Properties

Label 225.2.q.a.106.10
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.10
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.05398 - 0.224029i) q^{2} +(1.71250 - 0.259519i) q^{3} +(-0.766416 - 0.341231i) q^{4} +(-1.13834 + 1.92462i) q^{5} +(-1.86307 - 0.110124i) q^{6} +(0.316483 - 0.548165i) q^{7} +(2.47480 + 1.79805i) q^{8} +(2.86530 - 0.888850i) q^{9} +O(q^{10})\) \(q+(-1.05398 - 0.224029i) q^{2} +(1.71250 - 0.259519i) q^{3} +(-0.766416 - 0.341231i) q^{4} +(-1.13834 + 1.92462i) q^{5} +(-1.86307 - 0.110124i) q^{6} +(0.316483 - 0.548165i) q^{7} +(2.47480 + 1.79805i) q^{8} +(2.86530 - 0.888850i) q^{9} +(1.63096 - 1.77348i) q^{10} +(5.10644 + 1.08541i) q^{11} +(-1.40104 - 0.385457i) q^{12} +(3.72319 - 0.791388i) q^{13} +(-0.456370 + 0.506851i) q^{14} +(-1.44993 + 3.59134i) q^{15} +(-1.08284 - 1.20261i) q^{16} +(-0.365368 - 0.265455i) q^{17} +(-3.21908 + 0.294915i) q^{18} +(-3.97313 - 2.88665i) q^{19} +(1.52918 - 1.08663i) q^{20} +(0.399718 - 1.02086i) q^{21} +(-5.13890 - 2.28798i) q^{22} +(-0.0686557 + 0.0762499i) q^{23} +(4.70473 + 2.43690i) q^{24} +(-2.40836 - 4.38176i) q^{25} -4.10144 q^{26} +(4.67615 - 2.26575i) q^{27} +(-0.429608 + 0.312129i) q^{28} +(1.04992 + 9.98932i) q^{29} +(2.33276 - 3.46035i) q^{30} +(-0.422249 + 4.01743i) q^{31} +(-2.18716 - 3.78828i) q^{32} +(9.02645 + 0.533542i) q^{33} +(0.325619 + 0.361636i) q^{34} +(0.694745 + 1.23311i) q^{35} +(-2.49932 - 0.296499i) q^{36} +(0.0800637 - 0.246411i) q^{37} +(3.54089 + 3.93256i) q^{38} +(6.17057 - 2.32149i) q^{39} +(-6.27775 + 2.71627i) q^{40} +(-7.65841 + 1.62785i) q^{41} +(-0.649996 + 0.986417i) q^{42} +(3.68846 - 6.38860i) q^{43} +(-3.54328 - 2.57435i) q^{44} +(-1.55099 + 6.52644i) q^{45} +(0.0894437 - 0.0649846i) q^{46} +(-1.10730 - 10.5353i) q^{47} +(-2.16646 - 1.77845i) q^{48} +(3.29968 + 5.71521i) q^{49} +(1.55670 + 5.15781i) q^{50} +(-0.694582 - 0.359772i) q^{51} +(-3.12356 - 0.663933i) q^{52} +(-4.56626 + 3.31758i) q^{53} +(-5.43614 + 1.34045i) q^{54} +(-7.90187 + 8.59241i) q^{55} +(1.76886 - 0.787548i) q^{56} +(-7.55312 - 3.91228i) q^{57} +(1.13131 - 10.7637i) q^{58} +(-7.00744 + 1.48948i) q^{59} +(2.33673 - 2.25770i) q^{60} +(-4.51000 - 0.958629i) q^{61} +(1.34506 - 4.13967i) q^{62} +(0.419583 - 1.85196i) q^{63} +(2.45668 + 7.56088i) q^{64} +(-2.71514 + 8.06661i) q^{65} +(-9.39412 - 2.58453i) q^{66} +(-0.364553 + 3.46849i) q^{67} +(0.189442 + 0.328124i) q^{68} +(-0.0977846 + 0.148395i) q^{69} +(-0.455991 - 1.45531i) q^{70} +(-3.47832 + 2.52715i) q^{71} +(8.68926 + 2.95223i) q^{72} +(-4.75735 - 14.6416i) q^{73} +(-0.139588 + 0.241774i) q^{74} +(-5.26145 - 6.87874i) q^{75} +(2.06006 + 3.56813i) q^{76} +(2.21108 - 2.45566i) q^{77} +(-7.02371 + 1.06440i) q^{78} +(-0.142656 - 1.35728i) q^{79} +(3.54721 - 0.715070i) q^{80} +(7.41989 - 5.09364i) q^{81} +8.43646 q^{82} +(1.95429 - 0.870105i) q^{83} +(-0.654700 + 0.646011i) q^{84} +(0.926814 - 0.401017i) q^{85} +(-5.31878 + 5.90711i) q^{86} +(4.39040 + 16.8342i) q^{87} +(10.6858 + 11.8678i) q^{88} +(-5.42929 - 16.7096i) q^{89} +(3.09682 - 6.53124i) q^{90} +(0.744515 - 2.29138i) q^{91} +(0.0786377 - 0.0350118i) q^{92} +(0.319497 + 6.98942i) q^{93} +(-1.19314 + 11.3520i) q^{94} +(10.0785 - 4.36079i) q^{95} +(-4.72864 - 5.91981i) q^{96} +(0.637304 + 6.06354i) q^{97} +(-2.19740 - 6.76291i) q^{98} +(15.5962 - 1.42884i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.05398 0.224029i −0.745273 0.158413i −0.180403 0.983593i \(-0.557740\pi\)
−0.564870 + 0.825180i \(0.691074\pi\)
\(3\) 1.71250 0.259519i 0.988711 0.149833i
\(4\) −0.766416 0.341231i −0.383208 0.170615i
\(5\) −1.13834 + 1.92462i −0.509082 + 0.860718i
\(6\) −1.86307 0.110124i −0.760595 0.0449578i
\(7\) 0.316483 0.548165i 0.119619 0.207187i −0.799998 0.600003i \(-0.795166\pi\)
0.919617 + 0.392817i \(0.128499\pi\)
\(8\) 2.47480 + 1.79805i 0.874976 + 0.635707i
\(9\) 2.86530 0.888850i 0.955100 0.296283i
\(10\) 1.63096 1.77348i 0.515754 0.560825i
\(11\) 5.10644 + 1.08541i 1.53965 + 0.327262i 0.898090 0.439811i \(-0.144955\pi\)
0.641559 + 0.767074i \(0.278288\pi\)
\(12\) −1.40104 0.385457i −0.404446 0.111272i
\(13\) 3.72319 0.791388i 1.03263 0.219492i 0.339726 0.940524i \(-0.389666\pi\)
0.692901 + 0.721033i \(0.256332\pi\)
\(14\) −0.456370 + 0.506851i −0.121970 + 0.135461i
\(15\) −1.44993 + 3.59134i −0.374371 + 0.927279i
\(16\) −1.08284 1.20261i −0.270709 0.300653i
\(17\) −0.365368 0.265455i −0.0886146 0.0643823i 0.542596 0.839994i \(-0.317442\pi\)
−0.631210 + 0.775612i \(0.717442\pi\)
\(18\) −3.21908 + 0.294915i −0.758745 + 0.0695120i
\(19\) −3.97313 2.88665i −0.911499 0.662243i 0.0298945 0.999553i \(-0.490483\pi\)
−0.941394 + 0.337310i \(0.890483\pi\)
\(20\) 1.52918 1.08663i 0.341936 0.242977i
\(21\) 0.399718 1.02086i 0.0872256 0.222771i
\(22\) −5.13890 2.28798i −1.09562 0.487800i
\(23\) −0.0686557 + 0.0762499i −0.0143157 + 0.0158992i −0.750260 0.661143i \(-0.770072\pi\)
0.735944 + 0.677042i \(0.236738\pi\)
\(24\) 4.70473 + 2.43690i 0.960348 + 0.497430i
\(25\) −2.40836 4.38176i −0.481671 0.876352i
\(26\) −4.10144 −0.804359
\(27\) 4.67615 2.26575i 0.899925 0.436044i
\(28\) −0.429608 + 0.312129i −0.0811883 + 0.0589868i
\(29\) 1.04992 + 9.98932i 0.194965 + 1.85497i 0.456433 + 0.889758i \(0.349127\pi\)
−0.261467 + 0.965212i \(0.584206\pi\)
\(30\) 2.33276 3.46035i 0.425901 0.631771i
\(31\) −0.422249 + 4.01743i −0.0758381 + 0.721551i 0.888858 + 0.458184i \(0.151500\pi\)
−0.964696 + 0.263367i \(0.915167\pi\)
\(32\) −2.18716 3.78828i −0.386640 0.669680i
\(33\) 9.02645 + 0.533542i 1.57130 + 0.0928777i
\(34\) 0.325619 + 0.361636i 0.0558431 + 0.0620201i
\(35\) 0.694745 + 1.23311i 0.117433 + 0.208434i
\(36\) −2.49932 0.296499i −0.416553 0.0494164i
\(37\) 0.0800637 0.246411i 0.0131624 0.0405097i −0.944260 0.329202i \(-0.893220\pi\)
0.957422 + 0.288692i \(0.0932204\pi\)
\(38\) 3.54089 + 3.93256i 0.574408 + 0.637945i
\(39\) 6.17057 2.32149i 0.988083 0.371735i
\(40\) −6.27775 + 2.71627i −0.992599 + 0.429480i
\(41\) −7.65841 + 1.62785i −1.19604 + 0.254227i −0.762549 0.646930i \(-0.776053\pi\)
−0.433493 + 0.901157i \(0.642719\pi\)
\(42\) −0.649996 + 0.986417i −0.100297 + 0.152207i
\(43\) 3.68846 6.38860i 0.562485 0.974253i −0.434794 0.900530i \(-0.643179\pi\)
0.997279 0.0737227i \(-0.0234880\pi\)
\(44\) −3.54328 2.57435i −0.534170 0.388097i
\(45\) −1.55099 + 6.52644i −0.231208 + 0.972904i
\(46\) 0.0894437 0.0649846i 0.0131878 0.00958146i
\(47\) −1.10730 10.5353i −0.161517 1.53673i −0.712177 0.702000i \(-0.752291\pi\)
0.550660 0.834730i \(-0.314376\pi\)
\(48\) −2.16646 1.77845i −0.312701 0.256698i
\(49\) 3.29968 + 5.71521i 0.471382 + 0.816458i
\(50\) 1.55670 + 5.15781i 0.220151 + 0.729424i
\(51\) −0.694582 0.359772i −0.0972609 0.0503781i
\(52\) −3.12356 0.663933i −0.433160 0.0920709i
\(53\) −4.56626 + 3.31758i −0.627224 + 0.455705i −0.855437 0.517906i \(-0.826712\pi\)
0.228213 + 0.973611i \(0.426712\pi\)
\(54\) −5.43614 + 1.34045i −0.739765 + 0.182413i
\(55\) −7.90187 + 8.59241i −1.06549 + 1.15860i
\(56\) 1.76886 0.787548i 0.236374 0.105241i
\(57\) −7.55312 3.91228i −1.00044 0.518194i
\(58\) 1.13131 10.7637i 0.148548 1.41334i
\(59\) −7.00744 + 1.48948i −0.912291 + 0.193913i −0.640066 0.768320i \(-0.721093\pi\)
−0.272225 + 0.962234i \(0.587760\pi\)
\(60\) 2.33673 2.25770i 0.301670 0.291467i
\(61\) −4.51000 0.958629i −0.577446 0.122740i −0.0900749 0.995935i \(-0.528711\pi\)
−0.487371 + 0.873195i \(0.662044\pi\)
\(62\) 1.34506 4.13967i 0.170823 0.525739i
\(63\) 0.419583 1.85196i 0.0528624 0.233325i
\(64\) 2.45668 + 7.56088i 0.307085 + 0.945110i
\(65\) −2.71514 + 8.06661i −0.336771 + 1.00054i
\(66\) −9.39412 2.58453i −1.15634 0.318134i
\(67\) −0.364553 + 3.46849i −0.0445372 + 0.423743i 0.949423 + 0.314001i \(0.101669\pi\)
−0.993960 + 0.109743i \(0.964997\pi\)
\(68\) 0.189442 + 0.328124i 0.0229732 + 0.0397908i
\(69\) −0.0977846 + 0.148395i −0.0117719 + 0.0178647i
\(70\) −0.455991 1.45531i −0.0545014 0.173943i
\(71\) −3.47832 + 2.52715i −0.412801 + 0.299917i −0.774735 0.632286i \(-0.782117\pi\)
0.361934 + 0.932204i \(0.382117\pi\)
\(72\) 8.68926 + 2.95223i 1.02404 + 0.347923i
\(73\) −4.75735 14.6416i −0.556806 1.71367i −0.691126 0.722734i \(-0.742885\pi\)
0.134320 0.990938i \(-0.457115\pi\)
\(74\) −0.139588 + 0.241774i −0.0162268 + 0.0281057i
\(75\) −5.26145 6.87874i −0.607540 0.794289i
\(76\) 2.06006 + 3.56813i 0.236305 + 0.409292i
\(77\) 2.21108 2.45566i 0.251976 0.279848i
\(78\) −7.02371 + 1.06440i −0.795279 + 0.120520i
\(79\) −0.142656 1.35728i −0.0160501 0.152706i 0.983562 0.180573i \(-0.0577953\pi\)
−0.999612 + 0.0278667i \(0.991129\pi\)
\(80\) 3.54721 0.715070i 0.396591 0.0799473i
\(81\) 7.41989 5.09364i 0.824432 0.565961i
\(82\) 8.43646 0.931651
\(83\) 1.95429 0.870105i 0.214511 0.0955065i −0.296668 0.954981i \(-0.595876\pi\)
0.511179 + 0.859474i \(0.329209\pi\)
\(84\) −0.654700 + 0.646011i −0.0714336 + 0.0704856i
\(85\) 0.926814 0.401017i 0.100527 0.0434964i
\(86\) −5.31878 + 5.90711i −0.573539 + 0.636980i
\(87\) 4.39040 + 16.8342i 0.470700 + 1.80482i
\(88\) 10.6858 + 11.8678i 1.13911 + 1.26511i
\(89\) −5.42929 16.7096i −0.575504 1.77122i −0.634457 0.772958i \(-0.718776\pi\)
0.0589537 0.998261i \(-0.481224\pi\)
\(90\) 3.09682 6.53124i 0.326433 0.688453i
\(91\) 0.744515 2.29138i 0.0780464 0.240202i
\(92\) 0.0786377 0.0350118i 0.00819855 0.00365023i
\(93\) 0.319497 + 6.98942i 0.0331303 + 0.724769i
\(94\) −1.19314 + 11.3520i −0.123063 + 1.17087i
\(95\) 10.0785 4.36079i 1.03403 0.447408i
\(96\) −4.72864 5.91981i −0.482615 0.604188i
\(97\) 0.637304 + 6.06354i 0.0647084 + 0.615659i 0.978036 + 0.208434i \(0.0668368\pi\)
−0.913328 + 0.407225i \(0.866497\pi\)
\(98\) −2.19740 6.76291i −0.221971 0.683157i
\(99\) 15.5962 1.42884i 1.56748 0.143604i
\(100\) 0.350613 + 4.18006i 0.0350613 + 0.418006i
\(101\) 1.98334 3.43524i 0.197350 0.341820i −0.750319 0.661076i \(-0.770100\pi\)
0.947668 + 0.319257i \(0.103433\pi\)
\(102\) 0.651473 + 0.534797i 0.0645054 + 0.0529528i
\(103\) 1.04871 + 0.466917i 0.103333 + 0.0460067i 0.457752 0.889080i \(-0.348655\pi\)
−0.354419 + 0.935087i \(0.615321\pi\)
\(104\) 10.6371 + 4.73595i 1.04306 + 0.464398i
\(105\) 1.50976 + 1.93140i 0.147338 + 0.188485i
\(106\) 5.55596 2.47367i 0.539643 0.240264i
\(107\) 4.10301 0.396653 0.198326 0.980136i \(-0.436449\pi\)
0.198326 + 0.980136i \(0.436449\pi\)
\(108\) −4.35702 + 0.140865i −0.419254 + 0.0135548i
\(109\) 0.0306236 0.0942499i 0.00293321 0.00902750i −0.949579 0.313527i \(-0.898489\pi\)
0.952512 + 0.304500i \(0.0984893\pi\)
\(110\) 10.2533 7.28594i 0.977617 0.694687i
\(111\) 0.0731608 0.442756i 0.00694411 0.0420245i
\(112\) −1.00193 + 0.212967i −0.0946734 + 0.0201234i
\(113\) −13.0049 + 2.76428i −1.22340 + 0.260041i −0.773939 0.633260i \(-0.781716\pi\)
−0.449459 + 0.893301i \(0.648383\pi\)
\(114\) 7.08434 + 5.81557i 0.663509 + 0.544678i
\(115\) −0.0685988 0.218935i −0.00639687 0.0204158i
\(116\) 2.60399 8.01424i 0.241774 0.744104i
\(117\) 9.96463 5.57692i 0.921230 0.515587i
\(118\) 7.71936 0.710624
\(119\) −0.261146 + 0.116270i −0.0239392 + 0.0106584i
\(120\) −10.0457 + 6.28080i −0.917043 + 0.573356i
\(121\) 14.8486 + 6.61102i 1.34987 + 0.601002i
\(122\) 4.53866 + 2.02074i 0.410911 + 0.182949i
\(123\) −12.6926 + 4.77518i −1.14445 + 0.430564i
\(124\) 1.69449 2.93494i 0.152169 0.263565i
\(125\) 11.1748 + 0.352760i 0.999502 + 0.0315518i
\(126\) −0.857124 + 1.85792i −0.0763586 + 0.165517i
\(127\) 1.73383 + 5.33620i 0.153853 + 0.473511i 0.998043 0.0625335i \(-0.0199180\pi\)
−0.844190 + 0.536044i \(0.819918\pi\)
\(128\) 0.0190639 + 0.181381i 0.00168503 + 0.0160320i
\(129\) 4.65852 11.8977i 0.410160 1.04753i
\(130\) 4.66884 7.89374i 0.409485 0.692326i
\(131\) 0.574155 5.46272i 0.0501641 0.477280i −0.940384 0.340114i \(-0.889534\pi\)
0.990548 0.137165i \(-0.0437991\pi\)
\(132\) −6.73596 3.48902i −0.586290 0.303680i
\(133\) −2.83979 + 1.26436i −0.246241 + 0.109633i
\(134\) 1.16127 3.57403i 0.100319 0.308749i
\(135\) −0.962332 + 11.5790i −0.0828244 + 0.996564i
\(136\) −0.426912 1.31390i −0.0366074 0.112666i
\(137\) −6.65616 7.39241i −0.568674 0.631576i 0.388376 0.921501i \(-0.373036\pi\)
−0.957049 + 0.289925i \(0.906370\pi\)
\(138\) 0.136307 0.134498i 0.0116033 0.0114493i
\(139\) 2.88198 3.20077i 0.244447 0.271486i −0.608419 0.793616i \(-0.708196\pi\)
0.852866 + 0.522130i \(0.174863\pi\)
\(140\) −0.111689 1.18214i −0.00943947 0.0999094i
\(141\) −4.63036 17.7543i −0.389947 1.49518i
\(142\) 4.23222 1.88431i 0.355160 0.158127i
\(143\) 19.8712 1.66171
\(144\) −4.17159 2.48336i −0.347633 0.206947i
\(145\) −20.4209 9.35056i −1.69586 0.776522i
\(146\) 1.73398 + 16.4977i 0.143505 + 1.36536i
\(147\) 7.13389 + 8.93096i 0.588394 + 0.736613i
\(148\) −0.145445 + 0.161533i −0.0119555 + 0.0132779i
\(149\) −0.0389321 0.0674323i −0.00318944 0.00552427i 0.864426 0.502760i \(-0.167682\pi\)
−0.867616 + 0.497235i \(0.834349\pi\)
\(150\) 4.00440 + 8.42874i 0.326958 + 0.688204i
\(151\) −8.59717 + 14.8907i −0.699628 + 1.21179i 0.268968 + 0.963149i \(0.413318\pi\)
−0.968595 + 0.248642i \(0.920016\pi\)
\(152\) −4.64238 14.2878i −0.376547 1.15889i
\(153\) −1.28284 0.435851i −0.103711 0.0352365i
\(154\) −2.88057 + 2.09285i −0.232123 + 0.168647i
\(155\) −7.25137 5.38587i −0.582444 0.432604i
\(156\) −5.52139 0.326362i −0.442065 0.0261299i
\(157\) −5.71800 9.90387i −0.456346 0.790415i 0.542418 0.840109i \(-0.317509\pi\)
−0.998765 + 0.0496936i \(0.984176\pi\)
\(158\) −0.153715 + 1.46250i −0.0122289 + 0.116351i
\(159\) −6.95874 + 6.86638i −0.551864 + 0.544539i
\(160\) 9.78076 + 0.102888i 0.773237 + 0.00813398i
\(161\) 0.0200691 + 0.0617665i 0.00158167 + 0.00486788i
\(162\) −8.96151 + 3.70630i −0.704083 + 0.291195i
\(163\) 1.40825 4.33413i 0.110302 0.339476i −0.880636 0.473793i \(-0.842884\pi\)
0.990938 + 0.134318i \(0.0428843\pi\)
\(164\) 6.42500 + 1.36568i 0.501708 + 0.106641i
\(165\) −11.3021 + 16.7652i −0.879864 + 1.30517i
\(166\) −2.25470 + 0.479251i −0.174999 + 0.0371971i
\(167\) −1.56503 + 14.8903i −0.121106 + 1.15225i 0.750099 + 0.661326i \(0.230006\pi\)
−0.871205 + 0.490920i \(0.836661\pi\)
\(168\) 2.82479 1.80773i 0.217937 0.139469i
\(169\) 1.35975 0.605399i 0.104596 0.0465691i
\(170\) −1.06668 + 0.215028i −0.0818105 + 0.0164919i
\(171\) −13.9500 4.73960i −1.06678 0.362446i
\(172\) −5.00688 + 3.63771i −0.381771 + 0.277373i
\(173\) −3.49543 0.742976i −0.265753 0.0564874i 0.0731081 0.997324i \(-0.476708\pi\)
−0.338861 + 0.940837i \(0.610042\pi\)
\(174\) −0.856013 18.7264i −0.0648942 1.41965i
\(175\) −3.16413 0.0665768i −0.239186 0.00503274i
\(176\) −4.22411 7.31638i −0.318405 0.551493i
\(177\) −11.6137 + 4.36929i −0.872938 + 0.328416i
\(178\) 1.97889 + 18.8279i 0.148324 + 1.41121i
\(179\) −17.6257 + 12.8058i −1.31741 + 0.957151i −0.317445 + 0.948277i \(0.602825\pi\)
−0.999961 + 0.00887412i \(0.997175\pi\)
\(180\) 3.41572 4.47273i 0.254593 0.333377i
\(181\) 14.5760 + 10.5901i 1.08343 + 0.787155i 0.978277 0.207302i \(-0.0664682\pi\)
0.105148 + 0.994457i \(0.466468\pi\)
\(182\) −1.29804 + 2.24827i −0.0962169 + 0.166653i
\(183\) −7.97214 0.471223i −0.589318 0.0348338i
\(184\) −0.307011 + 0.0652572i −0.0226331 + 0.00481082i
\(185\) 0.383108 + 0.434592i 0.0281667 + 0.0319519i
\(186\) 1.22909 7.43825i 0.0901215 0.545399i
\(187\) −1.57760 1.75210i −0.115366 0.128126i
\(188\) −2.74631 + 8.45226i −0.200295 + 0.616445i
\(189\) 0.237916 3.28037i 0.0173058 0.238612i
\(190\) −11.5994 + 2.33829i −0.841511 + 0.169637i
\(191\) 6.83360 + 7.58948i 0.494462 + 0.549156i 0.937790 0.347204i \(-0.112869\pi\)
−0.443328 + 0.896360i \(0.646202\pi\)
\(192\) 6.16925 + 12.3104i 0.445227 + 0.888430i
\(193\) −6.35646 11.0097i −0.457548 0.792496i 0.541283 0.840841i \(-0.317939\pi\)
−0.998831 + 0.0483444i \(0.984605\pi\)
\(194\) 0.686709 6.53360i 0.0493028 0.469085i
\(195\) −2.55623 + 14.5187i −0.183056 + 1.03970i
\(196\) −0.578723 5.50618i −0.0413373 0.393299i
\(197\) 5.47291 3.97630i 0.389929 0.283300i −0.375498 0.926823i \(-0.622528\pi\)
0.765426 + 0.643524i \(0.222528\pi\)
\(198\) −16.7582 1.98805i −1.19095 0.141285i
\(199\) 7.09600 0.503022 0.251511 0.967854i \(-0.419073\pi\)
0.251511 + 0.967854i \(0.419073\pi\)
\(200\) 1.91842 15.1743i 0.135653 1.07299i
\(201\) 0.275841 + 6.03439i 0.0194563 + 0.425633i
\(202\) −2.85999 + 3.17634i −0.201228 + 0.223486i
\(203\) 5.80807 + 2.58592i 0.407647 + 0.181496i
\(204\) 0.409574 + 0.512747i 0.0286759 + 0.0358995i
\(205\) 5.58490 16.5926i 0.390066 1.15888i
\(206\) −1.00071 0.727061i −0.0697230 0.0506567i
\(207\) −0.128945 + 0.279504i −0.00896227 + 0.0194268i
\(208\) −4.98334 3.62061i −0.345532 0.251044i
\(209\) −17.1554 19.0530i −1.18666 1.31792i
\(210\) −1.15856 2.37388i −0.0799485 0.163813i
\(211\) 17.7288 19.6898i 1.22050 1.35550i 0.305429 0.952215i \(-0.401200\pi\)
0.915072 0.403289i \(-0.132133\pi\)
\(212\) 4.63172 0.984502i 0.318108 0.0676158i
\(213\) −5.30078 + 5.23043i −0.363203 + 0.358383i
\(214\) −4.32447 0.919195i −0.295615 0.0628349i
\(215\) 8.09693 + 14.3713i 0.552206 + 0.980116i
\(216\) 15.6465 + 2.80066i 1.06461 + 0.190561i
\(217\) 2.06858 + 1.50291i 0.140424 + 0.102024i
\(218\) −0.0533913 + 0.0924764i −0.00361611 + 0.00626329i
\(219\) −11.9467 23.8391i −0.807285 1.61090i
\(220\) 8.98812 3.88900i 0.605979 0.262197i
\(221\) −1.57041 0.699192i −0.105637 0.0470327i
\(222\) −0.176300 + 0.450264i −0.0118325 + 0.0302197i
\(223\) −3.85158 0.818679i −0.257921 0.0548228i 0.0771363 0.997021i \(-0.475422\pi\)
−0.335057 + 0.942198i \(0.608756\pi\)
\(224\) −2.76880 −0.184998
\(225\) −10.7954 10.4144i −0.719693 0.694293i
\(226\) 14.3261 0.952959
\(227\) 23.6286 + 5.02242i 1.56829 + 0.333350i 0.908428 0.418041i \(-0.137283\pi\)
0.659858 + 0.751390i \(0.270616\pi\)
\(228\) 4.45384 + 5.57579i 0.294963 + 0.369266i
\(229\) −13.8340 6.15929i −0.914175 0.407017i −0.104924 0.994480i \(-0.533460\pi\)
−0.809251 + 0.587463i \(0.800127\pi\)
\(230\) 0.0232535 + 0.246120i 0.00153329 + 0.0162287i
\(231\) 3.14919 4.77912i 0.207201 0.314443i
\(232\) −15.3630 + 26.6094i −1.00863 + 1.74699i
\(233\) 10.3302 + 7.50529i 0.676751 + 0.491688i 0.872278 0.489010i \(-0.162642\pi\)
−0.195527 + 0.980698i \(0.562642\pi\)
\(234\) −11.7519 + 3.64557i −0.768243 + 0.238318i
\(235\) 21.5370 + 9.86162i 1.40492 + 0.643301i
\(236\) 5.87887 + 1.24959i 0.382682 + 0.0813416i
\(237\) −0.596539 2.28733i −0.0387494 0.148578i
\(238\) 0.301289 0.0640409i 0.0195297 0.00415116i
\(239\) −8.58195 + 9.53122i −0.555120 + 0.616524i −0.953755 0.300586i \(-0.902818\pi\)
0.398634 + 0.917110i \(0.369484\pi\)
\(240\) 5.88902 2.14512i 0.380135 0.138467i
\(241\) 18.4961 + 20.5420i 1.19144 + 1.32323i 0.934145 + 0.356892i \(0.116164\pi\)
0.257293 + 0.966334i \(0.417170\pi\)
\(242\) −14.1690 10.2944i −0.910817 0.661748i
\(243\) 11.3847 10.6485i 0.730326 0.683099i
\(244\) 3.12942 + 2.27366i 0.200341 + 0.145556i
\(245\) −14.7558 0.155222i −0.942713 0.00991677i
\(246\) 14.4474 2.18942i 0.921134 0.139592i
\(247\) −17.0772 7.60325i −1.08659 0.483783i
\(248\) −8.26852 + 9.18312i −0.525052 + 0.583129i
\(249\) 3.12091 1.99723i 0.197779 0.126569i
\(250\) −11.6989 2.87528i −0.739904 0.181848i
\(251\) −2.88989 −0.182408 −0.0912042 0.995832i \(-0.529072\pi\)
−0.0912042 + 0.995832i \(0.529072\pi\)
\(252\) −0.953521 + 1.27620i −0.0600662 + 0.0803930i
\(253\) −0.433349 + 0.314846i −0.0272444 + 0.0197942i
\(254\) −0.631955 6.01265i −0.0396524 0.377267i
\(255\) 1.48310 0.927266i 0.0928751 0.0580676i
\(256\) 1.68254 16.0083i 0.105159 1.00052i
\(257\) 3.00243 + 5.20037i 0.187287 + 0.324390i 0.944345 0.328958i \(-0.106697\pi\)
−0.757058 + 0.653348i \(0.773364\pi\)
\(258\) −7.57540 + 11.4962i −0.471624 + 0.715724i
\(259\) −0.109735 0.121873i −0.00681859 0.00757281i
\(260\) 4.83350 5.25589i 0.299761 0.325957i
\(261\) 11.8873 + 27.6892i 0.735808 + 1.71392i
\(262\) −1.82895 + 5.62894i −0.112993 + 0.347757i
\(263\) 9.16815 + 10.1823i 0.565332 + 0.627865i 0.956247 0.292562i \(-0.0945078\pi\)
−0.390914 + 0.920427i \(0.627841\pi\)
\(264\) 21.3794 + 17.5504i 1.31581 + 1.08015i
\(265\) −1.18713 12.5649i −0.0729251 0.771854i
\(266\) 3.27632 0.696403i 0.200884 0.0426992i
\(267\) −13.6341 27.2062i −0.834394 1.66499i
\(268\) 1.46295 2.53391i 0.0893641 0.154783i
\(269\) −13.3513 9.70027i −0.814041 0.591436i 0.100958 0.994891i \(-0.467809\pi\)
−0.915000 + 0.403455i \(0.867809\pi\)
\(270\) 3.60832 11.9884i 0.219595 0.729592i
\(271\) −4.70284 + 3.41681i −0.285677 + 0.207557i −0.721390 0.692529i \(-0.756496\pi\)
0.435713 + 0.900086i \(0.356496\pi\)
\(272\) 0.0763939 + 0.726840i 0.00463206 + 0.0440711i
\(273\) 0.680325 4.11720i 0.0411751 0.249184i
\(274\) 5.35931 + 9.28259i 0.323768 + 0.560782i
\(275\) −7.54213 24.9892i −0.454807 1.50691i
\(276\) 0.125581 0.0803655i 0.00755907 0.00483743i
\(277\) −21.9583 4.66738i −1.31935 0.280436i −0.506160 0.862440i \(-0.668935\pi\)
−0.813186 + 0.582004i \(0.802269\pi\)
\(278\) −3.75461 + 2.72788i −0.225186 + 0.163607i
\(279\) 2.36102 + 11.8864i 0.141351 + 0.711623i
\(280\) −0.497835 + 4.30089i −0.0297513 + 0.257027i
\(281\) −21.1347 + 9.40979i −1.26079 + 0.561341i −0.924775 0.380514i \(-0.875747\pi\)
−0.336018 + 0.941856i \(0.609080\pi\)
\(282\) 0.902799 + 19.7499i 0.0537609 + 1.17609i
\(283\) −1.95792 + 18.6284i −0.116386 + 1.10734i 0.767955 + 0.640503i \(0.221274\pi\)
−0.884342 + 0.466840i \(0.845392\pi\)
\(284\) 3.52818 0.749938i 0.209359 0.0445007i
\(285\) 16.1277 10.0834i 0.955323 0.597289i
\(286\) −20.9438 4.45173i −1.23843 0.263237i
\(287\) −1.53143 + 4.71326i −0.0903974 + 0.278215i
\(288\) −9.63410 8.91050i −0.567695 0.525056i
\(289\) −5.19026 15.9740i −0.305310 0.939646i
\(290\) 19.4283 + 14.4301i 1.14087 + 0.847366i
\(291\) 2.66498 + 10.2184i 0.156224 + 0.599014i
\(292\) −1.35006 + 12.8449i −0.0790061 + 0.751693i
\(293\) −7.31930 12.6774i −0.427598 0.740622i 0.569061 0.822295i \(-0.307307\pi\)
−0.996659 + 0.0816737i \(0.973973\pi\)
\(294\) −5.51815 11.0112i −0.321825 0.642187i
\(295\) 5.11018 15.1822i 0.297526 0.883943i
\(296\) 0.641201 0.465860i 0.0372691 0.0270776i
\(297\) 26.3377 6.49440i 1.52827 0.376843i
\(298\) 0.0259266 + 0.0797939i 0.00150189 + 0.00462234i
\(299\) −0.195275 + 0.338226i −0.0112930 + 0.0195601i
\(300\) 1.68523 + 7.06735i 0.0972966 + 0.408034i
\(301\) −2.33467 4.04377i −0.134568 0.233079i
\(302\) 12.3972 13.7685i 0.713377 0.792285i
\(303\) 2.50496 6.39756i 0.143906 0.367530i
\(304\) 0.830734 + 7.90390i 0.0476459 + 0.453320i
\(305\) 6.97892 7.58880i 0.399612 0.434533i
\(306\) 1.25444 + 0.746770i 0.0717113 + 0.0426900i
\(307\) 33.9350 1.93677 0.968386 0.249455i \(-0.0802515\pi\)
0.968386 + 0.249455i \(0.0802515\pi\)
\(308\) −2.53255 + 1.12757i −0.144306 + 0.0642490i
\(309\) 1.91709 + 0.527434i 0.109059 + 0.0300047i
\(310\) 6.43617 + 7.30110i 0.365550 + 0.414675i
\(311\) 6.10247 6.77748i 0.346040 0.384316i −0.544852 0.838532i \(-0.683414\pi\)
0.890891 + 0.454217i \(0.150081\pi\)
\(312\) 19.4451 + 5.34978i 1.10086 + 0.302872i
\(313\) −15.8589 17.6131i −0.896398 0.995551i −1.00000 0.000932210i \(-0.999703\pi\)
0.103601 0.994619i \(-0.466963\pi\)
\(314\) 3.80788 + 11.7194i 0.214891 + 0.661366i
\(315\) 3.08670 + 2.91570i 0.173916 + 0.164281i
\(316\) −0.353813 + 1.08892i −0.0199035 + 0.0612567i
\(317\) −26.3835 + 11.7467i −1.48184 + 0.659759i −0.978859 0.204536i \(-0.934432\pi\)
−0.502985 + 0.864295i \(0.667765\pi\)
\(318\) 8.87261 5.67803i 0.497551 0.318408i
\(319\) −5.48113 + 52.1494i −0.306884 + 2.91981i
\(320\) −17.3484 3.87868i −0.969805 0.216825i
\(321\) 7.02640 1.06481i 0.392175 0.0594317i
\(322\) −0.00731488 0.0695964i −0.000407642 0.00387846i
\(323\) 0.685378 + 2.10938i 0.0381354 + 0.117369i
\(324\) −7.42483 + 1.37196i −0.412491 + 0.0762200i
\(325\) −12.4344 14.4082i −0.689739 0.799222i
\(326\) −2.45523 + 4.25258i −0.135983 + 0.235529i
\(327\) 0.0279833 0.169350i 0.00154748 0.00936508i
\(328\) −21.8800 9.74161i −1.20812 0.537891i
\(329\) −6.12552 2.72726i −0.337711 0.150358i
\(330\) 15.6680 15.1381i 0.862493 0.833324i
\(331\) −22.2886 + 9.92350i −1.22509 + 0.545445i −0.914302 0.405034i \(-0.867260\pi\)
−0.310788 + 0.950479i \(0.600593\pi\)
\(332\) −1.79470 −0.0984972
\(333\) 0.0103843 0.777205i 0.000569058 0.0425906i
\(334\) 4.98537 15.3434i 0.272787 0.839553i
\(335\) −6.26055 4.64995i −0.342051 0.254054i
\(336\) −1.66053 + 0.624724i −0.0905895 + 0.0340815i
\(337\) 1.26985 0.269916i 0.0691734 0.0147033i −0.173195 0.984888i \(-0.555409\pi\)
0.242368 + 0.970184i \(0.422076\pi\)
\(338\) −1.56877 + 0.333452i −0.0853297 + 0.0181374i
\(339\) −21.5535 + 8.10883i −1.17062 + 0.440411i
\(340\) −0.847165 0.00891166i −0.0459440 0.000483303i
\(341\) −6.51673 + 20.0564i −0.352901 + 1.08612i
\(342\) 13.6412 + 8.12063i 0.737629 + 0.439113i
\(343\) 8.60793 0.464784
\(344\) 20.6153 9.17850i 1.11150 0.494872i
\(345\) −0.174293 0.357123i −0.00938362 0.0192269i
\(346\) 3.51765 + 1.56616i 0.189110 + 0.0841971i
\(347\) 15.7936 + 7.03179i 0.847847 + 0.377486i 0.784216 0.620487i \(-0.213065\pi\)
0.0636311 + 0.997973i \(0.479732\pi\)
\(348\) 2.37948 14.4002i 0.127553 0.771930i
\(349\) 14.5339 25.1734i 0.777980 1.34750i −0.155124 0.987895i \(-0.549578\pi\)
0.933104 0.359606i \(-0.117089\pi\)
\(350\) 3.32000 + 0.779028i 0.177461 + 0.0416408i
\(351\) 15.6171 12.1365i 0.833579 0.647797i
\(352\) −7.05679 21.7186i −0.376128 1.15760i
\(353\) 1.95250 + 18.5768i 0.103921 + 0.988745i 0.914903 + 0.403674i \(0.132267\pi\)
−0.810982 + 0.585071i \(0.801066\pi\)
\(354\) 13.2194 2.00332i 0.702602 0.106475i
\(355\) −0.904293 9.57122i −0.0479949 0.507988i
\(356\) −1.54074 + 14.6592i −0.0816592 + 0.776935i
\(357\) −0.417037 + 0.266884i −0.0220720 + 0.0141250i
\(358\) 21.4459 9.54833i 1.13345 0.504645i
\(359\) 1.18928 3.66023i 0.0627679 0.193180i −0.914755 0.404009i \(-0.867616\pi\)
0.977523 + 0.210829i \(0.0676164\pi\)
\(360\) −15.5733 + 13.3629i −0.820783 + 0.704287i
\(361\) 1.58171 + 4.86800i 0.0832479 + 0.256211i
\(362\) −12.9903 14.4271i −0.682752 0.758273i
\(363\) 27.1439 + 7.46788i 1.42468 + 0.391962i
\(364\) −1.35250 + 1.50210i −0.0708901 + 0.0787315i
\(365\) 33.5951 + 7.51106i 1.75845 + 0.393147i
\(366\) 8.29687 + 2.28265i 0.433684 + 0.119316i
\(367\) 21.1594 9.42078i 1.10451 0.491761i 0.228254 0.973602i \(-0.426698\pi\)
0.876259 + 0.481841i \(0.160032\pi\)
\(368\) 0.166042 0.00865554
\(369\) −20.4967 + 11.4714i −1.06702 + 0.597180i
\(370\) −0.306425 0.543877i −0.0159303 0.0282748i
\(371\) 0.373437 + 3.55302i 0.0193879 + 0.184464i
\(372\) 2.14013 5.46583i 0.110961 0.283390i
\(373\) −11.0705 + 12.2951i −0.573210 + 0.636614i −0.958129 0.286336i \(-0.907563\pi\)
0.384919 + 0.922950i \(0.374229\pi\)
\(374\) 1.27023 + 2.20010i 0.0656820 + 0.113765i
\(375\) 19.2283 2.29596i 0.992947 0.118563i
\(376\) 16.2026 28.0638i 0.835587 1.44728i
\(377\) 11.8145 + 36.3612i 0.608477 + 1.87270i
\(378\) −0.985657 + 3.40413i −0.0506967 + 0.175090i
\(379\) −18.9711 + 13.7833i −0.974478 + 0.708000i −0.956468 0.291838i \(-0.905733\pi\)
−0.0180106 + 0.999838i \(0.505733\pi\)
\(380\) −9.21236 0.0969084i −0.472584 0.00497130i
\(381\) 4.35403 + 8.68826i 0.223064 + 0.445113i
\(382\) −5.50218 9.53006i −0.281516 0.487600i
\(383\) 2.27612 21.6559i 0.116304 1.10656i −0.768258 0.640140i \(-0.778876\pi\)
0.884562 0.466422i \(-0.154457\pi\)
\(384\) 0.0797188 + 0.305668i 0.00406813 + 0.0155985i
\(385\) 2.20925 + 7.05088i 0.112594 + 0.359346i
\(386\) 4.23305 + 13.0280i 0.215457 + 0.663107i
\(387\) 4.89004 21.5838i 0.248575 1.09716i
\(388\) 1.58063 4.86466i 0.0802441 0.246966i
\(389\) 1.06664 + 0.226720i 0.0540805 + 0.0114952i 0.234873 0.972026i \(-0.424533\pi\)
−0.180792 + 0.983521i \(0.557866\pi\)
\(390\) 5.94682 14.7297i 0.301129 0.745865i
\(391\) 0.0453255 0.00963424i 0.00229221 0.000487224i
\(392\) −2.11018 + 20.0770i −0.106580 + 1.01404i
\(393\) −0.434437 9.50389i −0.0219145 0.479408i
\(394\) −6.65912 + 2.96483i −0.335482 + 0.149366i
\(395\) 2.77465 + 1.27049i 0.139608 + 0.0639255i
\(396\) −12.4408 4.22683i −0.625173 0.212406i
\(397\) −15.4671 + 11.2375i −0.776274 + 0.563996i −0.903858 0.427832i \(-0.859278\pi\)
0.127585 + 0.991828i \(0.459278\pi\)
\(398\) −7.47901 1.58971i −0.374889 0.0796850i
\(399\) −4.53501 + 2.90218i −0.227034 + 0.145291i
\(400\) −2.66170 + 7.64105i −0.133085 + 0.382052i
\(401\) 0.466700 + 0.808348i 0.0233059 + 0.0403670i 0.877443 0.479681i \(-0.159248\pi\)
−0.854137 + 0.520048i \(0.825914\pi\)
\(402\) 1.06115 6.42189i 0.0529254 0.320295i
\(403\) 1.60723 + 15.2918i 0.0800620 + 0.761739i
\(404\) −2.69227 + 1.95605i −0.133946 + 0.0973172i
\(405\) 1.35698 + 20.0788i 0.0674289 + 0.997724i
\(406\) −5.54224 4.02668i −0.275057 0.199841i
\(407\) 0.676296 1.17138i 0.0335228 0.0580631i
\(408\) −1.07207 2.13926i −0.0530752 0.105909i
\(409\) 22.3449 4.74956i 1.10488 0.234851i 0.380866 0.924630i \(-0.375626\pi\)
0.724019 + 0.689780i \(0.242293\pi\)
\(410\) −9.60358 + 16.2370i −0.474287 + 0.801889i
\(411\) −13.3171 10.9321i −0.656885 0.539240i
\(412\) −0.644424 0.715705i −0.0317485 0.0352603i
\(413\) −1.40126 + 4.31263i −0.0689514 + 0.212210i
\(414\) 0.198521 0.265703i 0.00975679 0.0130586i
\(415\) −0.550022 + 4.75175i −0.0269995 + 0.233254i
\(416\) −11.1412 12.3736i −0.546244 0.606665i
\(417\) 4.10473 6.22924i 0.201010 0.305047i
\(418\) 13.8129 + 23.9247i 0.675611 + 1.17019i
\(419\) 1.10970 10.5580i 0.0542122 0.515794i −0.933395 0.358850i \(-0.883169\pi\)
0.987607 0.156944i \(-0.0501643\pi\)
\(420\) −0.498056 1.99543i −0.0243026 0.0973672i
\(421\) −1.92171 18.2838i −0.0936583 0.891099i −0.935963 0.352098i \(-0.885468\pi\)
0.842305 0.539001i \(-0.181198\pi\)
\(422\) −23.0968 + 16.7808i −1.12434 + 0.816878i
\(423\) −12.5370 29.2025i −0.609572 1.41988i
\(424\) −17.2658 −0.838500
\(425\) −0.283225 + 2.24026i −0.0137384 + 0.108669i
\(426\) 6.75866 4.32521i 0.327458 0.209557i
\(427\) −1.95282 + 2.16883i −0.0945038 + 0.104957i
\(428\) −3.14461 1.40007i −0.152001 0.0676751i
\(429\) 34.0294 5.15695i 1.64296 0.248980i
\(430\) −5.31437 16.9610i −0.256282 0.817930i
\(431\) −5.96554 4.33422i −0.287350 0.208772i 0.434767 0.900543i \(-0.356831\pi\)
−0.722117 + 0.691771i \(0.756831\pi\)
\(432\) −7.78833 3.17015i −0.374716 0.152524i
\(433\) 4.26267 + 3.09701i 0.204851 + 0.148833i 0.685481 0.728091i \(-0.259592\pi\)
−0.480630 + 0.876923i \(0.659592\pi\)
\(434\) −1.84353 2.04745i −0.0884924 0.0982808i
\(435\) −37.3973 10.7132i −1.79306 0.513660i
\(436\) −0.0556314 + 0.0617849i −0.00266426 + 0.00295896i
\(437\) 0.492885 0.104766i 0.0235779 0.00501164i
\(438\) 7.25089 + 27.8023i 0.346461 + 1.32844i
\(439\) 33.0600 + 7.02713i 1.57787 + 0.335386i 0.911842 0.410541i \(-0.134660\pi\)
0.666027 + 0.745927i \(0.267993\pi\)
\(440\) −35.0052 + 7.05657i −1.66881 + 0.336409i
\(441\) 14.5345 + 13.4429i 0.692120 + 0.640137i
\(442\) 1.49853 + 1.08875i 0.0712780 + 0.0517865i
\(443\) 11.5704 20.0405i 0.549726 0.952153i −0.448567 0.893749i \(-0.648065\pi\)
0.998293 0.0584042i \(-0.0186012\pi\)
\(444\) −0.207153 + 0.314371i −0.00983107 + 0.0149194i
\(445\) 38.3402 + 8.57194i 1.81750 + 0.406349i
\(446\) 3.87606 + 1.72574i 0.183537 + 0.0817159i
\(447\) −0.0841710 0.105374i −0.00398115 0.00498403i
\(448\) 4.92211 + 1.04623i 0.232548 + 0.0494295i
\(449\) 19.7430 0.931731 0.465866 0.884856i \(-0.345743\pi\)
0.465866 + 0.884856i \(0.345743\pi\)
\(450\) 9.04495 + 13.3950i 0.426383 + 0.631446i
\(451\) −40.8741 −1.92469
\(452\) 10.9104 + 2.31908i 0.513183 + 0.109080i
\(453\) −10.8582 + 27.7315i −0.510164 + 1.30294i
\(454\) −23.7788 10.5870i −1.11599 0.496873i
\(455\) 3.56254 + 4.04129i 0.167014 + 0.189458i
\(456\) −11.6580 23.2630i −0.545937 1.08939i
\(457\) −0.754881 + 1.30749i −0.0353119 + 0.0611619i −0.883141 0.469107i \(-0.844576\pi\)
0.847829 + 0.530269i \(0.177909\pi\)
\(458\) 13.2008 + 9.59095i 0.616834 + 0.448156i
\(459\) −2.30997 0.413475i −0.107820 0.0192993i
\(460\) −0.0221321 + 0.191203i −0.00103191 + 0.00891490i
\(461\) −0.971865 0.206576i −0.0452643 0.00962122i 0.185224 0.982696i \(-0.440699\pi\)
−0.230488 + 0.973075i \(0.574032\pi\)
\(462\) −4.38983 + 4.33157i −0.204233 + 0.201523i
\(463\) −18.7069 + 3.97626i −0.869381 + 0.184793i −0.620944 0.783855i \(-0.713250\pi\)
−0.248438 + 0.968648i \(0.579917\pi\)
\(464\) 10.8764 12.0794i 0.504923 0.560774i
\(465\) −13.8157 7.34143i −0.640688 0.340451i
\(466\) −9.20632 10.2247i −0.426474 0.473648i
\(467\) −7.86342 5.71311i −0.363875 0.264371i 0.390791 0.920479i \(-0.372201\pi\)
−0.754667 + 0.656108i \(0.772201\pi\)
\(468\) −9.54007 + 0.874008i −0.440990 + 0.0404010i
\(469\) 1.78593 + 1.29755i 0.0824665 + 0.0599154i
\(470\) −20.4901 15.2188i −0.945139 0.701991i
\(471\) −12.3623 15.4764i −0.569625 0.713116i
\(472\) −20.0202 8.91357i −0.921505 0.410280i
\(473\) 25.7691 28.6195i 1.18487 1.31593i
\(474\) 0.116310 + 2.54443i 0.00534228 + 0.116869i
\(475\) −3.07989 + 24.3614i −0.141315 + 1.11778i
\(476\) 0.239821 0.0109922
\(477\) −10.1349 + 13.5646i −0.464044 + 0.621080i
\(478\) 11.1804 8.12306i 0.511381 0.371540i
\(479\) 1.61586 + 15.3739i 0.0738307 + 0.702452i 0.967353 + 0.253433i \(0.0815597\pi\)
−0.893522 + 0.449019i \(0.851774\pi\)
\(480\) 16.7762 2.36209i 0.765727 0.107814i
\(481\) 0.103086 0.980795i 0.00470030 0.0447204i
\(482\) −14.8924 25.7944i −0.678331 1.17490i
\(483\) 0.0503979 + 0.100567i 0.00229318 + 0.00457594i
\(484\) −9.12433 10.1336i −0.414742 0.460618i
\(485\) −12.3955 5.67581i −0.562851 0.257725i
\(486\) −14.3847 + 8.67271i −0.652504 + 0.393402i
\(487\) 4.43743 13.6570i 0.201079 0.618858i −0.798773 0.601633i \(-0.794517\pi\)
0.999852 0.0172246i \(-0.00548302\pi\)
\(488\) −9.43769 10.4816i −0.427224 0.474481i
\(489\) 1.28683 7.78766i 0.0581925 0.352170i
\(490\) 15.5175 + 3.46933i 0.701007 + 0.156728i
\(491\) 3.67039 0.780165i 0.165642 0.0352084i −0.124344 0.992239i \(-0.539683\pi\)
0.289986 + 0.957031i \(0.406349\pi\)
\(492\) 11.3572 + 0.671311i 0.512023 + 0.0302650i
\(493\) 2.26811 3.92848i 0.102150 0.176930i
\(494\) 16.2956 + 11.8394i 0.733173 + 0.532681i
\(495\) −15.0039 + 31.6434i −0.674374 + 1.42227i
\(496\) 5.28863 3.84242i 0.237467 0.172530i
\(497\) 0.284464 + 2.70649i 0.0127599 + 0.121403i
\(498\) −3.73680 + 1.40585i −0.167450 + 0.0629978i
\(499\) −1.24260 2.15224i −0.0556263 0.0963476i 0.836871 0.547400i \(-0.184382\pi\)
−0.892498 + 0.451052i \(0.851049\pi\)
\(500\) −8.44416 4.08353i −0.377634 0.182621i
\(501\) 1.18419 + 25.9058i 0.0529058 + 1.15738i
\(502\) 3.04587 + 0.647421i 0.135944 + 0.0288958i
\(503\) −2.61295 + 1.89842i −0.116506 + 0.0846463i −0.644512 0.764594i \(-0.722940\pi\)
0.528007 + 0.849240i \(0.322940\pi\)
\(504\) 4.36831 3.82881i 0.194580 0.170549i
\(505\) 4.35384 + 7.72766i 0.193743 + 0.343877i
\(506\) 0.527273 0.234757i 0.0234402 0.0104362i
\(507\) 2.17145 1.38962i 0.0964376 0.0617154i
\(508\) 0.492033 4.68138i 0.0218304 0.207703i
\(509\) −12.1415 + 2.58076i −0.538163 + 0.114390i −0.468972 0.883213i \(-0.655375\pi\)
−0.0691916 + 0.997603i \(0.522042\pi\)
\(510\) −1.77088 + 0.645058i −0.0784160 + 0.0285636i
\(511\) −9.53164 2.02601i −0.421655 0.0896255i
\(512\) −5.24697 + 16.1485i −0.231885 + 0.713670i
\(513\) −25.1194 4.49627i −1.10905 0.198515i
\(514\) −1.99946 6.15369i −0.0881922 0.271428i
\(515\) −2.09243 + 1.48687i −0.0922036 + 0.0655191i
\(516\) −7.63022 + 7.52896i −0.335902 + 0.331444i
\(517\) 5.78070 54.9997i 0.254235 2.41888i
\(518\) 0.0883547 + 0.153035i 0.00388208 + 0.00672397i
\(519\) −6.17873 0.365217i −0.271216 0.0160312i
\(520\) −21.2236 + 15.0813i −0.930717 + 0.661360i
\(521\) 18.5974 13.5118i 0.814765 0.591962i −0.100443 0.994943i \(-0.532026\pi\)
0.915208 + 0.402981i \(0.132026\pi\)
\(522\) −6.32578 31.8468i −0.276872 1.39390i
\(523\) −6.02620 18.5468i −0.263508 0.810993i −0.992033 0.125975i \(-0.959794\pi\)
0.728526 0.685018i \(-0.240206\pi\)
\(524\) −2.30409 + 3.99080i −0.100654 + 0.174339i
\(525\) −5.43584 + 0.707138i −0.237240 + 0.0308620i
\(526\) −7.38188 12.7858i −0.321865 0.557487i
\(527\) 1.22072 1.35575i 0.0531755 0.0590574i
\(528\) −9.13252 11.4331i −0.397442 0.497560i
\(529\) 2.40305 + 22.8635i 0.104481 + 0.994067i
\(530\) −1.56369 + 13.5090i −0.0679224 + 0.586794i
\(531\) −18.7545 + 10.4964i −0.813876 + 0.455503i
\(532\) 2.60790 0.113067
\(533\) −27.2255 + 12.1216i −1.17927 + 0.525043i
\(534\) 8.27502 + 31.7291i 0.358095 + 1.37305i
\(535\) −4.67063 + 7.89675i −0.201929 + 0.341406i
\(536\) −7.13872 + 7.92835i −0.308346 + 0.342453i
\(537\) −26.8606 + 26.5041i −1.15912 + 1.14374i
\(538\) 11.8988 + 13.2149i 0.512992 + 0.569736i
\(539\) 10.6463 + 32.7658i 0.458567 + 1.41132i
\(540\) 4.68867 8.54598i 0.201768 0.367760i
\(541\) −4.92323 + 15.1521i −0.211666 + 0.651442i 0.787707 + 0.616050i \(0.211268\pi\)
−0.999374 + 0.0353920i \(0.988732\pi\)
\(542\) 5.72214 2.54766i 0.245787 0.109431i
\(543\) 27.7097 + 14.3528i 1.18914 + 0.615936i
\(544\) −0.206499 + 1.96471i −0.00885358 + 0.0842362i
\(545\) 0.146535 + 0.166228i 0.00627689 + 0.00712041i
\(546\) −1.63942 + 4.18702i −0.0701607 + 0.179188i
\(547\) 1.52095 + 14.4708i 0.0650310 + 0.618729i 0.977697 + 0.210022i \(0.0673535\pi\)
−0.912666 + 0.408707i \(0.865980\pi\)
\(548\) 2.57887 + 7.93695i 0.110164 + 0.339050i
\(549\) −13.7746 + 1.26195i −0.587884 + 0.0538587i
\(550\) 2.35090 + 28.0277i 0.100243 + 1.19510i
\(551\) 24.6642 42.7196i 1.05073 1.81992i
\(552\) −0.508820 + 0.191428i −0.0216568 + 0.00814771i
\(553\) −0.789164 0.351358i −0.0335587 0.0149413i
\(554\) 22.0979 + 9.83860i 0.938848 + 0.418002i
\(555\) 0.768857 + 0.644815i 0.0326362 + 0.0273709i
\(556\) −3.30100 + 1.46970i −0.139994 + 0.0623291i
\(557\) 31.2370 1.32355 0.661776 0.749701i \(-0.269803\pi\)
0.661776 + 0.749701i \(0.269803\pi\)
\(558\) 0.174456 13.0570i 0.00738530 0.552745i
\(559\) 8.67697 26.7050i 0.366997 1.12950i
\(560\) 0.730657 2.17076i 0.0308759 0.0917316i
\(561\) −3.15634 2.59106i −0.133261 0.109394i
\(562\) 24.3836 5.18289i 1.02856 0.218627i
\(563\) 39.2819 8.34963i 1.65554 0.351895i 0.716999 0.697074i \(-0.245515\pi\)
0.938537 + 0.345179i \(0.112182\pi\)
\(564\) −2.50953 + 15.1872i −0.105670 + 0.639497i
\(565\) 9.48382 28.1762i 0.398987 1.18538i
\(566\) 6.23691 19.1952i 0.262157 0.806836i
\(567\) −0.443887 5.67937i −0.0186415 0.238511i
\(568\) −13.1521 −0.551850
\(569\) 29.0226 12.9217i 1.21669 0.541706i 0.304910 0.952381i \(-0.401374\pi\)
0.911782 + 0.410675i \(0.134707\pi\)
\(570\) −19.2572 + 7.01458i −0.806594 + 0.293808i
\(571\) −17.6053 7.83839i −0.736759 0.328026i 0.00382238 0.999993i \(-0.498783\pi\)
−0.740582 + 0.671966i \(0.765450\pi\)
\(572\) −15.2296 6.78066i −0.636782 0.283514i
\(573\) 13.6721 + 11.2235i 0.571162 + 0.468870i
\(574\) 2.67000 4.62457i 0.111444 0.193026i
\(575\) 0.499456 + 0.117196i 0.0208288 + 0.00488741i
\(576\) 13.7596 + 19.4806i 0.573317 + 0.811691i
\(577\) 9.95121 + 30.6267i 0.414274 + 1.27500i 0.912898 + 0.408187i \(0.133839\pi\)
−0.498624 + 0.866818i \(0.666161\pi\)
\(578\) 1.89177 + 17.9990i 0.0786871 + 0.748658i
\(579\) −13.7426 17.2045i −0.571125 0.714994i
\(580\) 12.4602 + 14.1346i 0.517381 + 0.586909i
\(581\) 0.141538 1.34665i 0.00587199 0.0558683i
\(582\) −0.519602 11.3670i −0.0215382 0.471177i
\(583\) −26.9182 + 11.9848i −1.11484 + 0.496359i
\(584\) 14.5529 44.7891i 0.602202 1.85339i
\(585\) −0.609674 + 25.5266i −0.0252069 + 1.05540i
\(586\) 4.87425 + 15.0014i 0.201353 + 0.619702i
\(587\) −7.74963 8.60684i −0.319862 0.355242i 0.561675 0.827358i \(-0.310157\pi\)
−0.881537 + 0.472116i \(0.843490\pi\)
\(588\) −2.42002 9.27913i −0.0997998 0.382665i
\(589\) 13.2746 14.7429i 0.546968 0.607470i
\(590\) −8.78726 + 14.8569i −0.361766 + 0.611647i
\(591\) 8.34042 8.22973i 0.343079 0.338526i
\(592\) −0.383032 + 0.170537i −0.0157425 + 0.00700903i
\(593\) −22.3537 −0.917955 −0.458977 0.888448i \(-0.651784\pi\)
−0.458977 + 0.888448i \(0.651784\pi\)
\(594\) −29.2142 + 0.944516i −1.19868 + 0.0387539i
\(595\) 0.0734979 0.634962i 0.00301312 0.0260309i
\(596\) 0.00682821 + 0.0649660i 0.000279694 + 0.00266111i
\(597\) 12.1519 1.84154i 0.497343 0.0753693i
\(598\) 0.281588 0.312735i 0.0115150 0.0127887i
\(599\) −2.18765 3.78911i −0.0893848 0.154819i 0.817866 0.575408i \(-0.195157\pi\)
−0.907251 + 0.420589i \(0.861823\pi\)
\(600\) −0.652741 26.4839i −0.0266480 1.08120i
\(601\) −7.07808 + 12.2596i −0.288721 + 0.500079i −0.973505 0.228667i \(-0.926563\pi\)
0.684784 + 0.728746i \(0.259897\pi\)
\(602\) 1.55476 + 4.78507i 0.0633674 + 0.195025i
\(603\) 2.03841 + 10.2623i 0.0830106 + 0.417913i
\(604\) 11.6702 8.47889i 0.474853 0.345001i
\(605\) −29.6265 + 21.0524i −1.20449 + 0.855901i
\(606\) −4.07340 + 6.18169i −0.165471 + 0.251114i
\(607\) 17.2199 + 29.8257i 0.698933 + 1.21059i 0.968837 + 0.247700i \(0.0796748\pi\)
−0.269904 + 0.962887i \(0.586992\pi\)
\(608\) −2.24554 + 21.3649i −0.0910688 + 0.866462i
\(609\) 10.6174 + 2.92108i 0.430239 + 0.118368i
\(610\) −9.05572 + 6.43492i −0.366655 + 0.260542i
\(611\) −12.4602 38.3486i −0.504086 1.55142i
\(612\) 0.834462 + 0.771787i 0.0337311 + 0.0311976i
\(613\) −2.88297 + 8.87288i −0.116442 + 0.358372i −0.992245 0.124297i \(-0.960333\pi\)
0.875803 + 0.482669i \(0.160333\pi\)
\(614\) −35.7667 7.60244i −1.44342 0.306809i
\(615\) 5.25804 29.8642i 0.212025 1.20424i
\(616\) 9.88739 2.10163i 0.398374 0.0846771i
\(617\) 2.26139 21.5157i 0.0910401 0.866189i −0.849747 0.527191i \(-0.823245\pi\)
0.940787 0.338998i \(-0.110088\pi\)
\(618\) −1.90241 0.985387i −0.0765260 0.0396381i
\(619\) 14.6861 6.53867i 0.590284 0.262811i −0.0897832 0.995961i \(-0.528617\pi\)
0.680067 + 0.733150i \(0.261951\pi\)
\(620\) 3.71975 + 6.60221i 0.149389 + 0.265151i
\(621\) −0.148281 + 0.512113i −0.00595031 + 0.0205504i
\(622\) −7.95021 + 5.77617i −0.318774 + 0.231603i
\(623\) −10.8779 2.31217i −0.435814 0.0926352i
\(624\) −9.47357 4.90701i −0.379246 0.196438i
\(625\) −13.3996 + 21.1057i −0.535986 + 0.844227i
\(626\) 12.7690 + 22.1166i 0.510354 + 0.883958i
\(627\) −34.3231 28.1760i −1.37073 1.12524i
\(628\) 1.00287 + 9.54165i 0.0400188 + 0.380753i
\(629\) −0.0946637 + 0.0687772i −0.00377449 + 0.00274233i
\(630\) −2.60011 3.76459i −0.103591 0.149985i
\(631\) 36.4652 + 26.4935i 1.45165 + 1.05469i 0.985441 + 0.170017i \(0.0543823\pi\)
0.466214 + 0.884672i \(0.345618\pi\)
\(632\) 2.08742 3.61552i 0.0830331 0.143818i
\(633\) 25.2507 38.3198i 1.00362 1.52307i
\(634\) 30.4391 6.47004i 1.20889 0.256958i
\(635\) −12.2439 2.73743i −0.485883 0.108632i
\(636\) 7.67631 2.88797i 0.304385 0.114516i
\(637\) 16.8083 + 18.6675i 0.665968 + 0.739632i
\(638\) 17.4600 53.7363i 0.691247 2.12744i
\(639\) −7.72018 + 10.3327i −0.305406 + 0.408757i
\(640\) −0.370792 0.169783i −0.0146568 0.00671126i
\(641\) −21.9255 24.3507i −0.866005 0.961796i 0.133567 0.991040i \(-0.457357\pi\)
−0.999572 + 0.0292433i \(0.990690\pi\)
\(642\) −7.64420 0.451839i −0.301692 0.0178327i
\(643\) −1.00181 1.73519i −0.0395077 0.0684294i 0.845595 0.533824i \(-0.179246\pi\)
−0.885103 + 0.465395i \(0.845912\pi\)
\(644\) 0.00569529 0.0541870i 0.000224426 0.00213527i
\(645\) 17.5956 + 22.5096i 0.692826 + 0.886313i
\(646\) −0.249809 2.37677i −0.00982861 0.0935130i
\(647\) 8.36159 6.07505i 0.328728 0.238835i −0.411163 0.911562i \(-0.634877\pi\)
0.739891 + 0.672727i \(0.234877\pi\)
\(648\) 27.5214 + 0.735565i 1.08114 + 0.0288957i
\(649\) −37.3997 −1.46807
\(650\) 9.87774 + 17.9715i 0.387437 + 0.704902i
\(651\) 3.93247 + 2.03690i 0.154126 + 0.0798322i
\(652\) −2.55824 + 2.84121i −0.100188 + 0.111271i
\(653\) 11.7357 + 5.22507i 0.459253 + 0.204473i 0.623305 0.781979i \(-0.285790\pi\)
−0.164051 + 0.986452i \(0.552456\pi\)
\(654\) −0.0674331 + 0.172222i −0.00263684 + 0.00673440i
\(655\) 9.86009 + 7.32347i 0.385266 + 0.286152i
\(656\) 10.2505 + 7.44740i 0.400214 + 0.290772i
\(657\) −26.6454 37.7241i −1.03954 1.47176i
\(658\) 5.84516 + 4.24676i 0.227868 + 0.165556i
\(659\) 3.17399 + 3.52507i 0.123641 + 0.137317i 0.801787 0.597610i \(-0.203883\pi\)
−0.678146 + 0.734927i \(0.737216\pi\)
\(660\) 14.3829 8.99249i 0.559852 0.350032i
\(661\) 2.71132 3.01122i 0.105458 0.117123i −0.688105 0.725611i \(-0.741557\pi\)
0.793563 + 0.608488i \(0.208224\pi\)
\(662\) 25.7147 5.46584i 0.999432 0.212436i
\(663\) −2.87078 0.789814i −0.111492 0.0306738i
\(664\) 6.40098 + 1.36057i 0.248406 + 0.0528003i
\(665\) 0.799241 6.90479i 0.0309932 0.267756i
\(666\) −0.185062 + 0.816829i −0.00717099 + 0.0316515i
\(667\) −0.833768 0.605768i −0.0322836 0.0234554i
\(668\) 6.28049 10.8781i 0.242999 0.420887i
\(669\) −6.80829 0.402429i −0.263224 0.0155588i
\(670\) 5.55674 + 6.30348i 0.214676 + 0.243525i
\(671\) −21.9895 9.79036i −0.848896 0.377953i
\(672\) −4.74157 + 0.718555i −0.182910 + 0.0277189i
\(673\) 49.3370 + 10.4869i 1.90180 + 0.404240i 0.999632 0.0271429i \(-0.00864092\pi\)
0.902169 + 0.431383i \(0.141974\pi\)
\(674\) −1.39886 −0.0538822
\(675\) −21.1898 15.0330i −0.815596 0.578621i
\(676\) −1.24871 −0.0480274
\(677\) 33.9900 + 7.22480i 1.30634 + 0.277672i 0.807935 0.589272i \(-0.200585\pi\)
0.498407 + 0.866943i \(0.333919\pi\)
\(678\) 24.5335 3.71789i 0.942202 0.142785i
\(679\) 3.52552 + 1.56966i 0.135297 + 0.0602380i
\(680\) 3.01473 + 0.674022i 0.115610 + 0.0258475i
\(681\) 41.7674 + 2.46882i 1.60053 + 0.0946053i
\(682\) 11.3617 19.6790i 0.435062 0.753549i
\(683\) −33.1970 24.1191i −1.27025 0.922890i −0.271037 0.962569i \(-0.587367\pi\)
−0.999213 + 0.0396784i \(0.987367\pi\)
\(684\) 9.07422 + 8.39268i 0.346962 + 0.320902i
\(685\) 21.8046 4.39551i 0.833111 0.167944i
\(686\) −9.07254 1.92843i −0.346391 0.0736278i
\(687\) −25.2891 6.95759i −0.964840 0.265449i
\(688\) −11.6770 + 2.48203i −0.445182 + 0.0946263i
\(689\) −14.3756 + 15.9657i −0.547665 + 0.608243i
\(690\) 0.103694 + 0.415446i 0.00394758 + 0.0158157i
\(691\) −14.7552 16.3873i −0.561315 0.623403i 0.393958 0.919128i \(-0.371105\pi\)
−0.955273 + 0.295725i \(0.904439\pi\)
\(692\) 2.42543 + 1.76218i 0.0922009 + 0.0669879i
\(693\) 4.15271 9.00151i 0.157748 0.341939i
\(694\) −15.0708 10.9496i −0.572079 0.415640i
\(695\) 2.87959 + 9.19030i 0.109229 + 0.348608i
\(696\) −19.4034 + 49.5556i −0.735484 + 1.87840i
\(697\) 3.23025 + 1.43820i 0.122355 + 0.0544758i
\(698\) −20.9579 + 23.2761i −0.793269 + 0.881014i
\(699\) 19.6381 + 10.1719i 0.742782 + 0.384738i
\(700\) 2.40232 + 1.13072i 0.0907993 + 0.0427373i
\(701\) 0.897737 0.0339071 0.0169535 0.999856i \(-0.494603\pi\)
0.0169535 + 0.999856i \(0.494603\pi\)
\(702\) −19.1790 + 9.29286i −0.723863 + 0.350736i
\(703\) −1.02941 + 0.747907i −0.0388247 + 0.0282078i
\(704\) 4.33825 + 41.2757i 0.163504 + 1.55564i
\(705\) 39.4413 + 11.2988i 1.48544 + 0.425536i
\(706\) 2.10386 20.0169i 0.0791800 0.753347i
\(707\) −1.25539 2.17439i −0.0472137 0.0817765i
\(708\) 10.3918 + 0.614249i 0.390550 + 0.0230849i
\(709\) 27.7781 + 30.8507i 1.04323 + 1.15862i 0.987085 + 0.160199i \(0.0512137\pi\)
0.0561432 + 0.998423i \(0.482120\pi\)
\(710\) −1.19113 + 10.2904i −0.0447024 + 0.386193i
\(711\) −1.61518 3.76223i −0.0605738 0.141095i
\(712\) 16.6083 51.1152i 0.622424 1.91562i
\(713\) −0.277339 0.308016i −0.0103864 0.0115353i
\(714\) 0.499337 0.187860i 0.0186872 0.00703049i
\(715\) −22.6202 + 38.2446i −0.845949 + 1.43027i
\(716\) 17.8783 3.80016i 0.668145 0.142019i
\(717\) −12.2230 + 18.5494i −0.456478 + 0.692739i
\(718\) −2.07347 + 3.59136i −0.0773813 + 0.134028i
\(719\) 34.2388 + 24.8759i 1.27689 + 0.927716i 0.999454 0.0330279i \(-0.0105150\pi\)
0.277437 + 0.960744i \(0.410515\pi\)
\(720\) 9.52824 5.20183i 0.355097 0.193861i
\(721\) 0.587847 0.427096i 0.0218926 0.0159059i
\(722\) −0.576508 5.48510i −0.0214554 0.204134i
\(723\) 37.0056 + 30.3780i 1.37625 + 1.12977i
\(724\) −7.55762 13.0902i −0.280877 0.486493i
\(725\) 41.2422 28.6583i 1.53170 1.06434i
\(726\) −26.9360 13.9520i −0.999687 0.517807i
\(727\) −10.7038 2.27517i −0.396983 0.0843814i 0.00509419 0.999987i \(-0.498378\pi\)
−0.402078 + 0.915606i \(0.631712\pi\)
\(728\) 5.96255 4.33205i 0.220987 0.160556i
\(729\) 16.7327 21.1900i 0.619731 0.784815i
\(730\) −33.7257 15.4428i −1.24824 0.571562i
\(731\) −3.04353 + 1.35507i −0.112569 + 0.0501190i
\(732\) 5.94918 + 3.08149i 0.219888 + 0.113895i
\(733\) −0.132815 + 1.26365i −0.00490562 + 0.0466738i −0.996701 0.0811628i \(-0.974137\pi\)
0.991795 + 0.127837i \(0.0408033\pi\)
\(734\) −24.4120 + 5.18894i −0.901065 + 0.191527i
\(735\) −25.3095 + 3.56358i −0.933557 + 0.131445i
\(736\) 0.439018 + 0.0933161i 0.0161824 + 0.00343968i
\(737\) −5.62629 + 17.3159i −0.207247 + 0.637841i
\(738\) 24.1730 7.49875i 0.889820 0.276033i
\(739\) 5.82472 + 17.9267i 0.214266 + 0.659443i 0.999205 + 0.0398696i \(0.0126943\pi\)
−0.784939 + 0.619573i \(0.787306\pi\)
\(740\) −0.145324 0.463807i −0.00534223 0.0170499i
\(741\) −31.2178 8.58871i −1.14682 0.315514i
\(742\) 0.402387 3.82846i 0.0147721 0.140547i
\(743\) 0.560250 + 0.970382i 0.0205536 + 0.0355999i 0.876119 0.482094i \(-0.160124\pi\)
−0.855566 + 0.517694i \(0.826790\pi\)
\(744\) −11.7766 + 17.8719i −0.431752 + 0.655216i
\(745\) 0.174100 + 0.00183143i 0.00637853 + 6.70982e-5i
\(746\) 14.4225 10.4786i 0.528046 0.383648i
\(747\) 4.82623 4.23018i 0.176583 0.154774i
\(748\) 0.611228 + 1.88116i 0.0223487 + 0.0687822i
\(749\) 1.29853 2.24913i 0.0474474 0.0821813i
\(750\) −20.7805 1.88782i −0.758798 0.0689336i
\(751\) 6.69286 + 11.5924i 0.244226 + 0.423012i 0.961914 0.273353i \(-0.0881328\pi\)
−0.717688 + 0.696365i \(0.754799\pi\)
\(752\) −11.4708 + 12.7397i −0.418298 + 0.464567i
\(753\) −4.94893 + 0.749981i −0.180349 + 0.0273308i
\(754\) −4.30619 40.9706i −0.156822 1.49206i
\(755\) −18.8726 33.4971i −0.686843 1.21908i
\(756\) −1.30171 + 2.43295i −0.0473426 + 0.0884854i
\(757\) 14.0336 0.510062 0.255031 0.966933i \(-0.417914\pi\)
0.255031 + 0.966933i \(0.417914\pi\)
\(758\) 23.0829 10.2772i 0.838409 0.373284i
\(759\) −0.660400 + 0.651635i −0.0239710 + 0.0236529i
\(760\) 32.7832 + 7.32954i 1.18917 + 0.265870i
\(761\) 8.86063 9.84073i 0.321198 0.356726i −0.560824 0.827935i \(-0.689516\pi\)
0.882022 + 0.471209i \(0.156182\pi\)
\(762\) −2.64261 10.1326i −0.0957318 0.367067i
\(763\) −0.0419726 0.0466153i −0.00151951 0.00168759i
\(764\) −2.64762 8.14854i −0.0957875 0.294804i
\(765\) 2.29916 1.97283i 0.0831262 0.0713279i
\(766\) −7.25052 + 22.3148i −0.261972 + 0.806267i
\(767\) −24.9113 + 11.0912i −0.899494 + 0.400480i
\(768\) −1.27310 27.8508i −0.0459392 1.00498i
\(769\) −1.19628 + 11.3819i −0.0431390 + 0.410440i 0.951548 + 0.307499i \(0.0994920\pi\)
−0.994687 + 0.102941i \(0.967175\pi\)
\(770\) −0.748888 7.92639i −0.0269881 0.285647i