Properties

Label 552.2.t.a.451.8
Level $552$
Weight $2$
Character 552.451
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 451.8
Character \(\chi\) \(=\) 552.451
Dual form 552.2.t.a.235.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.620217 - 1.27096i) q^{2} +(0.654861 + 0.755750i) q^{3} +(-1.23066 + 1.57654i) q^{4} +(0.514647 + 3.57945i) q^{5} +(0.554369 - 1.30103i) q^{6} +(0.174714 - 0.382571i) q^{7} +(2.76699 + 0.586321i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.620217 - 1.27096i) q^{2} +(0.654861 + 0.755750i) q^{3} +(-1.23066 + 1.57654i) q^{4} +(0.514647 + 3.57945i) q^{5} +(0.554369 - 1.30103i) q^{6} +(0.174714 - 0.382571i) q^{7} +(2.76699 + 0.586321i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(4.23013 - 2.87413i) q^{10} +(0.516403 - 1.75871i) q^{11} +(-1.99738 + 0.102341i) q^{12} +(-5.06987 + 2.31533i) q^{13} +(-0.594591 + 0.0152228i) q^{14} +(-2.36814 + 2.73298i) q^{15} +(-0.970945 - 3.88037i) q^{16} +(0.555053 - 0.863679i) q^{17} +(1.34629 - 0.433028i) q^{18} +(3.08157 + 4.79502i) q^{19} +(-6.27649 - 3.59373i) q^{20} +(0.403541 - 0.118490i) q^{21} +(-2.55552 + 0.434454i) q^{22} +(-4.11034 - 2.47085i) q^{23} +(1.36888 + 2.47511i) q^{24} +(-7.75010 + 2.27564i) q^{25} +(6.08711 + 5.00758i) q^{26} +(-0.841254 + 0.540641i) q^{27} +(0.388123 + 0.746258i) q^{28} +(-3.86352 + 6.01175i) q^{29} +(4.94226 + 1.31476i) q^{30} +(5.29576 + 4.58880i) q^{31} +(-4.32958 + 3.64070i) q^{32} +(1.66731 - 0.761437i) q^{33} +(-1.44195 - 0.169780i) q^{34} +(1.45931 + 0.428491i) q^{35} +(-1.38535 - 1.44250i) q^{36} +(-1.07805 + 7.49802i) q^{37} +(4.18302 - 6.89049i) q^{38} +(-5.06987 - 2.31533i) q^{39} +(-0.674684 + 10.2060i) q^{40} +(-1.68222 - 11.7001i) q^{41} +(-0.400879 - 0.439393i) q^{42} +(-2.37662 + 2.05935i) q^{43} +(2.13715 + 2.97850i) q^{44} -3.61625 q^{45} +(-0.591040 + 6.75653i) q^{46} +3.17246i q^{47} +(2.29675 - 3.27489i) q^{48} +(4.46819 + 5.15657i) q^{49} +(7.69898 + 8.43865i) q^{50} +(1.01621 - 0.146109i) q^{51} +(2.58909 - 10.8422i) q^{52} +(5.08685 - 11.1387i) q^{53} +(1.20889 + 0.733882i) q^{54} +(6.56096 + 0.943323i) q^{55} +(0.707741 - 0.956130i) q^{56} +(-1.60583 + 5.46896i) q^{57} +(10.0369 + 1.18177i) q^{58} +(-0.527440 - 1.15493i) q^{59} +(-1.39427 - 7.09684i) q^{60} +(7.14409 - 8.24471i) q^{61} +(2.54765 - 9.57673i) q^{62} +(0.353812 + 0.227381i) q^{63} +(7.31245 + 3.24469i) q^{64} +(-10.8968 - 16.9558i) q^{65} +(-2.00185 - 1.64683i) q^{66} +(1.57128 + 5.35128i) q^{67} +(0.678541 + 1.93796i) q^{68} +(-0.824356 - 4.72445i) q^{69} +(-0.360493 - 2.12047i) q^{70} +(1.19475 + 4.06895i) q^{71} +(-0.974137 + 2.65538i) q^{72} +(-1.18394 + 0.760875i) q^{73} +(10.1983 - 3.28024i) q^{74} +(-6.79505 - 4.36691i) q^{75} +(-11.3519 - 1.04283i) q^{76} +(-0.582606 - 0.504831i) q^{77} +(0.201734 + 7.87960i) q^{78} +(-0.967941 - 2.11949i) q^{79} +(13.3899 - 5.47246i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-13.8270 + 9.39465i) q^{82} +(15.9003 + 2.28611i) q^{83} +(-0.309818 + 0.782019i) q^{84} +(3.37715 + 1.54229i) q^{85} +(4.09137 + 1.74333i) q^{86} +(-7.07345 + 1.01701i) q^{87} +(2.46005 - 4.56354i) q^{88} +(-4.62959 + 4.01157i) q^{89} +(2.24286 + 4.59610i) q^{90} +2.34411i q^{91} +(8.95383 - 3.43933i) q^{92} +7.00729i q^{93} +(4.03207 - 1.96762i) q^{94} +(-15.5776 + 13.4980i) q^{95} +(-5.58673 - 0.887930i) q^{96} +(-8.56412 + 1.23133i) q^{97} +(3.78252 - 8.87707i) q^{98} +(1.66731 + 0.761437i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + O(q^{10}) \) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + 4q^{12} - 4q^{16} + 44q^{17} - 55q^{20} - 24q^{25} + 24q^{27} + 33q^{34} + 7q^{36} - 132q^{38} + 11q^{40} - 66q^{42} + 77q^{44} + 37q^{48} - 56q^{49} - 37q^{50} - 55q^{52} - 11q^{54} + 132q^{56} + 37q^{58} + 11q^{60} + 51q^{62} - 4q^{64} - 55q^{66} - 132q^{70} + 144q^{73} + 44q^{74} + 24q^{75} - 55q^{76} - 198q^{80} - 24q^{81} - 26q^{82} + 44q^{84} - 110q^{86} + 22q^{88} - 139q^{92} - 117q^{94} - 209q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{21}{22}\right)\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.620217 1.27096i −0.438560 0.898702i
\(3\) 0.654861 + 0.755750i 0.378084 + 0.436332i
\(4\) −1.23066 + 1.57654i −0.615331 + 0.788269i
\(5\) 0.514647 + 3.57945i 0.230157 + 1.60078i 0.697423 + 0.716660i \(0.254330\pi\)
−0.467266 + 0.884117i \(0.654761\pi\)
\(6\) 0.554369 1.30103i 0.226320 0.531143i
\(7\) 0.174714 0.382571i 0.0660357 0.144598i −0.873736 0.486400i \(-0.838310\pi\)
0.939772 + 0.341802i \(0.111037\pi\)
\(8\) 2.76699 + 0.586321i 0.978278 + 0.207296i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) 4.23013 2.87413i 1.33768 0.908879i
\(11\) 0.516403 1.75871i 0.155701 0.530270i −0.844283 0.535898i \(-0.819973\pi\)
0.999984 + 0.00562785i \(0.00179141\pi\)
\(12\) −1.99738 + 0.102341i −0.576594 + 0.0295433i
\(13\) −5.06987 + 2.31533i −1.40613 + 0.642158i −0.966652 0.256095i \(-0.917564\pi\)
−0.439478 + 0.898253i \(0.644837\pi\)
\(14\) −0.594591 + 0.0152228i −0.158911 + 0.00406845i
\(15\) −2.36814 + 2.73298i −0.611452 + 0.705653i
\(16\) −0.970945 3.88037i −0.242736 0.970092i
\(17\) 0.555053 0.863679i 0.134620 0.209473i −0.767398 0.641171i \(-0.778449\pi\)
0.902018 + 0.431698i \(0.142085\pi\)
\(18\) 1.34629 0.433028i 0.317323 0.102066i
\(19\) 3.08157 + 4.79502i 0.706961 + 1.10005i 0.990017 + 0.140949i \(0.0450153\pi\)
−0.283056 + 0.959103i \(0.591348\pi\)
\(20\) −6.27649 3.59373i −1.40347 0.803581i
\(21\) 0.403541 0.118490i 0.0880599 0.0258567i
\(22\) −2.55552 + 0.434454i −0.544839 + 0.0926260i
\(23\) −4.11034 2.47085i −0.857065 0.515208i
\(24\) 1.36888 + 2.47511i 0.279422 + 0.505230i
\(25\) −7.75010 + 2.27564i −1.55002 + 0.455127i
\(26\) 6.08711 + 5.00758i 1.19378 + 0.982067i
\(27\) −0.841254 + 0.540641i −0.161899 + 0.104046i
\(28\) 0.388123 + 0.746258i 0.0733484 + 0.141030i
\(29\) −3.86352 + 6.01175i −0.717437 + 1.11635i 0.270682 + 0.962669i \(0.412751\pi\)
−0.988120 + 0.153686i \(0.950886\pi\)
\(30\) 4.94226 + 1.31476i 0.902330 + 0.240042i
\(31\) 5.29576 + 4.58880i 0.951146 + 0.824173i 0.984520 0.175270i \(-0.0560799\pi\)
−0.0333744 + 0.999443i \(0.510625\pi\)
\(32\) −4.32958 + 3.64070i −0.765370 + 0.643591i
\(33\) 1.66731 0.761437i 0.290242 0.132549i
\(34\) −1.44195 0.169780i −0.247293 0.0291169i
\(35\) 1.45931 + 0.428491i 0.246668 + 0.0724282i
\(36\) −1.38535 1.44250i −0.230892 0.240417i
\(37\) −1.07805 + 7.49802i −0.177231 + 1.23267i 0.685904 + 0.727692i \(0.259407\pi\)
−0.863134 + 0.504974i \(0.831502\pi\)
\(38\) 4.18302 6.89049i 0.678575 1.11779i
\(39\) −5.06987 2.31533i −0.811830 0.370750i
\(40\) −0.674684 + 10.2060i −0.106677 + 1.61372i
\(41\) −1.68222 11.7001i −0.262719 1.82725i −0.512193 0.858871i \(-0.671167\pi\)
0.249474 0.968382i \(-0.419742\pi\)
\(42\) −0.400879 0.439393i −0.0618570 0.0677999i
\(43\) −2.37662 + 2.05935i −0.362431 + 0.314048i −0.816972 0.576678i \(-0.804349\pi\)
0.454541 + 0.890726i \(0.349803\pi\)
\(44\) 2.13715 + 2.97850i 0.322188 + 0.449026i
\(45\) −3.61625 −0.539079
\(46\) −0.591040 + 6.75653i −0.0871441 + 0.996196i
\(47\) 3.17246i 0.462752i 0.972864 + 0.231376i \(0.0743227\pi\)
−0.972864 + 0.231376i \(0.925677\pi\)
\(48\) 2.29675 3.27489i 0.331508 0.472690i
\(49\) 4.46819 + 5.15657i 0.638313 + 0.736652i
\(50\) 7.69898 + 8.43865i 1.08880 + 1.19341i
\(51\) 1.01621 0.146109i 0.142298 0.0204593i
\(52\) 2.58909 10.8422i 0.359042 1.50355i
\(53\) 5.08685 11.1387i 0.698733 1.53001i −0.142768 0.989756i \(-0.545600\pi\)
0.841501 0.540256i \(-0.181673\pi\)
\(54\) 1.20889 + 0.733882i 0.164509 + 0.0998687i
\(55\) 6.56096 + 0.943323i 0.884679 + 0.127198i
\(56\) 0.707741 0.956130i 0.0945759 0.127768i
\(57\) −1.60583 + 5.46896i −0.212698 + 0.724382i
\(58\) 10.0369 + 1.18177i 1.31791 + 0.155174i
\(59\) −0.527440 1.15493i −0.0686668 0.150359i 0.872187 0.489173i \(-0.162702\pi\)
−0.940853 + 0.338814i \(0.889974\pi\)
\(60\) −1.39427 7.09684i −0.179999 0.916198i
\(61\) 7.14409 8.24471i 0.914706 1.05563i −0.0835442 0.996504i \(-0.526624\pi\)
0.998251 0.0591234i \(-0.0188306\pi\)
\(62\) 2.54765 9.57673i 0.323551 1.21625i
\(63\) 0.353812 + 0.227381i 0.0445761 + 0.0286473i
\(64\) 7.31245 + 3.24469i 0.914057 + 0.405586i
\(65\) −10.8968 16.9558i −1.35158 2.10310i
\(66\) −2.00185 1.64683i −0.246411 0.202710i
\(67\) 1.57128 + 5.35128i 0.191962 + 0.653763i 0.998076 + 0.0620024i \(0.0197487\pi\)
−0.806114 + 0.591760i \(0.798433\pi\)
\(68\) 0.678541 + 1.93796i 0.0822852 + 0.235012i
\(69\) −0.824356 4.72445i −0.0992408 0.568757i
\(70\) −0.360493 2.12047i −0.0430872 0.253445i
\(71\) 1.19475 + 4.06895i 0.141791 + 0.482896i 0.999513 0.0312186i \(-0.00993880\pi\)
−0.857722 + 0.514115i \(0.828121\pi\)
\(72\) −0.974137 + 2.65538i −0.114803 + 0.312940i
\(73\) −1.18394 + 0.760875i −0.138570 + 0.0890537i −0.608089 0.793869i \(-0.708064\pi\)
0.469519 + 0.882922i \(0.344427\pi\)
\(74\) 10.1983 3.28024i 1.18553 0.381320i
\(75\) −6.79505 4.36691i −0.784624 0.504248i
\(76\) −11.3519 1.04283i −1.30215 0.119621i
\(77\) −0.582606 0.504831i −0.0663942 0.0575309i
\(78\) 0.201734 + 7.87960i 0.0228419 + 0.892189i
\(79\) −0.967941 2.11949i −0.108902 0.238462i 0.847333 0.531062i \(-0.178207\pi\)
−0.956235 + 0.292600i \(0.905480\pi\)
\(80\) 13.3899 5.47246i 1.49703 0.611840i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) −13.8270 + 9.39465i −1.52694 + 1.03747i
\(83\) 15.9003 + 2.28611i 1.74528 + 0.250934i 0.939809 0.341700i \(-0.111003\pi\)
0.805472 + 0.592634i \(0.201912\pi\)
\(84\) −0.309818 + 0.782019i −0.0338039 + 0.0853253i
\(85\) 3.37715 + 1.54229i 0.366303 + 0.167285i
\(86\) 4.09137 + 1.74333i 0.441183 + 0.187988i
\(87\) −7.07345 + 1.01701i −0.758353 + 0.109035i
\(88\) 2.46005 4.56354i 0.262242 0.486475i
\(89\) −4.62959 + 4.01157i −0.490736 + 0.425225i −0.864754 0.502196i \(-0.832525\pi\)
0.374018 + 0.927422i \(0.377980\pi\)
\(90\) 2.24286 + 4.59610i 0.236418 + 0.484472i
\(91\) 2.34411i 0.245729i
\(92\) 8.95383 3.43933i 0.933501 0.358575i
\(93\) 7.00729i 0.726622i
\(94\) 4.03207 1.96762i 0.415876 0.202944i
\(95\) −15.5776 + 13.4980i −1.59823 + 1.38487i
\(96\) −5.58673 0.887930i −0.570194 0.0906239i
\(97\) −8.56412 + 1.23133i −0.869555 + 0.125023i −0.562628 0.826710i \(-0.690210\pi\)
−0.306927 + 0.951733i \(0.599301\pi\)
\(98\) 3.78252 8.87707i 0.382093 0.896719i
\(99\) 1.66731 + 0.761437i 0.167571 + 0.0765273i
\(100\) 5.95012 15.0189i 0.595012 1.50189i
\(101\) 9.39962 + 1.35146i 0.935297 + 0.134475i 0.593078 0.805145i \(-0.297912\pi\)
0.342219 + 0.939620i \(0.388822\pi\)
\(102\) −0.815967 1.20094i −0.0807928 0.118910i
\(103\) 5.91264 + 1.73611i 0.582590 + 0.171064i 0.559730 0.828675i \(-0.310905\pi\)
0.0228596 + 0.999739i \(0.492723\pi\)
\(104\) −15.3858 + 3.43393i −1.50870 + 0.336724i
\(105\) 0.631810 + 1.38347i 0.0616584 + 0.135013i
\(106\) −17.3117 + 0.443215i −1.68146 + 0.0430488i
\(107\) 4.37985 + 3.79516i 0.423416 + 0.366892i 0.840349 0.542045i \(-0.182350\pi\)
−0.416934 + 0.908937i \(0.636895\pi\)
\(108\) 0.182957 1.99161i 0.0176051 0.191643i
\(109\) −5.61245 3.60690i −0.537575 0.345478i 0.243515 0.969897i \(-0.421700\pi\)
−0.781090 + 0.624419i \(0.785336\pi\)
\(110\) −2.87030 8.92376i −0.273672 0.850847i
\(111\) −6.37260 + 4.09542i −0.604860 + 0.388720i
\(112\) −1.65415 0.306500i −0.156303 0.0289616i
\(113\) 1.58157 + 5.38632i 0.148781 + 0.506703i 0.999831 0.0183826i \(-0.00585168\pi\)
−0.851050 + 0.525085i \(0.824033\pi\)
\(114\) 7.94678 1.35100i 0.744284 0.126533i
\(115\) 6.72890 15.9844i 0.627473 1.49055i
\(116\) −4.72307 13.4894i −0.438526 1.25246i
\(117\) −1.57025 5.34778i −0.145170 0.494402i
\(118\) −1.14074 + 1.38666i −0.105014 + 0.127653i
\(119\) −0.233443 0.363244i −0.0213996 0.0332985i
\(120\) −8.15503 + 6.17364i −0.744449 + 0.563574i
\(121\) 6.42741 + 4.13065i 0.584310 + 0.375513i
\(122\) −14.9096 3.96631i −1.34985 0.359093i
\(123\) 7.74074 8.93329i 0.697959 0.805488i
\(124\) −13.7517 + 2.70170i −1.23494 + 0.242620i
\(125\) −4.62284 10.1226i −0.413480 0.905394i
\(126\) 0.0695514 0.590706i 0.00619613 0.0526242i
\(127\) 3.02357 10.2974i 0.268299 0.913742i −0.709590 0.704615i \(-0.751120\pi\)
0.977889 0.209127i \(-0.0670622\pi\)
\(128\) −0.411451 11.3062i −0.0363675 0.999338i
\(129\) −3.11271 0.447540i −0.274059 0.0394037i
\(130\) −14.7916 + 24.3656i −1.29731 + 2.13701i
\(131\) 7.59926 16.6401i 0.663951 1.45385i −0.214843 0.976649i \(-0.568924\pi\)
0.878794 0.477201i \(-0.158349\pi\)
\(132\) −0.851465 + 3.56565i −0.0741105 + 0.310350i
\(133\) 2.37283 0.341161i 0.205750 0.0295824i
\(134\) 5.82671 5.31598i 0.503351 0.459231i
\(135\) −2.36814 2.73298i −0.203817 0.235218i
\(136\) 2.04222 2.06435i 0.175119 0.177017i
\(137\) 0.896885i 0.0766261i −0.999266 0.0383130i \(-0.987802\pi\)
0.999266 0.0383130i \(-0.0121984\pi\)
\(138\) −5.49329 + 3.97791i −0.467620 + 0.338622i
\(139\) 1.59991 0.135703 0.0678514 0.997695i \(-0.478386\pi\)
0.0678514 + 0.997695i \(0.478386\pi\)
\(140\) −2.47144 + 1.77332i −0.208875 + 0.149873i
\(141\) −2.39759 + 2.07752i −0.201913 + 0.174959i
\(142\) 4.43046 4.04211i 0.371796 0.339207i
\(143\) 1.45390 + 10.1121i 0.121581 + 0.845613i
\(144\) 3.97905 0.408828i 0.331588 0.0340690i
\(145\) −23.5071 10.7353i −1.95216 0.891520i
\(146\) 1.70134 + 1.03283i 0.140804 + 0.0854780i
\(147\) −0.971030 + 6.75367i −0.0800892 + 0.557033i
\(148\) −10.4942 10.9271i −0.862617 0.898203i
\(149\) −3.03705 0.891759i −0.248805 0.0730558i 0.154952 0.987922i \(-0.450478\pi\)
−0.403757 + 0.914866i \(0.632296\pi\)
\(150\) −1.33575 + 11.3446i −0.109064 + 0.926286i
\(151\) 5.05420 2.30818i 0.411305 0.187837i −0.199006 0.979998i \(-0.563771\pi\)
0.610312 + 0.792161i \(0.291044\pi\)
\(152\) 5.71525 + 15.0745i 0.463568 + 1.22271i
\(153\) 0.775896 + 0.672318i 0.0627275 + 0.0543537i
\(154\) −0.280276 + 1.05357i −0.0225853 + 0.0848993i
\(155\) −13.6999 + 21.3175i −1.10040 + 1.71226i
\(156\) 9.88951 5.14346i 0.791795 0.411806i
\(157\) −6.42113 + 4.12661i −0.512462 + 0.329339i −0.771184 0.636613i \(-0.780335\pi\)
0.258722 + 0.965952i \(0.416699\pi\)
\(158\) −2.09345 + 2.54476i −0.166546 + 0.202450i
\(159\) 11.7492 3.44988i 0.931773 0.273593i
\(160\) −15.2599 13.6238i −1.20640 1.07706i
\(161\) −1.66341 + 1.14080i −0.131095 + 0.0899078i
\(162\) 0.237024 + 1.39421i 0.0186224 + 0.109539i
\(163\) −3.54312 + 1.04035i −0.277519 + 0.0814868i −0.417530 0.908663i \(-0.637104\pi\)
0.140012 + 0.990150i \(0.455286\pi\)
\(164\) 20.5159 + 11.7468i 1.60203 + 0.917271i
\(165\) 3.58360 + 5.57619i 0.278983 + 0.434106i
\(166\) −6.95607 21.6264i −0.539896 1.67854i
\(167\) 0.978343 1.52233i 0.0757065 0.117802i −0.801336 0.598215i \(-0.795877\pi\)
0.877042 + 0.480413i \(0.159513\pi\)
\(168\) 1.18607 0.0912567i 0.0915070 0.00704061i
\(169\) 11.8297 13.6522i 0.909974 1.05017i
\(170\) −0.134379 5.24876i −0.0103064 0.402562i
\(171\) −5.18476 + 2.36780i −0.396489 + 0.181070i
\(172\) −0.321834 6.28119i −0.0245396 0.478936i
\(173\) −0.426922 + 1.45396i −0.0324583 + 0.110543i −0.974129 0.225993i \(-0.927437\pi\)
0.941671 + 0.336536i \(0.109255\pi\)
\(174\) 5.67965 + 8.35928i 0.430573 + 0.633715i
\(175\) −0.483461 + 3.36255i −0.0365462 + 0.254185i
\(176\) −7.32583 0.296226i −0.552205 0.0223289i
\(177\) 0.527440 1.15493i 0.0396448 0.0868101i
\(178\) 7.96988 + 3.39597i 0.597368 + 0.254539i
\(179\) 2.99107 + 20.8033i 0.223563 + 1.55491i 0.724405 + 0.689375i \(0.242115\pi\)
−0.500842 + 0.865539i \(0.666976\pi\)
\(180\) 4.45038 5.70116i 0.331712 0.424939i
\(181\) −10.0184 11.5618i −0.744662 0.859385i 0.249378 0.968406i \(-0.419774\pi\)
−0.994039 + 0.109021i \(0.965228\pi\)
\(182\) 2.97926 1.45385i 0.220837 0.107767i
\(183\) 10.9093 0.806440
\(184\) −9.92455 9.24680i −0.731648 0.681683i
\(185\) −27.3936 −2.01401
\(186\) 8.90596 4.34604i 0.653017 0.318667i
\(187\) −1.23233 1.42218i −0.0901167 0.104000i
\(188\) −5.00151 3.90423i −0.364773 0.284745i
\(189\) 0.0598544 + 0.416296i 0.00435377 + 0.0302811i
\(190\) 26.8169 + 11.4267i 1.94550 + 0.828980i
\(191\) 11.2219 24.5726i 0.811991 1.77801i 0.213388 0.976968i \(-0.431550\pi\)
0.598604 0.801045i \(-0.295722\pi\)
\(192\) 2.33647 + 7.65120i 0.168620 + 0.552178i
\(193\) −0.929388 + 6.46404i −0.0668988 + 0.465292i 0.928643 + 0.370974i \(0.120976\pi\)
−0.995542 + 0.0943178i \(0.969933\pi\)
\(194\) 6.87659 + 10.1209i 0.493710 + 0.726640i
\(195\) 5.67842 19.3389i 0.406640 1.38489i
\(196\) −13.6284 + 0.698285i −0.973454 + 0.0498775i
\(197\) 3.20510 1.46372i 0.228354 0.104286i −0.297953 0.954581i \(-0.596304\pi\)
0.526307 + 0.850295i \(0.323576\pi\)
\(198\) −0.0663436 2.59134i −0.00471483 0.184158i
\(199\) −1.96670 + 2.26970i −0.139416 + 0.160895i −0.821164 0.570693i \(-0.806675\pi\)
0.681748 + 0.731587i \(0.261220\pi\)
\(200\) −22.7787 + 1.75261i −1.61070 + 0.123928i
\(201\) −3.01526 + 4.69183i −0.212680 + 0.330937i
\(202\) −4.11216 12.7847i −0.289330 0.899529i
\(203\) 1.62491 + 2.52841i 0.114046 + 0.177459i
\(204\) −1.02026 + 1.78190i −0.0714326 + 0.124758i
\(205\) 41.0142 12.0429i 2.86456 0.841109i
\(206\) −1.46060 8.59147i −0.101765 0.598596i
\(207\) 3.03066 3.71686i 0.210646 0.258340i
\(208\) 13.9069 + 17.4249i 0.964271 + 1.20820i
\(209\) 10.0244 2.94342i 0.693399 0.203600i
\(210\) 1.36647 1.66106i 0.0942956 0.114624i
\(211\) 20.9986 13.4950i 1.44560 0.929031i 0.446181 0.894943i \(-0.352784\pi\)
0.999419 0.0340880i \(-0.0108526\pi\)
\(212\) 11.3003 + 21.7275i 0.776109 + 1.49225i
\(213\) −2.29271 + 3.56753i −0.157094 + 0.244443i
\(214\) 2.10703 7.92042i 0.144033 0.541429i
\(215\) −8.59445 7.44714i −0.586137 0.507890i
\(216\) −2.64473 + 1.00270i −0.179951 + 0.0682253i
\(217\) 2.68078 1.22427i 0.181983 0.0831090i
\(218\) −1.10328 + 9.37024i −0.0747235 + 0.634633i
\(219\) −1.35035 0.396498i −0.0912482 0.0267929i
\(220\) −9.56150 + 9.18269i −0.644636 + 0.619097i
\(221\) −0.814343 + 5.66388i −0.0547786 + 0.380994i
\(222\) 9.15749 + 5.55925i 0.614611 + 0.373112i
\(223\) 4.99327 + 2.28035i 0.334374 + 0.152703i 0.575525 0.817784i \(-0.304798\pi\)
−0.241151 + 0.970488i \(0.577525\pi\)
\(224\) 0.636385 + 2.29245i 0.0425203 + 0.153171i
\(225\) −1.14952 7.99507i −0.0766345 0.533005i
\(226\) 5.86487 5.35079i 0.390125 0.355929i
\(227\) 3.88255 3.36425i 0.257694 0.223293i −0.516426 0.856332i \(-0.672738\pi\)
0.774120 + 0.633038i \(0.218193\pi\)
\(228\) −6.64579 9.26210i −0.440128 0.613397i
\(229\) 16.1245 1.06554 0.532768 0.846261i \(-0.321152\pi\)
0.532768 + 0.846261i \(0.321152\pi\)
\(230\) −24.4888 + 1.36163i −1.61474 + 0.0897831i
\(231\) 0.770899i 0.0507214i
\(232\) −14.2151 + 14.3692i −0.933269 + 0.943383i
\(233\) −17.0202 19.6423i −1.11503 1.28681i −0.953982 0.299865i \(-0.903058\pi\)
−0.161047 0.986947i \(-0.551487\pi\)
\(234\) −5.82290 + 5.31250i −0.380655 + 0.347289i
\(235\) −11.3557 + 1.63270i −0.740762 + 0.106505i
\(236\) 2.46990 + 0.589802i 0.160777 + 0.0383928i
\(237\) 0.967941 2.11949i 0.0628745 0.137676i
\(238\) −0.316882 + 0.521985i −0.0205404 + 0.0338353i
\(239\) 22.8951 + 3.29182i 1.48096 + 0.212930i 0.834920 0.550371i \(-0.185514\pi\)
0.646043 + 0.763301i \(0.276423\pi\)
\(240\) 12.9043 + 6.53569i 0.832970 + 0.421877i
\(241\) −7.76480 + 26.4445i −0.500175 + 1.70344i 0.191729 + 0.981448i \(0.438591\pi\)
−0.691903 + 0.721990i \(0.743227\pi\)
\(242\) 1.26348 10.7309i 0.0812197 0.689806i
\(243\) −0.415415 0.909632i −0.0266489 0.0583529i
\(244\) 4.20616 + 21.4094i 0.269272 + 1.37059i
\(245\) −16.1581 + 18.6474i −1.03230 + 1.19134i
\(246\) −16.1548 4.29757i −1.02999 0.274003i
\(247\) −26.7252 17.1753i −1.70049 1.09284i
\(248\) 11.9628 + 15.8022i 0.759638 + 1.00344i
\(249\) 8.68473 + 13.5137i 0.550373 + 0.856396i
\(250\) −9.99824 + 12.1537i −0.632344 + 0.768665i
\(251\) 5.10963 + 17.4018i 0.322517 + 1.09839i 0.948031 + 0.318179i \(0.103071\pi\)
−0.625513 + 0.780213i \(0.715110\pi\)
\(252\) −0.793898 + 0.277969i −0.0500109 + 0.0175104i
\(253\) −6.46809 + 5.95293i −0.406645 + 0.374257i
\(254\) −14.9628 + 2.54376i −0.938847 + 0.159610i
\(255\) 1.04598 + 3.56226i 0.0655015 + 0.223078i
\(256\) −14.1145 + 7.53525i −0.882158 + 0.470953i
\(257\) 19.6384 12.6208i 1.22501 0.787267i 0.241904 0.970300i \(-0.422228\pi\)
0.983107 + 0.183034i \(0.0585917\pi\)
\(258\) 1.36175 + 4.23369i 0.0847789 + 0.263578i
\(259\) 2.68017 + 1.72244i 0.166538 + 0.107027i
\(260\) 40.1417 + 3.68757i 2.48948 + 0.228693i
\(261\) −5.40073 4.67975i −0.334296 0.289670i
\(262\) −25.8620 + 0.662120i −1.59776 + 0.0409059i
\(263\) −8.52535 18.6679i −0.525696 1.15111i −0.967238 0.253873i \(-0.918296\pi\)
0.441542 0.897241i \(-0.354432\pi\)
\(264\) 5.05988 1.12931i 0.311414 0.0695039i
\(265\) 42.4881 + 12.4756i 2.61003 + 0.766373i
\(266\) −1.90527 2.80416i −0.116819 0.171934i
\(267\) −6.06348 0.871797i −0.371079 0.0533531i
\(268\) −10.3702 4.10843i −0.633461 0.250963i
\(269\) −3.47782 1.58827i −0.212047 0.0968385i 0.306560 0.951851i \(-0.400822\pi\)
−0.518607 + 0.855013i \(0.673549\pi\)
\(270\) −2.00474 + 4.70485i −0.122005 + 0.286328i
\(271\) 18.5390 2.66550i 1.12616 0.161918i 0.446038 0.895014i \(-0.352835\pi\)
0.680125 + 0.733096i \(0.261925\pi\)
\(272\) −3.89032 1.31523i −0.235885 0.0797472i
\(273\) −1.77156 + 1.53506i −0.107220 + 0.0929062i
\(274\) −1.13990 + 0.556264i −0.0688640 + 0.0336051i
\(275\) 14.8053i 0.892793i
\(276\) 8.46278 + 4.51457i 0.509400 + 0.271745i
\(277\) 23.8555i 1.43334i 0.697414 + 0.716668i \(0.254334\pi\)
−0.697414 + 0.716668i \(0.745666\pi\)
\(278\) −0.992293 2.03342i −0.0595138 0.121956i
\(279\) −5.29576 + 4.58880i −0.317049 + 0.274724i
\(280\) 3.78665 + 2.04125i 0.226296 + 0.121988i
\(281\) −16.6275 + 2.39068i −0.991915 + 0.142616i −0.619119 0.785297i \(-0.712510\pi\)
−0.372796 + 0.927913i \(0.621601\pi\)
\(282\) 4.12747 + 1.75872i 0.245787 + 0.104730i
\(283\) −2.71789 1.24122i −0.161562 0.0737828i 0.332993 0.942929i \(-0.391942\pi\)
−0.494555 + 0.869147i \(0.664669\pi\)
\(284\) −7.88520 3.12393i −0.467900 0.185371i
\(285\) −20.4023 2.93341i −1.20853 0.173760i
\(286\) 11.9503 8.11951i 0.706634 0.480117i
\(287\) −4.77003 1.40061i −0.281566 0.0826752i
\(288\) −2.98748 4.80364i −0.176039 0.283057i
\(289\) 6.62420 + 14.5050i 0.389659 + 0.853233i
\(290\) 0.935363 + 36.5347i 0.0549264 + 2.14539i
\(291\) −6.53889 5.66598i −0.383316 0.332145i
\(292\) 0.257486 2.80291i 0.0150683 0.164028i
\(293\) −10.6698 6.85705i −0.623335 0.400593i 0.190502 0.981687i \(-0.438989\pi\)
−0.813837 + 0.581094i \(0.802625\pi\)
\(294\) 9.18587 2.95460i 0.535731 0.172316i
\(295\) 3.86257 2.48232i 0.224888 0.144527i
\(296\) −7.37921 + 20.1148i −0.428908 + 1.16915i
\(297\) 0.516403 + 1.75871i 0.0299647 + 0.102051i
\(298\) 0.750245 + 4.41305i 0.0434605 + 0.255641i
\(299\) 26.5598 + 3.01009i 1.53599 + 0.174078i
\(300\) 15.2470 5.33846i 0.880286 0.308216i
\(301\) 0.372618 + 1.26902i 0.0214774 + 0.0731452i
\(302\) −6.06830 4.99210i −0.349191 0.287263i
\(303\) 5.13408 + 7.98878i 0.294945 + 0.458943i
\(304\) 15.6144 16.6133i 0.895547 0.952840i
\(305\) 33.1882 + 21.3287i 1.90035 + 1.22128i
\(306\) 0.373263 1.40311i 0.0213380 0.0802106i
\(307\) 4.93534 5.69569i 0.281675 0.325070i −0.597228 0.802072i \(-0.703731\pi\)
0.878902 + 0.477002i \(0.158277\pi\)
\(308\) 1.51288 0.297225i 0.0862042 0.0169360i
\(309\) 2.55989 + 5.60538i 0.145627 + 0.318879i
\(310\) 35.5905 + 4.19053i 2.02141 + 0.238006i
\(311\) 5.23408 17.8256i 0.296798 1.01080i −0.667198 0.744881i \(-0.732506\pi\)
0.963995 0.265919i \(-0.0856754\pi\)
\(312\) −12.6708 9.37908i −0.717340 0.530986i
\(313\) −3.14861 0.452702i −0.177970 0.0255883i 0.0527535 0.998608i \(-0.483200\pi\)
−0.230724 + 0.973019i \(0.574109\pi\)
\(314\) 9.22724 + 5.60158i 0.520723 + 0.316116i
\(315\) −0.631810 + 1.38347i −0.0355985 + 0.0779498i
\(316\) 4.53267 + 1.08238i 0.254983 + 0.0608889i
\(317\) 11.1965 1.60981i 0.628858 0.0904161i 0.179485 0.983761i \(-0.442557\pi\)
0.449372 + 0.893345i \(0.351648\pi\)
\(318\) −11.6717 12.7931i −0.654517 0.717400i
\(319\) 8.57778 + 9.89928i 0.480263 + 0.554253i
\(320\) −7.85086 + 27.8444i −0.438876 + 1.55655i
\(321\) 5.79537i 0.323466i
\(322\) 2.48159 + 1.40658i 0.138293 + 0.0783854i
\(323\) 5.85179 0.325602
\(324\) 1.62497 1.16596i 0.0902763 0.0647755i
\(325\) 34.0232 29.4813i 1.88727 1.63533i
\(326\) 3.51975 + 3.85791i 0.194941 + 0.213670i
\(327\) −0.949458 6.60362i −0.0525051 0.365181i
\(328\) 2.20534 33.3604i 0.121769 1.84202i
\(329\) 1.21369 + 0.554274i 0.0669130 + 0.0305581i
\(330\) 4.86448 8.01304i 0.267781 0.441104i
\(331\) −2.98666 + 20.7727i −0.164162 + 1.14177i 0.726522 + 0.687144i \(0.241136\pi\)
−0.890683 + 0.454625i \(0.849773\pi\)
\(332\) −23.1720 + 22.2539i −1.27173 + 1.22134i
\(333\) −7.26828 2.13416i −0.398299 0.116951i
\(334\) −2.54160 0.299256i −0.139070 0.0163745i
\(335\) −18.3460 + 8.37832i −1.00235 + 0.457756i
\(336\) −0.851602 1.45084i −0.0464587 0.0791498i
\(337\) 9.58180 + 8.30268i 0.521954 + 0.452276i 0.875554 0.483121i \(-0.160497\pi\)
−0.353599 + 0.935397i \(0.615042\pi\)
\(338\) −24.6883 6.56768i −1.34286 0.357235i
\(339\) −3.03500 + 4.72256i −0.164839 + 0.256494i
\(340\) −6.58761 + 3.42616i −0.357263 + 0.185810i
\(341\) 10.8051 6.94401i 0.585129 0.376039i
\(342\) 6.22505 + 5.12106i 0.336612 + 0.276915i
\(343\) 5.57819 1.63791i 0.301194 0.0884386i
\(344\) −7.78352 + 4.30474i −0.419659 + 0.232096i
\(345\) 16.4867 5.38216i 0.887612 0.289766i
\(346\) 2.11271 0.359173i 0.113580 0.0193093i
\(347\) −31.5108 + 9.25240i −1.69159 + 0.496695i −0.978823 0.204708i \(-0.934375\pi\)
−0.712765 + 0.701403i \(0.752557\pi\)
\(348\) 7.10166 12.4031i 0.380689 0.664879i
\(349\) −16.0400 24.9587i −0.858601 1.33601i −0.940649 0.339381i \(-0.889782\pi\)
0.0820477 0.996628i \(-0.473854\pi\)
\(350\) 4.57350 1.47105i 0.244464 0.0786310i
\(351\) 3.01329 4.68876i 0.160837 0.250268i
\(352\) 4.16711 + 9.49454i 0.222108 + 0.506060i
\(353\) 0.993198 1.14621i 0.0528626 0.0610067i −0.728702 0.684830i \(-0.759876\pi\)
0.781565 + 0.623824i \(0.214422\pi\)
\(354\) −1.79500 + 0.0459556i −0.0954030 + 0.00244251i
\(355\) −13.9497 + 6.37062i −0.740374 + 0.338118i
\(356\) −0.626924 12.2356i −0.0332269 0.648486i
\(357\) 0.121649 0.414298i 0.00643834 0.0219270i
\(358\) 24.5850 16.7041i 1.29936 0.882839i
\(359\) −1.45080 + 10.0905i −0.0765701 + 0.532557i 0.915047 + 0.403347i \(0.132153\pi\)
−0.991617 + 0.129210i \(0.958756\pi\)
\(360\) −10.0061 2.12029i −0.527369 0.111749i
\(361\) −5.60322 + 12.2693i −0.294906 + 0.645755i
\(362\) −8.48103 + 19.9038i −0.445753 + 1.04612i
\(363\) 1.08733 + 7.56251i 0.0570698 + 0.396929i
\(364\) −3.69557 2.88480i −0.193701 0.151205i
\(365\) −3.33282 3.84628i −0.174448 0.201324i
\(366\) −6.76615 13.8653i −0.353672 0.724749i
\(367\) −27.3567 −1.42801 −0.714003 0.700143i \(-0.753120\pi\)
−0.714003 + 0.700143i \(0.753120\pi\)
\(368\) −5.59690 + 18.3487i −0.291758 + 0.956492i
\(369\) 11.8204 0.615347
\(370\) 16.9900 + 34.8160i 0.883266 + 1.81000i
\(371\) −3.37258 3.89216i −0.175095 0.202071i
\(372\) −11.0473 8.62360i −0.572774 0.447113i
\(373\) 2.40226 + 16.7081i 0.124384 + 0.865110i 0.952497 + 0.304549i \(0.0985056\pi\)
−0.828113 + 0.560562i \(0.810585\pi\)
\(374\) −1.04322 + 2.44830i −0.0539436 + 0.126598i
\(375\) 4.62284 10.1226i 0.238723 0.522730i
\(376\) −1.86008 + 8.77818i −0.0959265 + 0.452700i
\(377\) 5.66834 39.4242i 0.291934 2.03045i
\(378\) 0.491972 0.334266i 0.0253043 0.0171928i
\(379\) 5.80051 19.7547i 0.297952 1.01473i −0.665399 0.746488i \(-0.731738\pi\)
0.963351 0.268244i \(-0.0864434\pi\)
\(380\) −2.10946 41.1702i −0.108213 2.11199i
\(381\) 9.76224 4.45826i 0.500135 0.228404i
\(382\) −38.1908 + 0.977762i −1.95401 + 0.0500267i
\(383\) −14.6701 + 16.9302i −0.749607 + 0.865093i −0.994530 0.104450i \(-0.966692\pi\)
0.244923 + 0.969543i \(0.421237\pi\)
\(384\) 8.27523 7.71496i 0.422294 0.393702i
\(385\) 1.50718 2.34522i 0.0768130 0.119523i
\(386\) 8.79193 2.82789i 0.447498 0.143936i
\(387\) −1.70016 2.64550i −0.0864241 0.134479i
\(388\) 8.59829 15.0170i 0.436512 0.762374i
\(389\) −7.50380 + 2.20331i −0.380458 + 0.111712i −0.466369 0.884590i \(-0.654438\pi\)
0.0859112 + 0.996303i \(0.472620\pi\)
\(390\) −28.1008 + 4.77730i −1.42294 + 0.241908i
\(391\) −4.41548 + 2.17856i −0.223300 + 0.110175i
\(392\) 9.34003 + 16.8880i 0.471743 + 0.852971i
\(393\) 17.5522 5.15379i 0.885391 0.259974i
\(394\) −3.84818 3.16572i −0.193869 0.159487i
\(395\) 7.08847 4.55548i 0.356659 0.229211i
\(396\) −3.25233 + 1.69151i −0.163436 + 0.0850017i
\(397\) −2.81836 + 4.38545i −0.141449 + 0.220100i −0.904749 0.425945i \(-0.859942\pi\)
0.763300 + 0.646045i \(0.223578\pi\)
\(398\) 4.10447 + 1.09189i 0.205739 + 0.0547315i
\(399\) 1.81170 + 1.56985i 0.0906986 + 0.0785908i
\(400\) 16.3552 + 27.8637i 0.817761 + 1.39319i
\(401\) 6.97947 3.18742i 0.348538 0.159172i −0.233451 0.972369i \(-0.575002\pi\)
0.581989 + 0.813197i \(0.302275\pi\)
\(402\) 7.83323 + 0.922307i 0.390686 + 0.0460005i
\(403\) −37.4734 11.0032i −1.86668 0.548108i
\(404\) −13.6984 + 13.1557i −0.681520 + 0.654519i
\(405\) 0.514647 3.57945i 0.0255730 0.177864i
\(406\) 2.20570 3.63335i 0.109467 0.180320i
\(407\) 12.6301 + 5.76797i 0.626051 + 0.285908i
\(408\) 2.89750 + 0.191543i 0.143448 + 0.00948280i
\(409\) 0.480882 + 3.34461i 0.0237781 + 0.165380i 0.998250 0.0591272i \(-0.0188318\pi\)
−0.974472 + 0.224508i \(0.927923\pi\)
\(410\) −40.7437 44.6581i −2.01219 2.20551i
\(411\) 0.677821 0.587335i 0.0334344 0.0289711i
\(412\) −10.0135 + 7.18494i −0.493330 + 0.353977i
\(413\) −0.533994 −0.0262761
\(414\) −6.60364 1.54658i −0.324551 0.0760102i
\(415\) 58.0907i 2.85156i
\(416\) 13.5210 28.4823i 0.662922 1.39646i
\(417\) 1.04772 + 1.20913i 0.0513070 + 0.0592115i
\(418\) −9.95823 10.9150i −0.487073 0.533868i
\(419\) −1.22688 + 0.176399i −0.0599370 + 0.00861763i −0.172218 0.985059i \(-0.555093\pi\)
0.112281 + 0.993676i \(0.464184\pi\)
\(420\) −2.95864 0.706512i −0.144367 0.0344743i
\(421\) −8.25319 + 18.0720i −0.402236 + 0.880773i 0.594803 + 0.803872i \(0.297230\pi\)
−0.997039 + 0.0769019i \(0.975497\pi\)
\(422\) −30.1752 18.3184i −1.46890 0.891728i
\(423\) −3.14017 0.451489i −0.152680 0.0219521i
\(424\) 20.6061 27.8380i 1.00072 1.35193i
\(425\) −2.33630 + 7.95670i −0.113327 + 0.385957i
\(426\) 5.95616 + 0.701295i 0.288577 + 0.0339779i
\(427\) −1.90601 4.17358i −0.0922384 0.201974i
\(428\) −11.3733 + 2.23444i −0.549750 + 0.108006i
\(429\) −6.69009 + 7.72078i −0.323001 + 0.372763i
\(430\) −4.13456 + 15.5420i −0.199386 + 0.749503i
\(431\) 19.2795 + 12.3902i 0.928662 + 0.596815i 0.915159 0.403094i \(-0.132065\pi\)
0.0135036 + 0.999909i \(0.495702\pi\)
\(432\) 2.91470 + 2.73944i 0.140233 + 0.131801i
\(433\) −11.9789 18.6395i −0.575669 0.895758i 0.424283 0.905529i \(-0.360526\pi\)
−0.999952 + 0.00977131i \(0.996890\pi\)
\(434\) −3.21866 2.64784i −0.154501 0.127101i
\(435\) −7.28065 24.7956i −0.349080 1.18886i
\(436\) 12.5934 4.40936i 0.603116 0.211170i
\(437\) −0.818533 27.3232i −0.0391557 1.30705i
\(438\) 0.333578 + 1.96215i 0.0159390 + 0.0937552i
\(439\) −8.68928 29.5930i −0.414717 1.41240i −0.856905 0.515474i \(-0.827616\pi\)
0.442189 0.896922i \(-0.354202\pi\)
\(440\) 17.6010 + 6.45699i 0.839095 + 0.307825i
\(441\) −5.73997 + 3.68885i −0.273332 + 0.175660i
\(442\) 7.70361 2.47784i 0.366423 0.117859i
\(443\) −19.8718 12.7708i −0.944137 0.606760i −0.0245718 0.999698i \(-0.507822\pi\)
−0.919565 + 0.392938i \(0.871459\pi\)
\(444\) 1.38592 15.0867i 0.0657731 0.715984i
\(445\) −16.7418 14.5068i −0.793637 0.687690i
\(446\) −0.198686 7.76054i −0.00940804 0.367472i
\(447\) −1.31490 2.87923i −0.0621927 0.136183i
\(448\) 2.51891 2.23064i 0.119007 0.105388i
\(449\) −1.92741 0.565940i −0.0909603 0.0267083i 0.235936 0.971769i \(-0.424185\pi\)
−0.326896 + 0.945060i \(0.606003\pi\)
\(450\) −9.44844 + 6.41967i −0.445404 + 0.302626i
\(451\) −21.4458 3.08344i −1.00984 0.145193i
\(452\) −10.4381 4.13534i −0.490968 0.194510i
\(453\) 5.05420 + 2.30818i 0.237467 + 0.108448i
\(454\) −6.68384 2.84799i −0.313688 0.133663i
\(455\) −8.39060 + 1.20639i −0.393357 + 0.0565562i
\(456\) −7.64989 + 14.1910i −0.358239 + 0.664556i
\(457\) 23.0762 19.9956i 1.07946 0.935355i 0.0813397 0.996686i \(-0.474080\pi\)
0.998117 + 0.0613314i \(0.0195347\pi\)
\(458\) −10.0007 20.4935i −0.467301 0.957599i
\(459\) 1.02666i 0.0479203i
\(460\) 16.9189 + 30.2797i 0.788850 + 1.41180i
\(461\) 25.7500i 1.19930i 0.800264 + 0.599648i \(0.204693\pi\)
−0.800264 + 0.599648i \(0.795307\pi\)
\(462\) −0.979779 + 0.478125i −0.0455834 + 0.0222444i
\(463\) 8.32083 7.21004i 0.386702 0.335079i −0.439716 0.898137i \(-0.644921\pi\)
0.826417 + 0.563058i \(0.190375\pi\)
\(464\) 27.0791 + 9.15480i 1.25711 + 0.425001i
\(465\) −25.0822 + 3.60628i −1.16316 + 0.167237i
\(466\) −14.4083 + 33.8144i −0.667454 + 1.56642i
\(467\) −30.8912 14.1075i −1.42947 0.652819i −0.457780 0.889065i \(-0.651355\pi\)
−0.971693 + 0.236247i \(0.924083\pi\)
\(468\) 10.3634 + 4.10574i 0.479049 + 0.189788i
\(469\) 2.32177 + 0.333820i 0.107209 + 0.0154144i
\(470\) 9.11807 + 13.4199i 0.420585 + 0.619015i
\(471\) −7.32363 2.15041i −0.337455 0.0990857i
\(472\) −0.782259 3.50494i −0.0360064 0.161328i
\(473\) 2.39450 + 5.24323i 0.110099 + 0.241084i
\(474\) −3.29412 + 0.0843362i −0.151304 + 0.00387369i
\(475\) −34.7942 30.1493i −1.59647 1.38335i
\(476\) 0.859957 + 0.0789989i 0.0394160 + 0.00362091i
\(477\) 10.3013 + 6.62027i 0.471666 + 0.303121i
\(478\) −10.0162 31.1404i −0.458130 1.42433i
\(479\) −9.24167 + 5.93926i −0.422263 + 0.271372i −0.734469 0.678643i \(-0.762569\pi\)
0.312206 + 0.950014i \(0.398932\pi\)
\(480\) 0.303103 20.4544i 0.0138347 0.933610i
\(481\) −11.8948 40.5101i −0.542357 1.84710i
\(482\) 38.4256 6.53259i 1.75024 0.297552i
\(483\) −1.95146 0.510054i −0.0887946 0.0232083i
\(484\) −14.4221 + 5.04963i −0.655550 + 0.229529i
\(485\) −8.81499 30.0211i −0.400268 1.36319i
\(486\) −0.898455 + 1.09214i −0.0407548 + 0.0495406i
\(487\) −6.72951 10.4713i −0.304943 0.474501i 0.654634 0.755946i \(-0.272823\pi\)
−0.959577 + 0.281445i \(0.909186\pi\)
\(488\) 24.6017 18.6243i 1.11366 0.843083i
\(489\) −3.10650 1.99642i −0.140481 0.0902814i
\(490\) 33.7216 + 8.97078i 1.52339 + 0.405259i
\(491\) −2.98824 + 3.44862i −0.134858 + 0.155634i −0.819161 0.573563i \(-0.805561\pi\)
0.684304 + 0.729197i \(0.260106\pi\)
\(492\) 4.55744 + 23.1974i 0.205465 + 1.04582i
\(493\) 3.04777 + 6.67368i 0.137265 + 0.300567i
\(494\) −5.25357 + 44.6190i −0.236369 + 2.00750i
\(495\) −1.86744 + 6.35993i −0.0839353 + 0.285858i
\(496\) 12.6643 25.0050i 0.568646 1.12276i
\(497\) 1.76540 + 0.253826i 0.0791891 + 0.0113857i
\(498\) 11.7889 19.4194i 0.528274 0.870202i
\(499\) −3.25624 + 7.13017i −0.145769 + 0.319190i −0.968407 0.249376i \(-0.919775\pi\)
0.822637 + 0.568566i \(0.192502\pi\)
\(500\) 21.6478 + 5.16942i 0.968121 + 0.231184i
\(501\) 1.79118 0.257533i 0.0800240 0.0115057i
\(502\) 18.9479 17.2870i 0.845685 0.771558i
\(503\) 3.48132 + 4.01766i 0.155225 + 0.179139i 0.828035 0.560676i \(-0.189459\pi\)
−0.672811 + 0.739815i \(0.734913\pi\)
\(504\) 0.845676 + 0.836609i 0.0376694 + 0.0372655i
\(505\) 34.3409i 1.52815i
\(506\) 11.5775 + 4.52856i 0.514684 + 0.201319i
\(507\) 18.0644 0.802268
\(508\) 12.5132 + 17.4393i 0.555182 + 0.773745i
\(509\) 2.93351 2.54190i 0.130026 0.112668i −0.587420 0.809282i \(-0.699856\pi\)
0.717446 + 0.696614i \(0.245311\pi\)
\(510\) 3.87875 3.53877i 0.171754 0.156699i
\(511\) 0.0842365 + 0.585878i 0.00372640 + 0.0259177i
\(512\) 18.3311 + 13.2655i 0.810126 + 0.586256i
\(513\) −5.18476 2.36780i −0.228913 0.104541i
\(514\) −28.2206 17.1319i −1.24476 0.755656i
\(515\) −3.17138 + 22.0575i −0.139748 + 0.971968i
\(516\) 4.53625 4.35653i 0.199697 0.191786i
\(517\) 5.57943 + 1.63827i 0.245383 + 0.0720510i
\(518\) 0.526860 4.47467i 0.0231489 0.196606i
\(519\) −1.37841 + 0.629497i −0.0605053 + 0.0276318i
\(520\) −20.2098 53.3054i −0.886259 2.33760i
\(521\) −1.81021 1.56856i −0.0793069 0.0687199i 0.614305 0.789068i \(-0.289436\pi\)
−0.693612 + 0.720349i \(0.743982\pi\)
\(522\) −2.59814 + 9.76655i −0.113718 + 0.427470i
\(523\) 15.5053 24.1268i 0.678002 1.05499i −0.316328 0.948650i \(-0.602450\pi\)
0.994330 0.106341i \(-0.0339136\pi\)
\(524\) 16.8816 + 32.4588i 0.737475 + 1.41797i
\(525\) −2.85784 + 1.83662i −0.124726 + 0.0801568i
\(526\) −18.4385 + 22.4135i −0.803959 + 0.977276i
\(527\) 6.90267 2.02681i 0.300685 0.0882891i
\(528\) −4.57353 5.73048i −0.199037 0.249387i
\(529\) 10.7898 + 20.3121i 0.469122 + 0.883134i
\(530\) −10.4959 61.7382i −0.455912 2.68174i
\(531\) 1.21824 0.357707i 0.0528671 0.0155232i
\(532\) −2.38229 + 4.16070i −0.103285 + 0.180389i
\(533\) 35.6184 + 55.4232i 1.54280 + 2.40065i
\(534\) 2.65266 + 8.24712i 0.114792 + 0.356888i
\(535\) −11.3305 + 17.6306i −0.489860 + 0.762237i
\(536\) 1.21014 + 15.7282i 0.0522700 + 0.679355i
\(537\) −13.7634 + 15.8838i −0.593933 + 0.685435i
\(538\) 0.138385 + 5.40524i 0.00596621 + 0.233036i
\(539\) 11.3763 5.19537i 0.490011 0.223780i
\(540\) 7.22303 0.370091i 0.310830 0.0159262i
\(541\) −2.54903 + 8.68120i −0.109591 + 0.373234i −0.995966 0.0897355i \(-0.971398\pi\)
0.886374 + 0.462969i \(0.153216\pi\)
\(542\) −14.8859 21.9091i −0.639406 0.941075i
\(543\) 2.17721 15.1428i 0.0934329 0.649840i
\(544\) 0.741249 + 5.76015i 0.0317808 + 0.246965i
\(545\) 10.0223 21.9457i 0.429307 0.940052i
\(546\) 3.04975 + 1.29950i 0.130517 + 0.0556135i
\(547\) 2.39531 + 16.6598i 0.102416 + 0.712320i 0.974732 + 0.223377i \(0.0717082\pi\)
−0.872316 + 0.488943i \(0.837383\pi\)
\(548\) 1.41397 + 1.10376i 0.0604020 + 0.0471504i
\(549\) 7.14409 + 8.24471i 0.304902 + 0.351876i
\(550\) 18.8169 9.18250i 0.802355 0.391543i
\(551\) −40.7321 −1.73525
\(552\) 0.489061 13.5558i 0.0208158 0.576975i
\(553\) −0.979969 −0.0416725
\(554\) 30.3193 14.7956i 1.28814 0.628604i
\(555\) −17.9390 20.7027i −0.761467 0.878779i
\(556\) −1.96895 + 2.52232i −0.0835021 + 0.106970i
\(557\) −2.59722 18.0640i −0.110048 0.765398i −0.967870 0.251451i \(-0.919092\pi\)
0.857822 0.513946i \(-0.171817\pi\)
\(558\) 9.11668 + 3.88462i 0.385940 + 0.164449i
\(559\) 7.28107 15.9433i 0.307956 0.674330i
\(560\) 0.245797 6.07869i 0.0103868 0.256871i
\(561\) 0.267810 1.86266i 0.0113070 0.0786416i
\(562\) 13.3511 + 19.6501i 0.563183 + 0.828891i
\(563\) −13.3313 + 45.4021i −0.561845 + 1.91347i −0.208225 + 0.978081i \(0.566769\pi\)
−0.353620 + 0.935389i \(0.615049\pi\)
\(564\) −0.324674 6.33662i −0.0136712 0.266820i
\(565\) −18.4661 + 8.43318i −0.776874 + 0.354787i
\(566\) 0.108147 + 4.22415i 0.00454575 + 0.177554i
\(567\) −0.275420 + 0.317851i −0.0115665 + 0.0133485i
\(568\) 0.920153 + 11.9593i 0.0386088 + 0.501799i
\(569\) −11.0346 + 17.1701i −0.462593 + 0.719808i −0.991676 0.128762i \(-0.958900\pi\)
0.529083 + 0.848570i \(0.322536\pi\)
\(570\) 8.92562 + 27.7498i 0.373853 + 1.16231i
\(571\) 18.0111 + 28.0259i 0.753742 + 1.17285i 0.980042 + 0.198789i \(0.0637007\pi\)
−0.226300 + 0.974058i \(0.572663\pi\)
\(572\) −17.7313 10.1524i −0.741383 0.424493i
\(573\) 25.9196 7.61067i 1.08281 0.317940i
\(574\) 1.17834 + 6.93118i 0.0491831 + 0.289302i
\(575\) 37.4783 + 9.79571i 1.56295 + 0.408509i
\(576\) −4.25233 + 6.77626i −0.177181 + 0.282344i
\(577\) 35.2904 10.3622i 1.46916 0.431384i 0.553332 0.832961i \(-0.313356\pi\)
0.915825 + 0.401577i \(0.131538\pi\)
\(578\) 14.3267 17.4153i 0.595914 0.724381i
\(579\) −5.49381 + 3.53066i −0.228315 + 0.146729i
\(580\) 45.8539 23.8483i 1.90398 0.990245i
\(581\) 3.65260 5.68356i 0.151535 0.235794i
\(582\) −3.14568 + 11.8248i −0.130393 + 0.490153i
\(583\) −16.9628 14.6983i −0.702526 0.608742i
\(584\) −3.72208 + 1.41116i −0.154021 + 0.0583942i
\(585\) 18.3339 8.37283i 0.758015 0.346174i
\(586\) −2.09743 + 17.8137i −0.0866442 + 0.735877i
\(587\) −25.6865 7.54225i −1.06020 0.311302i −0.295267 0.955415i \(-0.595409\pi\)
−0.764930 + 0.644113i \(0.777227\pi\)
\(588\) −9.45240 9.84234i −0.389810 0.405891i
\(589\) −5.68412 + 39.5339i −0.234210 + 1.62897i
\(590\) −5.55056 3.36958i −0.228513 0.138723i
\(591\) 3.20510 + 1.46372i 0.131840 + 0.0602094i
\(592\) 30.1418 3.09692i 1.23882 0.127283i
\(593\) 1.36692 + 9.50712i 0.0561325 + 0.390410i 0.998448 + 0.0556853i \(0.0177344\pi\)
−0.942316 + 0.334725i \(0.891357\pi\)
\(594\) 1.91496 1.74711i 0.0785717 0.0716846i
\(595\) 1.18007 1.02254i 0.0483782 0.0419199i
\(596\) 5.14348 3.69058i 0.210685 0.151172i
\(597\) −3.00324 −0.122914
\(598\) −12.6471 35.6232i −0.517179 1.45674i
\(599\) 30.8462i 1.26034i −0.776456 0.630172i \(-0.782985\pi\)
0.776456 0.630172i \(-0.217015\pi\)
\(600\) −16.2414 16.0673i −0.663053 0.655944i
\(601\) −6.76253 7.80438i −0.275849 0.318347i 0.600872 0.799345i \(-0.294820\pi\)
−0.876722 + 0.480998i \(0.840275\pi\)
\(602\) 1.38177 1.26065i 0.0563166 0.0513803i
\(603\) −5.52043 + 0.793718i −0.224809 + 0.0323227i
\(604\) −2.58108 + 10.8087i −0.105023 + 0.439801i
\(605\) −11.4776 + 25.1324i −0.466630 + 1.02178i
\(606\) 6.96915 11.4800i 0.283102 0.466342i
\(607\) 14.1422 + 2.03334i 0.574013 + 0.0825305i 0.423207 0.906033i \(-0.360904\pi\)
0.150805 + 0.988563i \(0.451813\pi\)
\(608\) −30.7991 9.54135i −1.24907 0.386953i
\(609\) −0.846753 + 2.88378i −0.0343122 + 0.116857i
\(610\) 6.52404 55.4092i 0.264150 2.24345i
\(611\) −7.34532 16.0840i −0.297160 0.650689i
\(612\) −2.01480 + 0.395834i −0.0814434 + 0.0160006i
\(613\) −26.0134 + 30.0211i −1.05067 + 1.21254i −0.0741223 + 0.997249i \(0.523616\pi\)
−0.976550 + 0.215291i \(0.930930\pi\)
\(614\) −10.3000 2.74004i −0.415672 0.110579i
\(615\) 35.9600 + 23.1101i 1.45005 + 0.931888i
\(616\) −1.31607 1.73846i −0.0530261 0.0700444i
\(617\) 2.98873 + 4.65055i 0.120322 + 0.187224i 0.896190 0.443671i \(-0.146324\pi\)
−0.775868 + 0.630895i \(0.782688\pi\)
\(618\) 5.53651 6.73007i 0.222711 0.270723i
\(619\) −6.81784 23.2194i −0.274032 0.933267i −0.975395 0.220463i \(-0.929243\pi\)
0.701363 0.712804i \(-0.252575\pi\)
\(620\) −16.7479 47.8330i −0.672610 1.92102i
\(621\) 4.79368 0.143606i 0.192364 0.00576271i
\(622\) −25.9019 + 4.40348i −1.03857 + 0.176563i
\(623\) 0.725852 + 2.47202i 0.0290806 + 0.0990395i
\(624\) −4.06178 + 21.9210i −0.162601 + 0.877544i
\(625\) −0.121021 + 0.0777752i −0.00484082 + 0.00311101i
\(626\) 1.37746 + 4.28253i 0.0550544 + 0.171164i
\(627\) 8.78904 + 5.64838i 0.351001 + 0.225574i
\(628\) 1.39648 15.2016i 0.0557256 0.606610i
\(629\) 5.87750 + 5.09289i 0.234351 + 0.203067i
\(630\) 2.15019 0.0550493i 0.0856657 0.00219322i
\(631\) −2.10750 4.61478i −0.0838982 0.183711i 0.863033 0.505147i \(-0.168562\pi\)
−0.946931 + 0.321436i \(0.895835\pi\)
\(632\) −1.43558 6.43214i −0.0571042 0.255857i
\(633\) 23.9499 + 7.03233i 0.951924 + 0.279510i
\(634\) −8.99026 13.2318i −0.357049 0.525503i
\(635\) 38.4149 + 5.52322i 1.52445 + 0.219182i
\(636\) −9.02044 + 22.7687i −0.357684 + 0.902839i
\(637\) −34.5923 15.7978i −1.37060 0.625931i
\(638\) 7.26147 17.0417i 0.287484 0.674687i
\(639\) −4.19757 + 0.603519i −0.166053 + 0.0238749i
\(640\) 40.2583 7.29148i 1.59135 0.288221i
\(641\) −11.9749 + 10.3763i −0.472980 + 0.409840i −0.858463 0.512875i \(-0.828580\pi\)
0.385483 + 0.922715i \(0.374035\pi\)
\(642\) 7.36566 3.59439i 0.290700 0.141859i
\(643\) 34.8441i 1.37412i −0.726601 0.687060i \(-0.758901\pi\)
0.726601 0.687060i \(-0.241099\pi\)
\(644\) 0.248574 4.02637i 0.00979520 0.158661i
\(645\) 11.3721i 0.447776i
\(646\) −3.62938 7.43737i −0.142796 0.292619i
\(647\) −10.7696 + 9.33188i −0.423395 + 0.366874i −0.840342 0.542057i \(-0.817646\pi\)
0.416946 + 0.908931i \(0.363100\pi\)
\(648\) −2.48972 1.34212i −0.0978055 0.0527235i
\(649\) −2.30356 + 0.331202i −0.0904226 + 0.0130008i
\(650\) −58.5712 24.9572i −2.29735 0.978902i
\(651\) 2.68078 + 1.22427i 0.105068 + 0.0479830i
\(652\) 2.72022 6.86619i 0.106532 0.268901i
\(653\) −13.5793 1.95241i −0.531399 0.0764036i −0.128608 0.991696i \(-0.541051\pi\)
−0.402791 + 0.915292i \(0.631960\pi\)
\(654\) −7.80405 + 5.30240i −0.305162 + 0.207340i
\(655\) 63.4731 + 18.6374i 2.48010 + 0.728223i
\(656\) −43.7674 + 17.8878i −1.70883 + 0.698402i
\(657\) −0.584637 1.28018i −0.0228089 0.0499445i
\(658\) −0.0482936 1.88632i −0.00188268 0.0735364i
\(659\) 2.18840 + 1.89626i 0.0852481 + 0.0738679i 0.696442 0.717613i \(-0.254765\pi\)
−0.611194 + 0.791481i \(0.709311\pi\)
\(660\) −13.2013 1.21272i −0.513859 0.0472050i
\(661\) −11.6029 7.45675i −0.451301 0.290034i 0.295178 0.955442i \(-0.404621\pi\)
−0.746479 + 0.665408i \(0.768257\pi\)
\(662\) 28.2535 9.08765i 1.09810 0.353201i
\(663\) −4.81375 + 3.09361i −0.186951 + 0.120146i
\(664\) 42.6555 + 15.6483i 1.65535 + 0.607272i
\(665\) 2.44233 + 8.31782i 0.0947096 + 0.322551i
\(666\) 1.79549 + 10.5613i 0.0695737 + 0.409242i
\(667\) 30.7345 15.1642i 1.19005 0.587159i
\(668\) 1.19601 + 3.41587i 0.0462748 + 0.132164i
\(669\) 1.54652 + 5.26697i 0.0597920 + 0.203633i
\(670\) 22.0270 + 18.1205i 0.850976 + 0.700058i
\(671\) −10.8108 16.8219i −0.417347 0.649404i
\(672\) −1.31578 + 1.98219i −0.0507572 + 0.0764645i
\(673\) −24.2752 15.6007i −0.935739 0.601363i −0.0185552 0.999828i \(-0.505907\pi\)
−0.917184 + 0.398465i \(0.869543\pi\)
\(674\) 4.60955 17.3275i 0.177553 0.667431i
\(675\) 5.28950 6.10441i 0.203593 0.234959i
\(676\) 6.96484 + 35.4511i 0.267878 + 1.36350i
\(677\) 14.5243 + 31.8038i 0.558214 + 1.22232i 0.952839 + 0.303476i \(0.0981471\pi\)
−0.394625 + 0.918842i \(0.629126\pi\)
\(678\) 7.88453 + 0.928347i 0.302804 + 0.0356529i
\(679\) −1.02520 + 3.49151i −0.0393436 + 0.133992i
\(680\) 8.44025 + 6.24760i 0.323669 + 0.239584i
\(681\) 5.08506 + 0.731122i 0.194860 + 0.0280166i
\(682\) −15.5270 9.42601i −0.594561 0.360941i
\(683\) −3.77707 + 8.27062i −0.144525 + 0.316467i −0.968026 0.250848i \(-0.919290\pi\)
0.823501 + 0.567315i \(0.192018\pi\)
\(684\) 2.64776 11.0879i 0.101240 0.423958i
\(685\) 3.21035 0.461579i 0.122661 0.0176360i
\(686\) −5.54140 6.07378i −0.211572 0.231898i
\(687\) 10.5593 + 12.1861i 0.402862 + 0.464928i
\(688\) 10.2986 + 7.22264i 0.392631 + 0.275361i
\(689\) 68.2493i 2.60009i
\(690\) −17.0658 17.6157i −0.649684 0.670619i
\(691\) −8.79461 −0.334563 −0.167281 0.985909i \(-0.553499\pi\)
−0.167281 + 0.985909i \(0.553499\pi\)
\(692\) −1.76683 2.46239i −0.0671648 0.0936062i
\(693\) 0.582606 0.504831i 0.0221314 0.0191770i
\(694\) 31.3029 + 34.3103i 1.18824 + 1.30240i
\(695\) 0.823389 + 5.72680i 0.0312329 + 0.217230i
\(696\) −20.1684 1.33326i −0.764483 0.0505372i
\(697\) −11.0389 5.04128i −0.418127 0.190952i
\(698\) −21.7732 + 35.8660i −0.824127 + 1.35755i
\(699\) 3.69884 25.7260i 0.139903 0.973046i
\(700\) −4.70621 4.90035i −0.177878 0.185216i
\(701\) −28.1446 8.26401i −1.06301 0.312127i −0.296947 0.954894i \(-0.595968\pi\)
−0.766062 + 0.642767i \(0.777786\pi\)
\(702\) −7.82811 0.921703i −0.295453 0.0347875i
\(703\) −39.2752 + 17.9364i −1.48129 + 0.676484i
\(704\) 9.48263 11.1849i 0.357390 0.421547i
\(705\) −8.67029 7.51285i −0.326542 0.282950i
\(706\) −2.07278 0.551412i −0.0780103 0.0207527i
\(707\) 2.15928 3.35990i 0.0812079 0.126362i
\(708\) 1.17170 + 2.25286i 0.0440350 + 0.0846677i
\(709\) −28.4219 + 18.2656i −1.06741 + 0.685980i −0.951615 0.307294i \(-0.900577\pi\)
−0.115791 + 0.993274i \(0.536940\pi\)
\(710\) 16.7486 + 13.7783i 0.628565 + 0.517091i
\(711\) 2.23567 0.656453i 0.0838443 0.0246189i
\(712\) −15.1621 + 8.38553i −0.568224 + 0.314261i
\(713\) −10.4291 31.9465i −0.390574 1.19641i
\(714\) −0.602004 + 0.102344i −0.0225294 + 0.00383014i
\(715\) −35.4473 + 10.4083i −1.32566 + 0.389248i
\(716\) −36.4782 20.8863i −1.36326 0.780558i
\(717\) 12.5053 + 19.4587i 0.467020 + 0.726698i
\(718\) 13.7244 4.41441i 0.512191 0.164744i
\(719\) −6.96862 + 10.8434i −0.259886 + 0.404390i −0.946536 0.322598i \(-0.895444\pi\)
0.686650 + 0.726988i \(0.259080\pi\)
\(720\) 3.51118 + 14.0324i 0.130854 + 0.522957i
\(721\) 1.69721 1.95868i 0.0632072 0.0729450i
\(722\) 19.0690 0.488206i 0.709675 0.0181691i
\(723\) −25.0703 + 11.4492i −0.932373 + 0.425801i
\(724\) 30.5570 1.56567i 1.13564 0.0581876i
\(725\) 16.2621 55.3836i 0.603959 2.05690i
\(726\) 8.93725 6.07234i 0.331692 0.225366i
\(727\) −0.697629 + 4.85211i −0.0258736 + 0.179955i −0.998660 0.0517482i \(-0.983521\pi\)
0.972787 + 0.231703i \(0.0744298\pi\)
\(728\) −1.37440 + 6.48612i −0.0509386 + 0.240391i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) −2.82138 + 6.62140i −0.104424 + 0.245069i
\(731\) 0.459470 + 3.19568i 0.0169941 + 0.118197i
\(732\) −13.4257 + 17.1990i −0.496227 + 0.635692i
\(733\) −13.0496 15.0600i −0.481998 0.556256i 0.461712 0.887030i \(-0.347236\pi\)
−0.943710 + 0.330775i \(0.892690\pi\)
\(734\) 16.9671 + 34.7691i 0.626266 + 1.28335i
\(735\) −24.6741 −0.910118
\(736\) 26.7917 4.26676i 0.987555 0.157275i
\(737\) 10.2227 0.376560
\(738\) −7.33124 15.0233i −0.269867 0.553014i
\(739\) 29.2067 + 33.7063i 1.07438 + 1.23991i 0.969414 + 0.245430i \(0.0789291\pi\)
0.104970 + 0.994475i \(0.466525\pi\)
\(740\) 33.7122 43.1870i 1.23928 1.58759i
\(741\) −4.52111 31.4450i −0.166087 1.15516i
\(742\) −2.85504 + 6.70038i −0.104812 + 0.245979i
\(743\) 11.1203 24.3500i 0.407963 0.893314i −0.588438 0.808543i \(-0.700257\pi\)
0.996400 0.0847714i \(-0.0270160\pi\)
\(744\) −4.10852 + 19.3891i −0.150626 + 0.710839i
\(745\) 1.62899 11.3299i 0.0596818 0.415096i
\(746\) 19.7453 13.4158i 0.722927 0.491187i
\(747\) −4.52569 + 15.4131i −0.165586 + 0.563935i
\(748\) 3.75870 0.192587i 0.137432 0.00704168i
\(749\) 2.21714 1.01253i 0.0810124 0.0369971i
\(750\) −15.7326 + 0.402786i −0.574472 + 0.0147077i
\(751\) 18.8039 21.7009i 0.686165 0.791877i −0.300649 0.953735i \(-0.597203\pi\)
0.986814 + 0.161858i \(0.0517486\pi\)
\(752\) 12.3103 3.08029i 0.448912 0.112327i
\(753\) −9.80531 + 15.2574i −0.357326 + 0.556009i
\(754\) −53.6220 + 17.2473i −1.95280 + 0.628111i
\(755\) 10.8631 + 16.9034i 0.395350 + 0.615176i
\(756\) −0.729968 0.417957i −0.0265487 0.0152010i
\(757\) −47.2201 + 13.8651i −1.71624 + 0.503935i −0.984161 0.177279i \(-0.943270\pi\)
−0.732084 + 0.681214i \(0.761452\pi\)
\(758\) −28.7050 + 4.88002i −1.04261 + 0.177250i
\(759\) −8.73462 0.989919i −0.317047 0.0359318i
\(760\) −51.0172 + 28.2155i −1.85059 + 1.02348i
\(761\) −13.9742 + 4.10320i −0.506565 + 0.148741i −0.525022 0.851089i \(-0.675943\pi\)
0.0184568 + 0.999830i \(0.494125\pi\)
\(762\) −11.7210 9.64229i −0.424606 0.349303i
\(763\) −2.36047 + 1.51698i −0.0854547 + 0.0549184i
\(764\) 24.9293 + 47.9324i 0.901909 + 1.73413i
\(765\) −2.00721 + 3.12328i −0.0725709 + 0.112923i
\(766\) 30.6162 + 8.14466i 1.10621 + 0.294279i
\(767\) 5.34811 + 4.63416i 0.193109 + 0.167330i
\(768\) −14.9378 5.73251i −0.539022 0.206854i
\(769\) 29.0072 13.2472i 1.04603 0.477705i 0.183133 0.983088i \(-0.441376\pi\)
0.862895 + 0.505384i \(0.168649\pi\)
\(770\) −3.91545 0.461016i −0.141103 0.0166139i
\(771\) 22.3986 + 6.57683i 0.806667 + 0.236859i
\(772\) −9.04704 9.42026i −0.325610 0.339043i
\(773\) −2.32399 + 16.1637i −0.0835882 + 0.581368i 0.904382 + 0.426724i \(0.140332\pi\)
−0.987970