Properties

Label 225.2.q.a.106.24
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 106.24
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.24

$q$-expansion

\(f(q)\) \(=\) \(q+(1.91440 + 0.406919i) q^{2} +(-0.0970075 + 1.72933i) q^{3} +(1.67227 + 0.744541i) q^{4} +(2.20948 - 0.343819i) q^{5} +(-0.889410 + 3.27117i) q^{6} +(0.690014 - 1.19514i) q^{7} +(-0.268345 - 0.194964i) q^{8} +(-2.98118 - 0.335516i) q^{9} +O(q^{10})\) \(q+(1.91440 + 0.406919i) q^{2} +(-0.0970075 + 1.72933i) q^{3} +(1.67227 + 0.744541i) q^{4} +(2.20948 - 0.343819i) q^{5} +(-0.889410 + 3.27117i) q^{6} +(0.690014 - 1.19514i) q^{7} +(-0.268345 - 0.194964i) q^{8} +(-2.98118 - 0.335516i) q^{9} +(4.36974 + 0.240869i) q^{10} +(-2.41607 - 0.513552i) q^{11} +(-1.44978 + 2.81968i) q^{12} +(-3.14597 + 0.668696i) q^{13} +(1.80729 - 2.00720i) q^{14} +(0.380242 + 3.85427i) q^{15} +(-2.88411 - 3.20312i) q^{16} +(3.02773 + 2.19977i) q^{17} +(-5.57065 - 1.85541i) q^{18} +(0.234784 + 0.170581i) q^{19} +(3.95082 + 1.07009i) q^{20} +(1.99986 + 1.30920i) q^{21} +(-4.41636 - 1.96629i) q^{22} +(0.389869 - 0.432993i) q^{23} +(0.363189 - 0.445145i) q^{24} +(4.76358 - 1.51932i) q^{25} -6.29476 q^{26} +(0.869416 - 5.12290i) q^{27} +(2.04372 - 1.48485i) q^{28} +(-0.389966 - 3.71028i) q^{29} +(-0.840441 + 7.53336i) q^{30} +(-0.895263 + 8.51786i) q^{31} +(-3.88624 - 6.73116i) q^{32} +(1.12248 - 4.12837i) q^{33} +(4.90116 + 5.44329i) q^{34} +(1.11366 - 2.87787i) q^{35} +(-4.73552 - 2.78068i) q^{36} +(2.37815 - 7.31918i) q^{37} +(0.380060 + 0.422099i) q^{38} +(-0.851215 - 5.50529i) q^{39} +(-0.659934 - 0.338506i) q^{40} +(-6.21628 + 1.32131i) q^{41} +(3.29579 + 3.32012i) q^{42} +(-3.20269 + 5.54723i) q^{43} +(-3.65796 - 2.65766i) q^{44} +(-6.70220 + 0.283671i) q^{45} +(0.922560 - 0.670279i) q^{46} +(-0.750946 - 7.14477i) q^{47} +(5.81905 - 4.67685i) q^{48} +(2.54776 + 4.41285i) q^{49} +(9.73765 - 0.970205i) q^{50} +(-4.09785 + 5.02255i) q^{51} +(-5.75877 - 1.22407i) q^{52} +(6.69073 - 4.86110i) q^{53} +(3.74902 - 9.45352i) q^{54} +(-5.51482 - 0.303989i) q^{55} +(-0.418171 + 0.186182i) q^{56} +(-0.317767 + 0.389473i) q^{57} +(0.763232 - 7.26166i) q^{58} +(1.90295 - 0.404485i) q^{59} +(-2.23380 + 6.72848i) q^{60} +(12.8255 + 2.72614i) q^{61} +(-5.17998 + 15.9423i) q^{62} +(-2.45804 + 3.33141i) q^{63} +(-2.03692 - 6.26900i) q^{64} +(-6.72104 + 2.55911i) q^{65} +(3.82879 - 7.44661i) q^{66} +(-1.05779 + 10.0642i) q^{67} +(3.42535 + 5.93288i) q^{68} +(0.710969 + 0.716217i) q^{69} +(3.30305 - 5.05624i) q^{70} +(-10.4571 + 7.59752i) q^{71} +(0.734571 + 0.671257i) q^{72} +(1.44065 + 4.43387i) q^{73} +(7.53104 - 13.0442i) q^{74} +(2.16531 + 8.38519i) q^{75} +(0.265618 + 0.460064i) q^{76} +(-2.28089 + 2.53318i) q^{77} +(0.610639 - 10.8857i) q^{78} +(1.66525 + 15.8438i) q^{79} +(-7.47366 - 6.08562i) q^{80} +(8.77486 + 2.00047i) q^{81} -12.4381 q^{82} +(0.184562 - 0.0821725i) q^{83} +(2.36954 + 3.67831i) q^{84} +(7.44602 + 3.81936i) q^{85} +(-8.38852 + 9.31639i) q^{86} +(6.45414 - 0.314456i) q^{87} +(0.548216 + 0.608856i) q^{88} +(-3.30633 - 10.1758i) q^{89} +(-12.9462 - 2.18419i) q^{90} +(-1.37158 + 4.22128i) q^{91} +(0.974347 - 0.433807i) q^{92} +(-14.6434 - 2.37450i) q^{93} +(1.46973 - 13.9836i) q^{94} +(0.577400 + 0.296171i) q^{95} +(12.0174 - 6.06762i) q^{96} +(-1.15412 - 10.9807i) q^{97} +(3.08177 + 9.48471i) q^{98} +(7.03043 + 2.34162i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.91440 + 0.406919i 1.35369 + 0.287735i 0.826942 0.562288i \(-0.190079\pi\)
0.526746 + 0.850023i \(0.323412\pi\)
\(3\) −0.0970075 + 1.72933i −0.0560073 + 0.998430i
\(4\) 1.67227 + 0.744541i 0.836134 + 0.372271i
\(5\) 2.20948 0.343819i 0.988108 0.153761i
\(6\) −0.889410 + 3.27117i −0.363100 + 1.33545i
\(7\) 0.690014 1.19514i 0.260801 0.451720i −0.705654 0.708556i \(-0.749347\pi\)
0.966455 + 0.256836i \(0.0826801\pi\)
\(8\) −0.268345 0.194964i −0.0948743 0.0689302i
\(9\) −2.98118 0.335516i −0.993726 0.111839i
\(10\) 4.36974 + 0.240869i 1.38183 + 0.0761696i
\(11\) −2.41607 0.513552i −0.728473 0.154842i −0.171277 0.985223i \(-0.554789\pi\)
−0.557196 + 0.830381i \(0.688123\pi\)
\(12\) −1.44978 + 2.81968i −0.418516 + 0.813971i
\(13\) −3.14597 + 0.668696i −0.872535 + 0.185463i −0.622354 0.782736i \(-0.713823\pi\)
−0.250181 + 0.968199i \(0.580490\pi\)
\(14\) 1.80729 2.00720i 0.483019 0.536447i
\(15\) 0.380242 + 3.85427i 0.0981780 + 0.995169i
\(16\) −2.88411 3.20312i −0.721027 0.800781i
\(17\) 3.02773 + 2.19977i 0.734332 + 0.533523i 0.890931 0.454139i \(-0.150053\pi\)
−0.156599 + 0.987662i \(0.550053\pi\)
\(18\) −5.57065 1.85541i −1.31302 0.437325i
\(19\) 0.234784 + 0.170581i 0.0538632 + 0.0391339i 0.614391 0.789002i \(-0.289402\pi\)
−0.560528 + 0.828136i \(0.689402\pi\)
\(20\) 3.95082 + 1.07009i 0.883431 + 0.239279i
\(21\) 1.99986 + 1.30920i 0.436404 + 0.285691i
\(22\) −4.41636 1.96629i −0.941571 0.419214i
\(23\) 0.389869 0.432993i 0.0812933 0.0902854i −0.701126 0.713038i \(-0.747319\pi\)
0.782419 + 0.622752i \(0.213986\pi\)
\(24\) 0.363189 0.445145i 0.0741357 0.0908648i
\(25\) 4.76358 1.51932i 0.952715 0.303864i
\(26\) −6.29476 −1.23450
\(27\) 0.869416 5.12290i 0.167319 0.985903i
\(28\) 2.04372 1.48485i 0.386227 0.280610i
\(29\) −0.389966 3.71028i −0.0724150 0.688982i −0.969160 0.246434i \(-0.920741\pi\)
0.896745 0.442548i \(-0.145925\pi\)
\(30\) −0.840441 + 7.53336i −0.153443 + 1.37540i
\(31\) −0.895263 + 8.51786i −0.160794 + 1.52985i 0.555182 + 0.831729i \(0.312649\pi\)
−0.715976 + 0.698125i \(0.754018\pi\)
\(32\) −3.88624 6.73116i −0.686996 1.18991i
\(33\) 1.12248 4.12837i 0.195398 0.718657i
\(34\) 4.90116 + 5.44329i 0.840543 + 0.933517i
\(35\) 1.11366 2.87787i 0.188243 0.486449i
\(36\) −4.73552 2.78068i −0.789254 0.463447i
\(37\) 2.37815 7.31918i 0.390965 1.20327i −0.541095 0.840961i \(-0.681990\pi\)
0.932060 0.362304i \(-0.118010\pi\)
\(38\) 0.380060 + 0.422099i 0.0616538 + 0.0684735i
\(39\) −0.851215 5.50529i −0.136304 0.881553i
\(40\) −0.659934 0.338506i −0.104345 0.0535226i
\(41\) −6.21628 + 1.32131i −0.970820 + 0.206354i −0.665914 0.746028i \(-0.731958\pi\)
−0.304906 + 0.952382i \(0.598625\pi\)
\(42\) 3.29579 + 3.32012i 0.508552 + 0.512305i
\(43\) −3.20269 + 5.54723i −0.488406 + 0.845944i −0.999911 0.0133363i \(-0.995755\pi\)
0.511505 + 0.859280i \(0.329088\pi\)
\(44\) −3.65796 2.65766i −0.551458 0.400657i
\(45\) −6.70220 + 0.283671i −0.999105 + 0.0422872i
\(46\) 0.922560 0.670279i 0.136024 0.0988273i
\(47\) −0.750946 7.14477i −0.109537 1.04217i −0.901847 0.432055i \(-0.857789\pi\)
0.792311 0.610118i \(-0.208878\pi\)
\(48\) 5.81905 4.67685i 0.839907 0.675045i
\(49\) 2.54776 + 4.41285i 0.363966 + 0.630407i
\(50\) 9.73765 0.970205i 1.37711 0.137208i
\(51\) −4.09785 + 5.02255i −0.573814 + 0.703298i
\(52\) −5.75877 1.22407i −0.798598 0.169747i
\(53\) 6.69073 4.86110i 0.919043 0.667724i −0.0242428 0.999706i \(-0.507717\pi\)
0.943286 + 0.331982i \(0.107717\pi\)
\(54\) 3.74902 9.45352i 0.510177 1.28646i
\(55\) −5.51482 0.303989i −0.743618 0.0409899i
\(56\) −0.418171 + 0.186182i −0.0558804 + 0.0248796i
\(57\) −0.317767 + 0.389473i −0.0420892 + 0.0515869i
\(58\) 0.763232 7.26166i 0.100217 0.953503i
\(59\) 1.90295 0.404485i 0.247743 0.0526595i −0.0823661 0.996602i \(-0.526248\pi\)
0.330109 + 0.943943i \(0.392914\pi\)
\(60\) −2.23380 + 6.72848i −0.288382 + 0.868643i
\(61\) 12.8255 + 2.72614i 1.64214 + 0.349047i 0.934067 0.357098i \(-0.116234\pi\)
0.708068 + 0.706144i \(0.249567\pi\)
\(62\) −5.17998 + 15.9423i −0.657858 + 2.02468i
\(63\) −2.45804 + 3.33141i −0.309684 + 0.419719i
\(64\) −2.03692 6.26900i −0.254615 0.783625i
\(65\) −6.72104 + 2.55911i −0.833642 + 0.317419i
\(66\) 3.82879 7.44661i 0.471291 0.916614i
\(67\) −1.05779 + 10.0642i −0.129229 + 1.22954i 0.717136 + 0.696933i \(0.245453\pi\)
−0.846366 + 0.532602i \(0.821214\pi\)
\(68\) 3.42535 + 5.93288i 0.415385 + 0.719467i
\(69\) 0.710969 + 0.716217i 0.0855906 + 0.0862224i
\(70\) 3.30305 5.05624i 0.394790 0.604336i
\(71\) −10.4571 + 7.59752i −1.24103 + 0.901659i −0.997666 0.0682765i \(-0.978250\pi\)
−0.243361 + 0.969936i \(0.578250\pi\)
\(72\) 0.734571 + 0.671257i 0.0865700 + 0.0791084i
\(73\) 1.44065 + 4.43387i 0.168615 + 0.518945i 0.999285 0.0378214i \(-0.0120418\pi\)
−0.830669 + 0.556767i \(0.812042\pi\)
\(74\) 7.53104 13.0442i 0.875466 1.51635i
\(75\) 2.16531 + 8.38519i 0.250028 + 0.968239i
\(76\) 0.265618 + 0.460064i 0.0304685 + 0.0527729i
\(77\) −2.28089 + 2.53318i −0.259931 + 0.288683i
\(78\) 0.610639 10.8857i 0.0691413 1.23257i
\(79\) 1.66525 + 15.8438i 0.187355 + 1.78257i 0.534913 + 0.844907i \(0.320344\pi\)
−0.347558 + 0.937658i \(0.612989\pi\)
\(80\) −7.47366 6.08562i −0.835581 0.680393i
\(81\) 8.77486 + 2.00047i 0.974984 + 0.222274i
\(82\) −12.4381 −1.37356
\(83\) 0.184562 0.0821725i 0.0202584 0.00901960i −0.396582 0.917999i \(-0.629804\pi\)
0.416841 + 0.908979i \(0.363137\pi\)
\(84\) 2.36954 + 3.67831i 0.258538 + 0.401336i
\(85\) 7.44602 + 3.81936i 0.807634 + 0.414267i
\(86\) −8.38852 + 9.31639i −0.904557 + 1.00461i
\(87\) 6.45414 0.314456i 0.691957 0.0337132i
\(88\) 0.548216 + 0.608856i 0.0584401 + 0.0649043i
\(89\) −3.30633 10.1758i −0.350471 1.07864i −0.958589 0.284792i \(-0.908076\pi\)
0.608119 0.793846i \(-0.291924\pi\)
\(90\) −12.9462 2.18419i −1.36464 0.230234i
\(91\) −1.37158 + 4.22128i −0.143780 + 0.442510i
\(92\) 0.974347 0.433807i 0.101583 0.0452275i
\(93\) −14.6434 2.37450i −1.51845 0.246225i
\(94\) 1.46973 13.9836i 0.151591 1.44229i
\(95\) 0.577400 + 0.296171i 0.0592400 + 0.0303865i
\(96\) 12.0174 6.06762i 1.22652 0.619274i
\(97\) −1.15412 10.9807i −0.117183 1.11492i −0.882188 0.470897i \(-0.843930\pi\)
0.765006 0.644024i \(-0.222736\pi\)
\(98\) 3.08177 + 9.48471i 0.311306 + 0.958101i
\(99\) 7.03043 + 2.34162i 0.706585 + 0.235342i
\(100\) 9.09717 + 1.00597i 0.909717 + 0.100597i
\(101\) 7.27293 12.5971i 0.723684 1.25346i −0.235830 0.971794i \(-0.575781\pi\)
0.959513 0.281663i \(-0.0908859\pi\)
\(102\) −9.88871 + 7.94770i −0.979128 + 0.786940i
\(103\) −5.29819 2.35891i −0.522046 0.232430i 0.128757 0.991676i \(-0.458901\pi\)
−0.650803 + 0.759246i \(0.725568\pi\)
\(104\) 0.974577 + 0.433910i 0.0955651 + 0.0425483i
\(105\) 4.86876 + 2.20506i 0.475143 + 0.215192i
\(106\) 14.7868 6.58352i 1.43622 0.639448i
\(107\) −12.8622 −1.24344 −0.621718 0.783241i \(-0.713565\pi\)
−0.621718 + 0.783241i \(0.713565\pi\)
\(108\) 5.26811 7.91954i 0.506924 0.762059i
\(109\) −4.92848 + 15.1683i −0.472063 + 1.45286i 0.377816 + 0.925881i \(0.376675\pi\)
−0.849878 + 0.526979i \(0.823325\pi\)
\(110\) −10.4339 2.82604i −0.994833 0.269453i
\(111\) 12.4266 + 4.82262i 1.17948 + 0.457743i
\(112\) −5.81825 + 1.23671i −0.549773 + 0.116858i
\(113\) −7.23421 + 1.53768i −0.680537 + 0.144653i −0.535195 0.844729i \(-0.679762\pi\)
−0.145343 + 0.989381i \(0.546428\pi\)
\(114\) −0.766818 + 0.616302i −0.0718191 + 0.0577220i
\(115\) 0.712535 1.09073i 0.0664442 0.101711i
\(116\) 2.11033 6.49493i 0.195939 0.603039i
\(117\) 9.60306 0.937979i 0.887803 0.0867162i
\(118\) 3.80761 0.350519
\(119\) 4.71821 2.10068i 0.432518 0.192569i
\(120\) 0.649409 1.10841i 0.0592826 0.101183i
\(121\) −4.47534 1.99255i −0.406849 0.181141i
\(122\) 23.4438 + 10.4379i 2.12251 + 0.945000i
\(123\) −1.68196 10.8782i −0.151657 0.980854i
\(124\) −7.83902 + 13.5776i −0.703965 + 1.21930i
\(125\) 10.0026 4.99472i 0.894663 0.446741i
\(126\) −6.06130 + 5.37744i −0.539984 + 0.479061i
\(127\) −4.27237 13.1490i −0.379112 1.16679i −0.940663 0.339343i \(-0.889795\pi\)
0.561551 0.827442i \(-0.310205\pi\)
\(128\) 0.276375 + 2.62953i 0.0244283 + 0.232420i
\(129\) −9.28231 6.07664i −0.817262 0.535018i
\(130\) −13.9081 + 2.16426i −1.21982 + 0.189818i
\(131\) −0.771502 + 7.34035i −0.0674065 + 0.641330i 0.907704 + 0.419611i \(0.137833\pi\)
−0.975111 + 0.221719i \(0.928833\pi\)
\(132\) 4.95083 6.06801i 0.430914 0.528152i
\(133\) 0.365872 0.162897i 0.0317252 0.0141250i
\(134\) −6.12034 + 18.8365i −0.528717 + 1.62722i
\(135\) 0.159603 11.6179i 0.0137364 0.999906i
\(136\) −0.383599 1.18060i −0.0328933 0.101235i
\(137\) −2.81986 3.13177i −0.240917 0.267565i 0.610545 0.791981i \(-0.290950\pi\)
−0.851462 + 0.524416i \(0.824284\pi\)
\(138\) 1.06964 + 1.66043i 0.0910538 + 0.141346i
\(139\) −0.238755 + 0.265165i −0.0202510 + 0.0224910i −0.753185 0.657809i \(-0.771484\pi\)
0.732934 + 0.680299i \(0.238150\pi\)
\(140\) 4.00503 3.98341i 0.338487 0.336659i
\(141\) 12.4285 0.605538i 1.04667 0.0509955i
\(142\) −23.1107 + 10.2895i −1.93940 + 0.863478i
\(143\) 7.94429 0.664335
\(144\) 7.52334 + 10.5168i 0.626945 + 0.876396i
\(145\) −2.13729 8.06371i −0.177492 0.669654i
\(146\) 0.953763 + 9.07444i 0.0789339 + 0.751006i
\(147\) −7.87844 + 3.97785i −0.649803 + 0.328087i
\(148\) 9.42633 10.4690i 0.774839 0.860546i
\(149\) 11.6755 + 20.2226i 0.956497 + 1.65670i 0.730905 + 0.682479i \(0.239098\pi\)
0.225591 + 0.974222i \(0.427569\pi\)
\(150\) 0.733181 + 16.9337i 0.0598639 + 1.38263i
\(151\) 4.03983 6.99720i 0.328757 0.569424i −0.653508 0.756919i \(-0.726704\pi\)
0.982265 + 0.187495i \(0.0600369\pi\)
\(152\) −0.0297461 0.0915490i −0.00241273 0.00742561i
\(153\) −8.28814 7.57377i −0.670056 0.612303i
\(154\) −5.39734 + 3.92140i −0.434930 + 0.315995i
\(155\) 0.950541 + 19.1278i 0.0763493 + 1.53638i
\(156\) 2.67546 9.84009i 0.214208 0.787838i
\(157\) 8.40415 + 14.5564i 0.670724 + 1.16173i 0.977699 + 0.210011i \(0.0673500\pi\)
−0.306975 + 0.951718i \(0.599317\pi\)
\(158\) −3.25918 + 31.0090i −0.259286 + 2.46695i
\(159\) 7.75741 + 12.0421i 0.615202 + 0.954998i
\(160\) −10.9009 13.5362i −0.861788 1.07013i
\(161\) −0.248472 0.764719i −0.0195824 0.0602683i
\(162\) 15.9846 + 7.40036i 1.25587 + 0.581427i
\(163\) 1.89571 5.83439i 0.148483 0.456985i −0.848959 0.528459i \(-0.822770\pi\)
0.997442 + 0.0714737i \(0.0227702\pi\)
\(164\) −11.3791 2.41869i −0.888555 0.188868i
\(165\) 1.06068 9.50747i 0.0825736 0.740155i
\(166\) 0.386765 0.0822094i 0.0300188 0.00638068i
\(167\) 2.12840 20.2504i 0.164701 1.56702i −0.530172 0.847890i \(-0.677873\pi\)
0.694873 0.719133i \(-0.255461\pi\)
\(168\) −0.281404 0.741218i −0.0217108 0.0571862i
\(169\) −2.42612 + 1.08018i −0.186625 + 0.0830908i
\(170\) 12.7005 + 10.3417i 0.974085 + 0.793174i
\(171\) −0.642702 0.587306i −0.0491486 0.0449124i
\(172\) −9.48590 + 6.89191i −0.723293 + 0.525503i
\(173\) 12.8509 + 2.73155i 0.977037 + 0.207676i 0.668644 0.743583i \(-0.266875\pi\)
0.308394 + 0.951259i \(0.400209\pi\)
\(174\) 12.4838 + 2.02432i 0.946394 + 0.153463i
\(175\) 1.47113 6.74149i 0.111207 0.509609i
\(176\) 5.32323 + 9.22011i 0.401254 + 0.694992i
\(177\) 0.514888 + 3.33007i 0.0387014 + 0.250304i
\(178\) −2.18891 20.8261i −0.164066 1.56098i
\(179\) 4.14235 3.00959i 0.309614 0.224947i −0.422117 0.906541i \(-0.638713\pi\)
0.731731 + 0.681594i \(0.238713\pi\)
\(180\) −11.4191 4.51569i −0.851128 0.336580i
\(181\) −7.20858 5.23734i −0.535810 0.389289i 0.286717 0.958015i \(-0.407436\pi\)
−0.822526 + 0.568727i \(0.807436\pi\)
\(182\) −4.34347 + 7.52312i −0.321960 + 0.557650i
\(183\) −5.95857 + 21.9151i −0.440470 + 1.62001i
\(184\) −0.189038 + 0.0401812i −0.0139360 + 0.00296220i
\(185\) 2.73798 16.9892i 0.201301 1.24907i
\(186\) −27.0671 10.5044i −1.98465 0.770222i
\(187\) −6.18551 6.86970i −0.452329 0.502362i
\(188\) 4.06380 12.5071i 0.296383 0.912173i
\(189\) −5.52267 4.57395i −0.401715 0.332706i
\(190\) 0.984859 + 0.801946i 0.0714492 + 0.0581793i
\(191\) −1.26020 1.39960i −0.0911850 0.101271i 0.695825 0.718211i \(-0.255039\pi\)
−0.787010 + 0.616940i \(0.788372\pi\)
\(192\) 11.0388 2.91438i 0.796656 0.210327i
\(193\) −0.740550 1.28267i −0.0533060 0.0923286i 0.838141 0.545453i \(-0.183643\pi\)
−0.891447 + 0.453125i \(0.850309\pi\)
\(194\) 2.25881 21.4911i 0.162173 1.54297i
\(195\) −3.77357 11.8712i −0.270231 0.850111i
\(196\) 0.974987 + 9.27638i 0.0696419 + 0.662599i
\(197\) 15.6165 11.3460i 1.11263 0.808372i 0.129553 0.991572i \(-0.458646\pi\)
0.983076 + 0.183200i \(0.0586457\pi\)
\(198\) 12.5062 + 7.34362i 0.888780 + 0.521889i
\(199\) 6.17381 0.437650 0.218825 0.975764i \(-0.429778\pi\)
0.218825 + 0.975764i \(0.429778\pi\)
\(200\) −1.57449 0.521024i −0.111334 0.0368420i
\(201\) −17.3017 2.80557i −1.22037 0.197889i
\(202\) 19.0493 21.1564i 1.34031 1.48856i
\(203\) −4.70339 2.09408i −0.330113 0.146976i
\(204\) −10.5922 + 5.34803i −0.741602 + 0.374437i
\(205\) −13.2804 + 5.05669i −0.927546 + 0.353174i
\(206\) −9.18299 6.67183i −0.639809 0.464848i
\(207\) −1.30755 + 1.16002i −0.0908807 + 0.0806272i
\(208\) 11.2152 + 8.14834i 0.777636 + 0.564986i
\(209\) −0.479654 0.532709i −0.0331783 0.0368483i
\(210\) 8.42350 + 6.20257i 0.581277 + 0.428018i
\(211\) 18.9442 21.0397i 1.30417 1.44843i 0.485428 0.874277i \(-0.338664\pi\)
0.818746 0.574155i \(-0.194669\pi\)
\(212\) 14.8080 3.14753i 1.01702 0.216174i
\(213\) −12.1242 18.8208i −0.830737 1.28958i
\(214\) −24.6235 5.23388i −1.68323 0.357781i
\(215\) −5.16903 + 13.3576i −0.352525 + 0.910982i
\(216\) −1.23208 + 1.20520i −0.0838328 + 0.0820035i
\(217\) 9.56229 + 6.94741i 0.649130 + 0.471621i
\(218\) −15.6074 + 27.0328i −1.05706 + 1.83089i
\(219\) −7.80739 + 2.06125i −0.527574 + 0.139286i
\(220\) −8.99592 4.61436i −0.606505 0.311100i
\(221\) −10.9961 4.89579i −0.739679 0.329326i
\(222\) 21.8271 + 14.2891i 1.46494 + 0.959019i
\(223\) −0.103154 0.0219260i −0.00690767 0.00146827i 0.204457 0.978876i \(-0.434457\pi\)
−0.211364 + 0.977407i \(0.567791\pi\)
\(224\) −10.7262 −0.716677
\(225\) −14.7108 + 2.93111i −0.980722 + 0.195407i
\(226\) −14.4749 −0.962857
\(227\) 9.80643 + 2.08442i 0.650876 + 0.138348i 0.521505 0.853248i \(-0.325371\pi\)
0.129371 + 0.991596i \(0.458704\pi\)
\(228\) −0.821370 + 0.414712i −0.0543965 + 0.0274650i
\(229\) −16.0211 7.13304i −1.05870 0.471365i −0.197857 0.980231i \(-0.563398\pi\)
−0.860846 + 0.508866i \(0.830065\pi\)
\(230\) 1.80792 1.79816i 0.119211 0.118567i
\(231\) −4.15945 4.19015i −0.273672 0.275692i
\(232\) −0.618726 + 1.07167i −0.0406214 + 0.0703583i
\(233\) −7.01516 5.09682i −0.459579 0.333903i 0.333787 0.942648i \(-0.391673\pi\)
−0.793366 + 0.608745i \(0.791673\pi\)
\(234\) 18.7658 + 2.11200i 1.22676 + 0.138065i
\(235\) −4.11571 15.5280i −0.268479 1.01294i
\(236\) 3.48340 + 0.740420i 0.226750 + 0.0481972i
\(237\) −27.5607 + 1.34280i −1.79026 + 0.0872244i
\(238\) 9.88737 2.10162i 0.640903 0.136228i
\(239\) −6.77888 + 7.52871i −0.438490 + 0.486992i −0.921366 0.388697i \(-0.872925\pi\)
0.482876 + 0.875689i \(0.339592\pi\)
\(240\) 11.2491 12.3341i 0.726123 0.796162i
\(241\) −5.45189 6.05494i −0.351187 0.390033i 0.541507 0.840697i \(-0.317854\pi\)
−0.892694 + 0.450663i \(0.851187\pi\)
\(242\) −7.75680 5.63564i −0.498626 0.362273i
\(243\) −4.31070 + 14.9806i −0.276532 + 0.961005i
\(244\) 19.4179 + 14.1079i 1.24310 + 0.903168i
\(245\) 7.14644 + 8.87413i 0.456570 + 0.566947i
\(246\) 1.20659 21.5097i 0.0769296 1.37141i
\(247\) −0.852691 0.379643i −0.0542555 0.0241561i
\(248\) 1.90092 2.11118i 0.120708 0.134060i
\(249\) 0.124200 + 0.327141i 0.00787083 + 0.0207317i
\(250\) 21.1815 5.49164i 1.33964 0.347322i
\(251\) 23.5790 1.48829 0.744146 0.668017i \(-0.232857\pi\)
0.744146 + 0.668017i \(0.232857\pi\)
\(252\) −6.59088 + 3.74090i −0.415187 + 0.235654i
\(253\) −1.16432 + 0.845925i −0.0731999 + 0.0531828i
\(254\) −2.82846 26.9110i −0.177473 1.68855i
\(255\) −7.32726 + 12.5061i −0.458851 + 0.783164i
\(256\) −1.91894 + 18.2575i −0.119934 + 1.14109i
\(257\) −6.51124 11.2778i −0.406160 0.703490i 0.588296 0.808646i \(-0.299799\pi\)
−0.994456 + 0.105156i \(0.966466\pi\)
\(258\) −15.2974 15.4103i −0.952374 0.959403i
\(259\) −7.10649 7.89255i −0.441576 0.490419i
\(260\) −13.1447 0.724566i −0.815202 0.0449357i
\(261\) −0.0823011 + 11.1919i −0.00509431 + 0.692759i
\(262\) −4.46390 + 13.7385i −0.275780 + 0.848765i
\(263\) −7.53929 8.37323i −0.464892 0.516315i 0.464417 0.885616i \(-0.346264\pi\)
−0.929310 + 0.369301i \(0.879597\pi\)
\(264\) −1.10610 + 0.888984i −0.0680754 + 0.0547132i
\(265\) 13.1117 13.0409i 0.805444 0.801096i
\(266\) 0.766713 0.162970i 0.0470102 0.00999233i
\(267\) 17.9182 4.73061i 1.09657 0.289509i
\(268\) −9.26210 + 16.0424i −0.565773 + 0.979948i
\(269\) −17.7014 12.8608i −1.07927 0.784136i −0.101715 0.994814i \(-0.532433\pi\)
−0.977556 + 0.210677i \(0.932433\pi\)
\(270\) 5.03307 22.1763i 0.306303 1.34961i
\(271\) −9.50877 + 6.90853i −0.577617 + 0.419663i −0.837864 0.545879i \(-0.816196\pi\)
0.260247 + 0.965542i \(0.416196\pi\)
\(272\) −1.68614 16.0426i −0.102237 0.972724i
\(273\) −7.16694 2.78141i −0.433763 0.168339i
\(274\) −4.12397 7.14292i −0.249138 0.431520i
\(275\) −12.2894 + 1.22445i −0.741078 + 0.0738368i
\(276\) 0.655678 + 1.72705i 0.0394672 + 0.103956i
\(277\) 21.5247 + 4.57521i 1.29329 + 0.274898i 0.802643 0.596460i \(-0.203426\pi\)
0.490649 + 0.871357i \(0.336760\pi\)
\(278\) −0.564974 + 0.410478i −0.0338849 + 0.0246188i
\(279\) 5.52682 25.0929i 0.330882 1.50227i
\(280\) −0.859926 + 0.555139i −0.0513904 + 0.0331759i
\(281\) 1.17625 0.523699i 0.0701690 0.0312413i −0.371352 0.928492i \(-0.621106\pi\)
0.441521 + 0.897251i \(0.354439\pi\)
\(282\) 24.0396 + 3.89816i 1.43154 + 0.232132i
\(283\) −0.803811 + 7.64775i −0.0477816 + 0.454611i 0.944306 + 0.329067i \(0.106734\pi\)
−0.992088 + 0.125544i \(0.959932\pi\)
\(284\) −23.1437 + 4.91935i −1.37333 + 0.291909i
\(285\) −0.568190 + 0.969785i −0.0336567 + 0.0574451i
\(286\) 15.2086 + 3.23268i 0.899302 + 0.191153i
\(287\) −2.71017 + 8.34105i −0.159976 + 0.492356i
\(288\) 9.32716 + 21.3707i 0.549608 + 1.25928i
\(289\) −0.925154 2.84733i −0.0544209 0.167490i
\(290\) −0.810357 16.3069i −0.0475858 0.957574i
\(291\) 19.1012 0.930642i 1.11973 0.0545552i
\(292\) −0.892045 + 8.48724i −0.0522030 + 0.496678i
\(293\) −5.62660 9.74556i −0.328710 0.569342i 0.653546 0.756886i \(-0.273280\pi\)
−0.982256 + 0.187545i \(0.939947\pi\)
\(294\) −16.7012 + 4.40932i −0.974032 + 0.257157i
\(295\) 4.06546 1.54797i 0.236700 0.0901264i
\(296\) −2.06514 + 1.50041i −0.120034 + 0.0872097i
\(297\) −4.73144 + 11.9308i −0.274546 + 0.692295i
\(298\) 14.1227 + 43.4652i 0.818107 + 2.51787i
\(299\) −0.936975 + 1.62289i −0.0541867 + 0.0938540i
\(300\) −2.62215 + 15.6344i −0.151390 + 0.902655i
\(301\) 4.41980 + 7.65533i 0.254753 + 0.441246i
\(302\) 10.5812 11.7516i 0.608878 0.676227i
\(303\) 21.0790 + 13.7993i 1.21096 + 0.792751i
\(304\) −0.130751 1.24402i −0.00749911 0.0713493i
\(305\) 29.2749 + 1.61370i 1.67628 + 0.0924000i
\(306\) −12.7849 17.8719i −0.730866 1.02167i
\(307\) 22.3350 1.27473 0.637363 0.770563i \(-0.280025\pi\)
0.637363 + 0.770563i \(0.280025\pi\)
\(308\) −5.70031 + 2.53794i −0.324806 + 0.144613i
\(309\) 4.59329 8.93349i 0.261303 0.508209i
\(310\) −5.96376 + 37.0052i −0.338719 + 2.10175i
\(311\) −11.1931 + 12.4312i −0.634705 + 0.704911i −0.971599 0.236631i \(-0.923957\pi\)
0.336895 + 0.941542i \(0.390623\pi\)
\(312\) −0.844915 + 1.64327i −0.0478339 + 0.0930321i
\(313\) 9.83191 + 10.9194i 0.555732 + 0.617203i 0.953906 0.300107i \(-0.0970223\pi\)
−0.398173 + 0.917310i \(0.630356\pi\)
\(314\) 10.1657 + 31.2867i 0.573681 + 1.76561i
\(315\) −4.28559 + 8.20580i −0.241466 + 0.462345i
\(316\) −9.01161 + 27.7349i −0.506943 + 1.56021i
\(317\) 2.69931 1.20181i 0.151608 0.0675003i −0.329530 0.944145i \(-0.606890\pi\)
0.481138 + 0.876645i \(0.340224\pi\)
\(318\) 9.95067 + 26.2100i 0.558006 + 1.46978i
\(319\) −0.963235 + 9.16457i −0.0539308 + 0.513118i
\(320\) −6.65594 13.1509i −0.372078 0.735157i
\(321\) 1.24773 22.2430i 0.0696416 1.24149i
\(322\) −0.164498 1.56509i −0.00916709 0.0872190i
\(323\) 0.335624 + 1.03294i 0.0186746 + 0.0574746i
\(324\) 13.1845 + 9.87856i 0.732471 + 0.548809i
\(325\) −13.9701 + 7.96512i −0.774922 + 0.441826i
\(326\) 6.00328 10.3980i 0.332491 0.575891i
\(327\) −25.7529 9.99442i −1.42414 0.552692i
\(328\) 1.92572 + 0.857384i 0.106330 + 0.0473411i
\(329\) −9.05716 4.03251i −0.499338 0.222319i
\(330\) 5.89933 17.7695i 0.324748 0.978180i
\(331\) −10.5752 + 4.70838i −0.581265 + 0.258796i −0.676237 0.736684i \(-0.736390\pi\)
0.0949721 + 0.995480i \(0.469724\pi\)
\(332\) 0.369819 0.0202964
\(333\) −9.54538 + 21.0219i −0.523084 + 1.15199i
\(334\) 12.3149 37.9013i 0.673841 2.07387i
\(335\) 1.12310 + 22.6003i 0.0613616 + 1.23478i
\(336\) −1.57426 10.1817i −0.0858832 0.555455i
\(337\) 19.7551 4.19908i 1.07613 0.228738i 0.364436 0.931229i \(-0.381262\pi\)
0.711693 + 0.702490i \(0.247929\pi\)
\(338\) −5.08413 + 1.08066i −0.276540 + 0.0587804i
\(339\) −1.95738 12.6595i −0.106311 0.687571i
\(340\) 9.60807 + 11.9309i 0.521071 + 0.647041i
\(341\) 6.53738 20.1200i 0.354019 1.08956i
\(342\) −0.991404 1.38587i −0.0536090 0.0749392i
\(343\) 16.6922 0.901292
\(344\) 1.94094 0.864160i 0.104648 0.0465924i
\(345\) 1.81712 + 1.33802i 0.0978304 + 0.0720365i
\(346\) 23.4903 + 10.4586i 1.26285 + 0.562256i
\(347\) 2.29308 + 1.02095i 0.123099 + 0.0548072i 0.467362 0.884066i \(-0.345204\pi\)
−0.344263 + 0.938873i \(0.611871\pi\)
\(348\) 11.0272 + 4.27952i 0.591119 + 0.229406i
\(349\) −4.09655 + 7.09543i −0.219283 + 0.379810i −0.954589 0.297926i \(-0.903705\pi\)
0.735306 + 0.677735i \(0.237039\pi\)
\(350\) 5.55958 12.3073i 0.297172 0.657853i
\(351\) 0.690509 + 16.6979i 0.0368566 + 0.891266i
\(352\) 5.93263 + 18.2587i 0.316210 + 0.973194i
\(353\) 2.01664 + 19.1871i 0.107335 + 1.02122i 0.907101 + 0.420913i \(0.138290\pi\)
−0.799766 + 0.600312i \(0.795043\pi\)
\(354\) −0.369367 + 6.58462i −0.0196316 + 0.349969i
\(355\) −20.4925 + 20.3819i −1.08763 + 1.08176i
\(356\) 2.04727 19.4784i 0.108505 1.03236i
\(357\) 3.17508 + 8.36313i 0.168043 + 0.442624i
\(358\) 9.15479 4.07597i 0.483845 0.215422i
\(359\) −8.64746 + 26.6141i −0.456395 + 1.40464i 0.413094 + 0.910688i \(0.364448\pi\)
−0.869489 + 0.493952i \(0.835552\pi\)
\(360\) 1.85381 + 1.23057i 0.0977043 + 0.0648566i
\(361\) −5.84530 17.9900i −0.307647 0.946841i
\(362\) −11.6690 12.9597i −0.613307 0.681147i
\(363\) 3.87992 7.54606i 0.203643 0.396065i
\(364\) −5.43656 + 6.03791i −0.284953 + 0.316473i
\(365\) 4.70754 + 9.30121i 0.246404 + 0.486847i
\(366\) −20.3248 + 39.5296i −1.06239 + 2.06625i
\(367\) 2.92910 1.30412i 0.152898 0.0680744i −0.328861 0.944378i \(-0.606665\pi\)
0.481759 + 0.876304i \(0.339998\pi\)
\(368\) −2.51136 −0.130913
\(369\) 18.9752 1.85340i 0.987808 0.0964842i
\(370\) 12.1548 31.4101i 0.631900 1.63293i
\(371\) −1.19299 11.3506i −0.0619372 0.589293i
\(372\) −22.7197 14.8734i −1.17796 0.771150i
\(373\) 10.2416 11.3744i 0.530288 0.588945i −0.417168 0.908829i \(-0.636977\pi\)
0.947457 + 0.319884i \(0.103644\pi\)
\(374\) −9.04614 15.6684i −0.467765 0.810193i
\(375\) 7.66719 + 17.7824i 0.395932 + 0.918280i
\(376\) −1.19146 + 2.06367i −0.0614449 + 0.106426i
\(377\) 3.70788 + 11.4117i 0.190965 + 0.587731i
\(378\) −8.71140 11.0037i −0.448066 0.565967i
\(379\) 5.89428 4.28245i 0.302769 0.219975i −0.426019 0.904714i \(-0.640084\pi\)
0.728788 + 0.684740i \(0.240084\pi\)
\(380\) 0.745055 + 0.925175i 0.0382205 + 0.0474605i
\(381\) 23.1535 6.11280i 1.18619 0.313168i
\(382\) −1.84301 3.19219i −0.0942968 0.163327i
\(383\) 3.10910 29.5811i 0.158867 1.51152i −0.567017 0.823706i \(-0.691903\pi\)
0.725884 0.687817i \(-0.241431\pi\)
\(384\) −4.57414 + 0.222860i −0.233423 + 0.0113728i
\(385\) −4.16861 + 6.38122i −0.212452 + 0.325217i
\(386\) −0.895769 2.75689i −0.0455934 0.140322i
\(387\) 11.4090 15.4627i 0.579951 0.786014i
\(388\) 6.24559 19.2219i 0.317072 0.975846i
\(389\) 4.40694 + 0.936723i 0.223441 + 0.0474938i 0.318271 0.948000i \(-0.396898\pi\)
−0.0948308 + 0.995493i \(0.530231\pi\)
\(390\) −2.39353 24.2617i −0.121201 1.22854i
\(391\) 2.13290 0.453363i 0.107866 0.0229275i
\(392\) 0.176669 1.68089i 0.00892311 0.0848977i
\(393\) −12.6191 2.04625i −0.636548 0.103220i
\(394\) 34.5132 15.3663i 1.73875 0.774141i
\(395\) 9.12673 + 34.4339i 0.459216 + 1.73256i
\(396\) 10.0133 + 9.15026i 0.503189 + 0.459818i
\(397\) −20.0082 + 14.5368i −1.00418 + 0.729582i −0.962981 0.269569i \(-0.913119\pi\)
−0.0412026 + 0.999151i \(0.513119\pi\)
\(398\) 11.8192 + 2.51224i 0.592441 + 0.125927i
\(399\) 0.246210 + 0.648517i 0.0123259 + 0.0324665i
\(400\) −18.6052 10.8764i −0.930262 0.543822i
\(401\) 7.15907 + 12.3999i 0.357507 + 0.619220i 0.987544 0.157345i \(-0.0502935\pi\)
−0.630037 + 0.776565i \(0.716960\pi\)
\(402\) −31.9808 12.4114i −1.59506 0.619023i
\(403\) −2.87939 27.3956i −0.143433 1.36467i
\(404\) 21.5413 15.6507i 1.07172 0.778651i
\(405\) 20.0756 + 1.40303i 0.997567 + 0.0697169i
\(406\) −8.15206 5.92282i −0.404580 0.293945i
\(407\) −9.50454 + 16.4624i −0.471123 + 0.816009i
\(408\) 2.07885 0.548843i 0.102919 0.0271718i
\(409\) −21.4203 + 4.55302i −1.05916 + 0.225132i −0.704385 0.709818i \(-0.748777\pi\)
−0.354779 + 0.934950i \(0.615444\pi\)
\(410\) −27.4818 + 4.27647i −1.35723 + 0.211200i
\(411\) 5.68942 4.57267i 0.280638 0.225553i
\(412\) −7.10368 7.88944i −0.349973 0.388685i
\(413\) 0.829648 2.55339i 0.0408243 0.125644i
\(414\) −2.97521 + 1.68869i −0.146223 + 0.0829945i
\(415\) 0.379534 0.245014i 0.0186306 0.0120273i
\(416\) 16.7271 + 18.5773i 0.820113 + 0.910828i
\(417\) −0.435397 0.438610i −0.0213215 0.0214788i
\(418\) −0.701481 1.21500i −0.0343106 0.0594276i
\(419\) 0.123849 1.17835i 0.00605044 0.0575661i −0.991080 0.133268i \(-0.957453\pi\)
0.997131 + 0.0757016i \(0.0241196\pi\)
\(420\) 6.50012 + 7.31245i 0.317173 + 0.356811i
\(421\) 1.24110 + 11.8083i 0.0604877 + 0.575502i 0.982228 + 0.187693i \(0.0601011\pi\)
−0.921740 + 0.387808i \(0.873232\pi\)
\(422\) 44.8283 32.5697i 2.18221 1.58547i
\(423\) −0.158485 + 21.5518i −0.00770578 + 1.04788i
\(424\) −2.74316 −0.133220
\(425\) 17.7650 + 5.87870i 0.861728 + 0.285159i
\(426\) −15.5521 40.9642i −0.753502 1.98472i
\(427\) 12.1079 13.4472i 0.585942 0.650754i
\(428\) −21.5091 9.57645i −1.03968 0.462895i
\(429\) −0.770656 + 13.7383i −0.0372076 + 0.663292i
\(430\) −15.3311 + 23.4685i −0.739330 + 1.13175i
\(431\) −16.7241 12.1508i −0.805573 0.585283i 0.106971 0.994262i \(-0.465885\pi\)
−0.912544 + 0.408979i \(0.865885\pi\)
\(432\) −18.9168 + 11.9901i −0.910134 + 0.576876i
\(433\) −10.6992 7.77342i −0.514170 0.373566i 0.300233 0.953866i \(-0.402936\pi\)
−0.814403 + 0.580299i \(0.802936\pi\)
\(434\) 15.4790 + 17.1912i 0.743018 + 0.825205i
\(435\) 14.1522 2.91384i 0.678544 0.139708i
\(436\) −19.5352 + 21.6960i −0.935565 + 1.03905i
\(437\) 0.165396 0.0351559i 0.00791194 0.00168174i
\(438\) −15.7852 + 0.769083i −0.754248 + 0.0367482i
\(439\) 13.6794 + 2.90764i 0.652881 + 0.138774i 0.522432 0.852681i \(-0.325025\pi\)
0.130449 + 0.991455i \(0.458358\pi\)
\(440\) 1.42061 + 1.15677i 0.0677248 + 0.0551466i
\(441\) −6.11475 14.0103i −0.291178 0.667158i
\(442\) −19.0588 13.8470i −0.906536 0.658637i
\(443\) 0.0129892 0.0224980i 0.000617136 0.00106891i −0.865717 0.500534i \(-0.833137\pi\)
0.866334 + 0.499465i \(0.166470\pi\)
\(444\) 17.1899 + 17.3168i 0.815799 + 0.821820i
\(445\) −10.8039 21.3465i −0.512155 1.01192i
\(446\) −0.188555 0.0839503i −0.00892836 0.00397516i
\(447\) −36.1042 + 18.2291i −1.70767 + 0.862208i
\(448\) −8.89784 1.89129i −0.420383 0.0893552i
\(449\) −32.1952 −1.51939 −0.759693 0.650282i \(-0.774651\pi\)
−0.759693 + 0.650282i \(0.774651\pi\)
\(450\) −29.3552 0.374788i −1.38382 0.0176677i
\(451\) 15.6975 0.739168
\(452\) −13.2424 2.81476i −0.622870 0.132395i
\(453\) 11.7086 + 7.66500i 0.550117 + 0.360133i
\(454\) 17.9253 + 7.98085i 0.841275 + 0.374560i
\(455\) −1.57911 + 9.79840i −0.0740299 + 0.459356i
\(456\) 0.161204 0.0425599i 0.00754908 0.00199305i
\(457\) 5.72265 9.91192i 0.267694 0.463660i −0.700572 0.713582i \(-0.747072\pi\)
0.968266 + 0.249922i \(0.0804050\pi\)
\(458\) −27.7682 20.1748i −1.29752 0.942707i
\(459\) 13.9016 13.5982i 0.648870 0.634711i
\(460\) 2.00365 1.29349i 0.0934205 0.0603091i
\(461\) −2.53271 0.538343i −0.117960 0.0250732i 0.148553 0.988904i \(-0.452538\pi\)
−0.266513 + 0.963831i \(0.585872\pi\)
\(462\) −6.25782 9.71420i −0.291140 0.451945i
\(463\) −27.8889 + 5.92797i −1.29611 + 0.275496i −0.803787 0.594918i \(-0.797185\pi\)
−0.492321 + 0.870414i \(0.663851\pi\)
\(464\) −10.7598 + 11.9500i −0.499511 + 0.554763i
\(465\) −33.1706 0.211742i −1.53825 0.00981928i
\(466\) −11.3559 12.6120i −0.526050 0.584238i
\(467\) −19.1318 13.9001i −0.885316 0.643220i 0.0493364 0.998782i \(-0.484289\pi\)
−0.934653 + 0.355562i \(0.884289\pi\)
\(468\) 16.7572 + 5.58132i 0.774604 + 0.257997i
\(469\) 11.2982 + 8.20863i 0.521703 + 0.379039i
\(470\) −1.56048 31.4017i −0.0719795 1.44845i
\(471\) −25.9882 + 13.1215i −1.19747 + 0.604606i
\(472\) −0.589508 0.262466i −0.0271343 0.0120810i
\(473\) 10.5867 11.7577i 0.486778 0.540621i
\(474\) −53.3087 8.64431i −2.44855 0.397046i
\(475\) 1.37758 + 0.455862i 0.0632077 + 0.0209164i
\(476\) 9.45415 0.433330
\(477\) −21.5773 + 12.2470i −0.987954 + 0.560750i
\(478\) −16.0411 + 11.6545i −0.733703 + 0.533066i
\(479\) 2.83024 + 26.9279i 0.129317 + 1.23037i 0.846082 + 0.533053i \(0.178955\pi\)
−0.716765 + 0.697315i \(0.754378\pi\)
\(480\) 24.4660 17.5381i 1.11672 0.800501i
\(481\) −2.58726 + 24.6162i −0.117969 + 1.12240i
\(482\) −7.97326 13.8101i −0.363172 0.629032i
\(483\) 1.34656 0.355508i 0.0612705 0.0161762i
\(484\) −6.00043 6.66415i −0.272747 0.302916i
\(485\) −6.32537 23.8648i −0.287220 1.08364i
\(486\) −14.3483 + 26.9248i −0.650853 + 1.22133i
\(487\) 1.88824 5.81140i 0.0855643 0.263340i −0.899116 0.437711i \(-0.855789\pi\)
0.984680 + 0.174371i \(0.0557893\pi\)
\(488\) −2.91016 3.23205i −0.131737 0.146308i
\(489\) 9.90570 + 3.84429i 0.447951 + 0.173845i
\(490\) 10.0701 + 19.8967i 0.454922 + 0.898841i
\(491\) 23.5777 5.01160i 1.06405 0.226170i 0.357556 0.933892i \(-0.383610\pi\)
0.706492 + 0.707721i \(0.250277\pi\)
\(492\) 5.28658 19.4435i 0.238337 0.876582i
\(493\) 6.98107 12.0916i 0.314411 0.544577i
\(494\) −1.47791 1.07377i −0.0664944 0.0483110i
\(495\) 16.3387 + 2.75656i 0.734369 + 0.123898i
\(496\) 29.8658 21.6988i 1.34101 0.974304i
\(497\) 1.86456 + 17.7401i 0.0836368 + 0.795751i
\(498\) 0.104648 + 0.676819i 0.00468940 + 0.0303290i
\(499\) −4.18052 7.24087i −0.187146 0.324146i 0.757152 0.653239i \(-0.226590\pi\)
−0.944298 + 0.329093i \(0.893257\pi\)
\(500\) 20.4459 0.905119i 0.914367 0.0404782i
\(501\) 34.8132 + 5.64516i 1.55534 + 0.252207i
\(502\) 45.1397 + 9.59474i 2.01468 + 0.428234i
\(503\) 21.1533 15.3688i 0.943178 0.685259i −0.00600579 0.999982i \(-0.501912\pi\)
0.949183 + 0.314723i \(0.101912\pi\)
\(504\) 1.30911 0.414738i 0.0583124 0.0184739i
\(505\) 11.7383 30.3335i 0.522345 1.34983i
\(506\) −2.57319 + 1.14566i −0.114392 + 0.0509308i
\(507\) −1.63264 4.30036i −0.0725080 0.190986i
\(508\) 2.64543 25.1696i 0.117372 1.11672i
\(509\) 31.8433 6.76850i 1.41143 0.300009i 0.561750 0.827307i \(-0.310128\pi\)
0.849680 + 0.527299i \(0.176795\pi\)
\(510\) −19.1163 + 20.9602i −0.846484 + 0.928133i
\(511\) 6.29316 + 1.33765i 0.278393 + 0.0591743i
\(512\) −9.46884 + 29.1421i −0.418468 + 1.28791i
\(513\) 1.07799 1.05447i 0.0475946 0.0465561i
\(514\) −7.87599 24.2398i −0.347395 1.06917i
\(515\) −12.5173 3.39033i −0.551576 0.149396i
\(516\) −10.9982 17.0728i −0.484168 0.751590i
\(517\) −1.85487 + 17.6479i −0.0815772 + 0.776155i
\(518\) −10.3931 18.0013i −0.456645 0.790931i
\(519\) −5.97039 + 21.9585i −0.262071 + 0.963872i
\(520\) 2.30249 + 0.623635i 0.100971 + 0.0273482i
\(521\) 12.7402 9.25627i 0.558157 0.405525i −0.272627 0.962120i \(-0.587893\pi\)
0.830784 + 0.556595i \(0.187893\pi\)
\(522\) −4.71174 + 21.3922i −0.206227 + 0.936313i
\(523\) −4.06035 12.4965i −0.177547 0.546432i 0.822194 0.569207i \(-0.192750\pi\)
−0.999741 + 0.0227752i \(0.992750\pi\)
\(524\) −6.75536 + 11.7006i −0.295109 + 0.511144i
\(525\) 11.5156 + 3.19805i 0.502580 + 0.139575i
\(526\) −11.0260 19.0976i −0.480757 0.832696i
\(527\) −21.4480 + 23.8204i −0.934289 + 1.03763i
\(528\) −16.4610 + 8.31122i −0.716374 + 0.361699i
\(529\) 2.36867 + 22.5364i 0.102986 + 0.979843i
\(530\) 30.4076 19.6301i 1.32082 0.852679i
\(531\) −5.80875 + 0.567370i −0.252078 + 0.0246218i
\(532\) 0.733120 0.0317848
\(533\) 18.6727 8.31361i 0.808803 0.360102i
\(534\) 36.2276 1.76507i 1.56772 0.0763819i
\(535\) −28.4188 + 4.42228i −1.22865 + 0.191192i
\(536\) 2.24601 2.49444i 0.0970127 0.107743i
\(537\) 4.80274 + 7.45545i 0.207254 + 0.321726i
\(538\) −28.6542 31.8238i −1.23537 1.37202i
\(539\) −3.88934 11.9702i −0.167526 0.515592i
\(540\) 8.91687 19.3093i 0.383721 0.830941i
\(541\) −10.0048 + 30.7916i −0.430139 + 1.32383i 0.467847 + 0.883809i \(0.345030\pi\)
−0.897987 + 0.440023i \(0.854970\pi\)
\(542\) −21.0148 + 9.35641i −0.902665 + 0.401892i
\(543\) 9.75639 11.9580i 0.418687 0.513166i
\(544\) 3.04056 28.9290i 0.130363 1.24032i
\(545\) −5.67421 + 35.2085i −0.243056 + 1.50817i
\(546\) −12.5886 8.24111i −0.538743 0.352687i
\(547\) −1.46528 13.9413i −0.0626511 0.596085i −0.980138 0.198318i \(-0.936452\pi\)
0.917487 0.397767i \(-0.130215\pi\)
\(548\) −2.38382 7.33666i −0.101832 0.313406i
\(549\) −37.3204 12.4303i −1.59280 0.530511i
\(550\) −24.0251 2.65670i −1.02443 0.113282i
\(551\) 0.541345 0.937637i 0.0230621 0.0399447i
\(552\) −0.0511485 0.330807i −0.00217703 0.0140801i
\(553\) 20.0846 + 8.94223i 0.854083 + 0.380262i
\(554\) 39.3452 + 17.5176i 1.67162 + 0.744251i
\(555\) 29.1144 + 6.38296i 1.23584 + 0.270942i
\(556\) −0.596689 + 0.265663i −0.0253052 + 0.0112666i
\(557\) −4.26938 −0.180900 −0.0904498 0.995901i \(-0.528830\pi\)
−0.0904498 + 0.995901i \(0.528830\pi\)
\(558\) 20.7913 45.7890i 0.880168 1.93840i
\(559\) 6.36616 19.5930i 0.269260 0.828697i
\(560\) −12.4301 + 4.73291i −0.525267 + 0.200002i
\(561\) 12.4800 10.0304i 0.526907 0.423483i
\(562\) 2.46491 0.523934i 0.103976 0.0221008i
\(563\) 11.9299 2.53577i 0.502784 0.106870i 0.0504643 0.998726i \(-0.483930\pi\)
0.452320 + 0.891856i \(0.350597\pi\)
\(564\) 21.2347 + 8.24094i 0.894141 + 0.347006i
\(565\) −15.4551 + 5.88473i −0.650203 + 0.247572i
\(566\) −4.65083 + 14.3138i −0.195489 + 0.601654i
\(567\) 8.44561 9.10683i 0.354682 0.382451i
\(568\) 4.28735 0.179893
\(569\) −15.1783 + 6.75783i −0.636309 + 0.283303i −0.699428 0.714703i \(-0.746562\pi\)
0.0631194 + 0.998006i \(0.479895\pi\)
\(570\) −1.48237 + 1.62535i −0.0620896 + 0.0680785i
\(571\) −15.2502 6.78981i −0.638199 0.284145i 0.0620173 0.998075i \(-0.480247\pi\)
−0.700217 + 0.713930i \(0.746913\pi\)
\(572\) 13.2850 + 5.91485i 0.555473 + 0.247313i
\(573\) 2.54262 2.04354i 0.106219 0.0853700i
\(574\) −8.58249 + 14.8653i −0.358226 + 0.620466i
\(575\) 1.19931 2.65493i 0.0500149 0.110718i
\(576\) 3.96908 + 19.3724i 0.165378 + 0.807185i
\(577\) 9.92545 + 30.5474i 0.413202 + 1.27171i 0.913849 + 0.406054i \(0.133095\pi\)
−0.500647 + 0.865651i \(0.666905\pi\)
\(578\) −0.612485 5.82741i −0.0254760 0.242388i
\(579\) 2.29000 1.15623i 0.0951692 0.0480512i
\(580\) 2.42965 15.0760i 0.100886 0.625996i
\(581\) 0.0291431 0.277278i 0.00120906 0.0115034i
\(582\) 36.9461 + 5.99103i 1.53147 + 0.248336i
\(583\) −18.6617 + 8.30873i −0.772889 + 0.344112i
\(584\) 0.477853 1.47068i 0.0197737 0.0608572i
\(585\) 20.8952 5.37416i 0.863912 0.222194i
\(586\) −6.80594 20.9465i −0.281151 0.865293i
\(587\) 7.24525 + 8.04666i 0.299043 + 0.332121i 0.873875 0.486150i \(-0.161599\pi\)
−0.574832 + 0.818272i \(0.694933\pi\)
\(588\) −16.1365 + 0.786198i −0.665459 + 0.0324222i
\(589\) −1.66318 + 1.84715i −0.0685301 + 0.0761104i
\(590\) 8.41283 1.30913i 0.346351 0.0538960i
\(591\) 18.1062 + 28.1067i 0.744788 + 1.15616i
\(592\) −30.3031 + 13.4918i −1.24545 + 0.554509i
\(593\) 8.57810 0.352260 0.176130 0.984367i \(-0.443642\pi\)
0.176130 + 0.984367i \(0.443642\pi\)
\(594\) −13.9128 + 20.9151i −0.570848 + 0.858155i
\(595\) 9.70252 6.26362i 0.397765 0.256783i
\(596\) 4.46804 + 42.5105i 0.183018 + 1.74130i
\(597\) −0.598906 + 10.6766i −0.0245116 + 0.436963i
\(598\) −2.45413 + 2.72559i −0.100357 + 0.111458i
\(599\) 6.67217 + 11.5565i 0.272617 + 0.472187i 0.969531 0.244968i \(-0.0787774\pi\)
−0.696914 + 0.717155i \(0.745444\pi\)
\(600\) 1.05376 2.67228i 0.0430196 0.109095i
\(601\) −3.48996 + 6.04478i −0.142358 + 0.246572i −0.928384 0.371622i \(-0.878802\pi\)
0.786026 + 0.618194i \(0.212135\pi\)
\(602\) 5.34619 + 16.4539i 0.217895 + 0.670610i
\(603\) 6.53015 29.6482i 0.265928 1.20737i
\(604\) 11.9654 8.69336i 0.486865 0.353728i
\(605\) −10.5732 2.86378i −0.429863 0.116429i
\(606\) 34.7385 + 34.9949i 1.41116 + 1.42157i
\(607\) 2.00295 + 3.46922i 0.0812974 + 0.140811i 0.903807 0.427939i \(-0.140760\pi\)
−0.822510 + 0.568751i \(0.807427\pi\)
\(608\) 0.235779 2.24329i 0.00956211 0.0909774i
\(609\) 4.07763 7.93058i 0.165234 0.321363i
\(610\) 55.3874 + 15.0018i 2.24257 + 0.607405i
\(611\) 7.14014 + 21.9751i 0.288859 + 0.889017i
\(612\) −8.22100 18.8362i −0.332314 0.761410i
\(613\) −11.1550 + 34.3317i −0.450548 + 1.38664i 0.425735 + 0.904848i \(0.360015\pi\)
−0.876283 + 0.481796i \(0.839985\pi\)
\(614\) 42.7582 + 9.08855i 1.72558 + 0.366784i
\(615\) −7.45639 23.4568i −0.300671 0.945871i
\(616\) 1.10594 0.235076i 0.0445598 0.00947147i
\(617\) −4.71827 + 44.8913i −0.189950 + 1.80726i 0.320393 + 0.947285i \(0.396185\pi\)
−0.510343 + 0.859971i \(0.670482\pi\)
\(618\) 12.4286 15.2332i 0.499953 0.612770i
\(619\) 10.7418 4.78255i 0.431749 0.192227i −0.179343 0.983787i \(-0.557397\pi\)
0.611092 + 0.791560i \(0.290731\pi\)
\(620\) −12.6519 + 32.6946i −0.508113 + 1.31305i
\(621\) −1.87922 2.37371i −0.0754107 0.0952538i
\(622\) −26.4867 + 19.2437i −1.06202 + 0.771602i
\(623\) −14.4430 3.06995i −0.578645 0.122995i
\(624\) −15.1791 + 18.6044i −0.607652 + 0.744772i
\(625\) 20.3833 14.4748i 0.815333 0.578992i
\(626\) 14.3789 + 24.9050i 0.574697 + 0.995405i
\(627\) 0.967761 0.777804i 0.0386487 0.0310625i
\(628\) 3.21613 + 30.5995i 0.128338 + 1.22105i
\(629\) 23.3009 16.9291i 0.929068 0.675008i
\(630\) −11.5434 + 13.9653i −0.459902 + 0.556392i
\(631\) −28.9418 21.0275i −1.15216 0.837090i −0.163390 0.986562i \(-0.552243\pi\)
−0.988766 + 0.149472i \(0.952243\pi\)
\(632\) 2.64211 4.57626i 0.105097 0.182034i
\(633\) 34.5469 + 34.8019i 1.37312 + 1.38325i
\(634\) 5.65660 1.20235i 0.224652 0.0477513i
\(635\) −13.9606 27.5835i −0.554009 1.09462i
\(636\) 4.00665 + 25.9133i 0.158874 + 1.02753i
\(637\) −10.9660 12.1790i −0.434490 0.482550i
\(638\) −5.57326 + 17.1527i −0.220648 + 0.679083i
\(639\) 33.7235 19.1410i 1.33408 0.757208i
\(640\) 1.51473 + 5.71486i 0.0598748 + 0.225900i
\(641\) −26.5621 29.5003i −1.04914 1.16519i −0.985925 0.167190i \(-0.946531\pi\)
−0.0632170 0.998000i \(-0.520136\pi\)
\(642\) 11.4398 42.0744i 0.451492 1.66054i
\(643\) −16.4497 28.4917i −0.648712 1.12360i −0.983431 0.181284i \(-0.941975\pi\)
0.334718 0.942318i \(-0.391359\pi\)
\(644\) 0.153853 1.46381i 0.00606266 0.0576823i
\(645\) −22.5983 10.2348i −0.889808 0.402993i
\(646\) 0.222195 + 2.11405i 0.00874215 + 0.0831760i
\(647\) −25.9334 + 18.8417i −1.01955 + 0.740745i −0.966190 0.257831i \(-0.916992\pi\)
−0.0533576 + 0.998575i \(0.516992\pi\)
\(648\) −1.96467 2.24760i −0.0771795 0.0882940i
\(649\) −4.80539 −0.188628
\(650\) −29.9856 + 9.56376i −1.17613 + 0.375122i
\(651\) −12.9420 + 15.8624i −0.507237 + 0.621697i
\(652\) 7.51408 8.34523i 0.294274 0.326824i
\(653\) −25.7218 11.4521i −1.00657 0.448154i −0.163838 0.986487i \(-0.552387\pi\)
−0.842732 + 0.538333i \(0.819054\pi\)
\(654\) −45.2346 29.6127i −1.76881 1.15795i
\(655\) 0.819139 + 16.4836i 0.0320064 + 0.644068i
\(656\) 22.1607 + 16.1007i 0.865232 + 0.628628i
\(657\) −2.80720 13.7015i −0.109519 0.534547i
\(658\) −15.6982 11.4054i −0.611978 0.444628i
\(659\) −18.0833 20.0836i −0.704427 0.782345i 0.279648 0.960103i \(-0.409782\pi\)
−0.984074 + 0.177758i \(0.943116\pi\)
\(660\) 8.85244 15.1093i 0.344581 0.588129i
\(661\) −6.55085 + 7.27545i −0.254798 + 0.282982i −0.856950 0.515399i \(-0.827644\pi\)
0.602152 + 0.798382i \(0.294310\pi\)
\(662\) −22.1611 + 4.71049i −0.861316 + 0.183078i
\(663\) 9.53315 18.5410i 0.370237 0.720073i
\(664\) −0.0655471 0.0139325i −0.00254372 0.000540684i
\(665\) 0.752380 0.485711i 0.0291760 0.0188351i
\(666\) −26.8279 + 36.3602i −1.03956 + 1.40893i
\(667\) −1.75856 1.27767i −0.0680919 0.0494716i
\(668\) 18.6365 32.2794i 0.721068 1.24893i
\(669\) 0.0479240 0.176260i 0.00185285 0.00681460i
\(670\) −7.04641 + 43.7230i −0.272227 + 1.68917i
\(671\) −29.5873 13.1731i −1.14220 0.508542i
\(672\) 1.04053 18.5492i 0.0401391 0.715552i
\(673\) 4.29453 + 0.912830i 0.165542 + 0.0351870i 0.289937 0.957046i \(-0.406366\pi\)
−0.124395 + 0.992233i \(0.539699\pi\)
\(674\) 39.5279 1.52256
\(675\) −3.64180 25.7243i −0.140173 0.990127i
\(676\) −4.86137 −0.186976
\(677\) 6.59213 + 1.40120i 0.253356 + 0.0538525i 0.332839 0.942984i \(-0.391993\pi\)
−0.0794826 + 0.996836i \(0.525327\pi\)
\(678\) 1.40418 25.0319i 0.0539270 0.961345i
\(679\) −13.9198 6.19750i −0.534193 0.237838i
\(680\) −1.25346 2.47661i −0.0480682 0.0949737i
\(681\) −4.55595 + 16.7564i −0.174585 + 0.642106i
\(682\) 20.7024 35.8576i 0.792736 1.37306i
\(683\) 14.2153 + 10.3280i 0.543933 + 0.395191i 0.825544 0.564338i \(-0.190869\pi\)
−0.281611 + 0.959529i \(0.590869\pi\)
\(684\) −0.637495 1.46065i −0.0243752 0.0558494i
\(685\) −7.30717 5.95005i −0.279193 0.227340i
\(686\) 31.9555 + 6.79236i 1.22007 + 0.259333i
\(687\) 13.8896 27.0138i 0.529920 1.03064i
\(688\) 27.0054 5.74017i 1.02957 0.218842i
\(689\) −17.7982 + 19.7669i −0.678059 + 0.753061i
\(690\) 2.93423 + 3.30093i 0.111704 + 0.125664i
\(691\) −27.4569 30.4940i −1.04451 1.16005i −0.986838 0.161710i \(-0.948299\pi\)
−0.0576719 0.998336i \(-0.518368\pi\)
\(692\) 19.4564 + 14.1359i 0.739622 + 0.537367i
\(693\) 7.64966 6.78660i 0.290587 0.257801i
\(694\) 3.97444 + 2.88760i 0.150868 + 0.109612i
\(695\) −0.436356 + 0.667964i −0.0165519 + 0.0253373i
\(696\) −1.79324 1.17394i −0.0679727 0.0444982i
\(697\) −21.7278 9.67384i −0.822999 0.366423i
\(698\) −10.7297 + 11.9166i −0.406126 + 0.451048i
\(699\) 9.49461 11.6371i 0.359119 0.440156i
\(700\) 7.47945 10.1783i 0.282697 0.384702i
\(701\) −30.2765 −1.14353 −0.571763 0.820419i \(-0.693740\pi\)
−0.571763 + 0.820419i \(0.693740\pi\)
\(702\) −5.47277 + 32.2474i −0.206556 + 1.21710i
\(703\) 1.80686 1.31276i 0.0681472 0.0495118i
\(704\) 1.70189 + 16.1924i 0.0641425 + 0.610275i
\(705\) 27.2524 5.61109i 1.02638 0.211326i
\(706\) −3.94692 + 37.5524i −0.148544 + 1.41330i
\(707\) −10.0368 17.3843i −0.377475 0.653805i
\(708\) −1.61835 + 5.95213i −0.0608212 + 0.223695i
\(709\) −7.40315 8.22203i −0.278031 0.308785i 0.587914 0.808923i \(-0.299949\pi\)
−0.865946 + 0.500138i \(0.833283\pi\)
\(710\) −47.5247 + 30.6804i −1.78357 + 1.15141i
\(711\) 0.351445 47.7919i 0.0131802 1.79234i
\(712\) −1.09669 + 3.37525i −0.0411001 + 0.126493i
\(713\) 3.33914 + 3.70849i 0.125052 + 0.138884i
\(714\) 2.67526 + 17.3024i 0.100119 + 0.647527i
\(715\) 17.5527 2.73140i 0.656435 0.102149i
\(716\) 9.16788 1.94869i 0.342620 0.0728261i
\(717\) −12.3620 12.4533i −0.461669 0.465076i
\(718\) −27.3845 + 47.4314i −1.02198 + 1.77012i
\(719\) 1.95143 + 1.41780i 0.0727761 + 0.0528749i 0.623578 0.781761i \(-0.285678\pi\)
−0.550802 + 0.834636i \(0.685678\pi\)
\(720\) 20.2385 + 20.6499i 0.754244 + 0.769575i
\(721\) −6.47504 + 4.70439i −0.241143 + 0.175201i
\(722\) −3.86979 36.8186i −0.144019 1.37025i
\(723\) 10.9999 8.84076i 0.409090 0.328791i
\(724\) −8.15526 14.1253i −0.303088 0.524964i
\(725\) −7.49475 17.0817i −0.278348 0.634400i
\(726\) 10.4984 12.8674i 0.389631 0.477553i
\(727\) −21.2556 4.51802i −0.788328 0.167564i −0.203880 0.978996i \(-0.565355\pi\)
−0.584447 + 0.811432i \(0.698689\pi\)
\(728\) 1.19105 0.865351i 0.0441434 0.0320721i
\(729\) −25.4882 8.90787i −0.944009 0.329921i
\(730\) 5.22729 + 19.7219i 0.193470 + 0.729939i
\(731\) −21.8995 + 9.75029i −0.809983 + 0.360628i
\(732\) −26.2810 + 32.2115i −0.971374 + 1.19057i
\(733\) −3.18371 + 30.2909i −0.117593 + 1.11882i 0.763477 + 0.645835i \(0.223491\pi\)
−0.881070 + 0.472986i \(0.843176\pi\)
\(734\) 6.13815 1.30470i 0.226563 0.0481575i
\(735\) −16.0396 + 11.4977i −0.591628 + 0.424100i
\(736\) −4.42967 0.941556i −0.163280 0.0347062i
\(737\) 7.72417 23.7725i 0.284523 0.875673i
\(738\) 37.0803 + 4.17320i 1.36495 + 0.153618i
\(739\) 13.7160 + 42.2135i 0.504551 + 1.55285i 0.801524 + 0.597962i \(0.204023\pi\)
−0.296973 + 0.954886i \(0.595977\pi\)
\(740\) 17.2278 26.3720i 0.633307 0.969453i
\(741\) 0.739246 1.43776i 0.0271569 0.0528174i
\(742\) 2.33490 22.2151i 0.0857167 0.815540i
\(743\) 12.5838 + 21.7958i 0.461655 + 0.799609i 0.999044 0.0437252i \(-0.0139226\pi\)
−0.537389 + 0.843335i \(0.680589\pi\)
\(744\) 3.46653 + 3.49212i 0.127089 + 0.128027i
\(745\) 32.7497 + 40.6671i 1.19986 + 1.48993i
\(746\) 24.2350 17.6077i 0.887305 0.644665i
\(747\) −0.577784 + 0.183047i −0.0211400 + 0.00669735i
\(748\) −5.22904 16.0933i −0.191193 0.588431i
\(749\) −8.87511 + 15.3721i −0.324289 + 0.561686i
\(750\) 7.44209 + 37.1626i 0.271747 + 1.35699i
\(751\) −25.2077 43.6611i −0.919844 1.59322i −0.799651 0.600465i \(-0.794982\pi\)
−0.120193 0.992751i \(-0.538351\pi\)
\(752\) −20.7198 + 23.0117i −0.755573 + 0.839149i
\(753\) −2.28734 + 40.7759i −0.0833552 + 1.48596i
\(754\) 2.45475 + 23.3553i 0.0893965 + 0.850551i
\(755\) 6.52015 16.8491i 0.237293 0.613202i
\(756\) −5.82989 11.7607i −0.212031 0.427733i
\(757\) 8.34393 0.303265 0.151633 0.988437i \(-0.451547\pi\)
0.151633 + 0.988437i \(0.451547\pi\)
\(758\) 13.0266 5.79984i 0.473149 0.210660i
\(759\) −1.34994 2.09555i −0.0489996 0.0760636i
\(760\) −0.0971996 0.192048i −0.00352580 0.00696632i
\(761\) 4.93074 5.47614i 0.178739 0.198510i −0.647117 0.762391i \(-0.724026\pi\)
0.825856 + 0.563881i \(0.190692\pi\)
\(762\) 46.8125 2.28078i 1.69584 0.0826239i
\(763\) 14.7275 + 16.3566i 0.533172 + 0.592147i
\(764\) −1.06534 3.27877i −0.0385426 0.118622i
\(765\) −20.9165 13.8844i −0.756236 0.501993i
\(766\) 17.9892 55.3650i 0.649975 2.00042i
\(767\) −5.71615 + 2.54499i −0.206398 + 0.0918944i
\(768\) −31.3871 5.08959i −1.13258 0.183655i
\(769\) 1.45499 13.8433i 0.0524682 0.499201i −0.936457 0.350784i \(-0.885915\pi\)
0.988925 0.148418i \(-0.0474180\pi\)
\(770\) −10.5770 + 10.5199i −0.381170 + 0.379113i