Properties

Label 43.2.g.a.23.3
Level $43$
Weight $2$
Character 43.23
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 23.3
Character \(\chi\) \(=\) 43.23
Dual form 43.2.g.a.15.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0594739 - 0.0745779i) q^{2} +(-0.863608 - 2.20044i) q^{3} +(0.443017 - 1.94098i) q^{4} +(-0.284956 + 3.80248i) q^{5} +(-0.112742 + 0.195275i) q^{6} +(1.30981 + 2.26866i) q^{7} +(-0.342987 + 0.165174i) q^{8} +(-1.89695 + 1.76011i) q^{9} +O(q^{10})\) \(q+(-0.0594739 - 0.0745779i) q^{2} +(-0.863608 - 2.20044i) q^{3} +(0.443017 - 1.94098i) q^{4} +(-0.284956 + 3.80248i) q^{5} +(-0.112742 + 0.195275i) q^{6} +(1.30981 + 2.26866i) q^{7} +(-0.342987 + 0.165174i) q^{8} +(-1.89695 + 1.76011i) q^{9} +(0.300528 - 0.204897i) q^{10} +(-0.456380 - 1.99953i) q^{11} +(-4.65361 + 0.701419i) q^{12} +(-1.76837 - 1.20566i) q^{13} +(0.0912923 - 0.232609i) q^{14} +(8.61320 - 2.65682i) q^{15} +(-3.55476 - 1.71188i) q^{16} +(0.388739 + 5.18736i) q^{17} +(0.244084 + 0.0367898i) q^{18} +(-0.603144 - 0.559636i) q^{19} +(7.25431 + 2.23766i) q^{20} +(3.86088 - 4.84139i) q^{21} +(-0.121978 + 0.152956i) q^{22} +(-2.60979 - 0.805013i) q^{23} +(0.659661 + 0.612076i) q^{24} +(-9.43347 - 1.42187i) q^{25} +(0.0152567 + 0.203587i) q^{26} +(-0.878006 - 0.422825i) q^{27} +(4.98370 - 1.53727i) q^{28} +(1.43632 - 3.65969i) q^{29} +(-0.710401 - 0.484343i) q^{30} +(7.40600 - 1.11627i) q^{31} +(0.253169 + 1.10920i) q^{32} +(-4.00571 + 2.73104i) q^{33} +(0.363743 - 0.337504i) q^{34} +(-8.99976 + 4.33406i) q^{35} +(2.57597 + 4.46171i) q^{36} +(-0.431097 + 0.746681i) q^{37} +(-0.00586515 + 0.0782650i) q^{38} +(-1.12579 + 4.93241i) q^{39} +(-0.530334 - 1.35127i) q^{40} +(-2.40977 - 3.02176i) q^{41} -0.590682 q^{42} +(3.37563 + 5.62185i) q^{43} -4.08324 q^{44} +(-6.15223 - 7.71466i) q^{45} +(0.0951781 + 0.242510i) q^{46} +(-0.00195677 + 0.00857316i) q^{47} +(-0.696971 + 9.30043i) q^{48} +(0.0687935 - 0.119154i) q^{49} +(0.455006 + 0.788093i) q^{50} +(11.0787 - 5.33524i) q^{51} +(-3.12358 + 2.89826i) q^{52} +(3.12892 - 2.13326i) q^{53} +(0.0206850 + 0.0906269i) q^{54} +(7.73321 - 1.16559i) q^{55} +(-0.823971 - 0.561774i) q^{56} +(-0.710564 + 1.81049i) q^{57} +(-0.358356 + 0.110538i) q^{58} +(-3.54096 - 1.70524i) q^{59} +(-1.34105 - 17.8951i) q^{60} +(6.20973 + 0.935966i) q^{61} +(-0.523713 - 0.485935i) q^{62} +(-6.47773 - 1.99812i) q^{63} +(-4.85228 + 6.08457i) q^{64} +(5.08839 - 6.38064i) q^{65} +(0.441911 + 0.136311i) q^{66} +(-9.35418 - 8.67941i) q^{67} +(10.2408 + 1.54355i) q^{68} +(0.482453 + 6.43789i) q^{69} +(0.858476 + 0.413420i) q^{70} +(-0.220622 + 0.0680530i) q^{71} +(0.359905 - 0.917022i) q^{72} +(9.06930 + 6.18335i) q^{73} +(0.0813249 - 0.0122578i) q^{74} +(5.01809 + 21.9857i) q^{75} +(-1.35345 + 0.922766i) q^{76} +(3.93848 - 3.65437i) q^{77} +(0.434804 - 0.209390i) q^{78} +(-0.133642 - 0.231475i) q^{79} +(7.52235 - 13.0291i) q^{80} +(-0.752294 + 10.0387i) q^{81} +(-0.0820379 + 0.359432i) q^{82} +(-3.09474 - 7.88527i) q^{83} +(-7.68662 - 9.63872i) q^{84} -19.8356 q^{85} +(0.218504 - 0.586100i) q^{86} -9.29333 q^{87} +(0.486802 + 0.610431i) q^{88} +(5.18366 + 13.2077i) q^{89} +(-0.209446 + 0.917642i) q^{90} +(0.418989 - 5.59101i) q^{91} +(-2.71870 + 4.70892i) q^{92} +(-8.85217 - 15.3324i) q^{93} +(0.000755745 - 0.000363948i) q^{94} +(2.29987 - 2.13397i) q^{95} +(2.22210 - 1.51500i) q^{96} +(1.14326 + 5.00894i) q^{97} +(-0.0129777 + 0.00195607i) q^{98} +(4.38512 + 2.98973i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0594739 0.0745779i −0.0420544 0.0527346i 0.760360 0.649502i \(-0.225023\pi\)
−0.802414 + 0.596768i \(0.796451\pi\)
\(3\) −0.863608 2.20044i −0.498604 1.27042i −0.929767 0.368149i \(-0.879992\pi\)
0.431163 0.902274i \(-0.358104\pi\)
\(4\) 0.443017 1.94098i 0.221509 0.970492i
\(5\) −0.284956 + 3.80248i −0.127436 + 1.70052i 0.457313 + 0.889306i \(0.348812\pi\)
−0.584750 + 0.811214i \(0.698807\pi\)
\(6\) −0.112742 + 0.195275i −0.0460267 + 0.0797206i
\(7\) 1.30981 + 2.26866i 0.495062 + 0.857472i 0.999984 0.00569279i \(-0.00181208\pi\)
−0.504922 + 0.863165i \(0.668479\pi\)
\(8\) −0.342987 + 0.165174i −0.121264 + 0.0583978i
\(9\) −1.89695 + 1.76011i −0.632316 + 0.586704i
\(10\) 0.300528 0.204897i 0.0950354 0.0647940i
\(11\) −0.456380 1.99953i −0.137604 0.602881i −0.995958 0.0898231i \(-0.971370\pi\)
0.858354 0.513058i \(-0.171487\pi\)
\(12\) −4.65361 + 0.701419i −1.34338 + 0.202482i
\(13\) −1.76837 1.20566i −0.490458 0.334389i 0.292707 0.956202i \(-0.405444\pi\)
−0.783165 + 0.621813i \(0.786396\pi\)
\(14\) 0.0912923 0.232609i 0.0243989 0.0621673i
\(15\) 8.61320 2.65682i 2.22392 0.685988i
\(16\) −3.55476 1.71188i −0.888691 0.427971i
\(17\) 0.388739 + 5.18736i 0.0942831 + 1.25812i 0.820898 + 0.571075i \(0.193473\pi\)
−0.726615 + 0.687045i \(0.758908\pi\)
\(18\) 0.244084 + 0.0367898i 0.0575312 + 0.00867144i
\(19\) −0.603144 0.559636i −0.138371 0.128389i 0.607951 0.793974i \(-0.291992\pi\)
−0.746322 + 0.665585i \(0.768182\pi\)
\(20\) 7.25431 + 2.23766i 1.62211 + 0.500356i
\(21\) 3.86088 4.84139i 0.842512 1.05648i
\(22\) −0.121978 + 0.152956i −0.0260058 + 0.0326103i
\(23\) −2.60979 0.805013i −0.544178 0.167857i 0.0104646 0.999945i \(-0.496669\pi\)
−0.554643 + 0.832088i \(0.687145\pi\)
\(24\) 0.659661 + 0.612076i 0.134653 + 0.124940i
\(25\) −9.43347 1.42187i −1.88669 0.284373i
\(26\) 0.0152567 + 0.203587i 0.00299209 + 0.0399266i
\(27\) −0.878006 0.422825i −0.168972 0.0813728i
\(28\) 4.98370 1.53727i 0.941831 0.290516i
\(29\) 1.43632 3.65969i 0.266718 0.679587i −0.733282 0.679925i \(-0.762012\pi\)
1.00000 0.000337849i \(0.000107541\pi\)
\(30\) −0.710401 0.484343i −0.129701 0.0884286i
\(31\) 7.40600 1.11627i 1.33016 0.200489i 0.554785 0.831994i \(-0.312801\pi\)
0.775372 + 0.631505i \(0.217562\pi\)
\(32\) 0.253169 + 1.10920i 0.0447543 + 0.196081i
\(33\) −4.00571 + 2.73104i −0.697304 + 0.475414i
\(34\) 0.363743 0.337504i 0.0623814 0.0578815i
\(35\) −8.99976 + 4.33406i −1.52124 + 0.732589i
\(36\) 2.57597 + 4.46171i 0.429328 + 0.743618i
\(37\) −0.431097 + 0.746681i −0.0708719 + 0.122754i −0.899284 0.437366i \(-0.855911\pi\)
0.828412 + 0.560120i \(0.189245\pi\)
\(38\) −0.00586515 + 0.0782650i −0.000951453 + 0.0126963i
\(39\) −1.12579 + 4.93241i −0.180271 + 0.789817i
\(40\) −0.530334 1.35127i −0.0838531 0.213654i
\(41\) −2.40977 3.02176i −0.376343 0.471920i 0.557203 0.830376i \(-0.311874\pi\)
−0.933546 + 0.358457i \(0.883303\pi\)
\(42\) −0.590682 −0.0911442
\(43\) 3.37563 + 5.62185i 0.514778 + 0.857323i
\(44\) −4.08324 −0.615572
\(45\) −6.15223 7.71466i −0.917121 1.15003i
\(46\) 0.0951781 + 0.242510i 0.0140332 + 0.0357561i
\(47\) −0.00195677 + 0.00857316i −0.000285424 + 0.00125052i −0.975070 0.221896i \(-0.928776\pi\)
0.974785 + 0.223146i \(0.0716327\pi\)
\(48\) −0.696971 + 9.30043i −0.100599 + 1.34240i
\(49\) 0.0687935 0.119154i 0.00982764 0.0170220i
\(50\) 0.455006 + 0.788093i 0.0643475 + 0.111453i
\(51\) 11.0787 5.33524i 1.55133 0.747083i
\(52\) −3.12358 + 2.89826i −0.433163 + 0.401916i
\(53\) 3.12892 2.13326i 0.429790 0.293026i −0.329038 0.944317i \(-0.606724\pi\)
0.758828 + 0.651291i \(0.225772\pi\)
\(54\) 0.0206850 + 0.0906269i 0.00281487 + 0.0123328i
\(55\) 7.73321 1.16559i 1.04275 0.157169i
\(56\) −0.823971 0.561774i −0.110108 0.0750702i
\(57\) −0.710564 + 1.81049i −0.0941165 + 0.239805i
\(58\) −0.358356 + 0.110538i −0.0470544 + 0.0145144i
\(59\) −3.54096 1.70524i −0.460993 0.222003i 0.188948 0.981987i \(-0.439492\pi\)
−0.649941 + 0.759984i \(0.725207\pi\)
\(60\) −1.34105 17.8951i −0.173129 2.31025i
\(61\) 6.20973 + 0.935966i 0.795075 + 0.119838i 0.534004 0.845482i \(-0.320687\pi\)
0.261070 + 0.965320i \(0.415925\pi\)
\(62\) −0.523713 0.485935i −0.0665117 0.0617138i
\(63\) −6.47773 1.99812i −0.816118 0.251739i
\(64\) −4.85228 + 6.08457i −0.606535 + 0.760571i
\(65\) 5.08839 6.38064i 0.631137 0.791420i
\(66\) 0.441911 + 0.136311i 0.0543954 + 0.0167788i
\(67\) −9.35418 8.67941i −1.14279 1.06036i −0.997478 0.0709734i \(-0.977389\pi\)
−0.145317 0.989385i \(-0.546420\pi\)
\(68\) 10.2408 + 1.54355i 1.24188 + 0.187183i
\(69\) 0.482453 + 6.43789i 0.0580805 + 0.775031i
\(70\) 0.858476 + 0.413420i 0.102607 + 0.0494132i
\(71\) −0.220622 + 0.0680530i −0.0261830 + 0.00807640i −0.307819 0.951445i \(-0.599599\pi\)
0.281636 + 0.959521i \(0.409123\pi\)
\(72\) 0.359905 0.917022i 0.0424152 0.108072i
\(73\) 9.06930 + 6.18335i 1.06148 + 0.723706i 0.962472 0.271380i \(-0.0874801\pi\)
0.0990097 + 0.995086i \(0.468433\pi\)
\(74\) 0.0813249 0.0122578i 0.00945383 0.00142494i
\(75\) 5.01809 + 21.9857i 0.579439 + 2.53869i
\(76\) −1.35345 + 0.922766i −0.155251 + 0.105849i
\(77\) 3.93848 3.65437i 0.448831 0.416455i
\(78\) 0.434804 0.209390i 0.0492318 0.0237088i
\(79\) −0.133642 0.231475i −0.0150359 0.0260430i 0.858410 0.512965i \(-0.171453\pi\)
−0.873445 + 0.486922i \(0.838120\pi\)
\(80\) 7.52235 13.0291i 0.841024 1.45670i
\(81\) −0.752294 + 10.0387i −0.0835883 + 1.11541i
\(82\) −0.0820379 + 0.359432i −0.00905957 + 0.0396926i
\(83\) −3.09474 7.88527i −0.339692 0.865521i −0.994009 0.109300i \(-0.965139\pi\)
0.654317 0.756220i \(-0.272956\pi\)
\(84\) −7.68662 9.63872i −0.838679 1.05167i
\(85\) −19.8356 −2.15147
\(86\) 0.218504 0.586100i 0.0235619 0.0632008i
\(87\) −9.29333 −0.996350
\(88\) 0.486802 + 0.610431i 0.0518933 + 0.0650722i
\(89\) 5.18366 + 13.2077i 0.549466 + 1.40002i 0.888340 + 0.459186i \(0.151859\pi\)
−0.338874 + 0.940832i \(0.610046\pi\)
\(90\) −0.209446 + 0.917642i −0.0220775 + 0.0967279i
\(91\) 0.418989 5.59101i 0.0439219 0.586097i
\(92\) −2.71870 + 4.70892i −0.283444 + 0.490939i
\(93\) −8.85217 15.3324i −0.917928 1.58990i
\(94\) 0.000755745 0 0.000363948i 7.79492e−5 0 3.75383e-5i
\(95\) 2.29987 2.13397i 0.235962 0.218941i
\(96\) 2.22210 1.51500i 0.226792 0.154624i
\(97\) 1.14326 + 5.00894i 0.116080 + 0.508581i 0.999221 + 0.0394720i \(0.0125676\pi\)
−0.883140 + 0.469109i \(0.844575\pi\)
\(98\) −0.0129777 + 0.00195607i −0.00131094 + 0.000197593i
\(99\) 4.38512 + 2.98973i 0.440721 + 0.300479i
\(100\) −6.93901 + 17.6803i −0.693901 + 1.76803i
\(101\) −11.8407 + 3.65237i −1.17819 + 0.363424i −0.821177 0.570674i \(-0.806682\pi\)
−0.357016 + 0.934098i \(0.616206\pi\)
\(102\) −1.05679 0.508922i −0.104638 0.0503908i
\(103\) 0.430401 + 5.74330i 0.0424087 + 0.565904i 0.977423 + 0.211294i \(0.0677676\pi\)
−0.935014 + 0.354611i \(0.884613\pi\)
\(104\) 0.805672 + 0.121436i 0.0790026 + 0.0119077i
\(105\) 17.3091 + 16.0605i 1.68919 + 1.56734i
\(106\) −0.345183 0.106475i −0.0335272 0.0103418i
\(107\) 7.57872 9.50341i 0.732663 0.918730i −0.266317 0.963885i \(-0.585807\pi\)
0.998980 + 0.0451556i \(0.0143784\pi\)
\(108\) −1.20967 + 1.51688i −0.116400 + 0.145962i
\(109\) 16.9178 + 5.21845i 1.62043 + 0.499837i 0.966489 0.256707i \(-0.0826376\pi\)
0.653943 + 0.756544i \(0.273114\pi\)
\(110\) −0.546852 0.507405i −0.0521403 0.0483791i
\(111\) 2.01532 + 0.303761i 0.191286 + 0.0288317i
\(112\) −0.772387 10.3068i −0.0729837 0.973900i
\(113\) −10.2255 4.92435i −0.961935 0.463243i −0.114080 0.993472i \(-0.536392\pi\)
−0.847855 + 0.530228i \(0.822106\pi\)
\(114\) 0.177282 0.0546844i 0.0166040 0.00512166i
\(115\) 3.80472 9.69426i 0.354792 0.903995i
\(116\) −6.46709 4.40918i −0.600454 0.409383i
\(117\) 5.47660 0.825465i 0.506312 0.0763142i
\(118\) 0.0834217 + 0.365494i 0.00767959 + 0.0336465i
\(119\) −11.2592 + 7.67638i −1.03213 + 0.703692i
\(120\) −2.51538 + 2.33393i −0.229622 + 0.213058i
\(121\) 6.12082 2.94763i 0.556438 0.267967i
\(122\) −0.299515 0.518774i −0.0271168 0.0469676i
\(123\) −4.56809 + 7.91217i −0.411891 + 0.713416i
\(124\) 1.11431 14.8695i 0.100068 1.33532i
\(125\) 3.85223 16.8777i 0.344554 1.50959i
\(126\) 0.236241 + 0.601932i 0.0210460 + 0.0536243i
\(127\) −0.918776 1.15211i −0.0815281 0.102233i 0.739395 0.673272i \(-0.235112\pi\)
−0.820923 + 0.571039i \(0.806540\pi\)
\(128\) 3.01782 0.266740
\(129\) 9.45530 12.2829i 0.832493 1.08145i
\(130\) −0.778481 −0.0682773
\(131\) −8.27923 10.3818i −0.723359 0.907064i 0.275163 0.961397i \(-0.411268\pi\)
−0.998523 + 0.0543335i \(0.982697\pi\)
\(132\) 3.52632 + 8.98491i 0.306927 + 0.782036i
\(133\) 0.479619 2.10135i 0.0415882 0.182210i
\(134\) −0.0909628 + 1.21381i −0.00785799 + 0.104858i
\(135\) 1.85798 3.21811i 0.159909 0.276971i
\(136\) −0.990149 1.71499i −0.0849046 0.147059i
\(137\) 1.72976 0.833009i 0.147783 0.0711688i −0.358530 0.933518i \(-0.616722\pi\)
0.506314 + 0.862349i \(0.331008\pi\)
\(138\) 0.451431 0.418867i 0.0384284 0.0356563i
\(139\) −4.65402 + 3.17306i −0.394749 + 0.269135i −0.744386 0.667750i \(-0.767258\pi\)
0.349636 + 0.936885i \(0.386305\pi\)
\(140\) 4.42529 + 19.3885i 0.374005 + 1.63862i
\(141\) 0.0205546 0.00309811i 0.00173101 0.000260908i
\(142\) 0.0181965 + 0.0124062i 0.00152702 + 0.00104110i
\(143\) −1.60370 + 4.08615i −0.134108 + 0.341701i
\(144\) 9.75631 3.00942i 0.813026 0.250785i
\(145\) 13.5066 + 6.50443i 1.12166 + 0.540164i
\(146\) −0.0782458 1.04412i −0.00647567 0.0864118i
\(147\) −0.321601 0.0484735i −0.0265252 0.00399803i
\(148\) 1.25831 + 1.16754i 0.103433 + 0.0959716i
\(149\) −2.22130 0.685179i −0.181976 0.0561321i 0.202428 0.979297i \(-0.435117\pi\)
−0.384404 + 0.923165i \(0.625593\pi\)
\(150\) 1.34120 1.68181i 0.109509 0.137320i
\(151\) −3.04914 + 3.82350i −0.248135 + 0.311152i −0.890264 0.455445i \(-0.849480\pi\)
0.642129 + 0.766597i \(0.278052\pi\)
\(152\) 0.299308 + 0.0923243i 0.0242771 + 0.00748849i
\(153\) −9.86775 9.15594i −0.797760 0.740214i
\(154\) −0.506772 0.0763836i −0.0408369 0.00615517i
\(155\) 2.13422 + 28.4792i 0.171425 + 2.28751i
\(156\) 9.07498 + 4.37028i 0.726580 + 0.349903i
\(157\) −17.4687 + 5.38839i −1.39416 + 0.430040i −0.898689 0.438587i \(-0.855479\pi\)
−0.495467 + 0.868627i \(0.665003\pi\)
\(158\) −0.00931472 + 0.0237335i −0.000741039 + 0.00188814i
\(159\) −7.39627 5.04269i −0.586562 0.399911i
\(160\) −4.28986 + 0.646593i −0.339144 + 0.0511177i
\(161\) −1.59203 6.97513i −0.125469 0.549717i
\(162\) 0.793405 0.540934i 0.0623358 0.0424998i
\(163\) −7.38410 + 6.85144i −0.578367 + 0.536646i −0.914194 0.405278i \(-0.867175\pi\)
0.335827 + 0.941924i \(0.390984\pi\)
\(164\) −6.93276 + 3.33864i −0.541358 + 0.260704i
\(165\) −9.24328 16.0098i −0.719588 1.24636i
\(166\) −0.404011 + 0.699767i −0.0313573 + 0.0543125i
\(167\) −0.122345 + 1.63258i −0.00946733 + 0.126333i −0.999935 0.0114137i \(-0.996367\pi\)
0.990468 + 0.137746i \(0.0439859\pi\)
\(168\) −0.524560 + 2.29825i −0.0404707 + 0.177314i
\(169\) −3.07590 7.83726i −0.236608 0.602866i
\(170\) 1.17970 + 1.47930i 0.0904789 + 0.113457i
\(171\) 2.12916 0.162821
\(172\) 12.4074 4.06147i 0.946054 0.309684i
\(173\) 19.9781 1.51891 0.759453 0.650562i \(-0.225467\pi\)
0.759453 + 0.650562i \(0.225467\pi\)
\(174\) 0.552711 + 0.693078i 0.0419009 + 0.0525421i
\(175\) −9.13033 23.2637i −0.690188 1.75857i
\(176\) −1.80064 + 7.88912i −0.135728 + 0.594665i
\(177\) −0.694264 + 9.26431i −0.0521841 + 0.696348i
\(178\) 0.676714 1.17210i 0.0507218 0.0878528i
\(179\) 8.33106 + 14.4298i 0.622693 + 1.07854i 0.988982 + 0.148035i \(0.0472948\pi\)
−0.366289 + 0.930501i \(0.619372\pi\)
\(180\) −17.6996 + 8.52367i −1.31925 + 0.635317i
\(181\) −19.0185 + 17.6466i −1.41364 + 1.31166i −0.526484 + 0.850185i \(0.676490\pi\)
−0.887152 + 0.461478i \(0.847319\pi\)
\(182\) −0.441885 + 0.301272i −0.0327547 + 0.0223318i
\(183\) −3.30324 14.4724i −0.244182 1.06983i
\(184\) 1.02809 0.154960i 0.0757919 0.0114238i
\(185\) −2.71639 1.85201i −0.199713 0.136162i
\(186\) −0.616986 + 1.57206i −0.0452396 + 0.115269i
\(187\) 10.1949 3.14470i 0.745523 0.229963i
\(188\) 0.0157735 + 0.00759612i 0.00115040 + 0.000554004i
\(189\) −0.190775 2.54572i −0.0138768 0.185174i
\(190\) −0.295930 0.0446042i −0.0214690 0.00323593i
\(191\) −3.45551 3.20625i −0.250032 0.231996i 0.545192 0.838311i \(-0.316457\pi\)
−0.795225 + 0.606315i \(0.792647\pi\)
\(192\) 17.5792 + 5.42246i 1.26867 + 0.391332i
\(193\) 9.91603 12.4343i 0.713772 0.895041i −0.284196 0.958766i \(-0.591727\pi\)
0.997968 + 0.0637249i \(0.0202980\pi\)
\(194\) 0.305562 0.383163i 0.0219381 0.0275095i
\(195\) −18.4346 5.68631i −1.32013 0.407205i
\(196\) −0.200799 0.186314i −0.0143428 0.0133082i
\(197\) 23.4639 + 3.53661i 1.67173 + 0.251973i 0.915497 0.402326i \(-0.131798\pi\)
0.756236 + 0.654299i \(0.227036\pi\)
\(198\) −0.0378328 0.504844i −0.00268866 0.0358777i
\(199\) 5.32234 + 2.56311i 0.377291 + 0.181694i 0.612912 0.790151i \(-0.289998\pi\)
−0.235621 + 0.971845i \(0.575712\pi\)
\(200\) 3.47042 1.07048i 0.245395 0.0756945i
\(201\) −11.0202 + 28.0789i −0.777302 + 1.98053i
\(202\) 0.976599 + 0.665834i 0.0687132 + 0.0468479i
\(203\) 10.1839 1.53497i 0.714769 0.107734i
\(204\) −5.44755 23.8673i −0.381405 1.67104i
\(205\) 12.1768 8.30203i 0.850468 0.579839i
\(206\) 0.402726 0.373675i 0.0280592 0.0260352i
\(207\) 6.36755 3.06645i 0.442575 0.213133i
\(208\) 4.22220 + 7.31307i 0.292757 + 0.507070i
\(209\) −0.843746 + 1.46141i −0.0583632 + 0.101088i
\(210\) 0.168319 2.24605i 0.0116151 0.154992i
\(211\) −1.15048 + 5.04059i −0.0792025 + 0.347009i −0.998966 0.0454644i \(-0.985523\pi\)
0.919763 + 0.392473i \(0.128380\pi\)
\(212\) −2.75446 7.01826i −0.189177 0.482016i
\(213\) 0.340277 + 0.426694i 0.0233154 + 0.0292366i
\(214\) −1.15948 −0.0792605
\(215\) −22.3388 + 11.2338i −1.52350 + 0.766136i
\(216\) 0.370984 0.0252423
\(217\) 12.2329 + 15.3396i 0.830424 + 1.04132i
\(218\) −0.616987 1.57206i −0.0417876 0.106473i
\(219\) 5.77374 25.2964i 0.390153 1.70937i
\(220\) 1.16354 15.5264i 0.0784462 1.04679i
\(221\) 5.56674 9.64187i 0.374459 0.648583i
\(222\) −0.0972053 0.168365i −0.00652399 0.0112999i
\(223\) −2.82436 + 1.36014i −0.189133 + 0.0910818i −0.526054 0.850451i \(-0.676329\pi\)
0.336920 + 0.941533i \(0.390615\pi\)
\(224\) −2.18480 + 2.02720i −0.145978 + 0.135448i
\(225\) 20.3975 13.9068i 1.35983 0.927117i
\(226\) 0.240904 + 1.05547i 0.0160247 + 0.0702086i
\(227\) −18.5881 + 2.80170i −1.23374 + 0.185956i −0.733352 0.679849i \(-0.762045\pi\)
−0.500383 + 0.865804i \(0.666807\pi\)
\(228\) 3.19934 + 2.18127i 0.211881 + 0.144458i
\(229\) 2.99489 7.63084i 0.197908 0.504260i −0.797125 0.603815i \(-0.793647\pi\)
0.995032 + 0.0995547i \(0.0317418\pi\)
\(230\) −0.949259 + 0.292808i −0.0625923 + 0.0193072i
\(231\) −11.4425 5.51043i −0.752863 0.362559i
\(232\) 0.111845 + 1.49247i 0.00734299 + 0.0979854i
\(233\) −6.36645 0.959587i −0.417080 0.0628647i −0.0628498 0.998023i \(-0.520019\pi\)
−0.354230 + 0.935158i \(0.615257\pi\)
\(234\) −0.387276 0.359340i −0.0253170 0.0234908i
\(235\) −0.0320417 0.00988354i −0.00209017 0.000644731i
\(236\) −4.87854 + 6.11750i −0.317566 + 0.398215i
\(237\) −0.393932 + 0.493976i −0.0255887 + 0.0320872i
\(238\) 1.24212 + 0.383142i 0.0805144 + 0.0248354i
\(239\) 21.2757 + 19.7410i 1.37621 + 1.27694i 0.922612 + 0.385730i \(0.126051\pi\)
0.453599 + 0.891206i \(0.350140\pi\)
\(240\) −35.1661 5.30043i −2.26996 0.342141i
\(241\) −0.934176 12.4657i −0.0601756 0.802987i −0.942896 0.333088i \(-0.891909\pi\)
0.882720 0.469899i \(-0.155710\pi\)
\(242\) −0.583858 0.281171i −0.0375318 0.0180744i
\(243\) 19.9455 6.15237i 1.27950 0.394675i
\(244\) 4.56771 11.6383i 0.292418 0.745069i
\(245\) 0.433476 + 0.295539i 0.0276938 + 0.0188813i
\(246\) 0.861755 0.129889i 0.0549435 0.00828140i
\(247\) 0.391855 + 1.71683i 0.0249332 + 0.109239i
\(248\) −2.35578 + 1.60615i −0.149592 + 0.101990i
\(249\) −14.6784 + 13.6196i −0.930206 + 0.863105i
\(250\) −1.48781 + 0.716493i −0.0940975 + 0.0453150i
\(251\) 10.3646 + 17.9520i 0.654207 + 1.13312i 0.982092 + 0.188403i \(0.0603310\pi\)
−0.327884 + 0.944718i \(0.606336\pi\)
\(252\) −6.74806 + 11.6880i −0.425088 + 0.736274i
\(253\) −0.418593 + 5.58574i −0.0263167 + 0.351172i
\(254\) −0.0312787 + 0.137041i −0.00196260 + 0.00859870i
\(255\) 17.1302 + 43.6470i 1.07273 + 2.73328i
\(256\) 9.52508 + 11.9441i 0.595317 + 0.746504i
\(257\) −13.3077 −0.830114 −0.415057 0.909795i \(-0.636238\pi\)
−0.415057 + 0.909795i \(0.636238\pi\)
\(258\) −1.47838 + 0.0253568i −0.0920398 + 0.00157865i
\(259\) −2.25862 −0.140344
\(260\) −10.1305 12.7032i −0.628265 0.787820i
\(261\) 3.71683 + 9.47033i 0.230066 + 0.586199i
\(262\) −0.281857 + 1.23490i −0.0174132 + 0.0762921i
\(263\) −0.267233 + 3.56598i −0.0164783 + 0.219888i 0.982885 + 0.184218i \(0.0589753\pi\)
−0.999364 + 0.0356692i \(0.988644\pi\)
\(264\) 0.922808 1.59835i 0.0567949 0.0983717i
\(265\) 7.22007 + 12.5055i 0.443526 + 0.768209i
\(266\) −0.185239 + 0.0892063i −0.0113577 + 0.00546959i
\(267\) 24.5862 22.8126i 1.50465 1.39611i
\(268\) −20.9907 + 14.3112i −1.28221 + 0.874195i
\(269\) −4.97202 21.7839i −0.303150 1.32818i −0.865343 0.501179i \(-0.832900\pi\)
0.562194 0.827006i \(-0.309957\pi\)
\(270\) −0.350501 + 0.0528295i −0.0213308 + 0.00321510i
\(271\) −24.3576 16.6067i −1.47962 1.00879i −0.990642 0.136489i \(-0.956418\pi\)
−0.488976 0.872297i \(-0.662630\pi\)
\(272\) 7.49828 19.1053i 0.454650 1.15843i
\(273\) −12.6645 + 3.90649i −0.766491 + 0.236431i
\(274\) −0.165000 0.0794597i −0.00996800 0.00480034i
\(275\) 1.46218 + 19.5114i 0.0881727 + 1.17658i
\(276\) 12.7096 + 1.91566i 0.765027 + 0.115309i
\(277\) −12.8398 11.9136i −0.771468 0.715817i 0.192657 0.981266i \(-0.438289\pi\)
−0.964125 + 0.265449i \(0.914480\pi\)
\(278\) 0.513433 + 0.158373i 0.0307937 + 0.00949859i
\(279\) −12.0840 + 15.1529i −0.723452 + 0.907181i
\(280\) 2.37093 2.97305i 0.141690 0.177674i
\(281\) −16.1799 4.99085i −0.965215 0.297729i −0.228206 0.973613i \(-0.573286\pi\)
−0.737009 + 0.675883i \(0.763762\pi\)
\(282\) −0.00145351 0.00134866i −8.65554e−5 8.03117e-5i
\(283\) −16.6158 2.50444i −0.987709 0.148873i −0.364732 0.931113i \(-0.618839\pi\)
−0.622978 + 0.782239i \(0.714077\pi\)
\(284\) 0.0343503 + 0.458373i 0.00203832 + 0.0271994i
\(285\) −6.68186 3.21781i −0.395799 0.190607i
\(286\) 0.400115 0.123419i 0.0236593 0.00729792i
\(287\) 3.69899 9.42488i 0.218345 0.556333i
\(288\) −2.43257 1.65850i −0.143341 0.0977280i
\(289\) −9.94748 + 1.49934i −0.585146 + 0.0881965i
\(290\) −0.318203 1.39414i −0.0186855 0.0818666i
\(291\) 10.0345 6.84143i 0.588235 0.401051i
\(292\) 16.0196 14.8641i 0.937479 0.869853i
\(293\) 14.4540 6.96069i 0.844413 0.406648i 0.0389122 0.999243i \(-0.487611\pi\)
0.805501 + 0.592595i \(0.201896\pi\)
\(294\) 0.0155118 + 0.0268672i 0.000904667 + 0.00156693i
\(295\) 7.49313 12.9785i 0.436267 0.755637i
\(296\) 0.0245283 0.327308i 0.00142568 0.0190244i
\(297\) −0.444748 + 1.94857i −0.0258069 + 0.113067i
\(298\) 0.0810099 + 0.206410i 0.00469278 + 0.0119570i
\(299\) 3.64451 + 4.57007i 0.210767 + 0.264294i
\(300\) 44.8970 2.59213
\(301\) −8.33262 + 15.0217i −0.480284 + 0.865836i
\(302\) 0.466493 0.0268436
\(303\) 18.2625 + 22.9005i 1.04915 + 1.31560i
\(304\) 1.18600 + 3.02189i 0.0680220 + 0.173317i
\(305\) −5.32849 + 23.3456i −0.305109 + 1.33677i
\(306\) −0.0959569 + 1.28046i −0.00548549 + 0.0731988i
\(307\) −4.98469 + 8.63374i −0.284491 + 0.492753i −0.972486 0.232963i \(-0.925158\pi\)
0.687994 + 0.725716i \(0.258491\pi\)
\(308\) −5.34827 9.26348i −0.304746 0.527836i
\(309\) 12.2661 5.90703i 0.697793 0.336039i
\(310\) 1.99699 1.85294i 0.113422 0.105240i
\(311\) −4.45615 + 3.03815i −0.252685 + 0.172278i −0.683038 0.730383i \(-0.739342\pi\)
0.430353 + 0.902661i \(0.358389\pi\)
\(312\) −0.428574 1.87770i −0.0242632 0.106304i
\(313\) 1.76937 0.266690i 0.100011 0.0150742i −0.0988461 0.995103i \(-0.531515\pi\)
0.198857 + 0.980029i \(0.436277\pi\)
\(314\) 1.44079 + 0.982312i 0.0813083 + 0.0554351i
\(315\) 9.44366 24.0621i 0.532090 1.35574i
\(316\) −0.508496 + 0.156850i −0.0286051 + 0.00882352i
\(317\) 8.19248 + 3.94529i 0.460136 + 0.221590i 0.649567 0.760304i \(-0.274950\pi\)
−0.189431 + 0.981894i \(0.560664\pi\)
\(318\) 0.0638116 + 0.851507i 0.00357838 + 0.0477501i
\(319\) −7.97316 1.20176i −0.446411 0.0672857i
\(320\) −21.7537 20.1845i −1.21607 1.12835i
\(321\) −27.4567 8.46927i −1.53248 0.472709i
\(322\) −0.425507 + 0.533568i −0.0237126 + 0.0297346i
\(323\) 2.66857 3.34628i 0.148483 0.186192i
\(324\) 19.1516 + 5.90749i 1.06398 + 0.328194i
\(325\) 14.9676 + 13.8879i 0.830254 + 0.770363i
\(326\) 0.950127 + 0.143209i 0.0526227 + 0.00793160i
\(327\) −3.12748 41.7333i −0.172950 2.30785i
\(328\) 1.32564 + 0.638393i 0.0731961 + 0.0352494i
\(329\) −0.0220126 + 0.00678998i −0.00121359 + 0.000374344i
\(330\) −0.644246 + 1.64151i −0.0354646 + 0.0903623i
\(331\) 18.2599 + 12.4494i 1.00365 + 0.684279i 0.949342 0.314245i \(-0.101751\pi\)
0.0543114 + 0.998524i \(0.482704\pi\)
\(332\) −16.6762 + 2.51353i −0.915226 + 0.137948i
\(333\) −0.496474 2.17519i −0.0272066 0.119200i
\(334\) 0.129031 0.0879716i 0.00706024 0.00481359i
\(335\) 35.6688 33.0958i 1.94879 1.80822i
\(336\) −22.0124 + 10.6006i −1.20087 + 0.578311i
\(337\) −5.14845 8.91738i −0.280454 0.485760i 0.691043 0.722814i \(-0.257152\pi\)
−0.971497 + 0.237054i \(0.923818\pi\)
\(338\) −0.401551 + 0.695507i −0.0218415 + 0.0378306i
\(339\) −2.00488 + 26.7533i −0.108890 + 1.45304i
\(340\) −8.78751 + 38.5006i −0.476570 + 2.08799i
\(341\) −5.61197 14.2991i −0.303905 0.774338i
\(342\) −0.126629 0.158788i −0.00684733 0.00858628i
\(343\) 18.6978 1.00958
\(344\) −2.08638 1.37066i −0.112490 0.0739008i
\(345\) −24.6174 −1.32536
\(346\) −1.18818 1.48992i −0.0638767 0.0800989i
\(347\) −11.4838 29.2603i −0.616485 1.57078i −0.807933 0.589275i \(-0.799414\pi\)
0.191448 0.981503i \(-0.438682\pi\)
\(348\) −4.11711 + 18.0382i −0.220700 + 0.966950i
\(349\) 0.303922 4.05556i 0.0162686 0.217089i −0.983144 0.182831i \(-0.941474\pi\)
0.999413 0.0342584i \(-0.0109069\pi\)
\(350\) −1.19194 + 2.06450i −0.0637120 + 0.110352i
\(351\) 1.04286 + 1.80629i 0.0556637 + 0.0964124i
\(352\) 2.10235 1.01244i 0.112055 0.0539630i
\(353\) 14.2465 13.2188i 0.758264 0.703566i −0.203005 0.979178i \(-0.565071\pi\)
0.961269 + 0.275612i \(0.0888804\pi\)
\(354\) 0.732203 0.499208i 0.0389162 0.0265326i
\(355\) −0.195902 0.858303i −0.0103974 0.0455540i
\(356\) 27.9325 4.21014i 1.48042 0.223137i
\(357\) 26.6149 + 18.1457i 1.40861 + 0.960374i
\(358\) 0.580666 1.47951i 0.0306891 0.0781946i
\(359\) 0.236821 0.0730497i 0.0124990 0.00385542i −0.288499 0.957480i \(-0.593156\pi\)
0.300998 + 0.953625i \(0.402680\pi\)
\(360\) 3.38440 + 1.62984i 0.178373 + 0.0859001i
\(361\) −1.36928 18.2718i −0.0720674 0.961673i
\(362\) 2.44715 + 0.368849i 0.128620 + 0.0193863i
\(363\) −11.7721 10.9229i −0.617873 0.573303i
\(364\) −10.6665 3.29017i −0.559074 0.172452i
\(365\) −26.0964 + 32.7238i −1.36595 + 1.71284i
\(366\) −0.882867 + 1.10708i −0.0461482 + 0.0578680i
\(367\) −1.51236 0.466502i −0.0789447 0.0243512i 0.255031 0.966933i \(-0.417914\pi\)
−0.333976 + 0.942582i \(0.608390\pi\)
\(368\) 7.89909 + 7.32928i 0.411768 + 0.382065i
\(369\) 9.88985 + 1.49065i 0.514845 + 0.0776004i
\(370\) 0.0234358 + 0.312729i 0.00121837 + 0.0162580i
\(371\) 8.93793 + 4.30428i 0.464034 + 0.223467i
\(372\) −33.6816 + 10.3894i −1.74631 + 0.538666i
\(373\) −3.98542 + 10.1547i −0.206357 + 0.525790i −0.996158 0.0875736i \(-0.972089\pi\)
0.789801 + 0.613364i \(0.210184\pi\)
\(374\) −0.840854 0.573285i −0.0434795 0.0296438i
\(375\) −40.4652 + 6.09914i −2.08961 + 0.314958i
\(376\) −0.000744916 0.00326369i −3.84161e−5 0.000168312i
\(377\) −6.95228 + 4.73998i −0.358061 + 0.244122i
\(378\) −0.178508 + 0.165631i −0.00918147 + 0.00851916i
\(379\) −2.17682 + 1.04830i −0.111816 + 0.0538476i −0.488955 0.872309i \(-0.662622\pi\)
0.377140 + 0.926156i \(0.376908\pi\)
\(380\) −3.12312 5.40941i −0.160213 0.277497i
\(381\) −1.74168 + 3.01668i −0.0892289 + 0.154549i
\(382\) −0.0336024 + 0.448393i −0.00171925 + 0.0229418i
\(383\) 3.65105 15.9963i 0.186560 0.817372i −0.791853 0.610712i \(-0.790883\pi\)
0.978413 0.206660i \(-0.0662594\pi\)
\(384\) −2.60621 6.64052i −0.132998 0.338872i
\(385\) 12.7734 + 16.0173i 0.650992 + 0.816318i
\(386\) −1.51707 −0.0772169
\(387\) −16.2985 4.72288i −0.828497 0.240077i
\(388\) 10.2288 0.519287
\(389\) 15.6280 + 19.5969i 0.792373 + 0.993604i 0.999882 + 0.0153710i \(0.00489293\pi\)
−0.207509 + 0.978233i \(0.566536\pi\)
\(390\) 0.672302 + 1.71300i 0.0340433 + 0.0867410i
\(391\) 3.16137 13.8509i 0.159877 0.700468i
\(392\) −0.00391418 + 0.0522311i −0.000197696 + 0.00263807i
\(393\) −15.6945 + 27.1837i −0.791685 + 1.37124i
\(394\) −1.13174 1.96022i −0.0570160 0.0987547i
\(395\) 0.918262 0.442212i 0.0462028 0.0222501i
\(396\) 7.74570 7.18696i 0.389236 0.361158i
\(397\) −4.35664 + 2.97031i −0.218653 + 0.149075i −0.667694 0.744436i \(-0.732718\pi\)
0.449040 + 0.893512i \(0.351766\pi\)
\(398\) −0.125389 0.549367i −0.00628521 0.0275373i
\(399\) −5.03808 + 0.759369i −0.252220 + 0.0380160i
\(400\) 31.0997 + 21.2034i 1.55498 + 1.06017i
\(401\) 6.10988 15.5677i 0.305113 0.777415i −0.693276 0.720672i \(-0.743833\pi\)
0.998389 0.0567429i \(-0.0180715\pi\)
\(402\) 2.74948 0.848101i 0.137131 0.0422994i
\(403\) −14.4424 6.95510i −0.719428 0.346458i
\(404\) 1.84357 + 24.6007i 0.0917208 + 1.22393i
\(405\) −37.9574 5.72116i −1.88612 0.284287i
\(406\) −0.720151 0.668203i −0.0357405 0.0331623i
\(407\) 1.68975 + 0.521220i 0.0837580 + 0.0258359i
\(408\) −2.91862 + 3.65984i −0.144493 + 0.181189i
\(409\) −5.35968 + 6.72082i −0.265019 + 0.332323i −0.896480 0.443084i \(-0.853884\pi\)
0.631461 + 0.775408i \(0.282456\pi\)
\(410\) −1.34335 0.414370i −0.0663435 0.0204643i
\(411\) −3.32682 3.08684i −0.164100 0.152262i
\(412\) 11.3383 + 1.70898i 0.558600 + 0.0841954i
\(413\) −0.769387 10.2668i −0.0378591 0.505194i
\(414\) −0.607392 0.292505i −0.0298517 0.0143758i
\(415\) 30.8654 9.52072i 1.51512 0.467354i
\(416\) 0.889622 2.26672i 0.0436173 0.111135i
\(417\) 11.0014 + 7.50061i 0.538740 + 0.367306i
\(418\) 0.159170 0.0239910i 0.00778526 0.00117344i
\(419\) 4.09507 + 17.9417i 0.200057 + 0.876507i 0.970901 + 0.239483i \(0.0769779\pi\)
−0.770843 + 0.637025i \(0.780165\pi\)
\(420\) 38.8414 26.4816i 1.89526 1.29217i
\(421\) −25.7002 + 23.8463i −1.25255 + 1.16220i −0.272782 + 0.962076i \(0.587944\pi\)
−0.979771 + 0.200123i \(0.935866\pi\)
\(422\) 0.444341 0.213983i 0.0216302 0.0104165i
\(423\) −0.0113778 0.0197070i −0.000553209 0.000958186i
\(424\) −0.720820 + 1.24850i −0.0350061 + 0.0606324i
\(425\) 3.70858 49.4876i 0.179893 2.40050i
\(426\) 0.0115844 0.0507544i 0.000561264 0.00245906i
\(427\) 6.01018 + 15.3137i 0.290853 + 0.741082i
\(428\) −15.0885 18.9204i −0.729329 0.914550i
\(429\) 10.3763 0.500971
\(430\) 2.16637 + 0.997869i 0.104472 + 0.0481215i
\(431\) 6.64041 0.319857 0.159929 0.987129i \(-0.448874\pi\)
0.159929 + 0.987129i \(0.448874\pi\)
\(432\) 2.39727 + 3.00609i 0.115339 + 0.144630i
\(433\) 2.91242 + 7.42073i 0.139962 + 0.356617i 0.983618 0.180267i \(-0.0576962\pi\)
−0.843656 + 0.536885i \(0.819601\pi\)
\(434\) 0.416455 1.82461i 0.0199905 0.0875840i
\(435\) 2.64819 35.3377i 0.126971 1.69431i
\(436\) 17.6238 30.5253i 0.844028 1.46190i
\(437\) 1.12356 + 1.94607i 0.0537474 + 0.0930932i
\(438\) −2.22994 + 1.07388i −0.106551 + 0.0513121i
\(439\) 19.3738 17.9763i 0.924661 0.857960i −0.0655054 0.997852i \(-0.520866\pi\)
0.990167 + 0.139892i \(0.0446755\pi\)
\(440\) −2.45987 + 1.67711i −0.117270 + 0.0799530i
\(441\) 0.0792262 + 0.347113i 0.00377268 + 0.0165292i
\(442\) −1.05015 + 0.158284i −0.0499504 + 0.00752881i
\(443\) −18.2951 12.4734i −0.869228 0.592630i 0.0444757 0.999010i \(-0.485838\pi\)
−0.913704 + 0.406381i \(0.866791\pi\)
\(444\) 1.48242 3.77714i 0.0703525 0.179255i
\(445\) −51.6992 + 15.9471i −2.45078 + 0.755965i
\(446\) 0.269412 + 0.129742i 0.0127570 + 0.00614347i
\(447\) 0.410635 + 5.47955i 0.0194224 + 0.259174i
\(448\) −20.1594 3.03854i −0.952440 0.143557i
\(449\) −3.86371 3.58500i −0.182340 0.169186i 0.583722 0.811954i \(-0.301596\pi\)
−0.766062 + 0.642767i \(0.777786\pi\)
\(450\) −2.25025 0.694111i −0.106078 0.0327207i
\(451\) −4.94233 + 6.19748i −0.232725 + 0.291828i
\(452\) −14.0882 + 17.6660i −0.662651 + 0.830938i
\(453\) 11.0466 + 3.40743i 0.519016 + 0.160095i
\(454\) 1.31445 + 1.21963i 0.0616903 + 0.0572402i
\(455\) 21.1403 + 3.18639i 0.991073 + 0.149380i
\(456\) −0.0553310 0.738341i −0.00259111 0.0345760i
\(457\) −7.71155 3.71369i −0.360731 0.173719i 0.244735 0.969590i \(-0.421299\pi\)
−0.605466 + 0.795871i \(0.707013\pi\)
\(458\) −0.747210 + 0.230484i −0.0349148 + 0.0107698i
\(459\) 1.85203 4.71890i 0.0864455 0.220260i
\(460\) −17.1309 11.6796i −0.798731 0.544565i
\(461\) 26.0294 3.92330i 1.21231 0.182726i 0.488400 0.872620i \(-0.337581\pi\)
0.723911 + 0.689893i \(0.242343\pi\)
\(462\) 0.269575 + 1.18109i 0.0125418 + 0.0549491i
\(463\) −0.386189 + 0.263300i −0.0179477 + 0.0122366i −0.572261 0.820072i \(-0.693933\pi\)
0.554313 + 0.832308i \(0.312981\pi\)
\(464\) −11.3707 + 10.5505i −0.527874 + 0.489795i
\(465\) 60.8236 29.2911i 2.82063 1.35834i
\(466\) 0.307073 + 0.531867i 0.0142249 + 0.0246383i
\(467\) −8.33939 + 14.4443i −0.385901 + 0.668400i −0.991894 0.127070i \(-0.959443\pi\)
0.605993 + 0.795470i \(0.292776\pi\)
\(468\) 0.824013 10.9957i 0.0380900 0.508276i
\(469\) 7.43841 32.5898i 0.343474 1.50486i
\(470\) 0.00116855 + 0.00297741i 5.39011e−5 + 0.000137338i
\(471\) 26.9429 + 33.7854i 1.24146 + 1.55675i
\(472\) 1.49616 0.0688665
\(473\) 9.70048 9.31536i 0.446029 0.428321i
\(474\) 0.0602684 0.00276822
\(475\) 4.89402 + 6.13691i 0.224553 + 0.281581i
\(476\) 9.91172 + 25.2547i 0.454303 + 1.15755i
\(477\) −2.18062 + 9.55394i −0.0998439 + 0.437445i
\(478\) 0.206891 2.76077i 0.00946298 0.126275i
\(479\) −16.6144 + 28.7771i −0.759133 + 1.31486i 0.184160 + 0.982896i \(0.441044\pi\)
−0.943293 + 0.331961i \(0.892290\pi\)
\(480\) 5.12755 + 8.88117i 0.234039 + 0.405368i
\(481\) 1.66258 0.800656i 0.0758071 0.0365068i
\(482\) −0.874108 + 0.811054i −0.0398145 + 0.0369425i
\(483\) −13.9734 + 9.52693i −0.635814 + 0.433491i
\(484\) −3.00968 13.1863i −0.136804 0.599376i
\(485\) −19.3722 + 2.91988i −0.879644 + 0.132585i
\(486\) −1.64507 1.12159i −0.0746218 0.0508763i
\(487\) −6.75202 + 17.2039i −0.305963 + 0.779582i 0.692352 + 0.721560i \(0.256575\pi\)
−0.998315 + 0.0580220i \(0.981521\pi\)
\(488\) −2.28446 + 0.704661i −0.103412 + 0.0318985i
\(489\) 21.4531 + 10.3313i 0.970144 + 0.467197i
\(490\) −0.00373984 0.0499046i −0.000168949 0.00225446i
\(491\) 32.4622 + 4.89288i 1.46500 + 0.220813i 0.832618 0.553847i \(-0.186841\pi\)
0.632378 + 0.774660i \(0.282079\pi\)
\(492\) 13.3337 + 12.3718i 0.601128 + 0.557765i
\(493\) 19.5425 + 6.02806i 0.880149 + 0.271490i
\(494\) 0.104732 0.131330i 0.00471214 0.00590883i
\(495\) −12.6179 + 15.8224i −0.567134 + 0.711163i
\(496\) −28.2375 8.71012i −1.26790 0.391096i
\(497\) −0.443362 0.411380i −0.0198875 0.0184529i
\(498\) 1.88870 + 0.284676i 0.0846347 + 0.0127566i
\(499\) 0.813521 + 10.8557i 0.0364182 + 0.485967i 0.985357 + 0.170506i \(0.0545401\pi\)
−0.948938 + 0.315461i \(0.897841\pi\)
\(500\) −31.0528 14.9542i −1.38872 0.668774i
\(501\) 3.69804 1.14070i 0.165216 0.0509625i
\(502\) 0.722400 1.84065i 0.0322423 0.0821520i
\(503\) −23.3239 15.9020i −1.03996 0.709034i −0.0822059 0.996615i \(-0.526197\pi\)
−0.957756 + 0.287581i \(0.907149\pi\)
\(504\) 2.55182 0.384624i 0.113667 0.0171325i
\(505\) −10.5140 46.0647i −0.467866 2.04985i
\(506\) 0.441468 0.300988i 0.0196257 0.0133805i
\(507\) −14.5890 + 13.5366i −0.647922 + 0.601183i
\(508\) −2.64326 + 1.27293i −0.117276 + 0.0564770i
\(509\) −5.59692 9.69414i −0.248079 0.429685i 0.714914 0.699213i \(-0.246466\pi\)
−0.962993 + 0.269527i \(0.913133\pi\)
\(510\) 2.23630 3.87339i 0.0990251 0.171517i
\(511\) −2.14883 + 28.6742i −0.0950587 + 1.26847i
\(512\) 1.66733 7.30503i 0.0736861 0.322840i
\(513\) 0.292936 + 0.746389i 0.0129334 + 0.0329539i
\(514\) 0.791463 + 0.992463i 0.0349099 + 0.0437757i
\(515\) −21.9614 −0.967736
\(516\) −19.6521 23.7941i −0.865136 1.04748i
\(517\) 0.0180353 0.000793193
\(518\) 0.134329 + 0.168443i 0.00590207 + 0.00740097i
\(519\) −17.2532 43.9605i −0.757333 1.92965i
\(520\) −0.691337 + 3.02895i −0.0303171 + 0.132828i
\(521\) 3.10988 41.4985i 0.136246 1.81808i −0.341827 0.939763i \(-0.611046\pi\)
0.478074 0.878320i \(-0.341335\pi\)
\(522\) 0.485223 0.840431i 0.0212376 0.0367847i
\(523\) −3.42717 5.93602i −0.149859 0.259564i 0.781316 0.624136i \(-0.214549\pi\)
−0.931175 + 0.364572i \(0.881215\pi\)
\(524\) −23.8188 + 11.4705i −1.04053 + 0.501092i
\(525\) −43.3053 + 40.1814i −1.89000 + 1.75366i
\(526\) 0.281837 0.192153i 0.0122887 0.00837826i
\(527\) 8.66952 + 37.9837i 0.377650 + 1.65459i
\(528\) 18.9146 2.85091i 0.823151 0.124070i
\(529\) −12.8405 8.75454i −0.558285 0.380632i
\(530\) 0.503231 1.28221i 0.0218589 0.0556957i
\(531\) 9.71842 2.99773i 0.421743 0.130091i
\(532\) −3.86620 1.86186i −0.167621 0.0807221i
\(533\) 0.618174 + 8.24895i 0.0267761 + 0.357302i
\(534\) −3.16355 0.476829i −0.136900 0.0206344i
\(535\) 33.9769 + 31.5260i 1.46895 + 1.36299i
\(536\) 4.64198 + 1.43186i 0.200503 + 0.0618469i
\(537\) 24.5572 30.7937i 1.05972 1.32885i
\(538\) −1.32889 + 1.66637i −0.0572925 + 0.0718425i
\(539\) −0.269647 0.0831752i −0.0116145 0.00358261i
\(540\) −5.42319 5.03198i −0.233377 0.216542i
\(541\) 15.2983 + 2.30585i 0.657727 + 0.0991363i 0.469421 0.882974i \(-0.344462\pi\)
0.188305 + 0.982111i \(0.439701\pi\)
\(542\) 0.210146 + 2.80420i 0.00902655 + 0.120451i
\(543\) 55.2548 + 26.6093i 2.37121 + 1.14192i
\(544\) −5.65543 + 1.74447i −0.242474 + 0.0747934i
\(545\) −24.6639 + 62.8425i −1.05648 + 2.69188i
\(546\) 1.04455 + 0.712159i 0.0447024 + 0.0304776i
\(547\) −15.2020 + 2.29134i −0.649993 + 0.0979706i −0.465759 0.884912i \(-0.654218\pi\)
−0.184234 + 0.982882i \(0.558980\pi\)
\(548\) −0.850544 3.72648i −0.0363334 0.159187i
\(549\) −13.4269 + 9.15434i −0.573048 + 0.390698i
\(550\) 1.36816 1.26947i 0.0583385 0.0541302i
\(551\) −2.91440 + 1.40350i −0.124158 + 0.0597912i
\(552\) −1.22885 2.12842i −0.0523032 0.0905918i
\(553\) 0.350092 0.606378i 0.0148874 0.0257858i
\(554\) −0.124858 + 1.66611i −0.00530470 + 0.0707863i
\(555\) −1.72932 + 7.57666i −0.0734057 + 0.321611i
\(556\) 4.09705 + 10.4391i 0.173754 + 0.442717i
\(557\) 19.3868 + 24.3103i 0.821445 + 1.03006i 0.998944 + 0.0459389i \(0.0146279\pi\)
−0.177499 + 0.984121i \(0.556801\pi\)
\(558\) 1.84876 0.0782641
\(559\) 0.808647 14.0114i 0.0342021 0.592617i
\(560\) 39.4114 1.66544
\(561\) −15.7241 19.7174i −0.663871 0.832468i
\(562\) 0.590077 + 1.50349i 0.0248909 + 0.0634210i
\(563\) −0.0465986 + 0.204162i −0.00196390 + 0.00860439i −0.975900 0.218217i \(-0.929976\pi\)
0.973936 + 0.226821i \(0.0728332\pi\)
\(564\) 0.00309266 0.0412687i 0.000130224 0.00173772i
\(565\) 21.6385 37.4790i 0.910340 1.57675i
\(566\) 0.801434 + 1.38812i 0.0336868 + 0.0583472i
\(567\) −23.7597 + 11.4421i −0.997812 + 0.480521i
\(568\) 0.0644300 0.0597823i 0.00270342 0.00250841i
\(569\) 10.2124 6.96269i 0.428126 0.291891i −0.330023 0.943973i \(-0.607056\pi\)
0.758149 + 0.652082i \(0.226104\pi\)
\(570\) 0.157418 + 0.689695i 0.00659353 + 0.0288881i
\(571\) 28.3573 4.27418i 1.18672 0.178869i 0.474132 0.880454i \(-0.342762\pi\)
0.712586 + 0.701585i \(0.247524\pi\)
\(572\) 7.22069 + 4.92298i 0.301912 + 0.205840i
\(573\) −4.07094 + 10.3726i −0.170066 + 0.433321i
\(574\) −0.922882 + 0.284671i −0.0385203 + 0.0118820i
\(575\) 23.4747 + 11.3048i 0.978964 + 0.471444i
\(576\) −1.50499 20.0827i −0.0627078 0.836777i
\(577\) −21.1891 3.19374i −0.882112 0.132957i −0.307661 0.951496i \(-0.599546\pi\)
−0.574451 + 0.818539i \(0.694784\pi\)
\(578\) 0.703433 + 0.652691i 0.0292590 + 0.0271484i
\(579\) −35.9245 11.0812i −1.49297 0.460520i
\(580\) 18.6087 23.3345i 0.772682 0.968913i
\(581\) 13.8355 17.3491i 0.573992 0.719763i
\(582\) −1.10701 0.341468i −0.0458871 0.0141543i
\(583\) −5.69350 5.28279i −0.235800 0.218791i
\(584\) −4.13198 0.622796i −0.170983 0.0257715i
\(585\) 1.57822 + 21.0599i 0.0652513 + 0.870718i
\(586\) −1.37875 0.663971i −0.0569557 0.0274284i
\(587\) −35.5182 + 10.9559i −1.46599 + 0.452199i −0.922099 0.386954i \(-0.873527\pi\)
−0.543895 + 0.839153i \(0.683051\pi\)
\(588\) −0.236561 + 0.602748i −0.00975562 + 0.0248569i
\(589\) −5.09160 3.47139i −0.209796 0.143036i
\(590\) −1.41355 + 0.213059i −0.0581951 + 0.00877150i
\(591\) −12.4815 54.6850i −0.513421 2.24944i
\(592\) 2.81068 1.91629i 0.115518 0.0787589i
\(593\) 16.3786 15.1971i 0.672588 0.624071i −0.268081 0.963397i \(-0.586389\pi\)
0.940669 + 0.339326i \(0.110199\pi\)
\(594\) 0.171771 0.0827206i 0.00704785 0.00339407i
\(595\) −25.9809 45.0002i −1.06511 1.84483i
\(596\) −2.31400 + 4.00796i −0.0947849 + 0.164172i
\(597\) 1.04353 13.9250i 0.0427090 0.569912i
\(598\) 0.124073 0.543600i 0.00507373 0.0222294i
\(599\) −7.67327 19.5512i −0.313521 0.798839i −0.997588 0.0694191i \(-0.977885\pi\)
0.684066 0.729420i \(-0.260210\pi\)
\(600\) −5.35261 6.71196i −0.218519 0.274014i
\(601\) 25.2099 1.02833 0.514167 0.857690i \(-0.328101\pi\)
0.514167 + 0.857690i \(0.328101\pi\)
\(602\) 1.61586 0.271970i 0.0658575 0.0110847i
\(603\) 33.0211 1.34472
\(604\) 6.07053 + 7.61221i 0.247006 + 0.309736i
\(605\) 9.46414 + 24.1142i 0.384772 + 0.980383i
\(606\) 0.621727 2.72396i 0.0252559 0.110653i
\(607\) −2.51010 + 33.4949i −0.101882 + 1.35952i 0.678678 + 0.734436i \(0.262553\pi\)
−0.780559 + 0.625082i \(0.785066\pi\)
\(608\) 0.468054 0.810693i 0.0189821 0.0328779i
\(609\) −12.1725 21.0834i −0.493255 0.854342i
\(610\) 2.05798 0.991069i 0.0833250 0.0401272i
\(611\) 0.0137966 0.0128014i 0.000558150 0.000517887i
\(612\) −22.1431 + 15.0969i −0.895082 + 0.610257i
\(613\) −0.400141 1.75313i −0.0161615 0.0708083i 0.966204 0.257778i \(-0.0829904\pi\)
−0.982366 + 0.186970i \(0.940133\pi\)
\(614\) 0.940345 0.141734i 0.0379492 0.00571993i
\(615\) −28.7841 19.6247i −1.16069 0.791344i
\(616\) −0.747240 + 1.90394i −0.0301072 + 0.0767118i
\(617\) 32.6145 10.0602i 1.31301 0.405009i 0.442326 0.896854i \(-0.354154\pi\)
0.870683 + 0.491845i \(0.163677\pi\)
\(618\) −1.17005 0.563464i −0.0470661 0.0226659i
\(619\) 0.351580 + 4.69151i 0.0141312 + 0.188568i 0.999802 + 0.0198885i \(0.00633113\pi\)
−0.985671 + 0.168679i \(0.946050\pi\)
\(620\) 56.2233 + 8.47429i 2.25798 + 0.340336i
\(621\) 1.95103 + 1.81029i 0.0782921 + 0.0726444i
\(622\) 0.491604 + 0.151640i 0.0197115 + 0.00608020i
\(623\) −23.1742 + 29.0596i −0.928456 + 1.16425i
\(624\) 12.4456 15.6063i 0.498223 0.624752i
\(625\) 17.4985 + 5.39756i 0.699938 + 0.215902i
\(626\) −0.125121 0.116095i −0.00500083 0.00464010i
\(627\) 3.94441 + 0.594524i 0.157525 + 0.0237430i
\(628\) 2.71983 + 36.2937i 0.108533 + 1.44827i
\(629\) −4.04089 1.94599i −0.161121 0.0775917i
\(630\) −2.35615 + 0.726776i −0.0938713 + 0.0289554i
\(631\) −0.362038 + 0.922458i −0.0144125 + 0.0367225i −0.937899 0.346909i \(-0.887231\pi\)
0.923486 + 0.383631i \(0.125327\pi\)
\(632\) 0.0840713 + 0.0573189i 0.00334418 + 0.00228002i
\(633\) 12.0851 1.82153i 0.480339 0.0723994i
\(634\) −0.193007 0.845620i −0.00766530 0.0335839i
\(635\) 4.64268 3.16532i 0.184239 0.125612i
\(636\) −13.0645 + 12.1220i −0.518040 + 0.480670i
\(637\) −0.265311 + 0.127767i −0.0105120 + 0.00506231i
\(638\) 0.384570 + 0.666095i 0.0152253 + 0.0263710i
\(639\) 0.298728 0.517413i 0.0118175 0.0204685i
\(640\) −0.859946 + 11.4752i −0.0339923 + 0.453596i
\(641\) −1.41414 + 6.19574i −0.0558551 + 0.244717i −0.995147 0.0984029i \(-0.968627\pi\)
0.939292 + 0.343120i \(0.111484\pi\)
\(642\) 1.00134 + 2.55137i 0.0395196 + 0.100694i
\(643\) −25.4227 31.8790i −1.00257 1.25719i −0.966185 0.257849i \(-0.916986\pi\)
−0.0363877 0.999338i \(-0.511585\pi\)
\(644\) −14.2439 −0.561289
\(645\) 44.0112 + 39.4537i 1.73294 + 1.55349i
\(646\) −0.408269 −0.0160631
\(647\) −15.8901 19.9255i −0.624704 0.783354i 0.364294 0.931284i \(-0.381310\pi\)
−0.988998 + 0.147930i \(0.952739\pi\)
\(648\) −1.40010 3.56739i −0.0550011 0.140140i
\(649\) −1.79365 + 7.85848i −0.0704068 + 0.308472i
\(650\) 0.145549 1.94222i 0.00570892 0.0761802i
\(651\) 23.1893 40.1651i 0.908862 1.57419i
\(652\) 10.0273 + 17.3677i 0.392698 + 0.680173i
\(653\) −30.6683 + 14.7691i −1.20015 + 0.577959i −0.923717 0.383075i \(-0.874865\pi\)
−0.276428 + 0.961035i \(0.589151\pi\)
\(654\) −2.92638 + 2.71528i −0.114430 + 0.106176i
\(655\) 41.8359 28.5232i 1.63466 1.11449i
\(656\) 3.39327 + 14.8669i 0.132485 + 0.580454i
\(657\) −28.0874 + 4.23349i −1.09579 + 0.165164i
\(658\) 0.00181556 + 0.00123783i 7.07778e−5 + 4.82555e-5i
\(659\) −13.9249 + 35.4800i −0.542437 + 1.38211i 0.352458 + 0.935828i \(0.385346\pi\)
−0.894894 + 0.446278i \(0.852749\pi\)
\(660\) −35.1698 + 10.8484i −1.36898 + 0.422275i
\(661\) −18.3116 8.81838i −0.712237 0.342995i 0.0424334 0.999099i \(-0.486489\pi\)
−0.754671 + 0.656104i \(0.772203\pi\)
\(662\) −0.157538 2.10220i −0.00612288 0.0817042i
\(663\) −26.0238 3.92246i −1.01068 0.152336i
\(664\) 2.36390 + 2.19338i 0.0917370 + 0.0851195i
\(665\) 7.85365 + 2.42253i 0.304551 + 0.0939417i
\(666\) −0.132694 + 0.166393i −0.00514180 + 0.00644761i
\(667\) −6.69459 + 8.39475i −0.259216 + 0.325046i
\(668\) 3.11461 + 0.960730i 0.120508 + 0.0371718i
\(669\) 5.43205 + 5.04020i 0.210015 + 0.194866i
\(670\) −4.58958 0.691768i −0.177311 0.0267253i
\(671\) −0.962502 12.8437i −0.0371570 0.495825i
\(672\) 6.34754 + 3.05681i 0.244862 + 0.117919i
\(673\) −31.2428 + 9.63712i −1.20432 + 0.371484i −0.831029 0.556230i \(-0.812247\pi\)
−0.373293 + 0.927714i \(0.621771\pi\)
\(674\) −0.358841 + 0.914312i −0.0138220 + 0.0352180i
\(675\) 7.68144 + 5.23712i 0.295659 + 0.201577i
\(676\) −16.5747 + 2.49823i −0.637488 + 0.0960858i
\(677\) 2.99152 + 13.1067i 0.114973 + 0.503732i 0.999319 + 0.0368987i \(0.0117479\pi\)
−0.884346 + 0.466833i \(0.845395\pi\)
\(678\) 2.11444 1.44160i 0.0812047 0.0553644i
\(679\) −9.86612 + 9.15442i −0.378627 + 0.351314i
\(680\) 6.80335 3.27632i 0.260897 0.125641i
\(681\) 22.2178 + 38.4824i 0.851388 + 1.47465i
\(682\) −0.732629 + 1.26895i −0.0280538 + 0.0485906i
\(683\) 1.41269 18.8510i 0.0540551 0.721315i −0.902672 0.430329i \(-0.858398\pi\)
0.956727 0.290986i \(-0.0939833\pi\)
\(684\) 0.943253 4.13266i 0.0360662 0.158016i
\(685\) 2.67459 + 6.81475i 0.102191 + 0.260378i
\(686\) −1.11203 1.39444i −0.0424575 0.0532400i
\(687\) −19.3776 −0.739301
\(688\) −2.37560 25.7630i −0.0905691 0.982205i
\(689\) −8.10508 −0.308779
\(690\) 1.46409 + 1.83591i 0.0557371 + 0.0698921i
\(691\) 11.9747 + 30.5111i 0.455540 + 1.16070i 0.955590 + 0.294700i \(0.0952198\pi\)
−0.500050 + 0.865997i \(0.666685\pi\)
\(692\) 8.85064 38.7772i 0.336451 1.47409i
\(693\) −1.03899 + 13.8643i −0.0394679 + 0.526662i
\(694\) −1.49919 + 2.59667i −0.0569084 + 0.0985682i
\(695\) −10.7393 18.6010i −0.407365 0.705576i
\(696\) 3.18749 1.53502i 0.120822 0.0581846i
\(697\) 14.7382 13.6750i 0.558249 0.517979i
\(698\) −0.320530 + 0.218534i −0.0121323 + 0.00827163i
\(699\) 3.38660 + 14.8377i 0.128093 + 0.561212i
\(700\) −49.1994 + 7.41562i −1.85956 + 0.280284i
\(701\) −2.39258 1.63123i −0.0903666 0.0616109i 0.517294 0.855808i \(-0.326939\pi\)
−0.607660 + 0.794197i \(0.707892\pi\)
\(702\) 0.0726861 0.185201i 0.00274336 0.00698997i
\(703\) 0.677884 0.209099i 0.0255669 0.00788633i
\(704\) 14.3807 + 6.92540i 0.541995 + 0.261011i
\(705\) 0.00592332 + 0.0790412i 0.000223085 + 0.00297686i
\(706\) −1.83312 0.276299i −0.0689906 0.0103987i
\(707\) −23.7950 22.0786i −0.894905 0.830350i
\(708\) 17.6743 + 5.45180i 0.664241 + 0.204891i
\(709\) 17.2331 21.6097i 0.647204 0.811568i −0.344680 0.938720i \(-0.612012\pi\)
0.991883 + 0.127153i \(0.0405838\pi\)
\(710\) −0.0523594 + 0.0656566i −0.00196501 + 0.00246405i
\(711\) 0.660935 + 0.203872i 0.0247870 + 0.00764578i
\(712\) −3.95950 3.67388i −0.148389 0.137684i
\(713\) −20.2267 3.04868i −0.757496 0.114174i
\(714\) −0.229621 3.06408i −0.00859336 0.114670i
\(715\) −15.0805 7.26239i −0.563979 0.271598i
\(716\) 31.6989 9.77781i 1.18464 0.365414i
\(717\) 25.0649 63.8643i 0.936065 2.38505i
\(718\) −0.0195326 0.0133171i −0.000728950 0.000496990i
\(719\) 13.9296 2.09955i 0.519486 0.0782999i 0.115934 0.993257i \(-0.463014\pi\)
0.403551 + 0.914957i \(0.367776\pi\)
\(720\) 8.66314 + 37.9557i 0.322856 + 1.41452i
\(721\) −12.4658 + 8.49907i −0.464252 + 0.316522i
\(722\) −1.28124 + 1.18881i −0.0476827 + 0.0442430i
\(723\) −26.6233 + 12.8211i −0.990129 + 0.476821i
\(724\) 25.8263 + 44.7324i 0.959826 + 1.66247i
\(725\) −18.7531 + 32.4813i −0.696473 + 1.20633i
\(726\) −0.114475 + 1.52756i −0.00424857 + 0.0566932i
\(727\) 9.48127 41.5401i 0.351641 1.54064i −0.421752 0.906711i \(-0.638585\pi\)
0.773393 0.633927i \(-0.218558\pi\)
\(728\) 0.779782 + 1.98685i 0.0289006 + 0.0736376i
\(729\) −11.9333 14.9639i −0.441974 0.554218i
\(730\) 3.99253 0.147770
\(731\) −27.8503 + 19.6960i −1.03008 + 0.728484i
\(732\) −29.5542 −1.09235
\(733\) 22.9376 + 28.7628i 0.847218 + 1.06238i 0.997280 + 0.0737016i \(0.0234812\pi\)
−0.150062 + 0.988677i \(0.547947\pi\)
\(734\) 0.0551554 + 0.140534i 0.00203582 + 0.00518719i
\(735\) 0.275962 1.20907i 0.0101790 0.0445971i
\(736\) 0.232207 3.09859i 0.00855927 0.114216i
\(737\) −13.0857 + 22.6651i −0.482017 + 0.834878i
\(738\) −0.477018 0.826219i −0.0175593 0.0304136i
\(739\) 20.2360 9.74515i 0.744394 0.358481i −0.0229335 0.999737i \(-0.507301\pi\)
0.767327 + 0.641256i \(0.221586\pi\)
\(740\) −4.79813 + 4.45201i −0.176383 + 0.163659i
\(741\) 3.43937 2.34492i 0.126348 0.0861428i
\(742\) −0.210569 0.922565i −0.00773025 0.0338684i
\(743\) 34.6409 5.22128i 1.27085 0.191550i 0.521230 0.853416i \(-0.325473\pi\)
0.749622 + 0.661866i \(0.230235\pi\)
\(744\) 5.56870 + 3.79667i 0.204158 + 0.139193i
\(745\) 3.23835 8.25118i 0.118644 0.302300i
\(746\) 0.994345 0.306715i 0.0364055 0.0112296i
\(747\) 19.7495 + 9.51087i 0.722597 + 0.347984i
\(748\) −1.58731 21.1812i −0.0580380 0.774463i
\(749\) 31.4867 + 4.74585i 1.15050 + 0.173410i
\(750\) 2.86148 + 2.65507i 0.104487 + 0.0969494i
\(751\) 20.8142 + 6.42033i 0.759521 + 0.234281i 0.650239 0.759730i \(-0.274669\pi\)
0.109282 + 0.994011i \(0.465145\pi\)
\(752\) 0.0216321 0.0271258i 0.000788842 0.000989176i
\(753\) 30.5513 38.3101i 1.11335 1.39610i
\(754\) 0.766977 + 0.236581i 0.0279317 + 0.00861578i
\(755\) −13.6699 12.6838i −0.497498 0.461611i
\(756\) −5.02571 0.757504i −0.182783 0.0275502i
\(757\) −1.77819 23.7283i −0.0646294 0.862420i −0.931466 0.363828i \(-0.881470\pi\)
0.866837 0.498592i \(-0.166149\pi\)
\(758\) 0.207644 + 0.0999962i 0.00754198 + 0.00363203i
\(759\) 12.6526 3.90280i 0.459259 0.141663i
\(760\) −0.436351 + 1.11180i −0.0158281 + 0.0403294i
\(761\) −15.0749 10.2779i −0.546463 0.372572i 0.258395 0.966039i \(-0.416806\pi\)
−0.804858 + 0.593467i \(0.797759\pi\)
\(762\) 0.328562 0.0495228i 0.0119025 0.00179402i
\(763\) 10.3202 + 45.2159i 0.373618 + 1.63693i
\(764\) −7.75413 + 5.28668i −0.280535 + 0.191265i
\(765\) 37.6271 34.9129i 1.36041 1.26228i
\(766\) −1.41011 + 0.679074i −0.0509494 + 0.0245359i
\(767\) 4.20580 + 7.28467i 0.151863 + 0.263034i
\(768\) 18.0562 31.2743i 0.651548 1.12851i
\(769\) −2.88919 + 38.5536i −0.104187 + 1.39028i 0.662887 + 0.748719i \(0.269331\pi\)
−0.767074 + 0.641558i \(0.778288\pi\)
\(770\) 0.434855 1.90522i 0.0156711 0.0686595i
\(771\) 11.4927 +