Properties

Label 216.2.v.b.11.9
Level $216$
Weight $2$
Character 216.11
Analytic conductor $1.725$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(32\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 11.9
Character \(\chi\) \(=\) 216.11
Dual form 216.2.v.b.59.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.03887 - 0.959554i) q^{2} +(0.130423 - 1.72713i) q^{3} +(0.158512 + 1.99371i) q^{4} +(0.588722 + 0.214277i) q^{5} +(-1.79277 + 1.66912i) q^{6} +(-4.57427 - 0.806567i) q^{7} +(1.74840 - 2.22331i) q^{8} +(-2.96598 - 0.450516i) q^{9} +O(q^{10})\) \(q+(-1.03887 - 0.959554i) q^{2} +(0.130423 - 1.72713i) q^{3} +(0.158512 + 1.99371i) q^{4} +(0.588722 + 0.214277i) q^{5} +(-1.79277 + 1.66912i) q^{6} +(-4.57427 - 0.806567i) q^{7} +(1.74840 - 2.22331i) q^{8} +(-2.96598 - 0.450516i) q^{9} +(-0.405997 - 0.787518i) q^{10} +(-1.37081 - 3.76628i) q^{11} +(3.46407 - 0.0137460i) q^{12} +(-0.583330 - 0.695185i) q^{13} +(3.97814 + 5.22718i) q^{14} +(0.446868 - 0.988855i) q^{15} +(-3.94975 + 0.632053i) q^{16} +(2.52763 - 1.45933i) q^{17} +(2.64898 + 3.31405i) q^{18} +(-2.50619 + 4.34085i) q^{19} +(-0.333887 + 1.20771i) q^{20} +(-1.98964 + 7.79518i) q^{21} +(-2.18985 + 5.22805i) q^{22} +(-0.819150 - 4.64563i) q^{23} +(-3.61192 - 3.30969i) q^{24} +(-3.52954 - 2.96164i) q^{25} +(-0.0610627 + 1.28195i) q^{26} +(-1.16493 + 5.06389i) q^{27} +(0.882983 - 9.24761i) q^{28} +(6.21586 + 5.21572i) q^{29} +(-1.41310 + 0.598500i) q^{30} +(4.29253 - 0.756889i) q^{31} +(4.70977 + 3.13337i) q^{32} +(-6.68365 + 1.87637i) q^{33} +(-4.02619 - 0.909343i) q^{34} +(-2.52015 - 1.45501i) q^{35} +(0.428054 - 5.98471i) q^{36} +(3.72940 - 2.15317i) q^{37} +(6.76889 - 2.10476i) q^{38} +(-1.27676 + 0.916820i) q^{39} +(1.50573 - 0.934270i) q^{40} +(-5.41092 - 6.44848i) q^{41} +(9.54688 - 6.18903i) q^{42} +(5.48086 - 1.99487i) q^{43} +(7.29157 - 3.33000i) q^{44} +(-1.64960 - 0.900771i) q^{45} +(-3.60674 + 5.61224i) q^{46} +(1.38464 - 7.85268i) q^{47} +(0.576503 + 6.90418i) q^{48} +(13.6955 + 4.98477i) q^{49} +(0.824893 + 6.46355i) q^{50} +(-2.19079 - 4.55589i) q^{51} +(1.29353 - 1.27318i) q^{52} -3.06833 q^{53} +(6.06929 - 4.14291i) q^{54} -2.51103i q^{55} +(-9.79089 + 8.75982i) q^{56} +(7.17036 + 4.89467i) q^{57} +(-1.45271 - 11.3829i) q^{58} +(-0.537968 + 1.47805i) q^{59} +(2.04232 + 0.734180i) q^{60} +(-3.32732 - 0.586696i) q^{61} +(-5.18567 - 3.33260i) q^{62} +(13.2038 + 4.45304i) q^{63} +(-1.88621 - 7.77446i) q^{64} +(-0.194457 - 0.534265i) q^{65} +(8.74394 + 4.46402i) q^{66} +(9.02325 - 7.57140i) q^{67} +(3.31014 + 4.80804i) q^{68} +(-8.13046 + 0.808885i) q^{69} +(1.22195 + 3.92978i) q^{70} +(-3.19304 - 5.53051i) q^{71} +(-6.18735 + 5.80661i) q^{72} +(-2.18272 + 3.78059i) q^{73} +(-5.94045 - 1.34169i) q^{74} +(-5.57548 + 5.70973i) q^{75} +(-9.05165 - 4.30854i) q^{76} +(3.23271 + 18.3336i) q^{77} +(2.20613 + 0.272659i) q^{78} +(-5.52630 + 6.58598i) q^{79} +(-2.46074 - 0.474238i) q^{80} +(8.59407 + 2.67244i) q^{81} +(-0.566412 + 11.8912i) q^{82} +(6.42426 - 7.65613i) q^{83} +(-15.8567 - 2.73113i) q^{84} +(1.80077 - 0.317525i) q^{85} +(-7.60810 - 3.18677i) q^{86} +(9.81894 - 10.0554i) q^{87} +(-10.7703 - 3.53721i) q^{88} +(-1.88520 - 1.08842i) q^{89} +(0.849389 + 2.51867i) q^{90} +(2.10759 + 3.65046i) q^{91} +(9.13219 - 2.36954i) q^{92} +(-0.747404 - 7.51249i) q^{93} +(-8.97354 + 6.82930i) q^{94} +(-2.40560 + 2.01853i) q^{95} +(6.02602 - 7.72574i) q^{96} +(-0.312612 + 0.113782i) q^{97} +(-9.44477 - 18.3202i) q^{98} +(2.36904 + 11.7883i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192q - 6q^{2} - 12q^{3} - 6q^{4} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 192q - 6q^{2} - 12q^{3} - 6q^{4} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 30q^{11} - 3q^{12} + 9q^{14} - 6q^{16} - 18q^{17} + 63q^{18} - 6q^{19} - 27q^{20} - 18q^{22} - 30q^{24} - 12q^{25} + 18q^{27} - 12q^{28} - 21q^{30} - 36q^{32} - 30q^{33} + 12q^{34} - 18q^{35} - 36q^{36} - 102q^{38} + 9q^{40} + 18q^{41} - 6q^{42} - 42q^{43} - 81q^{44} - 3q^{46} - 81q^{48} - 12q^{49} + 57q^{50} - 18q^{51} + 21q^{52} + 78q^{54} - 69q^{56} - 36q^{57} - 33q^{58} - 84q^{59} - 54q^{60} + 90q^{62} - 51q^{64} - 12q^{65} + 87q^{66} + 30q^{67} + 63q^{68} - 33q^{70} + 12q^{72} - 6q^{73} + 51q^{74} - 96q^{75} + 30q^{76} + 90q^{78} - 12q^{81} - 12q^{82} - 72q^{83} - 48q^{84} + 42q^{86} - 78q^{88} + 144q^{89} + 120q^{90} - 6q^{91} - 3q^{92} - 33q^{94} - 78q^{96} - 42q^{97} + 162q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.03887 0.959554i −0.734594 0.678507i
\(3\) 0.130423 1.72713i 0.0752997 0.997161i
\(4\) 0.158512 + 1.99371i 0.0792560 + 0.996854i
\(5\) 0.588722 + 0.214277i 0.263285 + 0.0958277i 0.470290 0.882512i \(-0.344149\pi\)
−0.207005 + 0.978340i \(0.566372\pi\)
\(6\) −1.79277 + 1.66912i −0.731896 + 0.681417i
\(7\) −4.57427 0.806567i −1.72891 0.304854i −0.781271 0.624192i \(-0.785428\pi\)
−0.947641 + 0.319339i \(0.896539\pi\)
\(8\) 1.74840 2.22331i 0.618152 0.786059i
\(9\) −2.96598 0.450516i −0.988660 0.150172i
\(10\) −0.405997 0.787518i −0.128387 0.249035i
\(11\) −1.37081 3.76628i −0.413316 1.13558i −0.955416 0.295262i \(-0.904593\pi\)
0.542100 0.840314i \(-0.317629\pi\)
\(12\) 3.46407 0.0137460i 0.999992 0.00396811i
\(13\) −0.583330 0.695185i −0.161787 0.192810i 0.679061 0.734082i \(-0.262387\pi\)
−0.840847 + 0.541272i \(0.817943\pi\)
\(14\) 3.97814 + 5.22718i 1.06320 + 1.39702i
\(15\) 0.446868 0.988855i 0.115381 0.255321i
\(16\) −3.94975 + 0.632053i −0.987437 + 0.158013i
\(17\) 2.52763 1.45933i 0.613041 0.353939i −0.161114 0.986936i \(-0.551509\pi\)
0.774155 + 0.632997i \(0.218175\pi\)
\(18\) 2.64898 + 3.31405i 0.624371 + 0.781128i
\(19\) −2.50619 + 4.34085i −0.574959 + 0.995859i 0.421087 + 0.907020i \(0.361649\pi\)
−0.996046 + 0.0888386i \(0.971684\pi\)
\(20\) −0.333887 + 1.20771i −0.0746594 + 0.270051i
\(21\) −1.98964 + 7.79518i −0.434175 + 1.70105i
\(22\) −2.18985 + 5.22805i −0.466877 + 1.11462i
\(23\) −0.819150 4.64563i −0.170805 0.968681i −0.942876 0.333145i \(-0.891890\pi\)
0.772071 0.635536i \(-0.219221\pi\)
\(24\) −3.61192 3.30969i −0.737280 0.675587i
\(25\) −3.52954 2.96164i −0.705909 0.592328i
\(26\) −0.0610627 + 1.28195i −0.0119754 + 0.251410i
\(27\) −1.16493 + 5.06389i −0.224191 + 0.974545i
\(28\) 0.882983 9.24761i 0.166868 1.74763i
\(29\) 6.21586 + 5.21572i 1.15426 + 0.968535i 0.999811 0.0194661i \(-0.00619664\pi\)
0.154445 + 0.988001i \(0.450641\pi\)
\(30\) −1.41310 + 0.598500i −0.257995 + 0.109271i
\(31\) 4.29253 0.756889i 0.770961 0.135941i 0.225688 0.974200i \(-0.427537\pi\)
0.545273 + 0.838258i \(0.316426\pi\)
\(32\) 4.70977 + 3.13337i 0.832578 + 0.553907i
\(33\) −6.68365 + 1.87637i −1.16347 + 0.326634i
\(34\) −4.02619 0.909343i −0.690486 0.155951i
\(35\) −2.52015 1.45501i −0.425982 0.245941i
\(36\) 0.428054 5.98471i 0.0713423 0.997452i
\(37\) 3.72940 2.15317i 0.613109 0.353979i −0.161072 0.986943i \(-0.551495\pi\)
0.774181 + 0.632964i \(0.218162\pi\)
\(38\) 6.76889 2.10476i 1.09806 0.341438i
\(39\) −1.27676 + 0.916820i −0.204445 + 0.146809i
\(40\) 1.50573 0.934270i 0.238076 0.147721i
\(41\) −5.41092 6.44848i −0.845043 1.00708i −0.999817 0.0191334i \(-0.993909\pi\)
0.154774 0.987950i \(-0.450535\pi\)
\(42\) 9.54688 6.18903i 1.47312 0.954988i
\(43\) 5.48086 1.99487i 0.835823 0.304215i 0.111577 0.993756i \(-0.464410\pi\)
0.724247 + 0.689541i \(0.242188\pi\)
\(44\) 7.29157 3.33000i 1.09925 0.502017i
\(45\) −1.64960 0.900771i −0.245908 0.134279i
\(46\) −3.60674 + 5.61224i −0.531785 + 0.827480i
\(47\) 1.38464 7.85268i 0.201971 1.14543i −0.700166 0.713980i \(-0.746891\pi\)
0.902136 0.431451i \(-0.141998\pi\)
\(48\) 0.576503 + 6.90418i 0.0832110 + 0.996532i
\(49\) 13.6955 + 4.98477i 1.95651 + 0.712110i
\(50\) 0.824893 + 6.46355i 0.116657 + 0.914084i
\(51\) −2.19079 4.55589i −0.306773 0.637952i
\(52\) 1.29353 1.27318i 0.179381 0.176559i
\(53\) −3.06833 −0.421467 −0.210734 0.977544i \(-0.567585\pi\)
−0.210734 + 0.977544i \(0.567585\pi\)
\(54\) 6.06929 4.14291i 0.825925 0.563779i
\(55\) 2.51103i 0.338587i
\(56\) −9.79089 + 8.75982i −1.30836 + 1.17058i
\(57\) 7.17036 + 4.89467i 0.949737 + 0.648315i
\(58\) −1.45271 11.3829i −0.190751 1.49465i
\(59\) −0.537968 + 1.47805i −0.0700375 + 0.192426i −0.969773 0.244010i \(-0.921537\pi\)
0.899735 + 0.436436i \(0.143759\pi\)
\(60\) 2.04232 + 0.734180i 0.263663 + 0.0947822i
\(61\) −3.32732 0.586696i −0.426020 0.0751188i −0.0434723 0.999055i \(-0.513842\pi\)
−0.382547 + 0.923936i \(0.624953\pi\)
\(62\) −5.18567 3.33260i −0.658580 0.423241i
\(63\) 13.2038 + 4.45304i 1.66352 + 0.561031i
\(64\) −1.88621 7.77446i −0.235777 0.971807i
\(65\) −0.194457 0.534265i −0.0241194 0.0662675i
\(66\) 8.74394 + 4.46402i 1.07630 + 0.549483i
\(67\) 9.02325 7.57140i 1.10237 0.924994i 0.104783 0.994495i \(-0.466585\pi\)
0.997582 + 0.0695008i \(0.0221406\pi\)
\(68\) 3.31014 + 4.80804i 0.401413 + 0.583060i
\(69\) −8.13046 + 0.808885i −0.978793 + 0.0973783i
\(70\) 1.22195 + 3.92978i 0.146051 + 0.469699i
\(71\) −3.19304 5.53051i −0.378944 0.656350i 0.611965 0.790885i \(-0.290379\pi\)
−0.990909 + 0.134535i \(0.957046\pi\)
\(72\) −6.18735 + 5.80661i −0.729186 + 0.684316i
\(73\) −2.18272 + 3.78059i −0.255469 + 0.442485i −0.965023 0.262166i \(-0.915563\pi\)
0.709554 + 0.704651i \(0.248896\pi\)
\(74\) −5.94045 1.34169i −0.690563 0.155968i
\(75\) −5.57548 + 5.70973i −0.643801 + 0.659302i
\(76\) −9.05165 4.30854i −1.03830 0.494223i
\(77\) 3.23271 + 18.3336i 0.368402 + 2.08931i
\(78\) 2.20613 + 0.272659i 0.249795 + 0.0308725i
\(79\) −5.52630 + 6.58598i −0.621757 + 0.740981i −0.981371 0.192120i \(-0.938464\pi\)
0.359615 + 0.933101i \(0.382908\pi\)
\(80\) −2.46074 0.474238i −0.275119 0.0530214i
\(81\) 8.59407 + 2.67244i 0.954897 + 0.296938i
\(82\) −0.566412 + 11.8912i −0.0625498 + 1.31317i
\(83\) 6.42426 7.65613i 0.705154 0.840370i −0.287945 0.957647i \(-0.592972\pi\)
0.993099 + 0.117277i \(0.0374166\pi\)
\(84\) −15.8567 2.73113i −1.73011 0.297991i
\(85\) 1.80077 0.317525i 0.195321 0.0344404i
\(86\) −7.60810 3.18677i −0.820403 0.343638i
\(87\) 9.81894 10.0554i 1.05270 1.07805i
\(88\) −10.7703 3.53721i −1.14812 0.377068i
\(89\) −1.88520 1.08842i −0.199830 0.115372i 0.396746 0.917928i \(-0.370139\pi\)
−0.596576 + 0.802556i \(0.703473\pi\)
\(90\) 0.849389 + 2.51867i 0.0895334 + 0.265491i
\(91\) 2.10759 + 3.65046i 0.220936 + 0.382672i
\(92\) 9.13219 2.36954i 0.952097 0.247041i
\(93\) −0.747404 7.51249i −0.0775022 0.779009i
\(94\) −8.97354 + 6.82930i −0.925550 + 0.704389i
\(95\) −2.40560 + 2.01853i −0.246809 + 0.207097i
\(96\) 6.02602 7.72574i 0.615028 0.788505i
\(97\) −0.312612 + 0.113782i −0.0317410 + 0.0115528i −0.357842 0.933782i \(-0.616487\pi\)
0.326101 + 0.945335i \(0.394265\pi\)
\(98\) −9.44477 18.3202i −0.954066 1.85062i
\(99\) 2.36904 + 11.7883i 0.238097 + 1.18477i
\(100\) 5.34517 7.50634i 0.534517 0.750634i
\(101\) 1.17640 6.67170i 0.117056 0.663859i −0.868655 0.495417i \(-0.835015\pi\)
0.985712 0.168442i \(-0.0538736\pi\)
\(102\) −2.09566 + 6.83517i −0.207502 + 0.676783i
\(103\) −4.03772 + 11.0936i −0.397849 + 1.09308i 0.565481 + 0.824761i \(0.308690\pi\)
−0.963330 + 0.268319i \(0.913532\pi\)
\(104\) −2.56550 + 0.0814625i −0.251568 + 0.00798805i
\(105\) −2.84167 + 4.16286i −0.277319 + 0.406254i
\(106\) 3.18760 + 2.94423i 0.309607 + 0.285969i
\(107\) 11.7674i 1.13759i 0.822478 + 0.568797i \(0.192591\pi\)
−0.822478 + 0.568797i \(0.807409\pi\)
\(108\) −10.2806 1.51985i −0.989248 0.146248i
\(109\) 4.09964i 0.392674i −0.980536 0.196337i \(-0.937095\pi\)
0.980536 0.196337i \(-0.0629047\pi\)
\(110\) −2.40947 + 2.60864i −0.229734 + 0.248724i
\(111\) −3.23241 6.72199i −0.306807 0.638023i
\(112\) 18.5770 + 0.294554i 1.75536 + 0.0278328i
\(113\) 0.0392698 0.107893i 0.00369419 0.0101497i −0.937832 0.347090i \(-0.887170\pi\)
0.941526 + 0.336940i \(0.109392\pi\)
\(114\) −2.75239 11.9653i −0.257785 1.12065i
\(115\) 0.513202 2.91051i 0.0478563 0.271407i
\(116\) −9.41334 + 13.2194i −0.874007 + 1.22739i
\(117\) 1.41695 + 2.32470i 0.130997 + 0.214919i
\(118\) 1.97715 1.01930i 0.182012 0.0938343i
\(119\) −12.7391 + 4.63666i −1.16779 + 0.425042i
\(120\) −1.41723 2.72244i −0.129375 0.248524i
\(121\) −3.87924 + 3.25507i −0.352658 + 0.295916i
\(122\) 2.89369 + 3.80225i 0.261983 + 0.344239i
\(123\) −11.8431 + 8.50435i −1.06786 + 0.766811i
\(124\) 2.18943 + 8.43808i 0.196617 + 0.757762i
\(125\) −3.00957 5.21273i −0.269184 0.466241i
\(126\) −9.44415 17.2959i −0.841352 1.54084i
\(127\) −10.7644 6.21480i −0.955182 0.551475i −0.0604953 0.998168i \(-0.519268\pi\)
−0.894687 + 0.446694i \(0.852601\pi\)
\(128\) −5.50048 + 9.88659i −0.486178 + 0.873860i
\(129\) −2.73058 9.72636i −0.240414 0.856358i
\(130\) −0.310641 + 0.741625i −0.0272450 + 0.0650448i
\(131\) 0.499778 0.0881243i 0.0436658 0.00769945i −0.151773 0.988415i \(-0.548498\pi\)
0.195438 + 0.980716i \(0.437387\pi\)
\(132\) −4.80037 13.0278i −0.417819 1.13393i
\(133\) 14.9652 17.8348i 1.29765 1.54647i
\(134\) −16.6392 0.792571i −1.43741 0.0684677i
\(135\) −1.77090 + 2.73160i −0.152415 + 0.235099i
\(136\) 1.17476 8.17119i 0.100735 0.700674i
\(137\) 5.79017 6.90045i 0.494687 0.589545i −0.459716 0.888066i \(-0.652049\pi\)
0.954403 + 0.298521i \(0.0964932\pi\)
\(138\) 9.22268 + 6.96129i 0.785087 + 0.592584i
\(139\) 3.21820 + 18.2513i 0.272965 + 1.54806i 0.745354 + 0.666669i \(0.232280\pi\)
−0.472389 + 0.881390i \(0.656608\pi\)
\(140\) 2.50139 5.25507i 0.211406 0.444135i
\(141\) −13.3820 3.41563i −1.12697 0.287648i
\(142\) −1.98966 + 8.80938i −0.166968 + 0.739267i
\(143\) −1.81863 + 3.14995i −0.152081 + 0.263412i
\(144\) 11.9996 0.0952340i 0.999969 0.00793617i
\(145\) 2.54180 + 4.40253i 0.211085 + 0.365610i
\(146\) 5.89525 1.83311i 0.487895 0.151709i
\(147\) 10.3956 23.0039i 0.857413 1.89733i
\(148\) 4.88394 + 7.09402i 0.401458 + 0.583125i
\(149\) −9.83276 + 8.25067i −0.805531 + 0.675921i −0.949537 0.313656i \(-0.898446\pi\)
0.144006 + 0.989577i \(0.454002\pi\)
\(150\) 11.2710 0.581705i 0.920273 0.0474960i
\(151\) 8.03472 + 22.0752i 0.653856 + 1.79645i 0.602989 + 0.797749i \(0.293976\pi\)
0.0508665 + 0.998705i \(0.483802\pi\)
\(152\) 5.26924 + 13.1616i 0.427391 + 1.06754i
\(153\) −8.15435 + 3.18960i −0.659240 + 0.257864i
\(154\) 14.2337 22.1483i 1.14699 1.78476i
\(155\) 2.68929 + 0.474195i 0.216009 + 0.0380882i
\(156\) −2.03025 2.40016i −0.162550 0.192166i
\(157\) 1.30901 3.59647i 0.104470 0.287029i −0.876434 0.481522i \(-0.840084\pi\)
0.980904 + 0.194493i \(0.0623062\pi\)
\(158\) 12.0607 1.53922i 0.959500 0.122454i
\(159\) −0.400180 + 5.29941i −0.0317364 + 0.420271i
\(160\) 2.10134 + 2.85388i 0.166125 + 0.225619i
\(161\) 21.9111i 1.72683i
\(162\) −6.36379 11.0228i −0.499987 0.866033i
\(163\) −9.80547 −0.768023 −0.384012 0.923328i \(-0.625458\pi\)
−0.384012 + 0.923328i \(0.625458\pi\)
\(164\) 11.9987 11.8100i 0.936941 0.922202i
\(165\) −4.33688 0.327496i −0.337625 0.0254955i
\(166\) −14.0205 + 1.78932i −1.08820 + 0.138878i
\(167\) 5.51424 + 2.00702i 0.426705 + 0.155308i 0.546440 0.837498i \(-0.315982\pi\)
−0.119736 + 0.992806i \(0.538205\pi\)
\(168\) 13.8524 + 18.0527i 1.06874 + 1.39279i
\(169\) 2.11442 11.9915i 0.162647 0.922420i
\(170\) −2.17546 1.39807i −0.166850 0.107227i
\(171\) 9.38893 11.7458i 0.717989 0.898223i
\(172\) 4.84597 + 10.6110i 0.369502 + 0.809083i
\(173\) 16.3275 5.94273i 1.24136 0.451817i 0.363885 0.931444i \(-0.381450\pi\)
0.877473 + 0.479627i \(0.159228\pi\)
\(174\) −19.8493 + 1.02444i −1.50477 + 0.0776623i
\(175\) 13.7563 + 16.3941i 1.03988 + 1.23928i
\(176\) 7.79486 + 14.0094i 0.587560 + 1.05600i
\(177\) 2.48263 + 1.12191i 0.186606 + 0.0843283i
\(178\) 0.914081 + 2.93967i 0.0685133 + 0.220338i
\(179\) 2.25513 1.30200i 0.168556 0.0973161i −0.413349 0.910573i \(-0.635641\pi\)
0.581905 + 0.813257i \(0.302308\pi\)
\(180\) 1.53439 3.43161i 0.114367 0.255777i
\(181\) 16.9999 + 9.81488i 1.26359 + 0.729535i 0.973767 0.227546i \(-0.0730701\pi\)
0.289823 + 0.957080i \(0.406403\pi\)
\(182\) 1.31329 5.81471i 0.0973477 0.431015i
\(183\) −1.44726 + 5.67021i −0.106985 + 0.419154i
\(184\) −11.7609 6.30119i −0.867024 0.464530i
\(185\) 2.65695 0.468492i 0.195343 0.0344442i
\(186\) −6.43218 + 8.52169i −0.471630 + 0.624841i
\(187\) −8.96115 7.51930i −0.655304 0.549866i
\(188\) 15.8754 + 1.51582i 1.15784 + 0.110553i
\(189\) 9.41308 22.2240i 0.684701 1.61656i
\(190\) 4.43600 + 0.211299i 0.321821 + 0.0153293i
\(191\) −11.2413 9.43260i −0.813394 0.682519i 0.138021 0.990429i \(-0.455926\pi\)
−0.951415 + 0.307910i \(0.900370\pi\)
\(192\) −13.6735 + 2.24377i −0.986802 + 0.161930i
\(193\) −3.08198 17.4788i −0.221846 1.25815i −0.868624 0.495472i \(-0.834995\pi\)
0.646778 0.762678i \(-0.276116\pi\)
\(194\) 0.433944 + 0.181764i 0.0311554 + 0.0130499i
\(195\) −0.948109 + 0.266172i −0.0678955 + 0.0190610i
\(196\) −7.76727 + 28.0951i −0.554805 + 2.00679i
\(197\) 0.959735 1.66231i 0.0683783 0.118435i −0.829809 0.558047i \(-0.811551\pi\)
0.898188 + 0.439612i \(0.144884\pi\)
\(198\) 8.85037 14.5197i 0.628968 1.03187i
\(199\) 14.5078 8.37608i 1.02843 0.593765i 0.111896 0.993720i \(-0.464308\pi\)
0.916535 + 0.399955i \(0.130974\pi\)
\(200\) −12.7557 + 2.66915i −0.901963 + 0.188737i
\(201\) −11.9000 16.5718i −0.839360 1.16889i
\(202\) −7.62399 + 5.80223i −0.536422 + 0.408243i
\(203\) −24.2262 28.8716i −1.70034 2.02639i
\(204\) 8.73584 5.08997i 0.611631 0.356369i
\(205\) −1.80376 4.95580i −0.125980 0.346128i
\(206\) 14.8395 7.65037i 1.03392 0.533027i
\(207\) 0.336653 + 14.1479i 0.0233990 + 0.983347i
\(208\) 2.74340 + 2.37711i 0.190221 + 0.164823i
\(209\) 19.7844 + 3.48852i 1.36851 + 0.241306i
\(210\) 6.94663 1.59794i 0.479363 0.110268i
\(211\) −6.38063 2.32236i −0.439261 0.159878i 0.112917 0.993604i \(-0.463981\pi\)
−0.552177 + 0.833727i \(0.686203\pi\)
\(212\) −0.486367 6.11735i −0.0334038 0.420141i
\(213\) −9.96837 + 4.79350i −0.683021 + 0.328445i
\(214\) 11.2914 12.2248i 0.771866 0.835670i
\(215\) 3.65416 0.249212
\(216\) 9.22182 + 11.4437i 0.627465 + 0.778644i
\(217\) −20.2457 −1.37437
\(218\) −3.93382 + 4.25900i −0.266432 + 0.288456i
\(219\) 6.24491 + 4.26293i 0.421992 + 0.288062i
\(220\) 5.00626 0.398028i 0.337522 0.0268350i
\(221\) −2.48895 0.905902i −0.167425 0.0609376i
\(222\) −3.09205 + 10.0850i −0.207525 + 0.676858i
\(223\) −27.4675 4.84327i −1.83936 0.324329i −0.857582 0.514348i \(-0.828034\pi\)
−0.981780 + 0.190019i \(0.939145\pi\)
\(224\) −19.0165 18.1316i −1.27059 1.21147i
\(225\) 9.13429 + 10.3743i 0.608953 + 0.691618i
\(226\) −0.144325 + 0.0744054i −0.00960037 + 0.00494937i
\(227\) 7.70763 + 21.1766i 0.511574 + 1.40554i 0.879597 + 0.475720i \(0.157813\pi\)
−0.368023 + 0.929817i \(0.619965\pi\)
\(228\) −8.62196 + 15.0715i −0.571003 + 0.998133i
\(229\) −11.0943 13.2216i −0.733130 0.873710i 0.262706 0.964876i \(-0.415385\pi\)
−0.995836 + 0.0911658i \(0.970941\pi\)
\(230\) −3.32595 + 2.53121i −0.219306 + 0.166903i
\(231\) 32.0862 3.19220i 2.11112 0.210031i
\(232\) 22.4640 4.70062i 1.47483 0.308611i
\(233\) −12.5406 + 7.24033i −0.821564 + 0.474330i −0.850955 0.525238i \(-0.823976\pi\)
0.0293918 + 0.999568i \(0.490643\pi\)
\(234\) 0.758647 3.77471i 0.0495943 0.246761i
\(235\) 2.49782 4.32635i 0.162940 0.282220i
\(236\) −3.03208 0.838262i −0.197372 0.0545662i
\(237\) 10.6541 + 10.4036i 0.692059 + 0.675787i
\(238\) 17.6834 + 7.40697i 1.14625 + 0.480123i
\(239\) −3.39066 19.2294i −0.219324 1.24385i −0.873244 0.487283i \(-0.837988\pi\)
0.653920 0.756563i \(-0.273123\pi\)
\(240\) −1.14001 + 4.18817i −0.0735872 + 0.270345i
\(241\) 1.60322 + 1.34526i 0.103272 + 0.0866558i 0.692962 0.720974i \(-0.256305\pi\)
−0.589689 + 0.807630i \(0.700750\pi\)
\(242\) 7.15345 + 0.340739i 0.459841 + 0.0219036i
\(243\) 5.73653 14.4946i 0.367998 0.929826i
\(244\) 0.642281 6.72670i 0.0411178 0.430633i
\(245\) 6.99475 + 5.86929i 0.446878 + 0.374975i
\(246\) 20.4638 + 2.52916i 1.30473 + 0.161253i
\(247\) 4.47963 0.789880i 0.285032 0.0502588i
\(248\) 5.82225 10.8670i 0.369713 0.690053i
\(249\) −12.3853 12.0941i −0.784886 0.766431i
\(250\) −1.87534 + 8.30321i −0.118607 + 0.525141i
\(251\) 7.71685 + 4.45533i 0.487083 + 0.281218i 0.723364 0.690467i \(-0.242595\pi\)
−0.236280 + 0.971685i \(0.575928\pi\)
\(252\) −6.78510 + 27.0304i −0.427421 + 1.70276i
\(253\) −16.3738 + 9.45345i −1.02942 + 0.594333i
\(254\) 5.21935 + 16.7854i 0.327491 + 1.05321i
\(255\) −0.313546 3.15159i −0.0196350 0.197360i
\(256\) 15.2010 4.99290i 0.950064 0.312056i
\(257\) −7.13593 8.50427i −0.445127 0.530482i 0.496096 0.868268i \(-0.334766\pi\)
−0.941223 + 0.337786i \(0.890322\pi\)
\(258\) −6.49624 + 12.7246i −0.404438 + 0.792198i
\(259\) −18.7959 + 6.84116i −1.16792 + 0.425089i
\(260\) 1.03435 0.472377i 0.0641474 0.0292956i
\(261\) −16.0863 18.2701i −0.995719 1.13089i
\(262\) −0.603765 0.388014i −0.0373007 0.0239716i
\(263\) −3.30401 + 18.7379i −0.203734 + 1.15543i 0.695686 + 0.718346i \(0.255100\pi\)
−0.899420 + 0.437085i \(0.856011\pi\)
\(264\) −7.51393 + 18.1405i −0.462451 + 1.11647i
\(265\) −1.80639 0.657473i −0.110966 0.0403883i
\(266\) −32.6604 + 4.16819i −2.00254 + 0.255568i
\(267\) −2.12572 + 3.11403i −0.130092 + 0.190575i
\(268\) 16.5255 + 16.7896i 1.00945 + 1.02559i
\(269\) −2.37780 −0.144977 −0.0724886 0.997369i \(-0.523094\pi\)
−0.0724886 + 0.997369i \(0.523094\pi\)
\(270\) 4.46086 1.13852i 0.271479 0.0692878i
\(271\) 18.7598i 1.13957i 0.821792 + 0.569787i \(0.192974\pi\)
−0.821792 + 0.569787i \(0.807026\pi\)
\(272\) −9.06113 + 7.36158i −0.549412 + 0.446361i
\(273\) 6.57971 3.16399i 0.398222 0.191494i
\(274\) −12.6366 + 1.61271i −0.763405 + 0.0974274i
\(275\) −6.31601 + 17.3531i −0.380870 + 1.04643i
\(276\) −2.90146 16.0816i −0.174647 0.967996i
\(277\) −4.07892 0.719224i −0.245079 0.0432140i 0.0497594 0.998761i \(-0.484155\pi\)
−0.294838 + 0.955547i \(0.595266\pi\)
\(278\) 14.1698 22.0489i 0.849851 1.32240i
\(279\) −13.0725 + 0.311065i −0.782633 + 0.0186230i
\(280\) −7.64115 + 3.05913i −0.456646 + 0.182818i
\(281\) −5.40819 14.8589i −0.322625 0.886406i −0.989922 0.141614i \(-0.954771\pi\)
0.667297 0.744792i \(-0.267451\pi\)
\(282\) 10.6248 + 16.3892i 0.632695 + 0.975962i
\(283\) 6.74592 5.66050i 0.401003 0.336482i −0.419878 0.907581i \(-0.637927\pi\)
0.820881 + 0.571099i \(0.193483\pi\)
\(284\) 10.5201 7.24264i 0.624252 0.429772i
\(285\) 3.17253 + 4.41805i 0.187925 + 0.261703i
\(286\) 4.91187 1.52733i 0.290445 0.0903129i
\(287\) 19.5499 + 33.8614i 1.15399 + 1.99877i
\(288\) −12.5575 11.4154i −0.739955 0.672656i
\(289\) −4.24072 + 7.34514i −0.249454 + 0.432067i
\(290\) 1.58386 7.01266i 0.0930073 0.411798i
\(291\) 0.155744 + 0.554763i 0.00912988 + 0.0325208i
\(292\) −7.88338 3.75245i −0.461340 0.219595i
\(293\) −1.65024 9.35900i −0.0964083 0.546759i −0.994307 0.106556i \(-0.966018\pi\)
0.897898 0.440203i \(-0.145093\pi\)
\(294\) −32.8732 + 13.9230i −1.91720 + 0.812006i
\(295\) −0.633427 + 0.754889i −0.0368796 + 0.0439514i
\(296\) 1.73331 12.0562i 0.100746 0.700752i
\(297\) 20.6689 2.55418i 1.19933 0.148209i
\(298\) 18.1319 + 0.863676i 1.05036 + 0.0500314i
\(299\) −2.75174 + 3.27940i −0.159137 + 0.189652i
\(300\) −12.2673 10.2108i −0.708254 0.589522i
\(301\) −26.6799 + 4.70439i −1.53781 + 0.271157i
\(302\) 12.8353 30.6431i 0.738589 1.76331i
\(303\) −11.3695 2.90194i −0.653160 0.166712i
\(304\) 7.15517 18.7293i 0.410377 1.07420i
\(305\) −1.83315 1.05837i −0.104966 0.0606021i
\(306\) 11.5319 + 4.51095i 0.659236 + 0.257874i
\(307\) −7.38935 12.7987i −0.421733 0.730462i 0.574376 0.818591i \(-0.305245\pi\)
−0.996109 + 0.0881289i \(0.971911\pi\)
\(308\) −36.0395 + 9.35119i −2.05354 + 0.532833i
\(309\) 18.6334 + 8.42054i 1.06002 + 0.479028i
\(310\) −2.33882 3.07315i −0.132836 0.174543i
\(311\) 22.8823 19.2005i 1.29753 1.08876i 0.306969 0.951720i \(-0.400685\pi\)
0.990565 0.137041i \(-0.0437591\pi\)
\(312\) −0.193904 + 4.44159i −0.0109777 + 0.251456i
\(313\) 4.41539 1.60707i 0.249572 0.0908369i −0.214205 0.976789i \(-0.568716\pi\)
0.463777 + 0.885952i \(0.346494\pi\)
\(314\) −4.81090 + 2.48021i −0.271495 + 0.139966i
\(315\) 6.81920 + 5.45088i 0.384218 + 0.307123i
\(316\) −14.0065 9.97387i −0.787928 0.561074i
\(317\) −1.83138 + 10.3863i −0.102861 + 0.583352i 0.889193 + 0.457533i \(0.151267\pi\)
−0.992053 + 0.125819i \(0.959844\pi\)
\(318\) 5.50081 5.12142i 0.308470 0.287195i
\(319\) 11.1231 30.5604i 0.622773 1.71106i
\(320\) 0.555435 4.98117i 0.0310498 0.278456i
\(321\) 20.3238 + 1.53474i 1.13437 + 0.0856606i
\(322\) 21.0249 22.7628i 1.17167 1.26852i
\(323\) 14.6294i 0.814003i
\(324\) −3.96581 + 17.5577i −0.220323 + 0.975427i
\(325\) 4.18130i 0.231937i
\(326\) 10.1866 + 9.40888i 0.564185 + 0.521109i
\(327\) −7.08062 0.534687i −0.391559 0.0295683i
\(328\) −23.7974 + 0.755639i −1.31399 + 0.0417232i
\(329\) −12.6674 + 34.8035i −0.698378 + 1.91878i
\(330\) 4.19121 + 4.50170i 0.230719 + 0.247810i
\(331\) 2.08554 11.8277i 0.114632 0.650108i −0.872300 0.488971i \(-0.837373\pi\)
0.986932 0.161138i \(-0.0515163\pi\)
\(332\) 16.2824 + 11.5945i 0.893614 + 0.636331i
\(333\) −12.0313 + 4.70610i −0.659314 + 0.257893i
\(334\) −3.80275 7.37625i −0.208077 0.403610i
\(335\) 6.93457 2.52398i 0.378876 0.137900i
\(336\) 2.93160 32.0466i 0.159932 1.74828i
\(337\) −8.14386 + 6.83351i −0.443624 + 0.372245i −0.837064 0.547106i \(-0.815730\pi\)
0.393439 + 0.919351i \(0.371285\pi\)
\(338\) −13.7031 + 10.4287i −0.745348 + 0.567246i
\(339\) −0.181224 0.0818958i −0.00984271 0.00444797i
\(340\) 0.918496 + 3.53989i 0.0498125 + 0.191977i
\(341\) −8.73492 15.1293i −0.473022 0.819298i
\(342\) −21.0246 + 3.19319i −1.13688 + 0.172668i
\(343\) −30.4687 17.5911i −1.64516 0.949832i
\(344\) 5.14751 15.6735i 0.277535 0.845057i
\(345\) −4.95991 1.26597i −0.267033 0.0681573i
\(346\) −22.6646 9.49339i −1.21845 0.510368i
\(347\) 13.6704 2.41047i 0.733868 0.129401i 0.205789 0.978596i \(-0.434024\pi\)
0.528078 + 0.849196i \(0.322913\pi\)
\(348\) 21.6039 + 17.9822i 1.15809 + 0.963947i
\(349\) 13.0999 15.6119i 0.701223 0.835685i −0.291441 0.956589i \(-0.594135\pi\)
0.992664 + 0.120904i \(0.0385792\pi\)
\(350\) 1.44001 30.2314i 0.0769715 1.61593i
\(351\) 4.19988 2.14407i 0.224173 0.114442i
\(352\) 5.34494 22.0336i 0.284886 1.17439i
\(353\) −2.23673 + 2.66563i −0.119049 + 0.141877i −0.822277 0.569087i \(-0.807297\pi\)
0.703228 + 0.710964i \(0.251741\pi\)
\(354\) −1.50260 3.54775i −0.0798624 0.188561i
\(355\) −0.694751 3.94013i −0.0368735 0.209120i
\(356\) 1.87116 3.93106i 0.0991714 0.208346i
\(357\) 6.34665 + 22.6069i 0.335901 + 1.19648i
\(358\) −3.59213 0.811307i −0.189850 0.0428789i
\(359\) 0.993822 1.72135i 0.0524519 0.0908494i −0.838607 0.544736i \(-0.816630\pi\)
0.891059 + 0.453887i \(0.149963\pi\)
\(360\) −4.88685 + 2.09267i −0.257560 + 0.110294i
\(361\) −3.06198 5.30350i −0.161157 0.279132i
\(362\) −8.24279 26.5087i −0.433232 1.39327i
\(363\) 5.11600 + 7.12450i 0.268520 + 0.373940i
\(364\) −6.94387 + 4.78057i −0.363958 + 0.250570i
\(365\) −2.09511 + 1.75801i −0.109663 + 0.0920184i
\(366\) 6.94439 4.50190i 0.362989 0.235318i
\(367\) −1.09533 3.00938i −0.0571755 0.157089i 0.907817 0.419368i \(-0.137748\pi\)
−0.964992 + 0.262279i \(0.915526\pi\)
\(368\) 6.17173 + 17.8313i 0.321723 + 0.929522i
\(369\) 13.1435 + 21.5638i 0.684225 + 1.12256i
\(370\) −3.20978 2.06279i −0.166868 0.107239i
\(371\) 14.0354 + 2.47481i 0.728679 + 0.128486i
\(372\) 14.8592 2.68092i 0.770416 0.138999i
\(373\) 0.734328 2.01755i 0.0380221 0.104465i −0.919229 0.393724i \(-0.871187\pi\)
0.957251 + 0.289259i \(0.0934089\pi\)
\(374\) 2.09432 + 16.4103i 0.108295 + 0.848556i
\(375\) −9.39560 + 4.51807i −0.485187 + 0.233312i
\(376\) −15.0380 16.8081i −0.775528 0.866811i
\(377\) 7.36366i 0.379248i
\(378\) −31.1041 + 14.0555i −1.59982 + 0.722938i
\(379\) 10.2488 0.526447 0.263223 0.964735i \(-0.415214\pi\)
0.263223 + 0.964735i \(0.415214\pi\)
\(380\) −4.40568 4.47609i −0.226007 0.229619i
\(381\) −12.1377 + 17.7809i −0.621834 + 0.910945i
\(382\) 2.62722 + 20.5859i 0.134420 + 1.05327i
\(383\) −20.9591 7.62848i −1.07096 0.389797i −0.254423 0.967093i \(-0.581886\pi\)
−0.816535 + 0.577296i \(0.804108\pi\)
\(384\) 16.3581 + 10.7895i 0.834770 + 0.550599i
\(385\) −2.02531 + 11.4861i −0.103219 + 0.585387i
\(386\) −13.5701 + 21.1156i −0.690697 + 1.07475i
\(387\) −17.1548 + 3.44753i −0.872030 + 0.175248i
\(388\) −0.276400 0.605222i −0.0140321 0.0307255i
\(389\) 8.94456 3.25555i 0.453507 0.165063i −0.105160 0.994455i \(-0.533535\pi\)
0.558667 + 0.829392i \(0.311313\pi\)
\(390\) 1.24037 + 0.633243i 0.0628086 + 0.0320655i
\(391\) −8.85001 10.5470i −0.447564 0.533387i
\(392\) 35.0279 21.7341i 1.76918 1.09774i
\(393\) −0.0870199 0.874676i −0.00438957 0.0441216i
\(394\) −2.59212 + 0.806010i −0.130589 + 0.0406062i
\(395\) −4.66468 + 2.69315i −0.234706 + 0.135507i
\(396\) −23.1269 + 6.59175i −1.16217 + 0.331248i
\(397\) 31.4195 + 18.1401i 1.57690 + 0.910424i 0.995289 + 0.0969571i \(0.0309110\pi\)
0.581612 + 0.813467i \(0.302422\pi\)
\(398\) −23.1091 5.21934i −1.15835 0.261622i
\(399\) −28.8513 28.1729i −1.44437 1.41041i
\(400\) 15.8127 + 9.46687i 0.790636 + 0.473343i
\(401\) 32.5501 5.73946i 1.62547 0.286615i 0.714673 0.699459i \(-0.246576\pi\)
0.910802 + 0.412844i \(0.135465\pi\)
\(402\) −3.53901 + 28.6347i −0.176510 + 1.42817i
\(403\) −3.03014 2.54259i −0.150942 0.126655i
\(404\) 13.4879 + 1.28786i 0.671048 + 0.0640732i
\(405\) 4.48688 + 3.41484i 0.222955 + 0.169685i
\(406\) −2.53598 + 53.2403i −0.125859 + 2.64227i
\(407\) −13.2217 11.0944i −0.655377 0.549927i
\(408\) −13.9595 3.09469i −0.691099 0.153210i
\(409\) 3.81109 + 21.6138i 0.188446 + 1.06873i 0.921447 + 0.388504i \(0.127008\pi\)
−0.733001 + 0.680228i \(0.761881\pi\)
\(410\) −2.88148 + 6.87925i −0.142306 + 0.339742i
\(411\) −11.1628 10.9004i −0.550622 0.537675i
\(412\) −22.7573 6.29158i −1.12117 0.309964i
\(413\) 3.65296 6.32711i 0.179750 0.311337i
\(414\) 13.2259 15.0209i 0.650019 0.738237i
\(415\) 5.42264 3.13076i 0.266187 0.153683i
\(416\) −0.569076 5.10196i −0.0279012 0.250144i
\(417\) 31.9422 3.17787i 1.56422 0.155621i
\(418\) −17.2060 22.6083i −0.841574 1.10581i
\(419\) 10.2635 + 12.2316i 0.501405 + 0.597551i 0.956080 0.293106i \(-0.0946890\pi\)
−0.454675 + 0.890658i \(0.650245\pi\)
\(420\) −8.74997 5.00561i −0.426955 0.244249i
\(421\) 9.89676 + 27.1911i 0.482338 + 1.32521i 0.907483 + 0.420088i \(0.138001\pi\)
−0.425145 + 0.905125i \(0.639777\pi\)
\(422\) 4.40023 + 8.53519i 0.214200 + 0.415487i
\(423\) −7.64457 + 22.6671i −0.371692 + 1.10211i
\(424\) −5.36466 + 6.82184i −0.260531 + 0.331298i
\(425\) −13.2434 2.33517i −0.642399 0.113272i
\(426\) 14.9555 + 4.58535i 0.724595 + 0.222161i
\(427\) 14.7468 + 5.36741i 0.713650 + 0.259747i
\(428\) −23.4607 + 1.86527i −1.13402 + 0.0901612i
\(429\) 5.20320 + 3.55184i 0.251213 + 0.171484i
\(430\) −3.79621 3.50636i −0.183069 0.169092i
\(431\) 30.7042 1.47897 0.739484 0.673174i \(-0.235070\pi\)
0.739484 + 0.673174i \(0.235070\pi\)
\(432\) 1.40054 20.7374i 0.0673837 0.997727i
\(433\) 24.3318 1.16931 0.584657 0.811281i \(-0.301229\pi\)
0.584657 + 0.811281i \(0.301229\pi\)
\(434\) 21.0327 + 19.4268i 1.00960 + 0.932517i
\(435\) 7.93526 3.81584i 0.380467 0.182955i
\(436\) 8.17348 0.649842i 0.391439 0.0311218i
\(437\) 22.2189 + 8.08703i 1.06288 + 0.386855i
\(438\) −2.39715 10.4210i −0.114540 0.497933i
\(439\) 15.6481 + 2.75919i 0.746844 + 0.131689i 0.534102 0.845420i \(-0.320650\pi\)
0.212741 + 0.977109i \(0.431761\pi\)
\(440\) −5.58279 4.39027i −0.266149 0.209298i
\(441\) −38.3750 20.9548i −1.82738 0.997847i
\(442\) 1.71644 + 3.32940i 0.0816425 + 0.158363i
\(443\) −7.27214 19.9800i −0.345510 0.949280i −0.983766 0.179456i \(-0.942566\pi\)
0.638256 0.769824i \(-0.279656\pi\)
\(444\) 12.8893 7.51000i 0.611699 0.356409i
\(445\) −0.876633 1.04473i −0.0415564 0.0495250i
\(446\) 23.8879 + 31.3881i 1.13112 + 1.48627i
\(447\) 12.9676 + 18.0586i 0.613346 + 0.854141i
\(448\) 2.35742 + 37.0838i 0.111378 + 1.75205i
\(449\) 10.3738 5.98931i 0.489569 0.282653i −0.234827 0.972037i \(-0.575452\pi\)
0.724396 + 0.689384i \(0.242119\pi\)
\(450\) 0.465316 19.5424i 0.0219352 0.921237i
\(451\) −16.8694 + 29.2187i −0.794350 + 1.37585i
\(452\) 0.221331 + 0.0611902i 0.0104106 + 0.00287814i
\(453\) 39.1747 10.9979i 1.84059 0.516727i
\(454\) 12.3128 29.3956i 0.577868 1.37961i
\(455\) 0.458576 + 2.60072i 0.0214984 + 0.121923i
\(456\) 23.4190 7.38410i 1.09670 0.345792i
\(457\) −19.6891 16.5211i −0.921015 0.772823i 0.0531674 0.998586i \(-0.483068\pi\)
−0.974182 + 0.225762i \(0.927513\pi\)
\(458\) −1.16134 + 24.3811i −0.0542660 + 1.13926i
\(459\) 4.44535 + 14.4997i 0.207491 + 0.676786i
\(460\) 5.88406 + 0.561824i 0.274346 + 0.0261952i
\(461\) −19.7573 16.5784i −0.920190 0.772131i 0.0538400 0.998550i \(-0.482854\pi\)
−0.974030 + 0.226418i \(0.927298\pi\)
\(462\) −36.3966 27.4722i −1.69332 1.27812i
\(463\) 23.8682 4.20861i 1.10925 0.195591i 0.411133 0.911575i \(-0.365133\pi\)
0.698116 + 0.715985i \(0.254022\pi\)
\(464\) −27.8477 16.6720i −1.29280 0.773980i
\(465\) 1.16974 4.58292i 0.0542455 0.212528i
\(466\) 19.9756 + 4.51162i 0.925352 + 0.208997i
\(467\) 1.80364 + 1.04133i 0.0834624 + 0.0481870i 0.541150 0.840926i \(-0.317989\pi\)
−0.457688 + 0.889113i \(0.651322\pi\)
\(468\) −4.41018 + 3.19348i −0.203861 + 0.147619i
\(469\) −47.3816 + 27.3558i −2.18788 + 1.26317i
\(470\) −6.74629 + 2.09773i −0.311183 + 0.0967613i
\(471\) −6.04085 2.72989i −0.278348 0.125787i
\(472\) 2.34559 + 3.78030i 0.107965 + 0.174002i
\(473\) −15.0265 17.9079i −0.690918 0.823404i
\(474\) −1.08544 21.0312i −0.0498558 0.965996i
\(475\) 21.7017 7.89878i 0.995744 0.362421i
\(476\) −11.2634 24.6631i −0.516259 1.13043i
\(477\) 9.10060 + 1.38233i 0.416688 + 0.0632925i
\(478\) −14.9292 + 23.2304i −0.682845 + 1.06253i
\(479\) −2.00257 + 11.3572i −0.0914999 + 0.518922i 0.904264 + 0.426974i \(0.140420\pi\)
−0.995764 + 0.0919478i \(0.970691\pi\)
\(480\) 5.20310 3.25708i 0.237488 0.148665i
\(481\) −3.67232 1.33661i −0.167443 0.0609444i
\(482\) −0.374690 2.93593i −0.0170667 0.133728i
\(483\) 37.8434 + 2.85771i 1.72193 + 0.130030i
\(484\) −7.10457 7.21811i −0.322935 0.328096i
\(485\) −0.208423 −0.00946398
\(486\) −19.8678 + 9.55349i −0.901223 + 0.433355i
\(487\) 29.2353i 1.32478i −0.749160 0.662389i \(-0.769542\pi\)
0.749160 0.662389i \(-0.230458\pi\)
\(488\) −7.12189 + 6.37188i −0.322393 + 0.288442i
\(489\) −1.27886 + 16.9353i −0.0578320 + 0.765843i
\(490\) −1.63475 12.8093i −0.0738504 0.578664i
\(491\) −1.76088 + 4.83798i −0.0794674 + 0.218335i −0.973064 0.230537i \(-0.925952\pi\)
0.893596 + 0.448872i \(0.148174\pi\)
\(492\) −18.8325 22.2636i −0.849033 1.00372i
\(493\) 23.3228 + 4.11245i 1.05041 + 0.185215i
\(494\) −5.41170 3.47786i −0.243484 0.156476i
\(495\) −1.13126 + 7.44765i −0.0508462 + 0.334747i
\(496\) −16.4760 + 5.70263i −0.739795 + 0.256056i
\(497\) 10.1451 + 27.8734i 0.455070 + 1.25029i
\(498\) 1.26181 + 24.4486i 0.0565430 + 1.09557i
\(499\) −19.4599 + 16.3288i −0.871144 + 0.730977i −0.964339 0.264671i \(-0.914737\pi\)
0.0931946 + 0.995648i \(0.470292\pi\)
\(500\) 9.91561 6.82649i 0.443440 0.305290i
\(501\) 4.18557 9.26207i 0.186998 0.413799i
\(502\) −3.74170 12.0333i −0.167000 0.537070i
\(503\) 3.28486 + 5.68954i 0.146465 + 0.253684i 0.929918 0.367766i \(-0.119877\pi\)
−0.783454 + 0.621450i \(0.786544\pi\)
\(504\) 32.9860 21.5705i 1.46931 0.960826i
\(505\) 2.12217 3.67570i 0.0944352 0.163567i
\(506\) 26.0814 + 5.89067i 1.15946 + 0.261872i
\(507\) −20.4351 5.21584i −0.907554 0.231644i
\(508\) 10.6842 22.4461i 0.474036 0.995885i
\(509\) −0.0426035 0.241616i −0.00188837 0.0107095i 0.983849 0.179000i \(-0.0572863\pi\)
−0.985737 + 0.168291i \(0.946175\pi\)
\(510\) −2.69839 + 3.57496i −0.119487 + 0.158302i
\(511\) 13.0337 15.5329i 0.576576 0.687136i
\(512\) −20.5829 9.39921i −0.909643 0.415390i
\(513\) −19.0620 17.7479i −0.841609 0.783587i
\(514\) −0.746986 + 15.6822i −0.0329481 + 0.691711i
\(515\) −4.75419 + 5.66583i −0.209495 + 0.249666i
\(516\) 18.9587 6.98572i 0.834610 0.307529i
\(517\) −31.4735 + 5.54962i −1.38420 + 0.244072i
\(518\) 26.0910 + 10.9286i 1.14637 + 0.480176i
\(519\) −8.13440 28.9749i −0.357061 1.27185i
\(520\) −1.52783 0.501771i −0.0669996 0.0220041i
\(521\) 29.9500 + 17.2916i 1.31213 + 0.757560i 0.982449 0.186532i \(-0.0597248\pi\)
0.329683 + 0.944092i \(0.393058\pi\)
\(522\) −0.819465 + 34.4160i −0.0358670 + 1.50635i
\(523\) 12.9546 + 22.4380i 0.566466 + 0.981147i 0.996912 + 0.0785309i \(0.0250229\pi\)
−0.430446 + 0.902616i \(0.641644\pi\)
\(524\) 0.254915 + 0.982442i 0.0111360 + 0.0429182i
\(525\) 30.1090 21.6208i 1.31407 0.943610i
\(526\) 21.4125 16.2960i 0.933630 0.710538i
\(527\) 9.74539 8.17735i 0.424516 0.356211i
\(528\) 25.2128 11.6356i 1.09725 0.506375i
\(529\) 0.702032 0.255519i 0.0305231 0.0111095i
\(530\) 1.24573 + 2.41636i 0.0541111 + 0.104960i
\(531\) 2.26149 4.14152i 0.0981402 0.179727i
\(532\) 37.9296 + 27.0092i 1.64445 + 1.17100i
\(533\) −1.32654 + 7.52318i −0.0574588 + 0.325865i
\(534\) 5.19643 1.19534i 0.224871 0.0517274i
\(535\) −2.52148 + 6.92771i −0.109013 + 0.299511i
\(536\) −1.05735 33.2993i −0.0456707 1.43831i
\(537\) −1.95461 4.06472i −0.0843475 0.175406i
\(538\) 2.47023 + 2.28163i 0.106499 + 0.0983681i
\(539\) 58.4144i 2.51609i
\(540\) −5.72673 3.09766i −0.246439 0.133302i
\(541\) 12.5921i 0.541376i 0.962667 + 0.270688i \(0.0872512\pi\)
−0.962667 + 0.270688i \(0.912749\pi\)
\(542\) 18.0010 19.4890i 0.773210 0.837124i
\(543\) 19.1688 28.0810i 0.822611 1.20507i
\(544\) 16.4772 + 1.04691i 0.706454 + 0.0448857i
\(545\) 0.878460 2.41355i 0.0376291 0.103385i
\(546\) −9.87150 3.02660i −0.422461 0.129527i
\(547\) −3.19463 + 18.1176i −0.136592 + 0.774654i 0.837145 + 0.546981i \(0.184223\pi\)
−0.973738 + 0.227673i \(0.926888\pi\)
\(548\) 14.6753 + 10.4501i 0.626898 + 0.446406i
\(549\) 9.60445 + 3.23914i 0.409908 + 0.138243i
\(550\) 23.2128 11.9671i 0.989796 0.510279i
\(551\) −38.2188 + 13.9105i −1.62817 + 0.592607i
\(552\) −12.4169 + 19.4908i −0.528498 + 0.829583i
\(553\) 30.5908 25.6687i 1.30085 1.09155i
\(554\) 3.54734 + 4.66113i 0.150712 + 0.198032i
\(555\) −0.462621 4.65001i −0.0196372 0.197382i
\(556\) −35.8777 + 9.30922i −1.52156 + 0.394799i
\(557\) −8.10237 14.0337i −0.343308 0.594628i 0.641737 0.766925i \(-0.278214\pi\)
−0.985045 + 0.172298i \(0.944881\pi\)
\(558\) 13.8792 + 12.2207i 0.587553 + 0.517342i
\(559\) −4.58395 2.64655i −0.193881 0.111937i
\(560\) 10.8736 + 4.15404i 0.459493 + 0.175540i
\(561\) −14.1556 + 14.4964i −0.597649 + 0.612039i
\(562\) −8.63947 + 20.6259i −0.364434 + 0.870052i
\(563\) 18.5122 3.26419i 0.780194 0.137569i 0.230653 0.973036i \(-0.425914\pi\)
0.549541 + 0.835467i \(0.314803\pi\)
\(564\) 4.68855 27.2213i 0.197424 1.14622i
\(565\) 0.0462380 0.0551042i 0.00194525 0.00231825i
\(566\) −12.4397 0.592539i −0.522880 0.0249063i
\(567\) −37.1561 19.1562i −1.56041 0.804483i
\(568\) −17.8787 2.57041i −0.750175 0.107852i
\(569\) −11.3736 + 13.5546i −0.476807 + 0.568237i −0.949811 0.312823i \(-0.898725\pi\)
0.473004 + 0.881060i \(0.343170\pi\)
\(570\) 0.943498 7.63401i 0.0395188 0.319753i
\(571\) −6.91365 39.2093i −0.289327 1.64086i −0.689405 0.724376i \(-0.742128\pi\)
0.400078 0.916481i \(-0.368983\pi\)
\(572\) −6.56836 3.12651i −0.274637 0.130726i
\(573\) −17.7575 + 18.1851i −0.741830 + 0.759692i
\(574\) 12.1820 53.9368i 0.508466 2.25128i
\(575\) −10.8675 + 18.8230i −0.453204 + 0.784973i
\(576\) 2.09195 + 23.9087i 0.0871647 + 0.996194i
\(577\) 1.07337 + 1.85913i 0.0446850 + 0.0773967i 0.887503 0.460802i \(-0.152438\pi\)
−0.842818 + 0.538199i \(0.819105\pi\)
\(578\) 11.4536 3.56147i 0.476408 0.148137i
\(579\) −30.5901 + 3.04336i −1.27128 + 0.126478i
\(580\) −8.37445 + 5.76546i −0.347730 + 0.239398i
\(581\) −35.5615 + 29.8396i −1.47534 + 1.23796i
\(582\) 0.370527 0.725773i 0.0153588 0.0300842i
\(583\) 4.20611 + 11.5562i 0.174199 + 0.478608i
\(584\) 4.58915 + 11.4628i 0.189901 + 0.474336i
\(585\) 0.336060 + 1.67223i 0.0138944 + 0.0691380i
\(586\) −7.26607 + 11.3063i −0.300159 + 0.467059i
\(587\) −34.2197 6.03386i −1.41240 0.249044i −0.585171 0.810910i \(-0.698973\pi\)
−0.827228 + 0.561866i \(0.810084\pi\)
\(588\) 47.5109 + 17.0794i 1.95932 + 0.704341i
\(589\) −7.47236 + 20.5301i −0.307893 + 0.845930i
\(590\) 1.38241 0.176426i 0.0569128 0.00726334i
\(591\) −2.74586 1.87439i −0.112950 0.0771022i
\(592\) −13.3693 + 10.8616i −0.549473 + 0.446411i
\(593\) 41.3775i 1.69917i −0.527450 0.849586i \(-0.676852\pi\)
0.527450 0.849586i \(-0.323148\pi\)
\(594\) −23.9232 17.1795i −0.981582 0.704882i
\(595\) −8.49333 −0.348193
\(596\) −18.0080 18.2958i −0.737638 0.749426i
\(597\) −12.5745 26.1493i −0.514638 1.07022i
\(598\) 6.00547 0.766431i 0.245582 0.0313417i
\(599\) 31.9356 + 11.6236i 1.30485 + 0.474928i 0.898575 0.438821i \(-0.144604\pi\)
0.406280 + 0.913749i \(0.366826\pi\)
\(600\) 2.94634 + 22.3789i 0.120284 + 0.913614i
\(601\) −0.244918 + 1.38900i −0.00999041 + 0.0566584i −0.989395 0.145247i \(-0.953602\pi\)
0.979405 + 0.201906i \(0.0647134\pi\)
\(602\) 32.2312 + 20.7136i 1.31364 + 0.844222i
\(603\) −30.1738 + 18.3915i −1.22877 + 0.748960i
\(604\) −42.7379 + 19.5181i −1.73898 + 0.794179i
\(605\) −2.98128 + 1.08510i −0.121206 + 0.0441155i
\(606\) 9.02687 + 13.9244i 0.366692 + 0.565640i
\(607\) −0.276419 0.329424i −0.0112195 0.0133709i 0.760406 0.649449i \(-0.225000\pi\)
−0.771625 + 0.636078i \(0.780556\pi\)
\(608\) −25.4051 + 12.5916i −1.03031 + 0.510656i
\(609\) −53.0248 + 38.0763i −2.14867 + 1.54293i
\(610\) 0.888847 + 2.85852i 0.0359884 + 0.115738i
\(611\) −6.26677 + 3.61812i −0.253526 + 0.146374i
\(612\) −7.65170 15.7518i −0.309302 0.636729i
\(613\) 11.9125 + 6.87769i 0.481142 + 0.277787i 0.720892 0.693047i \(-0.243732\pi\)
−0.239750 + 0.970835i \(0.577066\pi\)
\(614\) −4.60448 + 20.3867i −0.185822 + 0.822742i
\(615\) −8.79458 + 2.46899i −0.354632 + 0.0995593i
\(616\) 46.4134 + 24.8671i 1.87005 + 1.00193i
\(617\) −16.8375 + 2.96891i −0.677854 + 0.119524i −0.501967 0.864887i \(-0.667390\pi\)
−0.175886 + 0.984410i \(0.556279\pi\)
\(618\) −11.2778 26.6277i −0.453660 1.07112i
\(619\) 20.7852 + 17.4409i 0.835429 + 0.701008i 0.956531 0.291632i \(-0.0941982\pi\)
−0.121101 + 0.992640i \(0.538643\pi\)
\(620\) −0.519121 + 5.43683i −0.0208484 + 0.218348i
\(621\) 24.4792 + 1.26377i 0.982317 + 0.0507132i
\(622\) −42.1957 2.00990i −1.69189 0.0805896i
\(623\) 7.74551 + 6.49925i 0.310317 + 0.260387i
\(624\) 4.46339 4.42819i 0.178679 0.177269i
\(625\) 3.34558 + 18.9737i 0.133823 + 0.758949i
\(626\) −6.12909 2.56726i −0.244968 0.102608i
\(627\) 8.60547 33.7153i 0.343669 1.34646i
\(628\) 7.37780 + 2.03970i 0.294406 + 0.0813927i
\(629\) 6.28436 10.8848i 0.250574 0.434006i
\(630\) −1.85386 12.2062i −0.0738594 0.486305i
\(631\) 36.5260 21.0883i 1.45408 0.839512i 0.455369 0.890303i \(-0.349507\pi\)
0.998709 + 0.0507908i \(0.0161742\pi\)
\(632\) 4.98052 + 23.8016i 0.198114 + 0.946776i
\(633\) −4.84320 + 10.7173i −0.192500 + 0.425975i
\(634\) 11.8688 9.03271i 0.471369 0.358735i
\(635\) −5.00552 5.96535i −0.198638 0.236728i
\(636\) −10.6289 + 0.0421771i −0.421464 + 0.00167243i
\(637\) −4.52368 12.4287i −0.179235 0.492443i
\(638\) −40.8799 + 21.0752i −1.61845 + 0.834375i
\(639\) 6.97891 + 17.8419i 0.276081 + 0.705814i
\(640\) −5.35673 + 4.64183i −0.211743 + 0.183484i
\(641\) −27.2082 4.79753i −1.07466 0.189491i −0.391806 0.920048i \(-0.628150\pi\)
−0.682852 + 0.730557i \(0.739261\pi\)
\(642\) −19.6412 21.0962i −0.775176 0.832601i
\(643\) −6.31128 2.29712i −0.248892 0.0905894i 0.214561 0.976711i \(-0.431168\pi\)
−0.463454 + 0.886121i \(0.653390\pi\)
\(644\) −43.6843 + 3.47317i −1.72140 + 0.136862i
\(645\) 0.476586 6.31122i 0.0187656 0.248504i
\(646\) 14.0377 15.1981i 0.552307 0.597961i
\(647\) −3.89370 −0.153077 −0.0765386 0.997067i \(-0.524387\pi\)
−0.0765386 + 0.997067i \(0.524387\pi\)
\(648\) 20.9675 14.4348i 0.823682 0.567052i
\(649\) 6.30422 0.247462
\(650\) 4.01218 4.34384i 0.157371 0.170379i
\(651\) −2.64050 + 34.9670i −0.103489 + 1.37046i
\(652\) −1.55428 19.5492i −0.0608705 0.765607i
\(653\) −46.1107 16.7829i −1.80445 0.656767i −0.997840 0.0656846i \(-0.979077\pi\)
−0.806611 0.591082i \(-0.798701\pi\)
\(654\) 6.84280 + 7.34971i 0.267575 + 0.287396i
\(655\) 0.313113 + 0.0552103i 0.0122343 + 0.00215724i
\(656\) 25.4475 + 22.0499i 0.993560 + 0.860903i
\(657\) 8.17713 10.2298i 0.319020 0.399103i
\(658\) 46.5557 24.0013i 1.81493 0.935668i
\(659\) −6.99121 19.2082i −0.272339 0.748245i −0.998176 0.0603781i \(-0.980769\pi\)
0.725837 0.687867i \(-0.241453\pi\)
\(660\) −0.0345164 8.69838i −0.00134355 0.338584i
\(661\) −1.63166 1.94453i −0.0634642 0.0756336i 0.733378 0.679821i \(-0.237942\pi\)
−0.796843 + 0.604187i \(0.793498\pi\)
\(662\) −13.5159 + 10.2863i −0.525311 + 0.399787i
\(663\) −1.88923 + 4.18059i −0.0733716 + 0.162361i
\(664\) −5.78980 27.6691i −0.224688 1.07377i
\(665\) 12.6319 7.29305i 0.489845 0.282812i
\(666\) 17.0148 + 6.65569i 0.659310 + 0.257903i
\(667\) 19.1386 33.1490i 0.741050 1.28354i
\(668\) −3.12734 + 11.3119i −0.121000 + 0.437671i
\(669\) −11.9474 + 46.8084i −0.461912 + 1.80972i
\(670\) −9.62602 4.03200i −0.371886 0.155770i
\(671\) 2.35147 + 13.3359i 0.0907776 + 0.514825i
\(672\) −33.7960 + 30.4792i −1.30371 + 1.17576i
\(673\) 16.2031 + 13.5960i 0.624582 + 0.524087i 0.899240 0.437455i \(-0.144120\pi\)
−0.274658 + 0.961542i \(0.588565\pi\)
\(674\) 15.0176 + 0.715329i 0.578454 + 0.0275534i
\(675\) 19.1091 14.4231i 0.735509 0.555145i
\(676\) 24.2426 + 2.31474i 0.932409 + 0.0890286i
\(677\) 9.66175 + 8.10717i 0.371331 + 0.311584i 0.809288 0.587412i \(-0.199853\pi\)
−0.437957 + 0.898996i \(0.644298\pi\)
\(678\) 0.109685 + 0.258973i 0.00421241 + 0.00994580i
\(679\) 1.52175 0.268325i 0.0583992 0.0102974i
\(680\) 2.44251 4.55884i 0.0936660 0.174823i
\(681\) 37.5800 10.5502i 1.44007 0.404285i
\(682\) −5.44293 + 24.0991i −0.208421 + 0.922800i
\(683\) −18.7608 10.8315i −0.717860 0.414457i 0.0961043 0.995371i \(-0.469362\pi\)
−0.813965 + 0.580914i \(0.802695\pi\)
\(684\) 24.9059 + 16.8569i 0.952303 + 0.644541i
\(685\) 4.88741 2.82175i 0.186738 0.107813i
\(686\) 14.7735 + 47.5114i 0.564054 + 1.81399i
\(687\) −24.2825 + 17.4369i −0.926434 + 0.665258i
\(688\) −20.3872 + 11.3434i −0.777253 + 0.432464i
\(689\) 1.78985 + 2.13306i 0.0681877 + 0.0812630i
\(690\) 3.93795 + 6.07448i 0.149915 + 0.231251i
\(691\) 19.0830 6.94564i 0.725951 0.264225i 0.0475010 0.998871i \(-0.484874\pi\)
0.678450 + 0.734647i \(0.262652\pi\)
\(692\) 14.4362 + 31.6103i 0.548781 + 1.20164i
\(693\) −1.32857 55.8336i −0.0504684 2.12094i
\(694\) −16.5148 10.6134i −0.626894 0.402878i
\(695\) −2.01622 + 11.4346i −0.0764796 + 0.433738i
\(696\) −5.18878 39.4113i −0.196680 1.49388i
\(697\) −23.0873 8.40307i −0.874492 0.318289i
\(698\) −28.5896 + 3.64867i −1.08213 + 0.138104i
\(699\) 10.8694 + 22.6036i 0.411120 + 0.854948i
\(700\) −30.5046 + 30.0248i −1.15297 + 1.13483i
\(701\) −38.5604 −1.45640 −0.728202 0.685362i \(-0.759644\pi\)
−0.728202 + 0.685362i \(0.759644\pi\)
\(702\) −6.42049 1.80259i −0.242326 0.0680345i
\(703\) 21.5850i 0.814093i
\(704\) −26.6951 + 17.7613i −1.00611 + 0.669406i
\(705\) −7.14641 4.87833i −0.269150 0.183728i
\(706\) 4.88149 0.622987i 0.183717 0.0234464i
\(707\) −10.7623 + 29.5693i −0.404760 + 1.11207i
\(708\) −1.84324 + 5.12749i −0.0692733 + 0.192703i
\(709\) −12.2287 2.15625i −0.459258 0.0809796i −0.0607673 0.998152i \(-0.519355\pi\)
−0.398491 + 0.917172i \(0.630466\pi\)
\(710\) −3.05901 + 4.75994i −0.114803 + 0.178637i
\(711\) 19.3580 17.0442i 0.725981 0.639208i
\(712\) −5.71596 + 2.28839i −0.214215 + 0.0857609i
\(713\) −7.03246 19.3215i −0.263368 0.723596i
\(714\) 15.0992 29.5756i 0.565072 1.10684i
\(715\) −1.74563 + 1.46476i −0.0652828 + 0.0547788i
\(716\) 2.95327 + 4.28969i 0.110369 + 0.160313i
\(717\) −33.6540 + 3.34817i −1.25683 + 0.125040i
\(718\) −2.68418 + 0.834637i −0.100173 + 0.0311484i
\(719\) 3.49686 + 6.05674i 0.130411 + 0.225878i 0.923835 0.382791i \(-0.125037\pi\)
−0.793424 + 0.608669i \(0.791704\pi\)
\(720\) 7.08485 + 2.51518i 0.264037 + 0.0937353i
\(721\) 27.4173 47.4882i 1.02107 1.76855i
\(722\) −1.90799 + 8.44780i −0.0710081 + 0.314395i
\(723\) 2.53254 2.59352i 0.0941862 0.0964540i
\(724\) −16.8733 + 35.4486i −0.627092 + 1.31744i
\(725\) −6.49205 36.8182i −0.241109 1.36739i
\(726\) 1.52148 12.3105i 0.0564673 0.456887i
\(727\) −8.35207 + 9.95361i −0.309761 + 0.369159i −0.898355 0.439270i \(-0.855237\pi\)
0.588594 + 0.808429i \(0.299682\pi\)
\(728\) 11.8010 + 1.69662i 0.437375 + 0.0628809i
\(729\) −24.2859 11.7982i −0.899476 0.436969i
\(730\) 3.86346 + 0.184028i 0.142993 + 0.00681117i
\(731\) 10.9424 13.0407i 0.404720 0.482327i
\(732\) −11.5341 1.98662i −0.426314 0.0734277i
\(733\) 47.3767 8.35378i 1.74990 0.308554i 0.795247 0.606285i \(-0.207341\pi\)
0.954650 + 0.297731i \(0.0962300\pi\)
\(734\) −1.74976 + 4.17739i −0.0645849 + 0.154190i
\(735\) 11.0493 11.3154i 0.407560 0.417374i
\(736\) 10.6985 24.4466i 0.394352 0.901113i
\(737\) −40.8852 23.6051i −1.50603 0.869505i
\(738\) 7.03715 35.0139i 0.259041 1.28888i
\(739\) −8.56966 14.8431i −0.315240 0.546012i 0.664249 0.747512i \(-0.268752\pi\)
−0.979488 + 0.201500i \(0.935418\pi\)
\(740\) 1.35520 + 5.22293i 0.0498180 + 0.191999i
\(741\) −0.779981 7.83994i −0.0286533 0.288007i
\(742\) −12.2062 16.0387i −0.448105 0.588799i
\(743\) −2.86000 + 2.39983i −0.104923 + 0.0880412i −0.693740 0.720225i \(-0.744038\pi\)
0.588817 + 0.808267i \(0.299594\pi\)
\(744\) −18.0093 11.4731i −0.660255 0.420625i
\(745\) −7.55669 + 2.75041i −0.276856 + 0.100767i
\(746\) −2.69882 + 1.39135i −0.0988109 + 0.0509409i
\(747\) −22.5034 + 19.8137i −0.823357 + 0.724945i
\(748\) 13.5708 19.0578i 0.496199 0.696823i
\(749\) 9.49118 53.8271i 0.346800 1.96680i
\(750\) 14.0962 + 4.32188i 0.514719 + 0.157813i
\(751\) −3.19769 + 8.78557i −0.116685 + 0.320590i −0.984263 0.176712i \(-0.943454\pi\)
0.867577 + 0.497302i \(0.165676\pi\)
\(752\) −0.505664 + 31.8913i −0.0184397 + 1.16296i
\(753\) 8.70140 12.7470i 0.317097 0.464525i
\(754\) −7.06583 + 7.64990i −0.257322 + 0.278593i
\(755\) 14.7178i 0.535636i
\(756\) 45.8002 + 15.2442i 1.66574 + 0.554425i
\(757\) 15.4500i 0.561539i −0.959775 0.280770i \(-0.909410\pi\)
0.959775 0.280770i \(-0.0905897\pi\)
\(758\) −10.6472 9.83430i −0.386724 0.357198i
\(759\) 14.1918 + 29.5128i 0.515131 + 1.07125i
\(760\) 0.281890 + 8.87758i 0.0102252 + 0.322024i
\(761\) 4.45855 12.2498i 0.161622 0.444053i −0.832275 0.554363i \(-0.812962\pi\)
0.993897 + 0.110309i \(0.0351842\pi\)
\(762\) 29.6713 6.82532i 1.07488 0.247255i
\(763\) −3.30663 + 18.7529i −0.119708 + 0.678899i
\(764\) 17.0240 23.9071i 0.615906 0.864929i
\(765\) −5.48411 + 0.130496i −0.198278 + 0.00471809i
\(766\) 14.4539 + 28.0364i 0.522239 + 1.01300i
\(767\) 1.34133 0.488206i 0.0484328 0.0176281i
\(768\) −6.64085 26.9054i −0.239631 0.970864i
\(769\) −7.85539 + 6.59146i −0.283273 + 0.237694i −0.773341 0.633990i \(-0.781416\pi\)
0.490069 + 0.871684i \(0.336972\pi\)
\(770\) 13.1256 9.98921i 0.473013 0.359986i
\(771\) −15.6187 + 11.2156i −0.562494 + 0.403918i
\(772\) 34.3591 8.91517i 1.23661 0.320864i
\(773\) 11.5460 + 19.9983i