Properties

Label 462.2.w.a.365.8
Level $462$
Weight $2$
Character 462.365
Analytic conductor $3.689$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 365.8
Character \(\chi\) \(=\) 462.365
Dual form 462.2.w.a.281.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309017 - 0.951057i) q^{2} +(0.391739 + 1.68717i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.599576 + 0.194814i) q^{5} +(1.72565 + 0.148798i) q^{6} +(-0.587785 + 0.809017i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-2.69308 + 1.32186i) q^{9} +O(q^{10})\) \(q+(0.309017 - 0.951057i) q^{2} +(0.391739 + 1.68717i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.599576 + 0.194814i) q^{5} +(1.72565 + 0.148798i) q^{6} +(-0.587785 + 0.809017i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-2.69308 + 1.32186i) q^{9} +0.630432i q^{10} +(2.44475 + 2.24125i) q^{11} +(0.674769 - 1.59521i) q^{12} +(2.41247 + 0.783858i) q^{13} +(0.587785 + 0.809017i) q^{14} +(-0.563562 - 0.935270i) q^{15} +(0.309017 + 0.951057i) q^{16} +(1.70538 + 5.24863i) q^{17} +(0.424957 + 2.96975i) q^{18} +(-0.782917 - 1.07759i) q^{19} +(0.599576 + 0.194814i) q^{20} +(-1.59521 - 0.674769i) q^{21} +(2.88702 - 1.63251i) q^{22} +8.39152i q^{23} +(-1.30862 - 1.13469i) q^{24} +(-3.72355 + 2.70531i) q^{25} +(1.49099 - 2.05217i) q^{26} +(-3.28519 - 4.02586i) q^{27} +(0.951057 - 0.309017i) q^{28} +(0.707415 + 0.513967i) q^{29} +(-1.06364 + 0.246965i) q^{30} +(2.94421 - 9.06135i) q^{31} +1.00000 q^{32} +(-2.82366 + 5.00269i) q^{33} +5.51874 q^{34} +(0.194814 - 0.599576i) q^{35} +(2.95572 + 0.513545i) q^{36} +(-1.24996 - 0.908150i) q^{37} +(-1.26679 + 0.411604i) q^{38} +(-0.377443 + 4.37731i) q^{39} +(0.370558 - 0.510030i) q^{40} +(-3.18826 + 2.31641i) q^{41} +(-1.13469 + 1.30862i) q^{42} -3.14116i q^{43} +(-0.660472 - 3.25020i) q^{44} +(1.35719 - 1.31721i) q^{45} +(7.98081 + 2.59312i) q^{46} +(-1.24469 - 1.71316i) q^{47} +(-1.48354 + 0.893930i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(1.42227 + 4.37729i) q^{50} +(-8.18726 + 4.93337i) q^{51} +(-1.49099 - 2.05217i) q^{52} +(2.81686 + 0.915255i) q^{53} +(-4.84400 + 1.88034i) q^{54} +(-1.90244 - 0.867527i) q^{55} -1.00000i q^{56} +(1.51138 - 1.74305i) q^{57} +(0.707415 - 0.513967i) q^{58} +(4.03171 - 5.54917i) q^{59} +(-0.0938068 + 1.08790i) q^{60} +(11.4880 - 3.73266i) q^{61} +(-7.70804 - 5.60022i) q^{62} +(0.513545 - 2.95572i) q^{63} +(0.309017 - 0.951057i) q^{64} -1.59916 q^{65} +(3.88529 + 4.23138i) q^{66} +2.01926 q^{67} +(1.70538 - 5.24863i) q^{68} +(-14.1579 + 3.28729i) q^{69} +(-0.510030 - 0.370558i) q^{70} +(13.8818 - 4.51048i) q^{71} +(1.40178 - 2.65236i) q^{72} +(1.66168 - 2.28710i) q^{73} +(-1.24996 + 0.908150i) q^{74} +(-6.02298 - 5.22247i) q^{75} +1.33198i q^{76} +(-3.25020 + 0.660472i) q^{77} +(4.04643 + 1.71163i) q^{78} +(-9.35570 - 3.03985i) q^{79} +(-0.370558 - 0.510030i) q^{80} +(5.50537 - 7.11976i) q^{81} +(1.21781 + 3.74802i) q^{82} +(-3.56305 - 10.9659i) q^{83} +(0.893930 + 1.48354i) q^{84} +(-2.04501 - 2.81472i) q^{85} +(-2.98742 - 0.970672i) q^{86} +(-0.590028 + 1.39487i) q^{87} +(-3.29522 - 0.376220i) q^{88} -11.3022i q^{89} +(-0.833343 - 1.69780i) q^{90} +(-2.05217 + 1.49099i) q^{91} +(4.93241 - 6.78888i) q^{92} +(16.4414 + 1.41769i) q^{93} +(-2.01394 + 0.654370i) q^{94} +(0.679348 + 0.493575i) q^{95} +(0.391739 + 1.68717i) q^{96} +(1.98790 - 6.11813i) q^{97} -1.00000 q^{98} +(-9.54653 - 2.80424i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 12q^{2} - 4q^{3} - 12q^{4} + 6q^{6} - 12q^{8} + 10q^{9} + O(q^{10}) \) \( 48q - 12q^{2} - 4q^{3} - 12q^{4} + 6q^{6} - 12q^{8} + 10q^{9} - 8q^{11} + 6q^{12} + 36q^{15} - 12q^{16} - 24q^{17} + 30q^{19} - 8q^{22} - 4q^{24} + 18q^{25} - 20q^{26} - 22q^{27} + 8q^{29} - 24q^{30} - 32q^{31} + 48q^{32} - 14q^{33} - 4q^{34} + 6q^{35} - 10q^{36} - 20q^{37} + 20q^{38} - 6q^{39} + 22q^{44} + 12q^{45} + 20q^{46} + 20q^{47} - 4q^{48} + 12q^{49} + 28q^{50} + 8q^{51} + 20q^{52} + 20q^{53} + 18q^{54} + 16q^{55} - 2q^{57} + 8q^{58} + 30q^{59} - 4q^{60} - 20q^{61} + 8q^{62} + 4q^{63} - 12q^{64} - 14q^{66} + 36q^{67} - 24q^{68} - 70q^{69} - 4q^{70} + 10q^{72} - 20q^{73} - 20q^{74} - 30q^{75} - 16q^{77} - 16q^{78} - 20q^{79} + 26q^{81} - 10q^{82} - 46q^{83} - 10q^{84} + 10q^{85} - 30q^{86} + 8q^{87} - 8q^{88} - 38q^{90} - 36q^{91} + 10q^{92} - 36q^{93} + 50q^{95} - 4q^{96} - 2q^{97} - 48q^{98} + 70q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 0.951057i 0.218508 0.672499i
\(3\) 0.391739 + 1.68717i 0.226171 + 0.974088i
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −0.599576 + 0.194814i −0.268139 + 0.0871235i −0.440000 0.897998i \(-0.645022\pi\)
0.171862 + 0.985121i \(0.445022\pi\)
\(6\) 1.72565 + 0.148798i 0.704493 + 0.0607464i
\(7\) −0.587785 + 0.809017i −0.222162 + 0.305780i
\(8\) −0.809017 + 0.587785i −0.286031 + 0.207813i
\(9\) −2.69308 + 1.32186i −0.897693 + 0.440620i
\(10\) 0.630432i 0.199360i
\(11\) 2.44475 + 2.24125i 0.737120 + 0.675762i
\(12\) 0.674769 1.59521i 0.194789 0.460497i
\(13\) 2.41247 + 0.783858i 0.669098 + 0.217403i 0.623816 0.781571i \(-0.285581\pi\)
0.0452817 + 0.998974i \(0.485581\pi\)
\(14\) 0.587785 + 0.809017i 0.157092 + 0.216219i
\(15\) −0.563562 0.935270i −0.145511 0.241486i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 1.70538 + 5.24863i 0.413616 + 1.27298i 0.913483 + 0.406878i \(0.133382\pi\)
−0.499866 + 0.866103i \(0.666618\pi\)
\(18\) 0.424957 + 2.96975i 0.100163 + 0.699977i
\(19\) −0.782917 1.07759i −0.179613 0.247217i 0.709712 0.704492i \(-0.248825\pi\)
−0.889325 + 0.457276i \(0.848825\pi\)
\(20\) 0.599576 + 0.194814i 0.134069 + 0.0435618i
\(21\) −1.59521 0.674769i −0.348103 0.147247i
\(22\) 2.88702 1.63251i 0.615515 0.348053i
\(23\) 8.39152i 1.74975i 0.484346 + 0.874877i \(0.339058\pi\)
−0.484346 + 0.874877i \(0.660942\pi\)
\(24\) −1.30862 1.13469i −0.267120 0.231618i
\(25\) −3.72355 + 2.70531i −0.744709 + 0.541063i
\(26\) 1.49099 2.05217i 0.292406 0.402463i
\(27\) −3.28519 4.02586i −0.632235 0.774777i
\(28\) 0.951057 0.309017i 0.179733 0.0583987i
\(29\) 0.707415 + 0.513967i 0.131364 + 0.0954413i 0.651527 0.758626i \(-0.274129\pi\)
−0.520163 + 0.854067i \(0.674129\pi\)
\(30\) −1.06364 + 0.246965i −0.194194 + 0.0450894i
\(31\) 2.94421 9.06135i 0.528796 1.62747i −0.227889 0.973687i \(-0.573182\pi\)
0.756685 0.653779i \(-0.226818\pi\)
\(32\) 1.00000 0.176777
\(33\) −2.82366 + 5.00269i −0.491536 + 0.870857i
\(34\) 5.51874 0.946456
\(35\) 0.194814 0.599576i 0.0329296 0.101347i
\(36\) 2.95572 + 0.513545i 0.492620 + 0.0855908i
\(37\) −1.24996 0.908150i −0.205492 0.149299i 0.480279 0.877116i \(-0.340535\pi\)
−0.685772 + 0.727817i \(0.740535\pi\)
\(38\) −1.26679 + 0.411604i −0.205500 + 0.0667709i
\(39\) −0.377443 + 4.37731i −0.0604392 + 0.700930i
\(40\) 0.370558 0.510030i 0.0585904 0.0806428i
\(41\) −3.18826 + 2.31641i −0.497923 + 0.361762i −0.808223 0.588877i \(-0.799570\pi\)
0.310300 + 0.950639i \(0.399570\pi\)
\(42\) −1.13469 + 1.30862i −0.175086 + 0.201924i
\(43\) 3.14116i 0.479023i −0.970894 0.239511i \(-0.923013\pi\)
0.970894 0.239511i \(-0.0769872\pi\)
\(44\) −0.660472 3.25020i −0.0995699 0.489986i
\(45\) 1.35719 1.31721i 0.202318 0.196358i
\(46\) 7.98081 + 2.59312i 1.17671 + 0.382335i
\(47\) −1.24469 1.71316i −0.181556 0.249890i 0.708532 0.705678i \(-0.249358\pi\)
−0.890088 + 0.455788i \(0.849358\pi\)
\(48\) −1.48354 + 0.893930i −0.214130 + 0.129028i
\(49\) −0.309017 0.951057i −0.0441453 0.135865i
\(50\) 1.42227 + 4.37729i 0.201139 + 0.619042i
\(51\) −8.18726 + 4.93337i −1.14645 + 0.690810i
\(52\) −1.49099 2.05217i −0.206763 0.284584i
\(53\) 2.81686 + 0.915255i 0.386926 + 0.125720i 0.496019 0.868312i \(-0.334795\pi\)
−0.109093 + 0.994032i \(0.534795\pi\)
\(54\) −4.84400 + 1.88034i −0.659185 + 0.255882i
\(55\) −1.90244 0.867527i −0.256525 0.116977i
\(56\) 1.00000i 0.133631i
\(57\) 1.51138 1.74305i 0.200187 0.230872i
\(58\) 0.707415 0.513967i 0.0928882 0.0674872i
\(59\) 4.03171 5.54917i 0.524884 0.722441i −0.461456 0.887163i \(-0.652673\pi\)
0.986340 + 0.164722i \(0.0526728\pi\)
\(60\) −0.0938068 + 1.08790i −0.0121104 + 0.140448i
\(61\) 11.4880 3.73266i 1.47088 0.477918i 0.539507 0.841981i \(-0.318611\pi\)
0.931374 + 0.364063i \(0.118611\pi\)
\(62\) −7.70804 5.60022i −0.978923 0.711229i
\(63\) 0.513545 2.95572i 0.0647005 0.372386i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) −1.59916 −0.198352
\(66\) 3.88529 + 4.23138i 0.478246 + 0.520847i
\(67\) 2.01926 0.246691 0.123346 0.992364i \(-0.460638\pi\)
0.123346 + 0.992364i \(0.460638\pi\)
\(68\) 1.70538 5.24863i 0.206808 0.636490i
\(69\) −14.1579 + 3.28729i −1.70441 + 0.395743i
\(70\) −0.510030 0.370558i −0.0609602 0.0442902i
\(71\) 13.8818 4.51048i 1.64747 0.535295i 0.669281 0.743010i \(-0.266602\pi\)
0.978190 + 0.207714i \(0.0666024\pi\)
\(72\) 1.40178 2.65236i 0.165201 0.312584i
\(73\) 1.66168 2.28710i 0.194485 0.267685i −0.700626 0.713528i \(-0.747096\pi\)
0.895111 + 0.445843i \(0.147096\pi\)
\(74\) −1.24996 + 0.908150i −0.145305 + 0.105570i
\(75\) −6.02298 5.22247i −0.695474 0.603039i
\(76\) 1.33198i 0.152788i
\(77\) −3.25020 + 0.660472i −0.370394 + 0.0752678i
\(78\) 4.04643 + 1.71163i 0.458168 + 0.193804i
\(79\) −9.35570 3.03985i −1.05260 0.342010i −0.268911 0.963165i \(-0.586664\pi\)
−0.783687 + 0.621155i \(0.786664\pi\)
\(80\) −0.370558 0.510030i −0.0414297 0.0570231i
\(81\) 5.50537 7.11976i 0.611707 0.791084i
\(82\) 1.21781 + 3.74802i 0.134484 + 0.413900i
\(83\) −3.56305 10.9659i −0.391096 1.20367i −0.931961 0.362559i \(-0.881903\pi\)
0.540865 0.841109i \(-0.318097\pi\)
\(84\) 0.893930 + 1.48354i 0.0975358 + 0.161867i
\(85\) −2.04501 2.81472i −0.221813 0.305299i
\(86\) −2.98742 0.970672i −0.322142 0.104670i
\(87\) −0.590028 + 1.39487i −0.0632576 + 0.149546i
\(88\) −3.29522 0.376220i −0.351271 0.0401052i
\(89\) 11.3022i 1.19803i −0.800736 0.599017i \(-0.795558\pi\)
0.800736 0.599017i \(-0.204442\pi\)
\(90\) −0.833343 1.69780i −0.0878421 0.178964i
\(91\) −2.05217 + 1.49099i −0.215125 + 0.156298i
\(92\) 4.93241 6.78888i 0.514240 0.707790i
\(93\) 16.4414 + 1.41769i 1.70489 + 0.147008i
\(94\) −2.01394 + 0.654370i −0.207722 + 0.0674931i
\(95\) 0.679348 + 0.493575i 0.0696997 + 0.0506398i
\(96\) 0.391739 + 1.68717i 0.0399817 + 0.172196i
\(97\) 1.98790 6.11813i 0.201841 0.621202i −0.797987 0.602674i \(-0.794102\pi\)
0.999828 0.0185283i \(-0.00589809\pi\)
\(98\) −1.00000 −0.101015
\(99\) −9.54653 2.80424i −0.959462 0.281837i
\(100\) 4.60256 0.460256
\(101\) −3.56987 + 10.9869i −0.355215 + 1.09324i 0.600669 + 0.799498i \(0.294901\pi\)
−0.955884 + 0.293743i \(0.905099\pi\)
\(102\) 2.16191 + 9.31104i 0.214061 + 0.921931i
\(103\) −3.40723 2.47550i −0.335725 0.243918i 0.407131 0.913370i \(-0.366529\pi\)
−0.742856 + 0.669452i \(0.766529\pi\)
\(104\) −2.41247 + 0.783858i −0.236562 + 0.0768636i
\(105\) 1.08790 + 0.0938068i 0.106168 + 0.00915460i
\(106\) 1.74092 2.39617i 0.169093 0.232736i
\(107\) −10.7603 + 7.81783i −1.04024 + 0.755778i −0.970332 0.241775i \(-0.922270\pi\)
−0.0699071 + 0.997554i \(0.522270\pi\)
\(108\) 0.291435 + 5.18797i 0.0280433 + 0.499213i
\(109\) 18.7342i 1.79441i 0.441615 + 0.897205i \(0.354406\pi\)
−0.441615 + 0.897205i \(0.645594\pi\)
\(110\) −1.41295 + 1.54125i −0.134720 + 0.146952i
\(111\) 1.04254 2.46466i 0.0989539 0.233935i
\(112\) −0.951057 0.309017i −0.0898664 0.0291994i
\(113\) 9.42189 + 12.9681i 0.886337 + 1.21994i 0.974625 + 0.223844i \(0.0718605\pi\)
−0.0882877 + 0.996095i \(0.528139\pi\)
\(114\) −1.19070 1.97604i −0.111519 0.185073i
\(115\) −1.63479 5.03136i −0.152445 0.469176i
\(116\) −0.270209 0.831617i −0.0250882 0.0772137i
\(117\) −7.53312 + 1.07795i −0.696437 + 0.0996569i
\(118\) −4.03171 5.54917i −0.371149 0.510843i
\(119\) −5.24863 1.70538i −0.481141 0.156332i
\(120\) 1.00567 + 0.425396i 0.0918046 + 0.0388332i
\(121\) 0.953611 + 10.9586i 0.0866919 + 0.996235i
\(122\) 12.0791i 1.09359i
\(123\) −5.15714 4.47171i −0.465003 0.403200i
\(124\) −7.70804 + 5.60022i −0.692203 + 0.502915i
\(125\) 3.55831 4.89759i 0.318265 0.438054i
\(126\) −2.65236 1.40178i −0.236291 0.124880i
\(127\) 8.81861 2.86534i 0.782525 0.254258i 0.109607 0.993975i \(-0.465041\pi\)
0.672918 + 0.739717i \(0.265041\pi\)
\(128\) −0.809017 0.587785i −0.0715077 0.0519534i
\(129\) 5.29967 1.23052i 0.466610 0.108341i
\(130\) −0.494169 + 1.52090i −0.0433415 + 0.133391i
\(131\) −6.41687 −0.560645 −0.280322 0.959906i \(-0.590441\pi\)
−0.280322 + 0.959906i \(0.590441\pi\)
\(132\) 5.22490 2.38756i 0.454769 0.207810i
\(133\) 1.33198 0.115497
\(134\) 0.623984 1.92043i 0.0539040 0.165900i
\(135\) 2.75402 + 1.77381i 0.237028 + 0.152665i
\(136\) −4.46475 3.24383i −0.382849 0.278156i
\(137\) 0.648083 0.210575i 0.0553694 0.0179906i −0.281201 0.959649i \(-0.590733\pi\)
0.336571 + 0.941658i \(0.390733\pi\)
\(138\) −1.24864 + 14.4808i −0.106291 + 1.23269i
\(139\) −7.79784 + 10.7328i −0.661405 + 0.910345i −0.999527 0.0307569i \(-0.990208\pi\)
0.338122 + 0.941102i \(0.390208\pi\)
\(140\) −0.510030 + 0.370558i −0.0431054 + 0.0313179i
\(141\) 2.40280 2.77111i 0.202353 0.233369i
\(142\) 14.5962i 1.22489i
\(143\) 4.14106 + 7.32327i 0.346293 + 0.612403i
\(144\) −2.08937 2.15279i −0.174114 0.179400i
\(145\) −0.524277 0.170348i −0.0435389 0.0141466i
\(146\) −1.66168 2.28710i −0.137521 0.189282i
\(147\) 1.48354 0.893930i 0.122360 0.0737301i
\(148\) 0.477443 + 1.46942i 0.0392456 + 0.120785i
\(149\) −4.00287 12.3196i −0.327928 1.00926i −0.970102 0.242699i \(-0.921967\pi\)
0.642174 0.766559i \(-0.278033\pi\)
\(150\) −6.82807 + 4.11436i −0.557510 + 0.335936i
\(151\) −8.58790 11.8202i −0.698874 0.961917i −0.999965 0.00832193i \(-0.997351\pi\)
0.301092 0.953595i \(-0.402649\pi\)
\(152\) 1.26679 + 0.411604i 0.102750 + 0.0333855i
\(153\) −11.5307 11.8807i −0.932202 0.960498i
\(154\) −0.376220 + 3.29522i −0.0303167 + 0.265536i
\(155\) 6.00654i 0.482457i
\(156\) 2.87827 3.31946i 0.230446 0.265770i
\(157\) 10.1071 7.34326i 0.806636 0.586056i −0.106217 0.994343i \(-0.533874\pi\)
0.912853 + 0.408287i \(0.133874\pi\)
\(158\) −5.78214 + 7.95843i −0.460002 + 0.633139i
\(159\) −0.440713 + 5.11107i −0.0349508 + 0.405334i
\(160\) −0.599576 + 0.194814i −0.0474007 + 0.0154014i
\(161\) −6.78888 4.93241i −0.535039 0.388729i
\(162\) −5.07004 7.43604i −0.398340 0.584230i
\(163\) −0.453419 + 1.39548i −0.0355145 + 0.109303i −0.967242 0.253855i \(-0.918301\pi\)
0.931728 + 0.363158i \(0.118301\pi\)
\(164\) 3.94091 0.307733
\(165\) 0.718404 3.54958i 0.0559277 0.276335i
\(166\) −11.5303 −0.894923
\(167\) −4.39597 + 13.5294i −0.340171 + 1.04694i 0.623948 + 0.781466i \(0.285528\pi\)
−0.964119 + 0.265472i \(0.914472\pi\)
\(168\) 1.68717 0.391739i 0.130168 0.0302234i
\(169\) −5.31166 3.85915i −0.408589 0.296857i
\(170\) −3.30890 + 1.07513i −0.253781 + 0.0824585i
\(171\) 3.53289 + 1.86714i 0.270167 + 0.142783i
\(172\) −1.84633 + 2.54125i −0.140781 + 0.193769i
\(173\) −1.47145 + 1.06907i −0.111872 + 0.0812798i −0.642315 0.766441i \(-0.722026\pi\)
0.530443 + 0.847721i \(0.322026\pi\)
\(174\) 1.14427 + 0.992188i 0.0867471 + 0.0752176i
\(175\) 4.60256i 0.347921i
\(176\) −1.37608 + 3.01768i −0.103726 + 0.227466i
\(177\) 10.9418 + 4.62835i 0.822434 + 0.347888i
\(178\) −10.7491 3.49258i −0.805676 0.261780i
\(179\) −7.46316 10.2722i −0.557823 0.767777i 0.433225 0.901286i \(-0.357376\pi\)
−0.991048 + 0.133509i \(0.957376\pi\)
\(180\) −1.87222 + 0.267906i −0.139547 + 0.0199686i
\(181\) 7.77978 + 23.9437i 0.578267 + 1.77972i 0.624776 + 0.780804i \(0.285190\pi\)
−0.0465090 + 0.998918i \(0.514810\pi\)
\(182\) 0.783858 + 2.41247i 0.0581034 + 0.178824i
\(183\) 10.7979 + 17.9199i 0.798205 + 1.32468i
\(184\) −4.93241 6.78888i −0.363622 0.500483i
\(185\) 0.926368 + 0.300995i 0.0681079 + 0.0221296i
\(186\) 6.42898 15.1986i 0.471396 1.11442i
\(187\) −7.59425 + 16.6538i −0.555347 + 1.21785i
\(188\) 2.11759i 0.154441i
\(189\) 5.18797 0.291435i 0.377370 0.0211987i
\(190\) 0.679348 0.493575i 0.0492851 0.0358077i
\(191\) 12.8084 17.6292i 0.926780 1.27560i −0.0343227 0.999411i \(-0.510927\pi\)
0.961102 0.276192i \(-0.0890726\pi\)
\(192\) 1.72565 + 0.148798i 0.124538 + 0.0107385i
\(193\) 17.8519 5.80045i 1.28501 0.417525i 0.414669 0.909972i \(-0.363897\pi\)
0.870342 + 0.492447i \(0.163897\pi\)
\(194\) −5.20440 3.78122i −0.373654 0.271475i
\(195\) −0.626455 2.69806i −0.0448614 0.193212i
\(196\) −0.309017 + 0.951057i −0.0220726 + 0.0679326i
\(197\) 10.1234 0.721262 0.360631 0.932709i \(-0.382561\pi\)
0.360631 + 0.932709i \(0.382561\pi\)
\(198\) −5.61703 + 8.21273i −0.399185 + 0.583653i
\(199\) 23.3180 1.65297 0.826484 0.562960i \(-0.190338\pi\)
0.826484 + 0.562960i \(0.190338\pi\)
\(200\) 1.42227 4.37729i 0.100570 0.309521i
\(201\) 0.791022 + 3.40683i 0.0557944 + 0.240299i
\(202\) 9.34604 + 6.79030i 0.657585 + 0.477764i
\(203\) −0.831617 + 0.270209i −0.0583681 + 0.0189649i
\(204\) 9.52340 + 0.821175i 0.666771 + 0.0574938i
\(205\) 1.46034 2.00998i 0.101994 0.140383i
\(206\) −3.40723 + 2.47550i −0.237393 + 0.172476i
\(207\) −11.0924 22.5990i −0.770977 1.57074i
\(208\) 2.53662i 0.175883i
\(209\) 0.501116 4.38916i 0.0346629 0.303604i
\(210\) 0.425396 1.00567i 0.0293551 0.0693978i
\(211\) 11.1060 + 3.60856i 0.764570 + 0.248424i 0.665239 0.746631i \(-0.268330\pi\)
0.0993310 + 0.995054i \(0.468330\pi\)
\(212\) −1.74092 2.39617i −0.119567 0.164569i
\(213\) 13.0480 + 21.6541i 0.894034 + 1.48371i
\(214\) 4.11008 + 12.6495i 0.280959 + 0.864703i
\(215\) 0.611942 + 1.88337i 0.0417341 + 0.128444i
\(216\) 5.02411 + 1.32600i 0.341848 + 0.0902229i
\(217\) 5.60022 + 7.70804i 0.380168 + 0.523256i
\(218\) 17.8173 + 5.78918i 1.20674 + 0.392093i
\(219\) 4.50967 + 1.90758i 0.304736 + 0.128903i
\(220\) 1.02919 + 1.82007i 0.0693878 + 0.122709i
\(221\) 13.9989i 0.941670i
\(222\) −2.02186 1.75314i −0.135699 0.117663i
\(223\) −6.49078 + 4.71583i −0.434655 + 0.315795i −0.783507 0.621382i \(-0.786571\pi\)
0.348853 + 0.937178i \(0.386571\pi\)
\(224\) −0.587785 + 0.809017i −0.0392731 + 0.0540547i
\(225\) 6.45176 12.2076i 0.430117 0.813843i
\(226\) 15.2449 4.95338i 1.01408 0.329494i
\(227\) −0.597813 0.434336i −0.0396782 0.0288279i 0.567769 0.823188i \(-0.307807\pi\)
−0.607448 + 0.794360i \(0.707807\pi\)
\(228\) −2.24727 + 0.521788i −0.148829 + 0.0345563i
\(229\) 1.91931 5.90703i 0.126832 0.390348i −0.867399 0.497614i \(-0.834210\pi\)
0.994230 + 0.107266i \(0.0342097\pi\)
\(230\) −5.29028 −0.348831
\(231\) −2.38756 5.22490i −0.157090 0.343773i
\(232\) −0.874414 −0.0574081
\(233\) −6.49607 + 19.9929i −0.425572 + 1.30978i 0.476874 + 0.878972i \(0.341770\pi\)
−0.902446 + 0.430804i \(0.858230\pi\)
\(234\) −1.30267 + 7.49753i −0.0851580 + 0.490129i
\(235\) 1.08003 + 0.784689i 0.0704535 + 0.0511875i
\(236\) −6.52344 + 2.11959i −0.424640 + 0.137974i
\(237\) 1.46375 16.9755i 0.0950806 1.10268i
\(238\) −3.24383 + 4.46475i −0.210266 + 0.289407i
\(239\) −8.06794 + 5.86170i −0.521872 + 0.379162i −0.817308 0.576200i \(-0.804535\pi\)
0.295437 + 0.955362i \(0.404535\pi\)
\(240\) 0.715344 0.824994i 0.0461753 0.0532531i
\(241\) 15.9382i 1.02667i −0.858188 0.513336i \(-0.828409\pi\)
0.858188 0.513336i \(-0.171591\pi\)
\(242\) 10.7169 + 2.47945i 0.688910 + 0.159385i
\(243\) 14.1689 + 6.49939i 0.908936 + 0.416936i
\(244\) −11.4880 3.73266i −0.735441 0.238959i
\(245\) 0.370558 + 0.510030i 0.0236741 + 0.0325846i
\(246\) −5.84649 + 3.52290i −0.372758 + 0.224612i
\(247\) −1.04408 3.21335i −0.0664333 0.204461i
\(248\) 2.94421 + 9.06135i 0.186958 + 0.575396i
\(249\) 17.1056 10.3073i 1.08402 0.653196i
\(250\) −3.55831 4.89759i −0.225047 0.309751i
\(251\) 17.3036 + 5.62229i 1.09220 + 0.354876i 0.799094 0.601206i \(-0.205313\pi\)
0.293101 + 0.956081i \(0.405313\pi\)
\(252\) −2.15279 + 2.08937i −0.135613 + 0.131618i
\(253\) −18.8075 + 20.5152i −1.18242 + 1.28978i
\(254\) 9.27244i 0.581804i
\(255\) 3.94780 4.55292i 0.247221 0.285115i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 4.68279 6.44531i 0.292104 0.402047i −0.637592 0.770374i \(-0.720069\pi\)
0.929696 + 0.368327i \(0.120069\pi\)
\(258\) 0.467397 5.42054i 0.0290989 0.337468i
\(259\) 1.46942 0.477443i 0.0913052 0.0296669i
\(260\) 1.29375 + 0.939965i 0.0802350 + 0.0582941i
\(261\) −2.58452 0.449050i −0.159978 0.0277955i
\(262\) −1.98292 + 6.10281i −0.122505 + 0.377033i
\(263\) 6.20966 0.382904 0.191452 0.981502i \(-0.438680\pi\)
0.191452 + 0.981502i \(0.438680\pi\)
\(264\) −0.656120 5.70697i −0.0403814 0.351240i
\(265\) −1.86723 −0.114703
\(266\) 0.411604 1.26679i 0.0252370 0.0776716i
\(267\) 19.0688 4.42753i 1.16699 0.270960i
\(268\) −1.63361 1.18689i −0.0997887 0.0725007i
\(269\) 3.05925 0.994012i 0.186526 0.0606060i −0.214265 0.976776i \(-0.568735\pi\)
0.400791 + 0.916170i \(0.368735\pi\)
\(270\) 2.53803 2.07109i 0.154459 0.126042i
\(271\) 3.91340 5.38634i 0.237722 0.327197i −0.673442 0.739240i \(-0.735185\pi\)
0.911164 + 0.412044i \(0.135185\pi\)
\(272\) −4.46475 + 3.24383i −0.270715 + 0.196686i
\(273\) −3.31946 2.87827i −0.200903 0.174201i
\(274\) 0.681434i 0.0411670i
\(275\) −15.1664 1.73157i −0.914570 0.104418i
\(276\) 13.3862 + 5.66234i 0.805756 + 0.340833i
\(277\) 12.2294 + 3.97356i 0.734792 + 0.238748i 0.652425 0.757854i \(-0.273752\pi\)
0.0823673 + 0.996602i \(0.473752\pi\)
\(278\) 7.79784 + 10.7328i 0.467684 + 0.643711i
\(279\) 4.04885 + 28.2948i 0.242398 + 1.69396i
\(280\) 0.194814 + 0.599576i 0.0116424 + 0.0358315i
\(281\) −0.201056 0.618785i −0.0119940 0.0369136i 0.944880 0.327416i \(-0.106178\pi\)
−0.956874 + 0.290502i \(0.906178\pi\)
\(282\) −1.89297 3.14152i −0.112725 0.187075i
\(283\) −17.5012 24.0884i −1.04034 1.43190i −0.896894 0.442246i \(-0.854182\pi\)
−0.143445 0.989658i \(-0.545818\pi\)
\(284\) −13.8818 4.51048i −0.823735 0.267648i
\(285\) −0.566618 + 1.33953i −0.0335635 + 0.0793468i
\(286\) 8.24450 1.67536i 0.487508 0.0990664i
\(287\) 3.94091i 0.232624i
\(288\) −2.69308 + 1.32186i −0.158691 + 0.0778914i
\(289\) −10.8865 + 7.90951i −0.640383 + 0.465265i
\(290\) −0.324021 + 0.445977i −0.0190272 + 0.0261887i
\(291\) 11.1011 + 0.957214i 0.650756 + 0.0561129i
\(292\) −2.68865 + 0.873596i −0.157341 + 0.0511233i
\(293\) 25.9493 + 18.8533i 1.51598 + 1.10142i 0.963438 + 0.267933i \(0.0863406\pi\)
0.552538 + 0.833488i \(0.313659\pi\)
\(294\) −0.391739 1.68717i −0.0228467 0.0983977i
\(295\) −1.33626 + 4.11258i −0.0778000 + 0.239444i
\(296\) 1.54504 0.0898035
\(297\) 0.991478 17.2051i 0.0575314 0.998344i
\(298\) −12.9536 −0.750380
\(299\) −6.57776 + 20.2443i −0.380402 + 1.17076i
\(300\) 1.80300 + 7.76529i 0.104096 + 0.448329i
\(301\) 2.54125 + 1.84633i 0.146475 + 0.106421i
\(302\) −13.8955 + 4.51493i −0.799597 + 0.259805i
\(303\) −19.9353 1.71896i −1.14525 0.0987518i
\(304\) 0.782917 1.07759i 0.0449034 0.0618042i
\(305\) −6.16073 + 4.47603i −0.352762 + 0.256297i
\(306\) −14.8624 + 7.29501i −0.849627 + 0.417028i
\(307\) 5.81483i 0.331870i 0.986137 + 0.165935i \(0.0530642\pi\)
−0.986137 + 0.165935i \(0.946936\pi\)
\(308\) 3.01768 + 1.37608i 0.171948 + 0.0784097i
\(309\) 2.84184 6.71833i 0.161667 0.382192i
\(310\) 5.71256 + 1.85612i 0.324452 + 0.105421i
\(311\) −9.86263 13.5748i −0.559259 0.769754i 0.431973 0.901886i \(-0.357817\pi\)
−0.991232 + 0.132133i \(0.957817\pi\)
\(312\) −2.26756 3.76317i −0.128375 0.213048i
\(313\) −6.18641 19.0398i −0.349677 1.07619i −0.959032 0.283297i \(-0.908572\pi\)
0.609355 0.792897i \(-0.291428\pi\)
\(314\) −3.86058 11.8816i −0.217865 0.670520i
\(315\) 0.267906 + 1.87222i 0.0150948 + 0.105488i
\(316\) 5.78214 + 7.95843i 0.325271 + 0.447697i
\(317\) 15.0841 + 4.90111i 0.847205 + 0.275273i 0.700275 0.713873i \(-0.253061\pi\)
0.146930 + 0.989147i \(0.453061\pi\)
\(318\) 4.72473 + 1.99855i 0.264950 + 0.112073i
\(319\) 0.577526 + 2.84202i 0.0323352 + 0.159122i
\(320\) 0.630432i 0.0352422i
\(321\) −17.4052 15.0919i −0.971466 0.842349i
\(322\) −6.78888 + 4.93241i −0.378330 + 0.274873i
\(323\) 4.32071 5.94695i 0.240411 0.330897i
\(324\) −8.63882 + 2.52403i −0.479935 + 0.140224i
\(325\) −11.1035 + 3.60775i −0.615912 + 0.200122i
\(326\) 1.18707 + 0.862455i 0.0657456 + 0.0477670i
\(327\) −31.6077 + 7.33892i −1.74791 + 0.405843i
\(328\) 1.21781 3.74802i 0.0672421 0.206950i
\(329\) 2.11759 0.116746
\(330\) −3.15386 1.78012i −0.173614 0.0979927i
\(331\) −23.9417 −1.31595 −0.657977 0.753038i \(-0.728587\pi\)
−0.657977 + 0.753038i \(0.728587\pi\)
\(332\) −3.56305 + 10.9659i −0.195548 + 0.601834i
\(333\) 4.56670 + 0.793446i 0.250253 + 0.0434806i
\(334\) 11.5088 + 8.36164i 0.629734 + 0.457528i
\(335\) −1.21070 + 0.393379i −0.0661474 + 0.0214926i
\(336\) 0.148798 1.72565i 0.00811758 0.0941418i
\(337\) −14.9753 + 20.6117i −0.815755 + 1.12279i 0.174654 + 0.984630i \(0.444119\pi\)
−0.990410 + 0.138161i \(0.955881\pi\)
\(338\) −5.31166 + 3.85915i −0.288916 + 0.209910i
\(339\) −18.1885 + 20.9765i −0.987864 + 1.13928i
\(340\) 3.47919i 0.188685i
\(341\) 27.5066 15.5540i 1.48957 0.842298i
\(342\) 2.86747 2.78300i 0.155055 0.150487i
\(343\) 0.951057 + 0.309017i 0.0513522 + 0.0166853i
\(344\) 1.84633 + 2.54125i 0.0995473 + 0.137015i
\(345\) 7.84834 4.72914i 0.422540 0.254608i
\(346\) 0.562043 + 1.72979i 0.0302156 + 0.0929941i
\(347\) −3.05031 9.38790i −0.163749 0.503969i 0.835193 0.549958i \(-0.185356\pi\)
−0.998942 + 0.0459888i \(0.985356\pi\)
\(348\) 1.29723 0.781665i 0.0695387 0.0419016i
\(349\) −2.19985 3.02783i −0.117755 0.162076i 0.746070 0.665867i \(-0.231938\pi\)
−0.863826 + 0.503791i \(0.831938\pi\)
\(350\) −4.37729 1.42227i −0.233976 0.0760234i
\(351\) −4.76971 12.2874i −0.254588 0.655851i
\(352\) 2.44475 + 2.24125i 0.130306 + 0.119459i
\(353\) 11.9930i 0.638324i −0.947700 0.319162i \(-0.896599\pi\)
0.947700 0.319162i \(-0.103401\pi\)
\(354\) 7.78301 8.97600i 0.413662 0.477069i
\(355\) −7.44451 + 5.40875i −0.395114 + 0.287067i
\(356\) −6.64328 + 9.14369i −0.352093 + 0.484615i
\(357\) 0.821175 9.52340i 0.0434612 0.504032i
\(358\) −12.0756 + 3.92361i −0.638217 + 0.207369i
\(359\) 0.346004 + 0.251387i 0.0182614 + 0.0132677i 0.596879 0.802332i \(-0.296407\pi\)
−0.578617 + 0.815599i \(0.696407\pi\)
\(360\) −0.323755 + 1.86338i −0.0170634 + 0.0982087i
\(361\) 5.32308 16.3827i 0.280162 0.862250i
\(362\) 25.1759 1.32322
\(363\) −18.1154 + 5.90181i −0.950813 + 0.309765i
\(364\) 2.53662 0.132955
\(365\) −0.550742 + 1.69501i −0.0288272 + 0.0887209i
\(366\) 20.3796 4.73188i 1.06526 0.247339i
\(367\) −1.45752 1.05895i −0.0760820 0.0552768i 0.549094 0.835761i \(-0.314973\pi\)
−0.625176 + 0.780484i \(0.714973\pi\)
\(368\) −7.98081 + 2.59312i −0.416029 + 0.135176i
\(369\) 5.52427 10.4527i 0.287582 0.544146i
\(370\) 0.572527 0.788015i 0.0297642 0.0409670i
\(371\) −2.39617 + 1.74092i −0.124403 + 0.0903839i
\(372\) −12.4681 10.8109i −0.646439 0.560522i
\(373\) 1.26194i 0.0653405i −0.999466 0.0326703i \(-0.989599\pi\)
0.999466 0.0326703i \(-0.0104011\pi\)
\(374\) 13.4919 + 12.3689i 0.697651 + 0.639579i
\(375\) 9.65699 + 4.08489i 0.498685 + 0.210943i
\(376\) 2.01394 + 0.654370i 0.103861 + 0.0337466i
\(377\) 1.30374 + 1.79444i 0.0671460 + 0.0924185i
\(378\) 1.32600 5.02411i 0.0682021 0.258413i
\(379\) 7.75359 + 23.8631i 0.398275 + 1.22576i 0.926382 + 0.376586i \(0.122902\pi\)
−0.528107 + 0.849178i \(0.677098\pi\)
\(380\) −0.259488 0.798622i −0.0133115 0.0409684i
\(381\) 8.28891 + 13.7560i 0.424654 + 0.704742i
\(382\) −12.8084 17.6292i −0.655332 0.901987i
\(383\) −5.66339 1.84015i −0.289386 0.0940271i 0.160727 0.986999i \(-0.448616\pi\)
−0.450113 + 0.892972i \(0.648616\pi\)
\(384\) 0.674769 1.59521i 0.0344342 0.0814051i
\(385\) 1.82007 1.02919i 0.0927594 0.0524522i
\(386\) 18.7706i 0.955401i
\(387\) 4.15218 + 8.45940i 0.211067 + 0.430015i
\(388\) −5.20440 + 3.78122i −0.264213 + 0.191962i
\(389\) −15.3281 + 21.0973i −0.777166 + 1.06968i 0.218423 + 0.975854i \(0.429909\pi\)
−0.995589 + 0.0938231i \(0.970091\pi\)
\(390\) −2.75959 0.237952i −0.139737 0.0120492i
\(391\) −44.0440 + 14.3108i −2.22740 + 0.723727i
\(392\) 0.809017 + 0.587785i 0.0408615 + 0.0296876i
\(393\) −2.51374 10.8264i −0.126802 0.546117i
\(394\) 3.12830 9.62792i 0.157602 0.485048i
\(395\) 6.20166 0.312039
\(396\) 6.07501 + 7.87999i 0.305281 + 0.395984i
\(397\) −12.3838 −0.621526 −0.310763 0.950487i \(-0.600585\pi\)
−0.310763 + 0.950487i \(0.600585\pi\)
\(398\) 7.20565 22.1767i 0.361187 1.11162i
\(399\) 0.521788 + 2.24727i 0.0261221 + 0.112504i
\(400\) −3.72355 2.70531i −0.186177 0.135266i
\(401\) −25.7508 + 8.36694i −1.28593 + 0.417825i −0.870666 0.491875i \(-0.836312\pi\)
−0.415267 + 0.909700i \(0.636312\pi\)
\(402\) 3.48452 + 0.300460i 0.173792 + 0.0149856i
\(403\) 14.2056 19.5524i 0.707632 0.973972i
\(404\) 9.34604 6.79030i 0.464983 0.337830i
\(405\) −1.91386 + 5.34136i −0.0951003 + 0.265414i
\(406\) 0.874414i 0.0433964i
\(407\) −1.02045 5.02168i −0.0505820 0.248915i
\(408\) 3.72388 8.80353i 0.184359 0.435840i
\(409\) −4.21983 1.37110i −0.208657 0.0677968i 0.202824 0.979215i \(-0.434988\pi\)
−0.411481 + 0.911419i \(0.634988\pi\)
\(410\) −1.46034 2.00998i −0.0721208 0.0992658i
\(411\) 0.609155 + 1.01093i 0.0300474 + 0.0498657i
\(412\) 1.30145 + 4.00544i 0.0641177 + 0.197334i
\(413\) 2.11959 + 6.52344i 0.104298 + 0.320998i
\(414\) −24.9207 + 3.56604i −1.22479 + 0.175261i
\(415\) 4.27264 + 5.88079i 0.209736 + 0.288676i
\(416\) 2.41247 + 0.783858i 0.118281 + 0.0384318i
\(417\) −21.1628 8.95182i −1.03635 0.438372i
\(418\) −4.01948 1.83291i −0.196599 0.0896507i
\(419\) 19.3186i 0.943775i −0.881659 0.471888i \(-0.843573\pi\)
0.881659 0.471888i \(-0.156427\pi\)
\(420\) −0.824994 0.715344i −0.0402556 0.0349052i
\(421\) −8.58284 + 6.23580i −0.418302 + 0.303914i −0.776954 0.629557i \(-0.783236\pi\)
0.358652 + 0.933471i \(0.383236\pi\)
\(422\) 6.86390 9.44734i 0.334129 0.459889i
\(423\) 5.61660 + 2.96838i 0.273089 + 0.144328i
\(424\) −2.81686 + 0.915255i −0.136799 + 0.0444487i
\(425\) −20.5493 14.9299i −0.996786 0.724208i
\(426\) 24.6263 5.71791i 1.19315 0.277034i
\(427\) −3.73266 + 11.4880i −0.180636 + 0.555941i
\(428\) 13.3005 0.642903
\(429\) −10.7334 + 9.85548i −0.518213 + 0.475827i
\(430\) 1.98029 0.0954979
\(431\) 2.66569 8.20414i 0.128402 0.395180i −0.866104 0.499864i \(-0.833383\pi\)
0.994505 + 0.104684i \(0.0333833\pi\)
\(432\) 2.81364 4.36846i 0.135371 0.210178i
\(433\) 28.1535 + 20.4547i 1.35297 + 0.982991i 0.998858 + 0.0477878i \(0.0152171\pi\)
0.354113 + 0.935203i \(0.384783\pi\)
\(434\) 9.06135 2.94421i 0.434959 0.141327i
\(435\) 0.0820259 0.951277i 0.00393284 0.0456102i
\(436\) 11.0117 15.1563i 0.527364 0.725854i
\(437\) 9.04264 6.56986i 0.432568 0.314279i
\(438\) 3.20779 3.69948i 0.153274 0.176768i
\(439\) 18.2973i 0.873282i −0.899636 0.436641i \(-0.856168\pi\)
0.899636 0.436641i \(-0.143832\pi\)
\(440\) 2.04903 0.416382i 0.0976835 0.0198503i
\(441\) 2.08937 + 2.15279i 0.0994939 + 0.102514i
\(442\) 13.3138 + 4.32591i 0.633271 + 0.205762i
\(443\) −11.0429 15.1993i −0.524666 0.722141i 0.461640 0.887068i \(-0.347261\pi\)
−0.986306 + 0.164926i \(0.947261\pi\)
\(444\) −2.29212 + 1.38116i −0.108779 + 0.0655468i
\(445\) 2.20183 + 6.77655i 0.104377 + 0.321239i
\(446\) 2.47926 + 7.63037i 0.117396 + 0.361309i
\(447\) 19.2171 11.5796i 0.908938 0.547695i
\(448\) 0.587785 + 0.809017i 0.0277702 + 0.0382225i
\(449\) −4.70915 1.53010i −0.222238 0.0722097i 0.195781 0.980648i \(-0.437276\pi\)
−0.418020 + 0.908438i \(0.637276\pi\)
\(450\) −9.61645 9.90836i −0.453324 0.467084i
\(451\) −12.9861 1.48265i −0.611494 0.0698151i
\(452\) 16.0295i 0.753964i
\(453\) 16.5785 19.1197i 0.778927 0.898322i
\(454\) −0.597813 + 0.434336i −0.0280567 + 0.0203844i
\(455\) 0.939965 1.29375i 0.0440662 0.0606520i
\(456\) −0.198195 + 2.29852i −0.00928134 + 0.107638i
\(457\) 13.7015 4.45188i 0.640927 0.208250i 0.0295179 0.999564i \(-0.490603\pi\)
0.611410 + 0.791314i \(0.290603\pi\)
\(458\) −5.02482 3.65075i −0.234795 0.170588i
\(459\) 15.5277 24.1084i 0.724773 1.12528i
\(460\) −1.63479 + 5.03136i −0.0762223 + 0.234588i
\(461\) −15.7347 −0.732840 −0.366420 0.930450i \(-0.619417\pi\)
−0.366420 + 0.930450i \(0.619417\pi\)
\(462\) −5.70697 + 0.656120i −0.265512 + 0.0305255i
\(463\) 39.4648 1.83409 0.917043 0.398789i \(-0.130570\pi\)
0.917043 + 0.398789i \(0.130570\pi\)
\(464\) −0.270209 + 0.831617i −0.0125441 + 0.0386068i
\(465\) −10.1341 + 2.35300i −0.469956 + 0.109118i
\(466\) 17.0069 + 12.3563i 0.787831 + 0.572393i
\(467\) 16.1579 5.25002i 0.747699 0.242942i 0.0897082 0.995968i \(-0.471407\pi\)
0.657991 + 0.753026i \(0.271407\pi\)
\(468\) 6.72803 + 3.55577i 0.311003 + 0.164366i
\(469\) −1.18689 + 1.63361i −0.0548054 + 0.0754332i
\(470\) 1.08003 0.784689i 0.0498182 0.0361950i
\(471\) 16.3487 + 14.1758i 0.753307 + 0.653186i
\(472\) 6.85915i 0.315718i
\(473\) 7.04012 7.67935i 0.323705 0.353097i
\(474\) −15.6923 6.63782i −0.720772 0.304885i
\(475\) 5.83045 + 1.89443i 0.267520 + 0.0869224i
\(476\) 3.24383 + 4.46475i 0.148681 + 0.204642i
\(477\) −8.79588 + 1.25865i −0.402736 + 0.0576296i
\(478\) 3.08168 + 9.48443i 0.140953 + 0.433808i
\(479\) −7.29830 22.4619i −0.333468 1.02631i −0.967472 0.252979i \(-0.918590\pi\)
0.634004 0.773330i \(-0.281410\pi\)
\(480\) −0.563562 0.935270i −0.0257230 0.0426890i
\(481\) −2.30363 3.17067i −0.105036 0.144570i
\(482\) −15.1582 4.92519i −0.690436 0.224336i
\(483\) 5.66234 13.3862i 0.257646 0.609094i
\(484\) 5.66981 9.42620i 0.257719 0.428464i
\(485\) 4.05556i 0.184153i
\(486\) 10.5597 11.4670i 0.478999 0.520154i
\(487\) −18.1924 + 13.2175i −0.824374 + 0.598943i −0.917962 0.396668i \(-0.870166\pi\)
0.0935878 + 0.995611i \(0.470166\pi\)
\(488\) −7.09995 + 9.77224i −0.321399 + 0.442368i
\(489\) −2.53204 0.218330i −0.114503 0.00987323i
\(490\) 0.599576 0.194814i 0.0270861 0.00880080i
\(491\) −11.7331 8.52463i −0.529510 0.384711i 0.290665 0.956825i \(-0.406124\pi\)
−0.820174 + 0.572114i \(0.806124\pi\)
\(492\) 1.54381 + 6.64898i 0.0696002 + 0.299759i
\(493\) −1.49121 + 4.58947i −0.0671608 + 0.206700i
\(494\) −3.37872 −0.152016
\(495\) 6.27018 0.178443i 0.281824 0.00802039i
\(496\) 9.52767 0.427805
\(497\) −4.51048 + 13.8818i −0.202323 + 0.622685i
\(498\) −4.51686 19.4535i −0.202405 0.871733i
\(499\) −28.8722 20.9769i −1.29250 0.939054i −0.292644 0.956221i \(-0.594535\pi\)
−0.999853 + 0.0171678i \(0.994535\pi\)
\(500\) −5.75746 + 1.87071i −0.257482 + 0.0836608i
\(501\) −24.5485 2.11675i −1.09675 0.0945692i
\(502\) 10.6942 14.7193i 0.477307 0.656957i
\(503\) 17.0623 12.3965i 0.760769 0.552731i −0.138377 0.990380i \(-0.544189\pi\)
0.899146 + 0.437649i \(0.144189\pi\)
\(504\) 1.32186 + 2.69308i 0.0588804 + 0.119959i
\(505\) 7.28297i 0.324088i
\(506\) 13.6993 + 24.2265i 0.609006 + 1.07700i
\(507\) 4.43025 10.4734i 0.196754 0.465142i
\(508\) −8.81861 2.86534i −0.391263 0.127129i
\(509\) 0.518631 + 0.713835i 0.0229879 + 0.0316402i 0.820356 0.571853i \(-0.193775\pi\)
−0.797368 + 0.603493i \(0.793775\pi\)
\(510\) −3.11015 5.16151i −0.137720 0.228556i
\(511\) 0.873596 + 2.68865i 0.0386456 + 0.118939i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) −1.76620 + 6.69201i −0.0779798 + 0.295459i
\(514\) −4.68279 6.44531i −0.206549 0.284290i
\(515\) 2.52516 + 0.820473i 0.111272 + 0.0361544i
\(516\) −5.01080 2.11956i −0.220588 0.0933084i
\(517\) 0.796678 6.97790i 0.0350378 0.306888i
\(518\) 1.54504i 0.0678851i
\(519\) −2.38012 2.06378i −0.104476 0.0905900i
\(520\) 1.29375 0.939965i 0.0567347 0.0412202i
\(521\) −14.3316 + 19.7257i −0.627878 + 0.864200i −0.997897 0.0648241i \(-0.979351\pi\)
0.370018 + 0.929024i \(0.379351\pi\)
\(522\) −1.22573 + 2.31926i −0.0536489 + 0.101511i
\(523\) 37.6294 12.2265i 1.64542 0.534629i 0.667679 0.744450i \(-0.267288\pi\)
0.977740 + 0.209821i \(0.0672880\pi\)
\(524\) 5.19136 + 3.77174i 0.226786 + 0.164769i
\(525\) 7.76529 1.80300i 0.338905 0.0786895i
\(526\) 1.91889 5.90574i 0.0836676 0.257502i
\(527\) 52.5807 2.29045
\(528\) −5.63040 1.13954i −0.245032 0.0495923i
\(529\) −47.4177 −2.06164
\(530\) −0.577006 + 1.77584i −0.0250635 + 0.0771376i
\(531\) −3.52248 + 20.2737i −0.152863 + 0.879805i
\(532\) −1.07759 0.782917i −0.0467196 0.0339437i
\(533\) −9.50730 + 3.08911i −0.411807 + 0.133804i
\(534\) 1.68175 19.5037i 0.0727762 0.844006i
\(535\) 4.92861 6.78365i 0.213082 0.293283i
\(536\) −1.63361 + 1.18689i −0.0705613 + 0.0512658i
\(537\) 14.4072 16.6156i 0.621719 0.717017i
\(538\) 3.21669i 0.138681i
\(539\) 1.37608 3.01768i 0.0592722 0.129981i
\(540\) −1.18543 3.05381i −0.0510127 0.131415i
\(541\) −0.990011 0.321674i −0.0425639 0.0138298i 0.287658 0.957733i \(-0.407123\pi\)
−0.330222 + 0.943903i \(0.607123\pi\)
\(542\) −3.91340 5.38634i −0.168095 0.231363i
\(543\) −37.3494 + 22.5055i −1.60282 + 0.965804i
\(544\) 1.70538 + 5.24863i 0.0731177 + 0.225033i
\(545\) −3.64968 11.2326i −0.156335 0.481150i
\(546\) −3.76317 + 2.26756i −0.161049 + 0.0970426i
\(547\) 3.89861 + 5.36598i 0.166693 + 0.229433i 0.884189 0.467130i \(-0.154712\pi\)
−0.717496 + 0.696562i \(0.754712\pi\)
\(548\) −0.648083 0.210575i −0.0276847 0.00899531i
\(549\) −26.0039 + 25.2378i −1.10982 + 1.07712i
\(550\) −6.33351 + 13.8890i −0.270062 + 0.592231i
\(551\) 1.16470i 0.0496179i
\(552\) 9.52178 10.9813i 0.405274 0.467395i
\(553\) 7.95843 5.78214i 0.338427 0.245882i
\(554\) 7.55817 10.4029i 0.321116 0.441978i
\(555\) −0.144935 + 1.68085i −0.00615215 + 0.0713481i
\(556\) 12.6172 4.09957i 0.535088 0.173860i
\(557\) −6.90709 5.01829i −0.292663 0.212632i 0.431759 0.901989i \(-0.357893\pi\)
−0.724422 + 0.689357i \(0.757893\pi\)
\(558\) 28.1611 + 4.89288i 1.19215 + 0.207132i
\(559\) 2.46222 7.57794i 0.104141 0.320513i
\(560\) 0.630432 0.0266406
\(561\) −31.0727 6.28884i −1.31189 0.265515i
\(562\) −0.650629 −0.0274451
\(563\) −6.72338 + 20.6924i −0.283357 + 0.872082i 0.703530 + 0.710666i \(0.251606\pi\)
−0.986886 + 0.161416i \(0.948394\pi\)
\(564\) −3.57273 + 0.829542i −0.150439 + 0.0349300i
\(565\) −8.17552 5.93986i −0.343947 0.249892i
\(566\) −28.3176 + 9.20093i −1.19028 + 0.386744i
\(567\) 2.52403 + 8.63882i 0.105999 + 0.362796i
\(568\) −8.57944 + 11.8086i −0.359985 + 0.495477i
\(569\) −16.9747 + 12.3328i −0.711617 + 0.517020i −0.883695 0.468064i \(-0.844952\pi\)
0.172078 + 0.985083i \(0.444952\pi\)
\(570\) 1.09887 + 0.952823i 0.0460267 + 0.0399094i
\(571\) 42.7095i 1.78734i 0.448726 + 0.893669i \(0.351878\pi\)
−0.448726 + 0.893669i \(0.648122\pi\)
\(572\) 0.954326 8.35871i 0.0399024 0.349495i
\(573\) 34.7610 + 14.7038i 1.45216 + 0.614261i
\(574\) −3.74802 1.21781i −0.156440 0.0508303i
\(575\) −22.7017 31.2462i −0.946727 1.30306i
\(576\) 0.424957 + 2.96975i 0.0177066 + 0.123740i
\(577\) −11.8863 36.5823i −0.494833 1.52294i −0.817216 0.576331i \(-0.804484\pi\)
0.322383 0.946609i \(-0.395516\pi\)
\(578\) 4.15828 + 12.7979i 0.172962 + 0.532321i
\(579\) 16.7796 + 27.8470i 0.697338 + 1.15728i
\(580\) 0.324021 + 0.445977i 0.0134543 + 0.0185182i
\(581\) 10.9659 + 3.56305i 0.454944 + 0.147820i
\(582\) 4.34078 10.2619i 0.179931 0.425371i
\(583\) 4.83522 + 8.55086i 0.200254 + 0.354141i
\(584\) 2.82701i 0.116983i
\(585\) 4.30668 2.11387i 0.178059 0.0873979i
\(586\) 25.9493 18.8533i 1.07196 0.778822i
\(587\) −15.0522 + 20.7175i −0.621270 + 0.855104i −0.997445 0.0714444i \(-0.977239\pi\)
0.376175 + 0.926549i \(0.377239\pi\)
\(588\) −1.72565 0.148798i −0.0711645 0.00613631i
\(589\) −12.0695 + 3.92162i −0.497316 + 0.161588i
\(590\) 3.49837 + 2.54172i 0.144026 + 0.104641i
\(591\) 3.96573 + 17.0799i 0.163128 + 0.702573i
\(592\) 0.477443 1.46942i 0.0196228 0.0603927i
\(593\) −29.3628 −1.20579 −0.602893 0.797822i \(-0.705985\pi\)
−0.602893 + 0.797822i \(0.705985\pi\)
\(594\) −16.0567 6.25963i −0.658814 0.256836i
\(595\) 3.47919 0.142633
\(596\) −4.00287 + 12.3196i −0.163964 + 0.504629i
\(597\) 9.13457 + 39.3414i 0.373853 + 1.61014i
\(598\) 17.2208 + 12.5116i 0.704211 + 0.511639i
\(599\) 19.8325 6.44398i 0.810336 0.263294i 0.125596 0.992082i \(-0.459916\pi\)
0.684740 + 0.728788i \(0.259916\pi\)
\(600\) 7.94239 + 0.684850i 0.324247 + 0.0279589i
\(601\) 0.292687 0.402849i 0.0119390 0.0164326i −0.803006 0.595971i \(-0.796767\pi\)
0.814945 + 0.579539i \(0.196767\pi\)
\(602\) 2.54125 1.84633i 0.103574 0.0752507i
\(603\) −5.43802 + 2.66918i −0.221453 + 0.108697i
\(604\) 14.6106i 0.594497i
\(605\) −2.70665 6.38473i −0.110041 0.259576i
\(606\) −7.79517 + 18.4284i −0.316657 + 0.748602i
\(607\) 18.1219 + 5.88815i 0.735544 + 0.238993i 0.652749 0.757574i \(-0.273615\pi\)
0.0827947 + 0.996567i \(0.473615\pi\)
\(608\) −0.782917 1.07759i −0.0317515 0.0437021i
\(609\) −0.781665 1.29723i −0.0316747 0.0525663i
\(610\) 2.35319 + 7.24237i 0.0952778 + 0.293235i
\(611\) −1.65989 5.10860i −0.0671518 0.206672i
\(612\) 2.34523 + 16.3893i 0.0948002 + 0.662497i
\(613\) 3.97925 + 5.47697i 0.160720 + 0.221213i 0.881781 0.471660i \(-0.156345\pi\)
−0.721060 + 0.692872i \(0.756345\pi\)
\(614\) 5.53023 + 1.79688i 0.223182 + 0.0725162i
\(615\) 3.96325 + 1.67645i 0.159814 + 0.0676008i
\(616\) 2.24125 2.44475i 0.0903025 0.0985018i
\(617\) 3.45216i 0.138979i −0.997583 0.0694893i \(-0.977863\pi\)
0.997583 0.0694893i \(-0.0221370\pi\)
\(618\) −5.51133 4.77883i −0.221698 0.192233i
\(619\) 11.9591 8.68880i 0.480677 0.349232i −0.320911 0.947109i \(-0.603989\pi\)
0.801588 + 0.597877i \(0.203989\pi\)
\(620\) 3.53056 4.85940i 0.141791 0.195158i
\(621\) 33.7831 27.5677i 1.35567 1.10626i
\(622\) −15.9581 + 5.18509i −0.639861 + 0.207903i
\(623\) 9.14369 + 6.64328i 0.366334 + 0.266157i
\(624\) −4.27970 + 0.993693i −0.171325 + 0.0397796i
\(625\) 5.93198 18.2568i 0.237279 0.730271i
\(626\) −20.0197 −0.800146
\(627\) 7.60156 0.873937i 0.303577 0.0349017i
\(628\) −12.4931 −0.498529
\(629\) 2.63488 8.10933i 0.105060 0.323340i
\(630\) 1.86338 + 0.323755i 0.0742388 + 0.0128987i
\(631\) 6.83413 + 4.96529i 0.272063 + 0.197665i 0.715448 0.698666i \(-0.246223\pi\)
−0.443385 + 0.896331i \(0.646223\pi\)
\(632\) 9.35570 3.03985i 0.372150 0.120919i
\(633\) −1.73759 + 20.1513i −0.0690631 + 0.800944i
\(634\) 9.32246 12.8313i 0.370242 0.509594i
\(635\) −4.72922 + 3.43598i −0.187673 + 0.136353i
\(636\) 3.36075 3.87590i 0.133263 0.153689i
\(637\) 2.53662i 0.100504i
\(638\) 2.88138 + 0.328972i 0.114075 + 0.0130241i
\(639\) −31.4227 + 30.4969i −1.24306 + 1.20644i
\(640\) 0.599576 + 0.194814i 0.0237003 + 0.00770070i
\(641\) −1.42345 1.95921i −0.0562229 0.0773841i 0.779980 0.625805i \(-0.215229\pi\)
−0.836203 + 0.548421i \(0.815229\pi\)
\(642\) −19.7318 + 11.8897i −0.778752 + 0.469249i
\(643\) −13.3203 40.9956i −0.525300 1.61671i −0.763721 0.645546i \(-0.776630\pi\)
0.238421 0.971162i \(-0.423370\pi\)
\(644\) 2.59312 + 7.98081i 0.102183 + 0.314488i
\(645\) −2.93783 + 1.77024i −0.115677 + 0.0697031i
\(646\) −4.32071 5.94695i −0.169996 0.233980i
\(647\) −4.44343 1.44376i −0.174689 0.0567599i 0.220366 0.975417i \(-0.429275\pi\)
−0.395056 + 0.918657i \(0.629275\pi\)
\(648\) −0.269045 + 8.99598i −0.0105691 + 0.353395i
\(649\) 22.2936 4.53028i 0.875100 0.177829i
\(650\) 11.6749i 0.457928i
\(651\) −10.8109 + 12.4681i −0.423714 + 0.488662i
\(652\) 1.18707 0.862455i 0.0464891 0.0337763i
\(653\) 4.56110 6.27782i 0.178490 0.245670i −0.710393 0.703806i \(-0.751483\pi\)
0.888882 + 0.458136i \(0.151483\pi\)
\(654\) −2.78760 + 32.3286i −0.109004 + 1.26415i
\(655\) 3.84740 1.25010i 0.150331 0.0488453i
\(656\) −3.18826 2.31641i −0.124481 0.0904405i
\(657\) −1.45180 + 8.35586i −0.0566400 + 0.325993i
\(658\) 0.654370 2.01394i 0.0255100 0.0785117i
\(659\) −44.5440 −1.73519 −0.867594 0.497273i \(-0.834335\pi\)
−0.867594 + 0.497273i \(0.834335\pi\)
\(660\) −2.66759 + 2.44941i −0.103836 + 0.0953430i
\(661\) −22.6199 −0.879812 −0.439906 0.898044i \(-0.644988\pi\)
−0.439906 + 0.898044i \(0.644988\pi\)
\(662\) −7.39838 + 22.7699i −0.287546 + 0.884977i
\(663\) −23.6186 + 5.48393i −0.917269 + 0.212978i
\(664\) 9.32819 + 6.77733i 0.362004 + 0.263011i
\(665\) −0.798622 + 0.259488i −0.0309692 + 0.0100625i
\(666\) 2.16580 4.09800i 0.0839230 0.158794i
\(667\) −4.31297 + 5.93629i −0.166999 + 0.229854i
\(668\) 11.5088 8.36164i 0.445289 0.323521i
\(669\) −10.4991 9.10367i −0.405919 0.351968i
\(670\) 1.27300i 0.0491804i
\(671\) 36.4510 + 16.6219i 1.40718 + 0.641682i
\(672\) −1.59521 0.674769i −0.0615365 0.0260298i
\(673\) −16.5856 5.38899i −0.639328 0.207730i −0.0286253 0.999590i \(-0.509113\pi\)
−0.610703 + 0.791860i \(0.709113\pi\)
\(674\) 14.9753 + 20.6117i 0.576826 + 0.793933i
\(675\) 23.1238 + 6.10299i 0.890034 + 0.234904i
\(676\) 2.02887 + 6.24423i 0.0780336 + 0.240163i
\(677\) 2.42101 + 7.45110i 0.0930470 + 0.286369i 0.986740 0.162310i \(-0.0518945\pi\)
−0.893693 + 0.448679i \(0.851895\pi\)
\(678\) 14.3292 + 23.7804i 0.550311 + 0.913280i
\(679\) 3.78122 + 5.20440i 0.145110 + 0.199726i
\(680\) 3.30890 + 1.07513i 0.126891 + 0.0412293i
\(681\) 0.498612 1.17876i 0.0191069 0.0451701i
\(682\) −6.29276 30.9668i −0.240962 1.18578i
\(683\) 12.7730i 0.488744i 0.969682 + 0.244372i \(0.0785817\pi\)
−0.969682 + 0.244372i \(0.921418\pi\)
\(684\) −1.76069 3.58712i −0.0673216 0.137157i
\(685\) −0.347552 + 0.252511i −0.0132793 + 0.00964796i
\(686\) 0.587785 0.809017i 0.0224417 0.0308884i
\(687\) 10.7180 + 0.924186i 0.408919 + 0.0352599i
\(688\) 2.98742 0.970672i 0.113894 0.0370065i
\(689\) 6.07816 + 4.41604i 0.231559 + 0.168238i
\(690\) −2.07241 8.92560i −0.0788954 0.339792i
\(691\) 1.20378 3.70486i 0.0457941 0.140940i −0.925545 0.378637i \(-0.876393\pi\)
0.971339 + 0.237698i \(0.0763928\pi\)
\(692\) 1.81881 0.0691407
\(693\) 7.87999 6.07501i 0.299336 0.230771i
\(694\) −9.87102 −0.374699
\(695\) 2.58450 7.95427i 0.0980356 0.301723i
\(696\) −0.342542 1.47528i −0.0129840 0.0559205i
\(697\) −17.5952 12.7836i −0.666465 0.484215i
\(698\) −3.55943 + 1.15653i −0.134727 + 0.0437753i
\(699\) −36.2761 3.12798i −1.37209 0.118311i
\(700\) −2.70531 + 3.72355i −0.102251 + 0.140737i
\(701\) −32.4724 + 23.5926i −1.22647 + 0.891080i −0.996620 0.0821466i \(-0.973822\pi\)
−0.229847 + 0.973227i \(0.573822\pi\)
\(702\) −13.1599 + 0.739258i −0.496688 + 0.0279015i
\(703\) 2.05796i 0.0776173i
\(704\) 2.88702 1.63251i 0.108809 0.0615276i
\(705\) −0.900812 + 2.12959i −0.0339266 + 0.0802050i
\(706\) −11.4060 3.70605i −0.429272 0.139479i
\(707\) −6.79030 9.34604i −0.255375 0.351494i
\(708\) −6.13160 10.1758i −0.230440 0.382431i
\(709\) −0.860744 2.64910i −0.0323259 0.0994890i 0.933592 0.358339i \(-0.116657\pi\)
−0.965918 + 0.258850i \(0.916657\pi\)
\(710\) 2.84355 + 8.75154i 0.106717 + 0.328440i
\(711\) 29.2139 4.18037i 1.09561 0.156776i
\(712\) 6.64328 + 9.14369i 0.248968 + 0.342674i
\(713\) 76.0385 + 24.7064i 2.84767 + 0.925262i
\(714\) −8.80353 3.72388i −0.329464 0.139363i
\(715\) −3.90956 3.58412i −0.146209 0.134039i
\(716\) 12.6971i 0.474512i
\(717\) −13.0502 11.3157i −0.487369 0.422593i
\(718\) 0.346004 0.251387i 0.0129128 0.00938168i
\(719\) 13.3890 18.4284i 0.499326 0.687264i −0.482748 0.875760i \(-0.660361\pi\)
0.982074 + 0.188496i \(0.0603611\pi\)
\(720\) 1.67213 + 0.883725i 0.0623167 + 0.0329345i
\(721\) 4.00544 1.30145i 0.149170 0.0484684i
\(722\) −13.9360 10.1251i −0.518644 0.376817i
\(723\) 26.8905 6.24364i 1.00007 0.232203i
\(724\) 7.77978 23.9437i 0.289133 0.889861i
\(725\) −4.02454 −0.149468
\(726\) 0.0149836 + 19.0526i 0.000556094 + 0.707107i
\(727\) 34.4923 1.27925 0.639624 0.768688i \(-0.279090\pi\)
0.639624 + 0.768688i \(0.279090\pi\)
\(728\) 0.783858 2.41247i 0.0290517 0.0894120i
\(729\) −5.41506 + 26.4514i −0.200558 + 0.979682i
\(730\) 1.44186 + 1.04757i 0.0533657 + 0.0387725i
\(731\) 16.4868 5.35688i 0.609786 0.198132i
\(732\) 1.79735 20.8444i 0.0664319 0.770429i
\(733\) 8.22700 11.3235i 0.303871 0.418243i −0.629586 0.776930i \(-0.716776\pi\)
0.933458 + 0.358688i \(0.116776\pi\)
\(734\) −1.45752 + 1.05895i −0.0537981 + 0.0390866i
\(735\) −0.715344 + 0.824994i −0.0263859 + 0.0304303i
\(736\) 8.39152i 0.309316i
\(737\) 4.93657 + 4.52565i 0.181841 + 0.166705i
\(738\) −8.23402 8.48396i −0.303098 0.312299i
\(739\) 47.1724 + 15.3272i 1.73526 + 0.563821i 0.994194 0.107606i \(-0.0343186\pi\)
0.741070 + 0.671428i \(0.234319\pi\)
\(740\) −0.572527 0.788015i −0.0210465 0.0289680i
\(741\) 5.01246 3.02034i 0.184137 0.110955i
\(742\) 0.915255 + 2.81686i 0.0336001 + 0.103410i
\(743\) −3.78938 11.6625i −0.139019 0.427856i 0.857175 0.515026i \(-0.172218\pi\)
−0.996193 + 0.0871698i \(0.972218\pi\)
\(744\) −14.1347 + 8.51707i −0.518202 + 0.312251i
\(745\) 4.80005 + 6.60670i 0.175860 + 0.242051i
\(746\) −1.20017 0.389960i −0.0439414 0.0142774i
\(747\) 24.0910 + 24.8223i 0.881445 + 0.908201i
\(748\) 15.9327 9.00941i 0.582558 0.329417i
\(749\) 13.3005i 0.485989i
\(750\) 6.86914 7.92205i 0.250825 0.289272i
\(751\) 33.8547 24.5969i 1.23538 0.897554i 0.238095 0.971242i \(-0.423477\pi\)
0.997281 + 0.0736882i \(0.0234770\pi\)
\(752\) 1.24469 1.71316i 0.0453890 0.0624726i
\(753\) −2.70724 + 31.3966i −0.0986574 + 1.14416i
\(754\) 2.10949 0.685416i 0.0768232 0.0249614i
\(755\) 7.45185 + 5.41409i 0.271201 + 0.197039i
\(756\) −4.36846 2.81364i −0.158879 0.102331i
\(757\) −10.5531 + 32.4791i −0.383559 + 1.18047i 0.553962 + 0.832542i \(0.313115\pi\)
−0.937521 + 0.347930i \(0.886885\pi\)
\(758\) 25.0911 0.911351
\(759\) −41.9802 23.6948i −1.52379 0.860067i
\(760\) −0.839721 −0.0304599
\(761\) −14.6982 + 45.2365i −0.532810 + 1.63982i 0.215524 + 0.976498i \(0.430854\pi\)
−0.748334 + 0.663322i \(0.769146\pi\)
\(762\) 15.6442 3.63238i 0.566729 0.131587i
\(763\) −15.1563 11.0117i −0.548694 0.398650i
\(764\) −20.7243 + 6.73375i −0.749781 + 0.243618i
\(765\) 9.22806 + 4.87705i 0.333641 + 0.176330i
\(766\) −3.50017 + 4.81756i −0.126466 + 0.174066i
\(767\) 14.0761 10.2269i 0.508259 0.369272i
\(768\) −1.30862 1.13469i −0.0472207 0.0409446i
\(769\) 53.6365i 1.93418i −0.254434 0.967090i \(-0.581889\pi\)
0.254434 0.967090i \(-0.418111\pi\)
\(770\) −0.416382 2.04903i −0.0150054 0.0738418i
\(771\) 12.7088 + 5.37578i 0.457695 + 0.193604i
\(772\) −17.8519 5.80045i −0.642506 0.208763i
\(773\) −22.4085 30.8427i −0.805979 1.10934i −0.991931 0.126777i \(-0.959537\pi\)
0.185952 0.982559i \(-0.440463\pi\)
\(774\)