.533523i \(-0.820868\pi\)
0.884937 + 0.465711i \(0.154201\pi\)
\(744\) −9.76158 + 22.5352i −0.357877 + 0.826180i
\(745\) 18.5043 10.6835i 0.677946 0.391412i
\(746\) −1.93127 −0.0707089
\(747\) −19.3746 + 18.1675i −0.708881 + 0.664714i
\(748\) −0.760601 1.31740i −0.0278103 0.0481689i
\(749\) 9.31833 + 43.4027i 0.340484 + 1.58590i
\(750\) 6.72434 4.99014i 0.245538 0.182214i
\(751\) −11.8515 + 20.5273i −0.432466 + 0.749053i −0.997085 0.0762988i \(-0.975690\pi\)
0.564619 + 0.825352i \(0.309023\pi\)
\(752\) 18.3777 + 10.6104i 0.670166 + 0.386921i
\(753\) 8.36415 0.964682i 0.304806 0.0351550i
\(754\) −3.24240 4.78273i −0.118081 0.174177i
\(755\) 37.4239 1.36200
\(756\) 0.795691 + 24.5730i 0.0289390 + 0.893710i
\(757\) −21.5472 + 37.3209i −0.783147 + 1.35645i 0.146953 + 0.989143i \(0.453053\pi\)
−0.930100 + 0.367306i \(0.880280\pi\)
\(758\) −4.27686 + 2.46924i −0.155342 + 0.0896870i
\(759\) 4.51083 + 39.1106i 0.163733 + 1.41962i
\(760\) 3.51771 2.03095i 0.127601 0.0736702i
\(761\) 13.4926 7.78996i 0.489107 0.282386i −0.235097 0.971972i \(-0.575541\pi\)
0.724204 + 0.689586i \(0.242207\pi\)
\(762\) −14.9278 + 1.72170i −0.540777 + 0.0623707i
\(763\) 17.9200 16.2017i 0.648748 0.586542i
\(764\) −22.4379 12.9546i −0.811776 0.468679i
\(765\) −1.51553 0.458770i −0.0547943 0.0165869i
\(766\) 16.5084i 0.596472i
\(767\) −16.0279 23.6421i −0.578735 0.853668i
\(768\) 2.79677 0.322566i 0.100920 0.0116396i
\(769\) −9.20985 + 15.9519i −0.332116 + 0.575241i −0.982926 0.183999i \(-0.941096\pi\)
0.650811 + 0.759240i \(0.274429\pi\)
\(770\) −10.3271 3.33214i −0.372162 0.120082i
\(771\) 25.7718 + 34.7281i 0.928149 + 1.25070i
\(772\) 46.8383i 1.68575i
\(773\) −18.5377 + 10.7027i −0.666754 + 0.384951i −0.794846 0.606812i \(-0.792448\pi\)
0.128091 + 0.991762i \(0.459115\pi\)
\(774\) −1.22240 1.30362i −0.0439382