Properties

Label 177.2.e.a.7.5
Level $177$
Weight $2$
Character 177.7
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) \(=\) 177.7
Dual form 177.2.e.a.76.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.03249 + 1.52281i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-0.512640 + 1.28663i) q^{4} +(1.77030 - 0.819027i) q^{5} +(1.57648 - 0.948534i) q^{6} +(0.611139 - 2.20113i) q^{7} +(1.10505 - 0.243241i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\) \(q+(1.03249 + 1.52281i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-0.512640 + 1.28663i) q^{4} +(1.77030 - 0.819027i) q^{5} +(1.57648 - 0.948534i) q^{6} +(0.611139 - 2.20113i) q^{7} +(1.10505 - 0.243241i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(3.07504 + 1.85019i) q^{10} +(-4.59227 + 4.35003i) q^{11} +(1.25699 + 0.581545i) q^{12} +(-4.53639 + 0.493362i) q^{13} +(3.98290 - 1.34199i) q^{14} +(-0.721984 - 1.81204i) q^{15} +(3.52237 + 3.33657i) q^{16} +(1.27458 + 4.59062i) q^{17} +(-0.861795 - 1.62552i) q^{18} +(-2.06023 + 1.56615i) q^{19} +(0.146259 + 2.69758i) q^{20} +(-2.16481 - 0.729410i) q^{21} +(-11.3658 - 2.50179i) q^{22} +(4.04174 - 7.62352i) q^{23} +(-0.183057 - 1.11660i) q^{24} +(-0.773780 + 0.910965i) q^{25} +(-5.43508 - 6.39868i) q^{26} +(-0.161782 + 0.986827i) q^{27} +(2.51874 + 1.91469i) q^{28} +(3.13495 - 4.62370i) q^{29} +(2.01396 - 2.97037i) q^{30} +(-1.72336 - 1.31006i) q^{31} +(-1.07803 + 6.57568i) q^{32} +(4.09503 + 4.82104i) q^{33} +(-5.67466 + 6.68072i) q^{34} +(-0.720882 - 4.39719i) q^{35} +(0.648744 - 1.22366i) q^{36} +(-6.46255 - 1.42252i) q^{37} +(-4.51212 - 1.52031i) q^{38} +(0.247043 + 4.55645i) q^{39} +(1.75705 - 1.33568i) q^{40} +(5.00369 + 9.43796i) q^{41} +(-1.12440 - 4.04971i) q^{42} +(-3.92673 - 3.71960i) q^{43} +(-3.24269 - 8.13855i) q^{44} +(-1.84847 + 0.622823i) q^{45} +(15.7823 - 1.71642i) q^{46} +(-3.31091 - 1.53179i) q^{47} +(3.52237 - 3.33657i) q^{48} +(1.52654 + 0.918488i) q^{49} +(-2.18615 - 0.237758i) q^{50} +(4.65289 - 1.02418i) q^{51} +(1.69076 - 6.08957i) q^{52} +(7.88882 - 4.74654i) q^{53} +(-1.66979 + 0.772527i) q^{54} +(-4.56690 + 11.4621i) q^{55} +(0.139939 - 2.58101i) q^{56} +(1.45231 + 2.14200i) q^{57} +10.2778 q^{58} +(-6.46177 - 4.15278i) q^{59} +2.70154 q^{60} +(-1.13414 - 1.67273i) q^{61} +(0.215625 - 3.97697i) q^{62} +(-0.845540 + 2.12215i) q^{63} +(-2.31987 + 1.07329i) q^{64} +(-7.62669 + 4.58883i) q^{65} +(-3.11345 + 11.2137i) q^{66} +(5.09847 - 1.12226i) q^{67} +(-6.55982 - 0.713424i) q^{68} +(-7.39353 - 4.44854i) q^{69} +(5.95179 - 5.63783i) q^{70} +(0.960088 + 0.444184i) q^{71} +(-1.12487 + 0.122337i) q^{72} +(2.51202 - 0.846396i) q^{73} +(-4.50631 - 11.3100i) q^{74} +(0.867737 + 0.821964i) q^{75} +(-0.958894 - 3.45362i) q^{76} +(6.76845 + 12.7666i) q^{77} +(-6.68354 + 5.08070i) q^{78} +(-0.341308 - 6.29506i) q^{79} +(8.96838 + 3.02180i) q^{80} +(0.976621 + 0.214970i) q^{81} +(-9.20597 + 17.3643i) q^{82} +(0.833375 + 5.08336i) q^{83} +(2.04825 - 2.41138i) q^{84} +(6.01623 + 7.08285i) q^{85} +(1.60993 - 9.82014i) q^{86} +(-4.44720 - 3.38067i) q^{87} +(-4.01660 + 5.92404i) q^{88} +(-2.24571 + 3.31217i) q^{89} +(-2.85698 - 2.17182i) q^{90} +(-1.68642 + 10.2867i) q^{91} +(7.73669 + 9.10834i) q^{92} +(-1.40144 + 1.64990i) q^{93} +(-1.08586 - 6.62345i) q^{94} +(-2.36451 + 4.45993i) q^{95} +(6.50767 + 1.43245i) q^{96} +(3.57578 + 1.20482i) q^{97} +(0.177455 + 3.27296i) q^{98} +(5.03567 - 3.82802i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.03249 + 1.52281i 0.730082 + 1.07679i 0.993690 + 0.112161i \(0.0357771\pi\)
−0.263608 + 0.964630i \(0.584913\pi\)
\(3\) 0.0541389 0.998533i 0.0312571 0.576504i
\(4\) −0.512640 + 1.28663i −0.256320 + 0.643314i
\(5\) 1.77030 0.819027i 0.791702 0.366280i 0.0180061 0.999838i \(-0.494268\pi\)
0.773695 + 0.633558i \(0.218406\pi\)
\(6\) 1.57648 0.948534i 0.643594 0.387238i
\(7\) 0.611139 2.20113i 0.230989 0.831947i −0.753640 0.657288i \(-0.771704\pi\)
0.984629 0.174660i \(-0.0558825\pi\)
\(8\) 1.10505 0.243241i 0.390695 0.0859985i
\(9\) −0.994138 0.108119i −0.331379 0.0360397i
\(10\) 3.07504 + 1.85019i 0.972414 + 0.585082i
\(11\) −4.59227 + 4.35003i −1.38462 + 1.31158i −0.485266 + 0.874366i \(0.661277\pi\)
−0.899356 + 0.437218i \(0.855964\pi\)
\(12\) 1.25699 + 0.581545i 0.362861 + 0.167877i
\(13\) −4.53639 + 0.493362i −1.25817 + 0.136834i −0.712803 0.701364i \(-0.752575\pi\)
−0.545365 + 0.838198i \(0.683609\pi\)
\(14\) 3.98290 1.34199i 1.06447 0.358663i
\(15\) −0.721984 1.81204i −0.186415 0.467868i
\(16\) 3.52237 + 3.33657i 0.880592 + 0.834141i
\(17\) 1.27458 + 4.59062i 0.309131 + 1.11339i 0.941026 + 0.338335i \(0.109864\pi\)
−0.631895 + 0.775054i \(0.717723\pi\)
\(18\) −0.861795 1.62552i −0.203127 0.383138i
\(19\) −2.06023 + 1.56615i −0.472650 + 0.359299i −0.814219 0.580558i \(-0.802835\pi\)
0.341570 + 0.939856i \(0.389042\pi\)
\(20\) 0.146259 + 2.69758i 0.0327044 + 0.603198i
\(21\) −2.16481 0.729410i −0.472400 0.159170i
\(22\) −11.3658 2.50179i −2.42319 0.533384i
\(23\) 4.04174 7.62352i 0.842760 1.58961i 0.0355371 0.999368i \(-0.488686\pi\)
0.807223 0.590246i \(-0.200969\pi\)
\(24\) −0.183057 1.11660i −0.0373664 0.227925i
\(25\) −0.773780 + 0.910965i −0.154756 + 0.182193i
\(26\) −5.43508 6.39868i −1.06591 1.25488i
\(27\) −0.161782 + 0.986827i −0.0311350 + 0.189915i
\(28\) 2.51874 + 1.91469i 0.475996 + 0.361843i
\(29\) 3.13495 4.62370i 0.582145 0.858600i −0.416579 0.909100i \(-0.636771\pi\)
0.998724 + 0.0504994i \(0.0160813\pi\)
\(30\) 2.01396 2.97037i 0.367697 0.542312i
\(31\) −1.72336 1.31006i −0.309524 0.235294i 0.438867 0.898552i \(-0.355380\pi\)
−0.748391 + 0.663258i \(0.769173\pi\)
\(32\) −1.07803 + 6.57568i −0.190570 + 1.16243i
\(33\) 4.09503 + 4.82104i 0.712853 + 0.839236i
\(34\) −5.67466 + 6.68072i −0.973196 + 1.14573i
\(35\) −0.720882 4.39719i −0.121851 0.743261i
\(36\) 0.648744 1.22366i 0.108124 0.203943i
\(37\) −6.46255 1.42252i −1.06244 0.233860i −0.350831 0.936439i \(-0.614101\pi\)
−0.711606 + 0.702579i \(0.752032\pi\)
\(38\) −4.51212 1.52031i −0.731963 0.246627i
\(39\) 0.247043 + 4.55645i 0.0395586 + 0.729616i
\(40\) 1.75705 1.33568i 0.277814 0.211189i
\(41\) 5.00369 + 9.43796i 0.781445 + 1.47396i 0.878013 + 0.478636i \(0.158869\pi\)
−0.0965680 + 0.995326i \(0.530787\pi\)
\(42\) −1.12440 4.04971i −0.173498 0.624884i
\(43\) −3.92673 3.71960i −0.598821 0.567234i 0.327081 0.944996i \(-0.393935\pi\)
−0.925903 + 0.377763i \(0.876694\pi\)
\(44\) −3.24269 8.13855i −0.488855 1.22693i
\(45\) −1.84847 + 0.622823i −0.275554 + 0.0928450i
\(46\) 15.7823 1.71642i 2.32697 0.253073i
\(47\) −3.31091 1.53179i −0.482945 0.223434i 0.163282 0.986579i \(-0.447792\pi\)
−0.646227 + 0.763145i \(0.723654\pi\)
\(48\) 3.52237 3.33657i 0.508410 0.481592i
\(49\) 1.52654 + 0.918488i 0.218077 + 0.131213i
\(50\) −2.18615 0.237758i −0.309168 0.0336241i
\(51\) 4.65289 1.02418i 0.651535 0.143414i
\(52\) 1.69076 6.08957i 0.234466 0.844471i
\(53\) 7.88882 4.74654i 1.08361 0.651988i 0.142402 0.989809i \(-0.454517\pi\)
0.941210 + 0.337821i \(0.109690\pi\)
\(54\) −1.66979 + 0.772527i −0.227230 + 0.105128i
\(55\) −4.56690 + 11.4621i −0.615800 + 1.54554i
\(56\) 0.139939 2.58101i 0.0187001 0.344902i
\(57\) 1.45231 + 2.14200i 0.192363 + 0.283715i
\(58\) 10.2778 1.34955
\(59\) −6.46177 4.15278i −0.841250 0.540646i
\(60\) 2.70154 0.348768
\(61\) −1.13414 1.67273i −0.145211 0.214171i 0.748127 0.663556i \(-0.230954\pi\)
−0.893338 + 0.449385i \(0.851643\pi\)
\(62\) 0.215625 3.97697i 0.0273844 0.505076i
\(63\) −0.845540 + 2.12215i −0.106528 + 0.267365i
\(64\) −2.31987 + 1.07329i −0.289984 + 0.134161i
\(65\) −7.62669 + 4.58883i −0.945974 + 0.569174i
\(66\) −3.11345 + 11.2137i −0.383240 + 1.38031i
\(67\) 5.09847 1.12226i 0.622877 0.137106i 0.107692 0.994184i \(-0.465654\pi\)
0.515186 + 0.857079i \(0.327723\pi\)
\(68\) −6.55982 0.713424i −0.795496 0.0865154i
\(69\) −7.39353 4.44854i −0.890076 0.535541i
\(70\) 5.95179 5.63783i 0.711374 0.673850i
\(71\) 0.960088 + 0.444184i 0.113941 + 0.0527149i 0.476032 0.879428i \(-0.342075\pi\)
−0.362090 + 0.932143i \(0.617937\pi\)
\(72\) −1.12487 + 0.122337i −0.132568 + 0.0144176i
\(73\) 2.51202 0.846396i 0.294009 0.0990632i −0.168432 0.985713i \(-0.553870\pi\)
0.462441 + 0.886650i \(0.346974\pi\)
\(74\) −4.50631 11.3100i −0.523848 1.31476i
\(75\) 0.867737 + 0.821964i 0.100198 + 0.0949123i
\(76\) −0.958894 3.45362i −0.109993 0.396158i
\(77\) 6.76845 + 12.7666i 0.771336 + 1.45489i
\(78\) −6.68354 + 5.08070i −0.756762 + 0.575276i
\(79\) −0.341308 6.29506i −0.0384002 0.708250i −0.952830 0.303505i \(-0.901843\pi\)
0.914430 0.404745i \(-0.132640\pi\)
\(80\) 8.96838 + 3.02180i 1.00270 + 0.337848i
\(81\) 0.976621 + 0.214970i 0.108513 + 0.0238856i
\(82\) −9.20597 + 17.3643i −1.01663 + 1.91757i
\(83\) 0.833375 + 5.08336i 0.0914747 + 0.557971i 0.992307 + 0.123803i \(0.0395092\pi\)
−0.900832 + 0.434168i \(0.857042\pi\)
\(84\) 2.04825 2.41138i 0.223482 0.263103i
\(85\) 6.01623 + 7.08285i 0.652552 + 0.768243i
\(86\) 1.60993 9.82014i 0.173603 1.05893i
\(87\) −4.44720 3.38067i −0.476790 0.362446i
\(88\) −4.01660 + 5.92404i −0.428171 + 0.631505i
\(89\) −2.24571 + 3.31217i −0.238045 + 0.351090i −0.927881 0.372875i \(-0.878372\pi\)
0.689837 + 0.723965i \(0.257682\pi\)
\(90\) −2.85698 2.17182i −0.301152 0.228930i
\(91\) −1.68642 + 10.2867i −0.176784 + 1.07834i
\(92\) 7.73669 + 9.10834i 0.806606 + 0.949610i
\(93\) −1.40144 + 1.64990i −0.145323 + 0.171087i
\(94\) −1.08586 6.62345i −0.111998 0.683156i
\(95\) −2.36451 + 4.45993i −0.242593 + 0.457580i
\(96\) 6.50767 + 1.43245i 0.664187 + 0.146199i
\(97\) 3.57578 + 1.20482i 0.363065 + 0.122331i 0.494921 0.868938i \(-0.335197\pi\)
−0.131856 + 0.991269i \(0.542094\pi\)
\(98\) 0.177455 + 3.27296i 0.0179257 + 0.330619i
\(99\) 5.03567 3.82802i 0.506104 0.384730i
\(100\) −0.775403 1.46256i −0.0775403 0.146256i
\(101\) 1.80392 + 6.49713i 0.179497 + 0.646488i 0.997461 + 0.0712191i \(0.0226889\pi\)
−0.817964 + 0.575269i \(0.804897\pi\)
\(102\) 6.36371 + 6.02802i 0.630101 + 0.596863i
\(103\) −3.84166 9.64185i −0.378530 0.950040i −0.987610 0.156930i \(-0.949840\pi\)
0.609079 0.793109i \(-0.291539\pi\)
\(104\) −4.89295 + 1.64863i −0.479793 + 0.161661i
\(105\) −4.42977 + 0.481766i −0.432301 + 0.0470156i
\(106\) 15.3732 + 7.11241i 1.49318 + 0.690819i
\(107\) −0.866347 + 0.820648i −0.0837530 + 0.0793350i −0.728431 0.685119i \(-0.759750\pi\)
0.644678 + 0.764454i \(0.276991\pi\)
\(108\) −1.18674 0.714040i −0.114194 0.0687085i
\(109\) −2.42869 0.264136i −0.232626 0.0252996i −0.00893671 0.999960i \(-0.502845\pi\)
−0.223690 + 0.974660i \(0.571810\pi\)
\(110\) −22.1698 + 4.87995i −2.11381 + 0.465285i
\(111\) −1.77030 + 6.37606i −0.168030 + 0.605189i
\(112\) 9.49686 5.71407i 0.897369 0.539929i
\(113\) 12.1774 5.63388i 1.14556 0.529991i 0.247072 0.968997i \(-0.420532\pi\)
0.898484 + 0.439007i \(0.144670\pi\)
\(114\) −1.76236 + 4.42320i −0.165060 + 0.414270i
\(115\) 0.911206 16.8062i 0.0849704 1.56719i
\(116\) 4.34189 + 6.40381i 0.403134 + 0.594579i
\(117\) 4.56314 0.421862
\(118\) −0.347821 14.1278i −0.0320196 1.30057i
\(119\) 10.8835 0.997687
\(120\) −1.23859 1.82679i −0.113068 0.166762i
\(121\) 1.57066 28.9692i 0.142788 2.63356i
\(122\) 1.37626 3.45416i 0.124601 0.312725i
\(123\) 9.69502 4.48539i 0.874170 0.404434i
\(124\) 2.56902 1.54573i 0.230705 0.138811i
\(125\) −3.23289 + 11.6438i −0.289159 + 1.04146i
\(126\) −4.10464 + 0.903500i −0.365671 + 0.0804902i
\(127\) 9.02350 + 0.981365i 0.800706 + 0.0870820i 0.499317 0.866419i \(-0.333584\pi\)
0.301389 + 0.953501i \(0.402550\pi\)
\(128\) 7.38961 + 4.44618i 0.653155 + 0.392991i
\(129\) −3.92673 + 3.71960i −0.345730 + 0.327493i
\(130\) −14.8624 6.87608i −1.30352 0.603073i
\(131\) 1.86401 0.202723i 0.162859 0.0177120i −0.0263261 0.999653i \(-0.508381\pi\)
0.189185 + 0.981941i \(0.439415\pi\)
\(132\) −8.30217 + 2.79733i −0.722611 + 0.243476i
\(133\) 2.18820 + 5.49196i 0.189741 + 0.476214i
\(134\) 6.97312 + 6.60529i 0.602386 + 0.570610i
\(135\) 0.521835 + 1.87948i 0.0449124 + 0.161760i
\(136\) 2.52510 + 4.76285i 0.216526 + 0.408411i
\(137\) −7.21689 + 5.48614i −0.616581 + 0.468712i −0.866245 0.499620i \(-0.833473\pi\)
0.249664 + 0.968333i \(0.419680\pi\)
\(138\) −0.859472 15.8520i −0.0731631 1.34941i
\(139\) −11.3529 3.82525i −0.962944 0.324454i −0.206452 0.978457i \(-0.566192\pi\)
−0.756492 + 0.654003i \(0.773088\pi\)
\(140\) 6.02710 + 1.32667i 0.509383 + 0.112124i
\(141\) −1.70879 + 3.22312i −0.143906 + 0.271436i
\(142\) 0.314874 + 1.92065i 0.0264237 + 0.161177i
\(143\) 18.6862 21.9991i 1.56262 1.83966i
\(144\) −3.14097 3.69784i −0.261748 0.308153i
\(145\) 1.76286 10.7529i 0.146397 0.892984i
\(146\) 3.88254 + 2.95143i 0.321321 + 0.244262i
\(147\) 0.999786 1.47457i 0.0824610 0.121621i
\(148\) 5.14321 7.58567i 0.422769 0.623538i
\(149\) −9.38504 7.13432i −0.768852 0.584466i 0.145513 0.989356i \(-0.453517\pi\)
−0.914365 + 0.404890i \(0.867310\pi\)
\(150\) −0.355765 + 2.17007i −0.0290481 + 0.177186i
\(151\) −9.63366 11.3416i −0.783976 0.922968i 0.214579 0.976707i \(-0.431162\pi\)
−0.998555 + 0.0537388i \(0.982886\pi\)
\(152\) −1.89571 + 2.23181i −0.153763 + 0.181024i
\(153\) −0.770775 4.70152i −0.0623134 0.380095i
\(154\) −12.4528 + 23.4885i −1.00348 + 1.89276i
\(155\) −4.12383 0.907724i −0.331234 0.0729101i
\(156\) −5.98910 2.01796i −0.479512 0.161566i
\(157\) 0.761391 + 14.0430i 0.0607656 + 1.12076i 0.856849 + 0.515568i \(0.172419\pi\)
−0.796083 + 0.605187i \(0.793098\pi\)
\(158\) 9.23380 7.01935i 0.734601 0.558429i
\(159\) −4.31249 8.13422i −0.342003 0.645086i
\(160\) 3.47723 + 12.5239i 0.274899 + 0.990097i
\(161\) −14.3103 13.5554i −1.12781 1.06832i
\(162\) 0.680993 + 1.70916i 0.0535039 + 0.134285i
\(163\) 6.10301 2.05634i 0.478025 0.161065i −0.0699665 0.997549i \(-0.522289\pi\)
0.547991 + 0.836484i \(0.315393\pi\)
\(164\) −14.7082 + 1.59962i −1.14852 + 0.124909i
\(165\) 11.1980 + 5.18074i 0.871763 + 0.403320i
\(166\) −6.88055 + 6.51760i −0.534034 + 0.505864i
\(167\) 5.50581 + 3.31274i 0.426053 + 0.256347i 0.712393 0.701781i \(-0.247611\pi\)
−0.286341 + 0.958128i \(0.592439\pi\)
\(168\) −2.56965 0.279467i −0.198253 0.0215613i
\(169\) 7.63936 1.68155i 0.587643 0.129350i
\(170\) −4.57414 + 16.4746i −0.350821 + 1.26354i
\(171\) 2.21749 1.33422i 0.169575 0.102030i
\(172\) 6.79874 3.14543i 0.518399 0.239837i
\(173\) −5.01247 + 12.5804i −0.381091 + 0.956467i 0.605878 + 0.795558i \(0.292822\pi\)
−0.986969 + 0.160909i \(0.948557\pi\)
\(174\) 0.556431 10.2628i 0.0421829 0.778018i
\(175\) 1.53226 + 2.25991i 0.115828 + 0.170833i
\(176\) −30.6898 −2.31333
\(177\) −4.49652 + 6.22746i −0.337979 + 0.468085i
\(178\) −7.36249 −0.551842
\(179\) 11.2170 + 16.5439i 0.838401 + 1.23655i 0.969478 + 0.245177i \(0.0788461\pi\)
−0.131077 + 0.991372i \(0.541844\pi\)
\(180\) 0.146259 2.69758i 0.0109015 0.201066i
\(181\) 5.69804 14.3010i 0.423532 1.06298i −0.550149 0.835067i \(-0.685429\pi\)
0.973680 0.227918i \(-0.0731917\pi\)
\(182\) −17.4059 + 8.05282i −1.29021 + 0.596915i
\(183\) −1.73168 + 1.04192i −0.128009 + 0.0770206i
\(184\) 2.61198 9.40751i 0.192558 0.693531i
\(185\) −12.6057 + 2.77473i −0.926791 + 0.204002i
\(186\) −3.95947 0.430618i −0.290322 0.0315745i
\(187\) −25.8226 15.5369i −1.88833 1.13617i
\(188\) 3.66815 3.47465i 0.267527 0.253415i
\(189\) 2.07326 + 0.959191i 0.150807 + 0.0697709i
\(190\) −9.23298 + 1.00415i −0.669831 + 0.0728485i
\(191\) −8.13370 + 2.74056i −0.588534 + 0.198300i −0.597784 0.801657i \(-0.703952\pi\)
0.00925023 + 0.999957i \(0.497056\pi\)
\(192\) 0.946117 + 2.37457i 0.0682801 + 0.171370i
\(193\) 17.9695 + 17.0217i 1.29348 + 1.22525i 0.959186 + 0.282775i \(0.0912549\pi\)
0.334289 + 0.942470i \(0.391504\pi\)
\(194\) 1.85725 + 6.68921i 0.133343 + 0.480257i
\(195\) 4.16920 + 7.86394i 0.298562 + 0.563148i
\(196\) −1.96432 + 1.49324i −0.140308 + 0.106660i
\(197\) −0.998644 18.4189i −0.0711505 1.31229i −0.788264 0.615337i \(-0.789020\pi\)
0.717114 0.696956i \(-0.245463\pi\)
\(198\) 11.0286 + 3.71598i 0.783772 + 0.264083i
\(199\) 16.8705 + 3.71347i 1.19591 + 0.263241i 0.767923 0.640542i \(-0.221290\pi\)
0.427991 + 0.903783i \(0.359221\pi\)
\(200\) −0.633485 + 1.19488i −0.0447941 + 0.0844907i
\(201\) −0.844587 5.15175i −0.0595726 0.363377i
\(202\) −8.03137 + 9.45526i −0.565085 + 0.665270i
\(203\) −8.26146 9.72614i −0.579841 0.682641i
\(204\) −1.06752 + 6.51158i −0.0747413 + 0.455902i
\(205\) 16.5880 + 12.6099i 1.15855 + 0.880710i
\(206\) 10.7162 15.8053i 0.746636 1.10121i
\(207\) −4.84229 + 7.14185i −0.336563 + 0.496393i
\(208\) −17.6250 13.3982i −1.22207 0.928995i
\(209\) 2.64836 16.1543i 0.183191 1.11741i
\(210\) −5.30734 6.24828i −0.366241 0.431172i
\(211\) −5.34145 + 6.28844i −0.367721 + 0.432914i −0.914639 0.404272i \(-0.867525\pi\)
0.546918 + 0.837186i \(0.315801\pi\)
\(212\) 2.06292 + 12.5832i 0.141682 + 0.864221i
\(213\) 0.495510 0.934632i 0.0339518 0.0640399i
\(214\) −2.14419 0.471972i −0.146574 0.0322633i
\(215\) −9.99795 3.36870i −0.681854 0.229743i
\(216\) 0.0612586 + 1.12985i 0.00416812 + 0.0768764i
\(217\) −3.93682 + 2.99269i −0.267249 + 0.203157i
\(218\) −2.10537 3.97116i −0.142594 0.268961i
\(219\) −0.709157 2.55415i −0.0479204 0.172594i
\(220\) −12.4062 11.7518i −0.836428 0.792307i
\(221\) −8.04683 20.1960i −0.541288 1.35853i
\(222\) −11.5374 + 3.88739i −0.774337 + 0.260905i
\(223\) −18.1843 + 1.97766i −1.21771 + 0.132434i −0.694324 0.719663i \(-0.744296\pi\)
−0.523384 + 0.852097i \(0.675331\pi\)
\(224\) 13.8151 + 6.39153i 0.923058 + 0.427052i
\(225\) 0.867737 0.821964i 0.0578491 0.0547976i
\(226\) 21.1524 + 12.7270i 1.40704 + 0.846587i
\(227\) 21.9094 + 2.38279i 1.45418 + 0.158152i 0.800824 0.598899i \(-0.204395\pi\)
0.653356 + 0.757051i \(0.273361\pi\)
\(228\) −3.50047 + 0.770512i −0.231824 + 0.0510284i
\(229\) 3.46794 12.4904i 0.229168 0.825389i −0.756112 0.654442i \(-0.772904\pi\)
0.985280 0.170947i \(-0.0546827\pi\)
\(230\) 26.5335 15.9647i 1.74957 1.05268i
\(231\) 13.1144 6.06735i 0.862861 0.399202i
\(232\) 2.33961 5.87199i 0.153603 0.385515i
\(233\) −0.974957 + 17.9820i −0.0638716 + 1.17804i 0.774366 + 0.632737i \(0.218069\pi\)
−0.838238 + 0.545304i \(0.816414\pi\)
\(234\) 4.71141 + 6.94880i 0.307994 + 0.454257i
\(235\) −7.11587 −0.464188
\(236\) 8.65564 6.18501i 0.563434 0.402610i
\(237\) −6.30431 −0.409509
\(238\) 11.2371 + 16.5735i 0.728393 + 1.07430i
\(239\) 0.151799 2.79977i 0.00981909 0.181102i −0.989510 0.144467i \(-0.953853\pi\)
0.999329 0.0366353i \(-0.0116640\pi\)
\(240\) 3.50291 8.79163i 0.226112 0.567497i
\(241\) −6.31682 + 2.92247i −0.406902 + 0.188253i −0.612654 0.790351i \(-0.709898\pi\)
0.205752 + 0.978604i \(0.434036\pi\)
\(242\) 45.7363 27.5186i 2.94004 1.76896i
\(243\) 0.267528 0.963550i 0.0171620 0.0618118i
\(244\) 2.73358 0.601707i 0.175000 0.0385204i
\(245\) 3.45470 + 0.375721i 0.220712 + 0.0240039i
\(246\) 16.8404 + 10.1326i 1.07371 + 0.646028i
\(247\) 8.57334 8.12110i 0.545508 0.516733i
\(248\) −2.22306 1.02850i −0.141164 0.0653096i
\(249\) 5.12102 0.556945i 0.324532 0.0352949i
\(250\) −21.0693 + 7.09908i −1.33254 + 0.448985i
\(251\) −10.0366 25.1901i −0.633507 1.58998i −0.797364 0.603499i \(-0.793773\pi\)
0.163856 0.986484i \(-0.447607\pi\)
\(252\) −2.29696 2.17579i −0.144695 0.137062i
\(253\) 14.6018 + 52.5910i 0.918008 + 3.30637i
\(254\) 7.82226 + 14.7543i 0.490812 + 0.925770i
\(255\) 7.39818 5.62395i 0.463292 0.352185i
\(256\) 1.13579 + 20.9484i 0.0709867 + 1.30927i
\(257\) 10.0553 + 3.38804i 0.627235 + 0.211340i 0.614927 0.788584i \(-0.289185\pi\)
0.0123084 + 0.999924i \(0.496082\pi\)
\(258\) −9.71857 2.13922i −0.605052 0.133182i
\(259\) −7.08066 + 13.3555i −0.439971 + 0.829872i
\(260\) −1.99437 12.1651i −0.123686 0.754449i
\(261\) −3.61648 + 4.25765i −0.223855 + 0.263542i
\(262\) 2.23328 + 2.62922i 0.137973 + 0.162434i
\(263\) −2.02635 + 12.3602i −0.124950 + 0.762161i 0.847802 + 0.530313i \(0.177925\pi\)
−0.972752 + 0.231848i \(0.925523\pi\)
\(264\) 5.69790 + 4.33143i 0.350681 + 0.266581i
\(265\) 10.0780 14.8640i 0.619087 0.913085i
\(266\) −6.10393 + 9.00262i −0.374256 + 0.551986i
\(267\) 3.18574 + 2.42173i 0.194964 + 0.148208i
\(268\) −1.16975 + 7.13515i −0.0714538 + 0.435849i
\(269\) −11.1090 13.0785i −0.677329 0.797413i 0.310892 0.950445i \(-0.399372\pi\)
−0.988221 + 0.153032i \(0.951096\pi\)
\(270\) −2.32331 + 2.73521i −0.141392 + 0.166459i
\(271\) −0.0246477 0.150344i −0.00149724 0.00913277i 0.986067 0.166347i \(-0.0531971\pi\)
−0.987565 + 0.157214i \(0.949749\pi\)
\(272\) −10.8274 + 20.4226i −0.656506 + 1.23830i
\(273\) 10.1803 + 2.24085i 0.616139 + 0.135622i
\(274\) −15.8057 5.32557i −0.954860 0.321730i
\(275\) −0.409315 7.54937i −0.0246826 0.455244i
\(276\) 9.51383 7.23223i 0.572665 0.435329i
\(277\) 7.36004 + 13.8825i 0.442222 + 0.834120i 0.999991 + 0.00412349i \(0.00131255\pi\)
−0.557769 + 0.829996i \(0.688343\pi\)
\(278\) −5.89669 21.2379i −0.353660 1.27377i
\(279\) 1.57161 + 1.48871i 0.0940899 + 0.0891267i
\(280\) −1.86619 4.68378i −0.111526 0.279909i
\(281\) −9.23108 + 3.11031i −0.550680 + 0.185546i −0.580867 0.813998i \(-0.697286\pi\)
0.0301867 + 0.999544i \(0.490390\pi\)
\(282\) −6.67252 + 0.725680i −0.397343 + 0.0432136i
\(283\) 6.63187 + 3.06823i 0.394223 + 0.182387i 0.606978 0.794718i \(-0.292381\pi\)
−0.212755 + 0.977106i \(0.568244\pi\)
\(284\) −1.06368 + 1.00757i −0.0631177 + 0.0597883i
\(285\) 4.32538 + 2.60250i 0.256214 + 0.154159i
\(286\) 52.7938 + 5.74168i 3.12176 + 0.339512i
\(287\) 23.8321 5.24584i 1.40676 0.309652i
\(288\) 1.78266 6.42058i 0.105045 0.378336i
\(289\) −4.88267 + 2.93781i −0.287216 + 0.172812i
\(290\) 18.1948 8.41783i 1.06844 0.494312i
\(291\) 1.39664 3.50531i 0.0818726 0.205485i
\(292\) −0.198761 + 3.66593i −0.0116316 + 0.214532i
\(293\) 9.51732 + 14.0370i 0.556007 + 0.820050i 0.996995 0.0774634i \(-0.0246821\pi\)
−0.440988 + 0.897513i \(0.645372\pi\)
\(294\) 3.27777 0.191163
\(295\) −14.8405 2.05930i −0.864047 0.119897i
\(296\) −7.48748 −0.435201
\(297\) −3.54978 5.23553i −0.205979 0.303796i
\(298\) 1.17425 21.6578i 0.0680225 1.25460i
\(299\) −14.5737 + 36.5773i −0.842821 + 2.11532i
\(300\) −1.50240 + 0.695084i −0.0867411 + 0.0401307i
\(301\) −10.5871 + 6.37004i −0.610230 + 0.367163i
\(302\) 7.32448 26.3804i 0.421476 1.51802i
\(303\) 6.58526 1.44953i 0.378313 0.0832731i
\(304\) −12.4825 1.35755i −0.715918 0.0778607i
\(305\) −3.37777 2.03234i −0.193411 0.116371i
\(306\) 6.36371 6.02802i 0.363789 0.344599i
\(307\) −12.5019 5.78400i −0.713522 0.330111i 0.0293264 0.999570i \(-0.490664\pi\)
−0.742849 + 0.669459i \(0.766526\pi\)
\(308\) −19.8957 + 2.16379i −1.13366 + 0.123293i
\(309\) −9.83569 + 3.31403i −0.559533 + 0.188529i
\(310\) −2.87553 7.21704i −0.163319 0.409900i
\(311\) 2.42819 + 2.30011i 0.137690 + 0.130427i 0.753446 0.657510i \(-0.228390\pi\)
−0.615755 + 0.787937i \(0.711149\pi\)
\(312\) 1.38131 + 4.97503i 0.0782012 + 0.281655i
\(313\) −3.70745 6.99300i −0.209558 0.395268i 0.756345 0.654173i \(-0.226983\pi\)
−0.965903 + 0.258905i \(0.916638\pi\)
\(314\) −20.5988 + 15.6588i −1.16246 + 0.883675i
\(315\) 0.241237 + 4.44935i 0.0135922 + 0.250693i
\(316\) 8.27437 + 2.78796i 0.465470 + 0.156835i
\(317\) −15.1429 3.33321i −0.850511 0.187212i −0.231735 0.972779i \(-0.574440\pi\)
−0.618776 + 0.785567i \(0.712371\pi\)
\(318\) 7.93427 14.9656i 0.444932 0.839231i
\(319\) 5.71672 + 34.8704i 0.320075 + 1.95237i
\(320\) −3.22781 + 3.80007i −0.180440 + 0.212431i
\(321\) 0.772541 + 0.909506i 0.0431190 + 0.0507637i
\(322\) 5.86709 35.7877i 0.326960 1.99437i
\(323\) −9.81552 7.46156i −0.546150 0.415173i
\(324\) −0.777242 + 1.14635i −0.0431801 + 0.0636859i
\(325\) 3.06073 4.51425i 0.169779 0.250405i
\(326\) 9.43273 + 7.17058i 0.522431 + 0.397142i
\(327\) −0.395235 + 2.41083i −0.0218566 + 0.133319i
\(328\) 7.82504 + 9.21235i 0.432066 + 0.508667i
\(329\) −5.39508 + 6.35158i −0.297441 + 0.350174i
\(330\) 3.67254 + 22.4015i 0.202167 + 1.23316i
\(331\) 4.22288 7.96520i 0.232110 0.437807i −0.739909 0.672707i \(-0.765131\pi\)
0.972020 + 0.234900i \(0.0754763\pi\)
\(332\) −6.96762 1.53369i −0.382398 0.0841721i
\(333\) 6.27087 + 2.11290i 0.343641 + 0.115786i
\(334\) 0.640032 + 11.8047i 0.0350210 + 0.645924i
\(335\) 8.10665 6.16252i 0.442914 0.336694i
\(336\) −5.19154 9.79228i −0.283222 0.534213i
\(337\) −4.92136 17.7252i −0.268084 0.965551i −0.967922 0.251250i \(-0.919159\pi\)
0.699839 0.714301i \(-0.253255\pi\)
\(338\) 10.4483 + 9.89713i 0.568311 + 0.538333i
\(339\) −4.96634 12.4646i −0.269735 0.676983i
\(340\) −12.1972 + 4.10970i −0.661484 + 0.222880i
\(341\) 13.6129 1.48050i 0.737181 0.0801733i
\(342\) 4.32130 + 1.99924i 0.233669 + 0.108107i
\(343\) 14.5638 13.7956i 0.786373 0.744893i
\(344\) −5.24401 3.15521i −0.282738 0.170118i
\(345\) −16.7322 1.81974i −0.900833 0.0979715i
\(346\) −24.3328 + 5.35607i −1.30814 + 0.287944i
\(347\) −4.90540 + 17.6677i −0.263336 + 0.948450i 0.707105 + 0.707109i \(0.250001\pi\)
−0.970440 + 0.241341i \(0.922413\pi\)
\(348\) 6.62948 3.98883i 0.355378 0.213824i
\(349\) −24.8015 + 11.4744i −1.32759 + 0.614210i −0.950141 0.311820i \(-0.899061\pi\)
−0.377451 + 0.926029i \(0.623199\pi\)
\(350\) −1.85938 + 4.66669i −0.0993879 + 0.249445i
\(351\) 0.247043 4.55645i 0.0131862 0.243205i
\(352\) −23.6538 34.8868i −1.26075 1.85947i
\(353\) −13.9798 −0.744068 −0.372034 0.928219i \(-0.621339\pi\)
−0.372034 + 0.928219i \(0.621339\pi\)
\(354\) −14.1259 0.417551i −0.750782 0.0221926i
\(355\) 2.06344 0.109516
\(356\) −3.11030 4.58735i −0.164845 0.243129i
\(357\) 0.589220 10.8675i 0.0311848 0.575170i
\(358\) −13.6117 + 34.1629i −0.719403 + 1.80557i
\(359\) −2.20849 + 1.02175i −0.116559 + 0.0539261i −0.477302 0.878739i \(-0.658385\pi\)
0.360743 + 0.932665i \(0.382523\pi\)
\(360\) −1.89117 + 1.13788i −0.0996732 + 0.0599713i
\(361\) −3.29130 + 11.8542i −0.173226 + 0.623905i
\(362\) 27.6609 6.08862i 1.45382 0.320011i
\(363\) −28.8417 3.13672i −1.51380 0.164635i
\(364\) −12.3706 7.44315i −0.648396 0.390127i
\(365\) 3.75379 3.55578i 0.196483 0.186118i
\(366\) −3.37458 1.56125i −0.176392 0.0816077i
\(367\) −5.18023 + 0.563384i −0.270406 + 0.0294084i −0.242317 0.970197i \(-0.577908\pi\)
−0.0280886 + 0.999605i \(0.508942\pi\)
\(368\) 39.6729 13.3673i 2.06809 0.696821i
\(369\) −3.95394 9.92363i −0.205834 0.516604i
\(370\) −17.2407 16.3313i −0.896301 0.849022i
\(371\) −5.62657 20.2651i −0.292117 1.05211i
\(372\) −1.40438 2.64894i −0.0728137 0.137341i
\(373\) 5.06024 3.84670i 0.262009 0.199174i −0.465919 0.884827i \(-0.654276\pi\)
0.727929 + 0.685653i \(0.240483\pi\)
\(374\) −3.00178 55.3646i −0.155219 2.86284i
\(375\) 11.4517 + 3.85854i 0.591365 + 0.199254i
\(376\) −4.03132 0.887361i −0.207899 0.0457621i
\(377\) −11.9402 + 22.5216i −0.614951 + 1.15992i
\(378\) 0.679954 + 4.14754i 0.0349731 + 0.213326i
\(379\) −17.5166 + 20.6221i −0.899766 + 1.05929i 0.0981762 + 0.995169i \(0.468699\pi\)
−0.997942 + 0.0641175i \(0.979577\pi\)
\(380\) −4.52614 5.32858i −0.232186 0.273351i
\(381\) 1.46845 8.95714i 0.0752309 0.458888i
\(382\) −12.5713 9.55649i −0.643206 0.488952i
\(383\) −18.4120 + 27.1557i −0.940809 + 1.38759i −0.0190536 + 0.999818i \(0.506065\pi\)
−0.921756 + 0.387771i \(0.873245\pi\)
\(384\) 4.83973 7.13806i 0.246976 0.364263i
\(385\) 22.4384 + 17.0572i 1.14357 + 0.869317i
\(386\) −7.36737 + 44.9389i −0.374989 + 2.28733i
\(387\) 3.50156 + 4.12235i 0.177994 + 0.209551i
\(388\) −3.38324 + 3.98306i −0.171758 + 0.202209i
\(389\) 1.28977 + 7.86725i 0.0653940 + 0.398885i 0.999159 + 0.0409993i \(0.0130541\pi\)
−0.933765 + 0.357886i \(0.883498\pi\)
\(390\) −7.67063 + 14.4684i −0.388418 + 0.732633i
\(391\) 40.1482 + 8.83729i 2.03038 + 0.446921i
\(392\) 1.91032 + 0.643662i 0.0964857 + 0.0325098i
\(393\) −0.101510 1.87225i −0.00512052 0.0944425i
\(394\) 27.0174 20.5381i 1.36112 1.03470i
\(395\) −5.76004 10.8646i −0.289819 0.546657i
\(396\) 2.34375 + 8.44144i 0.117778 + 0.424198i
\(397\) −21.8487 20.6962i −1.09655 1.03871i −0.999054 0.0434762i \(-0.986157\pi\)
−0.0975001 0.995236i \(-0.531085\pi\)
\(398\) 11.7637 + 29.5246i 0.589661 + 1.47994i
\(399\) 5.60238 1.88766i 0.280470 0.0945012i
\(400\) −5.76503 + 0.626985i −0.288252 + 0.0313493i
\(401\) 2.27318 + 1.05169i 0.113517 + 0.0525187i 0.475826 0.879539i \(-0.342149\pi\)
−0.362308 + 0.932058i \(0.618011\pi\)
\(402\) 6.97312 6.60529i 0.347788 0.329442i
\(403\) 8.46415 + 5.09271i 0.421629 + 0.253686i
\(404\) −9.28415 1.00971i −0.461904 0.0502351i
\(405\) 1.90498 0.419317i 0.0946590 0.0208360i
\(406\) 6.28119 22.6228i 0.311730 1.12275i
\(407\) 35.8658 21.5797i 1.77780 1.06967i
\(408\) 4.89257 2.26354i 0.242218 0.112062i
\(409\) 0.0721648 0.181120i 0.00356832 0.00895580i −0.927182 0.374612i \(-0.877776\pi\)
0.930750 + 0.365656i \(0.119155\pi\)
\(410\) −2.07548 + 38.2799i −0.102501 + 1.89051i
\(411\) 5.08738 + 7.50332i 0.250942 + 0.370112i
\(412\) 14.3749 0.708199
\(413\) −13.0898 + 11.6852i −0.644108 + 0.574993i
\(414\) −15.8753 −0.780229
\(415\) 5.63873 + 8.31651i 0.276794 + 0.408241i
\(416\) 1.64616 30.3617i 0.0807098 1.48861i
\(417\) −4.43428 + 11.1292i −0.217148 + 0.544999i
\(418\) 27.3343 12.6462i 1.33696 0.618545i
\(419\) −20.8387 + 12.5383i −1.01804 + 0.612534i −0.923744 0.383011i \(-0.874887\pi\)
−0.0942949 + 0.995544i \(0.530060\pi\)
\(420\) 1.65102 5.94644i 0.0805616 0.290156i
\(421\) 3.45238 0.759926i 0.168259 0.0370365i −0.130042 0.991508i \(-0.541511\pi\)
0.298301 + 0.954472i \(0.403580\pi\)
\(422\) −15.0911 1.64126i −0.734624 0.0798952i
\(423\) 3.12588 + 1.88078i 0.151986 + 0.0914467i
\(424\) 7.56301 7.16406i 0.367292 0.347918i
\(425\) −5.16814 2.39104i −0.250692 0.115982i
\(426\) 1.93488 0.210431i 0.0937452 0.0101954i
\(427\) −4.37500 + 1.47411i −0.211721 + 0.0713372i
\(428\) −0.611745 1.53536i −0.0295698 0.0742146i
\(429\) −20.9552 19.8498i −1.01173 0.958357i
\(430\) −5.19290 18.7031i −0.250424 0.901946i
\(431\) −2.63010 4.96090i −0.126688 0.238958i 0.812052 0.583585i \(-0.198350\pi\)
−0.938740 + 0.344627i \(0.888006\pi\)
\(432\) −3.86247 + 2.93617i −0.185833 + 0.141267i
\(433\) −1.81729 33.5179i −0.0873333 1.61077i −0.633943 0.773380i \(-0.718565\pi\)
0.546609 0.837388i \(-0.315918\pi\)
\(434\) −8.62204 2.90510i −0.413871 0.139449i
\(435\) −10.6417 2.34242i −0.510232 0.112311i
\(436\) 1.58489 2.98942i 0.0759024 0.143167i
\(437\) 3.61265 + 22.0362i 0.172816 + 1.05413i
\(438\) 3.15730 3.71706i 0.150861 0.177608i
\(439\) 2.30366 + 2.71208i 0.109948 + 0.129440i 0.814383 0.580328i \(-0.197076\pi\)
−0.704435 + 0.709768i \(0.748800\pi\)
\(440\) −2.25863 + 13.7770i −0.107676 + 0.656794i
\(441\) −1.41828 1.07815i −0.0675374 0.0513406i
\(442\) 22.4464 33.1060i 1.06767 1.57469i
\(443\) 18.5379 27.3414i 0.880763 1.29903i −0.0726489 0.997358i \(-0.523145\pi\)
0.953412 0.301671i \(-0.0975444\pi\)
\(444\) −7.29609 5.54635i −0.346257 0.263218i
\(445\) −1.26282 + 7.70283i −0.0598632 + 0.365149i
\(446\) −21.7867 25.6493i −1.03163 1.21453i
\(447\) −7.63195 + 8.98503i −0.360979 + 0.424977i
\(448\) 0.944673 + 5.76225i 0.0446316 + 0.272241i
\(449\) 2.30348 4.34482i 0.108708 0.205045i −0.823190 0.567766i \(-0.807808\pi\)
0.931897 + 0.362722i \(0.118152\pi\)
\(450\) 2.14763 + 0.472729i 0.101240 + 0.0222846i
\(451\) −64.0338 21.5755i −3.01523 1.01595i
\(452\) 1.00608 + 18.5560i 0.0473218 + 0.872800i
\(453\) −11.8465 + 9.00551i −0.556599 + 0.423116i
\(454\) 18.9928 + 35.8242i 0.891375 + 1.68131i
\(455\) 5.43961 + 19.5917i 0.255013 + 0.918473i
\(456\) 2.12590 + 2.01376i 0.0995545 + 0.0943031i
\(457\) −4.94014 12.3988i −0.231090 0.579992i 0.767008 0.641637i \(-0.221745\pi\)
−0.998098 + 0.0616453i \(0.980365\pi\)
\(458\) 22.6012 7.61522i 1.05608 0.355836i
\(459\) −4.73635 + 0.515109i −0.221074 + 0.0240432i
\(460\) 21.1562 + 9.78791i 0.986414 + 0.456364i
\(461\) 3.24505 3.07388i 0.151137 0.143165i −0.608395 0.793634i \(-0.708186\pi\)
0.759532 + 0.650469i \(0.225428\pi\)
\(462\) 22.7799 + 13.7062i 1.05982 + 0.637671i
\(463\) 15.4848 + 1.68407i 0.719639 + 0.0782655i 0.460608 0.887604i \(-0.347631\pi\)
0.259031 + 0.965869i \(0.416597\pi\)
\(464\) 26.4697 5.82643i 1.22883 0.270485i
\(465\) −1.12965 + 4.06864i −0.0523864 + 0.188679i
\(466\) −28.3899 + 17.0816i −1.31514 + 0.791291i
\(467\) −3.95233 + 1.82854i −0.182892 + 0.0846149i −0.509198 0.860649i \(-0.670058\pi\)
0.326306 + 0.945264i \(0.394196\pi\)
\(468\) −2.33925 + 5.87107i −0.108132 + 0.271390i
\(469\) 0.645645 11.9082i 0.0298131 0.549871i
\(470\) −7.34708 10.8361i −0.338895 0.499833i
\(471\) 14.0637 0.648019
\(472\) −8.15072 3.01728i −0.375167 0.138881i
\(473\) 34.2130 1.57312
\(474\) −6.50915 9.60027i −0.298975 0.440955i
\(475\) 0.167462 3.08865i 0.00768368 0.141717i
\(476\) −5.57930 + 14.0030i −0.255727 + 0.641826i
\(477\) −8.35576 + 3.86579i −0.382584 + 0.177002i
\(478\) 4.42026 2.65958i 0.202178 0.121647i
\(479\) −4.17017 + 15.0196i −0.190540 + 0.686262i 0.805113 + 0.593121i \(0.202105\pi\)
−0.995653 + 0.0931409i \(0.970309\pi\)
\(480\) 12.6937 2.79410i 0.579387 0.127533i
\(481\) 30.0185 + 3.26471i 1.36872 + 0.148858i
\(482\) −10.9724 6.60190i −0.499781 0.300708i
\(483\) −14.3103 + 13.5554i −0.651140 + 0.616792i
\(484\) 36.4674 + 16.8716i 1.65761 + 0.766892i
\(485\) 7.31698 0.795769i 0.332247 0.0361340i
\(486\) 1.74353 0.587462i 0.0790880 0.0266478i
\(487\) −4.21052 10.5676i −0.190797 0.478864i 0.802193 0.597065i \(-0.203667\pi\)
−0.992990 + 0.118201i \(0.962287\pi\)
\(488\) −1.66016 1.57259i −0.0751518 0.0711876i
\(489\) −1.72292 6.20539i −0.0779130 0.280617i
\(490\) 2.99479 + 5.64878i 0.135291 + 0.255186i
\(491\) 28.4703 21.6425i 1.28485 0.976714i 0.285011 0.958524i \(-0.408003\pi\)
0.999835 0.0181896i \(-0.00579025\pi\)
\(492\) 0.800984 + 14.7733i 0.0361111 + 0.666031i
\(493\) 25.2214 + 8.49808i 1.13592 + 0.382734i
\(494\) 21.2188 + 4.67061i 0.954679 + 0.210141i
\(495\) 5.77939 10.9011i 0.259764 0.489968i
\(496\) −1.69919 10.3646i −0.0762960 0.465385i
\(497\) 1.56445 1.84181i 0.0701752 0.0826167i
\(498\) 6.13554 + 7.22331i 0.274940 + 0.323684i
\(499\) −5.18241 + 31.6113i −0.231996 + 1.41512i 0.571889 + 0.820331i \(0.306211\pi\)
−0.803885 + 0.594784i \(0.797237\pi\)
\(500\) −13.3240 10.1286i −0.595867 0.452966i
\(501\) 3.60596 5.31839i 0.161102 0.237608i
\(502\) 27.9970 41.2925i 1.24957 1.84297i
\(503\) 16.0075 + 12.1686i 0.713741 + 0.542572i 0.897832 0.440337i \(-0.145141\pi\)
−0.184091 + 0.982909i \(0.558934\pi\)
\(504\) −0.418175 + 2.55075i −0.0186270 + 0.113620i
\(505\) 8.51480 + 10.0244i 0.378904 + 0.446080i
\(506\) −65.0099 + 76.5356i −2.89004 + 3.40242i
\(507\) −1.26550 7.71920i −0.0562028 0.342822i
\(508\) −5.88846 + 11.1068i −0.261258 + 0.492785i
\(509\) 25.1680 + 5.53991i 1.11555 + 0.245552i 0.734238 0.678893i \(-0.237540\pi\)
0.381316 + 0.924445i \(0.375471\pi\)
\(510\) 16.2028 + 5.45935i 0.717471 + 0.241744i
\(511\) −0.327833 6.04653i −0.0145025 0.267483i
\(512\) −16.9966 + 12.9205i −0.751150 + 0.571009i
\(513\) −1.21221 2.28647i −0.0535203 0.100950i
\(514\) 5.22272 + 18.8105i 0.230364 + 0.829697i
\(515\) −14.6978 13.9225i −0.647664 0.613500i
\(516\) −2.77274 6.95906i −0.122063 0.306356i
\(517\) 21.8679 7.36816i 0.961750 0.324051i
\(518\) −27.6487 + 3.00698i −1.21481 + 0.132119i
\(519\) 12.2905 + 5.68621i 0.539495 + 0.249597i
\(520\) −7.31171 + 6.92602i −0.320640 + 0.303726i
\(521\) −14.3649 8.64306i −0.629337 0.378659i 0.164863 0.986317i \(-0.447282\pi\)
−0.794199 + 0.607657i \(0.792110\pi\)
\(522\) −10.2176 1.11123i −0.447212 0.0486372i
\(523\) −33.7853 + 7.43671i −1.47733 + 0.325185i −0.879292 0.476284i \(-0.841983\pi\)
−0.598037 + 0.801468i \(0.704052\pi\)
\(524\) −0.694735 + 2.50221i −0.0303497 + 0.109310i
\(525\) 2.33955 1.40766i 0.102107 0.0614355i
\(526\) −20.9144 + 9.67603i −0.911911 + 0.421895i
\(527\) 3.81744 9.58105i 0.166290 0.417357i
\(528\) −1.66151 + 30.6448i −0.0723081 + 1.33365i
\(529\) −28.8752 42.5877i −1.25544 1.85164i
\(530\) 33.0405 1.43519
\(531\) 5.97489 + 4.82708i 0.259288 + 0.209477i
\(532\) −8.18787 −0.354989
\(533\) −27.3550 40.3457i −1.18488 1.74756i
\(534\) −0.398597 + 7.35170i −0.0172490 + 0.318139i
\(535\) −0.861561 + 2.16235i −0.0372485 + 0.0934867i
\(536\) 5.36110 2.48031i 0.231564 0.107133i
\(537\) 17.1269 10.3049i 0.739081 0.444690i
\(538\) 8.44619 30.4204i 0.364141 1.31152i
\(539\) −11.0057 + 2.42255i −0.474051 + 0.104346i
\(540\) −2.68571 0.292088i −0.115574 0.0125695i
\(541\) −1.27752 0.768658i −0.0549249 0.0330472i 0.487827 0.872941i \(-0.337790\pi\)
−0.542751 + 0.839893i \(0.682617\pi\)
\(542\) 0.203498 0.192763i 0.00874097 0.00827989i
\(543\) −13.9715 6.46392i −0.599576 0.277393i
\(544\) −31.5605 + 3.43241i −1.35314 + 0.147163i
\(545\) −4.51584 + 1.52156i −0.193437 + 0.0651766i
\(546\) 7.09867 + 17.8163i 0.303795 + 0.762468i
\(547\) 21.5262 + 20.3907i 0.920396 + 0.871845i 0.992083 0.125582i \(-0.0400799\pi\)
−0.0716877 + 0.997427i \(0.522838\pi\)
\(548\) −3.35896 12.0979i −0.143488 0.516796i
\(549\) 0.946636 + 1.78554i 0.0404014 + 0.0762052i
\(550\) 11.0737 8.41797i 0.472182 0.358944i
\(551\) 0.782681 + 14.4357i 0.0333433 + 0.614981i
\(552\) −9.25231 3.11746i −0.393804 0.132688i
\(553\) −14.0648 3.09590i −0.598096 0.131651i
\(554\) −13.5413 + 25.5415i −0.575314 + 1.08516i
\(555\) 2.08820 + 12.7375i 0.0886392 + 0.540675i
\(556\) 10.7417 12.6461i 0.455548 0.536312i
\(557\) −23.2072 27.3216i −0.983319 1.15765i −0.987493 0.157662i \(-0.949605\pi\)
0.00417406 0.999991i \(-0.498671\pi\)
\(558\) −0.644348 + 3.93035i −0.0272774 + 0.166385i
\(559\) 19.6483 + 14.9363i 0.831035 + 0.631736i
\(560\) 12.1323 17.8938i 0.512683 0.756151i
\(561\) −16.9121 + 24.9435i −0.714031 + 1.05312i
\(562\) −14.2674 10.8458i −0.601836 0.457504i
\(563\) −1.44557 + 8.81758i −0.0609234 + 0.371617i 0.938714 + 0.344697i \(0.112018\pi\)
−0.999638 + 0.0269199i \(0.991430\pi\)
\(564\) −3.27097 3.85088i −0.137733 0.162151i
\(565\) 16.9434 19.9473i 0.712813 0.839189i
\(566\) 2.17501 + 13.2670i 0.0914227 + 0.557654i
\(567\) 1.07003 2.01829i 0.0449370 0.0847601i
\(568\) 1.16899 + 0.257314i 0.0490498 + 0.0107967i
\(569\) 27.7547 + 9.35165i 1.16354 + 0.392042i 0.833819 0.552038i \(-0.186150\pi\)
0.329719 + 0.944079i \(0.393046\pi\)
\(570\) 0.502811 + 9.27380i 0.0210604 + 0.388437i
\(571\) −20.8881 + 15.8787i −0.874140 + 0.664504i −0.942881 0.333130i \(-0.891895\pi\)
0.0687404 + 0.997635i \(0.478102\pi\)
\(572\) 18.7254 + 35.3198i 0.782947 + 1.47680i
\(573\) 2.29619 + 8.27014i 0.0959249 + 0.345490i
\(574\) 32.5949 + 30.8755i 1.36048 + 1.28872i
\(575\) 3.81734 + 9.58081i 0.159194 + 0.399548i
\(576\) 2.42231 0.816172i 0.100930 0.0340072i
\(577\) 33.3317 3.62504i 1.38762 0.150912i 0.616374 0.787454i \(-0.288601\pi\)
0.771243 + 0.636541i \(0.219635\pi\)
\(578\) −9.51505 4.40213i −0.395774 0.183105i
\(579\) 17.9695 17.0217i 0.746789 0.707396i
\(580\) 12.9313 + 7.78053i 0.536945 + 0.323069i
\(581\) 11.6984 + 1.27228i 0.485332 + 0.0527831i
\(582\) 6.77994 1.49238i 0.281038 0.0618611i
\(583\) −15.5800 + 56.1140i −0.645257 + 2.32401i
\(584\) 2.57003 1.54634i 0.106349 0.0639879i
\(585\) 8.07812 3.73734i 0.333989 0.154520i
\(586\) −11.5491 + 28.9862i −0.477091 + 1.19741i
\(587\) −1.73671 + 32.0317i −0.0716817 + 1.32209i 0.712549 + 0.701622i \(0.247541\pi\)
−0.784231 + 0.620469i \(0.786942\pi\)
\(588\) 1.38470 + 2.04228i 0.0571041 + 0.0842222i
\(589\) 5.60226 0.230837
\(590\) −12.1868 24.7255i −0.501722 1.01793i
\(591\) −18.4460 −0.758766
\(592\) −18.0172 26.5734i −0.740502 1.09216i
\(593\) 1.27040 23.4311i 0.0521689 0.962199i −0.848908 0.528540i \(-0.822740\pi\)
0.901077 0.433659i \(-0.142778\pi\)
\(594\) 4.30761 10.8113i 0.176743 0.443593i
\(595\) 19.2670 8.91386i 0.789870 0.365433i
\(596\) 13.9904 8.41772i 0.573068 0.344803i
\(597\) 4.62137 16.6447i 0.189140 0.681221i
\(598\) −70.7476 + 15.5727i −2.89309 + 0.636816i
\(599\) −27.7959 3.02298i −1.13571 0.123516i −0.479109 0.877755i \(-0.659040\pi\)
−0.656599 + 0.754240i \(0.728006\pi\)
\(600\) 1.15883 + 0.697245i 0.0473091 + 0.0284649i
\(601\) 20.0059 18.9506i 0.816056 0.773009i −0.160782 0.986990i \(-0.551402\pi\)
0.976838 + 0.213981i \(0.0686429\pi\)
\(602\) −20.6315 9.54513i −0.840875 0.389030i
\(603\) −5.18992 + 0.564438i −0.211350 + 0.0229857i
\(604\) 19.5310 6.58078i 0.794707 0.267768i
\(605\) −20.9460 52.5705i −0.851577 2.13730i
\(606\) 9.00658 + 8.53149i 0.365867 + 0.346568i
\(607\) 3.01961 + 10.8757i 0.122562 + 0.441430i 0.999212 0.0397003i \(-0.0126403\pi\)
−0.876649 + 0.481130i \(0.840227\pi\)
\(608\) −8.07750 15.2358i −0.327586 0.617892i
\(609\) −10.1591 + 7.72278i −0.411669 + 0.312943i
\(610\) −0.392655 7.24209i −0.0158981 0.293224i
\(611\) 15.7753 + 5.31531i 0.638200 + 0.215035i
\(612\) 6.44424 + 1.41848i 0.260493 + 0.0573388i
\(613\) 19.8623 37.4643i 0.802232 1.51317i −0.0551437 0.998478i \(-0.517562\pi\)
0.857376 0.514691i \(-0.172093\pi\)
\(614\) −4.10018 25.0100i −0.165470 1.00932i
\(615\) 13.4894 15.8810i 0.543946 0.640382i
\(616\) 10.5849 + 12.4615i 0.426476 + 0.502086i
\(617\) 4.69296 28.6258i 0.188931 1.15243i −0.706660 0.707553i \(-0.749799\pi\)
0.895591 0.444878i \(-0.146753\pi\)
\(618\) −15.2019 11.5562i −0.611511 0.464859i
\(619\) −16.9828 + 25.0478i −0.682597 + 1.00676i 0.315725 + 0.948851i \(0.397752\pi\)
−0.998322 + 0.0579051i \(0.981558\pi\)
\(620\) 3.28194 4.84050i 0.131806 0.194399i
\(621\) 6.86922 + 5.22184i 0.275652 + 0.209545i
\(622\) −0.995540 + 6.07253i −0.0399175 + 0.243486i
\(623\) 5.91807 + 6.96729i 0.237102 + 0.279138i
\(624\) −14.3327 + 16.8738i −0.573767 + 0.675491i
\(625\) 2.84659 + 17.3634i 0.113864 + 0.694537i
\(626\) 6.82111 12.8660i 0.272626 0.514228i
\(627\) −15.9872 3.51904i −0.638466 0.140537i
\(628\) −18.4585 6.21939i −0.736574 0.248181i
\(629\) −1.70681 31.4802i −0.0680549 1.25520i
\(630\) −6.52645 + 4.96128i −0.260020 + 0.197662i
\(631\) −3.82563 7.21590i −0.152296 0.287260i 0.795611 0.605808i \(-0.207150\pi\)
−0.947907 + 0.318547i \(0.896805\pi\)
\(632\) −1.90838 6.87336i −0.0759112 0.273407i
\(633\) 5.99004 + 5.67407i 0.238083 + 0.225524i
\(634\) −10.5591 26.5013i −0.419355 1.05250i
\(635\) 16.7781 5.65318i 0.665817 0.224340i
\(636\) 12.6765 1.37865i 0.502655 0.0546670i
\(637\) −7.37813 3.41348i −0.292332 0.135247i
\(638\) −47.1986 + 44.7089i −1.86861 + 1.77004i
\(639\) −0.906435 0.545384i −0.0358580 0.0215750i
\(640\) 16.7234 + 1.81877i 0.661049 + 0.0718934i
\(641\) −11.2234 + 2.47045i −0.443296 + 0.0975768i −0.431009 0.902348i \(-0.641842\pi\)
−0.0122871 + 0.999925i \(0.503911\pi\)
\(642\) −0.587364 + 2.11549i −0.0231814 + 0.0834918i
\(643\) 1.37083 0.824801i 0.0540603 0.0325270i −0.488267 0.872694i \(-0.662371\pi\)
0.542327 + 0.840167i \(0.317543\pi\)
\(644\) 24.7768 11.4630i 0.976342 0.451704i
\(645\) −3.90504 + 9.80091i −0.153761 + 0.385910i
\(646\) 1.22811 22.6512i 0.0483194 0.891199i
\(647\) 6.48622 + 9.56646i 0.255000 + 0.376096i 0.933544 0.358463i \(-0.116699\pi\)
−0.678544 + 0.734560i \(0.737389\pi\)
\(648\) 1.13151 0.0444498
\(649\) 47.7389 9.03820i 1.87392 0.354780i
\(650\) 10.0345 0.393587
\(651\) 2.77517 + 4.09307i 0.108767 + 0.160420i
\(652\) −0.482895 + 8.90647i −0.0189116 + 0.348804i
\(653\) 6.39409 16.0480i 0.250220 0.628005i −0.749190 0.662355i \(-0.769557\pi\)
0.999410 + 0.0343503i \(0.0109362\pi\)
\(654\) −4.07932 + 1.88729i −0.159514 + 0.0737990i
\(655\) 3.13382 1.88555i 0.122448 0.0736747i
\(656\) −13.8655 + 49.9391i −0.541358 + 1.94980i
\(657\) −2.58880 + 0.569838i −0.100999 + 0.0222315i
\(658\) −15.2426 1.65774i −0.594220 0.0646254i
\(659\) 27.1146 + 16.3143i 1.05624 + 0.635516i 0.934105 0.356998i \(-0.116200\pi\)
0.122131 + 0.992514i \(0.461027\pi\)
\(660\) −12.4062 + 11.7518i −0.482912 + 0.457438i
\(661\) 14.9544 + 6.91866i 0.581660 + 0.269105i 0.688577 0.725163i \(-0.258236\pi\)
−0.106917 + 0.994268i \(0.534098\pi\)
\(662\) 16.4896 1.79335i 0.640886 0.0697005i
\(663\) −20.6020 + 6.94164i −0.800117 + 0.269591i
\(664\) 2.15740 + 5.41467i 0.0837235 + 0.210130i
\(665\) 8.37183 + 7.93022i 0.324646 + 0.307521i
\(666\) 3.25707 + 11.7309i 0.126209 + 0.454563i
\(667\) −22.5783 42.5872i −0.874235 1.64898i
\(668\) −7.08476 + 5.38570i −0.274118 + 0.208379i
\(669\) 0.990281 + 18.2647i 0.0382865 + 0.706153i
\(670\) 17.7544 + 5.98216i 0.685913 + 0.231111i
\(671\) 12.4847 + 2.74809i 0.481966 + 0.106089i
\(672\) 7.13009 13.4488i 0.275049 0.518798i
\(673\) 5.25292 + 32.0414i 0.202485 + 1.23510i 0.870954 + 0.491364i \(0.163502\pi\)
−0.668469 + 0.743740i \(0.733050\pi\)
\(674\) 21.9108 25.7954i 0.843973 0.993601i
\(675\) −0.773780 0.910965i −0.0297828 0.0350630i
\(676\) −1.75271 + 10.6911i −0.0674119 + 0.411194i
\(677\) 7.18091 + 5.45878i 0.275985 + 0.209798i 0.734006 0.679143i \(-0.237648\pi\)
−0.458021 + 0.888941i \(0.651442\pi\)
\(678\) 13.8535 20.4324i 0.532040 0.784701i
\(679\) 4.83726 7.13442i 0.185637 0.273794i
\(680\) 8.37109 + 6.36354i 0.321017 + 0.244031i
\(681\) 3.56545 21.7483i 0.136628 0.833397i
\(682\) 16.3098 + 19.2013i 0.624533 + 0.735257i
\(683\) 14.6972 17.3029i 0.562373 0.662077i −0.405329 0.914171i \(-0.632843\pi\)
0.967703 + 0.252093i \(0.0811190\pi\)
\(684\) 0.579870 + 3.53705i 0.0221719 + 0.135243i
\(685\) −8.28276 + 15.6229i −0.316468 + 0.596922i
\(686\) 36.0452 + 7.93414i 1.37621 + 0.302927i
\(687\) −12.2843 4.13907i −0.468677 0.157916i
\(688\) −1.42072 26.2036i −0.0541644 0.999003i
\(689\) −33.4450 + 25.4242i −1.27415 + 0.968586i
\(690\) −14.5048 27.3589i −0.552187 1.04154i
\(691\) −2.23211 8.03934i −0.0849135 0.305831i 0.908882 0.417053i \(-0.136937\pi\)
−0.993796 + 0.111222i \(0.964523\pi\)
\(692\) −13.6167 12.8984i −0.517627 0.490323i
\(693\) −5.34845 13.4236i −0.203171 0.509920i
\(694\) −31.9693 + 10.7717i −1.21354 + 0.408889i
\(695\) −23.2311 + 2.52653i −0.881206 + 0.0958369i
\(696\) −5.73671 2.65408i −0.217449 0.100603i
\(697\) −36.9485 + 34.9995i −1.39952 + 1.32570i
\(698\) −43.0807 25.9208i −1.63063 0.981116i
\(699\) 17.9029 + 1.94705i 0.677149 + 0.0736444i
\(700\) −3.69317 + 0.812928i −0.139589 + 0.0307258i
\(701\) 8.13817 29.3110i 0.307374 1.10706i −0.635003 0.772510i \(-0.719001\pi\)
0.942377 0.334552i \(-0.108585\pi\)
\(702\) 7.19368 4.32830i 0.271508 0.163361i
\(703\) 15.5422 7.19060i 0.586186 0.271199i
\(704\) 5.98465 15.0203i 0.225555 0.566100i
\(705\) −0.385245 + 7.10543i −0.0145092 + 0.267606i
\(706\) −14.4340 21.2886i −0.543231 0.801205i
\(707\) 15.4034 0.579306
\(708\) −5.70734 8.97780i −0.214495 0.337406i
\(709\) −48.6504 −1.82710 −0.913552 0.406722i \(-0.866672\pi\)
−0.913552 + 0.406722i \(0.866672\pi\)
\(710\) 2.13049 + 3.14223i 0.0799557 + 0.117926i
\(711\) −0.341308 + 6.29506i −0.0128001 + 0.236083i
\(712\) −1.67597 + 4.20638i −0.0628097 + 0.157641i
\(713\) −16.9526 + 7.84312i −0.634881 + 0.293727i
\(714\) 17.1575 10.3234i 0.642105 0.386342i
\(715\) 15.0623 54.2495i 0.563298 2.02882i
\(716\) −27.0362 + 5.95111i −1.01039 + 0.222403i
\(717\) −2.78745 0.303153i −0.104099 0.0113215i
\(718\) −3.83618 2.30816i −0.143165 0.0861396i
\(719\) 19.0331 18.0291i 0.709814 0.672371i −0.245018 0.969519i \(-0.578794\pi\)
0.954832 + 0.297147i \(0.0960353\pi\)
\(720\) −8.58910 3.97374i −0.320097 0.148093i
\(721\) −23.5707 + 2.56347i −0.877819 + 0.0954686i
\(722\) −21.4500 + 7.22733i −0.798284 + 0.268973i
\(723\) 2.57620 + 6.46577i 0.0958099 + 0.240465i
\(724\) 15.4790 + 14.6625i 0.575274 + 0.544928i
\(725\) 1.78627 + 6.43356i 0.0663404 + 0.238936i
\(726\) −25.0022 47.1591i −0.927917 1.75024i
\(727\) −35.0910 + 26.6755i −1.30145 + 0.989339i −0.302103 + 0.953275i \(0.597689\pi\)
−0.999349 + 0.0360635i \(0.988518\pi\)
\(728\) 0.638559 + 11.7775i 0.0236666 + 0.436504i
\(729\) −0.947653 0.319302i −0.0350983 0.0118260i
\(730\) 9.29055 + 2.04501i 0.343859 + 0.0756890i
\(731\) 12.0703 22.7671i 0.446438 0.842071i
\(732\) −0.452832 2.76215i −0.0167371 0.102092i
\(733\) −2.91186 + 3.42810i −0.107552 + 0.126620i −0.813304 0.581839i \(-0.802333\pi\)
0.705752 + 0.708459i \(0.250609\pi\)
\(734\) −6.20648 7.30683i −0.229085 0.269700i
\(735\) 0.562203 3.42929i 0.0207372 0.126491i
\(736\) 45.7728 + 34.7955i 1.68721 + 1.28258i
\(737\) −18.5317 + 27.3322i −0.682624 + 1.00680i
\(738\) 11.0294 16.2672i 0.405998 0.598803i
\(739\) 16.9660 + 12.8972i 0.624104 + 0.474431i 0.868796 0.495169i \(-0.164894\pi\)
−0.244693 + 0.969601i \(0.578687\pi\)
\(740\) 2.89215 17.6413i 0.106317 0.648508i
\(741\) −7.64504 9.00043i −0.280847 0.330639i
\(742\) 25.0505 29.4917i 0.919633 1.08268i
\(743\) 5.13795 + 31.3401i 0.188493 + 1.14976i 0.896332 + 0.443384i \(0.146222\pi\)
−0.707839 + 0.706374i \(0.750330\pi\)
\(744\) −1.14734 + 2.16412i −0.0420636 + 0.0793404i
\(745\) −22.4575 4.94327i −0.822780 0.181108i
\(746\) 11.0825 + 3.73411i 0.405757 + 0.136716i
\(747\) −0.278881 5.14366i −0.0102037 0.188197i
\(748\) 33.2279 25.2592i 1.21493 0.923568i
\(749\) 1.27689 + 2.40847i 0.0466565 + 0.0880036i
\(750\) 5.94799 + 21.4227i 0.217190 + 0.782248i
\(751\) 7.49590 + 7.10049i 0.273529 + 0.259101i 0.812151 0.583447i \(-0.198296\pi\)
−0.538622 + 0.842547i \(0.681055\pi\)
\(752\) −6.55132 16.4426i −0.238902 0.599599i
\(753\) −25.6965 + 8.65816i −0.936433 + 0.315521i
\(754\) −46.6243 + 5.07070i −1.69796 + 0.184664i
\(755\) −26.3435 12.1878i −0.958740 0.443560i
\(756\) −2.29696 + 2.17579i −0.0835395 + 0.0791328i
\(757\) −11.8407 7.12433i −0.430358 0.258938i 0.283853 0.958868i \(-0.408387\pi\)
−0.714212 + 0.699930i \(0.753215\pi\)
\(758\) −49.4893 5.38229i −1.79753 0.195493i
\(759\) 53.3044 11.7332i 1.93483 0.425887i
\(760\) −1.52807 + 5.50361i −0.0554289 + 0.199637i
\(761\) 28.7138 17.2765i 1.04088 0.626274i 0.110876 0.993834i \(-0.464634\pi\)
0.930000 + 0.367560i \(0.119807\pi\)
\(762\) 15.1562 7.01200i 0.549051 0.254018i
\(763\) −2.06566 + 5.18443i −0.0747821 + 0.187689i
\(764\) 0.643571 11.8700i 0.0232836 0.429441i
\(765\) −5.21517 7.69180i −0.188555 0.278098i
\(766\) −60.3632 −2.18101
\(767\) 31.3619 + 15.6506i 1.13241 + 0.565112i
\(768\) 20.9791 0.757019
\(769\) −5.06183 7.46565i −0.182534 0.269218i 0.725403 0.688325i \(-0.241654\pi\)
−0.907937 + 0.419107i \(0.862343\pi\)
\(770\) −2.80748 + 51.7809i −0.101175 + 1.86605i
\(771\) 3.92746 9.85718i 0.141444 0.354998i
\(772\) −31.1124 + 14.3941i −1.11976 + 0.518057i
\(773\) −7.08070 + 4.26032i